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<!DOCTYPE html> <html lang="en"> <head> <meta content="text/html; charset=utf-8" http-equiv="content-type"/> <title>Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering</title>  <meta content="width=device-width, initial-scale=1, shrink-to-fit=no" name="viewport"/> <link href="https://cdn.jsdelivr.net/npm/bootstrap@5.3.0/dist/css/bootstrap.min.css" rel="stylesheet" type="text/css"/> <link href="/static/browse/0.3.4/css/ar5iv.0.7.9.min.css" rel="stylesheet" type="text/css"/> <link href="/static/browse/0.3.4/css/ar5iv-fonts.0.7.9.min.css" rel="stylesheet" type="text/css"/> <link href="/static/browse/0.3.4/css/latexml_styles.css" rel="stylesheet" type="text/css"/> <script src="https://cdn.jsdelivr.net/npm/bootstrap@5.3.0/dist/js/bootstrap.bundle.min.js"></script> <script src="https://cdnjs.cloudflare.com/ajax/libs/html2canvas/1.3.3/html2canvas.min.js"></script> <script src="/static/browse/0.3.4/js/addons_new.js"></script> <script src="/static/browse/0.3.4/js/feedbackOverlay.js"></script> <base href="/html/2407.10389v3/"/></head> <body> <nav class="ltx_page_navbar"> <nav class="ltx_TOC"> <ol class="ltx_toclist"> <li class="ltx_tocentry ltx_tocentry_section"><a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S1" title="In Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">1 Introduction</a></li> <li class="ltx_tocentry ltx_tocentry_section"> <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S2" title="In Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">2 Related works</a> <ol class="ltx_toclist ltx_toclist_section"> <li class="ltx_tocentry ltx_tocentry_subsection"><a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S2.SS1" title="In 2 Related works ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">2.1 Neural Radiance Field</a></li> <li class="ltx_tocentry ltx_tocentry_subsection"><a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S2.SS2" title="In 2 Related works ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">2.2 Fast Neural Radiance Fields</a></li> <li class="ltx_tocentry ltx_tocentry_subsection"><a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S2.SS3" title="In 2 Related works ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">2.3 Mixture of Experts and Sparse MoE</a></li> <li class="ltx_tocentry ltx_tocentry_subsection"><a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S2.SS4" title="In 2 Related works ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">2.4 MoE and NeRF</a></li> </ol> </li> <li class="ltx_tocentry ltx_tocentry_section"> <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S3" title="In Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">3 Method</a> <ol class="ltx_toclist ltx_toclist_section"> <li class="ltx_tocentry ltx_tocentry_subsection"><a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S3.SS1" title="In 3 Method ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">3.1 Overview</a></li> <li class="ltx_tocentry ltx_tocentry_subsection"><a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S3.SS2" title="In 3 Method ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">3.2 Ray Sampling and Filtering</a></li> <li class="ltx_tocentry ltx_tocentry_subsection"><a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S3.SS3" title="In 3 Method ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">3.3 Trainable Gating Model</a></li> <li class="ltx_tocentry ltx_tocentry_subsection"><a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S3.SS4" title="In 3 Method ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">3.4 NeRFs Experts</a></li> <li class="ltx_tocentry ltx_tocentry_subsection"><a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S3.SS5" title="In 3 Method ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">3.5 Resolution-based Routing</a></li> </ol> </li> <li class="ltx_tocentry ltx_tocentry_section"> <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S4" title="In Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">4 Experiments</a> <ol class="ltx_toclist ltx_toclist_section"> <li class="ltx_tocentry ltx_tocentry_subsection"><a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S4.SS1" title="In 4 Experiments ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">4.1 Setting</a></li> <li class="ltx_tocentry ltx_tocentry_subsection"><a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S4.SS2" title="In 4 Experiments ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">4.2 Metrics and Datasets</a></li> <li class="ltx_tocentry ltx_tocentry_subsection"><a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S4.SS3" title="In 4 Experiments ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">4.3 Quantitative Results</a></li> <li class="ltx_tocentry ltx_tocentry_subsection"><a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S4.SS4" title="In 4 Experiments ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">4.4 Qualitative Results</a></li> <li class="ltx_tocentry ltx_tocentry_subsection"><a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S4.SS5" title="In 4 Experiments ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">4.5 Comparison with Naive Methods</a></li> <li class="ltx_tocentry ltx_tocentry_subsection"><a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S4.SS6" title="In 4 Experiments ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">4.6 Gate Visualization and Scene Decomposition</a></li> <li class="ltx_tocentry ltx_tocentry_subsection"> <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S4.SS7" title="In 4 Experiments ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">4.7 Ablation</a> <ol class="ltx_toclist ltx_toclist_subsection"> <li class="ltx_tocentry ltx_tocentry_subsubsection"><a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S4.SS7.SSS1" title="In 4.7 Ablation ‣ 4 Experiments ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">4.7.1 Gate Resolution and Gate Formulation.</a></li> <li class="ltx_tocentry ltx_tocentry_subsubsection"><a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S4.SS7.SSS2" title="In 4.7 Ablation ‣ 4 Experiments ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">4.7.2 Why Top-2?</a></li> </ol> </li> </ol> </li> <li class="ltx_tocentry ltx_tocentry_section"><a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S5" title="In Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">5 Limitations</a></li> <li class="ltx_tocentry ltx_tocentry_section"><a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S6" title="In Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">6 Conclusions</a></li> <li class="ltx_tocentry ltx_tocentry_section"> <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S7" title="In Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">7 Additional Details</a> <ol class="ltx_toclist ltx_toclist_section"> <li class="ltx_tocentry ltx_tocentry_subsection"><a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S7.SS1" title="In 7 Additional Details ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">7.1 <math alttext="\|w\|_{0}" class="ltx_Math" display="inline"><semantics><msub><mrow><mo stretchy="false">‖</mo><mi>w</mi><mo stretchy="false">‖</mo></mrow><mn>0</mn></msub><annotation-xml encoding="MathML-Content"><apply><csymbol cd="ambiguous">subscript</csymbol><apply><csymbol cd="latexml">norm</csymbol><ci>𝑤</ci></apply><cn type="integer">0</cn></apply></annotation-xml><annotation encoding="application/x-tex">\|w\|_{0}</annotation><annotation encoding="application/x-llamapun">∥ italic_w ∥ start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT</annotation></semantics></math> Computation</a></li> <li class="ltx_tocentry ltx_tocentry_subsection"><a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S7.SS2" title="In 7 Additional Details ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">7.2 Instant-NGP Implementation</a></li> <li class="ltx_tocentry ltx_tocentry_subsection"><a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S7.SS3" title="In 7 Additional Details ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">7.3 Ensembling NeRFs’ Outputs</a></li> </ol> </li> <li class="ltx_tocentry ltx_tocentry_section"><a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S8" title="In Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">8 Algorithm</a></li> <li class="ltx_tocentry ltx_tocentry_section"><a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S9" title="In Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">9 Resolution Penalties</a></li> <li class="ltx_tocentry ltx_tocentry_section"><a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S10" title="In Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">10 Visualizing Experts Specialization</a></li> <li class="ltx_tocentry ltx_tocentry_section"><a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S11" title="In Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">11 Comparison with SoTA Methods</a></li> <li class="ltx_tocentry ltx_tocentry_section"><a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S12" title="In Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">12 Additional Results</a></li> </ol></nav> </nav> <div class="ltx_page_main"> <div class="ltx_page_content"> <article class="ltx_document ltx_authors_1line">11institutetext: University of Turin, Italy 22institutetext: LTCI, Télécom Paris, Institut Polytechnique de Paris, France 22email: francesco.disario@unito.it <h1 class="ltx_title ltx_title_document">Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering</h1> <div class="ltx_authors"> Francesco Di Sario 11 <a class="ltx_ref" href="https://orcid.org/0009-0005-6969-1246" title="ORCID identifier">0009-0005-6969-1246</a> Riccardo Renzulli 11 <a class="ltx_ref" href="https://orcid.org/0000-0003-0532-5966" title="ORCID identifier">0000-0003-0532-5966</a> Enzo Tartaglione 22 <a class="ltx_ref" href="https://orcid.org/0000-0003-4274-8298" title="ORCID identifier">0000-0003-4274-8298</a> Marco Grangetto 11 <a class="ltx_ref" href="https://orcid.org/0000-0002-2709-7864" title="ORCID identifier">0000-0002-2709-7864</a> </div> <div class="ltx_abstract"> <h6 class="ltx_title ltx_title_abstract">Abstract</h6> Since the introduction of NeRFs, considerable attention has been focused on improving their training and inference times, leading to the development of Fast-NeRFs models. Despite demonstrating impressive rendering speed and quality, the rapid convergence of such models poses challenges for further improving reconstruction quality. Common strategies to improve rendering quality involves augmenting model parameters or increasing the number of sampled points. However, these computationally intensive approaches encounter limitations in achieving significant quality enhancements. This study introduces a model-agnostic framework inspired by Sparsely-Gated Mixture of Experts to enhance rendering quality without escalating computational complexity. Our approach enables specialization in rendering different scene components by employing a mixture of experts with varying resolutions. We present a novel gate formulation designed to maximize expert capabilities and propose a resolution-based routing technique to effectively induce sparsity and decompose scenes. Our work significantly improves reconstruction quality while maintaining competitive performance. Project page: <a class="ltx_ref ltx_url ltx_font_typewriter" href="https://eidoslab.github.io/boost-your-nerf/" title="">https://eidoslab.github.io/boost-your-nerf/</a>. </div> <section class="ltx_section" id="S1"> <h2 class="ltx_title ltx_title_section"> 1 Introduction</h2> <div class="ltx_para" id="S1.p1"> Neural Radiance Fields (NeRFs) <cite class="ltx_cite ltx_citemacro_cite">[<a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#bib.bib25" title="">25</a>]</cite> have recently shown impressive results in synthesizing photo-realistic 3D scenes from a set of 2D images. However, NeRFs suffer from limited scene diversity, long training time, and sensitivity to training data <cite class="ltx_cite ltx_citemacro_cite">[<a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#bib.bib22" title="">22</a>]</cite>. Since the introduction of NeRFs, significant attention has been directed toward improving their training and inference times, resulting in the development of Fast-NeRFs. By using auxiliary data structures such as voxel grids to store scene geometry and skip empty spaces, the training and inference process can be accelerated by several orders of magnitude. As a result, the neural component of these models, which is usually used to transform learned features into view-dependent color representations, becomes much smaller and can sometimes be replaced entirely by spherical harmonics <cite class="ltx_cite ltx_citemacro_cite">[<a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#bib.bib11" title="">11</a>]</cite>. Despite Fast NeRFs being an improvement from the original NeRF framework, achieving high-quality and efficient reconstructed geometry is still an open problem. </div> <div class="ltx_para" id="S1.p2"> Typical “naive” approaches to enhance the reconstruction quality of these models include: </div> <div class="ltx_para" id="S1.p3"> <ol class="ltx_enumerate" id="S1.I1"> <li class="ltx_item" id="S1.I1.i1" style="list-style-type:none;"> 1. <div class="ltx_para" id="S1.I1.i1.p1"> Increasing the parameters and resolution of the used data structures (e.g., voxel grid, hash grid, etc.). </div> </li> <li class="ltx_item" id="S1.I1.i2" style="list-style-type:none;"> 2. <div class="ltx_para" id="S1.I1.i2.p1"> Increasing the number of sampled points per ray. </div> </li> <li class="ltx_item" id="S1.I1.i3" style="list-style-type:none;"> 3. <div class="ltx_para" id="S1.I1.i3.p1"> Increasing the number of parameters in the neural network or the order of spherical harmonics. </div> </li> </ol> However, as evident from Figure <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S1.F1" title="Figure 1 ‣ 1 Introduction ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">1</a>, the increase in reconstruction quality results in a significant increase in computational costs. In the first approach, increasing the resolution can lead to a significant improvement in the reconstruction quality, but a plateau is reached beyond which overfitting occurs, and reconstruction quality degrades. This comes at the expense of a considerable increase in spatial complexity (especially with dense voxel grids) and training times. Increasing the number of sampled points per ray can marginally improve reconstruction quality further but at a significant increase in computational complexity. In fact, the higher the number of sampled rays, the higher forward passes through a neural network are needed. Augmenting the number of parameters in the neural network is another solution. However, as the neural network grows in depth and width, it tends towards a fully implicit model, deviating from the principles of fast models (limiting the neural part as much as possible - or even removing it altogether). </div> <figure class="ltx_figure" id="S1.F1"> <div class="ltx_flex_figure"> <div class="ltx_flex_cell ltx_flex_size_3"> <div class="ltx_block ltx_figure_panel ltx_minipage ltx_align_center ltx_align_bottom" id="S1.F1.1" style="width:138.8pt;"> <img alt="Refer to caption" class="ltx_graphics ltx_img_landscape" height="593" id="S1.F1.1.g1" src="x1.png" width="830"/> </div> </div> <div class="ltx_flex_cell ltx_flex_size_3"> <div class="ltx_block ltx_figure_panel ltx_minipage ltx_align_center ltx_align_bottom" id="S1.F1.2" style="width:138.8pt;"> <img alt="Refer to caption" class="ltx_graphics ltx_img_landscape" height="593" id="S1.F1.2.g1" src="x2.png" width="830"/> </div> </div> <div class="ltx_flex_cell ltx_flex_size_3"> <div class="ltx_block ltx_figure_panel ltx_minipage ltx_align_center ltx_align_bottom" id="S1.F1.3" style="width:138.8pt;"> <img alt="Refer to caption" class="ltx_graphics ltx_img_landscape" height="593" id="S1.F1.3.g1" src="x3.png" width="830"/> </div> </div> </div> <figcaption class="ltx_caption ltx_centering">Figure 1: Different strategies for improving reconstruction quality with Fast-NeRFs (DVGO <cite class="ltx_cite ltx_citemacro_cite">[<a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#bib.bib30" title="">30</a>]</cite>). Increasing the resolution of data structures like voxel grids can improve render quality, but only up to a certain point, after which quality declines (left). The MLP component’s impact on rendering quality is analyzed by varying its depth and width while keeping other variables constant (center). The effect of the number of sampled points along each ray is examined by decreasing the step size (right). In gray, our method’s performance, which significantly improves PSNR at a low computational cost.</figcaption> </figure> <div class="ltx_para" id="S1.p4"> We propose a technique capable of significantly enhancing the reconstruction quality of such models while maintaining competitive training and rendering times. Inspired by the Sparse Mixture of Experts (MoE) paradigm <cite class="ltx_cite ltx_citemacro_cite">[<a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#bib.bib29" title="">29</a>]</cite>, we have developed a model-agnostic framework capable of improving the reconstruction quality of various state-of-the-art models. Intuitively, our mixture of experts consists of different-capacity (resolution) models. During training, each model specializes in rendering the most suitable parts of the scene, i.e. low-resolution models render low-frequency parts of the scene, while high-resolution models render high-frequency parts. Our formulation of the gate allows our method to be model-agnostic, enabling, on the one hand, the insertion of the gate function at the early stages of the MoE mechanism and, on the other hand, the multiplication of the gate’s output with the experts’ output as late as possible. This maximizes the capabilities of the mixture of experts and allows for working directly with the output of each expert, which is considered a black box. This is why our method is inherently model-agnostic. In summary, our contributions are as follows: <ol class="ltx_enumerate" id="S1.I2"> <li class="ltx_item" id="S1.I2.i1" style="list-style-type:none;"> 1. <div class="ltx_para" id="S1.I2.i1.p1"> We propose the first model-agnostic framework based on Sparse MoE of models at different resolutions, which significantly improves the rendering quality of such models while maintaining competitive training and inference times (Sec. <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S3" title="3 Method ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">3</a>). </div> </li> <li class="ltx_item" id="S1.I2.i2" style="list-style-type:none;"> 2. <div class="ltx_para" id="S1.I2.i2.p1"> We provide a novel gate formulation inspired by Fast-NeRF models, which maximizes the capability of the mixture of experts (Sec. <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S3.SS3" title="3.3 Trainable Gating Model ‣ 3 Method ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">3.3</a>). </div> </li> <li class="ltx_item" id="S1.I2.i3" style="list-style-type:none;"> 3. <div class="ltx_para" id="S1.I2.i3.p1"> We introduce a new routing technique based on resolution, favoring the assignment of tokens to low-resolution models and discouraging the assignment of tokens to high-resolution models, inducing increasing sparsity in high-resolution models and decomposing the scene based on frequency (Sec. <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S3.SS5" title="3.5 Resolution-based Routing ‣ 3 Method ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">3.5</a>). </div> </li> <li class="ltx_item" id="S1.I2.i4" style="list-style-type:none;"> 4. <div class="ltx_para" id="S1.I2.i4.p1"> We conduct extensive experiments to test our method, including different NeRFs architectures and datasets, showing higher rendering quality and efficiency (Sec. <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S4" title="4 Experiments ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">4</a>). </div> </li> </ol> </div> </section> <section class="ltx_section" id="S2"> <h2 class="ltx_title ltx_title_section"> 2 Related works</h2> <section class="ltx_subsection" id="S2.SS1"> <h3 class="ltx_title ltx_title_subsection"> 2.1 Neural Radiance Field</h3> <div class="ltx_para" id="S2.SS1.p1"> NeRF <cite class="ltx_cite ltx_citemacro_cite">[<a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#bib.bib25" title="">25</a>]</cite> (Neural Radiance Field) has emerged as a prominent method for synthesizing novel views, showing significant progress. This approach requires a moderate number of input images along with their known camera poses. Unlike traditional methods that rely on explicit and discretized volumetric representations such as voxel grids and multiplane images, NeRF employs a coordinate-based multilayer perceptron (MLP) to create an implicit and continuous volumetric representation. NeRFs can represent a 3D scene as a MLP <math alttext="F_{\theta}" class="ltx_Math" display="inline" id="S2.SS1.p1.1.m1.1"><semantics id="S2.SS1.p1.1.m1.1a"><msub id="S2.SS1.p1.1.m1.1.1" xref="S2.SS1.p1.1.m1.1.1.cmml"><mi id="S2.SS1.p1.1.m1.1.1.2" xref="S2.SS1.p1.1.m1.1.1.2.cmml">F</mi><mi id="S2.SS1.p1.1.m1.1.1.3" xref="S2.SS1.p1.1.m1.1.1.3.cmml">θ</mi></msub><annotation-xml encoding="MathML-Content" id="S2.SS1.p1.1.m1.1b"><apply id="S2.SS1.p1.1.m1.1.1.cmml" xref="S2.SS1.p1.1.m1.1.1"><csymbol cd="ambiguous" id="S2.SS1.p1.1.m1.1.1.1.cmml" xref="S2.SS1.p1.1.m1.1.1">subscript</csymbol><ci id="S2.SS1.p1.1.m1.1.1.2.cmml" xref="S2.SS1.p1.1.m1.1.1.2">𝐹</ci><ci id="S2.SS1.p1.1.m1.1.1.3.cmml" xref="S2.SS1.p1.1.m1.1.1.3">𝜃</ci></apply></annotation-xml><annotation encoding="application/x-tex" id="S2.SS1.p1.1.m1.1c">F_{\theta}</annotation><annotation encoding="application/x-llamapun" id="S2.SS1.p1.1.m1.1d">italic_F start_POSTSUBSCRIPT italic_θ end_POSTSUBSCRIPT</annotation></semantics></math>, with <math alttext="\theta" class="ltx_Math" display="inline" id="S2.SS1.p1.2.m2.1"><semantics id="S2.SS1.p1.2.m2.1a"><mi id="S2.SS1.p1.2.m2.1.1" xref="S2.SS1.p1.2.m2.1.1.cmml">θ</mi><annotation-xml encoding="MathML-Content" id="S2.SS1.p1.2.m2.1b"><ci id="S2.SS1.p1.2.m2.1.1.cmml" xref="S2.SS1.p1.2.m2.1.1">𝜃</ci></annotation-xml><annotation encoding="application/x-tex" id="S2.SS1.p1.2.m2.1c">\theta</annotation><annotation encoding="application/x-llamapun" id="S2.SS1.p1.2.m2.1d">italic_θ</annotation></semantics></math> being the set of its trainable parameters, such that <math alttext="F_{\theta}:(\mathbf{x},\mathbf{d})\rightarrow(\mathbf{c},\sigma)" class="ltx_Math" display="inline" id="S2.SS1.p1.3.m3.4"><semantics id="S2.SS1.p1.3.m3.4a"><mrow id="S2.SS1.p1.3.m3.4.5" xref="S2.SS1.p1.3.m3.4.5.cmml"><msub id="S2.SS1.p1.3.m3.4.5.2" xref="S2.SS1.p1.3.m3.4.5.2.cmml"><mi id="S2.SS1.p1.3.m3.4.5.2.2" xref="S2.SS1.p1.3.m3.4.5.2.2.cmml">F</mi><mi id="S2.SS1.p1.3.m3.4.5.2.3" xref="S2.SS1.p1.3.m3.4.5.2.3.cmml">θ</mi></msub><mo id="S2.SS1.p1.3.m3.4.5.1" lspace="0.278em" rspace="0.278em" xref="S2.SS1.p1.3.m3.4.5.1.cmml">:</mo><mrow id="S2.SS1.p1.3.m3.4.5.3" xref="S2.SS1.p1.3.m3.4.5.3.cmml"><mrow id="S2.SS1.p1.3.m3.4.5.3.2.2" xref="S2.SS1.p1.3.m3.4.5.3.2.1.cmml"><mo id="S2.SS1.p1.3.m3.4.5.3.2.2.1" stretchy="false" xref="S2.SS1.p1.3.m3.4.5.3.2.1.cmml">(</mo><mi id="S2.SS1.p1.3.m3.1.1" xref="S2.SS1.p1.3.m3.1.1.cmml">𝐱</mi><mo id="S2.SS1.p1.3.m3.4.5.3.2.2.2" xref="S2.SS1.p1.3.m3.4.5.3.2.1.cmml">,</mo><mi id="S2.SS1.p1.3.m3.2.2" xref="S2.SS1.p1.3.m3.2.2.cmml">𝐝</mi><mo id="S2.SS1.p1.3.m3.4.5.3.2.2.3" stretchy="false" xref="S2.SS1.p1.3.m3.4.5.3.2.1.cmml">)</mo></mrow><mo id="S2.SS1.p1.3.m3.4.5.3.1" stretchy="false" xref="S2.SS1.p1.3.m3.4.5.3.1.cmml">→</mo><mrow id="S2.SS1.p1.3.m3.4.5.3.3.2" xref="S2.SS1.p1.3.m3.4.5.3.3.1.cmml"><mo id="S2.SS1.p1.3.m3.4.5.3.3.2.1" stretchy="false" xref="S2.SS1.p1.3.m3.4.5.3.3.1.cmml">(</mo><mi id="S2.SS1.p1.3.m3.3.3" xref="S2.SS1.p1.3.m3.3.3.cmml">𝐜</mi><mo id="S2.SS1.p1.3.m3.4.5.3.3.2.2" xref="S2.SS1.p1.3.m3.4.5.3.3.1.cmml">,</mo><mi id="S2.SS1.p1.3.m3.4.4" xref="S2.SS1.p1.3.m3.4.4.cmml">σ</mi><mo id="S2.SS1.p1.3.m3.4.5.3.3.2.3" stretchy="false" xref="S2.SS1.p1.3.m3.4.5.3.3.1.cmml">)</mo></mrow></mrow></mrow><annotation-xml encoding="MathML-Content" id="S2.SS1.p1.3.m3.4b"><apply id="S2.SS1.p1.3.m3.4.5.cmml" xref="S2.SS1.p1.3.m3.4.5"><ci id="S2.SS1.p1.3.m3.4.5.1.cmml" xref="S2.SS1.p1.3.m3.4.5.1">:</ci><apply id="S2.SS1.p1.3.m3.4.5.2.cmml" xref="S2.SS1.p1.3.m3.4.5.2"><csymbol cd="ambiguous" id="S2.SS1.p1.3.m3.4.5.2.1.cmml" xref="S2.SS1.p1.3.m3.4.5.2">subscript</csymbol><ci id="S2.SS1.p1.3.m3.4.5.2.2.cmml" xref="S2.SS1.p1.3.m3.4.5.2.2">𝐹</ci><ci id="S2.SS1.p1.3.m3.4.5.2.3.cmml" xref="S2.SS1.p1.3.m3.4.5.2.3">𝜃</ci></apply><apply id="S2.SS1.p1.3.m3.4.5.3.cmml" xref="S2.SS1.p1.3.m3.4.5.3"><ci id="S2.SS1.p1.3.m3.4.5.3.1.cmml" xref="S2.SS1.p1.3.m3.4.5.3.1">→</ci><interval closure="open" id="S2.SS1.p1.3.m3.4.5.3.2.1.cmml" xref="S2.SS1.p1.3.m3.4.5.3.2.2"><ci id="S2.SS1.p1.3.m3.1.1.cmml" xref="S2.SS1.p1.3.m3.1.1">𝐱</ci><ci id="S2.SS1.p1.3.m3.2.2.cmml" xref="S2.SS1.p1.3.m3.2.2">𝐝</ci></interval><interval closure="open" id="S2.SS1.p1.3.m3.4.5.3.3.1.cmml" xref="S2.SS1.p1.3.m3.4.5.3.3.2"><ci id="S2.SS1.p1.3.m3.3.3.cmml" xref="S2.SS1.p1.3.m3.3.3">𝐜</ci><ci id="S2.SS1.p1.3.m3.4.4.cmml" xref="S2.SS1.p1.3.m3.4.4">𝜎</ci></interval></apply></apply></annotation-xml><annotation encoding="application/x-tex" id="S2.SS1.p1.3.m3.4c">F_{\theta}:(\mathbf{x},\mathbf{d})\rightarrow(\mathbf{c},\sigma)</annotation><annotation encoding="application/x-llamapun" id="S2.SS1.p1.3.m3.4d">italic_F start_POSTSUBSCRIPT italic_θ end_POSTSUBSCRIPT : ( bold_x , bold_d ) → ( bold_c , italic_σ )</annotation></semantics></math> which maps <math alttext="(\mathbf{x},\mathbf{d})" class="ltx_Math" display="inline" id="S2.SS1.p1.4.m4.2"><semantics id="S2.SS1.p1.4.m4.2a"><mrow id="S2.SS1.p1.4.m4.2.3.2" xref="S2.SS1.p1.4.m4.2.3.1.cmml"><mo id="S2.SS1.p1.4.m4.2.3.2.1" stretchy="false" xref="S2.SS1.p1.4.m4.2.3.1.cmml">(</mo><mi id="S2.SS1.p1.4.m4.1.1" xref="S2.SS1.p1.4.m4.1.1.cmml">𝐱</mi><mo id="S2.SS1.p1.4.m4.2.3.2.2" xref="S2.SS1.p1.4.m4.2.3.1.cmml">,</mo><mi id="S2.SS1.p1.4.m4.2.2" xref="S2.SS1.p1.4.m4.2.2.cmml">𝐝</mi><mo id="S2.SS1.p1.4.m4.2.3.2.3" stretchy="false" xref="S2.SS1.p1.4.m4.2.3.1.cmml">)</mo></mrow><annotation-xml encoding="MathML-Content" id="S2.SS1.p1.4.m4.2b"><interval closure="open" id="S2.SS1.p1.4.m4.2.3.1.cmml" xref="S2.SS1.p1.4.m4.2.3.2"><ci id="S2.SS1.p1.4.m4.1.1.cmml" xref="S2.SS1.p1.4.m4.1.1">𝐱</ci><ci id="S2.SS1.p1.4.m4.2.2.cmml" xref="S2.SS1.p1.4.m4.2.2">𝐝</ci></interval></annotation-xml><annotation encoding="application/x-tex" id="S2.SS1.p1.4.m4.2c">(\mathbf{x},\mathbf{d})</annotation><annotation encoding="application/x-llamapun" id="S2.SS1.p1.4.m4.2d">( bold_x , bold_d )</annotation></semantics></math>, a 3D position <math alttext="\mathbf{x}" class="ltx_Math" display="inline" id="S2.SS1.p1.5.m5.1"><semantics id="S2.SS1.p1.5.m5.1a"><mi id="S2.SS1.p1.5.m5.1.1" xref="S2.SS1.p1.5.m5.1.1.cmml">𝐱</mi><annotation-xml encoding="MathML-Content" id="S2.SS1.p1.5.m5.1b"><ci id="S2.SS1.p1.5.m5.1.1.cmml" xref="S2.SS1.p1.5.m5.1.1">𝐱</ci></annotation-xml><annotation encoding="application/x-tex" id="S2.SS1.p1.5.m5.1c">\mathbf{x}</annotation><annotation encoding="application/x-llamapun" id="S2.SS1.p1.5.m5.1d">bold_x</annotation></semantics></math> and a viewing direction <math alttext="\mathbf{d}" class="ltx_Math" display="inline" id="S2.SS1.p1.6.m6.1"><semantics id="S2.SS1.p1.6.m6.1a"><mi id="S2.SS1.p1.6.m6.1.1" xref="S2.SS1.p1.6.m6.1.1.cmml">𝐝</mi><annotation-xml encoding="MathML-Content" id="S2.SS1.p1.6.m6.1b"><ci id="S2.SS1.p1.6.m6.1.1.cmml" xref="S2.SS1.p1.6.m6.1.1">𝐝</ci></annotation-xml><annotation encoding="application/x-tex" id="S2.SS1.p1.6.m6.1c">\mathbf{d}</annotation><annotation encoding="application/x-llamapun" id="S2.SS1.p1.6.m6.1d">bold_d</annotation></semantics></math>, to a view-dependent color emission <math alttext="\mathbf{c}" class="ltx_Math" display="inline" id="S2.SS1.p1.7.m7.1"><semantics id="S2.SS1.p1.7.m7.1a"><mi id="S2.SS1.p1.7.m7.1.1" xref="S2.SS1.p1.7.m7.1.1.cmml">𝐜</mi><annotation-xml encoding="MathML-Content" id="S2.SS1.p1.7.m7.1b"><ci id="S2.SS1.p1.7.m7.1.1.cmml" xref="S2.SS1.p1.7.m7.1.1">𝐜</ci></annotation-xml><annotation encoding="application/x-tex" id="S2.SS1.p1.7.m7.1c">\mathbf{c}</annotation><annotation encoding="application/x-llamapun" id="S2.SS1.p1.7.m7.1d">bold_c</annotation></semantics></math> and density value <math alttext="\sigma" class="ltx_Math" display="inline" id="S2.SS1.p1.8.m8.1"><semantics id="S2.SS1.p1.8.m8.1a"><mi id="S2.SS1.p1.8.m8.1.1" xref="S2.SS1.p1.8.m8.1.1.cmml">σ</mi><annotation-xml encoding="MathML-Content" id="S2.SS1.p1.8.m8.1b"><ci id="S2.SS1.p1.8.m8.1.1.cmml" xref="S2.SS1.p1.8.m8.1.1">𝜎</ci></annotation-xml><annotation encoding="application/x-tex" id="S2.SS1.p1.8.m8.1c">\sigma</annotation><annotation encoding="application/x-llamapun" id="S2.SS1.p1.8.m8.1d">italic_σ</annotation></semantics></math>. To render the color of a pixel <math alttext="\hat{C}(\mathbf{r})" class="ltx_Math" display="inline" id="S2.SS1.p1.9.m9.1"><semantics id="S2.SS1.p1.9.m9.1a"><mrow id="S2.SS1.p1.9.m9.1.2" xref="S2.SS1.p1.9.m9.1.2.cmml"><mover accent="true" id="S2.SS1.p1.9.m9.1.2.2" xref="S2.SS1.p1.9.m9.1.2.2.cmml"><mi id="S2.SS1.p1.9.m9.1.2.2.2" xref="S2.SS1.p1.9.m9.1.2.2.2.cmml">C</mi><mo id="S2.SS1.p1.9.m9.1.2.2.1" xref="S2.SS1.p1.9.m9.1.2.2.1.cmml">^</mo></mover><mo id="S2.SS1.p1.9.m9.1.2.1" xref="S2.SS1.p1.9.m9.1.2.1.cmml">⁢</mo><mrow id="S2.SS1.p1.9.m9.1.2.3.2" xref="S2.SS1.p1.9.m9.1.2.cmml"><mo id="S2.SS1.p1.9.m9.1.2.3.2.1" stretchy="false" xref="S2.SS1.p1.9.m9.1.2.cmml">(</mo><mi id="S2.SS1.p1.9.m9.1.1" xref="S2.SS1.p1.9.m9.1.1.cmml">𝐫</mi><mo id="S2.SS1.p1.9.m9.1.2.3.2.2" stretchy="false" xref="S2.SS1.p1.9.m9.1.2.cmml">)</mo></mrow></mrow><annotation-xml encoding="MathML-Content" id="S2.SS1.p1.9.m9.1b"><apply id="S2.SS1.p1.9.m9.1.2.cmml" xref="S2.SS1.p1.9.m9.1.2"><times id="S2.SS1.p1.9.m9.1.2.1.cmml" xref="S2.SS1.p1.9.m9.1.2.1"></times><apply id="S2.SS1.p1.9.m9.1.2.2.cmml" xref="S2.SS1.p1.9.m9.1.2.2"><ci id="S2.SS1.p1.9.m9.1.2.2.1.cmml" xref="S2.SS1.p1.9.m9.1.2.2.1">^</ci><ci id="S2.SS1.p1.9.m9.1.2.2.2.cmml" xref="S2.SS1.p1.9.m9.1.2.2.2">𝐶</ci></apply><ci id="S2.SS1.p1.9.m9.1.1.cmml" xref="S2.SS1.p1.9.m9.1.1">𝐫</ci></apply></annotation-xml><annotation encoding="application/x-tex" id="S2.SS1.p1.9.m9.1c">\hat{C}(\mathbf{r})</annotation><annotation encoding="application/x-llamapun" id="S2.SS1.p1.9.m9.1d">over^ start_ARG italic_C end_ARG ( bold_r )</annotation></semantics></math>, a ray <math alttext="\mathbf{r}" class="ltx_Math" display="inline" id="S2.SS1.p1.10.m10.1"><semantics id="S2.SS1.p1.10.m10.1a"><mi id="S2.SS1.p1.10.m10.1.1" xref="S2.SS1.p1.10.m10.1.1.cmml">𝐫</mi><annotation-xml encoding="MathML-Content" id="S2.SS1.p1.10.m10.1b"><ci id="S2.SS1.p1.10.m10.1.1.cmml" xref="S2.SS1.p1.10.m10.1.1">𝐫</ci></annotation-xml><annotation encoding="application/x-tex" id="S2.SS1.p1.10.m10.1c">\mathbf{r}</annotation><annotation encoding="application/x-llamapun" id="S2.SS1.p1.10.m10.1d">bold_r</annotation></semantics></math> traverses the center of the camera through the pixel of the image plane from an origin point <math alttext="\mathbf{o}" class="ltx_Math" display="inline" id="S2.SS1.p1.11.m11.1"><semantics id="S2.SS1.p1.11.m11.1a"><mi id="S2.SS1.p1.11.m11.1.1" xref="S2.SS1.p1.11.m11.1.1.cmml">𝐨</mi><annotation-xml encoding="MathML-Content" id="S2.SS1.p1.11.m11.1b"><ci id="S2.SS1.p1.11.m11.1.1.cmml" xref="S2.SS1.p1.11.m11.1.1">𝐨</ci></annotation-xml><annotation encoding="application/x-tex" id="S2.SS1.p1.11.m11.1c">\mathbf{o}</annotation><annotation encoding="application/x-llamapun" id="S2.SS1.p1.11.m11.1d">bold_o</annotation></semantics></math> to a ray having position <math alttext="\mathbf{r}(t)=\mathbf{o}+t\mathbf{d}" class="ltx_Math" display="inline" id="S2.SS1.p1.12.m12.1"><semantics id="S2.SS1.p1.12.m12.1a"><mrow id="S2.SS1.p1.12.m12.1.2" xref="S2.SS1.p1.12.m12.1.2.cmml"><mrow id="S2.SS1.p1.12.m12.1.2.2" xref="S2.SS1.p1.12.m12.1.2.2.cmml"><mi id="S2.SS1.p1.12.m12.1.2.2.2" xref="S2.SS1.p1.12.m12.1.2.2.2.cmml">𝐫</mi><mo id="S2.SS1.p1.12.m12.1.2.2.1" xref="S2.SS1.p1.12.m12.1.2.2.1.cmml">⁢</mo><mrow id="S2.SS1.p1.12.m12.1.2.2.3.2" xref="S2.SS1.p1.12.m12.1.2.2.cmml"><mo id="S2.SS1.p1.12.m12.1.2.2.3.2.1" stretchy="false" xref="S2.SS1.p1.12.m12.1.2.2.cmml">(</mo><mi id="S2.SS1.p1.12.m12.1.1" xref="S2.SS1.p1.12.m12.1.1.cmml">t</mi><mo id="S2.SS1.p1.12.m12.1.2.2.3.2.2" stretchy="false" xref="S2.SS1.p1.12.m12.1.2.2.cmml">)</mo></mrow></mrow><mo id="S2.SS1.p1.12.m12.1.2.1" xref="S2.SS1.p1.12.m12.1.2.1.cmml">=</mo><mrow id="S2.SS1.p1.12.m12.1.2.3" xref="S2.SS1.p1.12.m12.1.2.3.cmml"><mi id="S2.SS1.p1.12.m12.1.2.3.2" xref="S2.SS1.p1.12.m12.1.2.3.2.cmml">𝐨</mi><mo id="S2.SS1.p1.12.m12.1.2.3.1" xref="S2.SS1.p1.12.m12.1.2.3.1.cmml">+</mo><mrow id="S2.SS1.p1.12.m12.1.2.3.3" xref="S2.SS1.p1.12.m12.1.2.3.3.cmml"><mi id="S2.SS1.p1.12.m12.1.2.3.3.2" xref="S2.SS1.p1.12.m12.1.2.3.3.2.cmml">t</mi><mo id="S2.SS1.p1.12.m12.1.2.3.3.1" xref="S2.SS1.p1.12.m12.1.2.3.3.1.cmml">⁢</mo><mi id="S2.SS1.p1.12.m12.1.2.3.3.3" xref="S2.SS1.p1.12.m12.1.2.3.3.3.cmml">𝐝</mi></mrow></mrow></mrow><annotation-xml encoding="MathML-Content" id="S2.SS1.p1.12.m12.1b"><apply id="S2.SS1.p1.12.m12.1.2.cmml" xref="S2.SS1.p1.12.m12.1.2"><eq id="S2.SS1.p1.12.m12.1.2.1.cmml" xref="S2.SS1.p1.12.m12.1.2.1"></eq><apply id="S2.SS1.p1.12.m12.1.2.2.cmml" xref="S2.SS1.p1.12.m12.1.2.2"><times id="S2.SS1.p1.12.m12.1.2.2.1.cmml" xref="S2.SS1.p1.12.m12.1.2.2.1"></times><ci id="S2.SS1.p1.12.m12.1.2.2.2.cmml" xref="S2.SS1.p1.12.m12.1.2.2.2">𝐫</ci><ci id="S2.SS1.p1.12.m12.1.1.cmml" xref="S2.SS1.p1.12.m12.1.1">𝑡</ci></apply><apply id="S2.SS1.p1.12.m12.1.2.3.cmml" xref="S2.SS1.p1.12.m12.1.2.3"><plus id="S2.SS1.p1.12.m12.1.2.3.1.cmml" xref="S2.SS1.p1.12.m12.1.2.3.1"></plus><ci id="S2.SS1.p1.12.m12.1.2.3.2.cmml" xref="S2.SS1.p1.12.m12.1.2.3.2">𝐨</ci><apply id="S2.SS1.p1.12.m12.1.2.3.3.cmml" xref="S2.SS1.p1.12.m12.1.2.3.3"><times id="S2.SS1.p1.12.m12.1.2.3.3.1.cmml" xref="S2.SS1.p1.12.m12.1.2.3.3.1"></times><ci id="S2.SS1.p1.12.m12.1.2.3.3.2.cmml" xref="S2.SS1.p1.12.m12.1.2.3.3.2">𝑡</ci><ci id="S2.SS1.p1.12.m12.1.2.3.3.3.cmml" xref="S2.SS1.p1.12.m12.1.2.3.3.3">𝐝</ci></apply></apply></apply></annotation-xml><annotation encoding="application/x-tex" id="S2.SS1.p1.12.m12.1c">\mathbf{r}(t)=\mathbf{o}+t\mathbf{d}</annotation><annotation encoding="application/x-llamapun" id="S2.SS1.p1.12.m12.1d">bold_r ( italic_t ) = bold_o + italic_t bold_d</annotation></semantics></math>. Then, <math alttext="N" class="ltx_Math" display="inline" id="S2.SS1.p1.13.m13.1"><semantics id="S2.SS1.p1.13.m13.1a"><mi id="S2.SS1.p1.13.m13.1.1" xref="S2.SS1.p1.13.m13.1.1.cmml">N</mi><annotation-xml encoding="MathML-Content" id="S2.SS1.p1.13.m13.1b"><ci id="S2.SS1.p1.13.m13.1.1.cmml" xref="S2.SS1.p1.13.m13.1.1">𝑁</ci></annotation-xml><annotation encoding="application/x-tex" id="S2.SS1.p1.13.m13.1c">N</annotation><annotation encoding="application/x-llamapun" id="S2.SS1.p1.13.m13.1d">italic_N</annotation></semantics></math> points are sampled on <math alttext="\mathbf{r}" class="ltx_Math" display="inline" id="S2.SS1.p1.14.m14.1"><semantics id="S2.SS1.p1.14.m14.1a"><mi id="S2.SS1.p1.14.m14.1.1" xref="S2.SS1.p1.14.m14.1.1.cmml">𝐫</mi><annotation-xml encoding="MathML-Content" id="S2.SS1.p1.14.m14.1b"><ci id="S2.SS1.p1.14.m14.1.1.cmml" xref="S2.SS1.p1.14.m14.1.1">𝐫</ci></annotation-xml><annotation encoding="application/x-tex" id="S2.SS1.p1.14.m14.1c">\mathbf{r}</annotation><annotation encoding="application/x-llamapun" id="S2.SS1.p1.14.m14.1d">bold_r</annotation></semantics></math>, and the MLP is queried for each point, obtaining a density and a color value. Finally, these results are accumulated into a single color with the volume rendering equation <cite class="ltx_cite ltx_citemacro_cite">[<a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#bib.bib23" title="">23</a>]</cite>: </div> <div class="ltx_para" id="S2.SS1.p2"> <table class="ltx_equation ltx_eqn_table" id="S2.E1"> <tbody><tr class="ltx_equation ltx_eqn_row ltx_align_baseline"> <td class="ltx_eqn_cell ltx_eqn_center_padleft"></td> <td class="ltx_eqn_cell ltx_align_center"><math alttext="\hat{{C}}(\mathbf{r})=\sum_{i=1}^{K}T_{i}\alpha_{i}c_{i},\qquad T_{i}=\prod_{j% =1}^{i-1}(1-\alpha_{j}),\qquad\alpha_{i}=1-\exp(\sigma_{i}\delta_{i})," class="ltx_Math" display="block" id="S2.E1.m1.3"><semantics id="S2.E1.m1.3a"><mrow id="S2.E1.m1.3.3.1"><mrow id="S2.E1.m1.3.3.1.1.2" xref="S2.E1.m1.3.3.1.1.3.cmml"><mrow id="S2.E1.m1.3.3.1.1.1.1" xref="S2.E1.m1.3.3.1.1.1.1.cmml"><mrow id="S2.E1.m1.3.3.1.1.1.1.2" xref="S2.E1.m1.3.3.1.1.1.1.2.cmml"><mover accent="true" id="S2.E1.m1.3.3.1.1.1.1.2.2" xref="S2.E1.m1.3.3.1.1.1.1.2.2.cmml"><mi id="S2.E1.m1.3.3.1.1.1.1.2.2.2" xref="S2.E1.m1.3.3.1.1.1.1.2.2.2.cmml">C</mi><mo id="S2.E1.m1.3.3.1.1.1.1.2.2.1" xref="S2.E1.m1.3.3.1.1.1.1.2.2.1.cmml">^</mo></mover><mo id="S2.E1.m1.3.3.1.1.1.1.2.1" xref="S2.E1.m1.3.3.1.1.1.1.2.1.cmml">⁢</mo><mrow id="S2.E1.m1.3.3.1.1.1.1.2.3.2" xref="S2.E1.m1.3.3.1.1.1.1.2.cmml"><mo id="S2.E1.m1.3.3.1.1.1.1.2.3.2.1" stretchy="false" xref="S2.E1.m1.3.3.1.1.1.1.2.cmml">(</mo><mi id="S2.E1.m1.1.1" xref="S2.E1.m1.1.1.cmml">𝐫</mi><mo id="S2.E1.m1.3.3.1.1.1.1.2.3.2.2" stretchy="false" xref="S2.E1.m1.3.3.1.1.1.1.2.cmml">)</mo></mrow></mrow><mo id="S2.E1.m1.3.3.1.1.1.1.1" rspace="0.111em" xref="S2.E1.m1.3.3.1.1.1.1.1.cmml">=</mo><mrow id="S2.E1.m1.3.3.1.1.1.1.3" xref="S2.E1.m1.3.3.1.1.1.1.3.cmml"><munderover id="S2.E1.m1.3.3.1.1.1.1.3.1" xref="S2.E1.m1.3.3.1.1.1.1.3.1.cmml"><mo id="S2.E1.m1.3.3.1.1.1.1.3.1.2.2" movablelimits="false" xref="S2.E1.m1.3.3.1.1.1.1.3.1.2.2.cmml">∑</mo><mrow id="S2.E1.m1.3.3.1.1.1.1.3.1.2.3" xref="S2.E1.m1.3.3.1.1.1.1.3.1.2.3.cmml"><mi id="S2.E1.m1.3.3.1.1.1.1.3.1.2.3.2" xref="S2.E1.m1.3.3.1.1.1.1.3.1.2.3.2.cmml">i</mi><mo id="S2.E1.m1.3.3.1.1.1.1.3.1.2.3.1" xref="S2.E1.m1.3.3.1.1.1.1.3.1.2.3.1.cmml">=</mo><mn id="S2.E1.m1.3.3.1.1.1.1.3.1.2.3.3" xref="S2.E1.m1.3.3.1.1.1.1.3.1.2.3.3.cmml">1</mn></mrow><mi id="S2.E1.m1.3.3.1.1.1.1.3.1.3" xref="S2.E1.m1.3.3.1.1.1.1.3.1.3.cmml">K</mi></munderover><mrow id="S2.E1.m1.3.3.1.1.1.1.3.2" xref="S2.E1.m1.3.3.1.1.1.1.3.2.cmml"><msub id="S2.E1.m1.3.3.1.1.1.1.3.2.2" xref="S2.E1.m1.3.3.1.1.1.1.3.2.2.cmml"><mi id="S2.E1.m1.3.3.1.1.1.1.3.2.2.2" xref="S2.E1.m1.3.3.1.1.1.1.3.2.2.2.cmml">T</mi><mi id="S2.E1.m1.3.3.1.1.1.1.3.2.2.3" xref="S2.E1.m1.3.3.1.1.1.1.3.2.2.3.cmml">i</mi></msub><mo id="S2.E1.m1.3.3.1.1.1.1.3.2.1" xref="S2.E1.m1.3.3.1.1.1.1.3.2.1.cmml">⁢</mo><msub id="S2.E1.m1.3.3.1.1.1.1.3.2.3" xref="S2.E1.m1.3.3.1.1.1.1.3.2.3.cmml"><mi id="S2.E1.m1.3.3.1.1.1.1.3.2.3.2" xref="S2.E1.m1.3.3.1.1.1.1.3.2.3.2.cmml">α</mi><mi id="S2.E1.m1.3.3.1.1.1.1.3.2.3.3" xref="S2.E1.m1.3.3.1.1.1.1.3.2.3.3.cmml">i</mi></msub><mo id="S2.E1.m1.3.3.1.1.1.1.3.2.1a" xref="S2.E1.m1.3.3.1.1.1.1.3.2.1.cmml">⁢</mo><msub id="S2.E1.m1.3.3.1.1.1.1.3.2.4" xref="S2.E1.m1.3.3.1.1.1.1.3.2.4.cmml"><mi id="S2.E1.m1.3.3.1.1.1.1.3.2.4.2" xref="S2.E1.m1.3.3.1.1.1.1.3.2.4.2.cmml">c</mi><mi id="S2.E1.m1.3.3.1.1.1.1.3.2.4.3" xref="S2.E1.m1.3.3.1.1.1.1.3.2.4.3.cmml">i</mi></msub></mrow></mrow></mrow><mo id="S2.E1.m1.3.3.1.1.2.3" rspace="2.167em" xref="S2.E1.m1.3.3.1.1.3a.cmml">,</mo><mrow id="S2.E1.m1.3.3.1.1.2.2.2" xref="S2.E1.m1.3.3.1.1.2.2.3.cmml"><mrow id="S2.E1.m1.3.3.1.1.2.2.1.1" xref="S2.E1.m1.3.3.1.1.2.2.1.1.cmml"><msub id="S2.E1.m1.3.3.1.1.2.2.1.1.3" xref="S2.E1.m1.3.3.1.1.2.2.1.1.3.cmml"><mi id="S2.E1.m1.3.3.1.1.2.2.1.1.3.2" xref="S2.E1.m1.3.3.1.1.2.2.1.1.3.2.cmml">T</mi><mi id="S2.E1.m1.3.3.1.1.2.2.1.1.3.3" xref="S2.E1.m1.3.3.1.1.2.2.1.1.3.3.cmml">i</mi></msub><mo id="S2.E1.m1.3.3.1.1.2.2.1.1.2" rspace="0.111em" xref="S2.E1.m1.3.3.1.1.2.2.1.1.2.cmml">=</mo><mrow id="S2.E1.m1.3.3.1.1.2.2.1.1.1" xref="S2.E1.m1.3.3.1.1.2.2.1.1.1.cmml"><munderover id="S2.E1.m1.3.3.1.1.2.2.1.1.1.2" xref="S2.E1.m1.3.3.1.1.2.2.1.1.1.2.cmml"><mo id="S2.E1.m1.3.3.1.1.2.2.1.1.1.2.2.2" movablelimits="false" rspace="0em" xref="S2.E1.m1.3.3.1.1.2.2.1.1.1.2.2.2.cmml">∏</mo><mrow id="S2.E1.m1.3.3.1.1.2.2.1.1.1.2.2.3" xref="S2.E1.m1.3.3.1.1.2.2.1.1.1.2.2.3.cmml"><mi id="S2.E1.m1.3.3.1.1.2.2.1.1.1.2.2.3.2" xref="S2.E1.m1.3.3.1.1.2.2.1.1.1.2.2.3.2.cmml">j</mi><mo id="S2.E1.m1.3.3.1.1.2.2.1.1.1.2.2.3.1" xref="S2.E1.m1.3.3.1.1.2.2.1.1.1.2.2.3.1.cmml">=</mo><mn id="S2.E1.m1.3.3.1.1.2.2.1.1.1.2.2.3.3" xref="S2.E1.m1.3.3.1.1.2.2.1.1.1.2.2.3.3.cmml">1</mn></mrow><mrow id="S2.E1.m1.3.3.1.1.2.2.1.1.1.2.3" xref="S2.E1.m1.3.3.1.1.2.2.1.1.1.2.3.cmml"><mi id="S2.E1.m1.3.3.1.1.2.2.1.1.1.2.3.2" xref="S2.E1.m1.3.3.1.1.2.2.1.1.1.2.3.2.cmml">i</mi><mo id="S2.E1.m1.3.3.1.1.2.2.1.1.1.2.3.1" 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xref="S2.E1.m1.3.3.1.1.2.2.2.2.1.1.1.1.1.2.3">𝑖</ci></apply><apply id="S2.E1.m1.3.3.1.1.2.2.2.2.1.1.1.1.1.3.cmml" xref="S2.E1.m1.3.3.1.1.2.2.2.2.1.1.1.1.1.3"><csymbol cd="ambiguous" id="S2.E1.m1.3.3.1.1.2.2.2.2.1.1.1.1.1.3.1.cmml" xref="S2.E1.m1.3.3.1.1.2.2.2.2.1.1.1.1.1.3">subscript</csymbol><ci id="S2.E1.m1.3.3.1.1.2.2.2.2.1.1.1.1.1.3.2.cmml" xref="S2.E1.m1.3.3.1.1.2.2.2.2.1.1.1.1.1.3.2">𝛿</ci><ci id="S2.E1.m1.3.3.1.1.2.2.2.2.1.1.1.1.1.3.3.cmml" xref="S2.E1.m1.3.3.1.1.2.2.2.2.1.1.1.1.1.3.3">𝑖</ci></apply></apply></apply></apply></apply></apply></apply></annotation-xml><annotation encoding="application/x-tex" id="S2.E1.m1.3c">\hat{{C}}(\mathbf{r})=\sum_{i=1}^{K}T_{i}\alpha_{i}c_{i},\qquad T_{i}=\prod_{j% =1}^{i-1}(1-\alpha_{j}),\qquad\alpha_{i}=1-\exp(\sigma_{i}\delta_{i}),</annotation><annotation encoding="application/x-llamapun" id="S2.E1.m1.3d">over^ start_ARG italic_C end_ARG ( bold_r ) = ∑ start_POSTSUBSCRIPT italic_i = 1 end_POSTSUBSCRIPT start_POSTSUPERSCRIPT italic_K end_POSTSUPERSCRIPT italic_T start_POSTSUBSCRIPT italic_i end_POSTSUBSCRIPT italic_α start_POSTSUBSCRIPT italic_i end_POSTSUBSCRIPT italic_c start_POSTSUBSCRIPT italic_i end_POSTSUBSCRIPT , italic_T start_POSTSUBSCRIPT italic_i end_POSTSUBSCRIPT = ∏ start_POSTSUBSCRIPT italic_j = 1 end_POSTSUBSCRIPT start_POSTSUPERSCRIPT italic_i - 1 end_POSTSUPERSCRIPT ( 1 - italic_α start_POSTSUBSCRIPT italic_j end_POSTSUBSCRIPT ) , italic_α start_POSTSUBSCRIPT italic_i end_POSTSUBSCRIPT = 1 - roman_exp ( italic_σ start_POSTSUBSCRIPT italic_i end_POSTSUBSCRIPT italic_δ start_POSTSUBSCRIPT italic_i end_POSTSUBSCRIPT ) ,</annotation></semantics></math></td> <td class="ltx_eqn_cell ltx_eqn_center_padright"></td> <td class="ltx_eqn_cell ltx_eqn_eqno ltx_align_middle ltx_align_right" rowspan="1">(1)</td> </tr></tbody> </table> </div> <div class="ltx_para" id="S2.SS1.p3"> where <math alttext="\alpha_{i}" class="ltx_Math" display="inline" id="S2.SS1.p3.1.m1.1"><semantics id="S2.SS1.p3.1.m1.1a"><msub id="S2.SS1.p3.1.m1.1.1" xref="S2.SS1.p3.1.m1.1.1.cmml"><mi id="S2.SS1.p3.1.m1.1.1.2" xref="S2.SS1.p3.1.m1.1.1.2.cmml">α</mi><mi id="S2.SS1.p3.1.m1.1.1.3" xref="S2.SS1.p3.1.m1.1.1.3.cmml">i</mi></msub><annotation-xml encoding="MathML-Content" id="S2.SS1.p3.1.m1.1b"><apply id="S2.SS1.p3.1.m1.1.1.cmml" xref="S2.SS1.p3.1.m1.1.1"><csymbol cd="ambiguous" id="S2.SS1.p3.1.m1.1.1.1.cmml" xref="S2.SS1.p3.1.m1.1.1">subscript</csymbol><ci id="S2.SS1.p3.1.m1.1.1.2.cmml" xref="S2.SS1.p3.1.m1.1.1.2">𝛼</ci><ci id="S2.SS1.p3.1.m1.1.1.3.cmml" xref="S2.SS1.p3.1.m1.1.1.3">𝑖</ci></apply></annotation-xml><annotation encoding="application/x-tex" id="S2.SS1.p3.1.m1.1c">\alpha_{i}</annotation><annotation encoding="application/x-llamapun" id="S2.SS1.p3.1.m1.1d">italic_α start_POSTSUBSCRIPT italic_i end_POSTSUBSCRIPT</annotation></semantics></math> is the probability of termination at point <math alttext="i" class="ltx_Math" display="inline" id="S2.SS1.p3.2.m2.1"><semantics id="S2.SS1.p3.2.m2.1a"><mi id="S2.SS1.p3.2.m2.1.1" xref="S2.SS1.p3.2.m2.1.1.cmml">i</mi><annotation-xml encoding="MathML-Content" id="S2.SS1.p3.2.m2.1b"><ci id="S2.SS1.p3.2.m2.1.1.cmml" xref="S2.SS1.p3.2.m2.1.1">𝑖</ci></annotation-xml><annotation encoding="application/x-tex" id="S2.SS1.p3.2.m2.1c">i</annotation><annotation encoding="application/x-llamapun" id="S2.SS1.p3.2.m2.1d">italic_i</annotation></semantics></math> and <math alttext="T_{i}" class="ltx_Math" display="inline" id="S2.SS1.p3.3.m3.1"><semantics id="S2.SS1.p3.3.m3.1a"><msub id="S2.SS1.p3.3.m3.1.1" xref="S2.SS1.p3.3.m3.1.1.cmml"><mi id="S2.SS1.p3.3.m3.1.1.2" xref="S2.SS1.p3.3.m3.1.1.2.cmml">T</mi><mi id="S2.SS1.p3.3.m3.1.1.3" xref="S2.SS1.p3.3.m3.1.1.3.cmml">i</mi></msub><annotation-xml encoding="MathML-Content" id="S2.SS1.p3.3.m3.1b"><apply id="S2.SS1.p3.3.m3.1.1.cmml" xref="S2.SS1.p3.3.m3.1.1"><csymbol cd="ambiguous" id="S2.SS1.p3.3.m3.1.1.1.cmml" xref="S2.SS1.p3.3.m3.1.1">subscript</csymbol><ci id="S2.SS1.p3.3.m3.1.1.2.cmml" xref="S2.SS1.p3.3.m3.1.1.2">𝑇</ci><ci id="S2.SS1.p3.3.m3.1.1.3.cmml" xref="S2.SS1.p3.3.m3.1.1.3">𝑖</ci></apply></annotation-xml><annotation encoding="application/x-tex" id="S2.SS1.p3.3.m3.1c">T_{i}</annotation><annotation encoding="application/x-llamapun" id="S2.SS1.p3.3.m3.1d">italic_T start_POSTSUBSCRIPT italic_i end_POSTSUBSCRIPT</annotation></semantics></math> is the accumulated transmittance from the near plane to point <math alttext="i" class="ltx_Math" display="inline" id="S2.SS1.p3.4.m4.1"><semantics id="S2.SS1.p3.4.m4.1a"><mi id="S2.SS1.p3.4.m4.1.1" xref="S2.SS1.p3.4.m4.1.1.cmml">i</mi><annotation-xml encoding="MathML-Content" id="S2.SS1.p3.4.m4.1b"><ci id="S2.SS1.p3.4.m4.1.1.cmml" xref="S2.SS1.p3.4.m4.1.1">𝑖</ci></annotation-xml><annotation encoding="application/x-tex" id="S2.SS1.p3.4.m4.1c">i</annotation><annotation encoding="application/x-llamapun" id="S2.SS1.p3.4.m4.1d">italic_i</annotation></semantics></math>. NeRFs are trained by minimizing a photometric loss, which is an L2 loss between the rendered and the ground truth pixels. In more detail, given a batch <math alttext="B" class="ltx_Math" display="inline" id="S2.SS1.p3.5.m5.1"><semantics id="S2.SS1.p3.5.m5.1a"><mi id="S2.SS1.p3.5.m5.1.1" xref="S2.SS1.p3.5.m5.1.1.cmml">B</mi><annotation-xml encoding="MathML-Content" id="S2.SS1.p3.5.m5.1b"><ci id="S2.SS1.p3.5.m5.1.1.cmml" xref="S2.SS1.p3.5.m5.1.1">𝐵</ci></annotation-xml><annotation encoding="application/x-tex" id="S2.SS1.p3.5.m5.1c">B</annotation><annotation encoding="application/x-llamapun" id="S2.SS1.p3.5.m5.1d">italic_B</annotation></semantics></math> of randomly sampled rays, the loss is defined as </div> <div class="ltx_para" id="S2.SS1.p4"> <table class="ltx_equation ltx_eqn_table" id="S2.E2"> <tbody><tr class="ltx_equation ltx_eqn_row ltx_align_baseline"> <td class="ltx_eqn_cell ltx_eqn_center_padleft"></td> <td class="ltx_eqn_cell ltx_align_center"><math alttext="L_{\text{nerf}}=\frac{1}{|B|}\sum_{r\in B}\left\|\hat{C}(\mathbf{r})-C(\mathbf% {r})\right\|^{2}_{2}," class="ltx_Math" display="block" 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start_POSTSUBSCRIPT italic_r ∈ italic_B end_POSTSUBSCRIPT ∥ over^ start_ARG italic_C end_ARG ( bold_r ) - italic_C ( bold_r ) ∥ start_POSTSUPERSCRIPT 2 end_POSTSUPERSCRIPT start_POSTSUBSCRIPT 2 end_POSTSUBSCRIPT ,</annotation></semantics></math></td> <td class="ltx_eqn_cell ltx_eqn_center_padright"></td> <td class="ltx_eqn_cell ltx_eqn_eqno ltx_align_middle ltx_align_right" rowspan="1">(2)</td> </tr></tbody> </table> </div> <div class="ltx_para" id="S2.SS1.p5"> where <math alttext="\hat{C}(\mathbf{r})" class="ltx_Math" display="inline" id="S2.SS1.p5.1.m1.1"><semantics id="S2.SS1.p5.1.m1.1a"><mrow id="S2.SS1.p5.1.m1.1.2" xref="S2.SS1.p5.1.m1.1.2.cmml"><mover accent="true" id="S2.SS1.p5.1.m1.1.2.2" xref="S2.SS1.p5.1.m1.1.2.2.cmml"><mi id="S2.SS1.p5.1.m1.1.2.2.2" xref="S2.SS1.p5.1.m1.1.2.2.2.cmml">C</mi><mo id="S2.SS1.p5.1.m1.1.2.2.1" xref="S2.SS1.p5.1.m1.1.2.2.1.cmml">^</mo></mover><mo id="S2.SS1.p5.1.m1.1.2.1" xref="S2.SS1.p5.1.m1.1.2.1.cmml">⁢</mo><mrow id="S2.SS1.p5.1.m1.1.2.3.2" xref="S2.SS1.p5.1.m1.1.2.cmml"><mo id="S2.SS1.p5.1.m1.1.2.3.2.1" stretchy="false" xref="S2.SS1.p5.1.m1.1.2.cmml">(</mo><mi id="S2.SS1.p5.1.m1.1.1" xref="S2.SS1.p5.1.m1.1.1.cmml">𝐫</mi><mo id="S2.SS1.p5.1.m1.1.2.3.2.2" stretchy="false" xref="S2.SS1.p5.1.m1.1.2.cmml">)</mo></mrow></mrow><annotation-xml encoding="MathML-Content" id="S2.SS1.p5.1.m1.1b"><apply id="S2.SS1.p5.1.m1.1.2.cmml" xref="S2.SS1.p5.1.m1.1.2"><times id="S2.SS1.p5.1.m1.1.2.1.cmml" xref="S2.SS1.p5.1.m1.1.2.1"></times><apply id="S2.SS1.p5.1.m1.1.2.2.cmml" xref="S2.SS1.p5.1.m1.1.2.2"><ci id="S2.SS1.p5.1.m1.1.2.2.1.cmml" xref="S2.SS1.p5.1.m1.1.2.2.1">^</ci><ci id="S2.SS1.p5.1.m1.1.2.2.2.cmml" xref="S2.SS1.p5.1.m1.1.2.2.2">𝐶</ci></apply><ci id="S2.SS1.p5.1.m1.1.1.cmml" xref="S2.SS1.p5.1.m1.1.1">𝐫</ci></apply></annotation-xml><annotation encoding="application/x-tex" id="S2.SS1.p5.1.m1.1c">\hat{C}(\mathbf{r})</annotation><annotation encoding="application/x-llamapun" id="S2.SS1.p5.1.m1.1d">over^ start_ARG italic_C end_ARG ( bold_r )</annotation></semantics></math> is the predicted color and <math alttext="C(\mathbf{r})" class="ltx_Math" display="inline" id="S2.SS1.p5.2.m2.1"><semantics id="S2.SS1.p5.2.m2.1a"><mrow id="S2.SS1.p5.2.m2.1.2" xref="S2.SS1.p5.2.m2.1.2.cmml"><mi id="S2.SS1.p5.2.m2.1.2.2" xref="S2.SS1.p5.2.m2.1.2.2.cmml">C</mi><mo id="S2.SS1.p5.2.m2.1.2.1" xref="S2.SS1.p5.2.m2.1.2.1.cmml">⁢</mo><mrow id="S2.SS1.p5.2.m2.1.2.3.2" xref="S2.SS1.p5.2.m2.1.2.cmml"><mo id="S2.SS1.p5.2.m2.1.2.3.2.1" stretchy="false" xref="S2.SS1.p5.2.m2.1.2.cmml">(</mo><mi id="S2.SS1.p5.2.m2.1.1" xref="S2.SS1.p5.2.m2.1.1.cmml">𝐫</mi><mo id="S2.SS1.p5.2.m2.1.2.3.2.2" stretchy="false" xref="S2.SS1.p5.2.m2.1.2.cmml">)</mo></mrow></mrow><annotation-xml encoding="MathML-Content" id="S2.SS1.p5.2.m2.1b"><apply id="S2.SS1.p5.2.m2.1.2.cmml" xref="S2.SS1.p5.2.m2.1.2"><times id="S2.SS1.p5.2.m2.1.2.1.cmml" xref="S2.SS1.p5.2.m2.1.2.1"></times><ci id="S2.SS1.p5.2.m2.1.2.2.cmml" xref="S2.SS1.p5.2.m2.1.2.2">𝐶</ci><ci id="S2.SS1.p5.2.m2.1.1.cmml" xref="S2.SS1.p5.2.m2.1.1">𝐫</ci></apply></annotation-xml><annotation encoding="application/x-tex" id="S2.SS1.p5.2.m2.1c">C(\mathbf{r})</annotation><annotation encoding="application/x-llamapun" id="S2.SS1.p5.2.m2.1d">italic_C ( bold_r )</annotation></semantics></math> the ground truth color for the ray <math alttext="\mathbf{r}" class="ltx_Math" display="inline" id="S2.SS1.p5.3.m3.1"><semantics id="S2.SS1.p5.3.m3.1a"><mi id="S2.SS1.p5.3.m3.1.1" xref="S2.SS1.p5.3.m3.1.1.cmml">𝐫</mi><annotation-xml encoding="MathML-Content" id="S2.SS1.p5.3.m3.1b"><ci id="S2.SS1.p5.3.m3.1.1.cmml" xref="S2.SS1.p5.3.m3.1.1">𝐫</ci></annotation-xml><annotation encoding="application/x-tex" id="S2.SS1.p5.3.m3.1c">\mathbf{r}</annotation><annotation encoding="application/x-llamapun" id="S2.SS1.p5.3.m3.1d">bold_r</annotation></semantics></math>. </div> </section> <section class="ltx_subsection" id="S2.SS2"> <h3 class="ltx_title ltx_title_subsection"> 2.2 Fast Neural Radiance Fields</h3> <div class="ltx_para" id="S2.SS2.p1"> Since the introduction of NeRF, significant effort has been directed towards the development of faster models. Several studies focus on speeding up rendering times, for example by working on ray sampling efficiency <cite class="ltx_cite ltx_citemacro_cite">[<a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#bib.bib4" title="">4</a>, <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#bib.bib7" title="">7</a>, <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#bib.bib13" title="">13</a>, <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#bib.bib38" title="">38</a>]</cite>, by integrating explicit volumetric representations <cite class="ltx_cite ltx_citemacro_cite">[<a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#bib.bib12" title="">12</a>, <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#bib.bib16" title="">16</a>, <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#bib.bib32" title="">32</a>, <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#bib.bib34" title="">34</a>, <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#bib.bib33" title="">33</a>, <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#bib.bib12" title="">12</a>, <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#bib.bib6" title="">6</a>]</cite> or by utilizing thousands of tiny MLPs <cite class="ltx_cite ltx_citemacro_cite">[<a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#bib.bib27" title="">27</a>]</cite>. However, all these methods still require large training times. One noteworthy development is represented by the introduction of explicit volumetric representations in the training pipeline, directly optimizing such representations <cite class="ltx_cite ltx_citemacro_cite">[<a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#bib.bib11" title="">11</a>, <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#bib.bib30" title="">30</a>, <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#bib.bib5" title="">5</a>, <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#bib.bib26" title="">26</a>, <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#bib.bib10" title="">10</a>, <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#bib.bib14" title="">14</a>, <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#bib.bib17" title="">17</a>]</cite>. These models enable fast training and inference, with render quality only slightly inferior to full-implicit models <cite class="ltx_cite ltx_citemacro_cite">[<a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#bib.bib1" title="">1</a>, <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#bib.bib3" title="">3</a>]</cite>. We refer to these as Fast-NeRFs. Plenoxels <cite class="ltx_cite ltx_citemacro_cite">[<a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#bib.bib11" title="">11</a>]</cite> is the first important work in this context, as it represents a scene as a sparse 3D grid where each voxel stores spherical harmonic coefficients and density. Spherical harmonics serve as an orthogonal basis for functions defined over the sphere and thus can be used for computing view-dependent color emission, without the need for a multi-layer perceptron. Additionally, Plenoxels demonstrated the advantages of linearly interpolating voxels, facilitating the learning of a continuous plenoptic function throughout the volume, akin to NeRF, albeit with discrete data. Another notable work is DVGO <cite class="ltx_cite ltx_citemacro_cite">[<a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#bib.bib30" title="">30</a>]</cite>. Each scene is there represented as two dense voxel grids (one for density and one for feature colors) alongside a MLP, for learning view-dependent color. Similar to Plenoxels, the value of each voxel is linearly interpolated with the 8 nearest voxels, but after applying the activation functions. DVGO also incorporates a preliminary coarse geometry stage to learn the scene’s general structure, facilitating adjustments to the bounding box and enabling a more intelligent ray sampling strategy. Despite utilizing lower-resolution models, DVGO achieves high reconstruction quality. The major drawback of these models is their substantial memory storage requirements. TensoRF <cite class="ltx_cite ltx_citemacro_cite">[<a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#bib.bib5" title="">5</a>]</cite> addresses this challenge by replacing the dense voxel grid with a planes and vectors decomposition, significantly reducing storage demands while maintaining comparable performance and rendering quality. Alternatively, Instant-NGP <cite class="ltx_cite ltx_citemacro_cite">[<a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#bib.bib26" title="">26</a>]</cite> proposed a multi-resolution voxel grid encoded via a hash function. They define <math alttext="L" class="ltx_Math" display="inline" id="S2.SS2.p1.1.m1.1"><semantics id="S2.SS2.p1.1.m1.1a"><mi id="S2.SS2.p1.1.m1.1.1" xref="S2.SS2.p1.1.m1.1.1.cmml">L</mi><annotation-xml encoding="MathML-Content" id="S2.SS2.p1.1.m1.1b"><ci id="S2.SS2.p1.1.m1.1.1.cmml" xref="S2.SS2.p1.1.m1.1.1">𝐿</ci></annotation-xml><annotation encoding="application/x-tex" id="S2.SS2.p1.1.m1.1c">L</annotation><annotation encoding="application/x-llamapun" id="S2.SS2.p1.1.m1.1d">italic_L</annotation></semantics></math> hash grids of increased resolutions: each entry of each hash grid has <math alttext="2^{T}" class="ltx_Math" display="inline" id="S2.SS2.p1.2.m2.1"><semantics id="S2.SS2.p1.2.m2.1a"><msup id="S2.SS2.p1.2.m2.1.1" xref="S2.SS2.p1.2.m2.1.1.cmml"><mn id="S2.SS2.p1.2.m2.1.1.2" xref="S2.SS2.p1.2.m2.1.1.2.cmml">2</mn><mi id="S2.SS2.p1.2.m2.1.1.3" xref="S2.SS2.p1.2.m2.1.1.3.cmml">T</mi></msup><annotation-xml encoding="MathML-Content" id="S2.SS2.p1.2.m2.1b"><apply id="S2.SS2.p1.2.m2.1.1.cmml" xref="S2.SS2.p1.2.m2.1.1"><csymbol cd="ambiguous" id="S2.SS2.p1.2.m2.1.1.1.cmml" xref="S2.SS2.p1.2.m2.1.1">superscript</csymbol><cn id="S2.SS2.p1.2.m2.1.1.2.cmml" type="integer" xref="S2.SS2.p1.2.m2.1.1.2">2</cn><ci id="S2.SS2.p1.2.m2.1.1.3.cmml" xref="S2.SS2.p1.2.m2.1.1.3">𝑇</ci></apply></annotation-xml><annotation encoding="application/x-tex" id="S2.SS2.p1.2.m2.1c">2^{T}</annotation><annotation encoding="application/x-llamapun" id="S2.SS2.p1.2.m2.1d">2 start_POSTSUPERSCRIPT italic_T end_POSTSUPERSCRIPT</annotation></semantics></math> parameters and <math alttext="F" class="ltx_Math" display="inline" id="S2.SS2.p1.3.m3.1"><semantics id="S2.SS2.p1.3.m3.1a"><mi id="S2.SS2.p1.3.m3.1.1" xref="S2.SS2.p1.3.m3.1.1.cmml">F</mi><annotation-xml encoding="MathML-Content" id="S2.SS2.p1.3.m3.1b"><ci id="S2.SS2.p1.3.m3.1.1.cmml" xref="S2.SS2.p1.3.m3.1.1">𝐹</ci></annotation-xml><annotation encoding="application/x-tex" id="S2.SS2.p1.3.m3.1c">F</annotation><annotation encoding="application/x-llamapun" id="S2.SS2.p1.3.m3.1d">italic_F</annotation></semantics></math> features. This enables even faster training times and real-time rendering performances while maintaining a compact model; moreover, it demonstrates the efficacy of a multi-resolution approach in enhancing render quality. Inspired by this methodology, K-Planes <cite class="ltx_cite ltx_citemacro_cite">[<a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#bib.bib10" title="">10</a>]</cite> introduces a multi-resolution planar factorization of 3D space, offering reconstruction quality and model compactness similar to the previous methods, but with slightly larger training times. A similar multi-resolution planar factorization has also been proposed in Tri-MipRF <cite class="ltx_cite ltx_citemacro_cite">[<a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#bib.bib14" title="">14</a>]</cite> for mitigating the aliasing in distant or low-resolution views and blurriness in close-up shots. Given their properties, we decided to evaluate our paradigm using three different models: a 3D dense voxel grid-based model (DVGO), a decomposed grid-based model (TensoRF), and a multi-resolution hash grid-based model (Instant-NGP). </div> </section> <section class="ltx_subsection" id="S2.SS3"> <h3 class="ltx_title ltx_title_subsection"> 2.3 Mixture of Experts and Sparse MoE</h3> <div class="ltx_para" id="S2.SS3.p1"> The Mixture of Experts (MoE) paradigm <cite class="ltx_cite ltx_citemacro_cite">[<a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#bib.bib15" title="">15</a>]</cite> has gained prominence in various machine learning applications. MoE consists of multiple expert networks, each specializing in different regions of the input space, with a meta-network determining the contribution of each expert to the final prediction. Building upon the MoE framework, Sparse Mixture of Experts <cite class="ltx_cite ltx_citemacro_cite">[<a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#bib.bib29" title="">29</a>, <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#bib.bib20" title="">20</a>, <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#bib.bib28" title="">28</a>, <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#bib.bib37" title="">37</a>]</cite> constitutes a scalable and efficient variant. At the core of all Sparse MoE algorithms lies an assignment problem between tokens and experts. One approach to tackle this is by approximating the solution with a gating function, which learns to assign input tokens to the most suitable experts. 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To balance the assignment across all the experts, auxiliary loss functions penalizing unevenly distributed routing are often employed. This sparsity-inducing technique significantly reduces computational overhead while preserving the expressive power of the MoE architecture. </div> </section> <section class="ltx_subsection" id="S2.SS4"> <h3 class="ltx_title ltx_title_subsection"> 2.4 MoE and NeRF</h3> <div class="ltx_para" id="S2.SS4.p1"> Combining the sparse mixture of experts’ paradigms with neural radiance fields presents a non-trivial challenge. In recent research, Switch-NeRF <cite class="ltx_cite ltx_citemacro_cite">[<a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#bib.bib36" title="">36</a>]</cite> has been introduced as a novel end-to-end large-scale NeRF with learning-based scene decomposition. Inspired by Fedus et al. <cite class="ltx_cite ltx_citemacro_cite">[<a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#bib.bib9" title="">9</a>]</cite>, they propose a full-implicit model with an MLP-based gate comprising 4 layers with 128 neurons and a Top-<math alttext="1" class="ltx_Math" display="inline" id="S2.SS4.p1.1.m1.1"><semantics id="S2.SS4.p1.1.m1.1a"><mn id="S2.SS4.p1.1.m1.1.1" xref="S2.SS4.p1.1.m1.1.1.cmml">1</mn><annotation-xml encoding="MathML-Content" id="S2.SS4.p1.1.m1.1b"><cn id="S2.SS4.p1.1.m1.1.1.cmml" type="integer" xref="S2.SS4.p1.1.m1.1.1">1</cn></annotation-xml><annotation encoding="application/x-tex" id="S2.SS4.p1.1.m1.1c">1</annotation><annotation encoding="application/x-llamapun" id="S2.SS4.p1.1.m1.1d">1</annotation></semantics></math> function. However, their architecture is ad-hoc, and suffers from extensive training times. This poses a challenge for us, as we aim to consider each expert as a black box, taking a point in space and a direction as input and outputting radiance and density values. Moreover, as the mixture comprises experts at different resolutions, we also aim to prioritize routing input tokens toward lower-resolution models and minimize the usage of high-resolution models. </div> <div class="ltx_para" id="S2.SS4.p2"> Our work intends to overcome these limitations. We design a novel gate formulation inspired by Fast-NeRFs, that guarantees fast convergence and better performances. We position the gate at the beginning of our MoE pipeline and postpone the multiplication of the gate output with expert predictions as much as possible. This allows our framework to be entirely model-agnostic. Furthermore, our mixture of experts maintains competitive training times, enabling, in the worst case, training models on complex scenes in approximately 1 hour while achieving state-of-the-art accuracy. </div> </section> </section> <section class="ltx_section" id="S3"> <h2 class="ltx_title ltx_title_section"> 3 Method</h2> <div class="ltx_para" id="S3.p1"> In this section, we introduce our model-agnostic ensembling approach. We present in Sec. <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S3.SS1" title="3.1 Overview ‣ 3 Method ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">3.1</a> an overview of our method. We also describe the ray sampling and filtering mechanism in Sec. <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S3.SS2" title="3.2 Ray Sampling and Filtering ‣ 3 Method ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">3.2</a>. Then, in Sec. <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S3.SS3" title="3.3 Trainable Gating Model ‣ 3 Method ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">3.3</a>, we discuss the effective construction of a mixture of experts with a gating mechanism in the context of NeRF. Finally, in Sec. <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S3.SS5" title="3.5 Resolution-based Routing ‣ 3 Method ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">3.5</a>, we present a novel formulation for decomposing the scene into resolution-based parts with an end-to-end training procedure. </div> <section class="ltx_subsection" id="S3.SS1"> <h3 class="ltx_title ltx_title_subsection"> 3.1 Overview</h3> <figure class="ltx_figure" id="S3.F2"><img alt="Refer to caption" class="ltx_graphics ltx_centering ltx_img_landscape" height="286" id="S3.F2.g1" src="x4.png" width="830"/> <figcaption class="ltx_caption ltx_centering">Figure 2: A density field is used to compute density values for sampled points along a ray. 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Top-<math alttext="K" class="ltx_Math" display="inline" id="S3.F2.6.2.m2.1"><semantics id="S3.F2.6.2.m2.1b"><mi id="S3.F2.6.2.m2.1.1" xref="S3.F2.6.2.m2.1.1.cmml">K</mi><annotation-xml encoding="MathML-Content" id="S3.F2.6.2.m2.1c"><ci id="S3.F2.6.2.m2.1.1.cmml" xref="S3.F2.6.2.m2.1.1">𝐾</ci></annotation-xml><annotation encoding="application/x-tex" id="S3.F2.6.2.m2.1d">K</annotation><annotation encoding="application/x-llamapun" id="S3.F2.6.2.m2.1e">italic_K</annotation></semantics></math> experts compute radiance and density, aggregating and weighting these values by the corresponding gating probability to get the final values <math alttext="\mathbf{c}_{f}" class="ltx_Math" display="inline" id="S3.F2.7.3.m3.1"><semantics id="S3.F2.7.3.m3.1b"><msub id="S3.F2.7.3.m3.1.1" xref="S3.F2.7.3.m3.1.1.cmml"><mi id="S3.F2.7.3.m3.1.1.2" xref="S3.F2.7.3.m3.1.1.2.cmml">𝐜</mi><mi id="S3.F2.7.3.m3.1.1.3" xref="S3.F2.7.3.m3.1.1.3.cmml">f</mi></msub><annotation-xml encoding="MathML-Content" id="S3.F2.7.3.m3.1c"><apply id="S3.F2.7.3.m3.1.1.cmml" xref="S3.F2.7.3.m3.1.1"><csymbol cd="ambiguous" id="S3.F2.7.3.m3.1.1.1.cmml" xref="S3.F2.7.3.m3.1.1">subscript</csymbol><ci id="S3.F2.7.3.m3.1.1.2.cmml" xref="S3.F2.7.3.m3.1.1.2">𝐜</ci><ci id="S3.F2.7.3.m3.1.1.3.cmml" xref="S3.F2.7.3.m3.1.1.3">𝑓</ci></apply></annotation-xml><annotation encoding="application/x-tex" id="S3.F2.7.3.m3.1d">\mathbf{c}_{f}</annotation><annotation encoding="application/x-llamapun" id="S3.F2.7.3.m3.1e">bold_c start_POSTSUBSCRIPT italic_f end_POSTSUBSCRIPT</annotation></semantics></math> and <math alttext="\sigma_{f}" class="ltx_Math" display="inline" id="S3.F2.8.4.m4.1"><semantics id="S3.F2.8.4.m4.1b"><msub id="S3.F2.8.4.m4.1.1" xref="S3.F2.8.4.m4.1.1.cmml"><mi id="S3.F2.8.4.m4.1.1.2" xref="S3.F2.8.4.m4.1.1.2.cmml">σ</mi><mi id="S3.F2.8.4.m4.1.1.3" xref="S3.F2.8.4.m4.1.1.3.cmml">f</mi></msub><annotation-xml encoding="MathML-Content" id="S3.F2.8.4.m4.1c"><apply id="S3.F2.8.4.m4.1.1.cmml" xref="S3.F2.8.4.m4.1.1"><csymbol cd="ambiguous" id="S3.F2.8.4.m4.1.1.1.cmml" xref="S3.F2.8.4.m4.1.1">subscript</csymbol><ci id="S3.F2.8.4.m4.1.1.2.cmml" xref="S3.F2.8.4.m4.1.1.2">𝜎</ci><ci id="S3.F2.8.4.m4.1.1.3.cmml" xref="S3.F2.8.4.m4.1.1.3">𝑓</ci></apply></annotation-xml><annotation encoding="application/x-tex" id="S3.F2.8.4.m4.1d">\sigma_{f}</annotation><annotation encoding="application/x-llamapun" id="S3.F2.8.4.m4.1e">italic_σ start_POSTSUBSCRIPT italic_f end_POSTSUBSCRIPT</annotation></semantics></math>. Volume rendering equation yields pixel colors, and joint optimization refines our resolution-weighted auxiliary loss, allowing for high-quality and efficient rendering.</figcaption> </figure> <div class="ltx_para" id="S3.SS1.p1"> Figure <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S3.F2" title="Figure 2 ‣ 3.1 Overview ‣ 3 Method ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">2</a> shows a high-level scheme of our method. After independently training a set of <math alttext="M" class="ltx_Math" display="inline" id="S3.SS1.p1.1.m1.1"><semantics id="S3.SS1.p1.1.m1.1a"><mi id="S3.SS1.p1.1.m1.1.1" xref="S3.SS1.p1.1.m1.1.1.cmml">M</mi><annotation-xml encoding="MathML-Content" id="S3.SS1.p1.1.m1.1b"><ci id="S3.SS1.p1.1.m1.1.1.cmml" xref="S3.SS1.p1.1.m1.1.1">𝑀</ci></annotation-xml><annotation encoding="application/x-tex" id="S3.SS1.p1.1.m1.1c">M</annotation><annotation encoding="application/x-llamapun" id="S3.SS1.p1.1.m1.1d">italic_M</annotation></semantics></math> NeRF models <math alttext="\{E_{i}\}_{i=1}^{M}" class="ltx_Math" display="inline" id="S3.SS1.p1.2.m2.1"><semantics id="S3.SS1.p1.2.m2.1a"><msubsup id="S3.SS1.p1.2.m2.1.1" xref="S3.SS1.p1.2.m2.1.1.cmml"><mrow id="S3.SS1.p1.2.m2.1.1.1.1.1" xref="S3.SS1.p1.2.m2.1.1.1.1.2.cmml"><mo id="S3.SS1.p1.2.m2.1.1.1.1.1.2" stretchy="false" xref="S3.SS1.p1.2.m2.1.1.1.1.2.cmml">{</mo><msub id="S3.SS1.p1.2.m2.1.1.1.1.1.1" xref="S3.SS1.p1.2.m2.1.1.1.1.1.1.cmml"><mi id="S3.SS1.p1.2.m2.1.1.1.1.1.1.2" xref="S3.SS1.p1.2.m2.1.1.1.1.1.1.2.cmml">E</mi><mi id="S3.SS1.p1.2.m2.1.1.1.1.1.1.3" xref="S3.SS1.p1.2.m2.1.1.1.1.1.1.3.cmml">i</mi></msub><mo id="S3.SS1.p1.2.m2.1.1.1.1.1.3" stretchy="false" xref="S3.SS1.p1.2.m2.1.1.1.1.2.cmml">}</mo></mrow><mrow id="S3.SS1.p1.2.m2.1.1.1.3" xref="S3.SS1.p1.2.m2.1.1.1.3.cmml"><mi id="S3.SS1.p1.2.m2.1.1.1.3.2" xref="S3.SS1.p1.2.m2.1.1.1.3.2.cmml">i</mi><mo id="S3.SS1.p1.2.m2.1.1.1.3.1" xref="S3.SS1.p1.2.m2.1.1.1.3.1.cmml">=</mo><mn id="S3.SS1.p1.2.m2.1.1.1.3.3" xref="S3.SS1.p1.2.m2.1.1.1.3.3.cmml">1</mn></mrow><mi id="S3.SS1.p1.2.m2.1.1.3" xref="S3.SS1.p1.2.m2.1.1.3.cmml">M</mi></msubsup><annotation-xml encoding="MathML-Content" id="S3.SS1.p1.2.m2.1b"><apply id="S3.SS1.p1.2.m2.1.1.cmml" xref="S3.SS1.p1.2.m2.1.1"><csymbol cd="ambiguous" id="S3.SS1.p1.2.m2.1.1.2.cmml" xref="S3.SS1.p1.2.m2.1.1">superscript</csymbol><apply id="S3.SS1.p1.2.m2.1.1.1.cmml" xref="S3.SS1.p1.2.m2.1.1"><csymbol cd="ambiguous" id="S3.SS1.p1.2.m2.1.1.1.2.cmml" xref="S3.SS1.p1.2.m2.1.1">subscript</csymbol><set id="S3.SS1.p1.2.m2.1.1.1.1.2.cmml" xref="S3.SS1.p1.2.m2.1.1.1.1.1"><apply id="S3.SS1.p1.2.m2.1.1.1.1.1.1.cmml" xref="S3.SS1.p1.2.m2.1.1.1.1.1.1"><csymbol cd="ambiguous" id="S3.SS1.p1.2.m2.1.1.1.1.1.1.1.cmml" xref="S3.SS1.p1.2.m2.1.1.1.1.1.1">subscript</csymbol><ci id="S3.SS1.p1.2.m2.1.1.1.1.1.1.2.cmml" xref="S3.SS1.p1.2.m2.1.1.1.1.1.1.2">𝐸</ci><ci id="S3.SS1.p1.2.m2.1.1.1.1.1.1.3.cmml" xref="S3.SS1.p1.2.m2.1.1.1.1.1.1.3">𝑖</ci></apply></set><apply id="S3.SS1.p1.2.m2.1.1.1.3.cmml" xref="S3.SS1.p1.2.m2.1.1.1.3"><eq id="S3.SS1.p1.2.m2.1.1.1.3.1.cmml" xref="S3.SS1.p1.2.m2.1.1.1.3.1"></eq><ci id="S3.SS1.p1.2.m2.1.1.1.3.2.cmml" xref="S3.SS1.p1.2.m2.1.1.1.3.2">𝑖</ci><cn id="S3.SS1.p1.2.m2.1.1.1.3.3.cmml" type="integer" xref="S3.SS1.p1.2.m2.1.1.1.3.3">1</cn></apply></apply><ci id="S3.SS1.p1.2.m2.1.1.3.cmml" xref="S3.SS1.p1.2.m2.1.1.3">𝑀</ci></apply></annotation-xml><annotation encoding="application/x-tex" id="S3.SS1.p1.2.m2.1c">\{E_{i}\}_{i=1}^{M}</annotation><annotation encoding="application/x-llamapun" id="S3.SS1.p1.2.m2.1d">{ italic_E start_POSTSUBSCRIPT italic_i end_POSTSUBSCRIPT } start_POSTSUBSCRIPT italic_i = 1 end_POSTSUBSCRIPT start_POSTSUPERSCRIPT italic_M end_POSTSUPERSCRIPT</annotation></semantics></math> at different resolutions, we sample <math alttext="N" class="ltx_Math" display="inline" id="S3.SS1.p1.3.m3.1"><semantics id="S3.SS1.p1.3.m3.1a"><mi id="S3.SS1.p1.3.m3.1.1" xref="S3.SS1.p1.3.m3.1.1.cmml">N</mi><annotation-xml encoding="MathML-Content" id="S3.SS1.p1.3.m3.1b"><ci id="S3.SS1.p1.3.m3.1.1.cmml" xref="S3.SS1.p1.3.m3.1.1">𝑁</ci></annotation-xml><annotation encoding="application/x-tex" id="S3.SS1.p1.3.m3.1c">N</annotation><annotation encoding="application/x-llamapun" id="S3.SS1.p1.3.m3.1d">italic_N</annotation></semantics></math> points along a ray <math alttext="\mathbf{r}" class="ltx_Math" display="inline" id="S3.SS1.p1.4.m4.1"><semantics id="S3.SS1.p1.4.m4.1a"><mi id="S3.SS1.p1.4.m4.1.1" xref="S3.SS1.p1.4.m4.1.1.cmml">𝐫</mi><annotation-xml encoding="MathML-Content" id="S3.SS1.p1.4.m4.1b"><ci id="S3.SS1.p1.4.m4.1.1.cmml" xref="S3.SS1.p1.4.m4.1.1">𝐫</ci></annotation-xml><annotation encoding="application/x-tex" id="S3.SS1.p1.4.m4.1c">\mathbf{r}</annotation><annotation encoding="application/x-llamapun" id="S3.SS1.p1.4.m4.1d">bold_r</annotation></semantics></math>. For each point <math alttext="\mathbf{x}_{p}" class="ltx_Math" display="inline" id="S3.SS1.p1.5.m5.1"><semantics id="S3.SS1.p1.5.m5.1a"><msub id="S3.SS1.p1.5.m5.1.1" xref="S3.SS1.p1.5.m5.1.1.cmml"><mi id="S3.SS1.p1.5.m5.1.1.2" xref="S3.SS1.p1.5.m5.1.1.2.cmml">𝐱</mi><mi id="S3.SS1.p1.5.m5.1.1.3" xref="S3.SS1.p1.5.m5.1.1.3.cmml">p</mi></msub><annotation-xml encoding="MathML-Content" id="S3.SS1.p1.5.m5.1b"><apply id="S3.SS1.p1.5.m5.1.1.cmml" xref="S3.SS1.p1.5.m5.1.1"><csymbol cd="ambiguous" id="S3.SS1.p1.5.m5.1.1.1.cmml" xref="S3.SS1.p1.5.m5.1.1">subscript</csymbol><ci id="S3.SS1.p1.5.m5.1.1.2.cmml" xref="S3.SS1.p1.5.m5.1.1.2">𝐱</ci><ci id="S3.SS1.p1.5.m5.1.1.3.cmml" xref="S3.SS1.p1.5.m5.1.1.3">𝑝</ci></apply></annotation-xml><annotation encoding="application/x-tex" id="S3.SS1.p1.5.m5.1c">\mathbf{x}_{p}</annotation><annotation encoding="application/x-llamapun" id="S3.SS1.p1.5.m5.1d">bold_x start_POSTSUBSCRIPT italic_p end_POSTSUBSCRIPT</annotation></semantics></math>, a density value <math alttext="\sigma" class="ltx_Math" display="inline" id="S3.SS1.p1.6.m6.1"><semantics id="S3.SS1.p1.6.m6.1a"><mi id="S3.SS1.p1.6.m6.1.1" xref="S3.SS1.p1.6.m6.1.1.cmml">σ</mi><annotation-xml encoding="MathML-Content" id="S3.SS1.p1.6.m6.1b"><ci id="S3.SS1.p1.6.m6.1.1.cmml" xref="S3.SS1.p1.6.m6.1.1">𝜎</ci></annotation-xml><annotation encoding="application/x-tex" id="S3.SS1.p1.6.m6.1c">\sigma</annotation><annotation encoding="application/x-llamapun" id="S3.SS1.p1.6.m6.1d">italic_σ</annotation></semantics></math> is calculated, and based on this, a filtering step is performed based on the density volume <math alttext="\mathbf{V}_{D}" class="ltx_Math" display="inline" id="S3.SS1.p1.7.m7.1"><semantics id="S3.SS1.p1.7.m7.1a"><msub id="S3.SS1.p1.7.m7.1.1" xref="S3.SS1.p1.7.m7.1.1.cmml"><mi id="S3.SS1.p1.7.m7.1.1.2" xref="S3.SS1.p1.7.m7.1.1.2.cmml">𝐕</mi><mi id="S3.SS1.p1.7.m7.1.1.3" xref="S3.SS1.p1.7.m7.1.1.3.cmml">D</mi></msub><annotation-xml encoding="MathML-Content" id="S3.SS1.p1.7.m7.1b"><apply id="S3.SS1.p1.7.m7.1.1.cmml" xref="S3.SS1.p1.7.m7.1.1"><csymbol cd="ambiguous" id="S3.SS1.p1.7.m7.1.1.1.cmml" xref="S3.SS1.p1.7.m7.1.1">subscript</csymbol><ci id="S3.SS1.p1.7.m7.1.1.2.cmml" xref="S3.SS1.p1.7.m7.1.1.2">𝐕</ci><ci id="S3.SS1.p1.7.m7.1.1.3.cmml" xref="S3.SS1.p1.7.m7.1.1.3">𝐷</ci></apply></annotation-xml><annotation encoding="application/x-tex" id="S3.SS1.p1.7.m7.1c">\mathbf{V}_{D}</annotation><annotation encoding="application/x-llamapun" id="S3.SS1.p1.7.m7.1d">bold_V start_POSTSUBSCRIPT italic_D end_POSTSUBSCRIPT</annotation></semantics></math>, discarding points in regions with a density below a certain threshold <math alttext="T" class="ltx_Math" display="inline" id="S3.SS1.p1.8.m8.1"><semantics id="S3.SS1.p1.8.m8.1a"><mi id="S3.SS1.p1.8.m8.1.1" xref="S3.SS1.p1.8.m8.1.1.cmml">T</mi><annotation-xml encoding="MathML-Content" id="S3.SS1.p1.8.m8.1b"><ci id="S3.SS1.p1.8.m8.1.1.cmml" xref="S3.SS1.p1.8.m8.1.1">𝑇</ci></annotation-xml><annotation encoding="application/x-tex" id="S3.SS1.p1.8.m8.1c">T</annotation><annotation encoding="application/x-llamapun" id="S3.SS1.p1.8.m8.1d">italic_T</annotation></semantics></math>. Initializing the density volume <math alttext="\mathbf{V}_{D}" class="ltx_Math" display="inline" id="S3.SS1.p1.9.m9.1"><semantics id="S3.SS1.p1.9.m9.1a"><msub id="S3.SS1.p1.9.m9.1.1" xref="S3.SS1.p1.9.m9.1.1.cmml"><mi id="S3.SS1.p1.9.m9.1.1.2" xref="S3.SS1.p1.9.m9.1.1.2.cmml">𝐕</mi><mi id="S3.SS1.p1.9.m9.1.1.3" xref="S3.SS1.p1.9.m9.1.1.3.cmml">D</mi></msub><annotation-xml encoding="MathML-Content" id="S3.SS1.p1.9.m9.1b"><apply id="S3.SS1.p1.9.m9.1.1.cmml" xref="S3.SS1.p1.9.m9.1.1"><csymbol cd="ambiguous" id="S3.SS1.p1.9.m9.1.1.1.cmml" xref="S3.SS1.p1.9.m9.1.1">subscript</csymbol><ci id="S3.SS1.p1.9.m9.1.1.2.cmml" xref="S3.SS1.p1.9.m9.1.1.2">𝐕</ci><ci id="S3.SS1.p1.9.m9.1.1.3.cmml" xref="S3.SS1.p1.9.m9.1.1.3">𝐷</ci></apply></annotation-xml><annotation encoding="application/x-tex" id="S3.SS1.p1.9.m9.1c">\mathbf{V}_{D}</annotation><annotation encoding="application/x-llamapun" id="S3.SS1.p1.9.m9.1d">bold_V start_POSTSUBSCRIPT italic_D end_POSTSUBSCRIPT</annotation></semantics></math> with the one learned from the lowest resolution model can be helpful (though it can also be learned). Subsequently, the filtered point <math alttext="\mathbf{x}_{f}" class="ltx_Math" display="inline" id="S3.SS1.p1.10.m10.1"><semantics id="S3.SS1.p1.10.m10.1a"><msub id="S3.SS1.p1.10.m10.1.1" xref="S3.SS1.p1.10.m10.1.1.cmml"><mi id="S3.SS1.p1.10.m10.1.1.2" xref="S3.SS1.p1.10.m10.1.1.2.cmml">𝐱</mi><mi id="S3.SS1.p1.10.m10.1.1.3" xref="S3.SS1.p1.10.m10.1.1.3.cmml">f</mi></msub><annotation-xml encoding="MathML-Content" id="S3.SS1.p1.10.m10.1b"><apply id="S3.SS1.p1.10.m10.1.1.cmml" xref="S3.SS1.p1.10.m10.1.1"><csymbol cd="ambiguous" id="S3.SS1.p1.10.m10.1.1.1.cmml" xref="S3.SS1.p1.10.m10.1.1">subscript</csymbol><ci id="S3.SS1.p1.10.m10.1.1.2.cmml" xref="S3.SS1.p1.10.m10.1.1.2">𝐱</ci><ci id="S3.SS1.p1.10.m10.1.1.3.cmml" xref="S3.SS1.p1.10.m10.1.1.3">𝑓</ci></apply></annotation-xml><annotation encoding="application/x-tex" id="S3.SS1.p1.10.m10.1c">\mathbf{x}_{f}</annotation><annotation encoding="application/x-llamapun" id="S3.SS1.p1.10.m10.1d">bold_x start_POSTSUBSCRIPT italic_f end_POSTSUBSCRIPT</annotation></semantics></math> is fed to the gate <math alttext="G" class="ltx_Math" display="inline" id="S3.SS1.p1.11.m11.1"><semantics id="S3.SS1.p1.11.m11.1a"><mi id="S3.SS1.p1.11.m11.1.1" xref="S3.SS1.p1.11.m11.1.1.cmml">G</mi><annotation-xml encoding="MathML-Content" id="S3.SS1.p1.11.m11.1b"><ci id="S3.SS1.p1.11.m11.1.1.cmml" xref="S3.SS1.p1.11.m11.1.1">𝐺</ci></annotation-xml><annotation encoding="application/x-tex" id="S3.SS1.p1.11.m11.1c">G</annotation><annotation encoding="application/x-llamapun" id="S3.SS1.p1.11.m11.1d">italic_G</annotation></semantics></math>, so we denote with <math alttext="G(\mathbf{x}_{f})" class="ltx_Math" display="inline" id="S3.SS1.p1.12.m12.1"><semantics id="S3.SS1.p1.12.m12.1a"><mrow id="S3.SS1.p1.12.m12.1.1" xref="S3.SS1.p1.12.m12.1.1.cmml"><mi id="S3.SS1.p1.12.m12.1.1.3" xref="S3.SS1.p1.12.m12.1.1.3.cmml">G</mi><mo id="S3.SS1.p1.12.m12.1.1.2" xref="S3.SS1.p1.12.m12.1.1.2.cmml">⁢</mo><mrow id="S3.SS1.p1.12.m12.1.1.1.1" xref="S3.SS1.p1.12.m12.1.1.1.1.1.cmml"><mo id="S3.SS1.p1.12.m12.1.1.1.1.2" stretchy="false" xref="S3.SS1.p1.12.m12.1.1.1.1.1.cmml">(</mo><msub id="S3.SS1.p1.12.m12.1.1.1.1.1" xref="S3.SS1.p1.12.m12.1.1.1.1.1.cmml"><mi id="S3.SS1.p1.12.m12.1.1.1.1.1.2" xref="S3.SS1.p1.12.m12.1.1.1.1.1.2.cmml">𝐱</mi><mi id="S3.SS1.p1.12.m12.1.1.1.1.1.3" xref="S3.SS1.p1.12.m12.1.1.1.1.1.3.cmml">f</mi></msub><mo id="S3.SS1.p1.12.m12.1.1.1.1.3" stretchy="false" xref="S3.SS1.p1.12.m12.1.1.1.1.1.cmml">)</mo></mrow></mrow><annotation-xml encoding="MathML-Content" id="S3.SS1.p1.12.m12.1b"><apply id="S3.SS1.p1.12.m12.1.1.cmml" xref="S3.SS1.p1.12.m12.1.1"><times id="S3.SS1.p1.12.m12.1.1.2.cmml" xref="S3.SS1.p1.12.m12.1.1.2"></times><ci id="S3.SS1.p1.12.m12.1.1.3.cmml" xref="S3.SS1.p1.12.m12.1.1.3">𝐺</ci><apply id="S3.SS1.p1.12.m12.1.1.1.1.1.cmml" xref="S3.SS1.p1.12.m12.1.1.1.1"><csymbol cd="ambiguous" id="S3.SS1.p1.12.m12.1.1.1.1.1.1.cmml" xref="S3.SS1.p1.12.m12.1.1.1.1">subscript</csymbol><ci id="S3.SS1.p1.12.m12.1.1.1.1.1.2.cmml" xref="S3.SS1.p1.12.m12.1.1.1.1.1.2">𝐱</ci><ci id="S3.SS1.p1.12.m12.1.1.1.1.1.3.cmml" xref="S3.SS1.p1.12.m12.1.1.1.1.1.3">𝑓</ci></apply></apply></annotation-xml><annotation encoding="application/x-tex" id="S3.SS1.p1.12.m12.1c">G(\mathbf{x}_{f})</annotation><annotation encoding="application/x-llamapun" id="S3.SS1.p1.12.m12.1d">italic_G ( bold_x start_POSTSUBSCRIPT italic_f end_POSTSUBSCRIPT )</annotation></semantics></math> the probabilities with which the point is assigned to the <math alttext="M" class="ltx_Math" display="inline" id="S3.SS1.p1.13.m13.1"><semantics id="S3.SS1.p1.13.m13.1a"><mi id="S3.SS1.p1.13.m13.1.1" xref="S3.SS1.p1.13.m13.1.1.cmml">M</mi><annotation-xml encoding="MathML-Content" id="S3.SS1.p1.13.m13.1b"><ci id="S3.SS1.p1.13.m13.1.1.cmml" xref="S3.SS1.p1.13.m13.1.1">𝑀</ci></annotation-xml><annotation encoding="application/x-tex" id="S3.SS1.p1.13.m13.1c">M</annotation><annotation encoding="application/x-llamapun" id="S3.SS1.p1.13.m13.1d">italic_M</annotation></semantics></math> experts. Based on these values, each point is routed to the Top-<math alttext="K" class="ltx_Math" display="inline" id="S3.SS1.p1.14.m14.1"><semantics id="S3.SS1.p1.14.m14.1a"><mi id="S3.SS1.p1.14.m14.1.1" xref="S3.SS1.p1.14.m14.1.1.cmml">K</mi><annotation-xml encoding="MathML-Content" id="S3.SS1.p1.14.m14.1b"><ci id="S3.SS1.p1.14.m14.1.1.cmml" xref="S3.SS1.p1.14.m14.1.1">𝐾</ci></annotation-xml><annotation encoding="application/x-tex" id="S3.SS1.p1.14.m14.1c">K</annotation><annotation encoding="application/x-llamapun" id="S3.SS1.p1.14.m14.1d">italic_K</annotation></semantics></math> experts. Each selected expert then computes the radiance <math alttext="\mathbf{c}_{i,f}" class="ltx_Math" display="inline" id="S3.SS1.p1.15.m15.2"><semantics id="S3.SS1.p1.15.m15.2a"><msub id="S3.SS1.p1.15.m15.2.3" xref="S3.SS1.p1.15.m15.2.3.cmml"><mi id="S3.SS1.p1.15.m15.2.3.2" xref="S3.SS1.p1.15.m15.2.3.2.cmml">𝐜</mi><mrow id="S3.SS1.p1.15.m15.2.2.2.4" xref="S3.SS1.p1.15.m15.2.2.2.3.cmml"><mi id="S3.SS1.p1.15.m15.1.1.1.1" xref="S3.SS1.p1.15.m15.1.1.1.1.cmml">i</mi><mo id="S3.SS1.p1.15.m15.2.2.2.4.1" xref="S3.SS1.p1.15.m15.2.2.2.3.cmml">,</mo><mi id="S3.SS1.p1.15.m15.2.2.2.2" xref="S3.SS1.p1.15.m15.2.2.2.2.cmml">f</mi></mrow></msub><annotation-xml encoding="MathML-Content" id="S3.SS1.p1.15.m15.2b"><apply id="S3.SS1.p1.15.m15.2.3.cmml" xref="S3.SS1.p1.15.m15.2.3"><csymbol cd="ambiguous" id="S3.SS1.p1.15.m15.2.3.1.cmml" xref="S3.SS1.p1.15.m15.2.3">subscript</csymbol><ci id="S3.SS1.p1.15.m15.2.3.2.cmml" xref="S3.SS1.p1.15.m15.2.3.2">𝐜</ci><list id="S3.SS1.p1.15.m15.2.2.2.3.cmml" xref="S3.SS1.p1.15.m15.2.2.2.4"><ci id="S3.SS1.p1.15.m15.1.1.1.1.cmml" xref="S3.SS1.p1.15.m15.1.1.1.1">𝑖</ci><ci id="S3.SS1.p1.15.m15.2.2.2.2.cmml" xref="S3.SS1.p1.15.m15.2.2.2.2">𝑓</ci></list></apply></annotation-xml><annotation encoding="application/x-tex" id="S3.SS1.p1.15.m15.2c">\mathbf{c}_{i,f}</annotation><annotation encoding="application/x-llamapun" id="S3.SS1.p1.15.m15.2d">bold_c start_POSTSUBSCRIPT italic_i , italic_f end_POSTSUBSCRIPT</annotation></semantics></math> and density values <math alttext="\sigma_{i,f}" class="ltx_Math" display="inline" id="S3.SS1.p1.16.m16.2"><semantics id="S3.SS1.p1.16.m16.2a"><msub id="S3.SS1.p1.16.m16.2.3" xref="S3.SS1.p1.16.m16.2.3.cmml"><mi id="S3.SS1.p1.16.m16.2.3.2" xref="S3.SS1.p1.16.m16.2.3.2.cmml">σ</mi><mrow id="S3.SS1.p1.16.m16.2.2.2.4" xref="S3.SS1.p1.16.m16.2.2.2.3.cmml"><mi id="S3.SS1.p1.16.m16.1.1.1.1" xref="S3.SS1.p1.16.m16.1.1.1.1.cmml">i</mi><mo id="S3.SS1.p1.16.m16.2.2.2.4.1" xref="S3.SS1.p1.16.m16.2.2.2.3.cmml">,</mo><mi id="S3.SS1.p1.16.m16.2.2.2.2" xref="S3.SS1.p1.16.m16.2.2.2.2.cmml">f</mi></mrow></msub><annotation-xml encoding="MathML-Content" id="S3.SS1.p1.16.m16.2b"><apply id="S3.SS1.p1.16.m16.2.3.cmml" xref="S3.SS1.p1.16.m16.2.3"><csymbol cd="ambiguous" id="S3.SS1.p1.16.m16.2.3.1.cmml" xref="S3.SS1.p1.16.m16.2.3">subscript</csymbol><ci id="S3.SS1.p1.16.m16.2.3.2.cmml" xref="S3.SS1.p1.16.m16.2.3.2">𝜎</ci><list id="S3.SS1.p1.16.m16.2.2.2.3.cmml" xref="S3.SS1.p1.16.m16.2.2.2.4"><ci id="S3.SS1.p1.16.m16.1.1.1.1.cmml" xref="S3.SS1.p1.16.m16.1.1.1.1">𝑖</ci><ci id="S3.SS1.p1.16.m16.2.2.2.2.cmml" xref="S3.SS1.p1.16.m16.2.2.2.2">𝑓</ci></list></apply></annotation-xml><annotation encoding="application/x-tex" id="S3.SS1.p1.16.m16.2c">\sigma_{i,f}</annotation><annotation encoding="application/x-llamapun" id="S3.SS1.p1.16.m16.2d">italic_σ start_POSTSUBSCRIPT italic_i , italic_f end_POSTSUBSCRIPT</annotation></semantics></math> for the point, both of which are multiplied by their respective probabilities and summed together to get the final radiance <math alttext="\mathbf{c}_{f}" class="ltx_Math" display="inline" id="S3.SS1.p1.17.m17.1"><semantics id="S3.SS1.p1.17.m17.1a"><msub id="S3.SS1.p1.17.m17.1.1" xref="S3.SS1.p1.17.m17.1.1.cmml"><mi id="S3.SS1.p1.17.m17.1.1.2" xref="S3.SS1.p1.17.m17.1.1.2.cmml">𝐜</mi><mi id="S3.SS1.p1.17.m17.1.1.3" xref="S3.SS1.p1.17.m17.1.1.3.cmml">f</mi></msub><annotation-xml encoding="MathML-Content" id="S3.SS1.p1.17.m17.1b"><apply id="S3.SS1.p1.17.m17.1.1.cmml" xref="S3.SS1.p1.17.m17.1.1"><csymbol cd="ambiguous" id="S3.SS1.p1.17.m17.1.1.1.cmml" xref="S3.SS1.p1.17.m17.1.1">subscript</csymbol><ci id="S3.SS1.p1.17.m17.1.1.2.cmml" xref="S3.SS1.p1.17.m17.1.1.2">𝐜</ci><ci id="S3.SS1.p1.17.m17.1.1.3.cmml" xref="S3.SS1.p1.17.m17.1.1.3">𝑓</ci></apply></annotation-xml><annotation encoding="application/x-tex" id="S3.SS1.p1.17.m17.1c">\mathbf{c}_{f}</annotation><annotation encoding="application/x-llamapun" id="S3.SS1.p1.17.m17.1d">bold_c start_POSTSUBSCRIPT italic_f end_POSTSUBSCRIPT</annotation></semantics></math> and density <math alttext="\sigma_{f}" class="ltx_Math" display="inline" id="S3.SS1.p1.18.m18.1"><semantics id="S3.SS1.p1.18.m18.1a"><msub id="S3.SS1.p1.18.m18.1.1" xref="S3.SS1.p1.18.m18.1.1.cmml"><mi id="S3.SS1.p1.18.m18.1.1.2" xref="S3.SS1.p1.18.m18.1.1.2.cmml">σ</mi><mi id="S3.SS1.p1.18.m18.1.1.3" xref="S3.SS1.p1.18.m18.1.1.3.cmml">f</mi></msub><annotation-xml encoding="MathML-Content" id="S3.SS1.p1.18.m18.1b"><apply id="S3.SS1.p1.18.m18.1.1.cmml" xref="S3.SS1.p1.18.m18.1.1"><csymbol cd="ambiguous" id="S3.SS1.p1.18.m18.1.1.1.cmml" xref="S3.SS1.p1.18.m18.1.1">subscript</csymbol><ci id="S3.SS1.p1.18.m18.1.1.2.cmml" xref="S3.SS1.p1.18.m18.1.1.2">𝜎</ci><ci id="S3.SS1.p1.18.m18.1.1.3.cmml" xref="S3.SS1.p1.18.m18.1.1.3">𝑓</ci></apply></annotation-xml><annotation encoding="application/x-tex" id="S3.SS1.p1.18.m18.1c">\sigma_{f}</annotation><annotation encoding="application/x-llamapun" id="S3.SS1.p1.18.m18.1d">italic_σ start_POSTSUBSCRIPT italic_f end_POSTSUBSCRIPT</annotation></semantics></math>. Subsequently, the volume rendering Equation <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S2.E1" title="Equation 1 ‣ 2.1 Neural Radiance Field ‣ 2 Related works ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">1</a> is used to aggregate all colors and compute the pixel color for the given ray. Finally, we compute the total loss and jointly optimize the gate and the experts. </div> <div class="ltx_para" id="S3.SS1.p2"> In the next sections, we will dive into the gating and sparse mixture of expert modules. </div> </section> <section class="ltx_subsection" id="S3.SS2"> <h3 class="ltx_title ltx_title_subsection"> 3.2 Ray Sampling and Filtering</h3> <div class="ltx_para" id="S3.SS2.p1"> The first phase of our method involves learning a coarse and explicit density field starting from the density volume <math alttext="\mathbf{V}_{D}" class="ltx_Math" display="inline" id="S3.SS2.p1.1.m1.1"><semantics id="S3.SS2.p1.1.m1.1a"><msub id="S3.SS2.p1.1.m1.1.1" xref="S3.SS2.p1.1.m1.1.1.cmml"><mi id="S3.SS2.p1.1.m1.1.1.2" xref="S3.SS2.p1.1.m1.1.1.2.cmml">𝐕</mi><mi id="S3.SS2.p1.1.m1.1.1.3" xref="S3.SS2.p1.1.m1.1.1.3.cmml">D</mi></msub><annotation-xml encoding="MathML-Content" id="S3.SS2.p1.1.m1.1b"><apply id="S3.SS2.p1.1.m1.1.1.cmml" xref="S3.SS2.p1.1.m1.1.1"><csymbol cd="ambiguous" id="S3.SS2.p1.1.m1.1.1.1.cmml" xref="S3.SS2.p1.1.m1.1.1">subscript</csymbol><ci id="S3.SS2.p1.1.m1.1.1.2.cmml" xref="S3.SS2.p1.1.m1.1.1.2">𝐕</ci><ci id="S3.SS2.p1.1.m1.1.1.3.cmml" xref="S3.SS2.p1.1.m1.1.1.3">𝐷</ci></apply></annotation-xml><annotation encoding="application/x-tex" id="S3.SS2.p1.1.m1.1c">\mathbf{V}_{D}</annotation><annotation encoding="application/x-llamapun" id="S3.SS2.p1.1.m1.1d">bold_V start_POSTSUBSCRIPT italic_D end_POSTSUBSCRIPT</annotation></semantics></math>, that we can leverage for skipping empty spaces. Given a ray <math alttext="\mathbf{r}" class="ltx_Math" display="inline" id="S3.SS2.p1.2.m2.1"><semantics id="S3.SS2.p1.2.m2.1a"><mi id="S3.SS2.p1.2.m2.1.1" xref="S3.SS2.p1.2.m2.1.1.cmml">𝐫</mi><annotation-xml encoding="MathML-Content" id="S3.SS2.p1.2.m2.1b"><ci id="S3.SS2.p1.2.m2.1.1.cmml" xref="S3.SS2.p1.2.m2.1.1">𝐫</ci></annotation-xml><annotation encoding="application/x-tex" id="S3.SS2.p1.2.m2.1c">\mathbf{r}</annotation><annotation encoding="application/x-llamapun" id="S3.SS2.p1.2.m2.1d">bold_r</annotation></semantics></math> as explained in Sec. <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S2.SS1" title="2.1 Neural Radiance Field ‣ 2 Related works ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">2.1</a>, we sample <math alttext="N" class="ltx_Math" display="inline" id="S3.SS2.p1.3.m3.1"><semantics id="S3.SS2.p1.3.m3.1a"><mi id="S3.SS2.p1.3.m3.1.1" xref="S3.SS2.p1.3.m3.1.1.cmml">N</mi><annotation-xml encoding="MathML-Content" id="S3.SS2.p1.3.m3.1b"><ci id="S3.SS2.p1.3.m3.1.1.cmml" xref="S3.SS2.p1.3.m3.1.1">𝑁</ci></annotation-xml><annotation encoding="application/x-tex" id="S3.SS2.p1.3.m3.1c">N</annotation><annotation encoding="application/x-llamapun" id="S3.SS2.p1.3.m3.1d">italic_N</annotation></semantics></math> points along it: <table class="ltx_equation ltx_eqn_table" id="S3.E3"> <tbody><tr class="ltx_equation ltx_eqn_row ltx_align_baseline"> <td class="ltx_eqn_cell ltx_eqn_center_padleft"></td> <td class="ltx_eqn_cell ltx_align_center"><math alttext="\mathbf{X}_{p,r}=\operatorname{sampling}(\mathbf{r})\in\mathbb{R}^{N\times 3}," class="ltx_Math" display="block" id="S3.E3.m1.5"><semantics id="S3.E3.m1.5a"><mrow id="S3.E3.m1.5.5.1" xref="S3.E3.m1.5.5.1.1.cmml"><mrow id="S3.E3.m1.5.5.1.1" xref="S3.E3.m1.5.5.1.1.cmml"><msub id="S3.E3.m1.5.5.1.1.2" xref="S3.E3.m1.5.5.1.1.2.cmml"><mi id="S3.E3.m1.5.5.1.1.2.2" xref="S3.E3.m1.5.5.1.1.2.2.cmml">𝐗</mi><mrow id="S3.E3.m1.2.2.2.4" xref="S3.E3.m1.2.2.2.3.cmml"><mi id="S3.E3.m1.1.1.1.1" xref="S3.E3.m1.1.1.1.1.cmml">p</mi><mo id="S3.E3.m1.2.2.2.4.1" xref="S3.E3.m1.2.2.2.3.cmml">,</mo><mi id="S3.E3.m1.2.2.2.2" xref="S3.E3.m1.2.2.2.2.cmml">r</mi></mrow></msub><mo id="S3.E3.m1.5.5.1.1.3" xref="S3.E3.m1.5.5.1.1.3.cmml">=</mo><mrow id="S3.E3.m1.5.5.1.1.4.2" xref="S3.E3.m1.5.5.1.1.4.1.cmml"><mi id="S3.E3.m1.3.3" xref="S3.E3.m1.3.3.cmml">sampling</mi><mo id="S3.E3.m1.5.5.1.1.4.2a" xref="S3.E3.m1.5.5.1.1.4.1.cmml">⁡</mo><mrow id="S3.E3.m1.5.5.1.1.4.2.1" xref="S3.E3.m1.5.5.1.1.4.1.cmml"><mo id="S3.E3.m1.5.5.1.1.4.2.1.1" stretchy="false" xref="S3.E3.m1.5.5.1.1.4.1.cmml">(</mo><mi id="S3.E3.m1.4.4" xref="S3.E3.m1.4.4.cmml">𝐫</mi><mo id="S3.E3.m1.5.5.1.1.4.2.1.2" stretchy="false" xref="S3.E3.m1.5.5.1.1.4.1.cmml">)</mo></mrow></mrow><mo id="S3.E3.m1.5.5.1.1.5" xref="S3.E3.m1.5.5.1.1.5.cmml">∈</mo><msup id="S3.E3.m1.5.5.1.1.6" xref="S3.E3.m1.5.5.1.1.6.cmml"><mi id="S3.E3.m1.5.5.1.1.6.2" 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id="S3.E3.m1.2.2.2.3.cmml" xref="S3.E3.m1.2.2.2.4"><ci id="S3.E3.m1.1.1.1.1.cmml" xref="S3.E3.m1.1.1.1.1">𝑝</ci><ci id="S3.E3.m1.2.2.2.2.cmml" xref="S3.E3.m1.2.2.2.2">𝑟</ci></list></apply><apply id="S3.E3.m1.5.5.1.1.4.1.cmml" xref="S3.E3.m1.5.5.1.1.4.2"><ci id="S3.E3.m1.3.3.cmml" xref="S3.E3.m1.3.3">sampling</ci><ci id="S3.E3.m1.4.4.cmml" xref="S3.E3.m1.4.4">𝐫</ci></apply></apply><apply id="S3.E3.m1.5.5.1.1c.cmml" xref="S3.E3.m1.5.5.1"><in id="S3.E3.m1.5.5.1.1.5.cmml" xref="S3.E3.m1.5.5.1.1.5"></in><share href="https://arxiv.org/html/2407.10389v3#S3.E3.m1.5.5.1.1.4.cmml" id="S3.E3.m1.5.5.1.1d.cmml" xref="S3.E3.m1.5.5.1"></share><apply id="S3.E3.m1.5.5.1.1.6.cmml" xref="S3.E3.m1.5.5.1.1.6"><csymbol cd="ambiguous" id="S3.E3.m1.5.5.1.1.6.1.cmml" xref="S3.E3.m1.5.5.1.1.6">superscript</csymbol><ci id="S3.E3.m1.5.5.1.1.6.2.cmml" xref="S3.E3.m1.5.5.1.1.6.2">ℝ</ci><apply id="S3.E3.m1.5.5.1.1.6.3.cmml" xref="S3.E3.m1.5.5.1.1.6.3"><times id="S3.E3.m1.5.5.1.1.6.3.1.cmml" xref="S3.E3.m1.5.5.1.1.6.3.1"></times><ci id="S3.E3.m1.5.5.1.1.6.3.2.cmml" xref="S3.E3.m1.5.5.1.1.6.3.2">𝑁</ci><cn id="S3.E3.m1.5.5.1.1.6.3.3.cmml" type="integer" xref="S3.E3.m1.5.5.1.1.6.3.3">3</cn></apply></apply></apply></apply></annotation-xml><annotation encoding="application/x-tex" id="S3.E3.m1.5c">\mathbf{X}_{p,r}=\operatorname{sampling}(\mathbf{r})\in\mathbb{R}^{N\times 3},</annotation><annotation encoding="application/x-llamapun" id="S3.E3.m1.5d">bold_X start_POSTSUBSCRIPT italic_p , italic_r end_POSTSUBSCRIPT = roman_sampling ( bold_r ) ∈ blackboard_R start_POSTSUPERSCRIPT italic_N × 3 end_POSTSUPERSCRIPT ,</annotation></semantics></math></td> <td class="ltx_eqn_cell ltx_eqn_center_padright"></td> <td class="ltx_eqn_cell ltx_eqn_eqno ltx_align_middle ltx_align_right" rowspan="1">(3)</td> </tr></tbody> </table> with <math alttext="p\in[0,...,N-1]" class="ltx_Math" display="inline" id="S3.SS2.p1.4.m1.3"><semantics id="S3.SS2.p1.4.m1.3a"><mrow id="S3.SS2.p1.4.m1.3.3" xref="S3.SS2.p1.4.m1.3.3.cmml"><mi id="S3.SS2.p1.4.m1.3.3.3" xref="S3.SS2.p1.4.m1.3.3.3.cmml">p</mi><mo id="S3.SS2.p1.4.m1.3.3.2" xref="S3.SS2.p1.4.m1.3.3.2.cmml">∈</mo><mrow id="S3.SS2.p1.4.m1.3.3.1.1" xref="S3.SS2.p1.4.m1.3.3.1.2.cmml"><mo id="S3.SS2.p1.4.m1.3.3.1.1.2" stretchy="false" xref="S3.SS2.p1.4.m1.3.3.1.2.cmml">[</mo><mn id="S3.SS2.p1.4.m1.1.1" xref="S3.SS2.p1.4.m1.1.1.cmml">0</mn><mo id="S3.SS2.p1.4.m1.3.3.1.1.3" xref="S3.SS2.p1.4.m1.3.3.1.2.cmml">,</mo><mi id="S3.SS2.p1.4.m1.2.2" mathvariant="normal" xref="S3.SS2.p1.4.m1.2.2.cmml">…</mi><mo id="S3.SS2.p1.4.m1.3.3.1.1.4" xref="S3.SS2.p1.4.m1.3.3.1.2.cmml">,</mo><mrow id="S3.SS2.p1.4.m1.3.3.1.1.1" xref="S3.SS2.p1.4.m1.3.3.1.1.1.cmml"><mi id="S3.SS2.p1.4.m1.3.3.1.1.1.2" xref="S3.SS2.p1.4.m1.3.3.1.1.1.2.cmml">N</mi><mo id="S3.SS2.p1.4.m1.3.3.1.1.1.1" xref="S3.SS2.p1.4.m1.3.3.1.1.1.1.cmml">−</mo><mn id="S3.SS2.p1.4.m1.3.3.1.1.1.3" xref="S3.SS2.p1.4.m1.3.3.1.1.1.3.cmml">1</mn></mrow><mo id="S3.SS2.p1.4.m1.3.3.1.1.5" stretchy="false" xref="S3.SS2.p1.4.m1.3.3.1.2.cmml">]</mo></mrow></mrow><annotation-xml encoding="MathML-Content" id="S3.SS2.p1.4.m1.3b"><apply id="S3.SS2.p1.4.m1.3.3.cmml" xref="S3.SS2.p1.4.m1.3.3"><in id="S3.SS2.p1.4.m1.3.3.2.cmml" xref="S3.SS2.p1.4.m1.3.3.2"></in><ci id="S3.SS2.p1.4.m1.3.3.3.cmml" xref="S3.SS2.p1.4.m1.3.3.3">𝑝</ci><list id="S3.SS2.p1.4.m1.3.3.1.2.cmml" xref="S3.SS2.p1.4.m1.3.3.1.1"><cn id="S3.SS2.p1.4.m1.1.1.cmml" type="integer" xref="S3.SS2.p1.4.m1.1.1">0</cn><ci id="S3.SS2.p1.4.m1.2.2.cmml" xref="S3.SS2.p1.4.m1.2.2">…</ci><apply id="S3.SS2.p1.4.m1.3.3.1.1.1.cmml" xref="S3.SS2.p1.4.m1.3.3.1.1.1"><minus id="S3.SS2.p1.4.m1.3.3.1.1.1.1.cmml" xref="S3.SS2.p1.4.m1.3.3.1.1.1.1"></minus><ci id="S3.SS2.p1.4.m1.3.3.1.1.1.2.cmml" xref="S3.SS2.p1.4.m1.3.3.1.1.1.2">𝑁</ci><cn id="S3.SS2.p1.4.m1.3.3.1.1.1.3.cmml" type="integer" xref="S3.SS2.p1.4.m1.3.3.1.1.1.3">1</cn></apply></list></apply></annotation-xml><annotation encoding="application/x-tex" id="S3.SS2.p1.4.m1.3c">p\in[0,...,N-1]</annotation><annotation encoding="application/x-llamapun" id="S3.SS2.p1.4.m1.3d">italic_p ∈ [ 0 , … , italic_N - 1 ]</annotation></semantics></math>. We suppress the index <math alttext="r" class="ltx_Math" display="inline" id="S3.SS2.p1.5.m2.1"><semantics id="S3.SS2.p1.5.m2.1a"><mi id="S3.SS2.p1.5.m2.1.1" xref="S3.SS2.p1.5.m2.1.1.cmml">r</mi><annotation-xml encoding="MathML-Content" id="S3.SS2.p1.5.m2.1b"><ci id="S3.SS2.p1.5.m2.1.1.cmml" xref="S3.SS2.p1.5.m2.1.1">𝑟</ci></annotation-xml><annotation encoding="application/x-tex" id="S3.SS2.p1.5.m2.1c">r</annotation><annotation encoding="application/x-llamapun" id="S3.SS2.p1.5.m2.1d">italic_r</annotation></semantics></math> for abuse of notation. Next, we compute the density for each point <math alttext="\mathbf{x}_{p}\in\mathbb{R}^{3}" class="ltx_Math" display="inline" id="S3.SS2.p1.6.m3.1"><semantics id="S3.SS2.p1.6.m3.1a"><mrow id="S3.SS2.p1.6.m3.1.1" xref="S3.SS2.p1.6.m3.1.1.cmml"><msub id="S3.SS2.p1.6.m3.1.1.2" xref="S3.SS2.p1.6.m3.1.1.2.cmml"><mi id="S3.SS2.p1.6.m3.1.1.2.2" xref="S3.SS2.p1.6.m3.1.1.2.2.cmml">𝐱</mi><mi id="S3.SS2.p1.6.m3.1.1.2.3" xref="S3.SS2.p1.6.m3.1.1.2.3.cmml">p</mi></msub><mo id="S3.SS2.p1.6.m3.1.1.1" xref="S3.SS2.p1.6.m3.1.1.1.cmml">∈</mo><msup id="S3.SS2.p1.6.m3.1.1.3" xref="S3.SS2.p1.6.m3.1.1.3.cmml"><mi id="S3.SS2.p1.6.m3.1.1.3.2" xref="S3.SS2.p1.6.m3.1.1.3.2.cmml">ℝ</mi><mn id="S3.SS2.p1.6.m3.1.1.3.3" xref="S3.SS2.p1.6.m3.1.1.3.3.cmml">3</mn></msup></mrow><annotation-xml encoding="MathML-Content" id="S3.SS2.p1.6.m3.1b"><apply id="S3.SS2.p1.6.m3.1.1.cmml" xref="S3.SS2.p1.6.m3.1.1"><in id="S3.SS2.p1.6.m3.1.1.1.cmml" xref="S3.SS2.p1.6.m3.1.1.1"></in><apply id="S3.SS2.p1.6.m3.1.1.2.cmml" xref="S3.SS2.p1.6.m3.1.1.2"><csymbol cd="ambiguous" id="S3.SS2.p1.6.m3.1.1.2.1.cmml" xref="S3.SS2.p1.6.m3.1.1.2">subscript</csymbol><ci id="S3.SS2.p1.6.m3.1.1.2.2.cmml" xref="S3.SS2.p1.6.m3.1.1.2.2">𝐱</ci><ci id="S3.SS2.p1.6.m3.1.1.2.3.cmml" xref="S3.SS2.p1.6.m3.1.1.2.3">𝑝</ci></apply><apply id="S3.SS2.p1.6.m3.1.1.3.cmml" xref="S3.SS2.p1.6.m3.1.1.3"><csymbol cd="ambiguous" id="S3.SS2.p1.6.m3.1.1.3.1.cmml" xref="S3.SS2.p1.6.m3.1.1.3">superscript</csymbol><ci id="S3.SS2.p1.6.m3.1.1.3.2.cmml" xref="S3.SS2.p1.6.m3.1.1.3.2">ℝ</ci><cn id="S3.SS2.p1.6.m3.1.1.3.3.cmml" type="integer" xref="S3.SS2.p1.6.m3.1.1.3.3">3</cn></apply></apply></annotation-xml><annotation encoding="application/x-tex" id="S3.SS2.p1.6.m3.1c">\mathbf{x}_{p}\in\mathbb{R}^{3}</annotation><annotation encoding="application/x-llamapun" id="S3.SS2.p1.6.m3.1d">bold_x start_POSTSUBSCRIPT italic_p end_POSTSUBSCRIPT ∈ blackboard_R start_POSTSUPERSCRIPT 3 end_POSTSUPERSCRIPT</annotation></semantics></math> and discard those with negligible density. The density value <math alttext="\mathbf{\sigma}_{D,p}" class="ltx_Math" display="inline" id="S3.SS2.p1.7.m4.2"><semantics id="S3.SS2.p1.7.m4.2a"><msub id="S3.SS2.p1.7.m4.2.3" xref="S3.SS2.p1.7.m4.2.3.cmml"><mi id="S3.SS2.p1.7.m4.2.3.2" xref="S3.SS2.p1.7.m4.2.3.2.cmml">σ</mi><mrow id="S3.SS2.p1.7.m4.2.2.2.4" xref="S3.SS2.p1.7.m4.2.2.2.3.cmml"><mi id="S3.SS2.p1.7.m4.1.1.1.1" xref="S3.SS2.p1.7.m4.1.1.1.1.cmml">D</mi><mo id="S3.SS2.p1.7.m4.2.2.2.4.1" xref="S3.SS2.p1.7.m4.2.2.2.3.cmml">,</mo><mi id="S3.SS2.p1.7.m4.2.2.2.2" xref="S3.SS2.p1.7.m4.2.2.2.2.cmml">p</mi></mrow></msub><annotation-xml encoding="MathML-Content" id="S3.SS2.p1.7.m4.2b"><apply id="S3.SS2.p1.7.m4.2.3.cmml" xref="S3.SS2.p1.7.m4.2.3"><csymbol cd="ambiguous" id="S3.SS2.p1.7.m4.2.3.1.cmml" xref="S3.SS2.p1.7.m4.2.3">subscript</csymbol><ci id="S3.SS2.p1.7.m4.2.3.2.cmml" xref="S3.SS2.p1.7.m4.2.3.2">𝜎</ci><list id="S3.SS2.p1.7.m4.2.2.2.3.cmml" xref="S3.SS2.p1.7.m4.2.2.2.4"><ci id="S3.SS2.p1.7.m4.1.1.1.1.cmml" xref="S3.SS2.p1.7.m4.1.1.1.1">𝐷</ci><ci id="S3.SS2.p1.7.m4.2.2.2.2.cmml" xref="S3.SS2.p1.7.m4.2.2.2.2">𝑝</ci></list></apply></annotation-xml><annotation encoding="application/x-tex" id="S3.SS2.p1.7.m4.2c">\mathbf{\sigma}_{D,p}</annotation><annotation encoding="application/x-llamapun" id="S3.SS2.p1.7.m4.2d">italic_σ start_POSTSUBSCRIPT italic_D , italic_p end_POSTSUBSCRIPT</annotation></semantics></math> for each point is computed by linearly interpolating <math alttext="v" class="ltx_Math" display="inline" id="S3.SS2.p1.8.m5.1"><semantics id="S3.SS2.p1.8.m5.1a"><mi id="S3.SS2.p1.8.m5.1.1" xref="S3.SS2.p1.8.m5.1.1.cmml">v</mi><annotation-xml encoding="MathML-Content" id="S3.SS2.p1.8.m5.1b"><ci id="S3.SS2.p1.8.m5.1.1.cmml" xref="S3.SS2.p1.8.m5.1.1">𝑣</ci></annotation-xml><annotation encoding="application/x-tex" id="S3.SS2.p1.8.m5.1c">v</annotation><annotation encoding="application/x-llamapun" id="S3.SS2.p1.8.m5.1d">italic_v</annotation></semantics></math> neighboring voxels: </div> <div class="ltx_para" id="S3.SS2.p2"> <table class="ltx_equation ltx_eqn_table" id="S3.E4"> <tbody><tr class="ltx_equation ltx_eqn_row ltx_align_baseline"> <td class="ltx_eqn_cell ltx_eqn_center_padleft"></td> <td class="ltx_eqn_cell ltx_align_center"><math alttext="\sigma_{D,p}=\operatorname{act}(\operatorname{interpolate}(\mathbf{x}_{p},V_{D% }))\in\mathbb{R}" class="ltx_Math" display="block" id="S3.E4.m1.5"><semantics id="S3.E4.m1.5a"><mrow id="S3.E4.m1.5.5" xref="S3.E4.m1.5.5.cmml"><msub id="S3.E4.m1.5.5.3" xref="S3.E4.m1.5.5.3.cmml"><mi id="S3.E4.m1.5.5.3.2" xref="S3.E4.m1.5.5.3.2.cmml">σ</mi><mrow id="S3.E4.m1.2.2.2.4" xref="S3.E4.m1.2.2.2.3.cmml"><mi id="S3.E4.m1.1.1.1.1" xref="S3.E4.m1.1.1.1.1.cmml">D</mi><mo id="S3.E4.m1.2.2.2.4.1" xref="S3.E4.m1.2.2.2.3.cmml">,</mo><mi id="S3.E4.m1.2.2.2.2" xref="S3.E4.m1.2.2.2.2.cmml">p</mi></mrow></msub><mo id="S3.E4.m1.5.5.4" xref="S3.E4.m1.5.5.4.cmml">=</mo><mrow id="S3.E4.m1.5.5.1.1" xref="S3.E4.m1.5.5.1.2.cmml"><mi id="S3.E4.m1.4.4" xref="S3.E4.m1.4.4.cmml">act</mi><mo id="S3.E4.m1.5.5.1.1a" xref="S3.E4.m1.5.5.1.2.cmml">⁡</mo><mrow id="S3.E4.m1.5.5.1.1.1" xref="S3.E4.m1.5.5.1.2.cmml"><mo id="S3.E4.m1.5.5.1.1.1.2" stretchy="false" xref="S3.E4.m1.5.5.1.2.cmml">(</mo><mrow id="S3.E4.m1.5.5.1.1.1.1.2" xref="S3.E4.m1.5.5.1.1.1.1.3.cmml"><mi id="S3.E4.m1.3.3" xref="S3.E4.m1.3.3.cmml">interpolate</mi><mo id="S3.E4.m1.5.5.1.1.1.1.2a" xref="S3.E4.m1.5.5.1.1.1.1.3.cmml">⁡</mo><mrow id="S3.E4.m1.5.5.1.1.1.1.2.2" xref="S3.E4.m1.5.5.1.1.1.1.3.cmml"><mo id="S3.E4.m1.5.5.1.1.1.1.2.2.3" stretchy="false" xref="S3.E4.m1.5.5.1.1.1.1.3.cmml">(</mo><msub id="S3.E4.m1.5.5.1.1.1.1.1.1.1" xref="S3.E4.m1.5.5.1.1.1.1.1.1.1.cmml"><mi id="S3.E4.m1.5.5.1.1.1.1.1.1.1.2" xref="S3.E4.m1.5.5.1.1.1.1.1.1.1.2.cmml">𝐱</mi><mi id="S3.E4.m1.5.5.1.1.1.1.1.1.1.3" xref="S3.E4.m1.5.5.1.1.1.1.1.1.1.3.cmml">p</mi></msub><mo id="S3.E4.m1.5.5.1.1.1.1.2.2.4" xref="S3.E4.m1.5.5.1.1.1.1.3.cmml">,</mo><msub id="S3.E4.m1.5.5.1.1.1.1.2.2.2" xref="S3.E4.m1.5.5.1.1.1.1.2.2.2.cmml"><mi id="S3.E4.m1.5.5.1.1.1.1.2.2.2.2" xref="S3.E4.m1.5.5.1.1.1.1.2.2.2.2.cmml">V</mi><mi id="S3.E4.m1.5.5.1.1.1.1.2.2.2.3" xref="S3.E4.m1.5.5.1.1.1.1.2.2.2.3.cmml">D</mi></msub><mo id="S3.E4.m1.5.5.1.1.1.1.2.2.5" stretchy="false" xref="S3.E4.m1.5.5.1.1.1.1.3.cmml">)</mo></mrow></mrow><mo id="S3.E4.m1.5.5.1.1.1.3" stretchy="false" xref="S3.E4.m1.5.5.1.2.cmml">)</mo></mrow></mrow><mo id="S3.E4.m1.5.5.5" xref="S3.E4.m1.5.5.5.cmml">∈</mo><mi id="S3.E4.m1.5.5.6" xref="S3.E4.m1.5.5.6.cmml">ℝ</mi></mrow><annotation-xml encoding="MathML-Content" id="S3.E4.m1.5b"><apply id="S3.E4.m1.5.5.cmml" xref="S3.E4.m1.5.5"><and id="S3.E4.m1.5.5a.cmml" xref="S3.E4.m1.5.5"></and><apply id="S3.E4.m1.5.5b.cmml" xref="S3.E4.m1.5.5"><eq id="S3.E4.m1.5.5.4.cmml" xref="S3.E4.m1.5.5.4"></eq><apply id="S3.E4.m1.5.5.3.cmml" xref="S3.E4.m1.5.5.3"><csymbol cd="ambiguous" id="S3.E4.m1.5.5.3.1.cmml" xref="S3.E4.m1.5.5.3">subscript</csymbol><ci id="S3.E4.m1.5.5.3.2.cmml" xref="S3.E4.m1.5.5.3.2">𝜎</ci><list id="S3.E4.m1.2.2.2.3.cmml" xref="S3.E4.m1.2.2.2.4"><ci id="S3.E4.m1.1.1.1.1.cmml" xref="S3.E4.m1.1.1.1.1">𝐷</ci><ci id="S3.E4.m1.2.2.2.2.cmml" xref="S3.E4.m1.2.2.2.2">𝑝</ci></list></apply><apply id="S3.E4.m1.5.5.1.2.cmml" xref="S3.E4.m1.5.5.1.1"><ci id="S3.E4.m1.4.4.cmml" xref="S3.E4.m1.4.4">act</ci><apply id="S3.E4.m1.5.5.1.1.1.1.3.cmml" xref="S3.E4.m1.5.5.1.1.1.1.2"><ci id="S3.E4.m1.3.3.cmml" xref="S3.E4.m1.3.3">interpolate</ci><apply id="S3.E4.m1.5.5.1.1.1.1.1.1.1.cmml" xref="S3.E4.m1.5.5.1.1.1.1.1.1.1"><csymbol cd="ambiguous" id="S3.E4.m1.5.5.1.1.1.1.1.1.1.1.cmml" xref="S3.E4.m1.5.5.1.1.1.1.1.1.1">subscript</csymbol><ci id="S3.E4.m1.5.5.1.1.1.1.1.1.1.2.cmml" xref="S3.E4.m1.5.5.1.1.1.1.1.1.1.2">𝐱</ci><ci id="S3.E4.m1.5.5.1.1.1.1.1.1.1.3.cmml" xref="S3.E4.m1.5.5.1.1.1.1.1.1.1.3">𝑝</ci></apply><apply id="S3.E4.m1.5.5.1.1.1.1.2.2.2.cmml" xref="S3.E4.m1.5.5.1.1.1.1.2.2.2"><csymbol cd="ambiguous" id="S3.E4.m1.5.5.1.1.1.1.2.2.2.1.cmml" xref="S3.E4.m1.5.5.1.1.1.1.2.2.2">subscript</csymbol><ci id="S3.E4.m1.5.5.1.1.1.1.2.2.2.2.cmml" xref="S3.E4.m1.5.5.1.1.1.1.2.2.2.2">𝑉</ci><ci id="S3.E4.m1.5.5.1.1.1.1.2.2.2.3.cmml" xref="S3.E4.m1.5.5.1.1.1.1.2.2.2.3">𝐷</ci></apply></apply></apply></apply><apply id="S3.E4.m1.5.5c.cmml" xref="S3.E4.m1.5.5"><in id="S3.E4.m1.5.5.5.cmml" xref="S3.E4.m1.5.5.5"></in><share href="https://arxiv.org/html/2407.10389v3#S3.E4.m1.5.5.1.cmml" id="S3.E4.m1.5.5d.cmml" xref="S3.E4.m1.5.5"></share><ci id="S3.E4.m1.5.5.6.cmml" xref="S3.E4.m1.5.5.6">ℝ</ci></apply></apply></annotation-xml><annotation encoding="application/x-tex" id="S3.E4.m1.5c">\sigma_{D,p}=\operatorname{act}(\operatorname{interpolate}(\mathbf{x}_{p},V_{D% }))\in\mathbb{R}</annotation><annotation encoding="application/x-llamapun" id="S3.E4.m1.5d">italic_σ start_POSTSUBSCRIPT italic_D , italic_p end_POSTSUBSCRIPT = roman_act ( roman_interpolate ( bold_x start_POSTSUBSCRIPT italic_p end_POSTSUBSCRIPT , italic_V start_POSTSUBSCRIPT italic_D end_POSTSUBSCRIPT ) ) ∈ blackboard_R</annotation></semantics></math></td> <td class="ltx_eqn_cell ltx_eqn_center_padright"></td> <td class="ltx_eqn_cell ltx_eqn_eqno ltx_align_middle ltx_align_right" rowspan="1">(4)</td> </tr></tbody> </table> where <math alttext="\operatorname{act}" class="ltx_Math" display="inline" id="S3.SS2.p2.1.m1.1"><semantics id="S3.SS2.p2.1.m1.1a"><mi id="S3.SS2.p2.1.m1.1.1" xref="S3.SS2.p2.1.m1.1.1.cmml">act</mi><annotation-xml encoding="MathML-Content" id="S3.SS2.p2.1.m1.1b"><ci id="S3.SS2.p2.1.m1.1.1.cmml" xref="S3.SS2.p2.1.m1.1.1">act</ci></annotation-xml><annotation encoding="application/x-tex" id="S3.SS2.p2.1.m1.1c">\operatorname{act}</annotation><annotation encoding="application/x-llamapun" id="S3.SS2.p2.1.m1.1d">roman_act</annotation></semantics></math> represents a density activation function (such as softplus). We denote with <math alttext="\mathbf{x_{f}\in\mathbb{missing}}{R}^{3}" class="ltx_Math" display="inline" id="S3.SS2.p2.2.m2.1"><semantics id="S3.SS2.p2.2.m2.1a"><mrow id="S3.SS2.p2.2.m2.1.1" xref="S3.SS2.p2.2.m2.1.1.cmml"><msub id="S3.SS2.p2.2.m2.1.1.2" xref="S3.SS2.p2.2.m2.1.1.2.cmml"><mi id="S3.SS2.p2.2.m2.1.1.2.2" xref="S3.SS2.p2.2.m2.1.1.2.2.cmml">𝐱</mi><mi id="S3.SS2.p2.2.m2.1.1.2.3" xref="S3.SS2.p2.2.m2.1.1.2.3.cmml">𝐟</mi></msub><mo id="S3.SS2.p2.2.m2.1.1.1" xref="S3.SS2.p2.2.m2.1.1.1.cmml">∈</mo><mrow id="S3.SS2.p2.2.m2.1.1.3" xref="S3.SS2.p2.2.m2.1.1.3.cmml"><mi id="S3.SS2.p2.2.m2.1.1.3.2" xref="S3.SS2.p2.2.m2.1.1.3.2.cmml">missing</mi><mo id="S3.SS2.p2.2.m2.1.1.3.1" xref="S3.SS2.p2.2.m2.1.1.3.1.cmml">⁢</mo><msup id="S3.SS2.p2.2.m2.1.1.3.3" xref="S3.SS2.p2.2.m2.1.1.3.3.cmml"><mi id="S3.SS2.p2.2.m2.1.1.3.3.2" xref="S3.SS2.p2.2.m2.1.1.3.3.2.cmml">R</mi><mn id="S3.SS2.p2.2.m2.1.1.3.3.3" xref="S3.SS2.p2.2.m2.1.1.3.3.3.cmml">3</mn></msup></mrow></mrow><annotation-xml encoding="MathML-Content" id="S3.SS2.p2.2.m2.1b"><apply id="S3.SS2.p2.2.m2.1.1.cmml" xref="S3.SS2.p2.2.m2.1.1"><in id="S3.SS2.p2.2.m2.1.1.1.cmml" xref="S3.SS2.p2.2.m2.1.1.1"></in><apply id="S3.SS2.p2.2.m2.1.1.2.cmml" xref="S3.SS2.p2.2.m2.1.1.2"><csymbol cd="ambiguous" id="S3.SS2.p2.2.m2.1.1.2.1.cmml" xref="S3.SS2.p2.2.m2.1.1.2">subscript</csymbol><ci id="S3.SS2.p2.2.m2.1.1.2.2.cmml" xref="S3.SS2.p2.2.m2.1.1.2.2">𝐱</ci><ci id="S3.SS2.p2.2.m2.1.1.2.3.cmml" xref="S3.SS2.p2.2.m2.1.1.2.3">𝐟</ci></apply><apply id="S3.SS2.p2.2.m2.1.1.3.cmml" xref="S3.SS2.p2.2.m2.1.1.3"><times id="S3.SS2.p2.2.m2.1.1.3.1.cmml" xref="S3.SS2.p2.2.m2.1.1.3.1"></times><ci id="S3.SS2.p2.2.m2.1.1.3.2.cmml" xref="S3.SS2.p2.2.m2.1.1.3.2">missing</ci><apply id="S3.SS2.p2.2.m2.1.1.3.3.cmml" xref="S3.SS2.p2.2.m2.1.1.3.3"><csymbol cd="ambiguous" id="S3.SS2.p2.2.m2.1.1.3.3.1.cmml" xref="S3.SS2.p2.2.m2.1.1.3.3">superscript</csymbol><ci id="S3.SS2.p2.2.m2.1.1.3.3.2.cmml" xref="S3.SS2.p2.2.m2.1.1.3.3.2">𝑅</ci><cn id="S3.SS2.p2.2.m2.1.1.3.3.3.cmml" type="integer" xref="S3.SS2.p2.2.m2.1.1.3.3.3">3</cn></apply></apply></apply></annotation-xml><annotation encoding="application/x-tex" id="S3.SS2.p2.2.m2.1c">\mathbf{x_{f}\in\mathbb{missing}}{R}^{3}</annotation><annotation encoding="application/x-llamapun" id="S3.SS2.p2.2.m2.1d">bold_x start_POSTSUBSCRIPT bold_f end_POSTSUBSCRIPT ∈ roman_missing italic_R start_POSTSUPERSCRIPT 3 end_POSTSUPERSCRIPT</annotation></semantics></math> a remaining point after the filtering operation. </div> </section> <section class="ltx_subsection" id="S3.SS3"> <h3 class="ltx_title ltx_title_subsection"> 3.3 Trainable Gating Model</h3> <div class="ltx_para" id="S3.SS3.p1"> Our gating mechanism incorporates a hybrid architecture: an explicit feature grid <math alttext="\mathbf{V}_{G}" class="ltx_Math" display="inline" id="S3.SS3.p1.1.m1.1"><semantics id="S3.SS3.p1.1.m1.1a"><msub id="S3.SS3.p1.1.m1.1.1" xref="S3.SS3.p1.1.m1.1.1.cmml"><mi id="S3.SS3.p1.1.m1.1.1.2" xref="S3.SS3.p1.1.m1.1.1.2.cmml">𝐕</mi><mi id="S3.SS3.p1.1.m1.1.1.3" xref="S3.SS3.p1.1.m1.1.1.3.cmml">G</mi></msub><annotation-xml encoding="MathML-Content" id="S3.SS3.p1.1.m1.1b"><apply id="S3.SS3.p1.1.m1.1.1.cmml" xref="S3.SS3.p1.1.m1.1.1"><csymbol cd="ambiguous" id="S3.SS3.p1.1.m1.1.1.1.cmml" xref="S3.SS3.p1.1.m1.1.1">subscript</csymbol><ci id="S3.SS3.p1.1.m1.1.1.2.cmml" xref="S3.SS3.p1.1.m1.1.1.2">𝐕</ci><ci id="S3.SS3.p1.1.m1.1.1.3.cmml" xref="S3.SS3.p1.1.m1.1.1.3">𝐺</ci></apply></annotation-xml><annotation encoding="application/x-tex" id="S3.SS3.p1.1.m1.1c">\mathbf{V}_{G}</annotation><annotation encoding="application/x-llamapun" id="S3.SS3.p1.1.m1.1d">bold_V start_POSTSUBSCRIPT italic_G end_POSTSUBSCRIPT</annotation></semantics></math> and a shallow MLP. The gating mechanism can also be seen as a probability field. First, we compute per-point features: <table class="ltx_equation ltx_eqn_table" id="S3.E5"> <tbody><tr class="ltx_equation ltx_eqn_row ltx_align_baseline"> <td class="ltx_eqn_cell ltx_eqn_center_padleft"></td> <td class="ltx_eqn_cell ltx_align_center"><math alttext="\mathbf{feat}=\operatorname{interpolate}(\mathbf{x}_{f},\mathbf{V}_{G})\in% \mathbb{R}^{C}" class="ltx_Math" display="block" id="S3.E5.m1.3"><semantics id="S3.E5.m1.3a"><mrow id="S3.E5.m1.3.3" xref="S3.E5.m1.3.3.cmml"><mi id="S3.E5.m1.3.3.4" xref="S3.E5.m1.3.3.4.cmml">𝐟𝐞𝐚𝐭</mi><mo id="S3.E5.m1.3.3.5" xref="S3.E5.m1.3.3.5.cmml">=</mo><mrow id="S3.E5.m1.3.3.2.2" xref="S3.E5.m1.3.3.2.3.cmml"><mi id="S3.E5.m1.1.1" xref="S3.E5.m1.1.1.cmml">interpolate</mi><mo id="S3.E5.m1.3.3.2.2a" xref="S3.E5.m1.3.3.2.3.cmml">⁡</mo><mrow id="S3.E5.m1.3.3.2.2.2" xref="S3.E5.m1.3.3.2.3.cmml"><mo id="S3.E5.m1.3.3.2.2.2.3" stretchy="false" xref="S3.E5.m1.3.3.2.3.cmml">(</mo><msub id="S3.E5.m1.2.2.1.1.1.1" xref="S3.E5.m1.2.2.1.1.1.1.cmml"><mi id="S3.E5.m1.2.2.1.1.1.1.2" xref="S3.E5.m1.2.2.1.1.1.1.2.cmml">𝐱</mi><mi id="S3.E5.m1.2.2.1.1.1.1.3" xref="S3.E5.m1.2.2.1.1.1.1.3.cmml">f</mi></msub><mo id="S3.E5.m1.3.3.2.2.2.4" xref="S3.E5.m1.3.3.2.3.cmml">,</mo><msub id="S3.E5.m1.3.3.2.2.2.2" xref="S3.E5.m1.3.3.2.2.2.2.cmml"><mi id="S3.E5.m1.3.3.2.2.2.2.2" xref="S3.E5.m1.3.3.2.2.2.2.2.cmml">𝐕</mi><mi id="S3.E5.m1.3.3.2.2.2.2.3" xref="S3.E5.m1.3.3.2.2.2.2.3.cmml">G</mi></msub><mo id="S3.E5.m1.3.3.2.2.2.5" stretchy="false" xref="S3.E5.m1.3.3.2.3.cmml">)</mo></mrow></mrow><mo id="S3.E5.m1.3.3.6" xref="S3.E5.m1.3.3.6.cmml">∈</mo><msup id="S3.E5.m1.3.3.7" xref="S3.E5.m1.3.3.7.cmml"><mi id="S3.E5.m1.3.3.7.2" xref="S3.E5.m1.3.3.7.2.cmml">ℝ</mi><mi id="S3.E5.m1.3.3.7.3" xref="S3.E5.m1.3.3.7.3.cmml">C</mi></msup></mrow><annotation-xml encoding="MathML-Content" id="S3.E5.m1.3b"><apply id="S3.E5.m1.3.3.cmml" xref="S3.E5.m1.3.3"><and id="S3.E5.m1.3.3a.cmml" xref="S3.E5.m1.3.3"></and><apply id="S3.E5.m1.3.3b.cmml" xref="S3.E5.m1.3.3"><eq id="S3.E5.m1.3.3.5.cmml" xref="S3.E5.m1.3.3.5"></eq><ci id="S3.E5.m1.3.3.4.cmml" xref="S3.E5.m1.3.3.4">𝐟𝐞𝐚𝐭</ci><apply id="S3.E5.m1.3.3.2.3.cmml" xref="S3.E5.m1.3.3.2.2"><ci id="S3.E5.m1.1.1.cmml" xref="S3.E5.m1.1.1">interpolate</ci><apply id="S3.E5.m1.2.2.1.1.1.1.cmml" xref="S3.E5.m1.2.2.1.1.1.1"><csymbol cd="ambiguous" id="S3.E5.m1.2.2.1.1.1.1.1.cmml" xref="S3.E5.m1.2.2.1.1.1.1">subscript</csymbol><ci id="S3.E5.m1.2.2.1.1.1.1.2.cmml" xref="S3.E5.m1.2.2.1.1.1.1.2">𝐱</ci><ci id="S3.E5.m1.2.2.1.1.1.1.3.cmml" xref="S3.E5.m1.2.2.1.1.1.1.3">𝑓</ci></apply><apply id="S3.E5.m1.3.3.2.2.2.2.cmml" xref="S3.E5.m1.3.3.2.2.2.2"><csymbol cd="ambiguous" id="S3.E5.m1.3.3.2.2.2.2.1.cmml" xref="S3.E5.m1.3.3.2.2.2.2">subscript</csymbol><ci id="S3.E5.m1.3.3.2.2.2.2.2.cmml" xref="S3.E5.m1.3.3.2.2.2.2.2">𝐕</ci><ci id="S3.E5.m1.3.3.2.2.2.2.3.cmml" xref="S3.E5.m1.3.3.2.2.2.2.3">𝐺</ci></apply></apply></apply><apply id="S3.E5.m1.3.3c.cmml" xref="S3.E5.m1.3.3"><in id="S3.E5.m1.3.3.6.cmml" xref="S3.E5.m1.3.3.6"></in><share href="https://arxiv.org/html/2407.10389v3#S3.E5.m1.3.3.2.cmml" id="S3.E5.m1.3.3d.cmml" xref="S3.E5.m1.3.3"></share><apply id="S3.E5.m1.3.3.7.cmml" xref="S3.E5.m1.3.3.7"><csymbol cd="ambiguous" id="S3.E5.m1.3.3.7.1.cmml" xref="S3.E5.m1.3.3.7">superscript</csymbol><ci id="S3.E5.m1.3.3.7.2.cmml" xref="S3.E5.m1.3.3.7.2">ℝ</ci><ci id="S3.E5.m1.3.3.7.3.cmml" xref="S3.E5.m1.3.3.7.3">𝐶</ci></apply></apply></apply></annotation-xml><annotation encoding="application/x-tex" id="S3.E5.m1.3c">\mathbf{feat}=\operatorname{interpolate}(\mathbf{x}_{f},\mathbf{V}_{G})\in% \mathbb{R}^{C}</annotation><annotation encoding="application/x-llamapun" id="S3.E5.m1.3d">bold_feat = roman_interpolate ( bold_x start_POSTSUBSCRIPT italic_f end_POSTSUBSCRIPT , bold_V start_POSTSUBSCRIPT italic_G end_POSTSUBSCRIPT ) ∈ blackboard_R start_POSTSUPERSCRIPT italic_C end_POSTSUPERSCRIPT</annotation></semantics></math></td> <td class="ltx_eqn_cell ltx_eqn_center_padright"></td> <td class="ltx_eqn_cell ltx_eqn_eqno ltx_align_middle ltx_align_right" rowspan="1">(5)</td> </tr></tbody> </table> where <math alttext="C" class="ltx_Math" display="inline" id="S3.SS3.p1.2.m1.1"><semantics id="S3.SS3.p1.2.m1.1a"><mi id="S3.SS3.p1.2.m1.1.1" xref="S3.SS3.p1.2.m1.1.1.cmml">C</mi><annotation-xml encoding="MathML-Content" id="S3.SS3.p1.2.m1.1b"><ci id="S3.SS3.p1.2.m1.1.1.cmml" xref="S3.SS3.p1.2.m1.1.1">𝐶</ci></annotation-xml><annotation encoding="application/x-tex" id="S3.SS3.p1.2.m1.1c">C</annotation><annotation encoding="application/x-llamapun" id="S3.SS3.p1.2.m1.1d">italic_C</annotation></semantics></math> represents the number of channels of <math alttext="\mathbf{V}_{G}" class="ltx_Math" display="inline" id="S3.SS3.p1.3.m2.1"><semantics id="S3.SS3.p1.3.m2.1a"><msub id="S3.SS3.p1.3.m2.1.1" xref="S3.SS3.p1.3.m2.1.1.cmml"><mi id="S3.SS3.p1.3.m2.1.1.2" xref="S3.SS3.p1.3.m2.1.1.2.cmml">𝐕</mi><mi id="S3.SS3.p1.3.m2.1.1.3" xref="S3.SS3.p1.3.m2.1.1.3.cmml">G</mi></msub><annotation-xml encoding="MathML-Content" id="S3.SS3.p1.3.m2.1b"><apply id="S3.SS3.p1.3.m2.1.1.cmml" xref="S3.SS3.p1.3.m2.1.1"><csymbol cd="ambiguous" id="S3.SS3.p1.3.m2.1.1.1.cmml" xref="S3.SS3.p1.3.m2.1.1">subscript</csymbol><ci id="S3.SS3.p1.3.m2.1.1.2.cmml" xref="S3.SS3.p1.3.m2.1.1.2">𝐕</ci><ci id="S3.SS3.p1.3.m2.1.1.3.cmml" xref="S3.SS3.p1.3.m2.1.1.3">𝐺</ci></apply></annotation-xml><annotation encoding="application/x-tex" id="S3.SS3.p1.3.m2.1c">\mathbf{V}_{G}</annotation><annotation encoding="application/x-llamapun" id="S3.SS3.p1.3.m2.1d">bold_V start_POSTSUBSCRIPT italic_G end_POSTSUBSCRIPT</annotation></semantics></math>. Subsequently, we transform each feature into a probability. We compute logits as </div> <div class="ltx_para" id="S3.SS3.p2"> <table class="ltx_equation ltx_eqn_table" id="S3.E6"> <tbody><tr class="ltx_equation ltx_eqn_row ltx_align_baseline"> <td class="ltx_eqn_cell ltx_eqn_center_padleft"></td> <td class="ltx_eqn_cell ltx_align_center"><math alttext="\mathbf{logits}=\operatorname{MLP}(\mathbf{feat})\in\mathbb{R}^{M}" class="ltx_Math" display="block" id="S3.E6.m1.2"><semantics id="S3.E6.m1.2a"><mrow id="S3.E6.m1.2.3" xref="S3.E6.m1.2.3.cmml"><mi id="S3.E6.m1.2.3.2" xref="S3.E6.m1.2.3.2.cmml">𝐥𝐨𝐠𝐢𝐭𝐬</mi><mo id="S3.E6.m1.2.3.3" xref="S3.E6.m1.2.3.3.cmml">=</mo><mrow id="S3.E6.m1.2.3.4.2" xref="S3.E6.m1.2.3.4.1.cmml"><mi id="S3.E6.m1.1.1" xref="S3.E6.m1.1.1.cmml">MLP</mi><mo id="S3.E6.m1.2.3.4.2a" xref="S3.E6.m1.2.3.4.1.cmml">⁡</mo><mrow id="S3.E6.m1.2.3.4.2.1" xref="S3.E6.m1.2.3.4.1.cmml"><mo id="S3.E6.m1.2.3.4.2.1.1" stretchy="false" xref="S3.E6.m1.2.3.4.1.cmml">(</mo><mi id="S3.E6.m1.2.2" xref="S3.E6.m1.2.2.cmml">𝐟𝐞𝐚𝐭</mi><mo id="S3.E6.m1.2.3.4.2.1.2" stretchy="false" xref="S3.E6.m1.2.3.4.1.cmml">)</mo></mrow></mrow><mo id="S3.E6.m1.2.3.5" xref="S3.E6.m1.2.3.5.cmml">∈</mo><msup id="S3.E6.m1.2.3.6" xref="S3.E6.m1.2.3.6.cmml"><mi id="S3.E6.m1.2.3.6.2" xref="S3.E6.m1.2.3.6.2.cmml">ℝ</mi><mi id="S3.E6.m1.2.3.6.3" xref="S3.E6.m1.2.3.6.3.cmml">M</mi></msup></mrow><annotation-xml encoding="MathML-Content" id="S3.E6.m1.2b"><apply id="S3.E6.m1.2.3.cmml" xref="S3.E6.m1.2.3"><and id="S3.E6.m1.2.3a.cmml" xref="S3.E6.m1.2.3"></and><apply id="S3.E6.m1.2.3b.cmml" xref="S3.E6.m1.2.3"><eq id="S3.E6.m1.2.3.3.cmml" xref="S3.E6.m1.2.3.3"></eq><ci id="S3.E6.m1.2.3.2.cmml" xref="S3.E6.m1.2.3.2">𝐥𝐨𝐠𝐢𝐭𝐬</ci><apply id="S3.E6.m1.2.3.4.1.cmml" xref="S3.E6.m1.2.3.4.2"><ci id="S3.E6.m1.1.1.cmml" xref="S3.E6.m1.1.1">MLP</ci><ci id="S3.E6.m1.2.2.cmml" xref="S3.E6.m1.2.2">𝐟𝐞𝐚𝐭</ci></apply></apply><apply id="S3.E6.m1.2.3c.cmml" xref="S3.E6.m1.2.3"><in id="S3.E6.m1.2.3.5.cmml" xref="S3.E6.m1.2.3.5"></in><share href="https://arxiv.org/html/2407.10389v3#S3.E6.m1.2.3.4.cmml" id="S3.E6.m1.2.3d.cmml" xref="S3.E6.m1.2.3"></share><apply id="S3.E6.m1.2.3.6.cmml" xref="S3.E6.m1.2.3.6"><csymbol cd="ambiguous" id="S3.E6.m1.2.3.6.1.cmml" xref="S3.E6.m1.2.3.6">superscript</csymbol><ci id="S3.E6.m1.2.3.6.2.cmml" xref="S3.E6.m1.2.3.6.2">ℝ</ci><ci id="S3.E6.m1.2.3.6.3.cmml" xref="S3.E6.m1.2.3.6.3">𝑀</ci></apply></apply></apply></annotation-xml><annotation encoding="application/x-tex" id="S3.E6.m1.2c">\mathbf{logits}=\operatorname{MLP}(\mathbf{feat})\in\mathbb{R}^{M}</annotation><annotation encoding="application/x-llamapun" id="S3.E6.m1.2d">bold_logits = roman_MLP ( bold_feat ) ∈ blackboard_R start_POSTSUPERSCRIPT italic_M end_POSTSUPERSCRIPT</annotation></semantics></math></td> <td class="ltx_eqn_cell ltx_eqn_center_padright"></td> <td class="ltx_eqn_cell ltx_eqn_eqno ltx_align_middle ltx_align_right" rowspan="1">(6)</td> </tr></tbody> </table> where <math alttext="M" class="ltx_Math" display="inline" id="S3.SS3.p2.1.m1.1"><semantics id="S3.SS3.p2.1.m1.1a"><mi id="S3.SS3.p2.1.m1.1.1" xref="S3.SS3.p2.1.m1.1.1.cmml">M</mi><annotation-xml encoding="MathML-Content" id="S3.SS3.p2.1.m1.1b"><ci id="S3.SS3.p2.1.m1.1.1.cmml" xref="S3.SS3.p2.1.m1.1.1">𝑀</ci></annotation-xml><annotation encoding="application/x-tex" id="S3.SS3.p2.1.m1.1c">M</annotation><annotation encoding="application/x-llamapun" id="S3.SS3.p2.1.m1.1d">italic_M</annotation></semantics></math> is the number of experts in the mixture of experts. Finally, we apply a per-row softmax. 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id="S3.E7.m1.4.4.1.1.1.1.2" xref="S3.E7.m1.4.4.1.1.1.1.2.cmml">𝐱</mi><mi id="S3.E7.m1.4.4.1.1.1.1.3" xref="S3.E7.m1.4.4.1.1.1.1.3.cmml">𝐟</mi></msub><mo id="S3.E7.m1.4.4.1.1.1.3" stretchy="false" xref="S3.E7.m1.4.4.1.1.1.1.cmml">)</mo></mrow></mrow><mo id="S3.E7.m1.5.5.4" xref="S3.E7.m1.5.5.4.cmml">=</mo><mrow id="S3.E7.m1.5.5.2.1" xref="S3.E7.m1.5.5.2.2.cmml"><mi id="S3.E7.m1.3.3" xref="S3.E7.m1.3.3.cmml">softmax</mi><mo id="S3.E7.m1.5.5.2.1a" xref="S3.E7.m1.5.5.2.2.cmml">⁡</mo><mrow id="S3.E7.m1.5.5.2.1.1" xref="S3.E7.m1.5.5.2.2.cmml"><mo id="S3.E7.m1.5.5.2.1.1.2" stretchy="false" xref="S3.E7.m1.5.5.2.2.cmml">(</mo><mrow id="S3.E7.m1.5.5.2.1.1.1.1" xref="S3.E7.m1.5.5.2.1.1.1.2.cmml"><mi id="S3.E7.m1.2.2" xref="S3.E7.m1.2.2.cmml">MLP</mi><mo id="S3.E7.m1.5.5.2.1.1.1.1a" xref="S3.E7.m1.5.5.2.1.1.1.2.cmml">⁡</mo><mrow id="S3.E7.m1.5.5.2.1.1.1.1.1" xref="S3.E7.m1.5.5.2.1.1.1.2.cmml"><mo id="S3.E7.m1.5.5.2.1.1.1.1.1.2" stretchy="false" xref="S3.E7.m1.5.5.2.1.1.1.2.cmml">(</mo><mrow 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id="S3.E7.m1.5.5.6.cmml" xref="S3.E7.m1.5.5.6"><csymbol cd="ambiguous" id="S3.E7.m1.5.5.6.1.cmml" xref="S3.E7.m1.5.5.6">superscript</csymbol><ci id="S3.E7.m1.5.5.6.2.cmml" xref="S3.E7.m1.5.5.6.2">ℝ</ci><ci id="S3.E7.m1.5.5.6.3.cmml" xref="S3.E7.m1.5.5.6.3">𝑀</ci></apply></apply></apply></annotation-xml><annotation encoding="application/x-tex" id="S3.E7.m1.5c">G(\mathbf{\mathbf{x}_{f}})=\operatorname{softmax}(\operatorname{MLP}(% \operatorname{interpolate}(\mathbf{x}_{f},\mathbf{V}_{G})))\in\mathbb{R}^{M}</annotation><annotation encoding="application/x-llamapun" id="S3.E7.m1.5d">italic_G ( bold_x start_POSTSUBSCRIPT bold_f end_POSTSUBSCRIPT ) = roman_softmax ( roman_MLP ( roman_interpolate ( bold_x start_POSTSUBSCRIPT italic_f end_POSTSUBSCRIPT , bold_V start_POSTSUBSCRIPT italic_G end_POSTSUBSCRIPT ) ) ) ∈ blackboard_R start_POSTSUPERSCRIPT italic_M end_POSTSUPERSCRIPT</annotation></semantics></math></td> <td class="ltx_eqn_cell ltx_eqn_center_padright"></td> <td class="ltx_eqn_cell ltx_eqn_eqno ltx_align_middle ltx_align_right" rowspan="1">(7)</td> </tr></tbody> </table> </div> </section> <section class="ltx_subsection" id="S3.SS4"> <h3 class="ltx_title ltx_title_subsection"> 3.4 NeRFs Experts</h3> <div class="ltx_para" id="S3.SS4.p1"> As mentioned in Sec. <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S3.SS1" title="3.1 Overview ‣ 3 Method ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">3.1</a>, we employ a set of <math alttext="M" class="ltx_Math" display="inline" id="S3.SS4.p1.1.m1.1"><semantics id="S3.SS4.p1.1.m1.1a"><mi id="S3.SS4.p1.1.m1.1.1" xref="S3.SS4.p1.1.m1.1.1.cmml">M</mi><annotation-xml encoding="MathML-Content" id="S3.SS4.p1.1.m1.1b"><ci id="S3.SS4.p1.1.m1.1.1.cmml" xref="S3.SS4.p1.1.m1.1.1">𝑀</ci></annotation-xml><annotation encoding="application/x-tex" id="S3.SS4.p1.1.m1.1c">M</annotation><annotation encoding="application/x-llamapun" id="S3.SS4.p1.1.m1.1d">italic_M</annotation></semantics></math> pretrained NeRFs models as experts. After feeding as input each point <math alttext="\mathbf{x}_{f}" class="ltx_Math" display="inline" id="S3.SS4.p1.2.m2.1"><semantics id="S3.SS4.p1.2.m2.1a"><msub id="S3.SS4.p1.2.m2.1.1" xref="S3.SS4.p1.2.m2.1.1.cmml"><mi id="S3.SS4.p1.2.m2.1.1.2" xref="S3.SS4.p1.2.m2.1.1.2.cmml">𝐱</mi><mi id="S3.SS4.p1.2.m2.1.1.3" xref="S3.SS4.p1.2.m2.1.1.3.cmml">f</mi></msub><annotation-xml encoding="MathML-Content" id="S3.SS4.p1.2.m2.1b"><apply id="S3.SS4.p1.2.m2.1.1.cmml" xref="S3.SS4.p1.2.m2.1.1"><csymbol cd="ambiguous" id="S3.SS4.p1.2.m2.1.1.1.cmml" xref="S3.SS4.p1.2.m2.1.1">subscript</csymbol><ci id="S3.SS4.p1.2.m2.1.1.2.cmml" xref="S3.SS4.p1.2.m2.1.1.2">𝐱</ci><ci id="S3.SS4.p1.2.m2.1.1.3.cmml" xref="S3.SS4.p1.2.m2.1.1.3">𝑓</ci></apply></annotation-xml><annotation encoding="application/x-tex" id="S3.SS4.p1.2.m2.1c">\mathbf{x}_{f}</annotation><annotation encoding="application/x-llamapun" id="S3.SS4.p1.2.m2.1d">bold_x start_POSTSUBSCRIPT italic_f end_POSTSUBSCRIPT</annotation></semantics></math> to the gate, we route them to the <math alttext="k" class="ltx_Math" display="inline" id="S3.SS4.p1.3.m3.1"><semantics id="S3.SS4.p1.3.m3.1a"><mi id="S3.SS4.p1.3.m3.1.1" xref="S3.SS4.p1.3.m3.1.1.cmml">k</mi><annotation-xml encoding="MathML-Content" id="S3.SS4.p1.3.m3.1b"><ci id="S3.SS4.p1.3.m3.1.1.cmml" xref="S3.SS4.p1.3.m3.1.1">𝑘</ci></annotation-xml><annotation encoding="application/x-tex" id="S3.SS4.p1.3.m3.1c">k</annotation><annotation encoding="application/x-llamapun" id="S3.SS4.p1.3.m3.1d">italic_k</annotation></semantics></math> experts with the <math alttext="k" class="ltx_Math" display="inline" id="S3.SS4.p1.4.m4.1"><semantics id="S3.SS4.p1.4.m4.1a"><mi id="S3.SS4.p1.4.m4.1.1" xref="S3.SS4.p1.4.m4.1.1.cmml">k</mi><annotation-xml encoding="MathML-Content" id="S3.SS4.p1.4.m4.1b"><ci id="S3.SS4.p1.4.m4.1.1.cmml" xref="S3.SS4.p1.4.m4.1.1">𝑘</ci></annotation-xml><annotation encoding="application/x-tex" id="S3.SS4.p1.4.m4.1c">k</annotation><annotation encoding="application/x-llamapun" id="S3.SS4.p1.4.m4.1d">italic_k</annotation></semantics></math> highest probabilities <math alttext="G(\mathbf{x}_{f})" class="ltx_Math" display="inline" id="S3.SS4.p1.5.m5.1"><semantics id="S3.SS4.p1.5.m5.1a"><mrow id="S3.SS4.p1.5.m5.1.1" xref="S3.SS4.p1.5.m5.1.1.cmml"><mi id="S3.SS4.p1.5.m5.1.1.3" xref="S3.SS4.p1.5.m5.1.1.3.cmml">G</mi><mo id="S3.SS4.p1.5.m5.1.1.2" xref="S3.SS4.p1.5.m5.1.1.2.cmml">⁢</mo><mrow id="S3.SS4.p1.5.m5.1.1.1.1" xref="S3.SS4.p1.5.m5.1.1.1.1.1.cmml"><mo id="S3.SS4.p1.5.m5.1.1.1.1.2" stretchy="false" xref="S3.SS4.p1.5.m5.1.1.1.1.1.cmml">(</mo><msub id="S3.SS4.p1.5.m5.1.1.1.1.1" xref="S3.SS4.p1.5.m5.1.1.1.1.1.cmml"><mi id="S3.SS4.p1.5.m5.1.1.1.1.1.2" xref="S3.SS4.p1.5.m5.1.1.1.1.1.2.cmml">𝐱</mi><mi id="S3.SS4.p1.5.m5.1.1.1.1.1.3" xref="S3.SS4.p1.5.m5.1.1.1.1.1.3.cmml">f</mi></msub><mo id="S3.SS4.p1.5.m5.1.1.1.1.3" stretchy="false" xref="S3.SS4.p1.5.m5.1.1.1.1.1.cmml">)</mo></mrow></mrow><annotation-xml encoding="MathML-Content" id="S3.SS4.p1.5.m5.1b"><apply id="S3.SS4.p1.5.m5.1.1.cmml" xref="S3.SS4.p1.5.m5.1.1"><times id="S3.SS4.p1.5.m5.1.1.2.cmml" xref="S3.SS4.p1.5.m5.1.1.2"></times><ci id="S3.SS4.p1.5.m5.1.1.3.cmml" xref="S3.SS4.p1.5.m5.1.1.3">𝐺</ci><apply id="S3.SS4.p1.5.m5.1.1.1.1.1.cmml" xref="S3.SS4.p1.5.m5.1.1.1.1"><csymbol cd="ambiguous" id="S3.SS4.p1.5.m5.1.1.1.1.1.1.cmml" xref="S3.SS4.p1.5.m5.1.1.1.1">subscript</csymbol><ci id="S3.SS4.p1.5.m5.1.1.1.1.1.2.cmml" xref="S3.SS4.p1.5.m5.1.1.1.1.1.2">𝐱</ci><ci id="S3.SS4.p1.5.m5.1.1.1.1.1.3.cmml" xref="S3.SS4.p1.5.m5.1.1.1.1.1.3">𝑓</ci></apply></apply></annotation-xml><annotation encoding="application/x-tex" id="S3.SS4.p1.5.m5.1c">G(\mathbf{x}_{f})</annotation><annotation encoding="application/x-llamapun" id="S3.SS4.p1.5.m5.1d">italic_G ( bold_x start_POSTSUBSCRIPT italic_f end_POSTSUBSCRIPT )</annotation></semantics></math>. We define this set of indexes of the selected experts as <table class="ltx_equation ltx_eqn_table" id="S3.E8"> <tbody><tr class="ltx_equation ltx_eqn_row ltx_align_baseline"> <td class="ltx_eqn_cell ltx_eqn_center_padleft"></td> <td class="ltx_eqn_cell ltx_align_center"><math alttext="\mathcal{K}=\operatorname*{argmax}_{Top-k}(G(\mathbf{x}_{f}))." class="ltx_Math" display="block" id="S3.E8.m1.1"><semantics id="S3.E8.m1.1a"><mrow id="S3.E8.m1.1.1.1" xref="S3.E8.m1.1.1.1.1.cmml"><mrow id="S3.E8.m1.1.1.1.1" xref="S3.E8.m1.1.1.1.1.cmml"><mi class="ltx_font_mathcaligraphic" id="S3.E8.m1.1.1.1.1.4" xref="S3.E8.m1.1.1.1.1.4.cmml">𝒦</mi><mo id="S3.E8.m1.1.1.1.1.3" rspace="0.1389em" xref="S3.E8.m1.1.1.1.1.3.cmml">=</mo><mrow id="S3.E8.m1.1.1.1.1.2.2" xref="S3.E8.m1.1.1.1.1.2.3.cmml"><munder id="S3.E8.m1.1.1.1.1.1.1.1" xref="S3.E8.m1.1.1.1.1.1.1.1.cmml"><mo id="S3.E8.m1.1.1.1.1.1.1.1.2" lspace="0.1389em" rspace="0em" xref="S3.E8.m1.1.1.1.1.1.1.1.2.cmml">argmax</mo><mrow 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id="S3.E8.m1.1.1.1.1.2.2.2.1.3" xref="S3.E8.m1.1.1.1.1.2.2.2.1.3.cmml">G</mi><mo id="S3.E8.m1.1.1.1.1.2.2.2.1.2" xref="S3.E8.m1.1.1.1.1.2.2.2.1.2.cmml">⁢</mo><mrow id="S3.E8.m1.1.1.1.1.2.2.2.1.1.1" xref="S3.E8.m1.1.1.1.1.2.2.2.1.1.1.1.cmml"><mo id="S3.E8.m1.1.1.1.1.2.2.2.1.1.1.2" stretchy="false" xref="S3.E8.m1.1.1.1.1.2.2.2.1.1.1.1.cmml">(</mo><msub id="S3.E8.m1.1.1.1.1.2.2.2.1.1.1.1" xref="S3.E8.m1.1.1.1.1.2.2.2.1.1.1.1.cmml"><mi id="S3.E8.m1.1.1.1.1.2.2.2.1.1.1.1.2" xref="S3.E8.m1.1.1.1.1.2.2.2.1.1.1.1.2.cmml">𝐱</mi><mi id="S3.E8.m1.1.1.1.1.2.2.2.1.1.1.1.3" xref="S3.E8.m1.1.1.1.1.2.2.2.1.1.1.1.3.cmml">f</mi></msub><mo id="S3.E8.m1.1.1.1.1.2.2.2.1.1.1.3" stretchy="false" xref="S3.E8.m1.1.1.1.1.2.2.2.1.1.1.1.cmml">)</mo></mrow></mrow><mo id="S3.E8.m1.1.1.1.1.2.2.2.3" stretchy="false" xref="S3.E8.m1.1.1.1.1.2.3.cmml">)</mo></mrow></mrow></mrow><mo id="S3.E8.m1.1.1.1.2" lspace="0em" xref="S3.E8.m1.1.1.1.1.cmml">.</mo></mrow><annotation-xml encoding="MathML-Content" id="S3.E8.m1.1b"><apply id="S3.E8.m1.1.1.1.1.cmml" xref="S3.E8.m1.1.1.1"><eq id="S3.E8.m1.1.1.1.1.3.cmml" xref="S3.E8.m1.1.1.1.1.3"></eq><ci id="S3.E8.m1.1.1.1.1.4.cmml" xref="S3.E8.m1.1.1.1.1.4">𝒦</ci><apply id="S3.E8.m1.1.1.1.1.2.3.cmml" xref="S3.E8.m1.1.1.1.1.2.2"><apply id="S3.E8.m1.1.1.1.1.1.1.1.cmml" xref="S3.E8.m1.1.1.1.1.1.1.1"><csymbol cd="ambiguous" id="S3.E8.m1.1.1.1.1.1.1.1.1.cmml" xref="S3.E8.m1.1.1.1.1.1.1.1">subscript</csymbol><ci id="S3.E8.m1.1.1.1.1.1.1.1.2.cmml" xref="S3.E8.m1.1.1.1.1.1.1.1.2">argmax</ci><apply id="S3.E8.m1.1.1.1.1.1.1.1.3.cmml" xref="S3.E8.m1.1.1.1.1.1.1.1.3"><minus id="S3.E8.m1.1.1.1.1.1.1.1.3.1.cmml" xref="S3.E8.m1.1.1.1.1.1.1.1.3.1"></minus><apply id="S3.E8.m1.1.1.1.1.1.1.1.3.2.cmml" xref="S3.E8.m1.1.1.1.1.1.1.1.3.2"><times id="S3.E8.m1.1.1.1.1.1.1.1.3.2.1.cmml" xref="S3.E8.m1.1.1.1.1.1.1.1.3.2.1"></times><ci id="S3.E8.m1.1.1.1.1.1.1.1.3.2.2.cmml" xref="S3.E8.m1.1.1.1.1.1.1.1.3.2.2">𝑇</ci><ci id="S3.E8.m1.1.1.1.1.1.1.1.3.2.3.cmml" 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id="S3.E8.m1.1c">\mathcal{K}=\operatorname*{argmax}_{Top-k}(G(\mathbf{x}_{f})).</annotation><annotation encoding="application/x-llamapun" id="S3.E8.m1.1d">caligraphic_K = roman_argmax start_POSTSUBSCRIPT italic_T italic_o italic_p - italic_k end_POSTSUBSCRIPT ( italic_G ( bold_x start_POSTSUBSCRIPT italic_f end_POSTSUBSCRIPT ) ) .</annotation></semantics></math></td> <td class="ltx_eqn_cell ltx_eqn_center_padright"></td> <td class="ltx_eqn_cell ltx_eqn_eqno ltx_align_middle ltx_align_right" rowspan="1">(8)</td> </tr></tbody> </table> Each expert is a Fast-NeRF model that receives the dispatched points and the direction of the ray they lie on as input and outputs a density and a radiance value. We treat each expert as a black box, ensuring our method is inherently model-agnostic. The radiance <math alttext="\mathbf{c}_{f}" class="ltx_Math" display="inline" id="S3.SS4.p1.6.m1.1"><semantics id="S3.SS4.p1.6.m1.1a"><msub id="S3.SS4.p1.6.m1.1.1" xref="S3.SS4.p1.6.m1.1.1.cmml"><mi id="S3.SS4.p1.6.m1.1.1.2" xref="S3.SS4.p1.6.m1.1.1.2.cmml">𝐜</mi><mi id="S3.SS4.p1.6.m1.1.1.3" xref="S3.SS4.p1.6.m1.1.1.3.cmml">f</mi></msub><annotation-xml encoding="MathML-Content" id="S3.SS4.p1.6.m1.1b"><apply id="S3.SS4.p1.6.m1.1.1.cmml" xref="S3.SS4.p1.6.m1.1.1"><csymbol cd="ambiguous" id="S3.SS4.p1.6.m1.1.1.1.cmml" xref="S3.SS4.p1.6.m1.1.1">subscript</csymbol><ci id="S3.SS4.p1.6.m1.1.1.2.cmml" xref="S3.SS4.p1.6.m1.1.1.2">𝐜</ci><ci id="S3.SS4.p1.6.m1.1.1.3.cmml" xref="S3.SS4.p1.6.m1.1.1.3">𝑓</ci></apply></annotation-xml><annotation encoding="application/x-tex" id="S3.SS4.p1.6.m1.1c">\mathbf{c}_{f}</annotation><annotation encoding="application/x-llamapun" id="S3.SS4.p1.6.m1.1d">bold_c start_POSTSUBSCRIPT italic_f end_POSTSUBSCRIPT</annotation></semantics></math> and the density <math alttext="\sigma_{f}" class="ltx_Math" display="inline" id="S3.SS4.p1.7.m2.1"><semantics id="S3.SS4.p1.7.m2.1a"><msub id="S3.SS4.p1.7.m2.1.1" xref="S3.SS4.p1.7.m2.1.1.cmml"><mi id="S3.SS4.p1.7.m2.1.1.2" xref="S3.SS4.p1.7.m2.1.1.2.cmml">σ</mi><mi id="S3.SS4.p1.7.m2.1.1.3" xref="S3.SS4.p1.7.m2.1.1.3.cmml">f</mi></msub><annotation-xml encoding="MathML-Content" id="S3.SS4.p1.7.m2.1b"><apply id="S3.SS4.p1.7.m2.1.1.cmml" xref="S3.SS4.p1.7.m2.1.1"><csymbol cd="ambiguous" id="S3.SS4.p1.7.m2.1.1.1.cmml" xref="S3.SS4.p1.7.m2.1.1">subscript</csymbol><ci id="S3.SS4.p1.7.m2.1.1.2.cmml" xref="S3.SS4.p1.7.m2.1.1.2">𝜎</ci><ci id="S3.SS4.p1.7.m2.1.1.3.cmml" xref="S3.SS4.p1.7.m2.1.1.3">𝑓</ci></apply></annotation-xml><annotation encoding="application/x-tex" id="S3.SS4.p1.7.m2.1c">\sigma_{f}</annotation><annotation encoding="application/x-llamapun" id="S3.SS4.p1.7.m2.1d">italic_σ start_POSTSUBSCRIPT italic_f end_POSTSUBSCRIPT</annotation></semantics></math> for the point <math alttext="\mathbf{x}_{f}" class="ltx_Math" display="inline" id="S3.SS4.p1.8.m3.1"><semantics id="S3.SS4.p1.8.m3.1a"><msub id="S3.SS4.p1.8.m3.1.1" xref="S3.SS4.p1.8.m3.1.1.cmml"><mi id="S3.SS4.p1.8.m3.1.1.2" xref="S3.SS4.p1.8.m3.1.1.2.cmml">𝐱</mi><mi id="S3.SS4.p1.8.m3.1.1.3" xref="S3.SS4.p1.8.m3.1.1.3.cmml">f</mi></msub><annotation-xml encoding="MathML-Content" id="S3.SS4.p1.8.m3.1b"><apply id="S3.SS4.p1.8.m3.1.1.cmml" xref="S3.SS4.p1.8.m3.1.1"><csymbol cd="ambiguous" id="S3.SS4.p1.8.m3.1.1.1.cmml" xref="S3.SS4.p1.8.m3.1.1">subscript</csymbol><ci id="S3.SS4.p1.8.m3.1.1.2.cmml" xref="S3.SS4.p1.8.m3.1.1.2">𝐱</ci><ci id="S3.SS4.p1.8.m3.1.1.3.cmml" xref="S3.SS4.p1.8.m3.1.1.3">𝑓</ci></apply></annotation-xml><annotation encoding="application/x-tex" id="S3.SS4.p1.8.m3.1c">\mathbf{x}_{f}</annotation><annotation encoding="application/x-llamapun" id="S3.SS4.p1.8.m3.1d">bold_x start_POSTSUBSCRIPT italic_f end_POSTSUBSCRIPT</annotation></semantics></math> laying on a ray with direction <math alttext="\mathbf{d}" class="ltx_Math" display="inline" id="S3.SS4.p1.9.m4.1"><semantics id="S3.SS4.p1.9.m4.1a"><mi id="S3.SS4.p1.9.m4.1.1" xref="S3.SS4.p1.9.m4.1.1.cmml">𝐝</mi><annotation-xml encoding="MathML-Content" id="S3.SS4.p1.9.m4.1b"><ci id="S3.SS4.p1.9.m4.1.1.cmml" xref="S3.SS4.p1.9.m4.1.1">𝐝</ci></annotation-xml><annotation encoding="application/x-tex" id="S3.SS4.p1.9.m4.1c">\mathbf{d}</annotation><annotation encoding="application/x-llamapun" id="S3.SS4.p1.9.m4.1d">bold_d</annotation></semantics></math> can be expressed as the sum of each expert predictions weighted by their probability: </div> <div class="ltx_para" id="S3.SS4.p2"> <table class="ltx_equation ltx_eqn_table" id="S3.E9"> <tbody><tr class="ltx_equation ltx_eqn_row ltx_align_baseline"> <td class="ltx_eqn_cell ltx_eqn_center_padleft"></td> <td class="ltx_eqn_cell ltx_align_center"><math alttext="\mathbf{c}_{f},\sigma_{f}=\sum_{i\in\mathcal{K}}E_{i}(\mathbf{x_{f}},\mathbf{d% })\cdot G(\mathbf{x_{f}})_{i}" class="ltx_Math" display="block" id="S3.E9.m1.5"><semantics id="S3.E9.m1.5a"><mrow id="S3.E9.m1.5.5" xref="S3.E9.m1.5.5.cmml"><mrow id="S3.E9.m1.3.3.2.2" xref="S3.E9.m1.3.3.2.3.cmml"><msub id="S3.E9.m1.2.2.1.1.1" xref="S3.E9.m1.2.2.1.1.1.cmml"><mi id="S3.E9.m1.2.2.1.1.1.2" xref="S3.E9.m1.2.2.1.1.1.2.cmml">𝐜</mi><mi id="S3.E9.m1.2.2.1.1.1.3" xref="S3.E9.m1.2.2.1.1.1.3.cmml">f</mi></msub><mo id="S3.E9.m1.3.3.2.2.3" xref="S3.E9.m1.3.3.2.3.cmml">,</mo><msub id="S3.E9.m1.3.3.2.2.2" xref="S3.E9.m1.3.3.2.2.2.cmml"><mi id="S3.E9.m1.3.3.2.2.2.2" xref="S3.E9.m1.3.3.2.2.2.2.cmml">σ</mi><mi id="S3.E9.m1.3.3.2.2.2.3" xref="S3.E9.m1.3.3.2.2.2.3.cmml">f</mi></msub></mrow><mo id="S3.E9.m1.5.5.5" rspace="0.111em" xref="S3.E9.m1.5.5.5.cmml">=</mo><mrow id="S3.E9.m1.5.5.4" xref="S3.E9.m1.5.5.4.cmml"><munder id="S3.E9.m1.5.5.4.3" xref="S3.E9.m1.5.5.4.3.cmml"><mo id="S3.E9.m1.5.5.4.3.2" movablelimits="false" xref="S3.E9.m1.5.5.4.3.2.cmml">∑</mo><mrow id="S3.E9.m1.5.5.4.3.3" xref="S3.E9.m1.5.5.4.3.3.cmml"><mi id="S3.E9.m1.5.5.4.3.3.2" xref="S3.E9.m1.5.5.4.3.3.2.cmml">i</mi><mo id="S3.E9.m1.5.5.4.3.3.1" xref="S3.E9.m1.5.5.4.3.3.1.cmml">∈</mo><mi class="ltx_font_mathcaligraphic" id="S3.E9.m1.5.5.4.3.3.3" xref="S3.E9.m1.5.5.4.3.3.3.cmml">𝒦</mi></mrow></munder><mrow id="S3.E9.m1.5.5.4.2" xref="S3.E9.m1.5.5.4.2.cmml"><mrow id="S3.E9.m1.4.4.3.1.1" xref="S3.E9.m1.4.4.3.1.1.cmml"><mrow id="S3.E9.m1.4.4.3.1.1.1" xref="S3.E9.m1.4.4.3.1.1.1.cmml"><msub id="S3.E9.m1.4.4.3.1.1.1.3" xref="S3.E9.m1.4.4.3.1.1.1.3.cmml"><mi id="S3.E9.m1.4.4.3.1.1.1.3.2" xref="S3.E9.m1.4.4.3.1.1.1.3.2.cmml">E</mi><mi id="S3.E9.m1.4.4.3.1.1.1.3.3" xref="S3.E9.m1.4.4.3.1.1.1.3.3.cmml">i</mi></msub><mo id="S3.E9.m1.4.4.3.1.1.1.2" xref="S3.E9.m1.4.4.3.1.1.1.2.cmml">⁢</mo><mrow id="S3.E9.m1.4.4.3.1.1.1.1.1" xref="S3.E9.m1.4.4.3.1.1.1.1.2.cmml"><mo id="S3.E9.m1.4.4.3.1.1.1.1.1.2" stretchy="false" xref="S3.E9.m1.4.4.3.1.1.1.1.2.cmml">(</mo><msub id="S3.E9.m1.4.4.3.1.1.1.1.1.1" xref="S3.E9.m1.4.4.3.1.1.1.1.1.1.cmml"><mi id="S3.E9.m1.4.4.3.1.1.1.1.1.1.2" xref="S3.E9.m1.4.4.3.1.1.1.1.1.1.2.cmml">𝐱</mi><mi id="S3.E9.m1.4.4.3.1.1.1.1.1.1.3" xref="S3.E9.m1.4.4.3.1.1.1.1.1.1.3.cmml">𝐟</mi></msub><mo id="S3.E9.m1.4.4.3.1.1.1.1.1.3" xref="S3.E9.m1.4.4.3.1.1.1.1.2.cmml">,</mo><mi id="S3.E9.m1.1.1" xref="S3.E9.m1.1.1.cmml">𝐝</mi><mo id="S3.E9.m1.4.4.3.1.1.1.1.1.4" rspace="0.055em" stretchy="false" xref="S3.E9.m1.4.4.3.1.1.1.1.2.cmml">)</mo></mrow></mrow><mo id="S3.E9.m1.4.4.3.1.1.2" rspace="0.222em" xref="S3.E9.m1.4.4.3.1.1.2.cmml">⋅</mo><mi id="S3.E9.m1.4.4.3.1.1.3" xref="S3.E9.m1.4.4.3.1.1.3.cmml">G</mi></mrow><mo id="S3.E9.m1.5.5.4.2.3" xref="S3.E9.m1.5.5.4.2.3.cmml">⁢</mo><msub id="S3.E9.m1.5.5.4.2.2" xref="S3.E9.m1.5.5.4.2.2.cmml"><mrow id="S3.E9.m1.5.5.4.2.2.1.1" xref="S3.E9.m1.5.5.4.2.2.1.1.1.cmml"><mo id="S3.E9.m1.5.5.4.2.2.1.1.2" stretchy="false" xref="S3.E9.m1.5.5.4.2.2.1.1.1.cmml">(</mo><msub id="S3.E9.m1.5.5.4.2.2.1.1.1" xref="S3.E9.m1.5.5.4.2.2.1.1.1.cmml"><mi id="S3.E9.m1.5.5.4.2.2.1.1.1.2" xref="S3.E9.m1.5.5.4.2.2.1.1.1.2.cmml">𝐱</mi><mi id="S3.E9.m1.5.5.4.2.2.1.1.1.3" xref="S3.E9.m1.5.5.4.2.2.1.1.1.3.cmml">𝐟</mi></msub><mo id="S3.E9.m1.5.5.4.2.2.1.1.3" stretchy="false" xref="S3.E9.m1.5.5.4.2.2.1.1.1.cmml">)</mo></mrow><mi id="S3.E9.m1.5.5.4.2.2.3" xref="S3.E9.m1.5.5.4.2.2.3.cmml">i</mi></msub></mrow></mrow></mrow><annotation-xml encoding="MathML-Content" id="S3.E9.m1.5b"><apply id="S3.E9.m1.5.5.cmml" xref="S3.E9.m1.5.5"><eq id="S3.E9.m1.5.5.5.cmml" xref="S3.E9.m1.5.5.5"></eq><list id="S3.E9.m1.3.3.2.3.cmml" xref="S3.E9.m1.3.3.2.2"><apply id="S3.E9.m1.2.2.1.1.1.cmml" xref="S3.E9.m1.2.2.1.1.1"><csymbol cd="ambiguous" id="S3.E9.m1.2.2.1.1.1.1.cmml" xref="S3.E9.m1.2.2.1.1.1">subscript</csymbol><ci id="S3.E9.m1.2.2.1.1.1.2.cmml" xref="S3.E9.m1.2.2.1.1.1.2">𝐜</ci><ci id="S3.E9.m1.2.2.1.1.1.3.cmml" xref="S3.E9.m1.2.2.1.1.1.3">𝑓</ci></apply><apply id="S3.E9.m1.3.3.2.2.2.cmml" xref="S3.E9.m1.3.3.2.2.2"><csymbol cd="ambiguous" id="S3.E9.m1.3.3.2.2.2.1.cmml" xref="S3.E9.m1.3.3.2.2.2">subscript</csymbol><ci id="S3.E9.m1.3.3.2.2.2.2.cmml" xref="S3.E9.m1.3.3.2.2.2.2">𝜎</ci><ci id="S3.E9.m1.3.3.2.2.2.3.cmml" xref="S3.E9.m1.3.3.2.2.2.3">𝑓</ci></apply></list><apply id="S3.E9.m1.5.5.4.cmml" xref="S3.E9.m1.5.5.4"><apply id="S3.E9.m1.5.5.4.3.cmml" xref="S3.E9.m1.5.5.4.3"><csymbol cd="ambiguous" id="S3.E9.m1.5.5.4.3.1.cmml" xref="S3.E9.m1.5.5.4.3">subscript</csymbol><sum id="S3.E9.m1.5.5.4.3.2.cmml" xref="S3.E9.m1.5.5.4.3.2"></sum><apply id="S3.E9.m1.5.5.4.3.3.cmml" xref="S3.E9.m1.5.5.4.3.3"><in id="S3.E9.m1.5.5.4.3.3.1.cmml" xref="S3.E9.m1.5.5.4.3.3.1"></in><ci id="S3.E9.m1.5.5.4.3.3.2.cmml" xref="S3.E9.m1.5.5.4.3.3.2">𝑖</ci><ci id="S3.E9.m1.5.5.4.3.3.3.cmml" xref="S3.E9.m1.5.5.4.3.3.3">𝒦</ci></apply></apply><apply id="S3.E9.m1.5.5.4.2.cmml" xref="S3.E9.m1.5.5.4.2"><times id="S3.E9.m1.5.5.4.2.3.cmml" xref="S3.E9.m1.5.5.4.2.3"></times><apply id="S3.E9.m1.4.4.3.1.1.cmml" xref="S3.E9.m1.4.4.3.1.1"><ci id="S3.E9.m1.4.4.3.1.1.2.cmml" xref="S3.E9.m1.4.4.3.1.1.2">⋅</ci><apply id="S3.E9.m1.4.4.3.1.1.1.cmml" xref="S3.E9.m1.4.4.3.1.1.1"><times id="S3.E9.m1.4.4.3.1.1.1.2.cmml" xref="S3.E9.m1.4.4.3.1.1.1.2"></times><apply id="S3.E9.m1.4.4.3.1.1.1.3.cmml" xref="S3.E9.m1.4.4.3.1.1.1.3"><csymbol cd="ambiguous" id="S3.E9.m1.4.4.3.1.1.1.3.1.cmml" xref="S3.E9.m1.4.4.3.1.1.1.3">subscript</csymbol><ci id="S3.E9.m1.4.4.3.1.1.1.3.2.cmml" xref="S3.E9.m1.4.4.3.1.1.1.3.2">𝐸</ci><ci id="S3.E9.m1.4.4.3.1.1.1.3.3.cmml" xref="S3.E9.m1.4.4.3.1.1.1.3.3">𝑖</ci></apply><interval closure="open" id="S3.E9.m1.4.4.3.1.1.1.1.2.cmml" xref="S3.E9.m1.4.4.3.1.1.1.1.1"><apply id="S3.E9.m1.4.4.3.1.1.1.1.1.1.cmml" xref="S3.E9.m1.4.4.3.1.1.1.1.1.1"><csymbol cd="ambiguous" id="S3.E9.m1.4.4.3.1.1.1.1.1.1.1.cmml" xref="S3.E9.m1.4.4.3.1.1.1.1.1.1">subscript</csymbol><ci id="S3.E9.m1.4.4.3.1.1.1.1.1.1.2.cmml" xref="S3.E9.m1.4.4.3.1.1.1.1.1.1.2">𝐱</ci><ci id="S3.E9.m1.4.4.3.1.1.1.1.1.1.3.cmml" xref="S3.E9.m1.4.4.3.1.1.1.1.1.1.3">𝐟</ci></apply><ci id="S3.E9.m1.1.1.cmml" xref="S3.E9.m1.1.1">𝐝</ci></interval></apply><ci id="S3.E9.m1.4.4.3.1.1.3.cmml" xref="S3.E9.m1.4.4.3.1.1.3">𝐺</ci></apply><apply id="S3.E9.m1.5.5.4.2.2.cmml" xref="S3.E9.m1.5.5.4.2.2"><csymbol cd="ambiguous" id="S3.E9.m1.5.5.4.2.2.2.cmml" xref="S3.E9.m1.5.5.4.2.2">subscript</csymbol><apply id="S3.E9.m1.5.5.4.2.2.1.1.1.cmml" xref="S3.E9.m1.5.5.4.2.2.1.1"><csymbol cd="ambiguous" id="S3.E9.m1.5.5.4.2.2.1.1.1.1.cmml" xref="S3.E9.m1.5.5.4.2.2.1.1">subscript</csymbol><ci id="S3.E9.m1.5.5.4.2.2.1.1.1.2.cmml" xref="S3.E9.m1.5.5.4.2.2.1.1.1.2">𝐱</ci><ci id="S3.E9.m1.5.5.4.2.2.1.1.1.3.cmml" xref="S3.E9.m1.5.5.4.2.2.1.1.1.3">𝐟</ci></apply><ci id="S3.E9.m1.5.5.4.2.2.3.cmml" xref="S3.E9.m1.5.5.4.2.2.3">𝑖</ci></apply></apply></apply></apply></annotation-xml><annotation encoding="application/x-tex" id="S3.E9.m1.5c">\mathbf{c}_{f},\sigma_{f}=\sum_{i\in\mathcal{K}}E_{i}(\mathbf{x_{f}},\mathbf{d% })\cdot G(\mathbf{x_{f}})_{i}</annotation><annotation encoding="application/x-llamapun" id="S3.E9.m1.5d">bold_c start_POSTSUBSCRIPT italic_f end_POSTSUBSCRIPT , italic_σ start_POSTSUBSCRIPT italic_f end_POSTSUBSCRIPT = ∑ start_POSTSUBSCRIPT italic_i ∈ caligraphic_K end_POSTSUBSCRIPT italic_E start_POSTSUBSCRIPT italic_i end_POSTSUBSCRIPT ( bold_x start_POSTSUBSCRIPT bold_f end_POSTSUBSCRIPT , bold_d ) ⋅ italic_G ( bold_x start_POSTSUBSCRIPT bold_f end_POSTSUBSCRIPT ) start_POSTSUBSCRIPT italic_i end_POSTSUBSCRIPT</annotation></semantics></math></td> <td class="ltx_eqn_cell ltx_eqn_center_padright"></td> <td class="ltx_eqn_cell ltx_eqn_eqno ltx_align_middle ltx_align_right" rowspan="1">(9)</td> </tr></tbody> </table> </div> <div class="ltx_para" id="S3.SS4.p3"> where <math alttext="E_{i}" class="ltx_Math" display="inline" id="S3.SS4.p3.1.m1.1"><semantics id="S3.SS4.p3.1.m1.1a"><msub id="S3.SS4.p3.1.m1.1.1" xref="S3.SS4.p3.1.m1.1.1.cmml"><mi id="S3.SS4.p3.1.m1.1.1.2" xref="S3.SS4.p3.1.m1.1.1.2.cmml">E</mi><mi id="S3.SS4.p3.1.m1.1.1.3" xref="S3.SS4.p3.1.m1.1.1.3.cmml">i</mi></msub><annotation-xml encoding="MathML-Content" id="S3.SS4.p3.1.m1.1b"><apply id="S3.SS4.p3.1.m1.1.1.cmml" xref="S3.SS4.p3.1.m1.1.1"><csymbol cd="ambiguous" id="S3.SS4.p3.1.m1.1.1.1.cmml" xref="S3.SS4.p3.1.m1.1.1">subscript</csymbol><ci id="S3.SS4.p3.1.m1.1.1.2.cmml" xref="S3.SS4.p3.1.m1.1.1.2">𝐸</ci><ci id="S3.SS4.p3.1.m1.1.1.3.cmml" xref="S3.SS4.p3.1.m1.1.1.3">𝑖</ci></apply></annotation-xml><annotation encoding="application/x-tex" id="S3.SS4.p3.1.m1.1c">E_{i}</annotation><annotation encoding="application/x-llamapun" id="S3.SS4.p3.1.m1.1d">italic_E start_POSTSUBSCRIPT italic_i end_POSTSUBSCRIPT</annotation></semantics></math> denotes the <math alttext="i" class="ltx_Math" display="inline" id="S3.SS4.p3.2.m2.1"><semantics id="S3.SS4.p3.2.m2.1a"><mi id="S3.SS4.p3.2.m2.1.1" xref="S3.SS4.p3.2.m2.1.1.cmml">i</mi><annotation-xml encoding="MathML-Content" id="S3.SS4.p3.2.m2.1b"><ci id="S3.SS4.p3.2.m2.1.1.cmml" xref="S3.SS4.p3.2.m2.1.1">𝑖</ci></annotation-xml><annotation encoding="application/x-tex" id="S3.SS4.p3.2.m2.1c">i</annotation><annotation encoding="application/x-llamapun" id="S3.SS4.p3.2.m2.1d">italic_i</annotation></semantics></math>-th expert and <math alttext="G(\mathbf{x_{f}})_{i}" class="ltx_Math" display="inline" id="S3.SS4.p3.3.m3.1"><semantics id="S3.SS4.p3.3.m3.1a"><mrow id="S3.SS4.p3.3.m3.1.1" xref="S3.SS4.p3.3.m3.1.1.cmml"><mi id="S3.SS4.p3.3.m3.1.1.3" xref="S3.SS4.p3.3.m3.1.1.3.cmml">G</mi><mo id="S3.SS4.p3.3.m3.1.1.2" xref="S3.SS4.p3.3.m3.1.1.2.cmml">⁢</mo><msub id="S3.SS4.p3.3.m3.1.1.1" xref="S3.SS4.p3.3.m3.1.1.1.cmml"><mrow id="S3.SS4.p3.3.m3.1.1.1.1.1" xref="S3.SS4.p3.3.m3.1.1.1.1.1.1.cmml"><mo id="S3.SS4.p3.3.m3.1.1.1.1.1.2" stretchy="false" xref="S3.SS4.p3.3.m3.1.1.1.1.1.1.cmml">(</mo><msub id="S3.SS4.p3.3.m3.1.1.1.1.1.1" xref="S3.SS4.p3.3.m3.1.1.1.1.1.1.cmml"><mi id="S3.SS4.p3.3.m3.1.1.1.1.1.1.2" xref="S3.SS4.p3.3.m3.1.1.1.1.1.1.2.cmml">𝐱</mi><mi id="S3.SS4.p3.3.m3.1.1.1.1.1.1.3" xref="S3.SS4.p3.3.m3.1.1.1.1.1.1.3.cmml">𝐟</mi></msub><mo id="S3.SS4.p3.3.m3.1.1.1.1.1.3" stretchy="false" xref="S3.SS4.p3.3.m3.1.1.1.1.1.1.cmml">)</mo></mrow><mi id="S3.SS4.p3.3.m3.1.1.1.3" xref="S3.SS4.p3.3.m3.1.1.1.3.cmml">i</mi></msub></mrow><annotation-xml encoding="MathML-Content" id="S3.SS4.p3.3.m3.1b"><apply id="S3.SS4.p3.3.m3.1.1.cmml" xref="S3.SS4.p3.3.m3.1.1"><times id="S3.SS4.p3.3.m3.1.1.2.cmml" xref="S3.SS4.p3.3.m3.1.1.2"></times><ci id="S3.SS4.p3.3.m3.1.1.3.cmml" xref="S3.SS4.p3.3.m3.1.1.3">𝐺</ci><apply id="S3.SS4.p3.3.m3.1.1.1.cmml" xref="S3.SS4.p3.3.m3.1.1.1"><csymbol cd="ambiguous" id="S3.SS4.p3.3.m3.1.1.1.2.cmml" xref="S3.SS4.p3.3.m3.1.1.1">subscript</csymbol><apply id="S3.SS4.p3.3.m3.1.1.1.1.1.1.cmml" xref="S3.SS4.p3.3.m3.1.1.1.1.1"><csymbol cd="ambiguous" id="S3.SS4.p3.3.m3.1.1.1.1.1.1.1.cmml" xref="S3.SS4.p3.3.m3.1.1.1.1.1">subscript</csymbol><ci id="S3.SS4.p3.3.m3.1.1.1.1.1.1.2.cmml" xref="S3.SS4.p3.3.m3.1.1.1.1.1.1.2">𝐱</ci><ci id="S3.SS4.p3.3.m3.1.1.1.1.1.1.3.cmml" xref="S3.SS4.p3.3.m3.1.1.1.1.1.1.3">𝐟</ci></apply><ci id="S3.SS4.p3.3.m3.1.1.1.3.cmml" xref="S3.SS4.p3.3.m3.1.1.1.3">𝑖</ci></apply></apply></annotation-xml><annotation encoding="application/x-tex" id="S3.SS4.p3.3.m3.1c">G(\mathbf{x_{f}})_{i}</annotation><annotation encoding="application/x-llamapun" id="S3.SS4.p3.3.m3.1d">italic_G ( bold_x start_POSTSUBSCRIPT bold_f end_POSTSUBSCRIPT ) start_POSTSUBSCRIPT italic_i end_POSTSUBSCRIPT</annotation></semantics></math> the probability for the point to be dispatched to that expert <math alttext="i" class="ltx_Math" display="inline" id="S3.SS4.p3.4.m4.1"><semantics id="S3.SS4.p3.4.m4.1a"><mi id="S3.SS4.p3.4.m4.1.1" xref="S3.SS4.p3.4.m4.1.1.cmml">i</mi><annotation-xml encoding="MathML-Content" id="S3.SS4.p3.4.m4.1b"><ci id="S3.SS4.p3.4.m4.1.1.cmml" xref="S3.SS4.p3.4.m4.1.1">𝑖</ci></annotation-xml><annotation encoding="application/x-tex" id="S3.SS4.p3.4.m4.1c">i</annotation><annotation encoding="application/x-llamapun" id="S3.SS4.p3.4.m4.1d">italic_i</annotation></semantics></math>. </div> <div class="ltx_para" id="S3.SS4.p4"> Once we obtain radiance and density values for all the points on the ray, we can compute the pixel color with Equation <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S2.E1" title="Equation 1 ‣ 2.1 Neural Radiance Field ‣ 2 Related works ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">1</a>. </div> </section> <section class="ltx_subsection" id="S3.SS5"> <h3 class="ltx_title ltx_title_subsection"> 3.5 Resolution-based Routing</h3> <div class="ltx_para" id="S3.SS5.p1"> To balance the load and prevent the gate from focusing on assigning points to a single expert (typically the one with the highest resolution), we employ a resolution-weighted auxiliary loss. Given <math alttext="M" class="ltx_Math" display="inline" id="S3.SS5.p1.1.m1.1"><semantics id="S3.SS5.p1.1.m1.1a"><mi id="S3.SS5.p1.1.m1.1.1" xref="S3.SS5.p1.1.m1.1.1.cmml">M</mi><annotation-xml encoding="MathML-Content" id="S3.SS5.p1.1.m1.1b"><ci id="S3.SS5.p1.1.m1.1.1.cmml" xref="S3.SS5.p1.1.m1.1.1">𝑀</ci></annotation-xml><annotation encoding="application/x-tex" id="S3.SS5.p1.1.m1.1c">M</annotation><annotation encoding="application/x-llamapun" id="S3.SS5.p1.1.m1.1d">italic_M</annotation></semantics></math> experts, and a batch of points <math alttext="B" class="ltx_Math" display="inline" id="S3.SS5.p1.2.m2.1"><semantics id="S3.SS5.p1.2.m2.1a"><mi id="S3.SS5.p1.2.m2.1.1" xref="S3.SS5.p1.2.m2.1.1.cmml">B</mi><annotation-xml encoding="MathML-Content" id="S3.SS5.p1.2.m2.1b"><ci id="S3.SS5.p1.2.m2.1.1.cmml" xref="S3.SS5.p1.2.m2.1.1">𝐵</ci></annotation-xml><annotation encoding="application/x-tex" id="S3.SS5.p1.2.m2.1c">B</annotation><annotation encoding="application/x-llamapun" id="S3.SS5.p1.2.m2.1d">italic_B</annotation></semantics></math>, the auxiliary loss is defined as: </div> <div class="ltx_para" id="S3.SS5.p2"> <table class="ltx_equation ltx_eqn_table" id="S3.E10"> <tbody><tr class="ltx_equation ltx_eqn_row ltx_align_baseline"> <td class="ltx_eqn_cell ltx_eqn_center_padleft"></td> <td class="ltx_eqn_cell ltx_align_center"><math alttext="L_{\text{aux}}=\frac{M}{|B|^{2}}\sum_{i=1}^{M}c_{i}m_{i},\qquad m_{i}=\sum_{% \mathbf{x}_{f}\in B}G(\mathbf{x}_{f})_{i}," class="ltx_Math" display="block" id="S3.E10.m1.2"><semantics id="S3.E10.m1.2a"><mrow id="S3.E10.m1.2.2.1"><mrow id="S3.E10.m1.2.2.1.1.2" xref="S3.E10.m1.2.2.1.1.3.cmml"><mrow id="S3.E10.m1.2.2.1.1.1.1" xref="S3.E10.m1.2.2.1.1.1.1.cmml"><msub id="S3.E10.m1.2.2.1.1.1.1.2" xref="S3.E10.m1.2.2.1.1.1.1.2.cmml"><mi id="S3.E10.m1.2.2.1.1.1.1.2.2" xref="S3.E10.m1.2.2.1.1.1.1.2.2.cmml">L</mi><mtext id="S3.E10.m1.2.2.1.1.1.1.2.3" xref="S3.E10.m1.2.2.1.1.1.1.2.3a.cmml">aux</mtext></msub><mo 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end_POSTSUBSCRIPT ,</annotation></semantics></math></td> <td class="ltx_eqn_cell ltx_eqn_center_padright"></td> <td class="ltx_eqn_cell ltx_eqn_eqno ltx_align_middle ltx_align_right" rowspan="1">(10)</td> </tr></tbody> </table> </div> <div class="ltx_para" id="S3.SS5.p3"> where <math alttext="c_{i}" class="ltx_Math" display="inline" id="S3.SS5.p3.1.m1.1"><semantics id="S3.SS5.p3.1.m1.1a"><msub id="S3.SS5.p3.1.m1.1.1" xref="S3.SS5.p3.1.m1.1.1.cmml"><mi id="S3.SS5.p3.1.m1.1.1.2" xref="S3.SS5.p3.1.m1.1.1.2.cmml">c</mi><mi id="S3.SS5.p3.1.m1.1.1.3" xref="S3.SS5.p3.1.m1.1.1.3.cmml">i</mi></msub><annotation-xml encoding="MathML-Content" id="S3.SS5.p3.1.m1.1b"><apply id="S3.SS5.p3.1.m1.1.1.cmml" xref="S3.SS5.p3.1.m1.1.1"><csymbol cd="ambiguous" id="S3.SS5.p3.1.m1.1.1.1.cmml" xref="S3.SS5.p3.1.m1.1.1">subscript</csymbol><ci id="S3.SS5.p3.1.m1.1.1.2.cmml" xref="S3.SS5.p3.1.m1.1.1.2">𝑐</ci><ci id="S3.SS5.p3.1.m1.1.1.3.cmml" xref="S3.SS5.p3.1.m1.1.1.3">𝑖</ci></apply></annotation-xml><annotation encoding="application/x-tex" id="S3.SS5.p3.1.m1.1c">c_{i}</annotation><annotation encoding="application/x-llamapun" id="S3.SS5.p3.1.m1.1d">italic_c start_POSTSUBSCRIPT italic_i end_POSTSUBSCRIPT</annotation></semantics></math> represents the number of inputs dispatched to the expert <math alttext="i" class="ltx_Math" display="inline" id="S3.SS5.p3.2.m2.1"><semantics id="S3.SS5.p3.2.m2.1a"><mi id="S3.SS5.p3.2.m2.1.1" xref="S3.SS5.p3.2.m2.1.1.cmml">i</mi><annotation-xml encoding="MathML-Content" id="S3.SS5.p3.2.m2.1b"><ci id="S3.SS5.p3.2.m2.1.1.cmml" xref="S3.SS5.p3.2.m2.1.1">𝑖</ci></annotation-xml><annotation encoding="application/x-tex" id="S3.SS5.p3.2.m2.1c">i</annotation><annotation encoding="application/x-llamapun" id="S3.SS5.p3.2.m2.1d">italic_i</annotation></semantics></math>, and <math alttext="m_{i}" class="ltx_Math" display="inline" id="S3.SS5.p3.3.m3.1"><semantics id="S3.SS5.p3.3.m3.1a"><msub id="S3.SS5.p3.3.m3.1.1" xref="S3.SS5.p3.3.m3.1.1.cmml"><mi id="S3.SS5.p3.3.m3.1.1.2" xref="S3.SS5.p3.3.m3.1.1.2.cmml">m</mi><mi id="S3.SS5.p3.3.m3.1.1.3" xref="S3.SS5.p3.3.m3.1.1.3.cmml">i</mi></msub><annotation-xml encoding="MathML-Content" id="S3.SS5.p3.3.m3.1b"><apply id="S3.SS5.p3.3.m3.1.1.cmml" xref="S3.SS5.p3.3.m3.1.1"><csymbol cd="ambiguous" id="S3.SS5.p3.3.m3.1.1.1.cmml" xref="S3.SS5.p3.3.m3.1.1">subscript</csymbol><ci id="S3.SS5.p3.3.m3.1.1.2.cmml" xref="S3.SS5.p3.3.m3.1.1.2">𝑚</ci><ci id="S3.SS5.p3.3.m3.1.1.3.cmml" xref="S3.SS5.p3.3.m3.1.1.3">𝑖</ci></apply></annotation-xml><annotation encoding="application/x-tex" id="S3.SS5.p3.3.m3.1c">m_{i}</annotation><annotation encoding="application/x-llamapun" id="S3.SS5.p3.3.m3.1d">italic_m start_POSTSUBSCRIPT italic_i end_POSTSUBSCRIPT</annotation></semantics></math> is the sum of all the probabilities for each point in the batch for the expert <math alttext="i" class="ltx_Math" display="inline" id="S3.SS5.p3.4.m4.1"><semantics id="S3.SS5.p3.4.m4.1a"><mi id="S3.SS5.p3.4.m4.1.1" xref="S3.SS5.p3.4.m4.1.1.cmml">i</mi><annotation-xml encoding="MathML-Content" id="S3.SS5.p3.4.m4.1b"><ci id="S3.SS5.p3.4.m4.1.1.cmml" xref="S3.SS5.p3.4.m4.1.1">𝑖</ci></annotation-xml><annotation encoding="application/x-tex" id="S3.SS5.p3.4.m4.1c">i</annotation><annotation encoding="application/x-llamapun" id="S3.SS5.p3.4.m4.1d">italic_i</annotation></semantics></math>. This loss helps balance the workload, ensuring that each expert processes a similar number of points. Ideally, in a perfectly balanced scenario, <math alttext="L_{aux}" class="ltx_Math" display="inline" id="S3.SS5.p3.5.m5.1"><semantics id="S3.SS5.p3.5.m5.1a"><msub id="S3.SS5.p3.5.m5.1.1" xref="S3.SS5.p3.5.m5.1.1.cmml"><mi id="S3.SS5.p3.5.m5.1.1.2" xref="S3.SS5.p3.5.m5.1.1.2.cmml">L</mi><mrow id="S3.SS5.p3.5.m5.1.1.3" xref="S3.SS5.p3.5.m5.1.1.3.cmml"><mi id="S3.SS5.p3.5.m5.1.1.3.2" xref="S3.SS5.p3.5.m5.1.1.3.2.cmml">a</mi><mo id="S3.SS5.p3.5.m5.1.1.3.1" xref="S3.SS5.p3.5.m5.1.1.3.1.cmml">⁢</mo><mi id="S3.SS5.p3.5.m5.1.1.3.3" xref="S3.SS5.p3.5.m5.1.1.3.3.cmml">u</mi><mo id="S3.SS5.p3.5.m5.1.1.3.1a" xref="S3.SS5.p3.5.m5.1.1.3.1.cmml">⁢</mo><mi id="S3.SS5.p3.5.m5.1.1.3.4" xref="S3.SS5.p3.5.m5.1.1.3.4.cmml">x</mi></mrow></msub><annotation-xml encoding="MathML-Content" id="S3.SS5.p3.5.m5.1b"><apply id="S3.SS5.p3.5.m5.1.1.cmml" xref="S3.SS5.p3.5.m5.1.1"><csymbol cd="ambiguous" id="S3.SS5.p3.5.m5.1.1.1.cmml" xref="S3.SS5.p3.5.m5.1.1">subscript</csymbol><ci id="S3.SS5.p3.5.m5.1.1.2.cmml" xref="S3.SS5.p3.5.m5.1.1.2">𝐿</ci><apply id="S3.SS5.p3.5.m5.1.1.3.cmml" xref="S3.SS5.p3.5.m5.1.1.3"><times id="S3.SS5.p3.5.m5.1.1.3.1.cmml" xref="S3.SS5.p3.5.m5.1.1.3.1"></times><ci id="S3.SS5.p3.5.m5.1.1.3.2.cmml" xref="S3.SS5.p3.5.m5.1.1.3.2">𝑎</ci><ci id="S3.SS5.p3.5.m5.1.1.3.3.cmml" xref="S3.SS5.p3.5.m5.1.1.3.3">𝑢</ci><ci id="S3.SS5.p3.5.m5.1.1.3.4.cmml" xref="S3.SS5.p3.5.m5.1.1.3.4">𝑥</ci></apply></apply></annotation-xml><annotation encoding="application/x-tex" id="S3.SS5.p3.5.m5.1c">L_{aux}</annotation><annotation encoding="application/x-llamapun" id="S3.SS5.p3.5.m5.1d">italic_L start_POSTSUBSCRIPT italic_a italic_u italic_x end_POSTSUBSCRIPT</annotation></semantics></math> is expected to be 1, as both <math alttext="c_{i}" class="ltx_Math" display="inline" id="S3.SS5.p3.6.m6.1"><semantics id="S3.SS5.p3.6.m6.1a"><msub id="S3.SS5.p3.6.m6.1.1" xref="S3.SS5.p3.6.m6.1.1.cmml"><mi id="S3.SS5.p3.6.m6.1.1.2" xref="S3.SS5.p3.6.m6.1.1.2.cmml">c</mi><mi id="S3.SS5.p3.6.m6.1.1.3" xref="S3.SS5.p3.6.m6.1.1.3.cmml">i</mi></msub><annotation-xml encoding="MathML-Content" id="S3.SS5.p3.6.m6.1b"><apply id="S3.SS5.p3.6.m6.1.1.cmml" xref="S3.SS5.p3.6.m6.1.1"><csymbol cd="ambiguous" id="S3.SS5.p3.6.m6.1.1.1.cmml" xref="S3.SS5.p3.6.m6.1.1">subscript</csymbol><ci id="S3.SS5.p3.6.m6.1.1.2.cmml" xref="S3.SS5.p3.6.m6.1.1.2">𝑐</ci><ci id="S3.SS5.p3.6.m6.1.1.3.cmml" xref="S3.SS5.p3.6.m6.1.1.3">𝑖</ci></apply></annotation-xml><annotation encoding="application/x-tex" id="S3.SS5.p3.6.m6.1c">c_{i}</annotation><annotation encoding="application/x-llamapun" id="S3.SS5.p3.6.m6.1d">italic_c start_POSTSUBSCRIPT italic_i end_POSTSUBSCRIPT</annotation></semantics></math> and <math alttext="m_{i}" class="ltx_Math" display="inline" id="S3.SS5.p3.7.m7.1"><semantics id="S3.SS5.p3.7.m7.1a"><msub id="S3.SS5.p3.7.m7.1.1" xref="S3.SS5.p3.7.m7.1.1.cmml"><mi id="S3.SS5.p3.7.m7.1.1.2" xref="S3.SS5.p3.7.m7.1.1.2.cmml">m</mi><mi id="S3.SS5.p3.7.m7.1.1.3" xref="S3.SS5.p3.7.m7.1.1.3.cmml">i</mi></msub><annotation-xml encoding="MathML-Content" id="S3.SS5.p3.7.m7.1b"><apply id="S3.SS5.p3.7.m7.1.1.cmml" xref="S3.SS5.p3.7.m7.1.1"><csymbol cd="ambiguous" id="S3.SS5.p3.7.m7.1.1.1.cmml" xref="S3.SS5.p3.7.m7.1.1">subscript</csymbol><ci id="S3.SS5.p3.7.m7.1.1.2.cmml" xref="S3.SS5.p3.7.m7.1.1.2">𝑚</ci><ci id="S3.SS5.p3.7.m7.1.1.3.cmml" xref="S3.SS5.p3.7.m7.1.1.3">𝑖</ci></apply></annotation-xml><annotation encoding="application/x-tex" id="S3.SS5.p3.7.m7.1c">m_{i}</annotation><annotation encoding="application/x-llamapun" id="S3.SS5.p3.7.m7.1d">italic_m start_POSTSUBSCRIPT italic_i end_POSTSUBSCRIPT</annotation></semantics></math> would be <math alttext="\frac{M}{N}" class="ltx_Math" display="inline" id="S3.SS5.p3.8.m8.1"><semantics id="S3.SS5.p3.8.m8.1a"><mfrac id="S3.SS5.p3.8.m8.1.1" xref="S3.SS5.p3.8.m8.1.1.cmml"><mi id="S3.SS5.p3.8.m8.1.1.2" xref="S3.SS5.p3.8.m8.1.1.2.cmml">M</mi><mi id="S3.SS5.p3.8.m8.1.1.3" xref="S3.SS5.p3.8.m8.1.1.3.cmml">N</mi></mfrac><annotation-xml encoding="MathML-Content" id="S3.SS5.p3.8.m8.1b"><apply id="S3.SS5.p3.8.m8.1.1.cmml" xref="S3.SS5.p3.8.m8.1.1"><divide id="S3.SS5.p3.8.m8.1.1.1.cmml" xref="S3.SS5.p3.8.m8.1.1"></divide><ci id="S3.SS5.p3.8.m8.1.1.2.cmml" xref="S3.SS5.p3.8.m8.1.1.2">𝑀</ci><ci id="S3.SS5.p3.8.m8.1.1.3.cmml" xref="S3.SS5.p3.8.m8.1.1.3">𝑁</ci></apply></annotation-xml><annotation encoding="application/x-tex" id="S3.SS5.p3.8.m8.1c">\frac{M}{N}</annotation><annotation encoding="application/x-llamapun" id="S3.SS5.p3.8.m8.1d">divide start_ARG italic_M end_ARG start_ARG italic_N end_ARG</annotation></semantics></math>, resulting in <math alttext="\sum_{i=1}^{M}c_{i}m_{i}" class="ltx_Math" display="inline" id="S3.SS5.p3.9.m9.1"><semantics id="S3.SS5.p3.9.m9.1a"><mrow id="S3.SS5.p3.9.m9.1.1" xref="S3.SS5.p3.9.m9.1.1.cmml"><msubsup id="S3.SS5.p3.9.m9.1.1.1" xref="S3.SS5.p3.9.m9.1.1.1.cmml"><mo id="S3.SS5.p3.9.m9.1.1.1.2.2" xref="S3.SS5.p3.9.m9.1.1.1.2.2.cmml">∑</mo><mrow id="S3.SS5.p3.9.m9.1.1.1.2.3" xref="S3.SS5.p3.9.m9.1.1.1.2.3.cmml"><mi id="S3.SS5.p3.9.m9.1.1.1.2.3.2" xref="S3.SS5.p3.9.m9.1.1.1.2.3.2.cmml">i</mi><mo id="S3.SS5.p3.9.m9.1.1.1.2.3.1" xref="S3.SS5.p3.9.m9.1.1.1.2.3.1.cmml">=</mo><mn id="S3.SS5.p3.9.m9.1.1.1.2.3.3" xref="S3.SS5.p3.9.m9.1.1.1.2.3.3.cmml">1</mn></mrow><mi id="S3.SS5.p3.9.m9.1.1.1.3" xref="S3.SS5.p3.9.m9.1.1.1.3.cmml">M</mi></msubsup><mrow id="S3.SS5.p3.9.m9.1.1.2" xref="S3.SS5.p3.9.m9.1.1.2.cmml"><msub id="S3.SS5.p3.9.m9.1.1.2.2" xref="S3.SS5.p3.9.m9.1.1.2.2.cmml"><mi id="S3.SS5.p3.9.m9.1.1.2.2.2" xref="S3.SS5.p3.9.m9.1.1.2.2.2.cmml">c</mi><mi id="S3.SS5.p3.9.m9.1.1.2.2.3" xref="S3.SS5.p3.9.m9.1.1.2.2.3.cmml">i</mi></msub><mo id="S3.SS5.p3.9.m9.1.1.2.1" xref="S3.SS5.p3.9.m9.1.1.2.1.cmml">⁢</mo><msub id="S3.SS5.p3.9.m9.1.1.2.3" xref="S3.SS5.p3.9.m9.1.1.2.3.cmml"><mi id="S3.SS5.p3.9.m9.1.1.2.3.2" xref="S3.SS5.p3.9.m9.1.1.2.3.2.cmml">m</mi><mi id="S3.SS5.p3.9.m9.1.1.2.3.3" xref="S3.SS5.p3.9.m9.1.1.2.3.3.cmml">i</mi></msub></mrow></mrow><annotation-xml encoding="MathML-Content" id="S3.SS5.p3.9.m9.1b"><apply id="S3.SS5.p3.9.m9.1.1.cmml" xref="S3.SS5.p3.9.m9.1.1"><apply id="S3.SS5.p3.9.m9.1.1.1.cmml" xref="S3.SS5.p3.9.m9.1.1.1"><csymbol cd="ambiguous" id="S3.SS5.p3.9.m9.1.1.1.1.cmml" xref="S3.SS5.p3.9.m9.1.1.1">superscript</csymbol><apply id="S3.SS5.p3.9.m9.1.1.1.2.cmml" xref="S3.SS5.p3.9.m9.1.1.1"><csymbol cd="ambiguous" id="S3.SS5.p3.9.m9.1.1.1.2.1.cmml" xref="S3.SS5.p3.9.m9.1.1.1">subscript</csymbol><sum id="S3.SS5.p3.9.m9.1.1.1.2.2.cmml" xref="S3.SS5.p3.9.m9.1.1.1.2.2"></sum><apply id="S3.SS5.p3.9.m9.1.1.1.2.3.cmml" xref="S3.SS5.p3.9.m9.1.1.1.2.3"><eq id="S3.SS5.p3.9.m9.1.1.1.2.3.1.cmml" xref="S3.SS5.p3.9.m9.1.1.1.2.3.1"></eq><ci id="S3.SS5.p3.9.m9.1.1.1.2.3.2.cmml" xref="S3.SS5.p3.9.m9.1.1.1.2.3.2">𝑖</ci><cn id="S3.SS5.p3.9.m9.1.1.1.2.3.3.cmml" type="integer" xref="S3.SS5.p3.9.m9.1.1.1.2.3.3">1</cn></apply></apply><ci id="S3.SS5.p3.9.m9.1.1.1.3.cmml" xref="S3.SS5.p3.9.m9.1.1.1.3">𝑀</ci></apply><apply id="S3.SS5.p3.9.m9.1.1.2.cmml" xref="S3.SS5.p3.9.m9.1.1.2"><times id="S3.SS5.p3.9.m9.1.1.2.1.cmml" xref="S3.SS5.p3.9.m9.1.1.2.1"></times><apply id="S3.SS5.p3.9.m9.1.1.2.2.cmml" xref="S3.SS5.p3.9.m9.1.1.2.2"><csymbol cd="ambiguous" id="S3.SS5.p3.9.m9.1.1.2.2.1.cmml" xref="S3.SS5.p3.9.m9.1.1.2.2">subscript</csymbol><ci id="S3.SS5.p3.9.m9.1.1.2.2.2.cmml" xref="S3.SS5.p3.9.m9.1.1.2.2.2">𝑐</ci><ci id="S3.SS5.p3.9.m9.1.1.2.2.3.cmml" xref="S3.SS5.p3.9.m9.1.1.2.2.3">𝑖</ci></apply><apply id="S3.SS5.p3.9.m9.1.1.2.3.cmml" xref="S3.SS5.p3.9.m9.1.1.2.3"><csymbol cd="ambiguous" id="S3.SS5.p3.9.m9.1.1.2.3.1.cmml" xref="S3.SS5.p3.9.m9.1.1.2.3">subscript</csymbol><ci id="S3.SS5.p3.9.m9.1.1.2.3.2.cmml" xref="S3.SS5.p3.9.m9.1.1.2.3.2">𝑚</ci><ci id="S3.SS5.p3.9.m9.1.1.2.3.3.cmml" xref="S3.SS5.p3.9.m9.1.1.2.3.3">𝑖</ci></apply></apply></apply></annotation-xml><annotation encoding="application/x-tex" id="S3.SS5.p3.9.m9.1c">\sum_{i=1}^{M}c_{i}m_{i}</annotation><annotation encoding="application/x-llamapun" id="S3.SS5.p3.9.m9.1d">∑ start_POSTSUBSCRIPT italic_i = 1 end_POSTSUBSCRIPT start_POSTSUPERSCRIPT italic_M end_POSTSUPERSCRIPT italic_c start_POSTSUBSCRIPT italic_i end_POSTSUBSCRIPT italic_m start_POSTSUBSCRIPT italic_i end_POSTSUBSCRIPT</annotation></semantics></math> being <math alttext="\frac{M^{2}}{N}" class="ltx_Math" display="inline" id="S3.SS5.p3.10.m10.1"><semantics id="S3.SS5.p3.10.m10.1a"><mfrac id="S3.SS5.p3.10.m10.1.1" xref="S3.SS5.p3.10.m10.1.1.cmml"><msup id="S3.SS5.p3.10.m10.1.1.2" xref="S3.SS5.p3.10.m10.1.1.2.cmml"><mi id="S3.SS5.p3.10.m10.1.1.2.2" xref="S3.SS5.p3.10.m10.1.1.2.2.cmml">M</mi><mn id="S3.SS5.p3.10.m10.1.1.2.3" xref="S3.SS5.p3.10.m10.1.1.2.3.cmml">2</mn></msup><mi id="S3.SS5.p3.10.m10.1.1.3" xref="S3.SS5.p3.10.m10.1.1.3.cmml">N</mi></mfrac><annotation-xml encoding="MathML-Content" id="S3.SS5.p3.10.m10.1b"><apply id="S3.SS5.p3.10.m10.1.1.cmml" xref="S3.SS5.p3.10.m10.1.1"><divide id="S3.SS5.p3.10.m10.1.1.1.cmml" xref="S3.SS5.p3.10.m10.1.1"></divide><apply id="S3.SS5.p3.10.m10.1.1.2.cmml" xref="S3.SS5.p3.10.m10.1.1.2"><csymbol cd="ambiguous" id="S3.SS5.p3.10.m10.1.1.2.1.cmml" xref="S3.SS5.p3.10.m10.1.1.2">superscript</csymbol><ci id="S3.SS5.p3.10.m10.1.1.2.2.cmml" xref="S3.SS5.p3.10.m10.1.1.2.2">𝑀</ci><cn id="S3.SS5.p3.10.m10.1.1.2.3.cmml" type="integer" xref="S3.SS5.p3.10.m10.1.1.2.3">2</cn></apply><ci id="S3.SS5.p3.10.m10.1.1.3.cmml" xref="S3.SS5.p3.10.m10.1.1.3">𝑁</ci></apply></annotation-xml><annotation encoding="application/x-tex" id="S3.SS5.p3.10.m10.1c">\frac{M^{2}}{N}</annotation><annotation encoding="application/x-llamapun" id="S3.SS5.p3.10.m10.1d">divide start_ARG italic_M start_POSTSUPERSCRIPT 2 end_POSTSUPERSCRIPT end_ARG start_ARG italic_N end_ARG</annotation></semantics></math>. However, in the case of total imbalance, it tends to the number <math alttext="M" class="ltx_Math" display="inline" id="S3.SS5.p3.11.m11.1"><semantics id="S3.SS5.p3.11.m11.1a"><mi id="S3.SS5.p3.11.m11.1.1" xref="S3.SS5.p3.11.m11.1.1.cmml">M</mi><annotation-xml encoding="MathML-Content" id="S3.SS5.p3.11.m11.1b"><ci id="S3.SS5.p3.11.m11.1.1.cmml" xref="S3.SS5.p3.11.m11.1.1">𝑀</ci></annotation-xml><annotation encoding="application/x-tex" id="S3.SS5.p3.11.m11.1c">M</annotation><annotation encoding="application/x-llamapun" id="S3.SS5.p3.11.m11.1d">italic_M</annotation></semantics></math>. We aim to take a step further by assigning as many points as possible to low-resolution experts while discouraging point assignment to high-resolution models. Hence, we introduce some penalty terms <math alttext="w_{i}" class="ltx_Math" display="inline" id="S3.SS5.p3.12.m12.1"><semantics id="S3.SS5.p3.12.m12.1a"><msub id="S3.SS5.p3.12.m12.1.1" xref="S3.SS5.p3.12.m12.1.1.cmml"><mi id="S3.SS5.p3.12.m12.1.1.2" xref="S3.SS5.p3.12.m12.1.1.2.cmml">w</mi><mi id="S3.SS5.p3.12.m12.1.1.3" xref="S3.SS5.p3.12.m12.1.1.3.cmml">i</mi></msub><annotation-xml encoding="MathML-Content" id="S3.SS5.p3.12.m12.1b"><apply id="S3.SS5.p3.12.m12.1.1.cmml" xref="S3.SS5.p3.12.m12.1.1"><csymbol cd="ambiguous" id="S3.SS5.p3.12.m12.1.1.1.cmml" xref="S3.SS5.p3.12.m12.1.1">subscript</csymbol><ci id="S3.SS5.p3.12.m12.1.1.2.cmml" xref="S3.SS5.p3.12.m12.1.1.2">𝑤</ci><ci id="S3.SS5.p3.12.m12.1.1.3.cmml" xref="S3.SS5.p3.12.m12.1.1.3">𝑖</ci></apply></annotation-xml><annotation encoding="application/x-tex" id="S3.SS5.p3.12.m12.1c">w_{i}</annotation><annotation encoding="application/x-llamapun" id="S3.SS5.p3.12.m12.1d">italic_w start_POSTSUBSCRIPT italic_i end_POSTSUBSCRIPT</annotation></semantics></math> associated with each expert. The higher the resolution of the model, the higher the penalty. We define a novel resolution-based auxiliary loss: <table class="ltx_equation ltx_eqn_table" id="S3.E11"> <tbody><tr class="ltx_equation ltx_eqn_row ltx_align_baseline"> <td class="ltx_eqn_cell ltx_eqn_center_padleft"></td> <td class="ltx_eqn_cell ltx_align_center"><math alttext="L_{\text{rw-aux}}=\frac{M}{|B|^{2}}\sum_{i=1}^{M}c_{i}m_{i}w_{i}.\qquad" class="ltx_Math" display="block" id="S3.E11.m1.2"><semantics id="S3.E11.m1.2a"><mrow id="S3.E11.m1.2.2.1" xref="S3.E11.m1.2.2.1.1.cmml"><mrow id="S3.E11.m1.2.2.1.1" xref="S3.E11.m1.2.2.1.1.cmml"><msub id="S3.E11.m1.2.2.1.1.2" xref="S3.E11.m1.2.2.1.1.2.cmml"><mi id="S3.E11.m1.2.2.1.1.2.2" xref="S3.E11.m1.2.2.1.1.2.2.cmml">L</mi><mtext id="S3.E11.m1.2.2.1.1.2.3" xref="S3.E11.m1.2.2.1.1.2.3a.cmml">rw-aux</mtext></msub><mo id="S3.E11.m1.2.2.1.1.1" xref="S3.E11.m1.2.2.1.1.1.cmml">=</mo><mrow id="S3.E11.m1.2.2.1.1.3" xref="S3.E11.m1.2.2.1.1.3.cmml"><mfrac id="S3.E11.m1.1.1" xref="S3.E11.m1.1.1.cmml"><mi id="S3.E11.m1.1.1.3" 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xref="S3.E11.m1.2.2.1.1.3.2.1.2.3.1.cmml">=</mo><mn id="S3.E11.m1.2.2.1.1.3.2.1.2.3.3" xref="S3.E11.m1.2.2.1.1.3.2.1.2.3.3.cmml">1</mn></mrow><mi id="S3.E11.m1.2.2.1.1.3.2.1.3" xref="S3.E11.m1.2.2.1.1.3.2.1.3.cmml">M</mi></munderover><mrow id="S3.E11.m1.2.2.1.1.3.2.2" xref="S3.E11.m1.2.2.1.1.3.2.2.cmml"><msub id="S3.E11.m1.2.2.1.1.3.2.2.2" xref="S3.E11.m1.2.2.1.1.3.2.2.2.cmml"><mi id="S3.E11.m1.2.2.1.1.3.2.2.2.2" xref="S3.E11.m1.2.2.1.1.3.2.2.2.2.cmml">c</mi><mi id="S3.E11.m1.2.2.1.1.3.2.2.2.3" xref="S3.E11.m1.2.2.1.1.3.2.2.2.3.cmml">i</mi></msub><mo id="S3.E11.m1.2.2.1.1.3.2.2.1" xref="S3.E11.m1.2.2.1.1.3.2.2.1.cmml">⁢</mo><msub id="S3.E11.m1.2.2.1.1.3.2.2.3" xref="S3.E11.m1.2.2.1.1.3.2.2.3.cmml"><mi id="S3.E11.m1.2.2.1.1.3.2.2.3.2" xref="S3.E11.m1.2.2.1.1.3.2.2.3.2.cmml">m</mi><mi id="S3.E11.m1.2.2.1.1.3.2.2.3.3" xref="S3.E11.m1.2.2.1.1.3.2.2.3.3.cmml">i</mi></msub><mo id="S3.E11.m1.2.2.1.1.3.2.2.1a" xref="S3.E11.m1.2.2.1.1.3.2.2.1.cmml">⁢</mo><msub id="S3.E11.m1.2.2.1.1.3.2.2.4" 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id="S3.E11.m1.2.2.1.1.3.2.2.4.3.cmml" xref="S3.E11.m1.2.2.1.1.3.2.2.4.3">𝑖</ci></apply></apply></apply></apply></apply></annotation-xml><annotation encoding="application/x-tex" id="S3.E11.m1.2c">L_{\text{rw-aux}}=\frac{M}{|B|^{2}}\sum_{i=1}^{M}c_{i}m_{i}w_{i}.\qquad</annotation><annotation encoding="application/x-llamapun" id="S3.E11.m1.2d">italic_L start_POSTSUBSCRIPT rw-aux end_POSTSUBSCRIPT = divide start_ARG italic_M end_ARG start_ARG | italic_B | start_POSTSUPERSCRIPT 2 end_POSTSUPERSCRIPT end_ARG ∑ start_POSTSUBSCRIPT italic_i = 1 end_POSTSUBSCRIPT start_POSTSUPERSCRIPT italic_M end_POSTSUPERSCRIPT italic_c start_POSTSUBSCRIPT italic_i end_POSTSUBSCRIPT italic_m start_POSTSUBSCRIPT italic_i end_POSTSUBSCRIPT italic_w start_POSTSUBSCRIPT italic_i end_POSTSUBSCRIPT .</annotation></semantics></math></td> <td class="ltx_eqn_cell ltx_eqn_center_padright"></td> <td class="ltx_eqn_cell ltx_eqn_eqno ltx_align_middle ltx_align_right" rowspan="1">(11)</td> </tr></tbody> </table> </div> <div class="ltx_para" id="S3.SS5.p4"> As for the weighting strategy, we opted for the following geometric progression. The weight <math alttext="w_{i}" class="ltx_Math" display="inline" id="S3.SS5.p4.1.m1.1"><semantics id="S3.SS5.p4.1.m1.1a"><msub id="S3.SS5.p4.1.m1.1.1" xref="S3.SS5.p4.1.m1.1.1.cmml"><mi id="S3.SS5.p4.1.m1.1.1.2" xref="S3.SS5.p4.1.m1.1.1.2.cmml">w</mi><mi id="S3.SS5.p4.1.m1.1.1.3" xref="S3.SS5.p4.1.m1.1.1.3.cmml">i</mi></msub><annotation-xml encoding="MathML-Content" id="S3.SS5.p4.1.m1.1b"><apply id="S3.SS5.p4.1.m1.1.1.cmml" xref="S3.SS5.p4.1.m1.1.1"><csymbol cd="ambiguous" id="S3.SS5.p4.1.m1.1.1.1.cmml" xref="S3.SS5.p4.1.m1.1.1">subscript</csymbol><ci id="S3.SS5.p4.1.m1.1.1.2.cmml" xref="S3.SS5.p4.1.m1.1.1.2">𝑤</ci><ci id="S3.SS5.p4.1.m1.1.1.3.cmml" xref="S3.SS5.p4.1.m1.1.1.3">𝑖</ci></apply></annotation-xml><annotation encoding="application/x-tex" id="S3.SS5.p4.1.m1.1c">w_{i}</annotation><annotation encoding="application/x-llamapun" id="S3.SS5.p4.1.m1.1d">italic_w start_POSTSUBSCRIPT italic_i end_POSTSUBSCRIPT</annotation></semantics></math> for the <math alttext="i" class="ltx_Math" display="inline" id="S3.SS5.p4.2.m2.1"><semantics id="S3.SS5.p4.2.m2.1a"><mi id="S3.SS5.p4.2.m2.1.1" xref="S3.SS5.p4.2.m2.1.1.cmml">i</mi><annotation-xml encoding="MathML-Content" id="S3.SS5.p4.2.m2.1b"><ci id="S3.SS5.p4.2.m2.1.1.cmml" xref="S3.SS5.p4.2.m2.1.1">𝑖</ci></annotation-xml><annotation encoding="application/x-tex" id="S3.SS5.p4.2.m2.1c">i</annotation><annotation encoding="application/x-llamapun" id="S3.SS5.p4.2.m2.1d">italic_i</annotation></semantics></math> expert is computed as: </div> <div class="ltx_para" id="S3.SS5.p5"> <table class="ltx_equation ltx_eqn_table" id="S3.E12"> <tbody><tr class="ltx_equation ltx_eqn_row ltx_align_baseline"> <td class="ltx_eqn_cell ltx_eqn_center_padleft"></td> <td class="ltx_eqn_cell ltx_align_center"><math alttext="w_{i}=\exp\left(\frac{\ln M}{M-1}\right)^{i},\quad i\in[0,...,M-1]." class="ltx_math_unparsed" display="block" id="S3.E12.m1.2"><semantics id="S3.E12.m1.2a"><mrow id="S3.E12.m1.2b"><msub id="S3.E12.m1.2.3"><mi id="S3.E12.m1.2.3.2">w</mi><mi id="S3.E12.m1.2.3.3">i</mi></msub><mo id="S3.E12.m1.2.4">=</mo><mi id="S3.E12.m1.1.1">exp</mi><msup id="S3.E12.m1.2.5"><mrow id="S3.E12.m1.2.5.2"><mo id="S3.E12.m1.2.5.2.1">(</mo><mfrac id="S3.E12.m1.2.2"><mrow id="S3.E12.m1.2.2.2"><mi id="S3.E12.m1.2.2.2.1">ln</mi><mo id="S3.E12.m1.2.2.2a" lspace="0.167em">⁡</mo><mi id="S3.E12.m1.2.2.2.2">M</mi></mrow><mrow id="S3.E12.m1.2.2.3"><mi id="S3.E12.m1.2.2.3.2">M</mi><mo id="S3.E12.m1.2.2.3.1">−</mo><mn id="S3.E12.m1.2.2.3.3">1</mn></mrow></mfrac><mo id="S3.E12.m1.2.5.2.2">)</mo></mrow><mi id="S3.E12.m1.2.5.3">i</mi></msup><mo id="S3.E12.m1.2.6" rspace="1.167em">,</mo><mi id="S3.E12.m1.2.7">i</mi><mo id="S3.E12.m1.2.8">∈</mo><mrow id="S3.E12.m1.2.9"><mo id="S3.E12.m1.2.9.1" stretchy="false">[</mo><mn id="S3.E12.m1.2.9.2">0</mn><mo id="S3.E12.m1.2.9.3">,</mo><mi id="S3.E12.m1.2.9.4" mathvariant="normal">…</mi><mo id="S3.E12.m1.2.9.5">,</mo><mi id="S3.E12.m1.2.9.6">M</mi><mo id="S3.E12.m1.2.9.7">−</mo><mn id="S3.E12.m1.2.9.8">1</mn><mo id="S3.E12.m1.2.9.9" stretchy="false">]</mo></mrow><mo id="S3.E12.m1.2.10" lspace="0em">.</mo></mrow><annotation encoding="application/x-tex" id="S3.E12.m1.2c">w_{i}=\exp\left(\frac{\ln M}{M-1}\right)^{i},\quad i\in[0,...,M-1].</annotation><annotation encoding="application/x-llamapun" id="S3.E12.m1.2d">italic_w start_POSTSUBSCRIPT italic_i end_POSTSUBSCRIPT = roman_exp ( divide start_ARG roman_ln italic_M end_ARG start_ARG italic_M - 1 end_ARG ) start_POSTSUPERSCRIPT italic_i end_POSTSUPERSCRIPT , italic_i ∈ [ 0 , … , italic_M - 1 ] .</annotation></semantics></math></td> <td class="ltx_eqn_cell ltx_eqn_center_padright"></td> <td class="ltx_eqn_cell ltx_eqn_eqno ltx_align_middle ltx_align_right" rowspan="1">(12)</td> </tr></tbody> </table> </div> <div class="ltx_para" id="S3.SS5.p6"> The total loss is then defined as: <table class="ltx_equation ltx_eqn_table" id="S3.E13"> <tbody><tr class="ltx_equation ltx_eqn_row ltx_align_baseline"> <td class="ltx_eqn_cell ltx_eqn_center_padleft"></td> <td class="ltx_eqn_cell ltx_align_center"><math alttext="L_{\text{tot}}=L_{\text{nerf}}+\lambda L_{\text{rw-aux}}." class="ltx_Math" display="block" id="S3.E13.m1.1"><semantics id="S3.E13.m1.1a"><mrow id="S3.E13.m1.1.1.1" xref="S3.E13.m1.1.1.1.1.cmml"><mrow id="S3.E13.m1.1.1.1.1" xref="S3.E13.m1.1.1.1.1.cmml"><msub id="S3.E13.m1.1.1.1.1.2" xref="S3.E13.m1.1.1.1.1.2.cmml"><mi id="S3.E13.m1.1.1.1.1.2.2" xref="S3.E13.m1.1.1.1.1.2.2.cmml">L</mi><mtext id="S3.E13.m1.1.1.1.1.2.3" xref="S3.E13.m1.1.1.1.1.2.3a.cmml">tot</mtext></msub><mo id="S3.E13.m1.1.1.1.1.1" xref="S3.E13.m1.1.1.1.1.1.cmml">=</mo><mrow id="S3.E13.m1.1.1.1.1.3" xref="S3.E13.m1.1.1.1.1.3.cmml"><msub id="S3.E13.m1.1.1.1.1.3.2" xref="S3.E13.m1.1.1.1.1.3.2.cmml"><mi id="S3.E13.m1.1.1.1.1.3.2.2" xref="S3.E13.m1.1.1.1.1.3.2.2.cmml">L</mi><mtext id="S3.E13.m1.1.1.1.1.3.2.3" xref="S3.E13.m1.1.1.1.1.3.2.3a.cmml">nerf</mtext></msub><mo id="S3.E13.m1.1.1.1.1.3.1" xref="S3.E13.m1.1.1.1.1.3.1.cmml">+</mo><mrow id="S3.E13.m1.1.1.1.1.3.3" xref="S3.E13.m1.1.1.1.1.3.3.cmml"><mi id="S3.E13.m1.1.1.1.1.3.3.2" xref="S3.E13.m1.1.1.1.1.3.3.2.cmml">λ</mi><mo id="S3.E13.m1.1.1.1.1.3.3.1" xref="S3.E13.m1.1.1.1.1.3.3.1.cmml">⁢</mo><msub id="S3.E13.m1.1.1.1.1.3.3.3" xref="S3.E13.m1.1.1.1.1.3.3.3.cmml"><mi id="S3.E13.m1.1.1.1.1.3.3.3.2" xref="S3.E13.m1.1.1.1.1.3.3.3.2.cmml">L</mi><mtext id="S3.E13.m1.1.1.1.1.3.3.3.3" xref="S3.E13.m1.1.1.1.1.3.3.3.3a.cmml">rw-aux</mtext></msub></mrow></mrow></mrow><mo id="S3.E13.m1.1.1.1.2" lspace="0em" xref="S3.E13.m1.1.1.1.1.cmml">.</mo></mrow><annotation-xml encoding="MathML-Content" id="S3.E13.m1.1b"><apply id="S3.E13.m1.1.1.1.1.cmml" xref="S3.E13.m1.1.1.1"><eq id="S3.E13.m1.1.1.1.1.1.cmml" xref="S3.E13.m1.1.1.1.1.1"></eq><apply id="S3.E13.m1.1.1.1.1.2.cmml" xref="S3.E13.m1.1.1.1.1.2"><csymbol cd="ambiguous" id="S3.E13.m1.1.1.1.1.2.1.cmml" xref="S3.E13.m1.1.1.1.1.2">subscript</csymbol><ci id="S3.E13.m1.1.1.1.1.2.2.cmml" xref="S3.E13.m1.1.1.1.1.2.2">𝐿</ci><ci id="S3.E13.m1.1.1.1.1.2.3a.cmml" xref="S3.E13.m1.1.1.1.1.2.3"><mtext id="S3.E13.m1.1.1.1.1.2.3.cmml" mathsize="70%" xref="S3.E13.m1.1.1.1.1.2.3">tot</mtext></ci></apply><apply id="S3.E13.m1.1.1.1.1.3.cmml" xref="S3.E13.m1.1.1.1.1.3"><plus id="S3.E13.m1.1.1.1.1.3.1.cmml" xref="S3.E13.m1.1.1.1.1.3.1"></plus><apply id="S3.E13.m1.1.1.1.1.3.2.cmml" xref="S3.E13.m1.1.1.1.1.3.2"><csymbol cd="ambiguous" id="S3.E13.m1.1.1.1.1.3.2.1.cmml" xref="S3.E13.m1.1.1.1.1.3.2">subscript</csymbol><ci id="S3.E13.m1.1.1.1.1.3.2.2.cmml" xref="S3.E13.m1.1.1.1.1.3.2.2">𝐿</ci><ci id="S3.E13.m1.1.1.1.1.3.2.3a.cmml" xref="S3.E13.m1.1.1.1.1.3.2.3"><mtext id="S3.E13.m1.1.1.1.1.3.2.3.cmml" mathsize="70%" xref="S3.E13.m1.1.1.1.1.3.2.3">nerf</mtext></ci></apply><apply id="S3.E13.m1.1.1.1.1.3.3.cmml" xref="S3.E13.m1.1.1.1.1.3.3"><times id="S3.E13.m1.1.1.1.1.3.3.1.cmml" xref="S3.E13.m1.1.1.1.1.3.3.1"></times><ci id="S3.E13.m1.1.1.1.1.3.3.2.cmml" xref="S3.E13.m1.1.1.1.1.3.3.2">𝜆</ci><apply id="S3.E13.m1.1.1.1.1.3.3.3.cmml" xref="S3.E13.m1.1.1.1.1.3.3.3"><csymbol cd="ambiguous" id="S3.E13.m1.1.1.1.1.3.3.3.1.cmml" xref="S3.E13.m1.1.1.1.1.3.3.3">subscript</csymbol><ci id="S3.E13.m1.1.1.1.1.3.3.3.2.cmml" xref="S3.E13.m1.1.1.1.1.3.3.3.2">𝐿</ci><ci id="S3.E13.m1.1.1.1.1.3.3.3.3a.cmml" xref="S3.E13.m1.1.1.1.1.3.3.3.3"><mtext id="S3.E13.m1.1.1.1.1.3.3.3.3.cmml" mathsize="70%" xref="S3.E13.m1.1.1.1.1.3.3.3.3">rw-aux</mtext></ci></apply></apply></apply></apply></annotation-xml><annotation encoding="application/x-tex" id="S3.E13.m1.1c">L_{\text{tot}}=L_{\text{nerf}}+\lambda L_{\text{rw-aux}}.</annotation><annotation encoding="application/x-llamapun" id="S3.E13.m1.1d">italic_L start_POSTSUBSCRIPT tot end_POSTSUBSCRIPT = italic_L start_POSTSUBSCRIPT nerf end_POSTSUBSCRIPT + italic_λ italic_L start_POSTSUBSCRIPT rw-aux end_POSTSUBSCRIPT .</annotation></semantics></math></td> <td class="ltx_eqn_cell ltx_eqn_center_padright"></td> <td class="ltx_eqn_cell ltx_eqn_eqno ltx_align_middle ltx_align_right" rowspan="1">(13)</td> </tr></tbody> </table> As we will see in Sec. <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S4" title="4 Experiments ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">4</a>, our proposed loss not only further improves the reconstruction quality but also encourages sparsity in higher-resolution models. A comparison with other weighting strategies is proposed in the Supplementary <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S9" title="9 Resolution Penalties ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">9</a>. </div> </section> </section> <section class="ltx_section" id="S4"> <h2 class="ltx_title ltx_title_section"> 4 Experiments</h2> <section class="ltx_subsection" id="S4.SS1"> <h3 class="ltx_title ltx_title_subsection"> 4.1 Setting</h3> <div class="ltx_para" id="S4.SS1.p1"> The code was written in Python 3.8, using PyTorch 1.12, and executed on a single NVIDIA A40 GPU. We tested our technique on the DVGO, TensoRF, and Instant-NGP architecture. The code from official repositories was used as the starting point. For Instant-NGP, the native implementation in PyTorch ngp_pl was employed, which exhibits comparable performance and reconstruction quality to the official NVIDIA implementation. We experimented with various configurations, ranging from a minimum of 3 models to 5 models of different resolutions. The experts are ordered by resolution, such that the <math alttext="i+1" class="ltx_Math" display="inline" id="S4.SS1.p1.1.m1.1"><semantics id="S4.SS1.p1.1.m1.1a"><mrow id="S4.SS1.p1.1.m1.1.1" xref="S4.SS1.p1.1.m1.1.1.cmml"><mi id="S4.SS1.p1.1.m1.1.1.2" xref="S4.SS1.p1.1.m1.1.1.2.cmml">i</mi><mo id="S4.SS1.p1.1.m1.1.1.1" xref="S4.SS1.p1.1.m1.1.1.1.cmml">+</mo><mn id="S4.SS1.p1.1.m1.1.1.3" xref="S4.SS1.p1.1.m1.1.1.3.cmml">1</mn></mrow><annotation-xml encoding="MathML-Content" id="S4.SS1.p1.1.m1.1b"><apply id="S4.SS1.p1.1.m1.1.1.cmml" xref="S4.SS1.p1.1.m1.1.1"><plus id="S4.SS1.p1.1.m1.1.1.1.cmml" xref="S4.SS1.p1.1.m1.1.1.1"></plus><ci id="S4.SS1.p1.1.m1.1.1.2.cmml" xref="S4.SS1.p1.1.m1.1.1.2">𝑖</ci><cn id="S4.SS1.p1.1.m1.1.1.3.cmml" type="integer" xref="S4.SS1.p1.1.m1.1.1.3">1</cn></apply></annotation-xml><annotation encoding="application/x-tex" id="S4.SS1.p1.1.m1.1c">i+1</annotation><annotation encoding="application/x-llamapun" id="S4.SS1.p1.1.m1.1d">italic_i + 1</annotation></semantics></math>-th expert has approximately double the parameters of the <math alttext="i" class="ltx_Math" display="inline" id="S4.SS1.p1.2.m2.1"><semantics id="S4.SS1.p1.2.m2.1a"><mi id="S4.SS1.p1.2.m2.1.1" xref="S4.SS1.p1.2.m2.1.1.cmml">i</mi><annotation-xml encoding="MathML-Content" id="S4.SS1.p1.2.m2.1b"><ci id="S4.SS1.p1.2.m2.1.1.cmml" xref="S4.SS1.p1.2.m2.1.1">𝑖</ci></annotation-xml><annotation encoding="application/x-tex" id="S4.SS1.p1.2.m2.1c">i</annotation><annotation encoding="application/x-llamapun" id="S4.SS1.p1.2.m2.1d">italic_i</annotation></semantics></math>-th expert. For all configurations and models, <math alttext="\lambda" class="ltx_Math" display="inline" id="S4.SS1.p1.3.m3.1"><semantics id="S4.SS1.p1.3.m3.1a"><mi id="S4.SS1.p1.3.m3.1.1" xref="S4.SS1.p1.3.m3.1.1.cmml">λ</mi><annotation-xml encoding="MathML-Content" id="S4.SS1.p1.3.m3.1b"><ci id="S4.SS1.p1.3.m3.1.1.cmml" xref="S4.SS1.p1.3.m3.1.1">𝜆</ci></annotation-xml><annotation encoding="application/x-tex" id="S4.SS1.p1.3.m3.1c">\lambda</annotation><annotation encoding="application/x-llamapun" id="S4.SS1.p1.3.m3.1d">italic_λ</annotation></semantics></math> was set to <math alttext="10^{-3}" class="ltx_Math" display="inline" id="S4.SS1.p1.4.m4.1"><semantics id="S4.SS1.p1.4.m4.1a"><msup id="S4.SS1.p1.4.m4.1.1" xref="S4.SS1.p1.4.m4.1.1.cmml"><mn id="S4.SS1.p1.4.m4.1.1.2" xref="S4.SS1.p1.4.m4.1.1.2.cmml">10</mn><mrow id="S4.SS1.p1.4.m4.1.1.3" xref="S4.SS1.p1.4.m4.1.1.3.cmml"><mo id="S4.SS1.p1.4.m4.1.1.3a" xref="S4.SS1.p1.4.m4.1.1.3.cmml">−</mo><mn id="S4.SS1.p1.4.m4.1.1.3.2" xref="S4.SS1.p1.4.m4.1.1.3.2.cmml">3</mn></mrow></msup><annotation-xml encoding="MathML-Content" id="S4.SS1.p1.4.m4.1b"><apply id="S4.SS1.p1.4.m4.1.1.cmml" xref="S4.SS1.p1.4.m4.1.1"><csymbol cd="ambiguous" id="S4.SS1.p1.4.m4.1.1.1.cmml" xref="S4.SS1.p1.4.m4.1.1">superscript</csymbol><cn id="S4.SS1.p1.4.m4.1.1.2.cmml" type="integer" xref="S4.SS1.p1.4.m4.1.1.2">10</cn><apply id="S4.SS1.p1.4.m4.1.1.3.cmml" xref="S4.SS1.p1.4.m4.1.1.3"><minus id="S4.SS1.p1.4.m4.1.1.3.1.cmml" xref="S4.SS1.p1.4.m4.1.1.3"></minus><cn id="S4.SS1.p1.4.m4.1.1.3.2.cmml" type="integer" xref="S4.SS1.p1.4.m4.1.1.3.2">3</cn></apply></apply></annotation-xml><annotation encoding="application/x-tex" id="S4.SS1.p1.4.m4.1c">10^{-3}</annotation><annotation encoding="application/x-llamapun" id="S4.SS1.p1.4.m4.1d">10 start_POSTSUPERSCRIPT - 3 end_POSTSUPERSCRIPT</annotation></semantics></math>. The Gate consists of a grid (dense voxel grid for DVGO, factorized grid for TensoRF, and hash grid for Instant-NGP) and a shallow MLP (2 layers with 64 neurons each) with ReLU activation function. The resolution of the gate is low: <math alttext="128^{3}" class="ltx_Math" display="inline" id="S4.SS1.p1.5.m5.1"><semantics id="S4.SS1.p1.5.m5.1a"><msup id="S4.SS1.p1.5.m5.1.1" xref="S4.SS1.p1.5.m5.1.1.cmml"><mn id="S4.SS1.p1.5.m5.1.1.2" xref="S4.SS1.p1.5.m5.1.1.2.cmml">128</mn><mn id="S4.SS1.p1.5.m5.1.1.3" xref="S4.SS1.p1.5.m5.1.1.3.cmml">3</mn></msup><annotation-xml encoding="MathML-Content" id="S4.SS1.p1.5.m5.1b"><apply id="S4.SS1.p1.5.m5.1.1.cmml" xref="S4.SS1.p1.5.m5.1.1"><csymbol cd="ambiguous" id="S4.SS1.p1.5.m5.1.1.1.cmml" xref="S4.SS1.p1.5.m5.1.1">superscript</csymbol><cn id="S4.SS1.p1.5.m5.1.1.2.cmml" type="integer" xref="S4.SS1.p1.5.m5.1.1.2">128</cn><cn id="S4.SS1.p1.5.m5.1.1.3.cmml" type="integer" xref="S4.SS1.p1.5.m5.1.1.3">3</cn></apply></annotation-xml><annotation encoding="application/x-tex" id="S4.SS1.p1.5.m5.1c">128^{3}</annotation><annotation encoding="application/x-llamapun" id="S4.SS1.p1.5.m5.1d">128 start_POSTSUPERSCRIPT 3 end_POSTSUPERSCRIPT</annotation></semantics></math> for both DVGO and TensoRF, while for Instant-NGP we used <math alttext="L=6" class="ltx_Math" display="inline" id="S4.SS1.p1.6.m6.1"><semantics id="S4.SS1.p1.6.m6.1a"><mrow id="S4.SS1.p1.6.m6.1.1" xref="S4.SS1.p1.6.m6.1.1.cmml"><mi id="S4.SS1.p1.6.m6.1.1.2" xref="S4.SS1.p1.6.m6.1.1.2.cmml">L</mi><mo id="S4.SS1.p1.6.m6.1.1.1" xref="S4.SS1.p1.6.m6.1.1.1.cmml">=</mo><mn id="S4.SS1.p1.6.m6.1.1.3" xref="S4.SS1.p1.6.m6.1.1.3.cmml">6</mn></mrow><annotation-xml encoding="MathML-Content" id="S4.SS1.p1.6.m6.1b"><apply id="S4.SS1.p1.6.m6.1.1.cmml" xref="S4.SS1.p1.6.m6.1.1"><eq id="S4.SS1.p1.6.m6.1.1.1.cmml" xref="S4.SS1.p1.6.m6.1.1.1"></eq><ci id="S4.SS1.p1.6.m6.1.1.2.cmml" xref="S4.SS1.p1.6.m6.1.1.2">𝐿</ci><cn id="S4.SS1.p1.6.m6.1.1.3.cmml" type="integer" xref="S4.SS1.p1.6.m6.1.1.3">6</cn></apply></annotation-xml><annotation encoding="application/x-tex" id="S4.SS1.p1.6.m6.1c">L=6</annotation><annotation encoding="application/x-llamapun" id="S4.SS1.p1.6.m6.1d">italic_L = 6</annotation></semantics></math>. The number of iterations is set to <math alttext="20k" class="ltx_Math" display="inline" id="S4.SS1.p1.7.m7.1"><semantics id="S4.SS1.p1.7.m7.1a"><mrow id="S4.SS1.p1.7.m7.1.1" xref="S4.SS1.p1.7.m7.1.1.cmml"><mn id="S4.SS1.p1.7.m7.1.1.2" xref="S4.SS1.p1.7.m7.1.1.2.cmml">20</mn><mo id="S4.SS1.p1.7.m7.1.1.1" xref="S4.SS1.p1.7.m7.1.1.1.cmml">⁢</mo><mi id="S4.SS1.p1.7.m7.1.1.3" xref="S4.SS1.p1.7.m7.1.1.3.cmml">k</mi></mrow><annotation-xml encoding="MathML-Content" id="S4.SS1.p1.7.m7.1b"><apply id="S4.SS1.p1.7.m7.1.1.cmml" xref="S4.SS1.p1.7.m7.1.1"><times id="S4.SS1.p1.7.m7.1.1.1.cmml" xref="S4.SS1.p1.7.m7.1.1.1"></times><cn id="S4.SS1.p1.7.m7.1.1.2.cmml" type="integer" xref="S4.SS1.p1.7.m7.1.1.2">20</cn><ci id="S4.SS1.p1.7.m7.1.1.3.cmml" xref="S4.SS1.p1.7.m7.1.1.3">𝑘</ci></apply></annotation-xml><annotation encoding="application/x-tex" id="S4.SS1.p1.7.m7.1c">20k</annotation><annotation encoding="application/x-llamapun" id="S4.SS1.p1.7.m7.1d">20 italic_k</annotation></semantics></math> for all the architectures. All other hyperparameters are left as the original implementations. We draw experiments with our method using Top-<math alttext="k" class="ltx_Math" display="inline" id="S4.SS1.p1.8.m8.1"><semantics id="S4.SS1.p1.8.m8.1a"><mi id="S4.SS1.p1.8.m8.1.1" xref="S4.SS1.p1.8.m8.1.1.cmml">k</mi><annotation-xml encoding="MathML-Content" id="S4.SS1.p1.8.m8.1b"><ci id="S4.SS1.p1.8.m8.1.1.cmml" xref="S4.SS1.p1.8.m8.1.1">𝑘</ci></annotation-xml><annotation encoding="application/x-tex" id="S4.SS1.p1.8.m8.1c">k</annotation><annotation encoding="application/x-llamapun" id="S4.SS1.p1.8.m8.1d">italic_k</annotation></semantics></math> experts, with <math alttext="k=1" class="ltx_Math" display="inline" id="S4.SS1.p1.9.m9.1"><semantics id="S4.SS1.p1.9.m9.1a"><mrow id="S4.SS1.p1.9.m9.1.1" xref="S4.SS1.p1.9.m9.1.1.cmml"><mi id="S4.SS1.p1.9.m9.1.1.2" xref="S4.SS1.p1.9.m9.1.1.2.cmml">k</mi><mo id="S4.SS1.p1.9.m9.1.1.1" xref="S4.SS1.p1.9.m9.1.1.1.cmml">=</mo><mn id="S4.SS1.p1.9.m9.1.1.3" xref="S4.SS1.p1.9.m9.1.1.3.cmml">1</mn></mrow><annotation-xml encoding="MathML-Content" id="S4.SS1.p1.9.m9.1b"><apply id="S4.SS1.p1.9.m9.1.1.cmml" xref="S4.SS1.p1.9.m9.1.1"><eq id="S4.SS1.p1.9.m9.1.1.1.cmml" xref="S4.SS1.p1.9.m9.1.1.1"></eq><ci id="S4.SS1.p1.9.m9.1.1.2.cmml" xref="S4.SS1.p1.9.m9.1.1.2">𝑘</ci><cn id="S4.SS1.p1.9.m9.1.1.3.cmml" type="integer" xref="S4.SS1.p1.9.m9.1.1.3">1</cn></apply></annotation-xml><annotation encoding="application/x-tex" id="S4.SS1.p1.9.m9.1c">k=1</annotation><annotation encoding="application/x-llamapun" id="S4.SS1.p1.9.m9.1d">italic_k = 1</annotation></semantics></math> and <math alttext="k=2" class="ltx_Math" display="inline" id="S4.SS1.p1.10.m10.1"><semantics id="S4.SS1.p1.10.m10.1a"><mrow id="S4.SS1.p1.10.m10.1.1" xref="S4.SS1.p1.10.m10.1.1.cmml"><mi id="S4.SS1.p1.10.m10.1.1.2" xref="S4.SS1.p1.10.m10.1.1.2.cmml">k</mi><mo id="S4.SS1.p1.10.m10.1.1.1" xref="S4.SS1.p1.10.m10.1.1.1.cmml">=</mo><mn id="S4.SS1.p1.10.m10.1.1.3" xref="S4.SS1.p1.10.m10.1.1.3.cmml">2</mn></mrow><annotation-xml encoding="MathML-Content" id="S4.SS1.p1.10.m10.1b"><apply id="S4.SS1.p1.10.m10.1.1.cmml" xref="S4.SS1.p1.10.m10.1.1"><eq id="S4.SS1.p1.10.m10.1.1.1.cmml" xref="S4.SS1.p1.10.m10.1.1.1"></eq><ci id="S4.SS1.p1.10.m10.1.1.2.cmml" xref="S4.SS1.p1.10.m10.1.1.2">𝑘</ci><cn id="S4.SS1.p1.10.m10.1.1.3.cmml" type="integer" xref="S4.SS1.p1.10.m10.1.1.3">2</cn></apply></annotation-xml><annotation encoding="application/x-tex" id="S4.SS1.p1.10.m10.1c">k=2</annotation><annotation encoding="application/x-llamapun" id="S4.SS1.p1.10.m10.1d">italic_k = 2</annotation></semantics></math>. We compare our results versus baselines with comparable resolutions, as well as a Fast-NeRF ensemble (Ens) obtained by jointly fine-tuning all models and averaging their predictions. It can be noted that this ensemble can be interpreted as a limit case for our method with <math alttext="k=M" class="ltx_Math" display="inline" id="S4.SS1.p1.11.m11.1"><semantics id="S4.SS1.p1.11.m11.1a"><mrow id="S4.SS1.p1.11.m11.1.1" xref="S4.SS1.p1.11.m11.1.1.cmml"><mi id="S4.SS1.p1.11.m11.1.1.2" xref="S4.SS1.p1.11.m11.1.1.2.cmml">k</mi><mo id="S4.SS1.p1.11.m11.1.1.1" xref="S4.SS1.p1.11.m11.1.1.1.cmml">=</mo><mi id="S4.SS1.p1.11.m11.1.1.3" xref="S4.SS1.p1.11.m11.1.1.3.cmml">M</mi></mrow><annotation-xml encoding="MathML-Content" id="S4.SS1.p1.11.m11.1b"><apply id="S4.SS1.p1.11.m11.1.1.cmml" xref="S4.SS1.p1.11.m11.1.1"><eq id="S4.SS1.p1.11.m11.1.1.1.cmml" xref="S4.SS1.p1.11.m11.1.1.1"></eq><ci id="S4.SS1.p1.11.m11.1.1.2.cmml" xref="S4.SS1.p1.11.m11.1.1.2">𝑘</ci><ci id="S4.SS1.p1.11.m11.1.1.3.cmml" xref="S4.SS1.p1.11.m11.1.1.3">𝑀</ci></apply></annotation-xml><annotation encoding="application/x-tex" id="S4.SS1.p1.11.m11.1c">k=M</annotation><annotation encoding="application/x-llamapun" id="S4.SS1.p1.11.m11.1d">italic_k = italic_M</annotation></semantics></math> and <math alttext="G(\mathbf{x}_{f})_{i}=1/M,\forall i" class="ltx_Math" display="inline" id="S4.SS1.p1.12.m12.3"><semantics id="S4.SS1.p1.12.m12.3a"><mrow id="S4.SS1.p1.12.m12.3.3" xref="S4.SS1.p1.12.m12.3.3.cmml"><mrow id="S4.SS1.p1.12.m12.1.1.1" xref="S4.SS1.p1.12.m12.1.1.1.cmml"><mi id="S4.SS1.p1.12.m12.1.1.1.3" xref="S4.SS1.p1.12.m12.1.1.1.3.cmml">G</mi><mo id="S4.SS1.p1.12.m12.1.1.1.2" xref="S4.SS1.p1.12.m12.1.1.1.2.cmml">⁢</mo><msub id="S4.SS1.p1.12.m12.1.1.1.1" xref="S4.SS1.p1.12.m12.1.1.1.1.cmml"><mrow id="S4.SS1.p1.12.m12.1.1.1.1.1.1" xref="S4.SS1.p1.12.m12.1.1.1.1.1.1.1.cmml"><mo id="S4.SS1.p1.12.m12.1.1.1.1.1.1.2" stretchy="false" xref="S4.SS1.p1.12.m12.1.1.1.1.1.1.1.cmml">(</mo><msub id="S4.SS1.p1.12.m12.1.1.1.1.1.1.1" xref="S4.SS1.p1.12.m12.1.1.1.1.1.1.1.cmml"><mi id="S4.SS1.p1.12.m12.1.1.1.1.1.1.1.2" xref="S4.SS1.p1.12.m12.1.1.1.1.1.1.1.2.cmml">𝐱</mi><mi id="S4.SS1.p1.12.m12.1.1.1.1.1.1.1.3" xref="S4.SS1.p1.12.m12.1.1.1.1.1.1.1.3.cmml">f</mi></msub><mo id="S4.SS1.p1.12.m12.1.1.1.1.1.1.3" stretchy="false" xref="S4.SS1.p1.12.m12.1.1.1.1.1.1.1.cmml">)</mo></mrow><mi id="S4.SS1.p1.12.m12.1.1.1.1.3" xref="S4.SS1.p1.12.m12.1.1.1.1.3.cmml">i</mi></msub></mrow><mo id="S4.SS1.p1.12.m12.3.3.4" xref="S4.SS1.p1.12.m12.3.3.4.cmml">=</mo><mrow id="S4.SS1.p1.12.m12.3.3.3.2" xref="S4.SS1.p1.12.m12.3.3.3.3.cmml"><mrow id="S4.SS1.p1.12.m12.2.2.2.1.1" xref="S4.SS1.p1.12.m12.2.2.2.1.1.cmml"><mn id="S4.SS1.p1.12.m12.2.2.2.1.1.2" xref="S4.SS1.p1.12.m12.2.2.2.1.1.2.cmml">1</mn><mo id="S4.SS1.p1.12.m12.2.2.2.1.1.1" xref="S4.SS1.p1.12.m12.2.2.2.1.1.1.cmml">/</mo><mi id="S4.SS1.p1.12.m12.2.2.2.1.1.3" xref="S4.SS1.p1.12.m12.2.2.2.1.1.3.cmml">M</mi></mrow><mo id="S4.SS1.p1.12.m12.3.3.3.2.3" xref="S4.SS1.p1.12.m12.3.3.3.3.cmml">,</mo><mrow id="S4.SS1.p1.12.m12.3.3.3.2.2" xref="S4.SS1.p1.12.m12.3.3.3.2.2.cmml"><mo id="S4.SS1.p1.12.m12.3.3.3.2.2.1" rspace="0.167em" xref="S4.SS1.p1.12.m12.3.3.3.2.2.1.cmml">∀</mo><mi id="S4.SS1.p1.12.m12.3.3.3.2.2.2" xref="S4.SS1.p1.12.m12.3.3.3.2.2.2.cmml">i</mi></mrow></mrow></mrow><annotation-xml encoding="MathML-Content" id="S4.SS1.p1.12.m12.3b"><apply id="S4.SS1.p1.12.m12.3.3.cmml" xref="S4.SS1.p1.12.m12.3.3"><eq id="S4.SS1.p1.12.m12.3.3.4.cmml" xref="S4.SS1.p1.12.m12.3.3.4"></eq><apply id="S4.SS1.p1.12.m12.1.1.1.cmml" xref="S4.SS1.p1.12.m12.1.1.1"><times id="S4.SS1.p1.12.m12.1.1.1.2.cmml" xref="S4.SS1.p1.12.m12.1.1.1.2"></times><ci id="S4.SS1.p1.12.m12.1.1.1.3.cmml" xref="S4.SS1.p1.12.m12.1.1.1.3">𝐺</ci><apply id="S4.SS1.p1.12.m12.1.1.1.1.cmml" xref="S4.SS1.p1.12.m12.1.1.1.1"><csymbol cd="ambiguous" id="S4.SS1.p1.12.m12.1.1.1.1.2.cmml" xref="S4.SS1.p1.12.m12.1.1.1.1">subscript</csymbol><apply id="S4.SS1.p1.12.m12.1.1.1.1.1.1.1.cmml" xref="S4.SS1.p1.12.m12.1.1.1.1.1.1"><csymbol cd="ambiguous" id="S4.SS1.p1.12.m12.1.1.1.1.1.1.1.1.cmml" xref="S4.SS1.p1.12.m12.1.1.1.1.1.1">subscript</csymbol><ci id="S4.SS1.p1.12.m12.1.1.1.1.1.1.1.2.cmml" xref="S4.SS1.p1.12.m12.1.1.1.1.1.1.1.2">𝐱</ci><ci id="S4.SS1.p1.12.m12.1.1.1.1.1.1.1.3.cmml" xref="S4.SS1.p1.12.m12.1.1.1.1.1.1.1.3">𝑓</ci></apply><ci id="S4.SS1.p1.12.m12.1.1.1.1.3.cmml" xref="S4.SS1.p1.12.m12.1.1.1.1.3">𝑖</ci></apply></apply><list id="S4.SS1.p1.12.m12.3.3.3.3.cmml" xref="S4.SS1.p1.12.m12.3.3.3.2"><apply id="S4.SS1.p1.12.m12.2.2.2.1.1.cmml" xref="S4.SS1.p1.12.m12.2.2.2.1.1"><divide id="S4.SS1.p1.12.m12.2.2.2.1.1.1.cmml" xref="S4.SS1.p1.12.m12.2.2.2.1.1.1"></divide><cn id="S4.SS1.p1.12.m12.2.2.2.1.1.2.cmml" type="integer" xref="S4.SS1.p1.12.m12.2.2.2.1.1.2">1</cn><ci id="S4.SS1.p1.12.m12.2.2.2.1.1.3.cmml" xref="S4.SS1.p1.12.m12.2.2.2.1.1.3">𝑀</ci></apply><apply id="S4.SS1.p1.12.m12.3.3.3.2.2.cmml" xref="S4.SS1.p1.12.m12.3.3.3.2.2"><csymbol cd="latexml" id="S4.SS1.p1.12.m12.3.3.3.2.2.1.cmml" xref="S4.SS1.p1.12.m12.3.3.3.2.2.1">for-all</csymbol><ci id="S4.SS1.p1.12.m12.3.3.3.2.2.2.cmml" xref="S4.SS1.p1.12.m12.3.3.3.2.2.2">𝑖</ci></apply></list></apply></annotation-xml><annotation encoding="application/x-tex" id="S4.SS1.p1.12.m12.3c">G(\mathbf{x}_{f})_{i}=1/M,\forall i</annotation><annotation encoding="application/x-llamapun" id="S4.SS1.p1.12.m12.3d">italic_G ( bold_x start_POSTSUBSCRIPT italic_f end_POSTSUBSCRIPT ) start_POSTSUBSCRIPT italic_i end_POSTSUBSCRIPT = 1 / italic_M , ∀ italic_i</annotation></semantics></math> similar to the method proposed by <cite class="ltx_cite ltx_citemacro_cite">[<a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#bib.bib8" title="">8</a>]</cite>. </div> <figure class="ltx_table" id="S4.T1"> <figcaption class="ltx_caption">Table 1: Results on DVGO, TensoRF and Instant-NGP with <math alttext="M=5" class="ltx_Math" display="inline" id="S4.T1.5.1.m1.1"><semantics id="S4.T1.5.1.m1.1b"><mrow id="S4.T1.5.1.m1.1.1" xref="S4.T1.5.1.m1.1.1.cmml"><mi id="S4.T1.5.1.m1.1.1.2" xref="S4.T1.5.1.m1.1.1.2.cmml">M</mi><mo id="S4.T1.5.1.m1.1.1.1" xref="S4.T1.5.1.m1.1.1.1.cmml">=</mo><mn id="S4.T1.5.1.m1.1.1.3" xref="S4.T1.5.1.m1.1.1.3.cmml">5</mn></mrow><annotation-xml encoding="MathML-Content" id="S4.T1.5.1.m1.1c"><apply id="S4.T1.5.1.m1.1.1.cmml" xref="S4.T1.5.1.m1.1.1"><eq id="S4.T1.5.1.m1.1.1.1.cmml" xref="S4.T1.5.1.m1.1.1.1"></eq><ci id="S4.T1.5.1.m1.1.1.2.cmml" xref="S4.T1.5.1.m1.1.1.2">𝑀</ci><cn id="S4.T1.5.1.m1.1.1.3.cmml" type="integer" xref="S4.T1.5.1.m1.1.1.3">5</cn></apply></annotation-xml><annotation encoding="application/x-tex" id="S4.T1.5.1.m1.1d">M=5</annotation><annotation encoding="application/x-llamapun" id="S4.T1.5.1.m1.1e">italic_M = 5</annotation></semantics></math>. <math alttext="\|w\|_{0}" class="ltx_Math" display="inline" id="S4.T1.6.2.m2.1"><semantics id="S4.T1.6.2.m2.1b"><msub id="S4.T1.6.2.m2.1.2" xref="S4.T1.6.2.m2.1.2.cmml"><mrow id="S4.T1.6.2.m2.1.2.2.2" xref="S4.T1.6.2.m2.1.2.2.1.cmml"><mo id="S4.T1.6.2.m2.1.2.2.2.1" stretchy="false" xref="S4.T1.6.2.m2.1.2.2.1.1.cmml">‖</mo><mi id="S4.T1.6.2.m2.1.1" xref="S4.T1.6.2.m2.1.1.cmml">w</mi><mo id="S4.T1.6.2.m2.1.2.2.2.2" stretchy="false" xref="S4.T1.6.2.m2.1.2.2.1.1.cmml">‖</mo></mrow><mn id="S4.T1.6.2.m2.1.2.3" xref="S4.T1.6.2.m2.1.2.3.cmml">0</mn></msub><annotation-xml encoding="MathML-Content" id="S4.T1.6.2.m2.1c"><apply id="S4.T1.6.2.m2.1.2.cmml" xref="S4.T1.6.2.m2.1.2"><csymbol cd="ambiguous" id="S4.T1.6.2.m2.1.2.1.cmml" xref="S4.T1.6.2.m2.1.2">subscript</csymbol><apply id="S4.T1.6.2.m2.1.2.2.1.cmml" xref="S4.T1.6.2.m2.1.2.2.2"><csymbol cd="latexml" id="S4.T1.6.2.m2.1.2.2.1.1.cmml" xref="S4.T1.6.2.m2.1.2.2.2.1">norm</csymbol><ci id="S4.T1.6.2.m2.1.1.cmml" xref="S4.T1.6.2.m2.1.1">𝑤</ci></apply><cn id="S4.T1.6.2.m2.1.2.3.cmml" type="integer" xref="S4.T1.6.2.m2.1.2.3">0</cn></apply></annotation-xml><annotation encoding="application/x-tex" id="S4.T1.6.2.m2.1d">\|w\|_{0}</annotation><annotation encoding="application/x-llamapun" id="S4.T1.6.2.m2.1e">∥ italic_w ∥ start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT</annotation></semantics></math> is expressed as multiple of <math alttext="10^{6}" class="ltx_Math" display="inline" id="S4.T1.7.3.m3.1"><semantics id="S4.T1.7.3.m3.1b"><msup id="S4.T1.7.3.m3.1.1" xref="S4.T1.7.3.m3.1.1.cmml"><mn id="S4.T1.7.3.m3.1.1.2" xref="S4.T1.7.3.m3.1.1.2.cmml">10</mn><mn id="S4.T1.7.3.m3.1.1.3" xref="S4.T1.7.3.m3.1.1.3.cmml">6</mn></msup><annotation-xml encoding="MathML-Content" id="S4.T1.7.3.m3.1c"><apply id="S4.T1.7.3.m3.1.1.cmml" xref="S4.T1.7.3.m3.1.1"><csymbol cd="ambiguous" id="S4.T1.7.3.m3.1.1.1.cmml" xref="S4.T1.7.3.m3.1.1">superscript</csymbol><cn id="S4.T1.7.3.m3.1.1.2.cmml" type="integer" xref="S4.T1.7.3.m3.1.1.2">10</cn><cn id="S4.T1.7.3.m3.1.1.3.cmml" type="integer" xref="S4.T1.7.3.m3.1.1.3">6</cn></apply></annotation-xml><annotation encoding="application/x-tex" id="S4.T1.7.3.m3.1d">10^{6}</annotation><annotation encoding="application/x-llamapun" id="S4.T1.7.3.m3.1e">10 start_POSTSUPERSCRIPT 6 end_POSTSUPERSCRIPT</annotation></semantics></math>, while for Instant-NGP as a multiple of <math alttext="10^{5}" class="ltx_Math" display="inline" id="S4.T1.8.4.m4.1"><semantics id="S4.T1.8.4.m4.1b"><msup id="S4.T1.8.4.m4.1.1" xref="S4.T1.8.4.m4.1.1.cmml"><mn id="S4.T1.8.4.m4.1.1.2" xref="S4.T1.8.4.m4.1.1.2.cmml">10</mn><mn id="S4.T1.8.4.m4.1.1.3" xref="S4.T1.8.4.m4.1.1.3.cmml">5</mn></msup><annotation-xml encoding="MathML-Content" id="S4.T1.8.4.m4.1c"><apply id="S4.T1.8.4.m4.1.1.cmml" xref="S4.T1.8.4.m4.1.1"><csymbol cd="ambiguous" id="S4.T1.8.4.m4.1.1.1.cmml" xref="S4.T1.8.4.m4.1.1">superscript</csymbol><cn id="S4.T1.8.4.m4.1.1.2.cmml" type="integer" xref="S4.T1.8.4.m4.1.1.2">10</cn><cn id="S4.T1.8.4.m4.1.1.3.cmml" type="integer" xref="S4.T1.8.4.m4.1.1.3">5</cn></apply></annotation-xml><annotation encoding="application/x-tex" id="S4.T1.8.4.m4.1d">10^{5}</annotation><annotation encoding="application/x-llamapun" id="S4.T1.8.4.m4.1e">10 start_POSTSUPERSCRIPT 5 end_POSTSUPERSCRIPT</annotation></semantics></math>. </figcaption> <div class="ltx_inline-block ltx_transformed_outer" id="S4.T1.32" style="width:433.6pt;height:355pt;vertical-align:-0.0pt;"> <table class="ltx_tabular ltx_guessed_headers ltx_align_middle" id="S4.T1.32.24"> <tbody class="ltx_tbody"> <tr class="ltx_tr" id="S4.T1.32.24.25.1"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_t" id="S4.T1.32.24.25.1.1" rowspan="2">Dataset</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_t" id="S4.T1.32.24.25.1.2" rowspan="2">Metrics</th> <td class="ltx_td ltx_align_center ltx_border_t" colspan="4" id="S4.T1.32.24.25.1.3">DVGO</td> <td class="ltx_td ltx_align_center ltx_border_t" colspan="4" id="S4.T1.32.24.25.1.4">TensoRF</td> <td class="ltx_td ltx_align_center ltx_border_t" colspan="4" id="S4.T1.32.24.25.1.5">Instant-NGP</td> </tr> <tr class="ltx_tr" id="S4.T1.32.24.26.2"> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.T1.32.24.26.2.1">baseline</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.T1.32.24.26.2.2">Top-1</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.T1.32.24.26.2.3">Top-2</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S4.T1.32.24.26.2.4">Ens</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.T1.32.24.26.2.5">baseline</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.T1.32.24.26.2.6">Top-1</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.T1.32.24.26.2.7">Top-2</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S4.T1.32.24.26.2.8">Ens</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.T1.32.24.26.2.9">baseline</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.T1.32.24.26.2.10">Top-1</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.T1.32.24.26.2.11">Top-2</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.T1.32.24.26.2.12">Ens</td> </tr> <tr class="ltx_tr" id="S4.T1.9.1.1"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r ltx_border_t" id="S4.T1.9.1.1.2" rowspan="6">Blender</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r ltx_border_t" id="S4.T1.9.1.1.1"><math alttext="\mathbf{PSNR}\uparrow" class="ltx_Math" display="inline" id="S4.T1.9.1.1.1.m1.1"><semantics id="S4.T1.9.1.1.1.m1.1a"><mrow id="S4.T1.9.1.1.1.m1.1.1" xref="S4.T1.9.1.1.1.m1.1.1.cmml"><mi id="S4.T1.9.1.1.1.m1.1.1.2" xref="S4.T1.9.1.1.1.m1.1.1.2.cmml">𝐏𝐒𝐍𝐑</mi><mo id="S4.T1.9.1.1.1.m1.1.1.1" stretchy="false" xref="S4.T1.9.1.1.1.m1.1.1.1.cmml">↑</mo><mi id="S4.T1.9.1.1.1.m1.1.1.3" xref="S4.T1.9.1.1.1.m1.1.1.3.cmml"></mi></mrow><annotation-xml encoding="MathML-Content" id="S4.T1.9.1.1.1.m1.1b"><apply id="S4.T1.9.1.1.1.m1.1.1.cmml" xref="S4.T1.9.1.1.1.m1.1.1"><ci id="S4.T1.9.1.1.1.m1.1.1.1.cmml" xref="S4.T1.9.1.1.1.m1.1.1.1">↑</ci><ci id="S4.T1.9.1.1.1.m1.1.1.2.cmml" xref="S4.T1.9.1.1.1.m1.1.1.2">𝐏𝐒𝐍𝐑</ci><csymbol cd="latexml" id="S4.T1.9.1.1.1.m1.1.1.3.cmml" xref="S4.T1.9.1.1.1.m1.1.1.3">absent</csymbol></apply></annotation-xml><annotation encoding="application/x-tex" id="S4.T1.9.1.1.1.m1.1c">\mathbf{PSNR}\uparrow</annotation><annotation encoding="application/x-llamapun" id="S4.T1.9.1.1.1.m1.1d">bold_PSNR ↑</annotation></semantics></math></th> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.T1.9.1.1.3">33.04</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.T1.9.1.1.4">33.43</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.T1.9.1.1.5">33.74</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S4.T1.9.1.1.6">33.79</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.T1.9.1.1.7">32.98</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.T1.9.1.1.8">33.68</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.T1.9.1.1.9">34.09</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S4.T1.9.1.1.10">34.00</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.T1.9.1.1.11">33.35</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.T1.9.1.1.12">33.56</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.T1.9.1.1.13">33.83</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.T1.9.1.1.14">34.01</td> </tr> <tr class="ltx_tr" id="S4.T1.10.2.2"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S4.T1.10.2.2.1"><math alttext="\mathbf{SSIM}\uparrow" class="ltx_Math" display="inline" id="S4.T1.10.2.2.1.m1.1"><semantics id="S4.T1.10.2.2.1.m1.1a"><mrow id="S4.T1.10.2.2.1.m1.1.1" xref="S4.T1.10.2.2.1.m1.1.1.cmml"><mi id="S4.T1.10.2.2.1.m1.1.1.2" xref="S4.T1.10.2.2.1.m1.1.1.2.cmml">𝐒𝐒𝐈𝐌</mi><mo id="S4.T1.10.2.2.1.m1.1.1.1" stretchy="false" xref="S4.T1.10.2.2.1.m1.1.1.1.cmml">↑</mo><mi id="S4.T1.10.2.2.1.m1.1.1.3" xref="S4.T1.10.2.2.1.m1.1.1.3.cmml"></mi></mrow><annotation-xml encoding="MathML-Content" id="S4.T1.10.2.2.1.m1.1b"><apply id="S4.T1.10.2.2.1.m1.1.1.cmml" xref="S4.T1.10.2.2.1.m1.1.1"><ci id="S4.T1.10.2.2.1.m1.1.1.1.cmml" xref="S4.T1.10.2.2.1.m1.1.1.1">↑</ci><ci id="S4.T1.10.2.2.1.m1.1.1.2.cmml" xref="S4.T1.10.2.2.1.m1.1.1.2">𝐒𝐒𝐈𝐌</ci><csymbol cd="latexml" id="S4.T1.10.2.2.1.m1.1.1.3.cmml" xref="S4.T1.10.2.2.1.m1.1.1.3">absent</csymbol></apply></annotation-xml><annotation encoding="application/x-tex" id="S4.T1.10.2.2.1.m1.1c">\mathbf{SSIM}\uparrow</annotation><annotation encoding="application/x-llamapun" id="S4.T1.10.2.2.1.m1.1d">bold_SSIM ↑</annotation></semantics></math></th> <td class="ltx_td ltx_align_center" id="S4.T1.10.2.2.2">0.961</td> <td class="ltx_td ltx_align_center" id="S4.T1.10.2.2.3">0.964</td> <td class="ltx_td ltx_align_center" id="S4.T1.10.2.2.4">0.965</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S4.T1.10.2.2.5">0.966</td> <td class="ltx_td ltx_align_center" id="S4.T1.10.2.2.6">0.958</td> <td class="ltx_td ltx_align_center" id="S4.T1.10.2.2.7">0.965</td> <td class="ltx_td ltx_align_center" id="S4.T1.10.2.2.8">0.968</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S4.T1.10.2.2.9">0.968</td> <td class="ltx_td ltx_align_center" id="S4.T1.10.2.2.10">0.963</td> <td class="ltx_td ltx_align_center" id="S4.T1.10.2.2.11">0.963</td> <td class="ltx_td ltx_align_center" id="S4.T1.10.2.2.12">0.965</td> <td class="ltx_td ltx_align_center" id="S4.T1.10.2.2.13">0.966</td> </tr> <tr class="ltx_tr" id="S4.T1.11.3.3"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S4.T1.11.3.3.1"><math alttext="\mathbf{LPIPS}\downarrow" class="ltx_Math" display="inline" id="S4.T1.11.3.3.1.m1.1"><semantics id="S4.T1.11.3.3.1.m1.1a"><mrow id="S4.T1.11.3.3.1.m1.1.1" xref="S4.T1.11.3.3.1.m1.1.1.cmml"><mi id="S4.T1.11.3.3.1.m1.1.1.2" xref="S4.T1.11.3.3.1.m1.1.1.2.cmml">𝐋𝐏𝐈𝐏𝐒</mi><mo id="S4.T1.11.3.3.1.m1.1.1.1" stretchy="false" xref="S4.T1.11.3.3.1.m1.1.1.1.cmml">↓</mo><mi id="S4.T1.11.3.3.1.m1.1.1.3" xref="S4.T1.11.3.3.1.m1.1.1.3.cmml"></mi></mrow><annotation-xml encoding="MathML-Content" id="S4.T1.11.3.3.1.m1.1b"><apply id="S4.T1.11.3.3.1.m1.1.1.cmml" xref="S4.T1.11.3.3.1.m1.1.1"><ci id="S4.T1.11.3.3.1.m1.1.1.1.cmml" xref="S4.T1.11.3.3.1.m1.1.1.1">↓</ci><ci id="S4.T1.11.3.3.1.m1.1.1.2.cmml" xref="S4.T1.11.3.3.1.m1.1.1.2">𝐋𝐏𝐈𝐏𝐒</ci><csymbol cd="latexml" id="S4.T1.11.3.3.1.m1.1.1.3.cmml" xref="S4.T1.11.3.3.1.m1.1.1.3">absent</csymbol></apply></annotation-xml><annotation encoding="application/x-tex" id="S4.T1.11.3.3.1.m1.1c">\mathbf{LPIPS}\downarrow</annotation><annotation encoding="application/x-llamapun" id="S4.T1.11.3.3.1.m1.1d">bold_LPIPS ↓</annotation></semantics></math></th> <td class="ltx_td ltx_align_center" id="S4.T1.11.3.3.2">0.026</td> <td class="ltx_td ltx_align_center" id="S4.T1.11.3.3.3">0.024</td> <td class="ltx_td ltx_align_center" id="S4.T1.11.3.3.4">0.022</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S4.T1.11.3.3.5">0.022</td> <td class="ltx_td ltx_align_center" id="S4.T1.11.3.3.6">0.029</td> <td class="ltx_td ltx_align_center" id="S4.T1.11.3.3.7">0.023</td> <td class="ltx_td ltx_align_center" id="S4.T1.11.3.3.8">0.021</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S4.T1.11.3.3.9">0.022</td> <td class="ltx_td ltx_align_center" id="S4.T1.11.3.3.10">0.025</td> <td class="ltx_td ltx_align_center" id="S4.T1.11.3.3.11">0.045</td> <td class="ltx_td ltx_align_center" id="S4.T1.11.3.3.12">0.043</td> <td class="ltx_td ltx_align_center" id="S4.T1.11.3.3.13">0.042</td> </tr> <tr class="ltx_tr" id="S4.T1.12.4.4"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S4.T1.12.4.4.1"><math alttext="\|w\|_{0}\downarrow" class="ltx_Math" display="inline" id="S4.T1.12.4.4.1.m1.1"><semantics id="S4.T1.12.4.4.1.m1.1a"><mrow id="S4.T1.12.4.4.1.m1.1.2" xref="S4.T1.12.4.4.1.m1.1.2.cmml"><msub id="S4.T1.12.4.4.1.m1.1.2.2" xref="S4.T1.12.4.4.1.m1.1.2.2.cmml"><mrow id="S4.T1.12.4.4.1.m1.1.2.2.2.2" xref="S4.T1.12.4.4.1.m1.1.2.2.2.1.cmml"><mo id="S4.T1.12.4.4.1.m1.1.2.2.2.2.1" stretchy="false" xref="S4.T1.12.4.4.1.m1.1.2.2.2.1.1.cmml">‖</mo><mi id="S4.T1.12.4.4.1.m1.1.1" xref="S4.T1.12.4.4.1.m1.1.1.cmml">w</mi><mo id="S4.T1.12.4.4.1.m1.1.2.2.2.2.2" stretchy="false" xref="S4.T1.12.4.4.1.m1.1.2.2.2.1.1.cmml">‖</mo></mrow><mn id="S4.T1.12.4.4.1.m1.1.2.2.3" xref="S4.T1.12.4.4.1.m1.1.2.2.3.cmml">0</mn></msub><mo id="S4.T1.12.4.4.1.m1.1.2.1" stretchy="false" xref="S4.T1.12.4.4.1.m1.1.2.1.cmml">↓</mo><mi id="S4.T1.12.4.4.1.m1.1.2.3" xref="S4.T1.12.4.4.1.m1.1.2.3.cmml"></mi></mrow><annotation-xml encoding="MathML-Content" id="S4.T1.12.4.4.1.m1.1b"><apply id="S4.T1.12.4.4.1.m1.1.2.cmml" xref="S4.T1.12.4.4.1.m1.1.2"><ci id="S4.T1.12.4.4.1.m1.1.2.1.cmml" xref="S4.T1.12.4.4.1.m1.1.2.1">↓</ci><apply id="S4.T1.12.4.4.1.m1.1.2.2.cmml" xref="S4.T1.12.4.4.1.m1.1.2.2"><csymbol cd="ambiguous" id="S4.T1.12.4.4.1.m1.1.2.2.1.cmml" xref="S4.T1.12.4.4.1.m1.1.2.2">subscript</csymbol><apply id="S4.T1.12.4.4.1.m1.1.2.2.2.1.cmml" xref="S4.T1.12.4.4.1.m1.1.2.2.2.2"><csymbol cd="latexml" id="S4.T1.12.4.4.1.m1.1.2.2.2.1.1.cmml" xref="S4.T1.12.4.4.1.m1.1.2.2.2.2.1">norm</csymbol><ci id="S4.T1.12.4.4.1.m1.1.1.cmml" xref="S4.T1.12.4.4.1.m1.1.1">𝑤</ci></apply><cn id="S4.T1.12.4.4.1.m1.1.2.2.3.cmml" type="integer" xref="S4.T1.12.4.4.1.m1.1.2.2.3">0</cn></apply><csymbol cd="latexml" id="S4.T1.12.4.4.1.m1.1.2.3.cmml" xref="S4.T1.12.4.4.1.m1.1.2.3">absent</csymbol></apply></annotation-xml><annotation encoding="application/x-tex" id="S4.T1.12.4.4.1.m1.1c">\|w\|_{0}\downarrow</annotation><annotation encoding="application/x-llamapun" id="S4.T1.12.4.4.1.m1.1d">∥ italic_w ∥ start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT ↓</annotation></semantics></math></th> <td class="ltx_td ltx_align_center" id="S4.T1.12.4.4.2">99</td> <td class="ltx_td ltx_align_center" id="S4.T1.12.4.4.3">26</td> <td class="ltx_td ltx_align_center" id="S4.T1.12.4.4.4">39</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S4.T1.12.4.4.5">97</td> <td class="ltx_td ltx_align_center" id="S4.T1.12.4.4.6">40</td> <td class="ltx_td ltx_align_center" id="S4.T1.12.4.4.7">24</td> <td class="ltx_td ltx_align_center" id="S4.T1.12.4.4.8">33</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S4.T1.12.4.4.9">49</td> <td class="ltx_td ltx_align_center" id="S4.T1.12.4.4.10">31</td> <td class="ltx_td ltx_align_center" id="S4.T1.12.4.4.11">17</td> <td class="ltx_td ltx_align_center" id="S4.T1.12.4.4.12">21</td> <td class="ltx_td ltx_align_center" id="S4.T1.12.4.4.13">26</td> </tr> <tr class="ltx_tr" id="S4.T1.13.5.5"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S4.T1.13.5.5.1"><math alttext="\mathbf{GFLOPs}\downarrow" class="ltx_Math" display="inline" id="S4.T1.13.5.5.1.m1.1"><semantics id="S4.T1.13.5.5.1.m1.1a"><mrow id="S4.T1.13.5.5.1.m1.1.1" xref="S4.T1.13.5.5.1.m1.1.1.cmml"><mi id="S4.T1.13.5.5.1.m1.1.1.2" xref="S4.T1.13.5.5.1.m1.1.1.2.cmml">𝐆𝐅𝐋𝐎𝐏𝐬</mi><mo id="S4.T1.13.5.5.1.m1.1.1.1" stretchy="false" xref="S4.T1.13.5.5.1.m1.1.1.1.cmml">↓</mo><mi id="S4.T1.13.5.5.1.m1.1.1.3" xref="S4.T1.13.5.5.1.m1.1.1.3.cmml"></mi></mrow><annotation-xml encoding="MathML-Content" id="S4.T1.13.5.5.1.m1.1b"><apply id="S4.T1.13.5.5.1.m1.1.1.cmml" xref="S4.T1.13.5.5.1.m1.1.1"><ci id="S4.T1.13.5.5.1.m1.1.1.1.cmml" xref="S4.T1.13.5.5.1.m1.1.1.1">↓</ci><ci id="S4.T1.13.5.5.1.m1.1.1.2.cmml" xref="S4.T1.13.5.5.1.m1.1.1.2">𝐆𝐅𝐋𝐎𝐏𝐬</ci><csymbol cd="latexml" id="S4.T1.13.5.5.1.m1.1.1.3.cmml" xref="S4.T1.13.5.5.1.m1.1.1.3">absent</csymbol></apply></annotation-xml><annotation encoding="application/x-tex" id="S4.T1.13.5.5.1.m1.1c">\mathbf{GFLOPs}\downarrow</annotation><annotation encoding="application/x-llamapun" id="S4.T1.13.5.5.1.m1.1d">bold_GFLOPs ↓</annotation></semantics></math></th> <td class="ltx_td ltx_align_center" id="S4.T1.13.5.5.2">635</td> <td class="ltx_td ltx_align_center" id="S4.T1.13.5.5.3">499</td> <td class="ltx_td ltx_align_center" id="S4.T1.13.5.5.4">940</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S4.T1.13.5.5.5">2206</td> <td class="ltx_td ltx_align_center" id="S4.T1.13.5.5.6">886</td> <td class="ltx_td ltx_align_center" id="S4.T1.13.5.5.7">732</td> <td class="ltx_td ltx_align_center" id="S4.T1.13.5.5.8">1344</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S4.T1.13.5.5.9">2214</td> <td class="ltx_td ltx_align_center" id="S4.T1.13.5.5.10">46</td> <td class="ltx_td ltx_align_center" id="S4.T1.13.5.5.11">71</td> <td class="ltx_td ltx_align_center" id="S4.T1.13.5.5.12">123</td> <td class="ltx_td ltx_align_center" id="S4.T1.13.5.5.13">208</td> </tr> <tr class="ltx_tr" id="S4.T1.14.6.6"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S4.T1.14.6.6.1"><math alttext="\mathbf{Time}\downarrow" class="ltx_Math" display="inline" id="S4.T1.14.6.6.1.m1.1"><semantics id="S4.T1.14.6.6.1.m1.1a"><mrow id="S4.T1.14.6.6.1.m1.1.1" xref="S4.T1.14.6.6.1.m1.1.1.cmml"><mi id="S4.T1.14.6.6.1.m1.1.1.2" xref="S4.T1.14.6.6.1.m1.1.1.2.cmml">𝐓𝐢𝐦𝐞</mi><mo id="S4.T1.14.6.6.1.m1.1.1.1" stretchy="false" xref="S4.T1.14.6.6.1.m1.1.1.1.cmml">↓</mo><mi id="S4.T1.14.6.6.1.m1.1.1.3" xref="S4.T1.14.6.6.1.m1.1.1.3.cmml"></mi></mrow><annotation-xml encoding="MathML-Content" id="S4.T1.14.6.6.1.m1.1b"><apply id="S4.T1.14.6.6.1.m1.1.1.cmml" xref="S4.T1.14.6.6.1.m1.1.1"><ci id="S4.T1.14.6.6.1.m1.1.1.1.cmml" xref="S4.T1.14.6.6.1.m1.1.1.1">↓</ci><ci id="S4.T1.14.6.6.1.m1.1.1.2.cmml" xref="S4.T1.14.6.6.1.m1.1.1.2">𝐓𝐢𝐦𝐞</ci><csymbol cd="latexml" id="S4.T1.14.6.6.1.m1.1.1.3.cmml" xref="S4.T1.14.6.6.1.m1.1.1.3">absent</csymbol></apply></annotation-xml><annotation encoding="application/x-tex" id="S4.T1.14.6.6.1.m1.1c">\mathbf{Time}\downarrow</annotation><annotation encoding="application/x-llamapun" id="S4.T1.14.6.6.1.m1.1d">bold_Time ↓</annotation></semantics></math></th> <td class="ltx_td ltx_align_center" id="S4.T1.14.6.6.2">26’</td> <td class="ltx_td ltx_align_center" id="S4.T1.14.6.6.3">21’</td> <td class="ltx_td ltx_align_center" id="S4.T1.14.6.6.4">25’</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S4.T1.14.6.6.5">32’</td> <td class="ltx_td ltx_align_center" id="S4.T1.14.6.6.6">44’</td> <td class="ltx_td ltx_align_center" id="S4.T1.14.6.6.7">69’</td> <td class="ltx_td ltx_align_center" id="S4.T1.14.6.6.8">76’</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S4.T1.14.6.6.9">70’</td> <td class="ltx_td ltx_align_center" id="S4.T1.14.6.6.10">11’</td> <td class="ltx_td ltx_align_center" id="S4.T1.14.6.6.11">32’</td> <td class="ltx_td ltx_align_center" id="S4.T1.14.6.6.12">34’</td> <td class="ltx_td ltx_align_center" id="S4.T1.14.6.6.13">37’</td> </tr> <tr class="ltx_tr" id="S4.T1.15.7.7"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r ltx_border_t" id="S4.T1.15.7.7.2" rowspan="6">NSVF</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r ltx_border_t" id="S4.T1.15.7.7.1"><math alttext="\mathbf{PSNR}\uparrow" class="ltx_Math" display="inline" id="S4.T1.15.7.7.1.m1.1"><semantics id="S4.T1.15.7.7.1.m1.1a"><mrow id="S4.T1.15.7.7.1.m1.1.1" xref="S4.T1.15.7.7.1.m1.1.1.cmml"><mi id="S4.T1.15.7.7.1.m1.1.1.2" xref="S4.T1.15.7.7.1.m1.1.1.2.cmml">𝐏𝐒𝐍𝐑</mi><mo id="S4.T1.15.7.7.1.m1.1.1.1" stretchy="false" xref="S4.T1.15.7.7.1.m1.1.1.1.cmml">↑</mo><mi id="S4.T1.15.7.7.1.m1.1.1.3" xref="S4.T1.15.7.7.1.m1.1.1.3.cmml"></mi></mrow><annotation-xml encoding="MathML-Content" id="S4.T1.15.7.7.1.m1.1b"><apply id="S4.T1.15.7.7.1.m1.1.1.cmml" xref="S4.T1.15.7.7.1.m1.1.1"><ci id="S4.T1.15.7.7.1.m1.1.1.1.cmml" xref="S4.T1.15.7.7.1.m1.1.1.1">↑</ci><ci id="S4.T1.15.7.7.1.m1.1.1.2.cmml" xref="S4.T1.15.7.7.1.m1.1.1.2">𝐏𝐒𝐍𝐑</ci><csymbol cd="latexml" id="S4.T1.15.7.7.1.m1.1.1.3.cmml" xref="S4.T1.15.7.7.1.m1.1.1.3">absent</csymbol></apply></annotation-xml><annotation encoding="application/x-tex" id="S4.T1.15.7.7.1.m1.1c">\mathbf{PSNR}\uparrow</annotation><annotation encoding="application/x-llamapun" id="S4.T1.15.7.7.1.m1.1d">bold_PSNR ↑</annotation></semantics></math></th> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.T1.15.7.7.3">35.21</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.T1.15.7.7.4">37.12</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.T1.15.7.7.5">37.59</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S4.T1.15.7.7.6">37.68</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.T1.15.7.7.7">36.70</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.T1.15.7.7.8">37.40</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.T1.15.7.7.9">37.98</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S4.T1.15.7.7.10">38.08</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.T1.15.7.7.11">36.44</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.T1.15.7.7.12">36.59</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.T1.15.7.7.13">37.04</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.T1.15.7.7.14">37.31</td> </tr> <tr class="ltx_tr" id="S4.T1.16.8.8"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S4.T1.16.8.8.1"><math alttext="\mathbf{SSIM}\uparrow" class="ltx_Math" display="inline" id="S4.T1.16.8.8.1.m1.1"><semantics id="S4.T1.16.8.8.1.m1.1a"><mrow id="S4.T1.16.8.8.1.m1.1.1" xref="S4.T1.16.8.8.1.m1.1.1.cmml"><mi id="S4.T1.16.8.8.1.m1.1.1.2" xref="S4.T1.16.8.8.1.m1.1.1.2.cmml">𝐒𝐒𝐈𝐌</mi><mo id="S4.T1.16.8.8.1.m1.1.1.1" stretchy="false" xref="S4.T1.16.8.8.1.m1.1.1.1.cmml">↑</mo><mi id="S4.T1.16.8.8.1.m1.1.1.3" xref="S4.T1.16.8.8.1.m1.1.1.3.cmml"></mi></mrow><annotation-xml encoding="MathML-Content" id="S4.T1.16.8.8.1.m1.1b"><apply id="S4.T1.16.8.8.1.m1.1.1.cmml" xref="S4.T1.16.8.8.1.m1.1.1"><ci id="S4.T1.16.8.8.1.m1.1.1.1.cmml" xref="S4.T1.16.8.8.1.m1.1.1.1">↑</ci><ci id="S4.T1.16.8.8.1.m1.1.1.2.cmml" xref="S4.T1.16.8.8.1.m1.1.1.2">𝐒𝐒𝐈𝐌</ci><csymbol cd="latexml" id="S4.T1.16.8.8.1.m1.1.1.3.cmml" xref="S4.T1.16.8.8.1.m1.1.1.3">absent</csymbol></apply></annotation-xml><annotation encoding="application/x-tex" id="S4.T1.16.8.8.1.m1.1c">\mathbf{SSIM}\uparrow</annotation><annotation encoding="application/x-llamapun" id="S4.T1.16.8.8.1.m1.1d">bold_SSIM ↑</annotation></semantics></math></th> <td class="ltx_td ltx_align_center" id="S4.T1.16.8.8.2">0.977</td> <td class="ltx_td ltx_align_center" id="S4.T1.16.8.8.3">0.984</td> <td class="ltx_td ltx_align_center" id="S4.T1.16.8.8.4">0.986</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S4.T1.16.8.8.5">0.986</td> <td class="ltx_td ltx_align_center" id="S4.T1.16.8.8.6">0.981</td> <td class="ltx_td ltx_align_center" id="S4.T1.16.8.8.7">0.984</td> <td class="ltx_td ltx_align_center" id="S4.T1.16.8.8.8">0.986</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S4.T1.16.8.8.9">0.987</td> <td class="ltx_td ltx_align_center" id="S4.T1.16.8.8.10">0.983</td> <td class="ltx_td ltx_align_center" id="S4.T1.16.8.8.11">0.983</td> <td class="ltx_td ltx_align_center" id="S4.T1.16.8.8.12">0.984</td> <td class="ltx_td ltx_align_center" id="S4.T1.16.8.8.13">0.985</td> </tr> <tr class="ltx_tr" id="S4.T1.17.9.9"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S4.T1.17.9.9.1"><math alttext="\mathbf{LPIPS}\downarrow" class="ltx_Math" display="inline" id="S4.T1.17.9.9.1.m1.1"><semantics id="S4.T1.17.9.9.1.m1.1a"><mrow id="S4.T1.17.9.9.1.m1.1.1" xref="S4.T1.17.9.9.1.m1.1.1.cmml"><mi id="S4.T1.17.9.9.1.m1.1.1.2" xref="S4.T1.17.9.9.1.m1.1.1.2.cmml">𝐋𝐏𝐈𝐏𝐒</mi><mo id="S4.T1.17.9.9.1.m1.1.1.1" stretchy="false" xref="S4.T1.17.9.9.1.m1.1.1.1.cmml">↓</mo><mi id="S4.T1.17.9.9.1.m1.1.1.3" xref="S4.T1.17.9.9.1.m1.1.1.3.cmml"></mi></mrow><annotation-xml encoding="MathML-Content" id="S4.T1.17.9.9.1.m1.1b"><apply id="S4.T1.17.9.9.1.m1.1.1.cmml" xref="S4.T1.17.9.9.1.m1.1.1"><ci id="S4.T1.17.9.9.1.m1.1.1.1.cmml" xref="S4.T1.17.9.9.1.m1.1.1.1">↓</ci><ci id="S4.T1.17.9.9.1.m1.1.1.2.cmml" xref="S4.T1.17.9.9.1.m1.1.1.2">𝐋𝐏𝐈𝐏𝐒</ci><csymbol cd="latexml" id="S4.T1.17.9.9.1.m1.1.1.3.cmml" xref="S4.T1.17.9.9.1.m1.1.1.3">absent</csymbol></apply></annotation-xml><annotation encoding="application/x-tex" id="S4.T1.17.9.9.1.m1.1c">\mathbf{LPIPS}\downarrow</annotation><annotation encoding="application/x-llamapun" id="S4.T1.17.9.9.1.m1.1d">bold_LPIPS ↓</annotation></semantics></math></th> <td class="ltx_td ltx_align_center" id="S4.T1.17.9.9.2">0.015</td> <td class="ltx_td ltx_align_center" id="S4.T1.17.9.9.3">0.009</td> <td class="ltx_td ltx_align_center" id="S4.T1.17.9.9.4">0.008</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S4.T1.17.9.9.5">0.007</td> <td class="ltx_td ltx_align_center" id="S4.T1.17.9.9.6">0.013</td> <td class="ltx_td ltx_align_center" id="S4.T1.17.9.9.7">0.009</td> <td class="ltx_td ltx_align_center" id="S4.T1.17.9.9.8">0.008</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S4.T1.17.9.9.9">0.008</td> <td class="ltx_td ltx_align_center" id="S4.T1.17.9.9.10">0.010</td> <td class="ltx_td ltx_align_center" id="S4.T1.17.9.9.11">0.023</td> <td class="ltx_td ltx_align_center" id="S4.T1.17.9.9.12">0.022</td> <td class="ltx_td ltx_align_center" id="S4.T1.17.9.9.13">0.020</td> </tr> <tr class="ltx_tr" id="S4.T1.18.10.10"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S4.T1.18.10.10.1"><math alttext="\|w\|_{0}\downarrow" class="ltx_Math" display="inline" id="S4.T1.18.10.10.1.m1.1"><semantics id="S4.T1.18.10.10.1.m1.1a"><mrow id="S4.T1.18.10.10.1.m1.1.2" xref="S4.T1.18.10.10.1.m1.1.2.cmml"><msub id="S4.T1.18.10.10.1.m1.1.2.2" xref="S4.T1.18.10.10.1.m1.1.2.2.cmml"><mrow id="S4.T1.18.10.10.1.m1.1.2.2.2.2" xref="S4.T1.18.10.10.1.m1.1.2.2.2.1.cmml"><mo id="S4.T1.18.10.10.1.m1.1.2.2.2.2.1" stretchy="false" xref="S4.T1.18.10.10.1.m1.1.2.2.2.1.1.cmml">‖</mo><mi id="S4.T1.18.10.10.1.m1.1.1" xref="S4.T1.18.10.10.1.m1.1.1.cmml">w</mi><mo id="S4.T1.18.10.10.1.m1.1.2.2.2.2.2" stretchy="false" xref="S4.T1.18.10.10.1.m1.1.2.2.2.1.1.cmml">‖</mo></mrow><mn id="S4.T1.18.10.10.1.m1.1.2.2.3" xref="S4.T1.18.10.10.1.m1.1.2.2.3.cmml">0</mn></msub><mo id="S4.T1.18.10.10.1.m1.1.2.1" stretchy="false" xref="S4.T1.18.10.10.1.m1.1.2.1.cmml">↓</mo><mi id="S4.T1.18.10.10.1.m1.1.2.3" xref="S4.T1.18.10.10.1.m1.1.2.3.cmml"></mi></mrow><annotation-xml encoding="MathML-Content" id="S4.T1.18.10.10.1.m1.1b"><apply id="S4.T1.18.10.10.1.m1.1.2.cmml" xref="S4.T1.18.10.10.1.m1.1.2"><ci id="S4.T1.18.10.10.1.m1.1.2.1.cmml" xref="S4.T1.18.10.10.1.m1.1.2.1">↓</ci><apply id="S4.T1.18.10.10.1.m1.1.2.2.cmml" xref="S4.T1.18.10.10.1.m1.1.2.2"><csymbol cd="ambiguous" id="S4.T1.18.10.10.1.m1.1.2.2.1.cmml" xref="S4.T1.18.10.10.1.m1.1.2.2">subscript</csymbol><apply id="S4.T1.18.10.10.1.m1.1.2.2.2.1.cmml" xref="S4.T1.18.10.10.1.m1.1.2.2.2.2"><csymbol cd="latexml" id="S4.T1.18.10.10.1.m1.1.2.2.2.1.1.cmml" xref="S4.T1.18.10.10.1.m1.1.2.2.2.2.1">norm</csymbol><ci id="S4.T1.18.10.10.1.m1.1.1.cmml" xref="S4.T1.18.10.10.1.m1.1.1">𝑤</ci></apply><cn id="S4.T1.18.10.10.1.m1.1.2.2.3.cmml" type="integer" xref="S4.T1.18.10.10.1.m1.1.2.2.3">0</cn></apply><csymbol cd="latexml" id="S4.T1.18.10.10.1.m1.1.2.3.cmml" xref="S4.T1.18.10.10.1.m1.1.2.3">absent</csymbol></apply></annotation-xml><annotation encoding="application/x-tex" id="S4.T1.18.10.10.1.m1.1c">\|w\|_{0}\downarrow</annotation><annotation encoding="application/x-llamapun" id="S4.T1.18.10.10.1.m1.1d">∥ italic_w ∥ start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT ↓</annotation></semantics></math></th> <td class="ltx_td ltx_align_center" id="S4.T1.18.10.10.2">95</td> <td class="ltx_td ltx_align_center" id="S4.T1.18.10.10.3">27</td> <td class="ltx_td ltx_align_center" id="S4.T1.18.10.10.4">43</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S4.T1.18.10.10.5">100</td> <td class="ltx_td ltx_align_center" id="S4.T1.18.10.10.6">42</td> <td class="ltx_td ltx_align_center" id="S4.T1.18.10.10.7">28</td> <td class="ltx_td ltx_align_center" id="S4.T1.18.10.10.8">38</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S4.T1.18.10.10.9">54</td> <td class="ltx_td ltx_align_center" id="S4.T1.18.10.10.10">30</td> <td class="ltx_td ltx_align_center" id="S4.T1.18.10.10.11">17</td> <td class="ltx_td ltx_align_center" id="S4.T1.18.10.10.12">20</td> <td class="ltx_td ltx_align_center" id="S4.T1.18.10.10.13">27</td> </tr> <tr class="ltx_tr" id="S4.T1.19.11.11"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S4.T1.19.11.11.1"><math alttext="\mathbf{GFLOPs}\downarrow" class="ltx_Math" display="inline" id="S4.T1.19.11.11.1.m1.1"><semantics id="S4.T1.19.11.11.1.m1.1a"><mrow id="S4.T1.19.11.11.1.m1.1.1" xref="S4.T1.19.11.11.1.m1.1.1.cmml"><mi id="S4.T1.19.11.11.1.m1.1.1.2" xref="S4.T1.19.11.11.1.m1.1.1.2.cmml">𝐆𝐅𝐋𝐎𝐏𝐬</mi><mo id="S4.T1.19.11.11.1.m1.1.1.1" stretchy="false" xref="S4.T1.19.11.11.1.m1.1.1.1.cmml">↓</mo><mi id="S4.T1.19.11.11.1.m1.1.1.3" xref="S4.T1.19.11.11.1.m1.1.1.3.cmml"></mi></mrow><annotation-xml encoding="MathML-Content" id="S4.T1.19.11.11.1.m1.1b"><apply id="S4.T1.19.11.11.1.m1.1.1.cmml" xref="S4.T1.19.11.11.1.m1.1.1"><ci id="S4.T1.19.11.11.1.m1.1.1.1.cmml" xref="S4.T1.19.11.11.1.m1.1.1.1">↓</ci><ci id="S4.T1.19.11.11.1.m1.1.1.2.cmml" xref="S4.T1.19.11.11.1.m1.1.1.2">𝐆𝐅𝐋𝐎𝐏𝐬</ci><csymbol cd="latexml" id="S4.T1.19.11.11.1.m1.1.1.3.cmml" xref="S4.T1.19.11.11.1.m1.1.1.3">absent</csymbol></apply></annotation-xml><annotation encoding="application/x-tex" id="S4.T1.19.11.11.1.m1.1c">\mathbf{GFLOPs}\downarrow</annotation><annotation encoding="application/x-llamapun" id="S4.T1.19.11.11.1.m1.1d">bold_GFLOPs ↓</annotation></semantics></math></th> <td class="ltx_td ltx_align_center" id="S4.T1.19.11.11.2">564</td> <td class="ltx_td ltx_align_center" id="S4.T1.19.11.11.3">430</td> <td class="ltx_td ltx_align_center" id="S4.T1.19.11.11.4">811</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S4.T1.19.11.11.5">1903</td> <td class="ltx_td ltx_align_center" id="S4.T1.19.11.11.6">706</td> <td class="ltx_td ltx_align_center" id="S4.T1.19.11.11.7">575</td> <td class="ltx_td ltx_align_center" id="S4.T1.19.11.11.8">1053</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S4.T1.19.11.11.9">1763</td> <td class="ltx_td ltx_align_center" id="S4.T1.19.11.11.10">28</td> <td class="ltx_td ltx_align_center" id="S4.T1.19.11.11.11">52</td> <td class="ltx_td ltx_align_center" id="S4.T1.19.11.11.12">72</td> <td class="ltx_td ltx_align_center" id="S4.T1.19.11.11.13">123</td> </tr> <tr class="ltx_tr" id="S4.T1.20.12.12"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S4.T1.20.12.12.1"><math alttext="\mathbf{Time}\downarrow" class="ltx_Math" display="inline" id="S4.T1.20.12.12.1.m1.1"><semantics id="S4.T1.20.12.12.1.m1.1a"><mrow id="S4.T1.20.12.12.1.m1.1.1" xref="S4.T1.20.12.12.1.m1.1.1.cmml"><mi id="S4.T1.20.12.12.1.m1.1.1.2" xref="S4.T1.20.12.12.1.m1.1.1.2.cmml">𝐓𝐢𝐦𝐞</mi><mo id="S4.T1.20.12.12.1.m1.1.1.1" stretchy="false" xref="S4.T1.20.12.12.1.m1.1.1.1.cmml">↓</mo><mi id="S4.T1.20.12.12.1.m1.1.1.3" xref="S4.T1.20.12.12.1.m1.1.1.3.cmml"></mi></mrow><annotation-xml encoding="MathML-Content" id="S4.T1.20.12.12.1.m1.1b"><apply id="S4.T1.20.12.12.1.m1.1.1.cmml" xref="S4.T1.20.12.12.1.m1.1.1"><ci id="S4.T1.20.12.12.1.m1.1.1.1.cmml" xref="S4.T1.20.12.12.1.m1.1.1.1">↓</ci><ci id="S4.T1.20.12.12.1.m1.1.1.2.cmml" xref="S4.T1.20.12.12.1.m1.1.1.2">𝐓𝐢𝐦𝐞</ci><csymbol cd="latexml" id="S4.T1.20.12.12.1.m1.1.1.3.cmml" xref="S4.T1.20.12.12.1.m1.1.1.3">absent</csymbol></apply></annotation-xml><annotation encoding="application/x-tex" id="S4.T1.20.12.12.1.m1.1c">\mathbf{Time}\downarrow</annotation><annotation encoding="application/x-llamapun" id="S4.T1.20.12.12.1.m1.1d">bold_Time ↓</annotation></semantics></math></th> <td class="ltx_td ltx_align_center" id="S4.T1.20.12.12.2">12’</td> <td class="ltx_td ltx_align_center" id="S4.T1.20.12.12.3">22’</td> <td class="ltx_td ltx_align_center" id="S4.T1.20.12.12.4">25’</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S4.T1.20.12.12.5">30’</td> <td class="ltx_td ltx_align_center" id="S4.T1.20.12.12.6">46’</td> <td class="ltx_td ltx_align_center" id="S4.T1.20.12.12.7">75’</td> <td class="ltx_td ltx_align_center" id="S4.T1.20.12.12.8">75’</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S4.T1.20.12.12.9">75’</td> <td class="ltx_td ltx_align_center" id="S4.T1.20.12.12.10">10’</td> <td class="ltx_td ltx_align_center" id="S4.T1.20.12.12.11">31’</td> <td class="ltx_td ltx_align_center" id="S4.T1.20.12.12.12">33’</td> <td class="ltx_td ltx_align_center" id="S4.T1.20.12.12.13">34’</td> </tr> <tr class="ltx_tr" id="S4.T1.21.13.13"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r ltx_border_t" id="S4.T1.21.13.13.2" rowspan="6">TaT</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r ltx_border_t" id="S4.T1.21.13.13.1"><math alttext="\mathbf{PSNR}\uparrow" class="ltx_Math" display="inline" id="S4.T1.21.13.13.1.m1.1"><semantics id="S4.T1.21.13.13.1.m1.1a"><mrow id="S4.T1.21.13.13.1.m1.1.1" xref="S4.T1.21.13.13.1.m1.1.1.cmml"><mi id="S4.T1.21.13.13.1.m1.1.1.2" xref="S4.T1.21.13.13.1.m1.1.1.2.cmml">𝐏𝐒𝐍𝐑</mi><mo id="S4.T1.21.13.13.1.m1.1.1.1" stretchy="false" xref="S4.T1.21.13.13.1.m1.1.1.1.cmml">↑</mo><mi id="S4.T1.21.13.13.1.m1.1.1.3" xref="S4.T1.21.13.13.1.m1.1.1.3.cmml"></mi></mrow><annotation-xml encoding="MathML-Content" id="S4.T1.21.13.13.1.m1.1b"><apply id="S4.T1.21.13.13.1.m1.1.1.cmml" xref="S4.T1.21.13.13.1.m1.1.1"><ci id="S4.T1.21.13.13.1.m1.1.1.1.cmml" xref="S4.T1.21.13.13.1.m1.1.1.1">↑</ci><ci id="S4.T1.21.13.13.1.m1.1.1.2.cmml" xref="S4.T1.21.13.13.1.m1.1.1.2">𝐏𝐒𝐍𝐑</ci><csymbol cd="latexml" id="S4.T1.21.13.13.1.m1.1.1.3.cmml" xref="S4.T1.21.13.13.1.m1.1.1.3">absent</csymbol></apply></annotation-xml><annotation encoding="application/x-tex" id="S4.T1.21.13.13.1.m1.1c">\mathbf{PSNR}\uparrow</annotation><annotation encoding="application/x-llamapun" id="S4.T1.21.13.13.1.m1.1d">bold_PSNR ↑</annotation></semantics></math></th> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.T1.21.13.13.3">28.93</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.T1.21.13.13.4">29.14</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.T1.21.13.13.5">29.27</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S4.T1.21.13.13.6">29.37</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.T1.21.13.13.7">28.44</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.T1.21.13.13.8">28.78</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.T1.21.13.13.9">29.14</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S4.T1.21.13.13.10">29.11</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.T1.21.13.13.11">29.07</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.T1.21.13.13.12">29.16</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.T1.21.13.13.13">29.32</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.T1.21.13.13.14">29.38</td> </tr> <tr class="ltx_tr" id="S4.T1.22.14.14"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S4.T1.22.14.14.1"><math alttext="\mathbf{SSIM}\uparrow" class="ltx_Math" display="inline" id="S4.T1.22.14.14.1.m1.1"><semantics id="S4.T1.22.14.14.1.m1.1a"><mrow id="S4.T1.22.14.14.1.m1.1.1" xref="S4.T1.22.14.14.1.m1.1.1.cmml"><mi id="S4.T1.22.14.14.1.m1.1.1.2" xref="S4.T1.22.14.14.1.m1.1.1.2.cmml">𝐒𝐒𝐈𝐌</mi><mo id="S4.T1.22.14.14.1.m1.1.1.1" stretchy="false" xref="S4.T1.22.14.14.1.m1.1.1.1.cmml">↑</mo><mi id="S4.T1.22.14.14.1.m1.1.1.3" xref="S4.T1.22.14.14.1.m1.1.1.3.cmml"></mi></mrow><annotation-xml encoding="MathML-Content" id="S4.T1.22.14.14.1.m1.1b"><apply id="S4.T1.22.14.14.1.m1.1.1.cmml" xref="S4.T1.22.14.14.1.m1.1.1"><ci id="S4.T1.22.14.14.1.m1.1.1.1.cmml" xref="S4.T1.22.14.14.1.m1.1.1.1">↑</ci><ci id="S4.T1.22.14.14.1.m1.1.1.2.cmml" xref="S4.T1.22.14.14.1.m1.1.1.2">𝐒𝐒𝐈𝐌</ci><csymbol cd="latexml" id="S4.T1.22.14.14.1.m1.1.1.3.cmml" xref="S4.T1.22.14.14.1.m1.1.1.3">absent</csymbol></apply></annotation-xml><annotation encoding="application/x-tex" id="S4.T1.22.14.14.1.m1.1c">\mathbf{SSIM}\uparrow</annotation><annotation encoding="application/x-llamapun" id="S4.T1.22.14.14.1.m1.1d">bold_SSIM ↑</annotation></semantics></math></th> <td class="ltx_td ltx_align_center" id="S4.T1.22.14.14.2">0.927</td> <td class="ltx_td ltx_align_center" id="S4.T1.22.14.14.3">0.925</td> <td class="ltx_td ltx_align_center" id="S4.T1.22.14.14.4">0.929</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S4.T1.22.14.14.5">0.932</td> <td class="ltx_td ltx_align_center" id="S4.T1.22.14.14.6">0.905</td> <td class="ltx_td ltx_align_center" id="S4.T1.22.14.14.7">0.924</td> <td class="ltx_td ltx_align_center" id="S4.T1.22.14.14.8">0.929</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S4.T1.22.14.14.9">0.928</td> <td class="ltx_td ltx_align_center" id="S4.T1.22.14.14.10">0.924</td> <td class="ltx_td ltx_align_center" id="S4.T1.22.14.14.11">0.927</td> <td class="ltx_td ltx_align_center" id="S4.T1.22.14.14.12">0.929</td> <td class="ltx_td ltx_align_center" id="S4.T1.22.14.14.13">0.930</td> </tr> <tr class="ltx_tr" id="S4.T1.23.15.15"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S4.T1.23.15.15.1"><math alttext="\mathbf{LPIPS}\downarrow" class="ltx_Math" display="inline" id="S4.T1.23.15.15.1.m1.1"><semantics id="S4.T1.23.15.15.1.m1.1a"><mrow id="S4.T1.23.15.15.1.m1.1.1" xref="S4.T1.23.15.15.1.m1.1.1.cmml"><mi id="S4.T1.23.15.15.1.m1.1.1.2" xref="S4.T1.23.15.15.1.m1.1.1.2.cmml">𝐋𝐏𝐈𝐏𝐒</mi><mo id="S4.T1.23.15.15.1.m1.1.1.1" stretchy="false" xref="S4.T1.23.15.15.1.m1.1.1.1.cmml">↓</mo><mi id="S4.T1.23.15.15.1.m1.1.1.3" xref="S4.T1.23.15.15.1.m1.1.1.3.cmml"></mi></mrow><annotation-xml encoding="MathML-Content" id="S4.T1.23.15.15.1.m1.1b"><apply id="S4.T1.23.15.15.1.m1.1.1.cmml" xref="S4.T1.23.15.15.1.m1.1.1"><ci id="S4.T1.23.15.15.1.m1.1.1.1.cmml" xref="S4.T1.23.15.15.1.m1.1.1.1">↓</ci><ci id="S4.T1.23.15.15.1.m1.1.1.2.cmml" xref="S4.T1.23.15.15.1.m1.1.1.2">𝐋𝐏𝐈𝐏𝐒</ci><csymbol cd="latexml" id="S4.T1.23.15.15.1.m1.1.1.3.cmml" xref="S4.T1.23.15.15.1.m1.1.1.3">absent</csymbol></apply></annotation-xml><annotation encoding="application/x-tex" id="S4.T1.23.15.15.1.m1.1c">\mathbf{LPIPS}\downarrow</annotation><annotation encoding="application/x-llamapun" id="S4.T1.23.15.15.1.m1.1d">bold_LPIPS ↓</annotation></semantics></math></th> <td class="ltx_td ltx_align_center" id="S4.T1.23.15.15.2">0.107</td> <td class="ltx_td ltx_align_center" id="S4.T1.23.15.15.3">0.108</td> <td class="ltx_td ltx_align_center" id="S4.T1.23.15.15.4">0.105</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S4.T1.23.15.15.5">0.103</td> <td class="ltx_td ltx_align_center" id="S4.T1.23.15.15.6">0</td> <td class="ltx_td ltx_align_center" id="S4.T1.23.15.15.7">0.106</td> <td class="ltx_td ltx_align_center" id="S4.T1.23.15.15.8">0.099</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S4.T1.23.15.15.9">0.109</td> <td class="ltx_td ltx_align_center" id="S4.T1.23.15.15.10">0.101</td> <td class="ltx_td ltx_align_center" id="S4.T1.23.15.15.11">0.125</td> <td class="ltx_td ltx_align_center" id="S4.T1.23.15.15.12">0.124</td> <td class="ltx_td ltx_align_center" id="S4.T1.23.15.15.13">0.121</td> </tr> <tr class="ltx_tr" id="S4.T1.24.16.16"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S4.T1.24.16.16.1"><math alttext="\|w\|_{0}\downarrow" class="ltx_Math" display="inline" id="S4.T1.24.16.16.1.m1.1"><semantics id="S4.T1.24.16.16.1.m1.1a"><mrow id="S4.T1.24.16.16.1.m1.1.2" xref="S4.T1.24.16.16.1.m1.1.2.cmml"><msub id="S4.T1.24.16.16.1.m1.1.2.2" xref="S4.T1.24.16.16.1.m1.1.2.2.cmml"><mrow id="S4.T1.24.16.16.1.m1.1.2.2.2.2" xref="S4.T1.24.16.16.1.m1.1.2.2.2.1.cmml"><mo id="S4.T1.24.16.16.1.m1.1.2.2.2.2.1" stretchy="false" xref="S4.T1.24.16.16.1.m1.1.2.2.2.1.1.cmml">‖</mo><mi id="S4.T1.24.16.16.1.m1.1.1" xref="S4.T1.24.16.16.1.m1.1.1.cmml">w</mi><mo id="S4.T1.24.16.16.1.m1.1.2.2.2.2.2" stretchy="false" xref="S4.T1.24.16.16.1.m1.1.2.2.2.1.1.cmml">‖</mo></mrow><mn id="S4.T1.24.16.16.1.m1.1.2.2.3" xref="S4.T1.24.16.16.1.m1.1.2.2.3.cmml">0</mn></msub><mo id="S4.T1.24.16.16.1.m1.1.2.1" stretchy="false" xref="S4.T1.24.16.16.1.m1.1.2.1.cmml">↓</mo><mi id="S4.T1.24.16.16.1.m1.1.2.3" xref="S4.T1.24.16.16.1.m1.1.2.3.cmml"></mi></mrow><annotation-xml encoding="MathML-Content" id="S4.T1.24.16.16.1.m1.1b"><apply id="S4.T1.24.16.16.1.m1.1.2.cmml" xref="S4.T1.24.16.16.1.m1.1.2"><ci id="S4.T1.24.16.16.1.m1.1.2.1.cmml" xref="S4.T1.24.16.16.1.m1.1.2.1">↓</ci><apply id="S4.T1.24.16.16.1.m1.1.2.2.cmml" xref="S4.T1.24.16.16.1.m1.1.2.2"><csymbol cd="ambiguous" id="S4.T1.24.16.16.1.m1.1.2.2.1.cmml" xref="S4.T1.24.16.16.1.m1.1.2.2">subscript</csymbol><apply id="S4.T1.24.16.16.1.m1.1.2.2.2.1.cmml" xref="S4.T1.24.16.16.1.m1.1.2.2.2.2"><csymbol cd="latexml" id="S4.T1.24.16.16.1.m1.1.2.2.2.1.1.cmml" xref="S4.T1.24.16.16.1.m1.1.2.2.2.2.1">norm</csymbol><ci id="S4.T1.24.16.16.1.m1.1.1.cmml" xref="S4.T1.24.16.16.1.m1.1.1">𝑤</ci></apply><cn id="S4.T1.24.16.16.1.m1.1.2.2.3.cmml" type="integer" xref="S4.T1.24.16.16.1.m1.1.2.2.3">0</cn></apply><csymbol cd="latexml" id="S4.T1.24.16.16.1.m1.1.2.3.cmml" xref="S4.T1.24.16.16.1.m1.1.2.3">absent</csymbol></apply></annotation-xml><annotation encoding="application/x-tex" id="S4.T1.24.16.16.1.m1.1c">\|w\|_{0}\downarrow</annotation><annotation encoding="application/x-llamapun" id="S4.T1.24.16.16.1.m1.1d">∥ italic_w ∥ start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT ↓</annotation></semantics></math></th> <td class="ltx_td ltx_align_center" id="S4.T1.24.16.16.2">74</td> <td class="ltx_td ltx_align_center" id="S4.T1.24.16.16.3">16</td> <td class="ltx_td ltx_align_center" id="S4.T1.24.16.16.4">26</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S4.T1.24.16.16.5">65</td> <td class="ltx_td ltx_align_center" id="S4.T1.24.16.16.6">7</td> <td class="ltx_td ltx_align_center" id="S4.T1.24.16.16.7">9</td> <td class="ltx_td ltx_align_center" id="S4.T1.24.16.16.8">15</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S4.T1.24.16.16.9">80</td> <td class="ltx_td ltx_align_center" id="S4.T1.24.16.16.10">88</td> <td class="ltx_td ltx_align_center" id="S4.T1.24.16.16.11">37</td> <td class="ltx_td ltx_align_center" id="S4.T1.24.16.16.12">47</td> <td class="ltx_td ltx_align_center" id="S4.T1.24.16.16.13">70</td> </tr> <tr class="ltx_tr" id="S4.T1.25.17.17"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S4.T1.25.17.17.1"><math alttext="\mathbf{GFLOPs}\downarrow" class="ltx_Math" display="inline" id="S4.T1.25.17.17.1.m1.1"><semantics id="S4.T1.25.17.17.1.m1.1a"><mrow id="S4.T1.25.17.17.1.m1.1.1" xref="S4.T1.25.17.17.1.m1.1.1.cmml"><mi id="S4.T1.25.17.17.1.m1.1.1.2" xref="S4.T1.25.17.17.1.m1.1.1.2.cmml">𝐆𝐅𝐋𝐎𝐏𝐬</mi><mo id="S4.T1.25.17.17.1.m1.1.1.1" stretchy="false" xref="S4.T1.25.17.17.1.m1.1.1.1.cmml">↓</mo><mi id="S4.T1.25.17.17.1.m1.1.1.3" xref="S4.T1.25.17.17.1.m1.1.1.3.cmml"></mi></mrow><annotation-xml encoding="MathML-Content" id="S4.T1.25.17.17.1.m1.1b"><apply id="S4.T1.25.17.17.1.m1.1.1.cmml" xref="S4.T1.25.17.17.1.m1.1.1"><ci id="S4.T1.25.17.17.1.m1.1.1.1.cmml" xref="S4.T1.25.17.17.1.m1.1.1.1">↓</ci><ci id="S4.T1.25.17.17.1.m1.1.1.2.cmml" xref="S4.T1.25.17.17.1.m1.1.1.2">𝐆𝐅𝐋𝐎𝐏𝐬</ci><csymbol cd="latexml" id="S4.T1.25.17.17.1.m1.1.1.3.cmml" xref="S4.T1.25.17.17.1.m1.1.1.3">absent</csymbol></apply></annotation-xml><annotation encoding="application/x-tex" id="S4.T1.25.17.17.1.m1.1c">\mathbf{GFLOPs}\downarrow</annotation><annotation encoding="application/x-llamapun" id="S4.T1.25.17.17.1.m1.1d">bold_GFLOPs ↓</annotation></semantics></math></th> <td class="ltx_td ltx_align_center" id="S4.T1.25.17.17.2">2666</td> <td class="ltx_td ltx_align_center" id="S4.T1.25.17.17.3">1626</td> <td class="ltx_td ltx_align_center" id="S4.T1.25.17.17.4">3066</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S4.T1.25.17.17.5">7198</td> <td class="ltx_td ltx_align_center" id="S4.T1.25.17.17.6">3567</td> <td class="ltx_td ltx_align_center" id="S4.T1.25.17.17.7">2791</td> <td class="ltx_td ltx_align_center" id="S4.T1.25.17.17.8">5126</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S4.T1.25.17.17.9">9146</td> <td class="ltx_td ltx_align_center" id="S4.T1.25.17.17.10">211</td> <td class="ltx_td ltx_align_center" id="S4.T1.25.17.17.11">229</td> <td class="ltx_td ltx_align_center" id="S4.T1.25.17.17.12">531</td> <td class="ltx_td ltx_align_center" id="S4.T1.25.17.17.13">1003</td> </tr> <tr class="ltx_tr" id="S4.T1.26.18.18"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S4.T1.26.18.18.1"><math alttext="\mathbf{Time}\downarrow" class="ltx_Math" display="inline" id="S4.T1.26.18.18.1.m1.1"><semantics id="S4.T1.26.18.18.1.m1.1a"><mrow id="S4.T1.26.18.18.1.m1.1.1" xref="S4.T1.26.18.18.1.m1.1.1.cmml"><mi id="S4.T1.26.18.18.1.m1.1.1.2" xref="S4.T1.26.18.18.1.m1.1.1.2.cmml">𝐓𝐢𝐦𝐞</mi><mo id="S4.T1.26.18.18.1.m1.1.1.1" stretchy="false" xref="S4.T1.26.18.18.1.m1.1.1.1.cmml">↓</mo><mi id="S4.T1.26.18.18.1.m1.1.1.3" xref="S4.T1.26.18.18.1.m1.1.1.3.cmml"></mi></mrow><annotation-xml encoding="MathML-Content" id="S4.T1.26.18.18.1.m1.1b"><apply id="S4.T1.26.18.18.1.m1.1.1.cmml" xref="S4.T1.26.18.18.1.m1.1.1"><ci id="S4.T1.26.18.18.1.m1.1.1.1.cmml" xref="S4.T1.26.18.18.1.m1.1.1.1">↓</ci><ci id="S4.T1.26.18.18.1.m1.1.1.2.cmml" xref="S4.T1.26.18.18.1.m1.1.1.2">𝐓𝐢𝐦𝐞</ci><csymbol cd="latexml" id="S4.T1.26.18.18.1.m1.1.1.3.cmml" xref="S4.T1.26.18.18.1.m1.1.1.3">absent</csymbol></apply></annotation-xml><annotation encoding="application/x-tex" id="S4.T1.26.18.18.1.m1.1c">\mathbf{Time}\downarrow</annotation><annotation encoding="application/x-llamapun" id="S4.T1.26.18.18.1.m1.1d">bold_Time ↓</annotation></semantics></math></th> <td class="ltx_td ltx_align_center" id="S4.T1.26.18.18.2">22’</td> <td class="ltx_td ltx_align_center" id="S4.T1.26.18.18.3">25’</td> <td class="ltx_td ltx_align_center" id="S4.T1.26.18.18.4">28’</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S4.T1.26.18.18.5">38’</td> <td class="ltx_td ltx_align_center" id="S4.T1.26.18.18.6">72’</td> <td class="ltx_td ltx_align_center" id="S4.T1.26.18.18.7">70’</td> <td class="ltx_td ltx_align_center" id="S4.T1.26.18.18.8">78’</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S4.T1.26.18.18.9">101’</td> <td class="ltx_td ltx_align_center" id="S4.T1.26.18.18.10">14’</td> <td class="ltx_td ltx_align_center" id="S4.T1.26.18.18.11">37’</td> <td class="ltx_td ltx_align_center" id="S4.T1.26.18.18.12">39’</td> <td class="ltx_td ltx_align_center" id="S4.T1.26.18.18.13">45’</td> </tr> <tr class="ltx_tr" id="S4.T1.27.19.19"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_b ltx_border_r ltx_border_t" id="S4.T1.27.19.19.2" rowspan="6">LLFF</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r ltx_border_t" id="S4.T1.27.19.19.1"><math alttext="\mathbf{PSNR}\uparrow" class="ltx_Math" display="inline" id="S4.T1.27.19.19.1.m1.1"><semantics id="S4.T1.27.19.19.1.m1.1a"><mrow id="S4.T1.27.19.19.1.m1.1.1" xref="S4.T1.27.19.19.1.m1.1.1.cmml"><mi id="S4.T1.27.19.19.1.m1.1.1.2" xref="S4.T1.27.19.19.1.m1.1.1.2.cmml">𝐏𝐒𝐍𝐑</mi><mo id="S4.T1.27.19.19.1.m1.1.1.1" stretchy="false" xref="S4.T1.27.19.19.1.m1.1.1.1.cmml">↑</mo><mi id="S4.T1.27.19.19.1.m1.1.1.3" xref="S4.T1.27.19.19.1.m1.1.1.3.cmml"></mi></mrow><annotation-xml encoding="MathML-Content" id="S4.T1.27.19.19.1.m1.1b"><apply id="S4.T1.27.19.19.1.m1.1.1.cmml" xref="S4.T1.27.19.19.1.m1.1.1"><ci id="S4.T1.27.19.19.1.m1.1.1.1.cmml" xref="S4.T1.27.19.19.1.m1.1.1.1">↑</ci><ci id="S4.T1.27.19.19.1.m1.1.1.2.cmml" xref="S4.T1.27.19.19.1.m1.1.1.2">𝐏𝐒𝐍𝐑</ci><csymbol cd="latexml" id="S4.T1.27.19.19.1.m1.1.1.3.cmml" xref="S4.T1.27.19.19.1.m1.1.1.3">absent</csymbol></apply></annotation-xml><annotation encoding="application/x-tex" id="S4.T1.27.19.19.1.m1.1c">\mathbf{PSNR}\uparrow</annotation><annotation encoding="application/x-llamapun" id="S4.T1.27.19.19.1.m1.1d">bold_PSNR ↑</annotation></semantics></math></th> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.T1.27.19.19.3">26.24</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.T1.27.19.19.4">26.43</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.T1.27.19.19.5">26.62</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S4.T1.27.19.19.6">26.65</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.T1.27.19.19.7">26.71</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.T1.27.19.19.8">26.73</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.T1.27.19.19.9">27.09</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S4.T1.27.19.19.10">27.10</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.T1.27.19.19.11">24.97</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.T1.27.19.19.12">24.90</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.T1.27.19.19.13">25.17</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.T1.27.19.19.14">25.19</td> </tr> <tr class="ltx_tr" id="S4.T1.28.20.20"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S4.T1.28.20.20.1"><math alttext="\mathbf{SSIM}\uparrow" class="ltx_Math" display="inline" id="S4.T1.28.20.20.1.m1.1"><semantics id="S4.T1.28.20.20.1.m1.1a"><mrow id="S4.T1.28.20.20.1.m1.1.1" xref="S4.T1.28.20.20.1.m1.1.1.cmml"><mi id="S4.T1.28.20.20.1.m1.1.1.2" xref="S4.T1.28.20.20.1.m1.1.1.2.cmml">𝐒𝐒𝐈𝐌</mi><mo id="S4.T1.28.20.20.1.m1.1.1.1" stretchy="false" xref="S4.T1.28.20.20.1.m1.1.1.1.cmml">↑</mo><mi id="S4.T1.28.20.20.1.m1.1.1.3" xref="S4.T1.28.20.20.1.m1.1.1.3.cmml"></mi></mrow><annotation-xml encoding="MathML-Content" id="S4.T1.28.20.20.1.m1.1b"><apply id="S4.T1.28.20.20.1.m1.1.1.cmml" xref="S4.T1.28.20.20.1.m1.1.1"><ci id="S4.T1.28.20.20.1.m1.1.1.1.cmml" xref="S4.T1.28.20.20.1.m1.1.1.1">↑</ci><ci id="S4.T1.28.20.20.1.m1.1.1.2.cmml" xref="S4.T1.28.20.20.1.m1.1.1.2">𝐒𝐒𝐈𝐌</ci><csymbol cd="latexml" id="S4.T1.28.20.20.1.m1.1.1.3.cmml" xref="S4.T1.28.20.20.1.m1.1.1.3">absent</csymbol></apply></annotation-xml><annotation encoding="application/x-tex" id="S4.T1.28.20.20.1.m1.1c">\mathbf{SSIM}\uparrow</annotation><annotation encoding="application/x-llamapun" id="S4.T1.28.20.20.1.m1.1d">bold_SSIM ↑</annotation></semantics></math></th> <td class="ltx_td ltx_align_center" id="S4.T1.28.20.20.2">0.831</td> <td class="ltx_td ltx_align_center" id="S4.T1.28.20.20.3">0.832</td> <td class="ltx_td ltx_align_center" id="S4.T1.28.20.20.4">0.839</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S4.T1.28.20.20.5">0.843</td> <td class="ltx_td ltx_align_center" id="S4.T1.28.20.20.6">0.835</td> <td class="ltx_td ltx_align_center" id="S4.T1.28.20.20.7">0.836</td> <td class="ltx_td ltx_align_center" id="S4.T1.28.20.20.8">0.862</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S4.T1.28.20.20.9">0.864</td> <td class="ltx_td ltx_align_center" id="S4.T1.28.20.20.10">0.764</td> <td class="ltx_td ltx_align_center" id="S4.T1.28.20.20.11">0.763</td> <td class="ltx_td ltx_align_center" id="S4.T1.28.20.20.12">0.777</td> <td class="ltx_td ltx_align_center" id="S4.T1.28.20.20.13">0.778</td> </tr> <tr class="ltx_tr" id="S4.T1.29.21.21"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S4.T1.29.21.21.1"><math alttext="\mathbf{LPIPS}\downarrow" class="ltx_Math" display="inline" id="S4.T1.29.21.21.1.m1.1"><semantics id="S4.T1.29.21.21.1.m1.1a"><mrow id="S4.T1.29.21.21.1.m1.1.1" xref="S4.T1.29.21.21.1.m1.1.1.cmml"><mi id="S4.T1.29.21.21.1.m1.1.1.2" xref="S4.T1.29.21.21.1.m1.1.1.2.cmml">𝐋𝐏𝐈𝐏𝐒</mi><mo id="S4.T1.29.21.21.1.m1.1.1.1" stretchy="false" xref="S4.T1.29.21.21.1.m1.1.1.1.cmml">↓</mo><mi id="S4.T1.29.21.21.1.m1.1.1.3" xref="S4.T1.29.21.21.1.m1.1.1.3.cmml"></mi></mrow><annotation-xml encoding="MathML-Content" id="S4.T1.29.21.21.1.m1.1b"><apply id="S4.T1.29.21.21.1.m1.1.1.cmml" xref="S4.T1.29.21.21.1.m1.1.1"><ci id="S4.T1.29.21.21.1.m1.1.1.1.cmml" xref="S4.T1.29.21.21.1.m1.1.1.1">↓</ci><ci id="S4.T1.29.21.21.1.m1.1.1.2.cmml" xref="S4.T1.29.21.21.1.m1.1.1.2">𝐋𝐏𝐈𝐏𝐒</ci><csymbol cd="latexml" id="S4.T1.29.21.21.1.m1.1.1.3.cmml" xref="S4.T1.29.21.21.1.m1.1.1.3">absent</csymbol></apply></annotation-xml><annotation encoding="application/x-tex" id="S4.T1.29.21.21.1.m1.1c">\mathbf{LPIPS}\downarrow</annotation><annotation encoding="application/x-llamapun" id="S4.T1.29.21.21.1.m1.1d">bold_LPIPS ↓</annotation></semantics></math></th> <td class="ltx_td ltx_align_center" id="S4.T1.29.21.21.2">0.136</td> <td class="ltx_td ltx_align_center" id="S4.T1.29.21.21.3">0.115</td> <td class="ltx_td ltx_align_center" id="S4.T1.29.21.21.4">0.111</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S4.T1.29.21.21.5">0.107</td> <td class="ltx_td ltx_align_center" id="S4.T1.29.21.21.6">0.114</td> <td class="ltx_td ltx_align_center" id="S4.T1.29.21.21.7">0.111</td> <td class="ltx_td ltx_align_center" id="S4.T1.29.21.21.8">0.101</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S4.T1.29.21.21.9">0.101</td> <td class="ltx_td ltx_align_center" id="S4.T1.29.21.21.10">0.128</td> <td class="ltx_td ltx_align_center" id="S4.T1.29.21.21.11">0.239</td> <td class="ltx_td ltx_align_center" id="S4.T1.29.21.21.12">0.237</td> <td class="ltx_td ltx_align_center" id="S4.T1.29.21.21.13">0.234</td> </tr> <tr class="ltx_tr" id="S4.T1.30.22.22"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S4.T1.30.22.22.1"><math alttext="\|w\|_{0}\downarrow" class="ltx_Math" display="inline" id="S4.T1.30.22.22.1.m1.1"><semantics id="S4.T1.30.22.22.1.m1.1a"><mrow id="S4.T1.30.22.22.1.m1.1.2" xref="S4.T1.30.22.22.1.m1.1.2.cmml"><msub id="S4.T1.30.22.22.1.m1.1.2.2" xref="S4.T1.30.22.22.1.m1.1.2.2.cmml"><mrow id="S4.T1.30.22.22.1.m1.1.2.2.2.2" xref="S4.T1.30.22.22.1.m1.1.2.2.2.1.cmml"><mo id="S4.T1.30.22.22.1.m1.1.2.2.2.2.1" stretchy="false" xref="S4.T1.30.22.22.1.m1.1.2.2.2.1.1.cmml">‖</mo><mi id="S4.T1.30.22.22.1.m1.1.1" xref="S4.T1.30.22.22.1.m1.1.1.cmml">w</mi><mo id="S4.T1.30.22.22.1.m1.1.2.2.2.2.2" stretchy="false" xref="S4.T1.30.22.22.1.m1.1.2.2.2.1.1.cmml">‖</mo></mrow><mn id="S4.T1.30.22.22.1.m1.1.2.2.3" xref="S4.T1.30.22.22.1.m1.1.2.2.3.cmml">0</mn></msub><mo id="S4.T1.30.22.22.1.m1.1.2.1" stretchy="false" xref="S4.T1.30.22.22.1.m1.1.2.1.cmml">↓</mo><mi id="S4.T1.30.22.22.1.m1.1.2.3" xref="S4.T1.30.22.22.1.m1.1.2.3.cmml"></mi></mrow><annotation-xml encoding="MathML-Content" id="S4.T1.30.22.22.1.m1.1b"><apply id="S4.T1.30.22.22.1.m1.1.2.cmml" xref="S4.T1.30.22.22.1.m1.1.2"><ci id="S4.T1.30.22.22.1.m1.1.2.1.cmml" xref="S4.T1.30.22.22.1.m1.1.2.1">↓</ci><apply id="S4.T1.30.22.22.1.m1.1.2.2.cmml" xref="S4.T1.30.22.22.1.m1.1.2.2"><csymbol cd="ambiguous" id="S4.T1.30.22.22.1.m1.1.2.2.1.cmml" xref="S4.T1.30.22.22.1.m1.1.2.2">subscript</csymbol><apply id="S4.T1.30.22.22.1.m1.1.2.2.2.1.cmml" xref="S4.T1.30.22.22.1.m1.1.2.2.2.2"><csymbol cd="latexml" id="S4.T1.30.22.22.1.m1.1.2.2.2.1.1.cmml" xref="S4.T1.30.22.22.1.m1.1.2.2.2.2.1">norm</csymbol><ci id="S4.T1.30.22.22.1.m1.1.1.cmml" xref="S4.T1.30.22.22.1.m1.1.1">𝑤</ci></apply><cn id="S4.T1.30.22.22.1.m1.1.2.2.3.cmml" type="integer" xref="S4.T1.30.22.22.1.m1.1.2.2.3">0</cn></apply><csymbol cd="latexml" id="S4.T1.30.22.22.1.m1.1.2.3.cmml" xref="S4.T1.30.22.22.1.m1.1.2.3">absent</csymbol></apply></annotation-xml><annotation encoding="application/x-tex" id="S4.T1.30.22.22.1.m1.1c">\|w\|_{0}\downarrow</annotation><annotation encoding="application/x-llamapun" id="S4.T1.30.22.22.1.m1.1d">∥ italic_w ∥ start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT ↓</annotation></semantics></math></th> <td class="ltx_td ltx_align_center" id="S4.T1.30.22.22.2">62</td> <td class="ltx_td ltx_align_center" id="S4.T1.30.22.22.3">26</td> <td class="ltx_td ltx_align_center" id="S4.T1.30.22.22.4">40</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S4.T1.30.22.22.5">113</td> <td class="ltx_td ltx_align_center" id="S4.T1.30.22.22.6">19</td> <td class="ltx_td ltx_align_center" id="S4.T1.30.22.22.7">11</td> <td class="ltx_td ltx_align_center" id="S4.T1.30.22.22.8">16</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S4.T1.30.22.22.9">23</td> <td class="ltx_td ltx_align_center" id="S4.T1.30.22.22.10">152</td> <td class="ltx_td ltx_align_center" id="S4.T1.30.22.22.11">68</td> <td class="ltx_td ltx_align_center" id="S4.T1.30.22.22.12">75</td> <td class="ltx_td ltx_align_center" id="S4.T1.30.22.22.13">148</td> </tr> <tr class="ltx_tr" id="S4.T1.31.23.23"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S4.T1.31.23.23.1"><math alttext="\mathbf{GFLOPs}\downarrow" class="ltx_Math" 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ltx_align_center ltx_border_b" id="S4.T1.32.24.24.10">24’</td> <td class="ltx_td ltx_align_center ltx_border_b" id="S4.T1.32.24.24.11">25’</td> <td class="ltx_td ltx_align_center ltx_border_b" id="S4.T1.32.24.24.12">46’</td> <td class="ltx_td ltx_align_center ltx_border_b" id="S4.T1.32.24.24.13">42’</td> </tr> </tbody> </table> </div> </figure> </section> <section class="ltx_subsection" id="S4.SS2"> <h3 class="ltx_title ltx_title_subsection"> 4.2 Metrics and Datasets</h3> <div class="ltx_para" id="S4.SS2.p1"> For each test, image-quality metrics such as PSNR, SSIM <cite class="ltx_cite ltx_citemacro_cite">[<a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#bib.bib31" title="">31</a>]</cite>, and LPIPS <cite class="ltx_cite ltx_citemacro_cite">[<a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#bib.bib35" title="">35</a>]</cite> (computed on AlexNet <cite class="ltx_cite ltx_citemacro_cite">[<a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#bib.bib19" title="">19</a>]</cite>) are presented. Additionally, we report the number of non-zero parameters as <math alttext="\|w_{0}\|" class="ltx_Math" display="inline" id="S4.SS2.p1.1.m1.1"><semantics id="S4.SS2.p1.1.m1.1a"><mrow id="S4.SS2.p1.1.m1.1.1.1" xref="S4.SS2.p1.1.m1.1.1.2.cmml"><mo id="S4.SS2.p1.1.m1.1.1.1.2" stretchy="false" xref="S4.SS2.p1.1.m1.1.1.2.1.cmml">‖</mo><msub id="S4.SS2.p1.1.m1.1.1.1.1" xref="S4.SS2.p1.1.m1.1.1.1.1.cmml"><mi id="S4.SS2.p1.1.m1.1.1.1.1.2" xref="S4.SS2.p1.1.m1.1.1.1.1.2.cmml">w</mi><mn id="S4.SS2.p1.1.m1.1.1.1.1.3" xref="S4.SS2.p1.1.m1.1.1.1.1.3.cmml">0</mn></msub><mo id="S4.SS2.p1.1.m1.1.1.1.3" stretchy="false" xref="S4.SS2.p1.1.m1.1.1.2.1.cmml">‖</mo></mrow><annotation-xml encoding="MathML-Content" id="S4.SS2.p1.1.m1.1b"><apply id="S4.SS2.p1.1.m1.1.1.2.cmml" xref="S4.SS2.p1.1.m1.1.1.1"><csymbol cd="latexml" id="S4.SS2.p1.1.m1.1.1.2.1.cmml" xref="S4.SS2.p1.1.m1.1.1.1.2">norm</csymbol><apply id="S4.SS2.p1.1.m1.1.1.1.1.cmml" xref="S4.SS2.p1.1.m1.1.1.1.1"><csymbol cd="ambiguous" id="S4.SS2.p1.1.m1.1.1.1.1.1.cmml" xref="S4.SS2.p1.1.m1.1.1.1.1">subscript</csymbol><ci id="S4.SS2.p1.1.m1.1.1.1.1.2.cmml" xref="S4.SS2.p1.1.m1.1.1.1.1.2">𝑤</ci><cn id="S4.SS2.p1.1.m1.1.1.1.1.3.cmml" type="integer" xref="S4.SS2.p1.1.m1.1.1.1.1.3">0</cn></apply></apply></annotation-xml><annotation encoding="application/x-tex" id="S4.SS2.p1.1.m1.1c">\|w_{0}\|</annotation><annotation encoding="application/x-llamapun" id="S4.SS2.p1.1.m1.1d">∥ italic_w start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT ∥</annotation></semantics></math>, the average GFLOPs required by each model to render the images of the test set, and total training times. We present results obtained across four major datasets, namely: Synthetic-NeRF <cite class="ltx_cite ltx_citemacro_cite">[<a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#bib.bib25" title="">25</a>]</cite>, Neural Sparse Voxel Field Dataset (NSVF) <cite class="ltx_cite ltx_citemacro_cite">[<a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#bib.bib21" title="">21</a>]</cite>, TanksAndTemple <cite class="ltx_cite ltx_citemacro_cite">[<a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#bib.bib18" title="">18</a>]</cite>, and Local Light Field Fusion Dataset (LLFF) <cite class="ltx_cite ltx_citemacro_cite">[<a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#bib.bib24" title="">24</a>]</cite>. </div> </section> <section class="ltx_subsection" id="S4.SS3"> <h3 class="ltx_title ltx_title_subsection"> 4.3 Quantitative Results</h3> <div class="ltx_para" id="S4.SS3.p1"> The main experimental results in terms of the metrics defined above are shown in Table <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S4.T1" title="Table 1 ‣ 4.1 Setting ‣ 4 Experiments ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">1</a>. Here, we present the results obtained using a mixture of <math alttext="M=5" class="ltx_Math" display="inline" id="S4.SS3.p1.1.m1.1"><semantics id="S4.SS3.p1.1.m1.1a"><mrow id="S4.SS3.p1.1.m1.1.1" xref="S4.SS3.p1.1.m1.1.1.cmml"><mi id="S4.SS3.p1.1.m1.1.1.2" xref="S4.SS3.p1.1.m1.1.1.2.cmml">M</mi><mo id="S4.SS3.p1.1.m1.1.1.1" xref="S4.SS3.p1.1.m1.1.1.1.cmml">=</mo><mn id="S4.SS3.p1.1.m1.1.1.3" xref="S4.SS3.p1.1.m1.1.1.3.cmml">5</mn></mrow><annotation-xml encoding="MathML-Content" id="S4.SS3.p1.1.m1.1b"><apply id="S4.SS3.p1.1.m1.1.1.cmml" xref="S4.SS3.p1.1.m1.1.1"><eq id="S4.SS3.p1.1.m1.1.1.1.cmml" xref="S4.SS3.p1.1.m1.1.1.1"></eq><ci id="S4.SS3.p1.1.m1.1.1.2.cmml" xref="S4.SS3.p1.1.m1.1.1.2">𝑀</ci><cn id="S4.SS3.p1.1.m1.1.1.3.cmml" type="integer" xref="S4.SS3.p1.1.m1.1.1.3">5</cn></apply></annotation-xml><annotation encoding="application/x-tex" id="S4.SS3.p1.1.m1.1c">M=5</annotation><annotation encoding="application/x-llamapun" id="S4.SS3.p1.1.m1.1d">italic_M = 5</annotation></semantics></math> experts; further configurations can be found in the supplementary Sec. <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S12" title="12 Additional Results ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">12</a>. Our experiments reveal that our MoE provides a significant rendering quality improvement with respect to the baseline with no or limited impact in terms of computational cost. The increase in rendering quality is notable in Synthetic NeRF (up to 1 dB) and NSVF (up to 1.3 dB). Although more moderate, improvements are still evident, even in more challenging datasets such as TanksAndTemple and LLFF, with about 0.5 dB gain. While Top-<math alttext="1" class="ltx_Math" display="inline" id="S4.SS3.p1.2.m2.1"><semantics id="S4.SS3.p1.2.m2.1a"><mn id="S4.SS3.p1.2.m2.1.1" xref="S4.SS3.p1.2.m2.1.1.cmml">1</mn><annotation-xml encoding="MathML-Content" id="S4.SS3.p1.2.m2.1b"><cn id="S4.SS3.p1.2.m2.1.1.cmml" type="integer" xref="S4.SS3.p1.2.m2.1.1">1</cn></annotation-xml><annotation encoding="application/x-tex" id="S4.SS3.p1.2.m2.1c">1</annotation><annotation encoding="application/x-llamapun" id="S4.SS3.p1.2.m2.1d">1</annotation></semantics></math> can already achieve state-of-the-art render quality, the Top-<math alttext="2" class="ltx_Math" display="inline" id="S4.SS3.p1.3.m3.1"><semantics id="S4.SS3.p1.3.m3.1a"><mn id="S4.SS3.p1.3.m3.1.1" xref="S4.SS3.p1.3.m3.1.1.cmml">2</mn><annotation-xml encoding="MathML-Content" id="S4.SS3.p1.3.m3.1b"><cn id="S4.SS3.p1.3.m3.1.1.cmml" type="integer" xref="S4.SS3.p1.3.m3.1.1">2</cn></annotation-xml><annotation encoding="application/x-tex" id="S4.SS3.p1.3.m3.1c">2</annotation><annotation encoding="application/x-llamapun" id="S4.SS3.p1.3.m3.1d">2</annotation></semantics></math> strategy further enhances image quality, reaching levels comparable to the ensemble but with much greater efficiency (about half the average FLOPs per rendering) and using significantly fewer parameters. This observation is also illustrated in Figure <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S4.F3" title="Figure 3 ‣ 4.3 Quantitative Results ‣ 4 Experiments ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">3</a> , where FLOPS/PSNR plots are shown (each marker in every curve refers to the cases with <math alttext="M=3,4,5" class="ltx_Math" display="inline" id="S4.SS3.p1.4.m4.3"><semantics id="S4.SS3.p1.4.m4.3a"><mrow id="S4.SS3.p1.4.m4.3.4" xref="S4.SS3.p1.4.m4.3.4.cmml"><mi id="S4.SS3.p1.4.m4.3.4.2" xref="S4.SS3.p1.4.m4.3.4.2.cmml">M</mi><mo id="S4.SS3.p1.4.m4.3.4.1" xref="S4.SS3.p1.4.m4.3.4.1.cmml">=</mo><mrow id="S4.SS3.p1.4.m4.3.4.3.2" xref="S4.SS3.p1.4.m4.3.4.3.1.cmml"><mn id="S4.SS3.p1.4.m4.1.1" xref="S4.SS3.p1.4.m4.1.1.cmml">3</mn><mo id="S4.SS3.p1.4.m4.3.4.3.2.1" xref="S4.SS3.p1.4.m4.3.4.3.1.cmml">,</mo><mn id="S4.SS3.p1.4.m4.2.2" xref="S4.SS3.p1.4.m4.2.2.cmml">4</mn><mo id="S4.SS3.p1.4.m4.3.4.3.2.2" xref="S4.SS3.p1.4.m4.3.4.3.1.cmml">,</mo><mn id="S4.SS3.p1.4.m4.3.3" xref="S4.SS3.p1.4.m4.3.3.cmml">5</mn></mrow></mrow><annotation-xml encoding="MathML-Content" id="S4.SS3.p1.4.m4.3b"><apply id="S4.SS3.p1.4.m4.3.4.cmml" xref="S4.SS3.p1.4.m4.3.4"><eq id="S4.SS3.p1.4.m4.3.4.1.cmml" xref="S4.SS3.p1.4.m4.3.4.1"></eq><ci id="S4.SS3.p1.4.m4.3.4.2.cmml" xref="S4.SS3.p1.4.m4.3.4.2">𝑀</ci><list id="S4.SS3.p1.4.m4.3.4.3.1.cmml" xref="S4.SS3.p1.4.m4.3.4.3.2"><cn id="S4.SS3.p1.4.m4.1.1.cmml" type="integer" xref="S4.SS3.p1.4.m4.1.1">3</cn><cn id="S4.SS3.p1.4.m4.2.2.cmml" type="integer" xref="S4.SS3.p1.4.m4.2.2">4</cn><cn id="S4.SS3.p1.4.m4.3.3.cmml" type="integer" xref="S4.SS3.p1.4.m4.3.3">5</cn></list></apply></annotation-xml><annotation encoding="application/x-tex" id="S4.SS3.p1.4.m4.3c">M=3,4,5</annotation><annotation encoding="application/x-llamapun" id="S4.SS3.p1.4.m4.3d">italic_M = 3 , 4 , 5</annotation></semantics></math> experts respectively). Training times are on average are longer but still acceptable (in the worst-case scenario, around 1h is required to train our MoE). However, in the case of Top-1, they can be faster than baselines. This is because of our resolution methods, which tend to favor low-resolution models. Based on these analyses, the Top-<math alttext="2" class="ltx_Math" display="inline" id="S4.SS3.p1.5.m5.1"><semantics id="S4.SS3.p1.5.m5.1a"><mn id="S4.SS3.p1.5.m5.1.1" xref="S4.SS3.p1.5.m5.1.1.cmml">2</mn><annotation-xml encoding="MathML-Content" id="S4.SS3.p1.5.m5.1b"><cn id="S4.SS3.p1.5.m5.1.1.cmml" type="integer" xref="S4.SS3.p1.5.m5.1.1">2</cn></annotation-xml><annotation encoding="application/x-tex" id="S4.SS3.p1.5.m5.1c">2</annotation><annotation encoding="application/x-llamapun" id="S4.SS3.p1.5.m5.1d">2</annotation></semantics></math> strategy strikes an excellent quality/cost trade-off. The ensembling configuration, using all experts, represents an upper bound in terms of image quality while being the worst case in computational terms. </div> <figure class="ltx_figure" id="S4.F3"> <div class="ltx_flex_figure"> <div class="ltx_flex_cell ltx_flex_size_3"> <figure class="ltx_figure ltx_figure_panel ltx_align_center" id="S4.F3.1"><img alt="Refer to caption" class="ltx_graphics ltx_img_landscape" height="171" id="S4.F3.1.g1" src="x5.png" width="830"/> </figure> </div> <div class="ltx_flex_cell ltx_flex_size_3"> <figure class="ltx_figure ltx_figure_panel ltx_align_center" id="S4.F3.2"><img alt="Refer to caption" class="ltx_graphics ltx_img_landscape" height="171" id="S4.F3.2.g1" src="x6.png" width="830"/> </figure> </div> <div class="ltx_flex_cell ltx_flex_size_3"> <figure class="ltx_figure ltx_figure_panel ltx_align_center" id="S4.F3.3"><img alt="Refer to caption" class="ltx_graphics ltx_img_landscape" height="171" id="S4.F3.3.g1" src="x7.png" width="830"/> </figure> </div> <div class="ltx_flex_break"></div> <div class="ltx_flex_cell ltx_flex_size_3"> <figure class="ltx_figure ltx_figure_panel ltx_align_center" id="S4.F3.sf1"><img alt="Refer to caption" class="ltx_graphics ltx_img_landscape" height="171" id="S4.F3.sf1.g1" src="x8.png" width="830"/> <figcaption class="ltx_caption">(a) DVGO</figcaption> </figure> </div> <div class="ltx_flex_cell ltx_flex_size_3"> <figure class="ltx_figure ltx_figure_panel ltx_align_center" id="S4.F3.sf2"><img alt="Refer to caption" class="ltx_graphics ltx_img_landscape" height="171" id="S4.F3.sf2.g1" src="x9.png" width="830"/> <figcaption class="ltx_caption">(b) TensoRF</figcaption> </figure> </div> <div class="ltx_flex_cell ltx_flex_size_3"> <figure class="ltx_figure ltx_figure_panel ltx_align_center" id="S4.F3.sf3"><img alt="Refer to caption" class="ltx_graphics ltx_img_landscape" height="171" id="S4.F3.sf3.g1" src="x10.png" width="830"/> <figcaption class="ltx_caption">(c) Instant-NGP</figcaption> </figure> </div> </div> <figcaption class="ltx_caption ltx_centering">Figure 3: PSNR/GFLOPs plots for Synthetic-NeRF and TanksAndTemple. The remaining datasets show similar results.</figcaption> </figure> </section> <section class="ltx_subsection" id="S4.SS4"> <h3 class="ltx_title ltx_title_subsection"> 4.4 Qualitative Results</h3> <div class="ltx_para" id="S4.SS4.p1"> Figure <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S4.F4" title="Figure 4 ‣ 4.4 Qualitative Results ‣ 4 Experiments ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">4</a> shows visual comparisons among the baseline, ensemble, Top-<math alttext="1" class="ltx_Math" display="inline" id="S4.SS4.p1.1.m1.1"><semantics id="S4.SS4.p1.1.m1.1a"><mn id="S4.SS4.p1.1.m1.1.1" xref="S4.SS4.p1.1.m1.1.1.cmml">1</mn><annotation-xml encoding="MathML-Content" id="S4.SS4.p1.1.m1.1b"><cn id="S4.SS4.p1.1.m1.1.1.cmml" type="integer" xref="S4.SS4.p1.1.m1.1.1">1</cn></annotation-xml><annotation encoding="application/x-tex" id="S4.SS4.p1.1.m1.1c">1</annotation><annotation encoding="application/x-llamapun" id="S4.SS4.p1.1.m1.1d">1</annotation></semantics></math>, and Top-<math alttext="2" class="ltx_Math" display="inline" id="S4.SS4.p1.2.m2.1"><semantics id="S4.SS4.p1.2.m2.1a"><mn id="S4.SS4.p1.2.m2.1.1" xref="S4.SS4.p1.2.m2.1.1.cmml">2</mn><annotation-xml encoding="MathML-Content" id="S4.SS4.p1.2.m2.1b"><cn id="S4.SS4.p1.2.m2.1.1.cmml" type="integer" xref="S4.SS4.p1.2.m2.1.1">2</cn></annotation-xml><annotation encoding="application/x-tex" id="S4.SS4.p1.2.m2.1c">2</annotation><annotation encoding="application/x-llamapun" id="S4.SS4.p1.2.m2.1d">2</annotation></semantics></math>. </div> <figure class="ltx_figure" id="S4.F4"><img alt="Refer to caption" class="ltx_graphics ltx_centering ltx_img_landscape" height="531" id="S4.F4.g1" src="x11.png" width="664"/> <figcaption class="ltx_caption ltx_centering">Figure 4: Qualitative results on some of the scenes of each dataset. From left to right: ground truths, baselines, Top-1, Top-2 and Ensemble. Each model has the same parameters and has been trained for the same number of iterations (DVGO).</figcaption> </figure> <div class="ltx_para" id="S4.SS4.p2"> From the selected image crops, one can appreciate that our method ensures superior reconstruction quality compared to the baselines, effectively reproducing sharper details while reducing noise on texture-less spots. This is particularly notable when examining elements such as the window decorations in the Palace scene or the text on the box above the desk in the Room scene. Additionally, surfaces such as the semi-transparent glass in the Wineholder or the Caterpillar scene appear less noisy and more faithful to the original. This improvement can be attributed to the synergy among different resolution models: low-resolution models excel at representing lower frequencies, thereby introducing less noise, while high-resolution models can focus solely on high-frequency components. Additionally, it is important to notice that there is no significant difference between the ensemble and Top-<math alttext="2" class="ltx_Math" display="inline" id="S4.SS4.p2.1.m1.1"><semantics id="S4.SS4.p2.1.m1.1a"><mn id="S4.SS4.p2.1.m1.1.1" xref="S4.SS4.p2.1.m1.1.1.cmml">2</mn><annotation-xml encoding="MathML-Content" id="S4.SS4.p2.1.m1.1b"><cn id="S4.SS4.p2.1.m1.1.1.cmml" type="integer" xref="S4.SS4.p2.1.m1.1.1">2</cn></annotation-xml><annotation encoding="application/x-tex" id="S4.SS4.p2.1.m1.1c">2</annotation><annotation encoding="application/x-llamapun" id="S4.SS4.p2.1.m1.1d">2</annotation></semantics></math>. </div> </section> <section class="ltx_subsection" id="S4.SS5"> <h3 class="ltx_title ltx_title_subsection" style="color:#000000;"> 4.5 Comparison with Naive Methods</h3> <div class="ltx_para" id="S4.SS5.p1"> As shown in Figure <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S1.F1" style="color:#000000;" title="Figure 1 ‣ 1 Introduction ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">1</a>, our method leads to significantly higher quality reconstructions at a greatly reduced computational cost. Decreasing the step size yields the least noticeable improvement while incurring a substantial computational expense, as each sampled point requires an evaluation by the color decoder. Our method achieves high-quality reconstructions with the same step size as the baseline models. Increasing the MLP parameters can boost accuracy, but again, the computational costs become substantial compared to our method. Similarly, increasing resolution results in way inferior PSNR with respect to our method at a comparable computational cost. Our method also allows scaling to higher resolutions, while baseline models tend to introduce noise and artifacts, leading to a decrease in reconstruction quality as the resolution increases. </div> </section> <section class="ltx_subsection" id="S4.SS6"> <h3 class="ltx_title ltx_title_subsection"> 4.6 Gate Visualization and Scene Decomposition</h3> <div class="ltx_para" id="S4.SS6.p1"> In Figure <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S4.F5" title="Figure 5 ‣ 4.6 Gate Visualization and Scene Decomposition ‣ 4 Experiments ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">5</a>, we visualize the gate (probability field in grayscale) and each expert output in the case <math alttext="M=3" class="ltx_Math" display="inline" id="S4.SS6.p1.1.m1.1"><semantics id="S4.SS6.p1.1.m1.1a"><mrow id="S4.SS6.p1.1.m1.1.1" xref="S4.SS6.p1.1.m1.1.1.cmml"><mi id="S4.SS6.p1.1.m1.1.1.2" xref="S4.SS6.p1.1.m1.1.1.2.cmml">M</mi><mo id="S4.SS6.p1.1.m1.1.1.1" xref="S4.SS6.p1.1.m1.1.1.1.cmml">=</mo><mn id="S4.SS6.p1.1.m1.1.1.3" xref="S4.SS6.p1.1.m1.1.1.3.cmml">3</mn></mrow><annotation-xml encoding="MathML-Content" id="S4.SS6.p1.1.m1.1b"><apply id="S4.SS6.p1.1.m1.1.1.cmml" xref="S4.SS6.p1.1.m1.1.1"><eq id="S4.SS6.p1.1.m1.1.1.1.cmml" xref="S4.SS6.p1.1.m1.1.1.1"></eq><ci id="S4.SS6.p1.1.m1.1.1.2.cmml" xref="S4.SS6.p1.1.m1.1.1.2">𝑀</ci><cn id="S4.SS6.p1.1.m1.1.1.3.cmml" type="integer" xref="S4.SS6.p1.1.m1.1.1.3">3</cn></apply></annotation-xml><annotation encoding="application/x-tex" id="S4.SS6.p1.1.m1.1c">M=3</annotation><annotation encoding="application/x-llamapun" id="S4.SS6.p1.1.m1.1d">italic_M = 3</annotation></semantics></math>. On the right side of the figure, one can appreciate per-model renders and experts’ specialization. It is worth noting how higher-resolution experts render high-frequency details. This is particularly evident in the Mic scene. </div> <figure class="ltx_figure" id="S4.F5"><img alt="Refer to caption" class="ltx_graphics ltx_centering ltx_img_landscape" height="465" id="S4.F5.g1" src="x12.png" width="664"/> <figcaption class="ltx_caption ltx_centering">Figure 5: Gate (gray-scale images) and per-model output visualizations with 3 experts and resolution-based routing (DVGO). Images are ordered by increasing resolutions.</figcaption> </figure> </section> <section class="ltx_subsection" id="S4.SS7"> <h3 class="ltx_title ltx_title_subsection"> 4.7 Ablation</h3> <figure class="ltx_figure" id="S4.F6"> <div class="ltx_flex_figure"> <div class="ltx_flex_cell ltx_flex_size_2"> <figure class="ltx_figure ltx_figure_panel ltx_minipage ltx_align_center ltx_align_bottom" id="S4.F6.6" style="width:173.4pt;"> <div class="ltx_flex_figure"> <div class="ltx_flex_cell ltx_flex_size_1"> <div class="ltx_inline-block ltx_figure_panel ltx_transformed_outer" id="S4.F6.6.6" style="width:433.6pt;height:206.1pt;vertical-align:-0.0pt;"> <table class="ltx_tabular ltx_guessed_headers ltx_align_middle" id="S4.F6.6.6.6"> <thead class="ltx_thead"> <tr class="ltx_tr" id="S4.F6.3.3.3.3"> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S4.F6.3.3.3.3.4">Res</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S4.F6.3.3.3.3.5">Gate Type</th> 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encoding="application/x-tex" id="S4.F6.4.4.4.4.1.m1.1c">128^{3}</annotation><annotation encoding="application/x-llamapun" id="S4.F6.4.4.4.4.1.m1.1d">128 start_POSTSUPERSCRIPT 3 end_POSTSUPERSCRIPT</annotation></semantics></math></td> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.F6.4.4.4.4.2">Ours</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.F6.4.4.4.4.3">36.80</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.F6.4.4.4.4.4">26</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S4.F6.4.4.4.4.5">476</td> </tr> <tr class="ltx_tr" id="S4.F6.5.5.5.5"> <td class="ltx_td ltx_align_center" id="S4.F6.5.5.5.5.1"><math alttext="256^{3}" class="ltx_Math" display="inline" id="S4.F6.5.5.5.5.1.m1.1"><semantics id="S4.F6.5.5.5.5.1.m1.1a"><msup id="S4.F6.5.5.5.5.1.m1.1.1" xref="S4.F6.5.5.5.5.1.m1.1.1.cmml"><mn id="S4.F6.5.5.5.5.1.m1.1.1.2" xref="S4.F6.5.5.5.5.1.m1.1.1.2.cmml">256</mn><mn id="S4.F6.5.5.5.5.1.m1.1.1.3" xref="S4.F6.5.5.5.5.1.m1.1.1.3.cmml">3</mn></msup><annotation-xml encoding="MathML-Content" id="S4.F6.5.5.5.5.1.m1.1b"><apply id="S4.F6.5.5.5.5.1.m1.1.1.cmml" xref="S4.F6.5.5.5.5.1.m1.1.1"><csymbol cd="ambiguous" id="S4.F6.5.5.5.5.1.m1.1.1.1.cmml" xref="S4.F6.5.5.5.5.1.m1.1.1">superscript</csymbol><cn id="S4.F6.5.5.5.5.1.m1.1.1.2.cmml" type="integer" xref="S4.F6.5.5.5.5.1.m1.1.1.2">256</cn><cn id="S4.F6.5.5.5.5.1.m1.1.1.3.cmml" type="integer" xref="S4.F6.5.5.5.5.1.m1.1.1.3">3</cn></apply></annotation-xml><annotation encoding="application/x-tex" id="S4.F6.5.5.5.5.1.m1.1c">256^{3}</annotation><annotation encoding="application/x-llamapun" id="S4.F6.5.5.5.5.1.m1.1d">256 start_POSTSUPERSCRIPT 3 end_POSTSUPERSCRIPT</annotation></semantics></math></td> <td class="ltx_td ltx_align_center" id="S4.F6.5.5.5.5.2">Ours</td> <td class="ltx_td ltx_align_center" id="S4.F6.5.5.5.5.3">36.77</td> <td class="ltx_td ltx_align_center" id="S4.F6.5.5.5.5.4">33</td> <td class="ltx_td ltx_align_center" id="S4.F6.5.5.5.5.5">601</td> </tr> <tr class="ltx_tr" id="S4.F6.6.6.6.6"> <td class="ltx_td ltx_align_center" id="S4.F6.6.6.6.6.1"><math alttext="300^{3}" class="ltx_Math" display="inline" id="S4.F6.6.6.6.6.1.m1.1"><semantics id="S4.F6.6.6.6.6.1.m1.1a"><msup id="S4.F6.6.6.6.6.1.m1.1.1" xref="S4.F6.6.6.6.6.1.m1.1.1.cmml"><mn id="S4.F6.6.6.6.6.1.m1.1.1.2" xref="S4.F6.6.6.6.6.1.m1.1.1.2.cmml">300</mn><mn id="S4.F6.6.6.6.6.1.m1.1.1.3" xref="S4.F6.6.6.6.6.1.m1.1.1.3.cmml">3</mn></msup><annotation-xml encoding="MathML-Content" id="S4.F6.6.6.6.6.1.m1.1b"><apply id="S4.F6.6.6.6.6.1.m1.1.1.cmml" xref="S4.F6.6.6.6.6.1.m1.1.1"><csymbol cd="ambiguous" id="S4.F6.6.6.6.6.1.m1.1.1.1.cmml" xref="S4.F6.6.6.6.6.1.m1.1.1">superscript</csymbol><cn id="S4.F6.6.6.6.6.1.m1.1.1.2.cmml" type="integer" xref="S4.F6.6.6.6.6.1.m1.1.1.2">300</cn><cn id="S4.F6.6.6.6.6.1.m1.1.1.3.cmml" type="integer" xref="S4.F6.6.6.6.6.1.m1.1.1.3">3</cn></apply></annotation-xml><annotation encoding="application/x-tex" id="S4.F6.6.6.6.6.1.m1.1c">300^{3}</annotation><annotation encoding="application/x-llamapun" id="S4.F6.6.6.6.6.1.m1.1d">300 start_POSTSUPERSCRIPT 3 end_POSTSUPERSCRIPT</annotation></semantics></math></td> <td class="ltx_td ltx_align_center" id="S4.F6.6.6.6.6.2">Ours</td> <td class="ltx_td ltx_align_center" id="S4.F6.6.6.6.6.3">36.79</td> <td class="ltx_td ltx_align_center" id="S4.F6.6.6.6.6.4">42</td> <td class="ltx_td ltx_align_center" id="S4.F6.6.6.6.6.5">677</td> </tr> <tr class="ltx_tr" id="S4.F6.6.6.6.7.1"> <td class="ltx_td ltx_align_center" id="S4.F6.6.6.6.7.1.1">-</td> <td class="ltx_td ltx_align_center" id="S4.F6.6.6.6.7.1.2">Linear</td> <td class="ltx_td ltx_align_center" id="S4.F6.6.6.6.7.1.3">36.25</td> <td class="ltx_td ltx_align_center" id="S4.F6.6.6.6.7.1.4">24</td> <td class="ltx_td ltx_align_center" id="S4.F6.6.6.6.7.1.5">444</td> </tr> <tr class="ltx_tr" id="S4.F6.6.6.6.8.2"> <td class="ltx_td ltx_align_center ltx_border_b" id="S4.F6.6.6.6.8.2.1">-</td> <td class="ltx_td ltx_align_center ltx_border_b" id="S4.F6.6.6.6.8.2.2">Switch-NeRF</td> <td class="ltx_td ltx_align_center ltx_border_b" id="S4.F6.6.6.6.8.2.3">36.44</td> <td class="ltx_td ltx_align_center ltx_border_b" id="S4.F6.6.6.6.8.2.4">25</td> <td class="ltx_td ltx_align_center ltx_border_b" id="S4.F6.6.6.6.8.2.5">1095</td> </tr> </tbody> </table> </div> </div> <div class="ltx_flex_break"></div> <div class="ltx_flex_cell ltx_flex_size_1"> <figure class="ltx_table ltx_figure_panel ltx_align_center" id="S4.T2"> <figcaption class="ltx_caption">Table 2: Comparison of different gate resolutions and formulations on Lego scene and DVGO.</figcaption> </figure> </div> </div> </figure> </div> <div class="ltx_flex_cell ltx_flex_size_2"> <figure class="ltx_figure ltx_figure_panel ltx_minipage ltx_align_center ltx_align_bottom" id="S4.F6.7" style="width:238.5pt;"> <div class="ltx_inline-block ltx_transformed_outer" id="S4.F6.7.1" style="width:433.6pt;height:241.4pt;vertical-align:-0.5pt;"><img alt="Refer to caption" class="ltx_graphics ltx_img_landscape" height="1000" id="S4.F6.7.1.g1" src="x13.png" width="1800"/> </div> <figcaption class="ltx_caption ltx_centering">Figure 6: Comparison of Gating Functions (Top-1 to Top-5) on Synthetic-NeRF with DVGO.</figcaption> </figure> </div> </div> </figure> <div class="ltx_para" id="S4.SS7.p1"> Here we investigate how different design choices of our model affect the performance and rendering quality. These choices include the gate resolution, different gate formulations, and the number of experts in the Top-<math alttext="k" class="ltx_Math" display="inline" id="S4.SS7.p1.1.m1.1"><semantics id="S4.SS7.p1.1.m1.1a"><mi id="S4.SS7.p1.1.m1.1.1" xref="S4.SS7.p1.1.m1.1.1.cmml">k</mi><annotation-xml encoding="MathML-Content" id="S4.SS7.p1.1.m1.1b"><ci id="S4.SS7.p1.1.m1.1.1.cmml" xref="S4.SS7.p1.1.m1.1.1">𝑘</ci></annotation-xml><annotation encoding="application/x-tex" id="S4.SS7.p1.1.m1.1c">k</annotation><annotation encoding="application/x-llamapun" id="S4.SS7.p1.1.m1.1d">italic_k</annotation></semantics></math>. </div> <div class="ltx_para" id="S4.SS7.p2"> Here we investigate how different design choices of our model affect the performance and rendering quality. These choices include the gate resolution, different gate formulations, and the number of experts in the Top-<math alttext="k" class="ltx_Math" display="inline" id="S4.SS7.p2.1.m1.1"><semantics id="S4.SS7.p2.1.m1.1a"><mi id="S4.SS7.p2.1.m1.1.1" xref="S4.SS7.p2.1.m1.1.1.cmml">k</mi><annotation-xml encoding="MathML-Content" id="S4.SS7.p2.1.m1.1b"><ci id="S4.SS7.p2.1.m1.1.1.cmml" xref="S4.SS7.p2.1.m1.1.1">𝑘</ci></annotation-xml><annotation encoding="application/x-tex" id="S4.SS7.p2.1.m1.1c">k</annotation><annotation encoding="application/x-llamapun" id="S4.SS7.p2.1.m1.1d">italic_k</annotation></semantics></math>. </div> <section class="ltx_subsubsection" id="S4.SS7.SSS1"> <h4 class="ltx_title ltx_title_subsubsection"> 4.7.1 Gate Resolution and Gate Formulation.</h4> <div class="ltx_para" id="S4.SS7.SSS1.p1"> We show in Table <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S4.T2" title="Table 2 ‣ Figure 6 ‣ 4.7 Ablation ‣ 4 Experiments ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">2</a> that a low-resolution gate is sufficient to achieve high-quality rendering. Interestingly, as the gate resolution increases, there is a slight decrease in rendering quality during testing, coupled with an increase in required FLOPs per image rendering and number of parameters. We also compare various gating strategies, including linear gating, the configuration proposed by Switch-NeRF, and our gate formulation. Through experimentation, it becomes evident that our approach outperforms others in terms of both render quality and performance, achieving performances comparable to a linear gating function. </div> </section> <section class="ltx_subsubsection" id="S4.SS7.SSS2"> <h4 class="ltx_title ltx_title_subsubsection"> 4.7.2 Why Top-2?</h4> <div class="ltx_para" id="S4.SS7.SSS2.p1"> Here we investigate the performance and rendering quality trends with varying values of <math alttext="k" class="ltx_Math" display="inline" id="S4.SS7.SSS2.p1.1.m1.1"><semantics id="S4.SS7.SSS2.p1.1.m1.1a"><mi id="S4.SS7.SSS2.p1.1.m1.1.1" xref="S4.SS7.SSS2.p1.1.m1.1.1.cmml">k</mi><annotation-xml encoding="MathML-Content" id="S4.SS7.SSS2.p1.1.m1.1b"><ci id="S4.SS7.SSS2.p1.1.m1.1.1.cmml" xref="S4.SS7.SSS2.p1.1.m1.1.1">𝑘</ci></annotation-xml><annotation encoding="application/x-tex" id="S4.SS7.SSS2.p1.1.m1.1c">k</annotation><annotation encoding="application/x-llamapun" id="S4.SS7.SSS2.p1.1.m1.1d">italic_k</annotation></semantics></math>. In Figure <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S4.F6" title="Figure 6 ‣ 4.7 Ablation ‣ 4 Experiments ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">6</a>, we can see that while <math alttext="k=1" class="ltx_Math" display="inline" id="S4.SS7.SSS2.p1.2.m2.1"><semantics id="S4.SS7.SSS2.p1.2.m2.1a"><mrow id="S4.SS7.SSS2.p1.2.m2.1.1" xref="S4.SS7.SSS2.p1.2.m2.1.1.cmml"><mi id="S4.SS7.SSS2.p1.2.m2.1.1.2" xref="S4.SS7.SSS2.p1.2.m2.1.1.2.cmml">k</mi><mo id="S4.SS7.SSS2.p1.2.m2.1.1.1" xref="S4.SS7.SSS2.p1.2.m2.1.1.1.cmml">=</mo><mn id="S4.SS7.SSS2.p1.2.m2.1.1.3" xref="S4.SS7.SSS2.p1.2.m2.1.1.3.cmml">1</mn></mrow><annotation-xml encoding="MathML-Content" id="S4.SS7.SSS2.p1.2.m2.1b"><apply id="S4.SS7.SSS2.p1.2.m2.1.1.cmml" xref="S4.SS7.SSS2.p1.2.m2.1.1"><eq id="S4.SS7.SSS2.p1.2.m2.1.1.1.cmml" xref="S4.SS7.SSS2.p1.2.m2.1.1.1"></eq><ci id="S4.SS7.SSS2.p1.2.m2.1.1.2.cmml" xref="S4.SS7.SSS2.p1.2.m2.1.1.2">𝑘</ci><cn id="S4.SS7.SSS2.p1.2.m2.1.1.3.cmml" type="integer" xref="S4.SS7.SSS2.p1.2.m2.1.1.3">1</cn></apply></annotation-xml><annotation encoding="application/x-tex" id="S4.SS7.SSS2.p1.2.m2.1c">k=1</annotation><annotation encoding="application/x-llamapun" id="S4.SS7.SSS2.p1.2.m2.1d">italic_k = 1</annotation></semantics></math> can lead to a significant increase in quality with comparable performance to baseline models, the Top-2 further enhances quality at the expense of increased (but still acceptable) computation. The Top-3, Top-4, and Top-5 provide marginal quality improvements at a significantly higher computational cost. Hence, we consider the Top-2 the optimal balance between performance and quality. </div> </section> </section> </section> <section class="ltx_section" id="S5"> <h2 class="ltx_title ltx_title_section"> 5 Limitations</h2> <div class="ltx_para" id="S5.p1"> Our study present some limitations. First of all, a pre-training phase, on which each model is trained independently is required for achieving good results. Training end-to-end, without a pre-training phase, can lead to reconstruction quality that is noticeably inferior to baselines. Pre-training models at different resolutions allows for diversified architectures, making it easier for the gate to learn the decomposition. The training is also strongly dependent on the auxiliary loss. Different values of <math alttext="\lambda" class="ltx_Math" display="inline" id="S5.p1.1.1.m1.1"><semantics id="S5.p1.1.1.m1.1a"><mi id="S5.p1.1.1.m1.1.1" mathcolor="#000000" xref="S5.p1.1.1.m1.1.1.cmml">λ</mi><annotation-xml encoding="MathML-Content" id="S5.p1.1.1.m1.1b"><ci id="S5.p1.1.1.m1.1.1.cmml" xref="S5.p1.1.1.m1.1.1">𝜆</ci></annotation-xml><annotation encoding="application/x-tex" id="S5.p1.1.1.m1.1c">\lambda</annotation><annotation encoding="application/x-llamapun" id="S5.p1.1.1.m1.1d">italic_λ</annotation></semantics></math> can significantly influence performances and load balancing. We conducted a sweep to identify a value that works well across many scenarios, but it may not be suitable for different datasets. Another limitation is the overhead introduced by the MoE. Each input token is first interpolated with the gate’s grid, decoded into probabilities and routed to the chosen expert. These operations can significantly slow-down the rendering process, leading to higher training and inference times. Although considerable effort was devoted to developing the most efficient gate possible, our MoE is still slower than the respective baselines. </div> </section> <section class="ltx_section" id="S6"> <h2 class="ltx_title ltx_title_section"> 6 Conclusions</h2> <div class="ltx_para" id="S6.p1"> In this paper, we introduced a model-agnostic framework for enhancing the rendering of Fast-NeRF models. Our formulation of the Gate reduces computational costs in both training and inference phases while ensuring better quality compared to a traditional gate. Additionally, the introduction of an auxiliary loss with res penalty allows for increased utilization of low-resolution models, reducing the number of active parameters and promoting sparsity in higher-resolution models. Our results demonstrate how this approach can significantly improve reconstruction quality while considering performance metrics. Specifically, we show that a Top-2 strategy strikes a good balance between performance and quality. </div> </section> <section class="ltx_section" id="Sx1"> <h2 class="ltx_title ltx_title_section">Acknowledgements</h2> <div class="ltx_para" id="Sx1.p1"> This work was partially funded by Hi!PARIS Center on Data Analytics and Artificial Intelligence. </div> <div class="ltx_pagination ltx_role_newpage"></div> </section> <section class="ltx_section" id="S7"> <h2 class="ltx_title ltx_title_section"> 7 Additional Details</h2> <div class="ltx_para" id="S7.p1"> Our MoE is reducible to a Sparsely-Gated Mixture of Experts with full capacity. Since the number of points sampled is reasonable, we did not find necessary to impose a limit to the capacity factor of each model. We also introduce different-resolution experts in the MoE, promoting the routing of tokens towards lower-resolution experts. Regarding DVGO and TensoRF, we utilized models at various grid resolutions, while keeping all other hyperparameters consistent with the original implementations. The selected resolutions are <math alttext="160^{3},200^{3},256^{3},320^{3}," class="ltx_Math" display="inline" id="S7.p1.1.m1.1"><semantics id="S7.p1.1.m1.1a"><mrow id="S7.p1.1.m1.1.1.1"><mrow id="S7.p1.1.m1.1.1.1.1.4" xref="S7.p1.1.m1.1.1.1.1.5.cmml"><msup id="S7.p1.1.m1.1.1.1.1.1.1" xref="S7.p1.1.m1.1.1.1.1.1.1.cmml"><mn id="S7.p1.1.m1.1.1.1.1.1.1.2" xref="S7.p1.1.m1.1.1.1.1.1.1.2.cmml">160</mn><mn id="S7.p1.1.m1.1.1.1.1.1.1.3" xref="S7.p1.1.m1.1.1.1.1.1.1.3.cmml">3</mn></msup><mo id="S7.p1.1.m1.1.1.1.1.4.5" xref="S7.p1.1.m1.1.1.1.1.5.cmml">,</mo><msup id="S7.p1.1.m1.1.1.1.1.2.2" xref="S7.p1.1.m1.1.1.1.1.2.2.cmml"><mn id="S7.p1.1.m1.1.1.1.1.2.2.2" xref="S7.p1.1.m1.1.1.1.1.2.2.2.cmml">200</mn><mn id="S7.p1.1.m1.1.1.1.1.2.2.3" xref="S7.p1.1.m1.1.1.1.1.2.2.3.cmml">3</mn></msup><mo id="S7.p1.1.m1.1.1.1.1.4.6" xref="S7.p1.1.m1.1.1.1.1.5.cmml">,</mo><msup id="S7.p1.1.m1.1.1.1.1.3.3" xref="S7.p1.1.m1.1.1.1.1.3.3.cmml"><mn id="S7.p1.1.m1.1.1.1.1.3.3.2" xref="S7.p1.1.m1.1.1.1.1.3.3.2.cmml">256</mn><mn id="S7.p1.1.m1.1.1.1.1.3.3.3" xref="S7.p1.1.m1.1.1.1.1.3.3.3.cmml">3</mn></msup><mo id="S7.p1.1.m1.1.1.1.1.4.7" xref="S7.p1.1.m1.1.1.1.1.5.cmml">,</mo><msup id="S7.p1.1.m1.1.1.1.1.4.4" xref="S7.p1.1.m1.1.1.1.1.4.4.cmml"><mn id="S7.p1.1.m1.1.1.1.1.4.4.2" xref="S7.p1.1.m1.1.1.1.1.4.4.2.cmml">320</mn><mn id="S7.p1.1.m1.1.1.1.1.4.4.3" xref="S7.p1.1.m1.1.1.1.1.4.4.3.cmml">3</mn></msup></mrow><mo id="S7.p1.1.m1.1.1.1.2">,</mo></mrow><annotation-xml encoding="MathML-Content" id="S7.p1.1.m1.1b"><list id="S7.p1.1.m1.1.1.1.1.5.cmml" xref="S7.p1.1.m1.1.1.1.1.4"><apply id="S7.p1.1.m1.1.1.1.1.1.1.cmml" xref="S7.p1.1.m1.1.1.1.1.1.1"><csymbol cd="ambiguous" id="S7.p1.1.m1.1.1.1.1.1.1.1.cmml" xref="S7.p1.1.m1.1.1.1.1.1.1">superscript</csymbol><cn id="S7.p1.1.m1.1.1.1.1.1.1.2.cmml" type="integer" xref="S7.p1.1.m1.1.1.1.1.1.1.2">160</cn><cn id="S7.p1.1.m1.1.1.1.1.1.1.3.cmml" type="integer" xref="S7.p1.1.m1.1.1.1.1.1.1.3">3</cn></apply><apply id="S7.p1.1.m1.1.1.1.1.2.2.cmml" xref="S7.p1.1.m1.1.1.1.1.2.2"><csymbol cd="ambiguous" id="S7.p1.1.m1.1.1.1.1.2.2.1.cmml" xref="S7.p1.1.m1.1.1.1.1.2.2">superscript</csymbol><cn id="S7.p1.1.m1.1.1.1.1.2.2.2.cmml" type="integer" xref="S7.p1.1.m1.1.1.1.1.2.2.2">200</cn><cn id="S7.p1.1.m1.1.1.1.1.2.2.3.cmml" type="integer" xref="S7.p1.1.m1.1.1.1.1.2.2.3">3</cn></apply><apply id="S7.p1.1.m1.1.1.1.1.3.3.cmml" xref="S7.p1.1.m1.1.1.1.1.3.3"><csymbol cd="ambiguous" id="S7.p1.1.m1.1.1.1.1.3.3.1.cmml" xref="S7.p1.1.m1.1.1.1.1.3.3">superscript</csymbol><cn id="S7.p1.1.m1.1.1.1.1.3.3.2.cmml" type="integer" xref="S7.p1.1.m1.1.1.1.1.3.3.2">256</cn><cn id="S7.p1.1.m1.1.1.1.1.3.3.3.cmml" type="integer" xref="S7.p1.1.m1.1.1.1.1.3.3.3">3</cn></apply><apply id="S7.p1.1.m1.1.1.1.1.4.4.cmml" xref="S7.p1.1.m1.1.1.1.1.4.4"><csymbol cd="ambiguous" id="S7.p1.1.m1.1.1.1.1.4.4.1.cmml" xref="S7.p1.1.m1.1.1.1.1.4.4">superscript</csymbol><cn id="S7.p1.1.m1.1.1.1.1.4.4.2.cmml" type="integer" xref="S7.p1.1.m1.1.1.1.1.4.4.2">320</cn><cn id="S7.p1.1.m1.1.1.1.1.4.4.3.cmml" type="integer" xref="S7.p1.1.m1.1.1.1.1.4.4.3">3</cn></apply></list></annotation-xml><annotation encoding="application/x-tex" id="S7.p1.1.m1.1c">160^{3},200^{3},256^{3},320^{3},</annotation><annotation encoding="application/x-llamapun" id="S7.p1.1.m1.1d">160 start_POSTSUPERSCRIPT 3 end_POSTSUPERSCRIPT , 200 start_POSTSUPERSCRIPT 3 end_POSTSUPERSCRIPT , 256 start_POSTSUPERSCRIPT 3 end_POSTSUPERSCRIPT , 320 start_POSTSUPERSCRIPT 3 end_POSTSUPERSCRIPT ,</annotation></semantics></math> and <math alttext="384^{3}" class="ltx_Math" display="inline" id="S7.p1.2.m2.1"><semantics id="S7.p1.2.m2.1a"><msup id="S7.p1.2.m2.1.1" xref="S7.p1.2.m2.1.1.cmml"><mn id="S7.p1.2.m2.1.1.2" xref="S7.p1.2.m2.1.1.2.cmml">384</mn><mn id="S7.p1.2.m2.1.1.3" xref="S7.p1.2.m2.1.1.3.cmml">3</mn></msup><annotation-xml encoding="MathML-Content" id="S7.p1.2.m2.1b"><apply id="S7.p1.2.m2.1.1.cmml" xref="S7.p1.2.m2.1.1"><csymbol cd="ambiguous" id="S7.p1.2.m2.1.1.1.cmml" xref="S7.p1.2.m2.1.1">superscript</csymbol><cn id="S7.p1.2.m2.1.1.2.cmml" type="integer" xref="S7.p1.2.m2.1.1.2">384</cn><cn id="S7.p1.2.m2.1.1.3.cmml" type="integer" xref="S7.p1.2.m2.1.1.3">3</cn></apply></annotation-xml><annotation encoding="application/x-tex" id="S7.p1.2.m2.1c">384^{3}</annotation><annotation encoding="application/x-llamapun" id="S7.p1.2.m2.1d">384 start_POSTSUPERSCRIPT 3 end_POSTSUPERSCRIPT</annotation></semantics></math>. For Instant-NGP, we trained models while varying the <math alttext="L" class="ltx_Math" display="inline" id="S7.p1.3.m3.1"><semantics id="S7.p1.3.m3.1a"><mi id="S7.p1.3.m3.1.1" xref="S7.p1.3.m3.1.1.cmml">L</mi><annotation-xml encoding="MathML-Content" id="S7.p1.3.m3.1b"><ci id="S7.p1.3.m3.1.1.cmml" xref="S7.p1.3.m3.1.1">𝐿</ci></annotation-xml><annotation encoding="application/x-tex" id="S7.p1.3.m3.1c">L</annotation><annotation encoding="application/x-llamapun" id="S7.p1.3.m3.1d">italic_L</annotation></semantics></math> parameter across the following values: <math alttext="6,8,10,16," class="ltx_Math" display="inline" id="S7.p1.4.m4.5"><semantics id="S7.p1.4.m4.5a"><mrow id="S7.p1.4.m4.5.5.1"><mrow id="S7.p1.4.m4.5.5.1.1.2" xref="S7.p1.4.m4.5.5.1.1.1.cmml"><mn id="S7.p1.4.m4.1.1" xref="S7.p1.4.m4.1.1.cmml">6</mn><mo id="S7.p1.4.m4.5.5.1.1.2.1" xref="S7.p1.4.m4.5.5.1.1.1.cmml">,</mo><mn id="S7.p1.4.m4.2.2" xref="S7.p1.4.m4.2.2.cmml">8</mn><mo id="S7.p1.4.m4.5.5.1.1.2.2" xref="S7.p1.4.m4.5.5.1.1.1.cmml">,</mo><mn id="S7.p1.4.m4.3.3" xref="S7.p1.4.m4.3.3.cmml">10</mn><mo id="S7.p1.4.m4.5.5.1.1.2.3" xref="S7.p1.4.m4.5.5.1.1.1.cmml">,</mo><mn id="S7.p1.4.m4.4.4" xref="S7.p1.4.m4.4.4.cmml">16</mn></mrow><mo id="S7.p1.4.m4.5.5.1.2">,</mo></mrow><annotation-xml encoding="MathML-Content" id="S7.p1.4.m4.5b"><list id="S7.p1.4.m4.5.5.1.1.1.cmml" xref="S7.p1.4.m4.5.5.1.1.2"><cn id="S7.p1.4.m4.1.1.cmml" type="integer" xref="S7.p1.4.m4.1.1">6</cn><cn id="S7.p1.4.m4.2.2.cmml" type="integer" xref="S7.p1.4.m4.2.2">8</cn><cn id="S7.p1.4.m4.3.3.cmml" type="integer" xref="S7.p1.4.m4.3.3">10</cn><cn id="S7.p1.4.m4.4.4.cmml" type="integer" xref="S7.p1.4.m4.4.4">16</cn></list></annotation-xml><annotation encoding="application/x-tex" id="S7.p1.4.m4.5c">6,8,10,16,</annotation><annotation encoding="application/x-llamapun" id="S7.p1.4.m4.5d">6 , 8 , 10 , 16 ,</annotation></semantics></math> and <math alttext="24" class="ltx_Math" display="inline" id="S7.p1.5.m5.1"><semantics id="S7.p1.5.m5.1a"><mn id="S7.p1.5.m5.1.1" xref="S7.p1.5.m5.1.1.cmml">24</mn><annotation-xml encoding="MathML-Content" id="S7.p1.5.m5.1b"><cn id="S7.p1.5.m5.1.1.cmml" type="integer" xref="S7.p1.5.m5.1.1">24</cn></annotation-xml><annotation encoding="application/x-tex" id="S7.p1.5.m5.1c">24</annotation><annotation encoding="application/x-llamapun" id="S7.p1.5.m5.1d">24</annotation></semantics></math>. Experts within the MoE are arranged in increasing resolution order. </div> <section class="ltx_subsection" id="S7.SS1"> <h3 class="ltx_title ltx_title_subsection"> 7.1 <math alttext="\|w\|_{0}" class="ltx_Math" display="inline" id="S7.SS1.1.m1.1"><semantics id="S7.SS1.1.m1.1b"><msub id="S7.SS1.1.m1.1.2" xref="S7.SS1.1.m1.1.2.cmml"><mrow id="S7.SS1.1.m1.1.2.2.2" xref="S7.SS1.1.m1.1.2.2.1.cmml"><mo id="S7.SS1.1.m1.1.2.2.2.1" stretchy="false" xref="S7.SS1.1.m1.1.2.2.1.1.cmml">‖</mo><mi id="S7.SS1.1.m1.1.1" xref="S7.SS1.1.m1.1.1.cmml">w</mi><mo id="S7.SS1.1.m1.1.2.2.2.2" stretchy="false" xref="S7.SS1.1.m1.1.2.2.1.1.cmml">‖</mo></mrow><mn id="S7.SS1.1.m1.1.2.3" xref="S7.SS1.1.m1.1.2.3.cmml">0</mn></msub><annotation-xml encoding="MathML-Content" id="S7.SS1.1.m1.1c"><apply id="S7.SS1.1.m1.1.2.cmml" xref="S7.SS1.1.m1.1.2"><csymbol cd="ambiguous" id="S7.SS1.1.m1.1.2.1.cmml" xref="S7.SS1.1.m1.1.2">subscript</csymbol><apply id="S7.SS1.1.m1.1.2.2.1.cmml" xref="S7.SS1.1.m1.1.2.2.2"><csymbol cd="latexml" id="S7.SS1.1.m1.1.2.2.1.1.cmml" xref="S7.SS1.1.m1.1.2.2.2.1">norm</csymbol><ci id="S7.SS1.1.m1.1.1.cmml" xref="S7.SS1.1.m1.1.1">𝑤</ci></apply><cn id="S7.SS1.1.m1.1.2.3.cmml" type="integer" xref="S7.SS1.1.m1.1.2.3">0</cn></apply></annotation-xml><annotation encoding="application/x-tex" id="S7.SS1.1.m1.1d">\|w\|_{0}</annotation><annotation encoding="application/x-llamapun" id="S7.SS1.1.m1.1e">∥ italic_w ∥ start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT</annotation></semantics></math> Computation</h3> <div class="ltx_para" id="S7.SS1.p1"> We define <math alttext="\|w\|_{0}" class="ltx_Math" display="inline" id="S7.SS1.p1.1.m1.1"><semantics id="S7.SS1.p1.1.m1.1a"><msub id="S7.SS1.p1.1.m1.1.2" xref="S7.SS1.p1.1.m1.1.2.cmml"><mrow id="S7.SS1.p1.1.m1.1.2.2.2" xref="S7.SS1.p1.1.m1.1.2.2.1.cmml"><mo id="S7.SS1.p1.1.m1.1.2.2.2.1" stretchy="false" xref="S7.SS1.p1.1.m1.1.2.2.1.1.cmml">‖</mo><mi id="S7.SS1.p1.1.m1.1.1" xref="S7.SS1.p1.1.m1.1.1.cmml">w</mi><mo id="S7.SS1.p1.1.m1.1.2.2.2.2" stretchy="false" xref="S7.SS1.p1.1.m1.1.2.2.1.1.cmml">‖</mo></mrow><mn id="S7.SS1.p1.1.m1.1.2.3" xref="S7.SS1.p1.1.m1.1.2.3.cmml">0</mn></msub><annotation-xml encoding="MathML-Content" id="S7.SS1.p1.1.m1.1b"><apply id="S7.SS1.p1.1.m1.1.2.cmml" xref="S7.SS1.p1.1.m1.1.2"><csymbol cd="ambiguous" id="S7.SS1.p1.1.m1.1.2.1.cmml" xref="S7.SS1.p1.1.m1.1.2">subscript</csymbol><apply id="S7.SS1.p1.1.m1.1.2.2.1.cmml" xref="S7.SS1.p1.1.m1.1.2.2.2"><csymbol cd="latexml" id="S7.SS1.p1.1.m1.1.2.2.1.1.cmml" xref="S7.SS1.p1.1.m1.1.2.2.2.1">norm</csymbol><ci id="S7.SS1.p1.1.m1.1.1.cmml" xref="S7.SS1.p1.1.m1.1.1">𝑤</ci></apply><cn id="S7.SS1.p1.1.m1.1.2.3.cmml" type="integer" xref="S7.SS1.p1.1.m1.1.2.3">0</cn></apply></annotation-xml><annotation encoding="application/x-tex" id="S7.SS1.p1.1.m1.1c">\|w\|_{0}</annotation><annotation encoding="application/x-llamapun" id="S7.SS1.p1.1.m1.1d">∥ italic_w ∥ start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT</annotation></semantics></math> as the count of non-null parameters in the Mixture of Experts. As our MoE operates as a Sparsely-Gated MoE, only a subset of the Neural Radiance Fields models are effectively employed during rendering. Moreover, our resolution-based routing mechanism has the potential to significantly reduce this parameter. </div> <div class="ltx_para" id="S7.SS1.p2"> To compute the parameters, we freeze the MoE and render all the images in the test set. Subsequently, we calculate the loss in the usual manner and compute gradients with respect to the MoE’s parameters. <math alttext="||w||_{0}" class="ltx_Math" display="inline" id="S7.SS1.p2.1.m1.1"><semantics id="S7.SS1.p2.1.m1.1a"><msub id="S7.SS1.p2.1.m1.1.2" xref="S7.SS1.p2.1.m1.1.2.cmml"><mrow id="S7.SS1.p2.1.m1.1.2.2.2" xref="S7.SS1.p2.1.m1.1.2.2.1.cmml"><mo id="S7.SS1.p2.1.m1.1.2.2.2.1" stretchy="false" xref="S7.SS1.p2.1.m1.1.2.2.1.1.cmml">‖</mo><mi id="S7.SS1.p2.1.m1.1.1" xref="S7.SS1.p2.1.m1.1.1.cmml">w</mi><mo id="S7.SS1.p2.1.m1.1.2.2.2.2" stretchy="false" xref="S7.SS1.p2.1.m1.1.2.2.1.1.cmml">‖</mo></mrow><mn id="S7.SS1.p2.1.m1.1.2.3" xref="S7.SS1.p2.1.m1.1.2.3.cmml">0</mn></msub><annotation-xml encoding="MathML-Content" id="S7.SS1.p2.1.m1.1b"><apply id="S7.SS1.p2.1.m1.1.2.cmml" xref="S7.SS1.p2.1.m1.1.2"><csymbol cd="ambiguous" id="S7.SS1.p2.1.m1.1.2.1.cmml" xref="S7.SS1.p2.1.m1.1.2">subscript</csymbol><apply id="S7.SS1.p2.1.m1.1.2.2.1.cmml" 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end_POSTSUBSCRIPT</annotation></semantics></math></td> <td class="ltx_eqn_cell ltx_eqn_center_padright"></td> <td class="ltx_eqn_cell ltx_eqn_eqno ltx_align_middle ltx_align_right" rowspan="1">(14)</td> </tr></tbody> </table> This can be associated with gradient-magnitude pruning. We leave this idea as a future project. </div> </section> <section class="ltx_subsection" id="S7.SS2"> <h3 class="ltx_title ltx_title_subsection"> 7.2 Instant-NGP Implementation</h3> <div class="ltx_para" id="S7.SS2.p1"> The implementation for Instant-NGP closely resembles that proposed in Figure <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S3.F2" title="Figure 2 ‣ 3.1 Overview ‣ 3 Method ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">2</a>, albeit with a slight modification: the gate comprises a tiny Instant-NGP model. This gate model consists of a multi-resolution hash grid with <math alttext="L=6" class="ltx_Math" display="inline" id="S7.SS2.p1.1.m1.1"><semantics id="S7.SS2.p1.1.m1.1a"><mrow id="S7.SS2.p1.1.m1.1.1" xref="S7.SS2.p1.1.m1.1.1.cmml"><mi id="S7.SS2.p1.1.m1.1.1.2" xref="S7.SS2.p1.1.m1.1.1.2.cmml">L</mi><mo id="S7.SS2.p1.1.m1.1.1.1" xref="S7.SS2.p1.1.m1.1.1.1.cmml">=</mo><mn id="S7.SS2.p1.1.m1.1.1.3" xref="S7.SS2.p1.1.m1.1.1.3.cmml">6</mn></mrow><annotation-xml encoding="MathML-Content" id="S7.SS2.p1.1.m1.1b"><apply id="S7.SS2.p1.1.m1.1.1.cmml" xref="S7.SS2.p1.1.m1.1.1"><eq id="S7.SS2.p1.1.m1.1.1.1.cmml" xref="S7.SS2.p1.1.m1.1.1.1"></eq><ci id="S7.SS2.p1.1.m1.1.1.2.cmml" xref="S7.SS2.p1.1.m1.1.1.2">𝐿</ci><cn id="S7.SS2.p1.1.m1.1.1.3.cmml" type="integer" xref="S7.SS2.p1.1.m1.1.1.3">6</cn></apply></annotation-xml><annotation encoding="application/x-tex" id="S7.SS2.p1.1.m1.1c">L=6</annotation><annotation encoding="application/x-llamapun" id="S7.SS2.p1.1.m1.1d">italic_L = 6</annotation></semantics></math>, which computes per-point features. These features are then linearly interpolated with the 8 nearest voxels, similar to DVGO and TensoRF, before being concatenated together. Following this concatenation, they undergo transformation into probabilities using the same methodology as in the main method. Additionally, the MLP remains shallow, comprising 2 layers with 64 neurons each, activated by ReLU functions. </div> </section> <section class="ltx_subsection" id="S7.SS3"> <h3 class="ltx_title ltx_title_subsection"> 7.3 Ensembling NeRFs’ Outputs</h3> <figure class="ltx_figure" id="S7.F7"><img alt="Refer to caption" class="ltx_graphics ltx_centering ltx_img_landscape" height="316" id="S7.F7.g1" src="x14.png" width="415"/> <figcaption class="ltx_caption ltx_centering">Figure 7: Upper bound for <math alttext="\Delta E_{12}" class="ltx_Math" display="inline" id="S7.F7.2.1.m1.1"><semantics id="S7.F7.2.1.m1.1b"><mrow id="S7.F7.2.1.m1.1.1" xref="S7.F7.2.1.m1.1.1.cmml"><mi id="S7.F7.2.1.m1.1.1.2" mathvariant="normal" xref="S7.F7.2.1.m1.1.1.2.cmml">Δ</mi><mo id="S7.F7.2.1.m1.1.1.1" xref="S7.F7.2.1.m1.1.1.1.cmml">⁢</mo><msub id="S7.F7.2.1.m1.1.1.3" xref="S7.F7.2.1.m1.1.1.3.cmml"><mi id="S7.F7.2.1.m1.1.1.3.2" xref="S7.F7.2.1.m1.1.1.3.2.cmml">E</mi><mn id="S7.F7.2.1.m1.1.1.3.3" xref="S7.F7.2.1.m1.1.1.3.3.cmml">12</mn></msub></mrow><annotation-xml encoding="MathML-Content" id="S7.F7.2.1.m1.1c"><apply id="S7.F7.2.1.m1.1.1.cmml" xref="S7.F7.2.1.m1.1.1"><times id="S7.F7.2.1.m1.1.1.1.cmml" xref="S7.F7.2.1.m1.1.1.1"></times><ci id="S7.F7.2.1.m1.1.1.2.cmml" xref="S7.F7.2.1.m1.1.1.2">Δ</ci><apply id="S7.F7.2.1.m1.1.1.3.cmml" xref="S7.F7.2.1.m1.1.1.3"><csymbol cd="ambiguous" id="S7.F7.2.1.m1.1.1.3.1.cmml" xref="S7.F7.2.1.m1.1.1.3">subscript</csymbol><ci id="S7.F7.2.1.m1.1.1.3.2.cmml" xref="S7.F7.2.1.m1.1.1.3.2">𝐸</ci><cn id="S7.F7.2.1.m1.1.1.3.3.cmml" type="integer" xref="S7.F7.2.1.m1.1.1.3.3">12</cn></apply></apply></annotation-xml><annotation encoding="application/x-tex" id="S7.F7.2.1.m1.1d">\Delta E_{12}</annotation><annotation encoding="application/x-llamapun" id="S7.F7.2.1.m1.1e">roman_Δ italic_E start_POSTSUBSCRIPT 12 end_POSTSUBSCRIPT</annotation></semantics></math> such that (<a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S7.E20" title="Equation 20 ‣ 7.3 Ensembling NeRFs’ Outputs ‣ 7 Additional Details ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">20</a>) is satisfied.</figcaption> </figure> <figure class="ltx_figure" id="S7.F8"><img alt="Refer to caption" class="ltx_graphics ltx_centering ltx_img_landscape" height="331" id="S7.F8.g1" src="x15.png" width="415"/> <figcaption class="ltx_caption ltx_centering">Figure 8: Estimated performance gain as a function of <math alttext="\alpha_{1}" class="ltx_Math" display="inline" id="S7.F8.2.1.m1.1"><semantics id="S7.F8.2.1.m1.1b"><msub id="S7.F8.2.1.m1.1.1" xref="S7.F8.2.1.m1.1.1.cmml"><mi id="S7.F8.2.1.m1.1.1.2" xref="S7.F8.2.1.m1.1.1.2.cmml">α</mi><mn id="S7.F8.2.1.m1.1.1.3" xref="S7.F8.2.1.m1.1.1.3.cmml">1</mn></msub><annotation-xml encoding="MathML-Content" id="S7.F8.2.1.m1.1c"><apply id="S7.F8.2.1.m1.1.1.cmml" xref="S7.F8.2.1.m1.1.1"><csymbol cd="ambiguous" id="S7.F8.2.1.m1.1.1.1.cmml" xref="S7.F8.2.1.m1.1.1">subscript</csymbol><ci id="S7.F8.2.1.m1.1.1.2.cmml" xref="S7.F8.2.1.m1.1.1.2">𝛼</ci><cn id="S7.F8.2.1.m1.1.1.3.cmml" type="integer" xref="S7.F8.2.1.m1.1.1.3">1</cn></apply></annotation-xml><annotation encoding="application/x-tex" id="S7.F8.2.1.m1.1d">\alpha_{1}</annotation><annotation encoding="application/x-llamapun" id="S7.F8.2.1.m1.1e">italic_α start_POSTSUBSCRIPT 1 end_POSTSUBSCRIPT</annotation></semantics></math> and of the difference in output between the two NeRFs.</figcaption> </figure> <div class="ltx_para" id="S7.SS3.p1"> To validate our Mixture of Experts, we conducted a comparison with an ensemble of Neural Radiance Fields, where the output is determined by averaging the predictions of each NeRF model. Starting from a set of <math alttext="M" class="ltx_Math" display="inline" id="S7.SS3.p1.1.m1.1"><semantics id="S7.SS3.p1.1.m1.1a"><mi id="S7.SS3.p1.1.m1.1.1" xref="S7.SS3.p1.1.m1.1.1.cmml">M</mi><annotation-xml encoding="MathML-Content" id="S7.SS3.p1.1.m1.1b"><ci id="S7.SS3.p1.1.m1.1.1.cmml" xref="S7.SS3.p1.1.m1.1.1">𝑀</ci></annotation-xml><annotation encoding="application/x-tex" id="S7.SS3.p1.1.m1.1c">M</annotation><annotation encoding="application/x-llamapun" id="S7.SS3.p1.1.m1.1d">italic_M</annotation></semantics></math> pre-trained models, an ensemble is built and is then fine-tuned. Averaging the outputs of NeRFs can notably enhance the quality of reconstruction. Let us assume we have two NeRFs, having as output respectively <math alttext="\boldsymbol{y}_{1}" class="ltx_Math" display="inline" id="S7.SS3.p1.2.m2.1"><semantics id="S7.SS3.p1.2.m2.1a"><msub id="S7.SS3.p1.2.m2.1.1" xref="S7.SS3.p1.2.m2.1.1.cmml"><mi id="S7.SS3.p1.2.m2.1.1.2" xref="S7.SS3.p1.2.m2.1.1.2.cmml">𝒚</mi><mn id="S7.SS3.p1.2.m2.1.1.3" xref="S7.SS3.p1.2.m2.1.1.3.cmml">1</mn></msub><annotation-xml encoding="MathML-Content" id="S7.SS3.p1.2.m2.1b"><apply id="S7.SS3.p1.2.m2.1.1.cmml" xref="S7.SS3.p1.2.m2.1.1"><csymbol cd="ambiguous" id="S7.SS3.p1.2.m2.1.1.1.cmml" xref="S7.SS3.p1.2.m2.1.1">subscript</csymbol><ci id="S7.SS3.p1.2.m2.1.1.2.cmml" xref="S7.SS3.p1.2.m2.1.1.2">𝒚</ci><cn id="S7.SS3.p1.2.m2.1.1.3.cmml" type="integer" xref="S7.SS3.p1.2.m2.1.1.3">1</cn></apply></annotation-xml><annotation encoding="application/x-tex" id="S7.SS3.p1.2.m2.1c">\boldsymbol{y}_{1}</annotation><annotation encoding="application/x-llamapun" id="S7.SS3.p1.2.m2.1d">bold_italic_y start_POSTSUBSCRIPT 1 end_POSTSUBSCRIPT</annotation></semantics></math> and <math alttext="\boldsymbol{y}_{2}" class="ltx_Math" display="inline" id="S7.SS3.p1.3.m3.1"><semantics id="S7.SS3.p1.3.m3.1a"><msub id="S7.SS3.p1.3.m3.1.1" xref="S7.SS3.p1.3.m3.1.1.cmml"><mi id="S7.SS3.p1.3.m3.1.1.2" xref="S7.SS3.p1.3.m3.1.1.2.cmml">𝒚</mi><mn id="S7.SS3.p1.3.m3.1.1.3" xref="S7.SS3.p1.3.m3.1.1.3.cmml">2</mn></msub><annotation-xml encoding="MathML-Content" id="S7.SS3.p1.3.m3.1b"><apply id="S7.SS3.p1.3.m3.1.1.cmml" xref="S7.SS3.p1.3.m3.1.1"><csymbol cd="ambiguous" id="S7.SS3.p1.3.m3.1.1.1.cmml" xref="S7.SS3.p1.3.m3.1.1">subscript</csymbol><ci id="S7.SS3.p1.3.m3.1.1.2.cmml" xref="S7.SS3.p1.3.m3.1.1.2">𝒚</ci><cn id="S7.SS3.p1.3.m3.1.1.3.cmml" type="integer" xref="S7.SS3.p1.3.m3.1.1.3">2</cn></apply></annotation-xml><annotation encoding="application/x-tex" id="S7.SS3.p1.3.m3.1c">\boldsymbol{y}_{2}</annotation><annotation encoding="application/x-llamapun" id="S7.SS3.p1.3.m3.1d">bold_italic_y start_POSTSUBSCRIPT 2 end_POSTSUBSCRIPT</annotation></semantics></math>, while the ground truth is <math alttext="\hat{\boldsymbol{y}}" class="ltx_Math" display="inline" id="S7.SS3.p1.4.m4.1"><semantics id="S7.SS3.p1.4.m4.1a"><mover accent="true" id="S7.SS3.p1.4.m4.1.1" xref="S7.SS3.p1.4.m4.1.1.cmml"><mi id="S7.SS3.p1.4.m4.1.1.2" xref="S7.SS3.p1.4.m4.1.1.2.cmml">𝒚</mi><mo id="S7.SS3.p1.4.m4.1.1.1" xref="S7.SS3.p1.4.m4.1.1.1.cmml">^</mo></mover><annotation-xml encoding="MathML-Content" id="S7.SS3.p1.4.m4.1b"><apply id="S7.SS3.p1.4.m4.1.1.cmml" xref="S7.SS3.p1.4.m4.1.1"><ci id="S7.SS3.p1.4.m4.1.1.1.cmml" xref="S7.SS3.p1.4.m4.1.1.1">^</ci><ci id="S7.SS3.p1.4.m4.1.1.2.cmml" xref="S7.SS3.p1.4.m4.1.1.2">𝒚</ci></apply></annotation-xml><annotation encoding="application/x-tex" id="S7.SS3.p1.4.m4.1c">\hat{\boldsymbol{y}}</annotation><annotation encoding="application/x-llamapun" id="S7.SS3.p1.4.m4.1d">over^ start_ARG bold_italic_y end_ARG</annotation></semantics></math>. We can write an equality of their performance, in terms of mean-squared error: <table class="ltx_equationgroup ltx_eqn_align ltx_eqn_table" id="S12.EGx1"> <tbody id="S7.Ex1"><tr class="ltx_equation ltx_eqn_row ltx_align_baseline"> <td class="ltx_eqn_cell ltx_eqn_center_padleft"></td> <td class="ltx_td ltx_align_right ltx_eqn_cell"><math alttext="\displaystyle E_{1}" class="ltx_Math" display="inline" id="S7.Ex1.m1.1"><semantics id="S7.Ex1.m1.1a"><msub id="S7.Ex1.m1.1.1" xref="S7.Ex1.m1.1.1.cmml"><mi id="S7.Ex1.m1.1.1.2" xref="S7.Ex1.m1.1.1.2.cmml">E</mi><mn id="S7.Ex1.m1.1.1.3" xref="S7.Ex1.m1.1.1.3.cmml">1</mn></msub><annotation-xml encoding="MathML-Content" id="S7.Ex1.m1.1b"><apply id="S7.Ex1.m1.1.1.cmml" xref="S7.Ex1.m1.1.1"><csymbol cd="ambiguous" id="S7.Ex1.m1.1.1.1.cmml" xref="S7.Ex1.m1.1.1">subscript</csymbol><ci id="S7.Ex1.m1.1.1.2.cmml" xref="S7.Ex1.m1.1.1.2">𝐸</ci><cn id="S7.Ex1.m1.1.1.3.cmml" type="integer" xref="S7.Ex1.m1.1.1.3">1</cn></apply></annotation-xml><annotation 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italic_j end_POSTSUBSCRIPT - over^ start_ARG italic_y end_ARG ) start_POSTSUPERSCRIPT 2 end_POSTSUPERSCRIPT</annotation></semantics></math></td> <td class="ltx_td ltx_align_left ltx_eqn_cell"><math alttext="\displaystyle=\Delta E_{12}+\frac{1}{M}\sum_{j}(y_{2j}-\hat{y})^{2}" class="ltx_Math" display="inline" id="S7.E15.m2.1"><semantics id="S7.E15.m2.1a"><mrow id="S7.E15.m2.1.1" xref="S7.E15.m2.1.1.cmml"><mi id="S7.E15.m2.1.1.3" xref="S7.E15.m2.1.1.3.cmml"></mi><mo id="S7.E15.m2.1.1.2" xref="S7.E15.m2.1.1.2.cmml">=</mo><mrow id="S7.E15.m2.1.1.1" xref="S7.E15.m2.1.1.1.cmml"><mrow id="S7.E15.m2.1.1.1.3" xref="S7.E15.m2.1.1.1.3.cmml"><mi id="S7.E15.m2.1.1.1.3.2" mathvariant="normal" xref="S7.E15.m2.1.1.1.3.2.cmml">Δ</mi><mo id="S7.E15.m2.1.1.1.3.1" xref="S7.E15.m2.1.1.1.3.1.cmml">⁢</mo><msub id="S7.E15.m2.1.1.1.3.3" xref="S7.E15.m2.1.1.1.3.3.cmml"><mi id="S7.E15.m2.1.1.1.3.3.2" xref="S7.E15.m2.1.1.1.3.3.2.cmml">E</mi><mn id="S7.E15.m2.1.1.1.3.3.3" xref="S7.E15.m2.1.1.1.3.3.3.cmml">12</mn></msub></mrow><mo id="S7.E15.m2.1.1.1.2" xref="S7.E15.m2.1.1.1.2.cmml">+</mo><mrow id="S7.E15.m2.1.1.1.1" xref="S7.E15.m2.1.1.1.1.cmml"><mstyle displaystyle="true" id="S7.E15.m2.1.1.1.1.3" xref="S7.E15.m2.1.1.1.1.3.cmml"><mfrac id="S7.E15.m2.1.1.1.1.3a" xref="S7.E15.m2.1.1.1.1.3.cmml"><mn id="S7.E15.m2.1.1.1.1.3.2" xref="S7.E15.m2.1.1.1.1.3.2.cmml">1</mn><mi id="S7.E15.m2.1.1.1.1.3.3" xref="S7.E15.m2.1.1.1.1.3.3.cmml">M</mi></mfrac></mstyle><mo id="S7.E15.m2.1.1.1.1.2" xref="S7.E15.m2.1.1.1.1.2.cmml">⁢</mo><mrow id="S7.E15.m2.1.1.1.1.1" xref="S7.E15.m2.1.1.1.1.1.cmml"><mstyle displaystyle="true" id="S7.E15.m2.1.1.1.1.1.2" xref="S7.E15.m2.1.1.1.1.1.2.cmml"><munder id="S7.E15.m2.1.1.1.1.1.2a" xref="S7.E15.m2.1.1.1.1.1.2.cmml"><mo id="S7.E15.m2.1.1.1.1.1.2.2" movablelimits="false" xref="S7.E15.m2.1.1.1.1.1.2.2.cmml">∑</mo><mi id="S7.E15.m2.1.1.1.1.1.2.3" xref="S7.E15.m2.1.1.1.1.1.2.3.cmml">j</mi></munder></mstyle><msup id="S7.E15.m2.1.1.1.1.1.1" 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xref="S7.E15.m2.1.1.1.3.2">Δ</ci><apply id="S7.E15.m2.1.1.1.3.3.cmml" xref="S7.E15.m2.1.1.1.3.3"><csymbol cd="ambiguous" id="S7.E15.m2.1.1.1.3.3.1.cmml" xref="S7.E15.m2.1.1.1.3.3">subscript</csymbol><ci id="S7.E15.m2.1.1.1.3.3.2.cmml" xref="S7.E15.m2.1.1.1.3.3.2">𝐸</ci><cn id="S7.E15.m2.1.1.1.3.3.3.cmml" type="integer" xref="S7.E15.m2.1.1.1.3.3.3">12</cn></apply></apply><apply id="S7.E15.m2.1.1.1.1.cmml" xref="S7.E15.m2.1.1.1.1"><times id="S7.E15.m2.1.1.1.1.2.cmml" xref="S7.E15.m2.1.1.1.1.2"></times><apply id="S7.E15.m2.1.1.1.1.3.cmml" xref="S7.E15.m2.1.1.1.1.3"><divide id="S7.E15.m2.1.1.1.1.3.1.cmml" xref="S7.E15.m2.1.1.1.1.3"></divide><cn id="S7.E15.m2.1.1.1.1.3.2.cmml" type="integer" xref="S7.E15.m2.1.1.1.1.3.2">1</cn><ci id="S7.E15.m2.1.1.1.1.3.3.cmml" xref="S7.E15.m2.1.1.1.1.3.3">𝑀</ci></apply><apply id="S7.E15.m2.1.1.1.1.1.cmml" xref="S7.E15.m2.1.1.1.1.1"><apply id="S7.E15.m2.1.1.1.1.1.2.cmml" xref="S7.E15.m2.1.1.1.1.1.2"><csymbol cd="ambiguous" id="S7.E15.m2.1.1.1.1.1.2.1.cmml" 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xref="S7.E15.m2.1.1.1.1.1.1.1.1.1.2.3.1"></times><cn id="S7.E15.m2.1.1.1.1.1.1.1.1.1.2.3.2.cmml" type="integer" xref="S7.E15.m2.1.1.1.1.1.1.1.1.1.2.3.2">2</cn><ci id="S7.E15.m2.1.1.1.1.1.1.1.1.1.2.3.3.cmml" xref="S7.E15.m2.1.1.1.1.1.1.1.1.1.2.3.3">𝑗</ci></apply></apply><apply id="S7.E15.m2.1.1.1.1.1.1.1.1.1.3.cmml" xref="S7.E15.m2.1.1.1.1.1.1.1.1.1.3"><ci id="S7.E15.m2.1.1.1.1.1.1.1.1.1.3.1.cmml" xref="S7.E15.m2.1.1.1.1.1.1.1.1.1.3.1">^</ci><ci id="S7.E15.m2.1.1.1.1.1.1.1.1.1.3.2.cmml" xref="S7.E15.m2.1.1.1.1.1.1.1.1.1.3.2">𝑦</ci></apply></apply><cn id="S7.E15.m2.1.1.1.1.1.1.3.cmml" type="integer" xref="S7.E15.m2.1.1.1.1.1.1.3">2</cn></apply></apply></apply></apply></apply></annotation-xml><annotation encoding="application/x-tex" id="S7.E15.m2.1c">\displaystyle=\Delta E_{12}+\frac{1}{M}\sum_{j}(y_{2j}-\hat{y})^{2}</annotation><annotation encoding="application/x-llamapun" id="S7.E15.m2.1d">= roman_Δ italic_E start_POSTSUBSCRIPT 12 end_POSTSUBSCRIPT + divide start_ARG 1 end_ARG start_ARG italic_M end_ARG ∑ start_POSTSUBSCRIPT italic_j end_POSTSUBSCRIPT ( italic_y start_POSTSUBSCRIPT 2 italic_j end_POSTSUBSCRIPT - over^ start_ARG italic_y end_ARG ) start_POSTSUPERSCRIPT 2 end_POSTSUPERSCRIPT</annotation></semantics></math></td> <td class="ltx_eqn_cell ltx_eqn_center_padright"></td> <td class="ltx_eqn_cell ltx_eqn_eqno ltx_align_middle ltx_align_right" rowspan="1">(15)</td> </tr></tbody> </table> where <math alttext="\Delta E_{12}" class="ltx_Math" display="inline" id="S7.SS3.p1.5.m1.1"><semantics id="S7.SS3.p1.5.m1.1a"><mrow id="S7.SS3.p1.5.m1.1.1" xref="S7.SS3.p1.5.m1.1.1.cmml"><mi id="S7.SS3.p1.5.m1.1.1.2" mathvariant="normal" xref="S7.SS3.p1.5.m1.1.1.2.cmml">Δ</mi><mo id="S7.SS3.p1.5.m1.1.1.1" xref="S7.SS3.p1.5.m1.1.1.1.cmml">⁢</mo><msub id="S7.SS3.p1.5.m1.1.1.3" xref="S7.SS3.p1.5.m1.1.1.3.cmml"><mi id="S7.SS3.p1.5.m1.1.1.3.2" xref="S7.SS3.p1.5.m1.1.1.3.2.cmml">E</mi><mn id="S7.SS3.p1.5.m1.1.1.3.3" xref="S7.SS3.p1.5.m1.1.1.3.3.cmml">12</mn></msub></mrow><annotation-xml encoding="MathML-Content" id="S7.SS3.p1.5.m1.1b"><apply id="S7.SS3.p1.5.m1.1.1.cmml" xref="S7.SS3.p1.5.m1.1.1"><times id="S7.SS3.p1.5.m1.1.1.1.cmml" xref="S7.SS3.p1.5.m1.1.1.1"></times><ci id="S7.SS3.p1.5.m1.1.1.2.cmml" xref="S7.SS3.p1.5.m1.1.1.2">Δ</ci><apply id="S7.SS3.p1.5.m1.1.1.3.cmml" xref="S7.SS3.p1.5.m1.1.1.3"><csymbol cd="ambiguous" id="S7.SS3.p1.5.m1.1.1.3.1.cmml" xref="S7.SS3.p1.5.m1.1.1.3">subscript</csymbol><ci id="S7.SS3.p1.5.m1.1.1.3.2.cmml" xref="S7.SS3.p1.5.m1.1.1.3.2">𝐸</ci><cn id="S7.SS3.p1.5.m1.1.1.3.3.cmml" type="integer" xref="S7.SS3.p1.5.m1.1.1.3.3">12</cn></apply></apply></annotation-xml><annotation encoding="application/x-tex" id="S7.SS3.p1.5.m1.1c">\Delta E_{12}</annotation><annotation encoding="application/x-llamapun" id="S7.SS3.p1.5.m1.1d">roman_Δ italic_E start_POSTSUBSCRIPT 12 end_POSTSUBSCRIPT</annotation></semantics></math> is the error gap between the two models and <math alttext="M" class="ltx_Math" display="inline" id="S7.SS3.p1.6.m2.1"><semantics id="S7.SS3.p1.6.m2.1a"><mi id="S7.SS3.p1.6.m2.1.1" xref="S7.SS3.p1.6.m2.1.1.cmml">M</mi><annotation-xml encoding="MathML-Content" id="S7.SS3.p1.6.m2.1b"><ci id="S7.SS3.p1.6.m2.1.1.cmml" xref="S7.SS3.p1.6.m2.1.1">𝑀</ci></annotation-xml><annotation encoding="application/x-tex" id="S7.SS3.p1.6.m2.1c">M</annotation><annotation encoding="application/x-llamapun" id="S7.SS3.p1.6.m2.1d">italic_M</annotation></semantics></math> is the number of outputs on which the error is averaged. From (<a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S7.E15" title="Equation 15 ‣ 7.3 Ensembling NeRFs’ Outputs ‣ 7 Additional Details ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">15</a>) we can easily write <table class="ltx_equation ltx_eqn_table" id="S7.E16"> <tbody><tr class="ltx_equation ltx_eqn_row ltx_align_baseline"> <td class="ltx_eqn_cell ltx_eqn_center_padleft"></td> <td class="ltx_eqn_cell ltx_align_center"><math alttext="\frac{1}{M}\sum_{j}(y_{2j}^{2}-y_{1j}^{2})=\Delta E_{12}+\frac{2}{M}\sum_{j}% \hat{y}(y_{2j}-y_{1j})." class="ltx_Math" display="block" id="S7.E16.m1.1"><semantics id="S7.E16.m1.1a"><mrow id="S7.E16.m1.1.1.1" xref="S7.E16.m1.1.1.1.1.cmml"><mrow id="S7.E16.m1.1.1.1.1" xref="S7.E16.m1.1.1.1.1.cmml"><mrow id="S7.E16.m1.1.1.1.1.1" xref="S7.E16.m1.1.1.1.1.1.cmml"><mfrac id="S7.E16.m1.1.1.1.1.1.3" xref="S7.E16.m1.1.1.1.1.1.3.cmml"><mn id="S7.E16.m1.1.1.1.1.1.3.2" 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xref="S7.E16.m1.1.1.1.1.2.3.3.3.cmml">12</mn></msub></mrow><mo id="S7.E16.m1.1.1.1.1.2.2" xref="S7.E16.m1.1.1.1.1.2.2.cmml">+</mo><mrow id="S7.E16.m1.1.1.1.1.2.1" xref="S7.E16.m1.1.1.1.1.2.1.cmml"><mfrac id="S7.E16.m1.1.1.1.1.2.1.3" xref="S7.E16.m1.1.1.1.1.2.1.3.cmml"><mn id="S7.E16.m1.1.1.1.1.2.1.3.2" xref="S7.E16.m1.1.1.1.1.2.1.3.2.cmml">2</mn><mi id="S7.E16.m1.1.1.1.1.2.1.3.3" xref="S7.E16.m1.1.1.1.1.2.1.3.3.cmml">M</mi></mfrac><mo id="S7.E16.m1.1.1.1.1.2.1.2" xref="S7.E16.m1.1.1.1.1.2.1.2.cmml">⁢</mo><mrow id="S7.E16.m1.1.1.1.1.2.1.1" xref="S7.E16.m1.1.1.1.1.2.1.1.cmml"><munder id="S7.E16.m1.1.1.1.1.2.1.1.2" xref="S7.E16.m1.1.1.1.1.2.1.1.2.cmml"><mo id="S7.E16.m1.1.1.1.1.2.1.1.2.2" movablelimits="false" xref="S7.E16.m1.1.1.1.1.2.1.1.2.2.cmml">∑</mo><mi id="S7.E16.m1.1.1.1.1.2.1.1.2.3" xref="S7.E16.m1.1.1.1.1.2.1.1.2.3.cmml">j</mi></munder><mrow id="S7.E16.m1.1.1.1.1.2.1.1.1" xref="S7.E16.m1.1.1.1.1.2.1.1.1.cmml"><mover accent="true" id="S7.E16.m1.1.1.1.1.2.1.1.1.3" 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xref="S7.E16.m1.1.1.1.1.2.1.1.1.1.1.1.3.2">𝑦</ci><apply id="S7.E16.m1.1.1.1.1.2.1.1.1.1.1.1.3.3.cmml" xref="S7.E16.m1.1.1.1.1.2.1.1.1.1.1.1.3.3"><times id="S7.E16.m1.1.1.1.1.2.1.1.1.1.1.1.3.3.1.cmml" xref="S7.E16.m1.1.1.1.1.2.1.1.1.1.1.1.3.3.1"></times><cn id="S7.E16.m1.1.1.1.1.2.1.1.1.1.1.1.3.3.2.cmml" type="integer" xref="S7.E16.m1.1.1.1.1.2.1.1.1.1.1.1.3.3.2">1</cn><ci id="S7.E16.m1.1.1.1.1.2.1.1.1.1.1.1.3.3.3.cmml" xref="S7.E16.m1.1.1.1.1.2.1.1.1.1.1.1.3.3.3">𝑗</ci></apply></apply></apply></apply></apply></apply></apply></apply></annotation-xml><annotation encoding="application/x-tex" id="S7.E16.m1.1c">\frac{1}{M}\sum_{j}(y_{2j}^{2}-y_{1j}^{2})=\Delta E_{12}+\frac{2}{M}\sum_{j}% \hat{y}(y_{2j}-y_{1j}).</annotation><annotation encoding="application/x-llamapun" id="S7.E16.m1.1d">divide start_ARG 1 end_ARG start_ARG italic_M end_ARG ∑ start_POSTSUBSCRIPT italic_j end_POSTSUBSCRIPT ( italic_y start_POSTSUBSCRIPT 2 italic_j end_POSTSUBSCRIPT start_POSTSUPERSCRIPT 2 end_POSTSUPERSCRIPT - italic_y start_POSTSUBSCRIPT 1 italic_j end_POSTSUBSCRIPT start_POSTSUPERSCRIPT 2 end_POSTSUPERSCRIPT ) = roman_Δ italic_E start_POSTSUBSCRIPT 12 end_POSTSUBSCRIPT + divide start_ARG 2 end_ARG start_ARG italic_M end_ARG ∑ start_POSTSUBSCRIPT italic_j end_POSTSUBSCRIPT over^ start_ARG italic_y end_ARG ( italic_y start_POSTSUBSCRIPT 2 italic_j end_POSTSUBSCRIPT - italic_y start_POSTSUBSCRIPT 1 italic_j end_POSTSUBSCRIPT ) .</annotation></semantics></math></td> <td class="ltx_eqn_cell ltx_eqn_center_padright"></td> <td class="ltx_eqn_cell ltx_eqn_eqno ltx_align_middle ltx_align_right" rowspan="1">(16)</td> </tr></tbody> </table> Through ensembling, we desire the error <math alttext="E_{\text{ens}}" class="ltx_Math" display="inline" id="S7.SS3.p1.7.m1.1"><semantics id="S7.SS3.p1.7.m1.1a"><msub id="S7.SS3.p1.7.m1.1.1" xref="S7.SS3.p1.7.m1.1.1.cmml"><mi id="S7.SS3.p1.7.m1.1.1.2" xref="S7.SS3.p1.7.m1.1.1.2.cmml">E</mi><mtext id="S7.SS3.p1.7.m1.1.1.3" xref="S7.SS3.p1.7.m1.1.1.3a.cmml">ens</mtext></msub><annotation-xml encoding="MathML-Content" id="S7.SS3.p1.7.m1.1b"><apply id="S7.SS3.p1.7.m1.1.1.cmml" xref="S7.SS3.p1.7.m1.1.1"><csymbol cd="ambiguous" id="S7.SS3.p1.7.m1.1.1.1.cmml" xref="S7.SS3.p1.7.m1.1.1">subscript</csymbol><ci id="S7.SS3.p1.7.m1.1.1.2.cmml" xref="S7.SS3.p1.7.m1.1.1.2">𝐸</ci><ci id="S7.SS3.p1.7.m1.1.1.3a.cmml" xref="S7.SS3.p1.7.m1.1.1.3"><mtext id="S7.SS3.p1.7.m1.1.1.3.cmml" mathsize="70%" xref="S7.SS3.p1.7.m1.1.1.3">ens</mtext></ci></apply></annotation-xml><annotation encoding="application/x-tex" id="S7.SS3.p1.7.m1.1c">E_{\text{ens}}</annotation><annotation encoding="application/x-llamapun" id="S7.SS3.p1.7.m1.1d">italic_E start_POSTSUBSCRIPT ens end_POSTSUBSCRIPT</annotation></semantics></math> to be lower than either of the two other models. Without loss of generality, let us consider the case such that it is lower than the error of the first model: <table class="ltx_equationgroup ltx_eqn_align ltx_eqn_table" id="S12.EGx2"> <tbody id="S7.Ex2"><tr class="ltx_equation ltx_eqn_row ltx_align_baseline"> <td class="ltx_eqn_cell ltx_eqn_center_padleft"></td> <td class="ltx_td ltx_align_right ltx_eqn_cell"><math alttext="\displaystyle E^{\text{ens}}" class="ltx_Math" display="inline" id="S7.Ex2.m1.1"><semantics id="S7.Ex2.m1.1a"><msup id="S7.Ex2.m1.1.1" xref="S7.Ex2.m1.1.1.cmml"><mi id="S7.Ex2.m1.1.1.2" xref="S7.Ex2.m1.1.1.2.cmml">E</mi><mtext id="S7.Ex2.m1.1.1.3" xref="S7.Ex2.m1.1.1.3a.cmml">ens</mtext></msup><annotation-xml encoding="MathML-Content" id="S7.Ex2.m1.1b"><apply id="S7.Ex2.m1.1.1.cmml" xref="S7.Ex2.m1.1.1"><csymbol cd="ambiguous" id="S7.Ex2.m1.1.1.1.cmml" xref="S7.Ex2.m1.1.1">superscript</csymbol><ci id="S7.Ex2.m1.1.1.2.cmml" xref="S7.Ex2.m1.1.1.2">𝐸</ci><ci id="S7.Ex2.m1.1.1.3a.cmml" xref="S7.Ex2.m1.1.1.3"><mtext id="S7.Ex2.m1.1.1.3.cmml" mathsize="70%" xref="S7.Ex2.m1.1.1.3">ens</mtext></ci></apply></annotation-xml><annotation encoding="application/x-tex" id="S7.Ex2.m1.1c">\displaystyle E^{\text{ens}}</annotation><annotation encoding="application/x-llamapun" id="S7.Ex2.m1.1d">italic_E start_POSTSUPERSCRIPT ens end_POSTSUPERSCRIPT</annotation></semantics></math></td> <td class="ltx_td ltx_align_left ltx_eqn_cell"><math alttext="\displaystyle<E_{1}" class="ltx_Math" display="inline" id="S7.Ex2.m2.1"><semantics id="S7.Ex2.m2.1a"><mrow id="S7.Ex2.m2.1.1" xref="S7.Ex2.m2.1.1.cmml"><mi id="S7.Ex2.m2.1.1.2" xref="S7.Ex2.m2.1.1.2.cmml"></mi><mo id="S7.Ex2.m2.1.1.1" xref="S7.Ex2.m2.1.1.1.cmml"><</mo><msub id="S7.Ex2.m2.1.1.3" xref="S7.Ex2.m2.1.1.3.cmml"><mi id="S7.Ex2.m2.1.1.3.2" xref="S7.Ex2.m2.1.1.3.2.cmml">E</mi><mn id="S7.Ex2.m2.1.1.3.3" xref="S7.Ex2.m2.1.1.3.3.cmml">1</mn></msub></mrow><annotation-xml encoding="MathML-Content" id="S7.Ex2.m2.1b"><apply id="S7.Ex2.m2.1.1.cmml" xref="S7.Ex2.m2.1.1"><lt id="S7.Ex2.m2.1.1.1.cmml" xref="S7.Ex2.m2.1.1.1"></lt><csymbol cd="latexml" id="S7.Ex2.m2.1.1.2.cmml" xref="S7.Ex2.m2.1.1.2">absent</csymbol><apply id="S7.Ex2.m2.1.1.3.cmml" xref="S7.Ex2.m2.1.1.3"><csymbol cd="ambiguous" id="S7.Ex2.m2.1.1.3.1.cmml" xref="S7.Ex2.m2.1.1.3">subscript</csymbol><ci id="S7.Ex2.m2.1.1.3.2.cmml" xref="S7.Ex2.m2.1.1.3.2">𝐸</ci><cn id="S7.Ex2.m2.1.1.3.3.cmml" type="integer" xref="S7.Ex2.m2.1.1.3.3">1</cn></apply></apply></annotation-xml><annotation encoding="application/x-tex" id="S7.Ex2.m2.1c">\displaystyle<E_{1}</annotation><annotation encoding="application/x-llamapun" id="S7.Ex2.m2.1d">< italic_E start_POSTSUBSCRIPT 1 end_POSTSUBSCRIPT</annotation></semantics></math></td> <td class="ltx_eqn_cell ltx_eqn_center_padright"></td> </tr></tbody> <tbody id="S7.E17"><tr class="ltx_equation ltx_eqn_row ltx_align_baseline"> <td class="ltx_eqn_cell ltx_eqn_center_padleft"></td> <td class="ltx_td ltx_align_right ltx_eqn_cell"><math 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id="S7.E17.m1.1.1.1.1.1.1.1.3.cmml" xref="S7.E17.m1.1.1.1.1.1.1.1.3"><ci id="S7.E17.m1.1.1.1.1.1.1.1.3.1.cmml" xref="S7.E17.m1.1.1.1.1.1.1.1.3.1">^</ci><ci id="S7.E17.m1.1.1.1.1.1.1.1.3.2.cmml" xref="S7.E17.m1.1.1.1.1.1.1.1.3.2">𝑦</ci></apply></apply><cn id="S7.E17.m1.1.1.1.1.3.cmml" type="integer" xref="S7.E17.m1.1.1.1.1.3">2</cn></apply></apply></apply></annotation-xml><annotation encoding="application/x-tex" id="S7.E17.m1.1c">\displaystyle\frac{1}{M}\sum_{j}(\alpha_{1}y_{1j}+\alpha_{2}y_{2j}-\hat{y})^{2}</annotation><annotation encoding="application/x-llamapun" id="S7.E17.m1.1d">divide start_ARG 1 end_ARG start_ARG italic_M end_ARG ∑ start_POSTSUBSCRIPT italic_j end_POSTSUBSCRIPT ( italic_α start_POSTSUBSCRIPT 1 end_POSTSUBSCRIPT italic_y start_POSTSUBSCRIPT 1 italic_j end_POSTSUBSCRIPT + italic_α start_POSTSUBSCRIPT 2 end_POSTSUBSCRIPT italic_y start_POSTSUBSCRIPT 2 italic_j end_POSTSUBSCRIPT - over^ start_ARG italic_y end_ARG ) start_POSTSUPERSCRIPT 2 end_POSTSUPERSCRIPT</annotation></semantics></math></td> <td class="ltx_td ltx_align_left ltx_eqn_cell"><math alttext="\displaystyle<\frac{1}{M}\sum_{j}(y_{1j}-\hat{y})^{2}" class="ltx_Math" display="inline" id="S7.E17.m2.1"><semantics id="S7.E17.m2.1a"><mrow id="S7.E17.m2.1.1" xref="S7.E17.m2.1.1.cmml"><mi id="S7.E17.m2.1.1.3" xref="S7.E17.m2.1.1.3.cmml"></mi><mo id="S7.E17.m2.1.1.2" xref="S7.E17.m2.1.1.2.cmml"><</mo><mrow id="S7.E17.m2.1.1.1" xref="S7.E17.m2.1.1.1.cmml"><mstyle displaystyle="true" id="S7.E17.m2.1.1.1.3" xref="S7.E17.m2.1.1.1.3.cmml"><mfrac id="S7.E17.m2.1.1.1.3a" xref="S7.E17.m2.1.1.1.3.cmml"><mn id="S7.E17.m2.1.1.1.3.2" xref="S7.E17.m2.1.1.1.3.2.cmml">1</mn><mi id="S7.E17.m2.1.1.1.3.3" xref="S7.E17.m2.1.1.1.3.3.cmml">M</mi></mfrac></mstyle><mo id="S7.E17.m2.1.1.1.2" xref="S7.E17.m2.1.1.1.2.cmml">⁢</mo><mrow id="S7.E17.m2.1.1.1.1" xref="S7.E17.m2.1.1.1.1.cmml"><mstyle displaystyle="true" id="S7.E17.m2.1.1.1.1.2" xref="S7.E17.m2.1.1.1.1.2.cmml"><munder 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id="S7.E17.m2.1.1.1.1.1.1.1.1.2.3.3" xref="S7.E17.m2.1.1.1.1.1.1.1.1.2.3.3.cmml">j</mi></mrow></msub><mo id="S7.E17.m2.1.1.1.1.1.1.1.1.1" xref="S7.E17.m2.1.1.1.1.1.1.1.1.1.cmml">−</mo><mover accent="true" id="S7.E17.m2.1.1.1.1.1.1.1.1.3" xref="S7.E17.m2.1.1.1.1.1.1.1.1.3.cmml"><mi id="S7.E17.m2.1.1.1.1.1.1.1.1.3.2" xref="S7.E17.m2.1.1.1.1.1.1.1.1.3.2.cmml">y</mi><mo id="S7.E17.m2.1.1.1.1.1.1.1.1.3.1" xref="S7.E17.m2.1.1.1.1.1.1.1.1.3.1.cmml">^</mo></mover></mrow><mo id="S7.E17.m2.1.1.1.1.1.1.1.3" stretchy="false" xref="S7.E17.m2.1.1.1.1.1.1.1.1.cmml">)</mo></mrow><mn id="S7.E17.m2.1.1.1.1.1.3" xref="S7.E17.m2.1.1.1.1.1.3.cmml">2</mn></msup></mrow></mrow></mrow><annotation-xml encoding="MathML-Content" id="S7.E17.m2.1b"><apply id="S7.E17.m2.1.1.cmml" xref="S7.E17.m2.1.1"><lt id="S7.E17.m2.1.1.2.cmml" xref="S7.E17.m2.1.1.2"></lt><csymbol cd="latexml" id="S7.E17.m2.1.1.3.cmml" xref="S7.E17.m2.1.1.3">absent</csymbol><apply id="S7.E17.m2.1.1.1.cmml" xref="S7.E17.m2.1.1.1"><times 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id="S7.E17.m2.1.1.1.1.1.1.1.1.1.cmml" xref="S7.E17.m2.1.1.1.1.1.1.1.1.1"></minus><apply id="S7.E17.m2.1.1.1.1.1.1.1.1.2.cmml" xref="S7.E17.m2.1.1.1.1.1.1.1.1.2"><csymbol cd="ambiguous" id="S7.E17.m2.1.1.1.1.1.1.1.1.2.1.cmml" xref="S7.E17.m2.1.1.1.1.1.1.1.1.2">subscript</csymbol><ci id="S7.E17.m2.1.1.1.1.1.1.1.1.2.2.cmml" xref="S7.E17.m2.1.1.1.1.1.1.1.1.2.2">𝑦</ci><apply id="S7.E17.m2.1.1.1.1.1.1.1.1.2.3.cmml" xref="S7.E17.m2.1.1.1.1.1.1.1.1.2.3"><times id="S7.E17.m2.1.1.1.1.1.1.1.1.2.3.1.cmml" xref="S7.E17.m2.1.1.1.1.1.1.1.1.2.3.1"></times><cn id="S7.E17.m2.1.1.1.1.1.1.1.1.2.3.2.cmml" type="integer" xref="S7.E17.m2.1.1.1.1.1.1.1.1.2.3.2">1</cn><ci id="S7.E17.m2.1.1.1.1.1.1.1.1.2.3.3.cmml" xref="S7.E17.m2.1.1.1.1.1.1.1.1.2.3.3">𝑗</ci></apply></apply><apply id="S7.E17.m2.1.1.1.1.1.1.1.1.3.cmml" xref="S7.E17.m2.1.1.1.1.1.1.1.1.3"><ci id="S7.E17.m2.1.1.1.1.1.1.1.1.3.1.cmml" xref="S7.E17.m2.1.1.1.1.1.1.1.1.3.1">^</ci><ci id="S7.E17.m2.1.1.1.1.1.1.1.1.3.2.cmml" xref="S7.E17.m2.1.1.1.1.1.1.1.1.3.2">𝑦</ci></apply></apply><cn id="S7.E17.m2.1.1.1.1.1.3.cmml" type="integer" xref="S7.E17.m2.1.1.1.1.1.3">2</cn></apply></apply></apply></apply></annotation-xml><annotation encoding="application/x-tex" id="S7.E17.m2.1c">\displaystyle<\frac{1}{M}\sum_{j}(y_{1j}-\hat{y})^{2}</annotation><annotation encoding="application/x-llamapun" id="S7.E17.m2.1d">< divide start_ARG 1 end_ARG start_ARG italic_M end_ARG ∑ start_POSTSUBSCRIPT italic_j end_POSTSUBSCRIPT ( italic_y start_POSTSUBSCRIPT 1 italic_j end_POSTSUBSCRIPT - over^ start_ARG italic_y end_ARG ) start_POSTSUPERSCRIPT 2 end_POSTSUPERSCRIPT</annotation></semantics></math></td> <td class="ltx_eqn_cell ltx_eqn_center_padright"></td> <td class="ltx_eqn_cell ltx_eqn_eqno ltx_align_middle ltx_align_right" rowspan="1">(17)</td> </tr></tbody> </table> where <math alttext="\alpha_{1},\!\alpha_{2}" class="ltx_Math" display="inline" id="S7.SS3.p1.8.m1.2"><semantics id="S7.SS3.p1.8.m1.2a"><mrow id="S7.SS3.p1.8.m1.2.2.2" xref="S7.SS3.p1.8.m1.2.2.3.cmml"><msub id="S7.SS3.p1.8.m1.1.1.1.1" xref="S7.SS3.p1.8.m1.1.1.1.1.cmml"><mi id="S7.SS3.p1.8.m1.1.1.1.1.2" xref="S7.SS3.p1.8.m1.1.1.1.1.2.cmml">α</mi><mn id="S7.SS3.p1.8.m1.1.1.1.1.3" xref="S7.SS3.p1.8.m1.1.1.1.1.3.cmml">1</mn></msub><mpadded width="0.275em"><mo id="S7.SS3.p1.8.m1.2.2.2.3" xref="S7.SS3.p1.8.m1.2.2.3.cmml">,</mo></mpadded><msub id="S7.SS3.p1.8.m1.2.2.2.2" xref="S7.SS3.p1.8.m1.2.2.2.2.cmml"><mi id="S7.SS3.p1.8.m1.2.2.2.2.2" xref="S7.SS3.p1.8.m1.2.2.2.2.2.cmml">α</mi><mn id="S7.SS3.p1.8.m1.2.2.2.2.3" xref="S7.SS3.p1.8.m1.2.2.2.2.3.cmml">2</mn></msub></mrow><annotation-xml encoding="MathML-Content" id="S7.SS3.p1.8.m1.2b"><list id="S7.SS3.p1.8.m1.2.2.3.cmml" xref="S7.SS3.p1.8.m1.2.2.2"><apply id="S7.SS3.p1.8.m1.1.1.1.1.cmml" xref="S7.SS3.p1.8.m1.1.1.1.1"><csymbol cd="ambiguous" id="S7.SS3.p1.8.m1.1.1.1.1.1.cmml" xref="S7.SS3.p1.8.m1.1.1.1.1">subscript</csymbol><ci id="S7.SS3.p1.8.m1.1.1.1.1.2.cmml" xref="S7.SS3.p1.8.m1.1.1.1.1.2">𝛼</ci><cn id="S7.SS3.p1.8.m1.1.1.1.1.3.cmml" type="integer" xref="S7.SS3.p1.8.m1.1.1.1.1.3">1</cn></apply><apply id="S7.SS3.p1.8.m1.2.2.2.2.cmml" xref="S7.SS3.p1.8.m1.2.2.2.2"><csymbol cd="ambiguous" id="S7.SS3.p1.8.m1.2.2.2.2.1.cmml" xref="S7.SS3.p1.8.m1.2.2.2.2">subscript</csymbol><ci id="S7.SS3.p1.8.m1.2.2.2.2.2.cmml" xref="S7.SS3.p1.8.m1.2.2.2.2.2">𝛼</ci><cn id="S7.SS3.p1.8.m1.2.2.2.2.3.cmml" type="integer" xref="S7.SS3.p1.8.m1.2.2.2.2.3">2</cn></apply></list></annotation-xml><annotation encoding="application/x-tex" id="S7.SS3.p1.8.m1.2c">\alpha_{1},\!\alpha_{2}</annotation><annotation encoding="application/x-llamapun" id="S7.SS3.p1.8.m1.2d">italic_α start_POSTSUBSCRIPT 1 end_POSTSUBSCRIPT , italic_α start_POSTSUBSCRIPT 2 end_POSTSUBSCRIPT</annotation></semantics></math> are two weighting factors for the two NeRF’s outputs. If we expand (<a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S7.E17" title="Equation 17 ‣ 7.3 Ensembling NeRFs’ Outputs ‣ 7 Additional Details ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">17</a>) we obtain <table class="ltx_equationgroup ltx_eqn_align ltx_eqn_table" id="S12.EGx3"> <tbody id="S7.Ex3"><tr class="ltx_equation ltx_eqn_row ltx_align_baseline"> <td class="ltx_eqn_cell ltx_eqn_center_padleft"></td> <td class="ltx_td ltx_align_right ltx_eqn_cell"><math alttext="\displaystyle\frac{1}{M}\sum_{j}(\alpha_{1}y_{1j}+" class="ltx_math_unparsed" display="inline" id="S7.Ex3.m1.1"><semantics id="S7.Ex3.m1.1a"><mrow id="S7.Ex3.m1.1b"><mstyle displaystyle="true" id="S7.Ex3.m1.1.1"><mfrac id="S7.Ex3.m1.1.1a"><mn id="S7.Ex3.m1.1.1.2">1</mn><mi id="S7.Ex3.m1.1.1.3">M</mi></mfrac></mstyle><mstyle displaystyle="true" id="S7.Ex3.m1.1.2"><munder id="S7.Ex3.m1.1.2a"><mo id="S7.Ex3.m1.1.2.2" movablelimits="false">∑</mo><mi id="S7.Ex3.m1.1.2.3">j</mi></munder></mstyle><mrow id="S7.Ex3.m1.1.3"><mo id="S7.Ex3.m1.1.3.1" stretchy="false">(</mo><msub id="S7.Ex3.m1.1.3.2"><mi id="S7.Ex3.m1.1.3.2.2">α</mi><mn id="S7.Ex3.m1.1.3.2.3">1</mn></msub><msub id="S7.Ex3.m1.1.3.3"><mi id="S7.Ex3.m1.1.3.3.2">y</mi><mrow id="S7.Ex3.m1.1.3.3.3"><mn id="S7.Ex3.m1.1.3.3.3.2">1</mn><mo id="S7.Ex3.m1.1.3.3.3.1">⁢</mo><mi id="S7.Ex3.m1.1.3.3.3.3">j</mi></mrow></msub><mo id="S7.Ex3.m1.1.3.4">+</mo></mrow></mrow><annotation encoding="application/x-tex" id="S7.Ex3.m1.1c">\displaystyle\frac{1}{M}\sum_{j}(\alpha_{1}y_{1j}+</annotation><annotation encoding="application/x-llamapun" id="S7.Ex3.m1.1d">divide start_ARG 1 end_ARG start_ARG italic_M end_ARG ∑ start_POSTSUBSCRIPT italic_j end_POSTSUBSCRIPT ( italic_α start_POSTSUBSCRIPT 1 end_POSTSUBSCRIPT italic_y start_POSTSUBSCRIPT 1 italic_j end_POSTSUBSCRIPT +</annotation></semantics></math></td> <td class="ltx_td ltx_align_left ltx_eqn_cell"><math alttext="\displaystyle\alpha_{2}y_{2j})^{2}-y_{1j}^{2}<" class="ltx_math_unparsed" display="inline" id="S7.Ex3.m2.1"><semantics id="S7.Ex3.m2.1a"><mrow id="S7.Ex3.m2.1b"><msub id="S7.Ex3.m2.1.1"><mi id="S7.Ex3.m2.1.1.2">α</mi><mn id="S7.Ex3.m2.1.1.3">2</mn></msub><msub id="S7.Ex3.m2.1.2"><mi id="S7.Ex3.m2.1.2.2">y</mi><mrow id="S7.Ex3.m2.1.2.3"><mn id="S7.Ex3.m2.1.2.3.2">2</mn><mo id="S7.Ex3.m2.1.2.3.1">⁢</mo><mi id="S7.Ex3.m2.1.2.3.3">j</mi></mrow></msub><mo id="S7.Ex3.m2.1.3" stretchy="false">)</mo><msup id="S7.Ex3.m2.1.4"><mi id="S7.Ex3.m2.1.4a"></mi><mn id="S7.Ex3.m2.1.4.1">2</mn></msup><mo id="S7.Ex3.m2.1.5">−</mo><mi id="S7.Ex3.m2.1.6">y</mi><msub id="S7.Ex3.m2.1.7"><mi id="S7.Ex3.m2.1.7a"></mi><mrow id="S7.Ex3.m2.1.7.1"><mn id="S7.Ex3.m2.1.7.1.2">1</mn><mo id="S7.Ex3.m2.1.7.1.1">⁢</mo><mi id="S7.Ex3.m2.1.7.1.3">j</mi></mrow></msub><msup id="S7.Ex3.m2.1.8"><mi id="S7.Ex3.m2.1.8a"></mi><mn id="S7.Ex3.m2.1.8.1">2</mn></msup><mo id="S7.Ex3.m2.1.9"><</mo></mrow><annotation encoding="application/x-tex" id="S7.Ex3.m2.1c">\displaystyle\alpha_{2}y_{2j})^{2}-y_{1j}^{2}<</annotation><annotation encoding="application/x-llamapun" id="S7.Ex3.m2.1d">italic_α start_POSTSUBSCRIPT 2 end_POSTSUBSCRIPT italic_y start_POSTSUBSCRIPT 2 italic_j end_POSTSUBSCRIPT ) start_POSTSUPERSCRIPT 2 end_POSTSUPERSCRIPT - italic_y start_POSTSUBSCRIPT 1 italic_j end_POSTSUBSCRIPT start_POSTSUPERSCRIPT 2 end_POSTSUPERSCRIPT <</annotation></semantics></math></td> <td class="ltx_eqn_cell ltx_eqn_center_padright"></td> </tr></tbody> <tbody id="S7.E18"><tr class="ltx_equation ltx_eqn_row ltx_align_baseline"> <td class="ltx_eqn_cell ltx_eqn_center_padleft"></td> <td class="ltx_td ltx_eqn_cell"></td> <td class="ltx_td ltx_align_left ltx_eqn_cell"><math alttext="\displaystyle\frac{2}{M}\sum_{j}\hat{y}\left[\alpha_{2}y_{2j}-(1-\alpha_{1})y_% {1j}\right]." class="ltx_Math" display="inline" id="S7.E18.m1.1"><semantics id="S7.E18.m1.1a"><mrow id="S7.E18.m1.1.1.1" 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xref="S7.E18.m1.1.1.1.1.1.1.1.1.1.1.3.2">𝑦</ci><apply id="S7.E18.m1.1.1.1.1.1.1.1.1.1.1.3.3.cmml" xref="S7.E18.m1.1.1.1.1.1.1.1.1.1.1.3.3"><times id="S7.E18.m1.1.1.1.1.1.1.1.1.1.1.3.3.1.cmml" xref="S7.E18.m1.1.1.1.1.1.1.1.1.1.1.3.3.1"></times><cn id="S7.E18.m1.1.1.1.1.1.1.1.1.1.1.3.3.2.cmml" type="integer" xref="S7.E18.m1.1.1.1.1.1.1.1.1.1.1.3.3.2">1</cn><ci id="S7.E18.m1.1.1.1.1.1.1.1.1.1.1.3.3.3.cmml" xref="S7.E18.m1.1.1.1.1.1.1.1.1.1.1.3.3.3">𝑗</ci></apply></apply></apply></apply></apply></apply></apply></apply></annotation-xml><annotation encoding="application/x-tex" id="S7.E18.m1.1c">\displaystyle\frac{2}{M}\sum_{j}\hat{y}\left[\alpha_{2}y_{2j}-(1-\alpha_{1})y_% {1j}\right].</annotation><annotation encoding="application/x-llamapun" id="S7.E18.m1.1d">divide start_ARG 2 end_ARG start_ARG italic_M end_ARG ∑ start_POSTSUBSCRIPT italic_j end_POSTSUBSCRIPT over^ start_ARG italic_y end_ARG [ italic_α start_POSTSUBSCRIPT 2 end_POSTSUBSCRIPT italic_y start_POSTSUBSCRIPT 2 italic_j end_POSTSUBSCRIPT - ( 1 - italic_α start_POSTSUBSCRIPT 1 end_POSTSUBSCRIPT ) italic_y start_POSTSUBSCRIPT 1 italic_j end_POSTSUBSCRIPT ] .</annotation></semantics></math></td> <td class="ltx_eqn_cell ltx_eqn_center_padright"></td> <td class="ltx_eqn_cell ltx_eqn_eqno ltx_align_middle ltx_align_right" rowspan="1">(18)</td> </tr></tbody> </table> In order to plug (<a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S7.E15" title="Equation 15 ‣ 7.3 Ensembling NeRFs’ Outputs ‣ 7 Additional Details ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">15</a>) in (<a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S7.E18" title="Equation 18 ‣ 7.3 Ensembling NeRFs’ Outputs ‣ 7 Additional Details ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">18</a>), we need to impose <math alttext="\alpha_{2}=1-\alpha_{1}" class="ltx_Math" display="inline" id="S7.SS3.p1.9.m1.1"><semantics id="S7.SS3.p1.9.m1.1a"><mrow id="S7.SS3.p1.9.m1.1.1" xref="S7.SS3.p1.9.m1.1.1.cmml"><msub id="S7.SS3.p1.9.m1.1.1.2" xref="S7.SS3.p1.9.m1.1.1.2.cmml"><mi id="S7.SS3.p1.9.m1.1.1.2.2" xref="S7.SS3.p1.9.m1.1.1.2.2.cmml">α</mi><mn id="S7.SS3.p1.9.m1.1.1.2.3" xref="S7.SS3.p1.9.m1.1.1.2.3.cmml">2</mn></msub><mo id="S7.SS3.p1.9.m1.1.1.1" xref="S7.SS3.p1.9.m1.1.1.1.cmml">=</mo><mrow id="S7.SS3.p1.9.m1.1.1.3" xref="S7.SS3.p1.9.m1.1.1.3.cmml"><mn id="S7.SS3.p1.9.m1.1.1.3.2" xref="S7.SS3.p1.9.m1.1.1.3.2.cmml">1</mn><mo id="S7.SS3.p1.9.m1.1.1.3.1" xref="S7.SS3.p1.9.m1.1.1.3.1.cmml">−</mo><msub id="S7.SS3.p1.9.m1.1.1.3.3" xref="S7.SS3.p1.9.m1.1.1.3.3.cmml"><mi id="S7.SS3.p1.9.m1.1.1.3.3.2" xref="S7.SS3.p1.9.m1.1.1.3.3.2.cmml">α</mi><mn id="S7.SS3.p1.9.m1.1.1.3.3.3" xref="S7.SS3.p1.9.m1.1.1.3.3.3.cmml">1</mn></msub></mrow></mrow><annotation-xml encoding="MathML-Content" id="S7.SS3.p1.9.m1.1b"><apply id="S7.SS3.p1.9.m1.1.1.cmml" xref="S7.SS3.p1.9.m1.1.1"><eq id="S7.SS3.p1.9.m1.1.1.1.cmml" xref="S7.SS3.p1.9.m1.1.1.1"></eq><apply id="S7.SS3.p1.9.m1.1.1.2.cmml" xref="S7.SS3.p1.9.m1.1.1.2"><csymbol cd="ambiguous" id="S7.SS3.p1.9.m1.1.1.2.1.cmml" xref="S7.SS3.p1.9.m1.1.1.2">subscript</csymbol><ci id="S7.SS3.p1.9.m1.1.1.2.2.cmml" xref="S7.SS3.p1.9.m1.1.1.2.2">𝛼</ci><cn id="S7.SS3.p1.9.m1.1.1.2.3.cmml" type="integer" xref="S7.SS3.p1.9.m1.1.1.2.3">2</cn></apply><apply id="S7.SS3.p1.9.m1.1.1.3.cmml" xref="S7.SS3.p1.9.m1.1.1.3"><minus id="S7.SS3.p1.9.m1.1.1.3.1.cmml" xref="S7.SS3.p1.9.m1.1.1.3.1"></minus><cn id="S7.SS3.p1.9.m1.1.1.3.2.cmml" type="integer" xref="S7.SS3.p1.9.m1.1.1.3.2">1</cn><apply id="S7.SS3.p1.9.m1.1.1.3.3.cmml" xref="S7.SS3.p1.9.m1.1.1.3.3"><csymbol cd="ambiguous" id="S7.SS3.p1.9.m1.1.1.3.3.1.cmml" xref="S7.SS3.p1.9.m1.1.1.3.3">subscript</csymbol><ci id="S7.SS3.p1.9.m1.1.1.3.3.2.cmml" xref="S7.SS3.p1.9.m1.1.1.3.3.2">𝛼</ci><cn id="S7.SS3.p1.9.m1.1.1.3.3.3.cmml" type="integer" xref="S7.SS3.p1.9.m1.1.1.3.3.3">1</cn></apply></apply></apply></annotation-xml><annotation encoding="application/x-tex" id="S7.SS3.p1.9.m1.1c">\alpha_{2}=1-\alpha_{1}</annotation><annotation encoding="application/x-llamapun" id="S7.SS3.p1.9.m1.1d">italic_α start_POSTSUBSCRIPT 2 end_POSTSUBSCRIPT = 1 - italic_α start_POSTSUBSCRIPT 1 end_POSTSUBSCRIPT</annotation></semantics></math>. Hence, we have <table class="ltx_equationgroup ltx_eqn_align ltx_eqn_table" id="S12.EGx4"> <tbody id="S7.Ex4"><tr class="ltx_equation ltx_eqn_row ltx_align_baseline"> <td class="ltx_eqn_cell ltx_eqn_center_padleft"></td> <td class="ltx_td ltx_align_right ltx_eqn_cell"><math alttext="\displaystyle\frac{1}{M}\sum_{j}" class="ltx_Math" display="inline" id="S7.Ex4.m1.1"><semantics id="S7.Ex4.m1.1a"><mrow id="S7.Ex4.m1.1.1" xref="S7.Ex4.m1.1.1.cmml"><mstyle displaystyle="true" id="S7.Ex4.m1.1.1.2" xref="S7.Ex4.m1.1.1.2.cmml"><mfrac id="S7.Ex4.m1.1.1.2a" xref="S7.Ex4.m1.1.1.2.cmml"><mn id="S7.Ex4.m1.1.1.2.2" xref="S7.Ex4.m1.1.1.2.2.cmml">1</mn><mi id="S7.Ex4.m1.1.1.2.3" xref="S7.Ex4.m1.1.1.2.3.cmml">M</mi></mfrac></mstyle><mo id="S7.Ex4.m1.1.1.1" xref="S7.Ex4.m1.1.1.1.cmml">⁢</mo><mstyle displaystyle="true" id="S7.Ex4.m1.1.1.3" xref="S7.Ex4.m1.1.1.3.cmml"><munder id="S7.Ex4.m1.1.1.3a" xref="S7.Ex4.m1.1.1.3.cmml"><mo id="S7.Ex4.m1.1.1.3.2" movablelimits="false" xref="S7.Ex4.m1.1.1.3.2.cmml">∑</mo><mi id="S7.Ex4.m1.1.1.3.3" xref="S7.Ex4.m1.1.1.3.3.cmml">j</mi></munder></mstyle></mrow><annotation-xml encoding="MathML-Content" id="S7.Ex4.m1.1b"><apply id="S7.Ex4.m1.1.1.cmml" xref="S7.Ex4.m1.1.1"><times id="S7.Ex4.m1.1.1.1.cmml" xref="S7.Ex4.m1.1.1.1"></times><apply id="S7.Ex4.m1.1.1.2.cmml" xref="S7.Ex4.m1.1.1.2"><divide id="S7.Ex4.m1.1.1.2.1.cmml" xref="S7.Ex4.m1.1.1.2"></divide><cn id="S7.Ex4.m1.1.1.2.2.cmml" type="integer" xref="S7.Ex4.m1.1.1.2.2">1</cn><ci id="S7.Ex4.m1.1.1.2.3.cmml" xref="S7.Ex4.m1.1.1.2.3">𝑀</ci></apply><apply id="S7.Ex4.m1.1.1.3.cmml" xref="S7.Ex4.m1.1.1.3"><csymbol cd="ambiguous" id="S7.Ex4.m1.1.1.3.1.cmml" xref="S7.Ex4.m1.1.1.3">subscript</csymbol><sum id="S7.Ex4.m1.1.1.3.2.cmml" xref="S7.Ex4.m1.1.1.3.2"></sum><ci id="S7.Ex4.m1.1.1.3.3.cmml" xref="S7.Ex4.m1.1.1.3.3">𝑗</ci></apply></apply></annotation-xml><annotation encoding="application/x-tex" id="S7.Ex4.m1.1c">\displaystyle\frac{1}{M}\sum_{j}</annotation><annotation encoding="application/x-llamapun" id="S7.Ex4.m1.1d">divide start_ARG 1 end_ARG start_ARG italic_M end_ARG ∑ start_POSTSUBSCRIPT italic_j end_POSTSUBSCRIPT</annotation></semantics></math></td> <td class="ltx_td ltx_align_left ltx_eqn_cell"><math alttext="\displaystyle\left[\alpha_{1}y_{1j}+(1-\alpha_{1})y_{2j}\right]^{2}-y_{1j}^{2}<" class="ltx_Math" display="inline" id="S7.Ex4.m2.1"><semantics id="S7.Ex4.m2.1a"><mrow id="S7.Ex4.m2.1.1" xref="S7.Ex4.m2.1.1.cmml"><mrow id="S7.Ex4.m2.1.1.1" xref="S7.Ex4.m2.1.1.1.cmml"><msup id="S7.Ex4.m2.1.1.1.1" xref="S7.Ex4.m2.1.1.1.1.cmml"><mrow id="S7.Ex4.m2.1.1.1.1.1.1" xref="S7.Ex4.m2.1.1.1.1.1.2.cmml"><mo id="S7.Ex4.m2.1.1.1.1.1.1.2" xref="S7.Ex4.m2.1.1.1.1.1.2.1.cmml">[</mo><mrow id="S7.Ex4.m2.1.1.1.1.1.1.1" xref="S7.Ex4.m2.1.1.1.1.1.1.1.cmml"><mrow id="S7.Ex4.m2.1.1.1.1.1.1.1.3" xref="S7.Ex4.m2.1.1.1.1.1.1.1.3.cmml"><msub id="S7.Ex4.m2.1.1.1.1.1.1.1.3.2" xref="S7.Ex4.m2.1.1.1.1.1.1.1.3.2.cmml"><mi id="S7.Ex4.m2.1.1.1.1.1.1.1.3.2.2" 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start_POSTSUBSCRIPT 12 end_POSTSUBSCRIPT + divide start_ARG 1 end_ARG start_ARG italic_M end_ARG ∑ start_POSTSUBSCRIPT italic_j end_POSTSUBSCRIPT ( italic_y start_POSTSUBSCRIPT 2 italic_j end_POSTSUBSCRIPT - over^ start_ARG italic_y end_ARG ) start_POSTSUPERSCRIPT 2 end_POSTSUPERSCRIPT ] .</annotation></semantics></math></td> <td class="ltx_eqn_cell ltx_eqn_center_padright"></td> <td class="ltx_eqn_cell ltx_eqn_eqno ltx_align_middle ltx_align_right" rowspan="1">(19)</td> </tr></tbody> </table> By expanding and simplifying (<a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S7.E19" title="Equation 19 ‣ 7.3 Ensembling NeRFs’ Outputs ‣ 7 Additional Details ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">19</a>), we obtain <table class="ltx_equation ltx_eqn_table" id="S7.E20"> <tbody><tr class="ltx_equation ltx_eqn_row ltx_align_baseline"> <td class="ltx_eqn_cell ltx_eqn_center_padleft"></td> <td class="ltx_eqn_cell 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id="S7.E20.m1.1.1.1.1.3.1.1.1.3.cmml" xref="S7.E20.m1.1.1.1.1.3.1.1.1.3"><csymbol cd="ambiguous" id="S7.E20.m1.1.1.1.1.3.1.1.1.3.1.cmml" xref="S7.E20.m1.1.1.1.1.3.1.1.1.3">subscript</csymbol><ci id="S7.E20.m1.1.1.1.1.3.1.1.1.3.2.cmml" xref="S7.E20.m1.1.1.1.1.3.1.1.1.3.2">𝛼</ci><cn id="S7.E20.m1.1.1.1.1.3.1.1.1.3.3.cmml" type="integer" xref="S7.E20.m1.1.1.1.1.3.1.1.1.3.3">1</cn></apply></apply><ci id="S7.E20.m1.1.1.1.1.3.3.cmml" xref="S7.E20.m1.1.1.1.1.3.3">Δ</ci><apply id="S7.E20.m1.1.1.1.1.3.4.cmml" xref="S7.E20.m1.1.1.1.1.3.4"><csymbol cd="ambiguous" id="S7.E20.m1.1.1.1.1.3.4.1.cmml" xref="S7.E20.m1.1.1.1.1.3.4">subscript</csymbol><ci id="S7.E20.m1.1.1.1.1.3.4.2.cmml" xref="S7.E20.m1.1.1.1.1.3.4.2">𝐸</ci><cn id="S7.E20.m1.1.1.1.1.3.4.3.cmml" type="integer" xref="S7.E20.m1.1.1.1.1.3.4.3">12</cn></apply></apply></apply></annotation-xml><annotation encoding="application/x-tex" id="S7.E20.m1.1c">\frac{1}{M}\sum_{j}(\alpha_{1}^{2}-\alpha_{1})(y_{1j}-y_{2j})^{2}<(1-\alpha_{1% })\Delta E_{12}.</annotation><annotation encoding="application/x-llamapun" id="S7.E20.m1.1d">divide start_ARG 1 end_ARG start_ARG italic_M end_ARG ∑ start_POSTSUBSCRIPT italic_j end_POSTSUBSCRIPT ( italic_α start_POSTSUBSCRIPT 1 end_POSTSUBSCRIPT start_POSTSUPERSCRIPT 2 end_POSTSUPERSCRIPT - italic_α start_POSTSUBSCRIPT 1 end_POSTSUBSCRIPT ) ( italic_y start_POSTSUBSCRIPT 1 italic_j end_POSTSUBSCRIPT - italic_y start_POSTSUBSCRIPT 2 italic_j end_POSTSUBSCRIPT ) start_POSTSUPERSCRIPT 2 end_POSTSUPERSCRIPT < ( 1 - italic_α start_POSTSUBSCRIPT 1 end_POSTSUBSCRIPT ) roman_Δ italic_E start_POSTSUBSCRIPT 12 end_POSTSUBSCRIPT .</annotation></semantics></math></td> <td class="ltx_eqn_cell ltx_eqn_center_padright"></td> <td class="ltx_eqn_cell ltx_eqn_eqno ltx_align_middle ltx_align_right" rowspan="1">(20)</td> </tr></tbody> </table> Fig. <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S7.F7" title="Figure 7 ‣ 7.3 Ensembling NeRFs’ Outputs ‣ 7 Additional Details ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">7</a> pictures the upper bound dictated by <math alttext="\Delta E_{12}" class="ltx_Math" display="inline" id="S7.SS3.p1.10.m1.1"><semantics id="S7.SS3.p1.10.m1.1a"><mrow id="S7.SS3.p1.10.m1.1.1" xref="S7.SS3.p1.10.m1.1.1.cmml"><mi id="S7.SS3.p1.10.m1.1.1.2" mathvariant="normal" xref="S7.SS3.p1.10.m1.1.1.2.cmml">Δ</mi><mo id="S7.SS3.p1.10.m1.1.1.1" xref="S7.SS3.p1.10.m1.1.1.1.cmml">⁢</mo><msub id="S7.SS3.p1.10.m1.1.1.3" xref="S7.SS3.p1.10.m1.1.1.3.cmml"><mi id="S7.SS3.p1.10.m1.1.1.3.2" xref="S7.SS3.p1.10.m1.1.1.3.2.cmml">E</mi><mn id="S7.SS3.p1.10.m1.1.1.3.3" xref="S7.SS3.p1.10.m1.1.1.3.3.cmml">12</mn></msub></mrow><annotation-xml encoding="MathML-Content" id="S7.SS3.p1.10.m1.1b"><apply id="S7.SS3.p1.10.m1.1.1.cmml" xref="S7.SS3.p1.10.m1.1.1"><times id="S7.SS3.p1.10.m1.1.1.1.cmml" xref="S7.SS3.p1.10.m1.1.1.1"></times><ci id="S7.SS3.p1.10.m1.1.1.2.cmml" xref="S7.SS3.p1.10.m1.1.1.2">Δ</ci><apply id="S7.SS3.p1.10.m1.1.1.3.cmml" xref="S7.SS3.p1.10.m1.1.1.3"><csymbol cd="ambiguous" id="S7.SS3.p1.10.m1.1.1.3.1.cmml" xref="S7.SS3.p1.10.m1.1.1.3">subscript</csymbol><ci id="S7.SS3.p1.10.m1.1.1.3.2.cmml" xref="S7.SS3.p1.10.m1.1.1.3.2">𝐸</ci><cn id="S7.SS3.p1.10.m1.1.1.3.3.cmml" type="integer" xref="S7.SS3.p1.10.m1.1.1.3.3">12</cn></apply></apply></annotation-xml><annotation encoding="application/x-tex" id="S7.SS3.p1.10.m1.1c">\Delta E_{12}</annotation><annotation encoding="application/x-llamapun" id="S7.SS3.p1.10.m1.1d">roman_Δ italic_E start_POSTSUBSCRIPT 12 end_POSTSUBSCRIPT</annotation></semantics></math> such that (<a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S7.E20" title="Equation 20 ‣ 7.3 Ensembling NeRFs’ Outputs ‣ 7 Additional Details ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">20</a>) is verified. Given that for (<a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S7.E15" title="Equation 15 ‣ 7.3 Ensembling NeRFs’ Outputs ‣ 7 Additional Details ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">15</a>) we never stated which of the two models has the lowest error, evidently if <math alttext="\Delta E_{12}>0" class="ltx_Math" display="inline" id="S7.SS3.p1.11.m2.1"><semantics id="S7.SS3.p1.11.m2.1a"><mrow id="S7.SS3.p1.11.m2.1.1" xref="S7.SS3.p1.11.m2.1.1.cmml"><mrow id="S7.SS3.p1.11.m2.1.1.2" xref="S7.SS3.p1.11.m2.1.1.2.cmml"><mi id="S7.SS3.p1.11.m2.1.1.2.2" mathvariant="normal" xref="S7.SS3.p1.11.m2.1.1.2.2.cmml">Δ</mi><mo id="S7.SS3.p1.11.m2.1.1.2.1" xref="S7.SS3.p1.11.m2.1.1.2.1.cmml">⁢</mo><msub id="S7.SS3.p1.11.m2.1.1.2.3" xref="S7.SS3.p1.11.m2.1.1.2.3.cmml"><mi id="S7.SS3.p1.11.m2.1.1.2.3.2" xref="S7.SS3.p1.11.m2.1.1.2.3.2.cmml">E</mi><mn id="S7.SS3.p1.11.m2.1.1.2.3.3" xref="S7.SS3.p1.11.m2.1.1.2.3.3.cmml">12</mn></msub></mrow><mo id="S7.SS3.p1.11.m2.1.1.1" xref="S7.SS3.p1.11.m2.1.1.1.cmml">></mo><mn id="S7.SS3.p1.11.m2.1.1.3" xref="S7.SS3.p1.11.m2.1.1.3.cmml">0</mn></mrow><annotation-xml encoding="MathML-Content" id="S7.SS3.p1.11.m2.1b"><apply id="S7.SS3.p1.11.m2.1.1.cmml" xref="S7.SS3.p1.11.m2.1.1"><gt id="S7.SS3.p1.11.m2.1.1.1.cmml" xref="S7.SS3.p1.11.m2.1.1.1"></gt><apply id="S7.SS3.p1.11.m2.1.1.2.cmml" xref="S7.SS3.p1.11.m2.1.1.2"><times id="S7.SS3.p1.11.m2.1.1.2.1.cmml" xref="S7.SS3.p1.11.m2.1.1.2.1"></times><ci id="S7.SS3.p1.11.m2.1.1.2.2.cmml" xref="S7.SS3.p1.11.m2.1.1.2.2">Δ</ci><apply id="S7.SS3.p1.11.m2.1.1.2.3.cmml" xref="S7.SS3.p1.11.m2.1.1.2.3"><csymbol cd="ambiguous" id="S7.SS3.p1.11.m2.1.1.2.3.1.cmml" xref="S7.SS3.p1.11.m2.1.1.2.3">subscript</csymbol><ci id="S7.SS3.p1.11.m2.1.1.2.3.2.cmml" xref="S7.SS3.p1.11.m2.1.1.2.3.2">𝐸</ci><cn id="S7.SS3.p1.11.m2.1.1.2.3.3.cmml" type="integer" xref="S7.SS3.p1.11.m2.1.1.2.3.3">12</cn></apply></apply><cn id="S7.SS3.p1.11.m2.1.1.3.cmml" type="integer" xref="S7.SS3.p1.11.m2.1.1.3">0</cn></apply></annotation-xml><annotation encoding="application/x-tex" id="S7.SS3.p1.11.m2.1c">\Delta E_{12}>0</annotation><annotation encoding="application/x-llamapun" id="S7.SS3.p1.11.m2.1d">roman_Δ italic_E start_POSTSUBSCRIPT 12 end_POSTSUBSCRIPT > 0</annotation></semantics></math>, for <math alttext="\alpha_{1}<1" class="ltx_Math" display="inline" id="S7.SS3.p1.12.m3.1"><semantics id="S7.SS3.p1.12.m3.1a"><mrow id="S7.SS3.p1.12.m3.1.1" xref="S7.SS3.p1.12.m3.1.1.cmml"><msub id="S7.SS3.p1.12.m3.1.1.2" xref="S7.SS3.p1.12.m3.1.1.2.cmml"><mi id="S7.SS3.p1.12.m3.1.1.2.2" xref="S7.SS3.p1.12.m3.1.1.2.2.cmml">α</mi><mn id="S7.SS3.p1.12.m3.1.1.2.3" xref="S7.SS3.p1.12.m3.1.1.2.3.cmml">1</mn></msub><mo id="S7.SS3.p1.12.m3.1.1.1" xref="S7.SS3.p1.12.m3.1.1.1.cmml"><</mo><mn id="S7.SS3.p1.12.m3.1.1.3" xref="S7.SS3.p1.12.m3.1.1.3.cmml">1</mn></mrow><annotation-xml encoding="MathML-Content" id="S7.SS3.p1.12.m3.1b"><apply id="S7.SS3.p1.12.m3.1.1.cmml" xref="S7.SS3.p1.12.m3.1.1"><lt id="S7.SS3.p1.12.m3.1.1.1.cmml" xref="S7.SS3.p1.12.m3.1.1.1"></lt><apply id="S7.SS3.p1.12.m3.1.1.2.cmml" xref="S7.SS3.p1.12.m3.1.1.2"><csymbol cd="ambiguous" id="S7.SS3.p1.12.m3.1.1.2.1.cmml" xref="S7.SS3.p1.12.m3.1.1.2">subscript</csymbol><ci id="S7.SS3.p1.12.m3.1.1.2.2.cmml" xref="S7.SS3.p1.12.m3.1.1.2.2">𝛼</ci><cn id="S7.SS3.p1.12.m3.1.1.2.3.cmml" type="integer" xref="S7.SS3.p1.12.m3.1.1.2.3">1</cn></apply><cn id="S7.SS3.p1.12.m3.1.1.3.cmml" type="integer" xref="S7.SS3.p1.12.m3.1.1.3">1</cn></apply></annotation-xml><annotation encoding="application/x-tex" id="S7.SS3.p1.12.m3.1c">\alpha_{1}<1</annotation><annotation encoding="application/x-llamapun" id="S7.SS3.p1.12.m3.1d">italic_α start_POSTSUBSCRIPT 1 end_POSTSUBSCRIPT < 1</annotation></semantics></math> (<a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S7.E20" title="Equation 20 ‣ 7.3 Ensembling NeRFs’ Outputs ‣ 7 Additional Details ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">20</a>) is always verified. However, this is not anymore the case when <math alttext="\Delta E_{12}<0" class="ltx_Math" display="inline" id="S7.SS3.p1.13.m4.1"><semantics id="S7.SS3.p1.13.m4.1a"><mrow id="S7.SS3.p1.13.m4.1.1" xref="S7.SS3.p1.13.m4.1.1.cmml"><mrow id="S7.SS3.p1.13.m4.1.1.2" xref="S7.SS3.p1.13.m4.1.1.2.cmml"><mi id="S7.SS3.p1.13.m4.1.1.2.2" mathvariant="normal" xref="S7.SS3.p1.13.m4.1.1.2.2.cmml">Δ</mi><mo id="S7.SS3.p1.13.m4.1.1.2.1" xref="S7.SS3.p1.13.m4.1.1.2.1.cmml">⁢</mo><msub id="S7.SS3.p1.13.m4.1.1.2.3" xref="S7.SS3.p1.13.m4.1.1.2.3.cmml"><mi id="S7.SS3.p1.13.m4.1.1.2.3.2" xref="S7.SS3.p1.13.m4.1.1.2.3.2.cmml">E</mi><mn id="S7.SS3.p1.13.m4.1.1.2.3.3" xref="S7.SS3.p1.13.m4.1.1.2.3.3.cmml">12</mn></msub></mrow><mo id="S7.SS3.p1.13.m4.1.1.1" xref="S7.SS3.p1.13.m4.1.1.1.cmml"><</mo><mn id="S7.SS3.p1.13.m4.1.1.3" xref="S7.SS3.p1.13.m4.1.1.3.cmml">0</mn></mrow><annotation-xml encoding="MathML-Content" id="S7.SS3.p1.13.m4.1b"><apply id="S7.SS3.p1.13.m4.1.1.cmml" xref="S7.SS3.p1.13.m4.1.1"><lt id="S7.SS3.p1.13.m4.1.1.1.cmml" xref="S7.SS3.p1.13.m4.1.1.1"></lt><apply id="S7.SS3.p1.13.m4.1.1.2.cmml" xref="S7.SS3.p1.13.m4.1.1.2"><times id="S7.SS3.p1.13.m4.1.1.2.1.cmml" xref="S7.SS3.p1.13.m4.1.1.2.1"></times><ci id="S7.SS3.p1.13.m4.1.1.2.2.cmml" xref="S7.SS3.p1.13.m4.1.1.2.2">Δ</ci><apply id="S7.SS3.p1.13.m4.1.1.2.3.cmml" xref="S7.SS3.p1.13.m4.1.1.2.3"><csymbol cd="ambiguous" id="S7.SS3.p1.13.m4.1.1.2.3.1.cmml" xref="S7.SS3.p1.13.m4.1.1.2.3">subscript</csymbol><ci id="S7.SS3.p1.13.m4.1.1.2.3.2.cmml" xref="S7.SS3.p1.13.m4.1.1.2.3.2">𝐸</ci><cn id="S7.SS3.p1.13.m4.1.1.2.3.3.cmml" type="integer" xref="S7.SS3.p1.13.m4.1.1.2.3.3">12</cn></apply></apply><cn id="S7.SS3.p1.13.m4.1.1.3.cmml" type="integer" xref="S7.SS3.p1.13.m4.1.1.3">0</cn></apply></annotation-xml><annotation encoding="application/x-tex" id="S7.SS3.p1.13.m4.1c">\Delta E_{12}<0</annotation><annotation encoding="application/x-llamapun" id="S7.SS3.p1.13.m4.1d">roman_Δ italic_E start_POSTSUBSCRIPT 12 end_POSTSUBSCRIPT < 0</annotation></semantics></math>. In order to maximize the performance of the ensemble, we need to settle to the critical point of (<a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S7.E20" title="Equation 20 ‣ 7.3 Ensembling NeRFs’ Outputs ‣ 7 Additional Details ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">20</a>) (global maximum) with respect to <math alttext="\alpha_{1}" class="ltx_Math" display="inline" id="S7.SS3.p1.14.m5.1"><semantics id="S7.SS3.p1.14.m5.1a"><msub id="S7.SS3.p1.14.m5.1.1" xref="S7.SS3.p1.14.m5.1.1.cmml"><mi id="S7.SS3.p1.14.m5.1.1.2" xref="S7.SS3.p1.14.m5.1.1.2.cmml">α</mi><mn id="S7.SS3.p1.14.m5.1.1.3" xref="S7.SS3.p1.14.m5.1.1.3.cmml">1</mn></msub><annotation-xml encoding="MathML-Content" id="S7.SS3.p1.14.m5.1b"><apply id="S7.SS3.p1.14.m5.1.1.cmml" xref="S7.SS3.p1.14.m5.1.1"><csymbol cd="ambiguous" id="S7.SS3.p1.14.m5.1.1.1.cmml" xref="S7.SS3.p1.14.m5.1.1">subscript</csymbol><ci id="S7.SS3.p1.14.m5.1.1.2.cmml" xref="S7.SS3.p1.14.m5.1.1.2">𝛼</ci><cn id="S7.SS3.p1.14.m5.1.1.3.cmml" type="integer" xref="S7.SS3.p1.14.m5.1.1.3">1</cn></apply></annotation-xml><annotation encoding="application/x-tex" id="S7.SS3.p1.14.m5.1c">\alpha_{1}</annotation><annotation encoding="application/x-llamapun" id="S7.SS3.p1.14.m5.1d">italic_α start_POSTSUBSCRIPT 1 end_POSTSUBSCRIPT</annotation></semantics></math>, which is <table class="ltx_equation ltx_eqn_table" id="S7.E21"> <tbody><tr class="ltx_equation ltx_eqn_row ltx_align_baseline"> <td class="ltx_eqn_cell ltx_eqn_center_padleft"></td> <td class="ltx_eqn_cell ltx_align_center"><math alttext="\alpha_{1}=\frac{1-\Delta E_{12}}{2}." class="ltx_Math" display="block" id="S7.E21.m1.1"><semantics id="S7.E21.m1.1a"><mrow id="S7.E21.m1.1.1.1" xref="S7.E21.m1.1.1.1.1.cmml"><mrow id="S7.E21.m1.1.1.1.1" xref="S7.E21.m1.1.1.1.1.cmml"><msub id="S7.E21.m1.1.1.1.1.2" xref="S7.E21.m1.1.1.1.1.2.cmml"><mi id="S7.E21.m1.1.1.1.1.2.2" xref="S7.E21.m1.1.1.1.1.2.2.cmml">α</mi><mn id="S7.E21.m1.1.1.1.1.2.3" xref="S7.E21.m1.1.1.1.1.2.3.cmml">1</mn></msub><mo id="S7.E21.m1.1.1.1.1.1" xref="S7.E21.m1.1.1.1.1.1.cmml">=</mo><mfrac id="S7.E21.m1.1.1.1.1.3" xref="S7.E21.m1.1.1.1.1.3.cmml"><mrow id="S7.E21.m1.1.1.1.1.3.2" xref="S7.E21.m1.1.1.1.1.3.2.cmml"><mn id="S7.E21.m1.1.1.1.1.3.2.2" xref="S7.E21.m1.1.1.1.1.3.2.2.cmml">1</mn><mo id="S7.E21.m1.1.1.1.1.3.2.1" xref="S7.E21.m1.1.1.1.1.3.2.1.cmml">−</mo><mrow id="S7.E21.m1.1.1.1.1.3.2.3" xref="S7.E21.m1.1.1.1.1.3.2.3.cmml"><mi id="S7.E21.m1.1.1.1.1.3.2.3.2" mathvariant="normal" xref="S7.E21.m1.1.1.1.1.3.2.3.2.cmml">Δ</mi><mo id="S7.E21.m1.1.1.1.1.3.2.3.1" xref="S7.E21.m1.1.1.1.1.3.2.3.1.cmml">⁢</mo><msub id="S7.E21.m1.1.1.1.1.3.2.3.3" xref="S7.E21.m1.1.1.1.1.3.2.3.3.cmml"><mi id="S7.E21.m1.1.1.1.1.3.2.3.3.2" xref="S7.E21.m1.1.1.1.1.3.2.3.3.2.cmml">E</mi><mn id="S7.E21.m1.1.1.1.1.3.2.3.3.3" xref="S7.E21.m1.1.1.1.1.3.2.3.3.3.cmml">12</mn></msub></mrow></mrow><mn id="S7.E21.m1.1.1.1.1.3.3" xref="S7.E21.m1.1.1.1.1.3.3.cmml">2</mn></mfrac></mrow><mo id="S7.E21.m1.1.1.1.2" lspace="0em" xref="S7.E21.m1.1.1.1.1.cmml">.</mo></mrow><annotation-xml encoding="MathML-Content" id="S7.E21.m1.1b"><apply id="S7.E21.m1.1.1.1.1.cmml" xref="S7.E21.m1.1.1.1"><eq id="S7.E21.m1.1.1.1.1.1.cmml" xref="S7.E21.m1.1.1.1.1.1"></eq><apply id="S7.E21.m1.1.1.1.1.2.cmml" xref="S7.E21.m1.1.1.1.1.2"><csymbol cd="ambiguous" id="S7.E21.m1.1.1.1.1.2.1.cmml" xref="S7.E21.m1.1.1.1.1.2">subscript</csymbol><ci id="S7.E21.m1.1.1.1.1.2.2.cmml" xref="S7.E21.m1.1.1.1.1.2.2">𝛼</ci><cn id="S7.E21.m1.1.1.1.1.2.3.cmml" type="integer" xref="S7.E21.m1.1.1.1.1.2.3">1</cn></apply><apply id="S7.E21.m1.1.1.1.1.3.cmml" xref="S7.E21.m1.1.1.1.1.3"><divide id="S7.E21.m1.1.1.1.1.3.1.cmml" xref="S7.E21.m1.1.1.1.1.3"></divide><apply id="S7.E21.m1.1.1.1.1.3.2.cmml" xref="S7.E21.m1.1.1.1.1.3.2"><minus id="S7.E21.m1.1.1.1.1.3.2.1.cmml" xref="S7.E21.m1.1.1.1.1.3.2.1"></minus><cn id="S7.E21.m1.1.1.1.1.3.2.2.cmml" type="integer" xref="S7.E21.m1.1.1.1.1.3.2.2">1</cn><apply id="S7.E21.m1.1.1.1.1.3.2.3.cmml" xref="S7.E21.m1.1.1.1.1.3.2.3"><times id="S7.E21.m1.1.1.1.1.3.2.3.1.cmml" xref="S7.E21.m1.1.1.1.1.3.2.3.1"></times><ci id="S7.E21.m1.1.1.1.1.3.2.3.2.cmml" xref="S7.E21.m1.1.1.1.1.3.2.3.2">Δ</ci><apply id="S7.E21.m1.1.1.1.1.3.2.3.3.cmml" xref="S7.E21.m1.1.1.1.1.3.2.3.3"><csymbol cd="ambiguous" id="S7.E21.m1.1.1.1.1.3.2.3.3.1.cmml" xref="S7.E21.m1.1.1.1.1.3.2.3.3">subscript</csymbol><ci id="S7.E21.m1.1.1.1.1.3.2.3.3.2.cmml" xref="S7.E21.m1.1.1.1.1.3.2.3.3.2">𝐸</ci><cn id="S7.E21.m1.1.1.1.1.3.2.3.3.3.cmml" type="integer" xref="S7.E21.m1.1.1.1.1.3.2.3.3.3">12</cn></apply></apply></apply><cn id="S7.E21.m1.1.1.1.1.3.3.cmml" type="integer" xref="S7.E21.m1.1.1.1.1.3.3">2</cn></apply></apply></annotation-xml><annotation encoding="application/x-tex" id="S7.E21.m1.1c">\alpha_{1}=\frac{1-\Delta E_{12}}{2}.</annotation><annotation encoding="application/x-llamapun" id="S7.E21.m1.1d">italic_α start_POSTSUBSCRIPT 1 end_POSTSUBSCRIPT = divide start_ARG 1 - roman_Δ italic_E start_POSTSUBSCRIPT 12 end_POSTSUBSCRIPT end_ARG start_ARG 2 end_ARG .</annotation></semantics></math></td> <td class="ltx_eqn_cell ltx_eqn_center_padright"></td> <td class="ltx_eqn_cell ltx_eqn_eqno ltx_align_middle ltx_align_right" rowspan="1">(21)</td> </tr></tbody> </table> If we assume <math alttext="\Delta E_{12}" class="ltx_Math" display="inline" id="S7.SS3.p1.15.m1.1"><semantics id="S7.SS3.p1.15.m1.1a"><mrow id="S7.SS3.p1.15.m1.1.1" xref="S7.SS3.p1.15.m1.1.1.cmml"><mi id="S7.SS3.p1.15.m1.1.1.2" mathvariant="normal" xref="S7.SS3.p1.15.m1.1.1.2.cmml">Δ</mi><mo id="S7.SS3.p1.15.m1.1.1.1" xref="S7.SS3.p1.15.m1.1.1.1.cmml">⁢</mo><msub id="S7.SS3.p1.15.m1.1.1.3" xref="S7.SS3.p1.15.m1.1.1.3.cmml"><mi id="S7.SS3.p1.15.m1.1.1.3.2" xref="S7.SS3.p1.15.m1.1.1.3.2.cmml">E</mi><mn id="S7.SS3.p1.15.m1.1.1.3.3" xref="S7.SS3.p1.15.m1.1.1.3.3.cmml">12</mn></msub></mrow><annotation-xml encoding="MathML-Content" id="S7.SS3.p1.15.m1.1b"><apply id="S7.SS3.p1.15.m1.1.1.cmml" xref="S7.SS3.p1.15.m1.1.1"><times id="S7.SS3.p1.15.m1.1.1.1.cmml" xref="S7.SS3.p1.15.m1.1.1.1"></times><ci id="S7.SS3.p1.15.m1.1.1.2.cmml" xref="S7.SS3.p1.15.m1.1.1.2">Δ</ci><apply id="S7.SS3.p1.15.m1.1.1.3.cmml" xref="S7.SS3.p1.15.m1.1.1.3"><csymbol cd="ambiguous" id="S7.SS3.p1.15.m1.1.1.3.1.cmml" xref="S7.SS3.p1.15.m1.1.1.3">subscript</csymbol><ci id="S7.SS3.p1.15.m1.1.1.3.2.cmml" xref="S7.SS3.p1.15.m1.1.1.3.2">𝐸</ci><cn id="S7.SS3.p1.15.m1.1.1.3.3.cmml" type="integer" xref="S7.SS3.p1.15.m1.1.1.3.3">12</cn></apply></apply></annotation-xml><annotation encoding="application/x-tex" id="S7.SS3.p1.15.m1.1c">\Delta E_{12}</annotation><annotation encoding="application/x-llamapun" id="S7.SS3.p1.15.m1.1d">roman_Δ italic_E start_POSTSUBSCRIPT 12 end_POSTSUBSCRIPT</annotation></semantics></math> being distributed as a random variable with zero means (this is a realistic assumption as we never stated which of the two models performs the best), evidently the best solution is for <math alttext="\alpha_{1}=\frac{1}{2}" class="ltx_Math" display="inline" id="S7.SS3.p1.16.m2.1"><semantics id="S7.SS3.p1.16.m2.1a"><mrow id="S7.SS3.p1.16.m2.1.1" xref="S7.SS3.p1.16.m2.1.1.cmml"><msub id="S7.SS3.p1.16.m2.1.1.2" xref="S7.SS3.p1.16.m2.1.1.2.cmml"><mi id="S7.SS3.p1.16.m2.1.1.2.2" xref="S7.SS3.p1.16.m2.1.1.2.2.cmml">α</mi><mn id="S7.SS3.p1.16.m2.1.1.2.3" xref="S7.SS3.p1.16.m2.1.1.2.3.cmml">1</mn></msub><mo id="S7.SS3.p1.16.m2.1.1.1" xref="S7.SS3.p1.16.m2.1.1.1.cmml">=</mo><mfrac id="S7.SS3.p1.16.m2.1.1.3" xref="S7.SS3.p1.16.m2.1.1.3.cmml"><mn id="S7.SS3.p1.16.m2.1.1.3.2" xref="S7.SS3.p1.16.m2.1.1.3.2.cmml">1</mn><mn id="S7.SS3.p1.16.m2.1.1.3.3" xref="S7.SS3.p1.16.m2.1.1.3.3.cmml">2</mn></mfrac></mrow><annotation-xml encoding="MathML-Content" id="S7.SS3.p1.16.m2.1b"><apply id="S7.SS3.p1.16.m2.1.1.cmml" xref="S7.SS3.p1.16.m2.1.1"><eq id="S7.SS3.p1.16.m2.1.1.1.cmml" xref="S7.SS3.p1.16.m2.1.1.1"></eq><apply id="S7.SS3.p1.16.m2.1.1.2.cmml" xref="S7.SS3.p1.16.m2.1.1.2"><csymbol cd="ambiguous" id="S7.SS3.p1.16.m2.1.1.2.1.cmml" xref="S7.SS3.p1.16.m2.1.1.2">subscript</csymbol><ci id="S7.SS3.p1.16.m2.1.1.2.2.cmml" xref="S7.SS3.p1.16.m2.1.1.2.2">𝛼</ci><cn id="S7.SS3.p1.16.m2.1.1.2.3.cmml" type="integer" xref="S7.SS3.p1.16.m2.1.1.2.3">1</cn></apply><apply id="S7.SS3.p1.16.m2.1.1.3.cmml" xref="S7.SS3.p1.16.m2.1.1.3"><divide id="S7.SS3.p1.16.m2.1.1.3.1.cmml" xref="S7.SS3.p1.16.m2.1.1.3"></divide><cn id="S7.SS3.p1.16.m2.1.1.3.2.cmml" type="integer" xref="S7.SS3.p1.16.m2.1.1.3.2">1</cn><cn id="S7.SS3.p1.16.m2.1.1.3.3.cmml" type="integer" xref="S7.SS3.p1.16.m2.1.1.3.3">2</cn></apply></apply></annotation-xml><annotation encoding="application/x-tex" id="S7.SS3.p1.16.m2.1c">\alpha_{1}=\frac{1}{2}</annotation><annotation encoding="application/x-llamapun" id="S7.SS3.p1.16.m2.1d">italic_α start_POSTSUBSCRIPT 1 end_POSTSUBSCRIPT = divide start_ARG 1 end_ARG start_ARG 2 end_ARG</annotation></semantics></math>: Fig. <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S7.F8" title="Figure 8 ‣ 7.3 Ensembling NeRFs’ Outputs ‣ 7 Additional Details ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">8</a> graphically evidences this. </div> </section> </section> <section class="ltx_section" id="S8"> <h2 class="ltx_title ltx_title_section"> 8 Algorithm</h2> <div class="ltx_para" id="S8.p1"> We present an intuitive pseudo-algorithm outlining our Mixture of Experts framework. Our native implementation in PyTorch closely adheres to this algorithm. </div> <figure class="ltx_float ltx_float_algorithm ltx_framed ltx_framed_top" id="alg1"> <figcaption class="ltx_caption">Algorithm 1 Sparse MoE Trainining</figcaption> <div class="ltx_listing ltx_listing" id="alg1.3"> <div class="ltx_listingline" id="alg1.l1"> 1:<math alttext="D" class="ltx_Math" display="inline" id="alg1.l1.m1.1"><semantics id="alg1.l1.m1.1a"><mi id="alg1.l1.m1.1.1" xref="alg1.l1.m1.1.1.cmml">D</mi><annotation-xml encoding="MathML-Content" id="alg1.l1.m1.1b"><ci id="alg1.l1.m1.1.1.cmml" xref="alg1.l1.m1.1.1">𝐷</ci></annotation-xml><annotation encoding="application/x-tex" id="alg1.l1.m1.1c">D</annotation><annotation encoding="application/x-llamapun" id="alg1.l1.m1.1d">italic_D</annotation></semantics></math>: dataset, <math alttext="res" class="ltx_Math" display="inline" id="alg1.l1.m2.1"><semantics id="alg1.l1.m2.1a"><mrow id="alg1.l1.m2.1.1" xref="alg1.l1.m2.1.1.cmml"><mi id="alg1.l1.m2.1.1.2" xref="alg1.l1.m2.1.1.2.cmml">r</mi><mo id="alg1.l1.m2.1.1.1" xref="alg1.l1.m2.1.1.1.cmml">⁢</mo><mi id="alg1.l1.m2.1.1.3" xref="alg1.l1.m2.1.1.3.cmml">e</mi><mo id="alg1.l1.m2.1.1.1a" xref="alg1.l1.m2.1.1.1.cmml">⁢</mo><mi id="alg1.l1.m2.1.1.4" xref="alg1.l1.m2.1.1.4.cmml">s</mi></mrow><annotation-xml encoding="MathML-Content" id="alg1.l1.m2.1b"><apply id="alg1.l1.m2.1.1.cmml" xref="alg1.l1.m2.1.1"><times id="alg1.l1.m2.1.1.1.cmml" xref="alg1.l1.m2.1.1.1"></times><ci id="alg1.l1.m2.1.1.2.cmml" xref="alg1.l1.m2.1.1.2">𝑟</ci><ci id="alg1.l1.m2.1.1.3.cmml" xref="alg1.l1.m2.1.1.3">𝑒</ci><ci id="alg1.l1.m2.1.1.4.cmml" xref="alg1.l1.m2.1.1.4">𝑠</ci></apply></annotation-xml><annotation encoding="application/x-tex" id="alg1.l1.m2.1c">res</annotation><annotation encoding="application/x-llamapun" id="alg1.l1.m2.1d">italic_r italic_e italic_s</annotation></semantics></math>: resolution, <math alttext="l" class="ltx_Math" display="inline" id="alg1.l1.m3.1"><semantics id="alg1.l1.m3.1a"><mi id="alg1.l1.m3.1.1" xref="alg1.l1.m3.1.1.cmml">l</mi><annotation-xml encoding="MathML-Content" id="alg1.l1.m3.1b"><ci id="alg1.l1.m3.1.1.cmml" xref="alg1.l1.m3.1.1">𝑙</ci></annotation-xml><annotation encoding="application/x-tex" id="alg1.l1.m3.1c">l</annotation><annotation encoding="application/x-llamapun" id="alg1.l1.m3.1d">italic_l</annotation></semantics></math>: number of pre-training iterations, <math alttext="m" class="ltx_Math" display="inline" id="alg1.l1.m4.1"><semantics id="alg1.l1.m4.1a"><mi id="alg1.l1.m4.1.1" xref="alg1.l1.m4.1.1.cmml">m</mi><annotation-xml encoding="MathML-Content" id="alg1.l1.m4.1b"><ci id="alg1.l1.m4.1.1.cmml" xref="alg1.l1.m4.1.1">𝑚</ci></annotation-xml><annotation encoding="application/x-tex" id="alg1.l1.m4.1c">m</annotation><annotation encoding="application/x-llamapun" id="alg1.l1.m4.1d">italic_m</annotation></semantics></math>: number of training iterations, <math alttext="M" class="ltx_Math" display="inline" id="alg1.l1.m5.1"><semantics id="alg1.l1.m5.1a"><mi id="alg1.l1.m5.1.1" xref="alg1.l1.m5.1.1.cmml">M</mi><annotation-xml encoding="MathML-Content" id="alg1.l1.m5.1b"><ci id="alg1.l1.m5.1.1.cmml" xref="alg1.l1.m5.1.1">𝑀</ci></annotation-xml><annotation encoding="application/x-tex" id="alg1.l1.m5.1c">M</annotation><annotation encoding="application/x-llamapun" id="alg1.l1.m5.1d">italic_M</annotation></semantics></math>: number of experts in the mixture, <math alttext="k" class="ltx_Math" display="inline" id="alg1.l1.m6.1"><semantics id="alg1.l1.m6.1a"><mi id="alg1.l1.m6.1.1" xref="alg1.l1.m6.1.1.cmml">k</mi><annotation-xml encoding="MathML-Content" id="alg1.l1.m6.1b"><ci id="alg1.l1.m6.1.1.cmml" xref="alg1.l1.m6.1.1">𝑘</ci></annotation-xml><annotation encoding="application/x-tex" id="alg1.l1.m6.1c">k</annotation><annotation encoding="application/x-llamapun" id="alg1.l1.m6.1d">italic_k</annotation></semantics></math>: number of top points to select, <math alttext="\lambda" class="ltx_Math" display="inline" id="alg1.l1.m7.1"><semantics id="alg1.l1.m7.1a"><mi id="alg1.l1.m7.1.1" xref="alg1.l1.m7.1.1.cmml">λ</mi><annotation-xml encoding="MathML-Content" id="alg1.l1.m7.1b"><ci id="alg1.l1.m7.1.1.cmml" xref="alg1.l1.m7.1.1">𝜆</ci></annotation-xml><annotation encoding="application/x-tex" id="alg1.l1.m7.1c">\lambda</annotation><annotation encoding="application/x-llamapun" id="alg1.l1.m7.1d">italic_λ</annotation></semantics></math>: resolution-based aux-loss penalties, <math alttext="W" class="ltx_Math" display="inline" id="alg1.l1.m8.1"><semantics id="alg1.l1.m8.1a"><mi id="alg1.l1.m8.1.1" xref="alg1.l1.m8.1.1.cmml">W</mi><annotation-xml encoding="MathML-Content" id="alg1.l1.m8.1b"><ci id="alg1.l1.m8.1.1.cmml" xref="alg1.l1.m8.1.1">𝑊</ci></annotation-xml><annotation encoding="application/x-tex" id="alg1.l1.m8.1c">W</annotation><annotation encoding="application/x-llamapun" id="alg1.l1.m8.1d">italic_W</annotation></semantics></math>: aux-loss weights </div> <div class="ltx_listingline" id="alg1.l2"> 2:<math alttext="experts\leftarrow" class="ltx_Math" display="inline" id="alg1.l2.m1.1"><semantics id="alg1.l2.m1.1a"><mrow id="alg1.l2.m1.1.1" xref="alg1.l2.m1.1.1.cmml"><mrow id="alg1.l2.m1.1.1.2" xref="alg1.l2.m1.1.1.2.cmml"><mi id="alg1.l2.m1.1.1.2.2" xref="alg1.l2.m1.1.1.2.2.cmml">e</mi><mo id="alg1.l2.m1.1.1.2.1" xref="alg1.l2.m1.1.1.2.1.cmml">⁢</mo><mi id="alg1.l2.m1.1.1.2.3" xref="alg1.l2.m1.1.1.2.3.cmml">x</mi><mo id="alg1.l2.m1.1.1.2.1a" xref="alg1.l2.m1.1.1.2.1.cmml">⁢</mo><mi id="alg1.l2.m1.1.1.2.4" xref="alg1.l2.m1.1.1.2.4.cmml">p</mi><mo id="alg1.l2.m1.1.1.2.1b" xref="alg1.l2.m1.1.1.2.1.cmml">⁢</mo><mi id="alg1.l2.m1.1.1.2.5" xref="alg1.l2.m1.1.1.2.5.cmml">e</mi><mo id="alg1.l2.m1.1.1.2.1c" xref="alg1.l2.m1.1.1.2.1.cmml">⁢</mo><mi id="alg1.l2.m1.1.1.2.6" xref="alg1.l2.m1.1.1.2.6.cmml">r</mi><mo id="alg1.l2.m1.1.1.2.1d" xref="alg1.l2.m1.1.1.2.1.cmml">⁢</mo><mi id="alg1.l2.m1.1.1.2.7" xref="alg1.l2.m1.1.1.2.7.cmml">t</mi><mo id="alg1.l2.m1.1.1.2.1e" xref="alg1.l2.m1.1.1.2.1.cmml">⁢</mo><mi id="alg1.l2.m1.1.1.2.8" xref="alg1.l2.m1.1.1.2.8.cmml">s</mi></mrow><mo id="alg1.l2.m1.1.1.1" stretchy="false" xref="alg1.l2.m1.1.1.1.cmml">←</mo><mi id="alg1.l2.m1.1.1.3" xref="alg1.l2.m1.1.1.3.cmml"></mi></mrow><annotation-xml encoding="MathML-Content" id="alg1.l2.m1.1b"><apply id="alg1.l2.m1.1.1.cmml" xref="alg1.l2.m1.1.1"><ci id="alg1.l2.m1.1.1.1.cmml" xref="alg1.l2.m1.1.1.1">←</ci><apply id="alg1.l2.m1.1.1.2.cmml" xref="alg1.l2.m1.1.1.2"><times id="alg1.l2.m1.1.1.2.1.cmml" xref="alg1.l2.m1.1.1.2.1"></times><ci id="alg1.l2.m1.1.1.2.2.cmml" xref="alg1.l2.m1.1.1.2.2">𝑒</ci><ci id="alg1.l2.m1.1.1.2.3.cmml" xref="alg1.l2.m1.1.1.2.3">𝑥</ci><ci id="alg1.l2.m1.1.1.2.4.cmml" xref="alg1.l2.m1.1.1.2.4">𝑝</ci><ci id="alg1.l2.m1.1.1.2.5.cmml" xref="alg1.l2.m1.1.1.2.5">𝑒</ci><ci id="alg1.l2.m1.1.1.2.6.cmml" xref="alg1.l2.m1.1.1.2.6">𝑟</ci><ci id="alg1.l2.m1.1.1.2.7.cmml" xref="alg1.l2.m1.1.1.2.7">𝑡</ci><ci id="alg1.l2.m1.1.1.2.8.cmml" xref="alg1.l2.m1.1.1.2.8">𝑠</ci></apply><csymbol cd="latexml" id="alg1.l2.m1.1.1.3.cmml" xref="alg1.l2.m1.1.1.3">absent</csymbol></apply></annotation-xml><annotation encoding="application/x-tex" id="alg1.l2.m1.1c">experts\leftarrow</annotation><annotation encoding="application/x-llamapun" id="alg1.l2.m1.1d">italic_e italic_x italic_p italic_e italic_r italic_t italic_s ←</annotation></semantics></math> create_experts(<math alttext="res" class="ltx_Math" display="inline" id="alg1.l2.m2.1"><semantics id="alg1.l2.m2.1a"><mrow id="alg1.l2.m2.1.1" xref="alg1.l2.m2.1.1.cmml"><mi id="alg1.l2.m2.1.1.2" xref="alg1.l2.m2.1.1.2.cmml">r</mi><mo id="alg1.l2.m2.1.1.1" xref="alg1.l2.m2.1.1.1.cmml">⁢</mo><mi id="alg1.l2.m2.1.1.3" xref="alg1.l2.m2.1.1.3.cmml">e</mi><mo id="alg1.l2.m2.1.1.1a" xref="alg1.l2.m2.1.1.1.cmml">⁢</mo><mi id="alg1.l2.m2.1.1.4" xref="alg1.l2.m2.1.1.4.cmml">s</mi></mrow><annotation-xml encoding="MathML-Content" id="alg1.l2.m2.1b"><apply id="alg1.l2.m2.1.1.cmml" xref="alg1.l2.m2.1.1"><times id="alg1.l2.m2.1.1.1.cmml" xref="alg1.l2.m2.1.1.1"></times><ci id="alg1.l2.m2.1.1.2.cmml" xref="alg1.l2.m2.1.1.2">𝑟</ci><ci id="alg1.l2.m2.1.1.3.cmml" xref="alg1.l2.m2.1.1.3">𝑒</ci><ci id="alg1.l2.m2.1.1.4.cmml" xref="alg1.l2.m2.1.1.4">𝑠</ci></apply></annotation-xml><annotation encoding="application/x-tex" id="alg1.l2.m2.1c">res</annotation><annotation encoding="application/x-llamapun" id="alg1.l2.m2.1d">italic_r italic_e italic_s</annotation></semantics></math>) </div> <div class="ltx_listingline" id="alg1.l3"> 3:<math alttext="experts\leftarrow" class="ltx_Math" display="inline" id="alg1.l3.m1.1"><semantics id="alg1.l3.m1.1a"><mrow id="alg1.l3.m1.1.1" xref="alg1.l3.m1.1.1.cmml"><mrow id="alg1.l3.m1.1.1.2" xref="alg1.l3.m1.1.1.2.cmml"><mi id="alg1.l3.m1.1.1.2.2" xref="alg1.l3.m1.1.1.2.2.cmml">e</mi><mo id="alg1.l3.m1.1.1.2.1" xref="alg1.l3.m1.1.1.2.1.cmml">⁢</mo><mi id="alg1.l3.m1.1.1.2.3" xref="alg1.l3.m1.1.1.2.3.cmml">x</mi><mo id="alg1.l3.m1.1.1.2.1a" xref="alg1.l3.m1.1.1.2.1.cmml">⁢</mo><mi id="alg1.l3.m1.1.1.2.4" xref="alg1.l3.m1.1.1.2.4.cmml">p</mi><mo id="alg1.l3.m1.1.1.2.1b" xref="alg1.l3.m1.1.1.2.1.cmml">⁢</mo><mi id="alg1.l3.m1.1.1.2.5" xref="alg1.l3.m1.1.1.2.5.cmml">e</mi><mo id="alg1.l3.m1.1.1.2.1c" xref="alg1.l3.m1.1.1.2.1.cmml">⁢</mo><mi id="alg1.l3.m1.1.1.2.6" xref="alg1.l3.m1.1.1.2.6.cmml">r</mi><mo id="alg1.l3.m1.1.1.2.1d" xref="alg1.l3.m1.1.1.2.1.cmml">⁢</mo><mi id="alg1.l3.m1.1.1.2.7" xref="alg1.l3.m1.1.1.2.7.cmml">t</mi><mo id="alg1.l3.m1.1.1.2.1e" xref="alg1.l3.m1.1.1.2.1.cmml">⁢</mo><mi id="alg1.l3.m1.1.1.2.8" xref="alg1.l3.m1.1.1.2.8.cmml">s</mi></mrow><mo id="alg1.l3.m1.1.1.1" stretchy="false" xref="alg1.l3.m1.1.1.1.cmml">←</mo><mi id="alg1.l3.m1.1.1.3" xref="alg1.l3.m1.1.1.3.cmml"></mi></mrow><annotation-xml encoding="MathML-Content" id="alg1.l3.m1.1b"><apply id="alg1.l3.m1.1.1.cmml" xref="alg1.l3.m1.1.1"><ci id="alg1.l3.m1.1.1.1.cmml" xref="alg1.l3.m1.1.1.1">←</ci><apply id="alg1.l3.m1.1.1.2.cmml" xref="alg1.l3.m1.1.1.2"><times id="alg1.l3.m1.1.1.2.1.cmml" xref="alg1.l3.m1.1.1.2.1"></times><ci id="alg1.l3.m1.1.1.2.2.cmml" xref="alg1.l3.m1.1.1.2.2">𝑒</ci><ci id="alg1.l3.m1.1.1.2.3.cmml" xref="alg1.l3.m1.1.1.2.3">𝑥</ci><ci id="alg1.l3.m1.1.1.2.4.cmml" xref="alg1.l3.m1.1.1.2.4">𝑝</ci><ci id="alg1.l3.m1.1.1.2.5.cmml" xref="alg1.l3.m1.1.1.2.5">𝑒</ci><ci id="alg1.l3.m1.1.1.2.6.cmml" xref="alg1.l3.m1.1.1.2.6">𝑟</ci><ci id="alg1.l3.m1.1.1.2.7.cmml" xref="alg1.l3.m1.1.1.2.7">𝑡</ci><ci id="alg1.l3.m1.1.1.2.8.cmml" xref="alg1.l3.m1.1.1.2.8">𝑠</ci></apply><csymbol cd="latexml" id="alg1.l3.m1.1.1.3.cmml" xref="alg1.l3.m1.1.1.3">absent</csymbol></apply></annotation-xml><annotation encoding="application/x-tex" id="alg1.l3.m1.1c">experts\leftarrow</annotation><annotation encoding="application/x-llamapun" id="alg1.l3.m1.1d">italic_e italic_x italic_p italic_e italic_r italic_t italic_s ←</annotation></semantics></math> pre_train(<math alttext="experts" class="ltx_Math" display="inline" id="alg1.l3.m2.1"><semantics id="alg1.l3.m2.1a"><mrow id="alg1.l3.m2.1.1" xref="alg1.l3.m2.1.1.cmml"><mi id="alg1.l3.m2.1.1.2" xref="alg1.l3.m2.1.1.2.cmml">e</mi><mo id="alg1.l3.m2.1.1.1" xref="alg1.l3.m2.1.1.1.cmml">⁢</mo><mi id="alg1.l3.m2.1.1.3" xref="alg1.l3.m2.1.1.3.cmml">x</mi><mo id="alg1.l3.m2.1.1.1a" xref="alg1.l3.m2.1.1.1.cmml">⁢</mo><mi id="alg1.l3.m2.1.1.4" xref="alg1.l3.m2.1.1.4.cmml">p</mi><mo id="alg1.l3.m2.1.1.1b" xref="alg1.l3.m2.1.1.1.cmml">⁢</mo><mi id="alg1.l3.m2.1.1.5" xref="alg1.l3.m2.1.1.5.cmml">e</mi><mo id="alg1.l3.m2.1.1.1c" xref="alg1.l3.m2.1.1.1.cmml">⁢</mo><mi id="alg1.l3.m2.1.1.6" xref="alg1.l3.m2.1.1.6.cmml">r</mi><mo id="alg1.l3.m2.1.1.1d" xref="alg1.l3.m2.1.1.1.cmml">⁢</mo><mi id="alg1.l3.m2.1.1.7" xref="alg1.l3.m2.1.1.7.cmml">t</mi><mo id="alg1.l3.m2.1.1.1e" xref="alg1.l3.m2.1.1.1.cmml">⁢</mo><mi id="alg1.l3.m2.1.1.8" xref="alg1.l3.m2.1.1.8.cmml">s</mi></mrow><annotation-xml encoding="MathML-Content" id="alg1.l3.m2.1b"><apply id="alg1.l3.m2.1.1.cmml" xref="alg1.l3.m2.1.1"><times id="alg1.l3.m2.1.1.1.cmml" xref="alg1.l3.m2.1.1.1"></times><ci id="alg1.l3.m2.1.1.2.cmml" xref="alg1.l3.m2.1.1.2">𝑒</ci><ci id="alg1.l3.m2.1.1.3.cmml" xref="alg1.l3.m2.1.1.3">𝑥</ci><ci id="alg1.l3.m2.1.1.4.cmml" xref="alg1.l3.m2.1.1.4">𝑝</ci><ci id="alg1.l3.m2.1.1.5.cmml" xref="alg1.l3.m2.1.1.5">𝑒</ci><ci id="alg1.l3.m2.1.1.6.cmml" xref="alg1.l3.m2.1.1.6">𝑟</ci><ci id="alg1.l3.m2.1.1.7.cmml" xref="alg1.l3.m2.1.1.7">𝑡</ci><ci id="alg1.l3.m2.1.1.8.cmml" xref="alg1.l3.m2.1.1.8">𝑠</ci></apply></annotation-xml><annotation encoding="application/x-tex" id="alg1.l3.m2.1c">experts</annotation><annotation encoding="application/x-llamapun" id="alg1.l3.m2.1d">italic_e italic_x italic_p italic_e italic_r italic_t italic_s</annotation></semantics></math>, <math alttext="l" class="ltx_Math" display="inline" id="alg1.l3.m3.1"><semantics id="alg1.l3.m3.1a"><mi id="alg1.l3.m3.1.1" xref="alg1.l3.m3.1.1.cmml">l</mi><annotation-xml encoding="MathML-Content" id="alg1.l3.m3.1b"><ci id="alg1.l3.m3.1.1.cmml" xref="alg1.l3.m3.1.1">𝑙</ci></annotation-xml><annotation encoding="application/x-tex" id="alg1.l3.m3.1c">l</annotation><annotation encoding="application/x-llamapun" id="alg1.l3.m3.1d">italic_l</annotation></semantics></math>) </div> <div class="ltx_listingline" id="alg1.l4"> 4:<math alttext="gate\leftarrow" class="ltx_Math" display="inline" id="alg1.l4.m1.1"><semantics id="alg1.l4.m1.1a"><mrow id="alg1.l4.m1.1.1" xref="alg1.l4.m1.1.1.cmml"><mrow id="alg1.l4.m1.1.1.2" xref="alg1.l4.m1.1.1.2.cmml"><mi id="alg1.l4.m1.1.1.2.2" xref="alg1.l4.m1.1.1.2.2.cmml">g</mi><mo id="alg1.l4.m1.1.1.2.1" xref="alg1.l4.m1.1.1.2.1.cmml">⁢</mo><mi id="alg1.l4.m1.1.1.2.3" xref="alg1.l4.m1.1.1.2.3.cmml">a</mi><mo id="alg1.l4.m1.1.1.2.1a" xref="alg1.l4.m1.1.1.2.1.cmml">⁢</mo><mi id="alg1.l4.m1.1.1.2.4" xref="alg1.l4.m1.1.1.2.4.cmml">t</mi><mo id="alg1.l4.m1.1.1.2.1b" xref="alg1.l4.m1.1.1.2.1.cmml">⁢</mo><mi id="alg1.l4.m1.1.1.2.5" xref="alg1.l4.m1.1.1.2.5.cmml">e</mi></mrow><mo id="alg1.l4.m1.1.1.1" stretchy="false" xref="alg1.l4.m1.1.1.1.cmml">←</mo><mi id="alg1.l4.m1.1.1.3" xref="alg1.l4.m1.1.1.3.cmml"></mi></mrow><annotation-xml encoding="MathML-Content" id="alg1.l4.m1.1b"><apply id="alg1.l4.m1.1.1.cmml" xref="alg1.l4.m1.1.1"><ci id="alg1.l4.m1.1.1.1.cmml" xref="alg1.l4.m1.1.1.1">←</ci><apply id="alg1.l4.m1.1.1.2.cmml" xref="alg1.l4.m1.1.1.2"><times id="alg1.l4.m1.1.1.2.1.cmml" xref="alg1.l4.m1.1.1.2.1"></times><ci id="alg1.l4.m1.1.1.2.2.cmml" xref="alg1.l4.m1.1.1.2.2">𝑔</ci><ci id="alg1.l4.m1.1.1.2.3.cmml" xref="alg1.l4.m1.1.1.2.3">𝑎</ci><ci id="alg1.l4.m1.1.1.2.4.cmml" xref="alg1.l4.m1.1.1.2.4">𝑡</ci><ci id="alg1.l4.m1.1.1.2.5.cmml" xref="alg1.l4.m1.1.1.2.5">𝑒</ci></apply><csymbol cd="latexml" id="alg1.l4.m1.1.1.3.cmml" xref="alg1.l4.m1.1.1.3">absent</csymbol></apply></annotation-xml><annotation encoding="application/x-tex" id="alg1.l4.m1.1c">gate\leftarrow</annotation><annotation encoding="application/x-llamapun" id="alg1.l4.m1.1d">italic_g italic_a italic_t italic_e ←</annotation></semantics></math> create_gate() </div> <div class="ltx_listingline" id="alg1.l5"> 5:<math alttext="moe\leftarrow" class="ltx_Math" display="inline" id="alg1.l5.m1.1"><semantics id="alg1.l5.m1.1a"><mrow id="alg1.l5.m1.1.1" xref="alg1.l5.m1.1.1.cmml"><mrow id="alg1.l5.m1.1.1.2" xref="alg1.l5.m1.1.1.2.cmml"><mi id="alg1.l5.m1.1.1.2.2" xref="alg1.l5.m1.1.1.2.2.cmml">m</mi><mo id="alg1.l5.m1.1.1.2.1" xref="alg1.l5.m1.1.1.2.1.cmml">⁢</mo><mi id="alg1.l5.m1.1.1.2.3" xref="alg1.l5.m1.1.1.2.3.cmml">o</mi><mo id="alg1.l5.m1.1.1.2.1a" xref="alg1.l5.m1.1.1.2.1.cmml">⁢</mo><mi id="alg1.l5.m1.1.1.2.4" xref="alg1.l5.m1.1.1.2.4.cmml">e</mi></mrow><mo id="alg1.l5.m1.1.1.1" stretchy="false" xref="alg1.l5.m1.1.1.1.cmml">←</mo><mi id="alg1.l5.m1.1.1.3" xref="alg1.l5.m1.1.1.3.cmml"></mi></mrow><annotation-xml encoding="MathML-Content" id="alg1.l5.m1.1b"><apply id="alg1.l5.m1.1.1.cmml" xref="alg1.l5.m1.1.1"><ci id="alg1.l5.m1.1.1.1.cmml" xref="alg1.l5.m1.1.1.1">←</ci><apply id="alg1.l5.m1.1.1.2.cmml" xref="alg1.l5.m1.1.1.2"><times id="alg1.l5.m1.1.1.2.1.cmml" xref="alg1.l5.m1.1.1.2.1"></times><ci id="alg1.l5.m1.1.1.2.2.cmml" xref="alg1.l5.m1.1.1.2.2">𝑚</ci><ci id="alg1.l5.m1.1.1.2.3.cmml" xref="alg1.l5.m1.1.1.2.3">𝑜</ci><ci id="alg1.l5.m1.1.1.2.4.cmml" xref="alg1.l5.m1.1.1.2.4">𝑒</ci></apply><csymbol cd="latexml" id="alg1.l5.m1.1.1.3.cmml" xref="alg1.l5.m1.1.1.3">absent</csymbol></apply></annotation-xml><annotation encoding="application/x-tex" id="alg1.l5.m1.1c">moe\leftarrow</annotation><annotation encoding="application/x-llamapun" id="alg1.l5.m1.1d">italic_m italic_o italic_e ←</annotation></semantics></math> build_moe(<math alttext="experts" class="ltx_Math" display="inline" id="alg1.l5.m2.1"><semantics id="alg1.l5.m2.1a"><mrow id="alg1.l5.m2.1.1" xref="alg1.l5.m2.1.1.cmml"><mi id="alg1.l5.m2.1.1.2" xref="alg1.l5.m2.1.1.2.cmml">e</mi><mo id="alg1.l5.m2.1.1.1" xref="alg1.l5.m2.1.1.1.cmml">⁢</mo><mi id="alg1.l5.m2.1.1.3" xref="alg1.l5.m2.1.1.3.cmml">x</mi><mo id="alg1.l5.m2.1.1.1a" xref="alg1.l5.m2.1.1.1.cmml">⁢</mo><mi id="alg1.l5.m2.1.1.4" xref="alg1.l5.m2.1.1.4.cmml">p</mi><mo id="alg1.l5.m2.1.1.1b" xref="alg1.l5.m2.1.1.1.cmml">⁢</mo><mi id="alg1.l5.m2.1.1.5" xref="alg1.l5.m2.1.1.5.cmml">e</mi><mo id="alg1.l5.m2.1.1.1c" xref="alg1.l5.m2.1.1.1.cmml">⁢</mo><mi id="alg1.l5.m2.1.1.6" xref="alg1.l5.m2.1.1.6.cmml">r</mi><mo id="alg1.l5.m2.1.1.1d" xref="alg1.l5.m2.1.1.1.cmml">⁢</mo><mi id="alg1.l5.m2.1.1.7" xref="alg1.l5.m2.1.1.7.cmml">t</mi><mo id="alg1.l5.m2.1.1.1e" xref="alg1.l5.m2.1.1.1.cmml">⁢</mo><mi id="alg1.l5.m2.1.1.8" xref="alg1.l5.m2.1.1.8.cmml">s</mi></mrow><annotation-xml encoding="MathML-Content" id="alg1.l5.m2.1b"><apply id="alg1.l5.m2.1.1.cmml" xref="alg1.l5.m2.1.1"><times id="alg1.l5.m2.1.1.1.cmml" xref="alg1.l5.m2.1.1.1"></times><ci id="alg1.l5.m2.1.1.2.cmml" xref="alg1.l5.m2.1.1.2">𝑒</ci><ci id="alg1.l5.m2.1.1.3.cmml" xref="alg1.l5.m2.1.1.3">𝑥</ci><ci id="alg1.l5.m2.1.1.4.cmml" xref="alg1.l5.m2.1.1.4">𝑝</ci><ci id="alg1.l5.m2.1.1.5.cmml" xref="alg1.l5.m2.1.1.5">𝑒</ci><ci id="alg1.l5.m2.1.1.6.cmml" xref="alg1.l5.m2.1.1.6">𝑟</ci><ci id="alg1.l5.m2.1.1.7.cmml" xref="alg1.l5.m2.1.1.7">𝑡</ci><ci id="alg1.l5.m2.1.1.8.cmml" xref="alg1.l5.m2.1.1.8">𝑠</ci></apply></annotation-xml><annotation encoding="application/x-tex" id="alg1.l5.m2.1c">experts</annotation><annotation encoding="application/x-llamapun" id="alg1.l5.m2.1d">italic_e italic_x italic_p italic_e italic_r italic_t italic_s</annotation></semantics></math>, <math alttext="gate" class="ltx_Math" display="inline" id="alg1.l5.m3.1"><semantics id="alg1.l5.m3.1a"><mrow id="alg1.l5.m3.1.1" xref="alg1.l5.m3.1.1.cmml"><mi id="alg1.l5.m3.1.1.2" xref="alg1.l5.m3.1.1.2.cmml">g</mi><mo id="alg1.l5.m3.1.1.1" xref="alg1.l5.m3.1.1.1.cmml">⁢</mo><mi id="alg1.l5.m3.1.1.3" xref="alg1.l5.m3.1.1.3.cmml">a</mi><mo id="alg1.l5.m3.1.1.1a" xref="alg1.l5.m3.1.1.1.cmml">⁢</mo><mi id="alg1.l5.m3.1.1.4" xref="alg1.l5.m3.1.1.4.cmml">t</mi><mo id="alg1.l5.m3.1.1.1b" xref="alg1.l5.m3.1.1.1.cmml">⁢</mo><mi id="alg1.l5.m3.1.1.5" xref="alg1.l5.m3.1.1.5.cmml">e</mi></mrow><annotation-xml encoding="MathML-Content" id="alg1.l5.m3.1b"><apply id="alg1.l5.m3.1.1.cmml" xref="alg1.l5.m3.1.1"><times id="alg1.l5.m3.1.1.1.cmml" xref="alg1.l5.m3.1.1.1"></times><ci id="alg1.l5.m3.1.1.2.cmml" xref="alg1.l5.m3.1.1.2">𝑔</ci><ci id="alg1.l5.m3.1.1.3.cmml" xref="alg1.l5.m3.1.1.3">𝑎</ci><ci id="alg1.l5.m3.1.1.4.cmml" xref="alg1.l5.m3.1.1.4">𝑡</ci><ci id="alg1.l5.m3.1.1.5.cmml" xref="alg1.l5.m3.1.1.5">𝑒</ci></apply></annotation-xml><annotation encoding="application/x-tex" id="alg1.l5.m3.1c">gate</annotation><annotation encoding="application/x-llamapun" id="alg1.l5.m3.1d">italic_g italic_a italic_t italic_e</annotation></semantics></math>) </div> <div class="ltx_listingline" id="alg1.l6"> 6:for <math alttext="i\leftarrow 1" class="ltx_Math" display="inline" id="alg1.l6.m1.1"><semantics id="alg1.l6.m1.1a"><mrow id="alg1.l6.m1.1.1" xref="alg1.l6.m1.1.1.cmml"><mi id="alg1.l6.m1.1.1.2" xref="alg1.l6.m1.1.1.2.cmml">i</mi><mo id="alg1.l6.m1.1.1.1" stretchy="false" xref="alg1.l6.m1.1.1.1.cmml">←</mo><mn id="alg1.l6.m1.1.1.3" xref="alg1.l6.m1.1.1.3.cmml">1</mn></mrow><annotation-xml encoding="MathML-Content" id="alg1.l6.m1.1b"><apply id="alg1.l6.m1.1.1.cmml" xref="alg1.l6.m1.1.1"><ci id="alg1.l6.m1.1.1.1.cmml" xref="alg1.l6.m1.1.1.1">←</ci><ci id="alg1.l6.m1.1.1.2.cmml" xref="alg1.l6.m1.1.1.2">𝑖</ci><cn id="alg1.l6.m1.1.1.3.cmml" type="integer" xref="alg1.l6.m1.1.1.3">1</cn></apply></annotation-xml><annotation encoding="application/x-tex" id="alg1.l6.m1.1c">i\leftarrow 1</annotation><annotation encoding="application/x-llamapun" id="alg1.l6.m1.1d">italic_i ← 1</annotation></semantics></math> to <math alttext="m" class="ltx_Math" display="inline" id="alg1.l6.m2.1"><semantics id="alg1.l6.m2.1a"><mi id="alg1.l6.m2.1.1" xref="alg1.l6.m2.1.1.cmml">m</mi><annotation-xml encoding="MathML-Content" id="alg1.l6.m2.1b"><ci id="alg1.l6.m2.1.1.cmml" xref="alg1.l6.m2.1.1">𝑚</ci></annotation-xml><annotation encoding="application/x-tex" id="alg1.l6.m2.1c">m</annotation><annotation encoding="application/x-llamapun" id="alg1.l6.m2.1d">italic_m</annotation></semantics></math> do </div> <div class="ltx_listingline" id="alg1.l7"> 7: <math alttext="\mathbf{o}" class="ltx_Math" display="inline" id="alg1.l7.m1.1"><semantics id="alg1.l7.m1.1a"><mi id="alg1.l7.m1.1.1" xref="alg1.l7.m1.1.1.cmml">𝐨</mi><annotation-xml encoding="MathML-Content" id="alg1.l7.m1.1b"><ci id="alg1.l7.m1.1.1.cmml" xref="alg1.l7.m1.1.1">𝐨</ci></annotation-xml><annotation encoding="application/x-tex" id="alg1.l7.m1.1c">\mathbf{o}</annotation><annotation encoding="application/x-llamapun" id="alg1.l7.m1.1d">bold_o</annotation></semantics></math>, <math alttext="\mathbf{d}" class="ltx_Math" display="inline" id="alg1.l7.m2.1"><semantics id="alg1.l7.m2.1a"><mi id="alg1.l7.m2.1.1" xref="alg1.l7.m2.1.1.cmml">𝐝</mi><annotation-xml encoding="MathML-Content" id="alg1.l7.m2.1b"><ci id="alg1.l7.m2.1.1.cmml" xref="alg1.l7.m2.1.1">𝐝</ci></annotation-xml><annotation encoding="application/x-tex" id="alg1.l7.m2.1c">\mathbf{d}</annotation><annotation encoding="application/x-llamapun" id="alg1.l7.m2.1d">bold_d</annotation></semantics></math>, <math alttext="\mathbf{rgb}\leftarrow" class="ltx_Math" display="inline" id="alg1.l7.m3.1"><semantics id="alg1.l7.m3.1a"><mrow id="alg1.l7.m3.1.1" xref="alg1.l7.m3.1.1.cmml"><mi id="alg1.l7.m3.1.1.2" xref="alg1.l7.m3.1.1.2.cmml">𝐫𝐠𝐛</mi><mo id="alg1.l7.m3.1.1.1" stretchy="false" xref="alg1.l7.m3.1.1.1.cmml">←</mo><mi id="alg1.l7.m3.1.1.3" xref="alg1.l7.m3.1.1.3.cmml"></mi></mrow><annotation-xml encoding="MathML-Content" id="alg1.l7.m3.1b"><apply id="alg1.l7.m3.1.1.cmml" xref="alg1.l7.m3.1.1"><ci id="alg1.l7.m3.1.1.1.cmml" xref="alg1.l7.m3.1.1.1">←</ci><ci id="alg1.l7.m3.1.1.2.cmml" xref="alg1.l7.m3.1.1.2">𝐫𝐠𝐛</ci><csymbol cd="latexml" id="alg1.l7.m3.1.1.3.cmml" xref="alg1.l7.m3.1.1.3">absent</csymbol></apply></annotation-xml><annotation encoding="application/x-tex" id="alg1.l7.m3.1c">\mathbf{rgb}\leftarrow</annotation><annotation encoding="application/x-llamapun" id="alg1.l7.m3.1d">bold_rgb ←</annotation></semantics></math> batch(<math alttext="D" class="ltx_Math" display="inline" id="alg1.l7.m4.1"><semantics id="alg1.l7.m4.1a"><mi id="alg1.l7.m4.1.1" xref="alg1.l7.m4.1.1.cmml">D</mi><annotation-xml encoding="MathML-Content" id="alg1.l7.m4.1b"><ci id="alg1.l7.m4.1.1.cmml" xref="alg1.l7.m4.1.1">𝐷</ci></annotation-xml><annotation encoding="application/x-tex" id="alg1.l7.m4.1c">D</annotation><annotation encoding="application/x-llamapun" id="alg1.l7.m4.1d">italic_D</annotation></semantics></math>) </div> <div class="ltx_listingline" id="alg1.l8"> 8: <math alttext="\mathbf{x}\leftarrow" class="ltx_Math" display="inline" id="alg1.l8.m1.1"><semantics id="alg1.l8.m1.1a"><mrow id="alg1.l8.m1.1.1" xref="alg1.l8.m1.1.1.cmml"><mi id="alg1.l8.m1.1.1.2" xref="alg1.l8.m1.1.1.2.cmml">𝐱</mi><mo id="alg1.l8.m1.1.1.1" stretchy="false" xref="alg1.l8.m1.1.1.1.cmml">←</mo><mi id="alg1.l8.m1.1.1.3" xref="alg1.l8.m1.1.1.3.cmml"></mi></mrow><annotation-xml encoding="MathML-Content" id="alg1.l8.m1.1b"><apply id="alg1.l8.m1.1.1.cmml" xref="alg1.l8.m1.1.1"><ci id="alg1.l8.m1.1.1.1.cmml" xref="alg1.l8.m1.1.1.1">←</ci><ci id="alg1.l8.m1.1.1.2.cmml" xref="alg1.l8.m1.1.1.2">𝐱</ci><csymbol cd="latexml" id="alg1.l8.m1.1.1.3.cmml" xref="alg1.l8.m1.1.1.3">absent</csymbol></apply></annotation-xml><annotation encoding="application/x-tex" id="alg1.l8.m1.1c">\mathbf{x}\leftarrow</annotation><annotation encoding="application/x-llamapun" id="alg1.l8.m1.1d">bold_x ←</annotation></semantics></math> sample_and_filter_points(<math alttext="\mathbf{o}" class="ltx_Math" display="inline" id="alg1.l8.m2.1"><semantics id="alg1.l8.m2.1a"><mi id="alg1.l8.m2.1.1" xref="alg1.l8.m2.1.1.cmml">𝐨</mi><annotation-xml encoding="MathML-Content" id="alg1.l8.m2.1b"><ci id="alg1.l8.m2.1.1.cmml" xref="alg1.l8.m2.1.1">𝐨</ci></annotation-xml><annotation encoding="application/x-tex" id="alg1.l8.m2.1c">\mathbf{o}</annotation><annotation encoding="application/x-llamapun" id="alg1.l8.m2.1d">bold_o</annotation></semantics></math>, <math alttext="\mathbf{d}" class="ltx_Math" display="inline" id="alg1.l8.m3.1"><semantics id="alg1.l8.m3.1a"><mi id="alg1.l8.m3.1.1" xref="alg1.l8.m3.1.1.cmml">𝐝</mi><annotation-xml encoding="MathML-Content" id="alg1.l8.m3.1b"><ci id="alg1.l8.m3.1.1.cmml" xref="alg1.l8.m3.1.1">𝐝</ci></annotation-xml><annotation encoding="application/x-tex" id="alg1.l8.m3.1c">\mathbf{d}</annotation><annotation encoding="application/x-llamapun" id="alg1.l8.m3.1d">bold_d</annotation></semantics></math>) </div> <div class="ltx_listingline" id="alg1.l9"> 9: <math alttext="G(\mathbf{x})\leftarrow" class="ltx_Math" display="inline" id="alg1.l9.m1.1"><semantics id="alg1.l9.m1.1a"><mrow id="alg1.l9.m1.1.2" xref="alg1.l9.m1.1.2.cmml"><mrow id="alg1.l9.m1.1.2.2" xref="alg1.l9.m1.1.2.2.cmml"><mi id="alg1.l9.m1.1.2.2.2" xref="alg1.l9.m1.1.2.2.2.cmml">G</mi><mo id="alg1.l9.m1.1.2.2.1" xref="alg1.l9.m1.1.2.2.1.cmml">⁢</mo><mrow id="alg1.l9.m1.1.2.2.3.2" xref="alg1.l9.m1.1.2.2.cmml"><mo id="alg1.l9.m1.1.2.2.3.2.1" stretchy="false" xref="alg1.l9.m1.1.2.2.cmml">(</mo><mi id="alg1.l9.m1.1.1" xref="alg1.l9.m1.1.1.cmml">𝐱</mi><mo id="alg1.l9.m1.1.2.2.3.2.2" stretchy="false" xref="alg1.l9.m1.1.2.2.cmml">)</mo></mrow></mrow><mo id="alg1.l9.m1.1.2.1" stretchy="false" xref="alg1.l9.m1.1.2.1.cmml">←</mo><mi id="alg1.l9.m1.1.2.3" xref="alg1.l9.m1.1.2.3.cmml"></mi></mrow><annotation-xml encoding="MathML-Content" id="alg1.l9.m1.1b"><apply id="alg1.l9.m1.1.2.cmml" xref="alg1.l9.m1.1.2"><ci id="alg1.l9.m1.1.2.1.cmml" xref="alg1.l9.m1.1.2.1">←</ci><apply id="alg1.l9.m1.1.2.2.cmml" xref="alg1.l9.m1.1.2.2"><times id="alg1.l9.m1.1.2.2.1.cmml" xref="alg1.l9.m1.1.2.2.1"></times><ci id="alg1.l9.m1.1.2.2.2.cmml" xref="alg1.l9.m1.1.2.2.2">𝐺</ci><ci id="alg1.l9.m1.1.1.cmml" xref="alg1.l9.m1.1.1">𝐱</ci></apply><csymbol cd="latexml" id="alg1.l9.m1.1.2.3.cmml" xref="alg1.l9.m1.1.2.3">absent</csymbol></apply></annotation-xml><annotation encoding="application/x-tex" id="alg1.l9.m1.1c">G(\mathbf{x})\leftarrow</annotation><annotation encoding="application/x-llamapun" id="alg1.l9.m1.1d">italic_G ( bold_x ) ←</annotation></semantics></math> <math alttext="gate(\mathbf{x})" class="ltx_Math" display="inline" id="alg1.l9.m2.1"><semantics id="alg1.l9.m2.1a"><mrow id="alg1.l9.m2.1.2" xref="alg1.l9.m2.1.2.cmml"><mi id="alg1.l9.m2.1.2.2" xref="alg1.l9.m2.1.2.2.cmml">g</mi><mo id="alg1.l9.m2.1.2.1" xref="alg1.l9.m2.1.2.1.cmml">⁢</mo><mi id="alg1.l9.m2.1.2.3" xref="alg1.l9.m2.1.2.3.cmml">a</mi><mo id="alg1.l9.m2.1.2.1a" xref="alg1.l9.m2.1.2.1.cmml">⁢</mo><mi id="alg1.l9.m2.1.2.4" xref="alg1.l9.m2.1.2.4.cmml">t</mi><mo id="alg1.l9.m2.1.2.1b" xref="alg1.l9.m2.1.2.1.cmml">⁢</mo><mi id="alg1.l9.m2.1.2.5" xref="alg1.l9.m2.1.2.5.cmml">e</mi><mo id="alg1.l9.m2.1.2.1c" xref="alg1.l9.m2.1.2.1.cmml">⁢</mo><mrow id="alg1.l9.m2.1.2.6.2" xref="alg1.l9.m2.1.2.cmml"><mo id="alg1.l9.m2.1.2.6.2.1" stretchy="false" xref="alg1.l9.m2.1.2.cmml">(</mo><mi id="alg1.l9.m2.1.1" xref="alg1.l9.m2.1.1.cmml">𝐱</mi><mo id="alg1.l9.m2.1.2.6.2.2" stretchy="false" xref="alg1.l9.m2.1.2.cmml">)</mo></mrow></mrow><annotation-xml encoding="MathML-Content" id="alg1.l9.m2.1b"><apply id="alg1.l9.m2.1.2.cmml" xref="alg1.l9.m2.1.2"><times id="alg1.l9.m2.1.2.1.cmml" xref="alg1.l9.m2.1.2.1"></times><ci id="alg1.l9.m2.1.2.2.cmml" xref="alg1.l9.m2.1.2.2">𝑔</ci><ci id="alg1.l9.m2.1.2.3.cmml" xref="alg1.l9.m2.1.2.3">𝑎</ci><ci id="alg1.l9.m2.1.2.4.cmml" xref="alg1.l9.m2.1.2.4">𝑡</ci><ci id="alg1.l9.m2.1.2.5.cmml" xref="alg1.l9.m2.1.2.5">𝑒</ci><ci id="alg1.l9.m2.1.1.cmml" xref="alg1.l9.m2.1.1">𝐱</ci></apply></annotation-xml><annotation encoding="application/x-tex" id="alg1.l9.m2.1c">gate(\mathbf{x})</annotation><annotation encoding="application/x-llamapun" id="alg1.l9.m2.1d">italic_g italic_a italic_t italic_e ( bold_x )</annotation></semantics></math> </div> <div class="ltx_listingline" id="alg1.l10"> 10: <math alttext="topk\_idx" class="ltx_Math" display="inline" id="alg1.l10.m1.1"><semantics id="alg1.l10.m1.1a"><mrow id="alg1.l10.m1.1.1" xref="alg1.l10.m1.1.1.cmml"><mi id="alg1.l10.m1.1.1.2" xref="alg1.l10.m1.1.1.2.cmml">t</mi><mo id="alg1.l10.m1.1.1.1" xref="alg1.l10.m1.1.1.1.cmml">⁢</mo><mi id="alg1.l10.m1.1.1.3" xref="alg1.l10.m1.1.1.3.cmml">o</mi><mo id="alg1.l10.m1.1.1.1a" xref="alg1.l10.m1.1.1.1.cmml">⁢</mo><mi id="alg1.l10.m1.1.1.4" xref="alg1.l10.m1.1.1.4.cmml">p</mi><mo id="alg1.l10.m1.1.1.1b" xref="alg1.l10.m1.1.1.1.cmml">⁢</mo><mi id="alg1.l10.m1.1.1.5" xref="alg1.l10.m1.1.1.5.cmml">k</mi><mo id="alg1.l10.m1.1.1.1c" xref="alg1.l10.m1.1.1.1.cmml">⁢</mo><mi id="alg1.l10.m1.1.1.6" mathvariant="normal" xref="alg1.l10.m1.1.1.6.cmml">_</mi><mo id="alg1.l10.m1.1.1.1d" xref="alg1.l10.m1.1.1.1.cmml">⁢</mo><mi id="alg1.l10.m1.1.1.7" xref="alg1.l10.m1.1.1.7.cmml">i</mi><mo id="alg1.l10.m1.1.1.1e" xref="alg1.l10.m1.1.1.1.cmml">⁢</mo><mi id="alg1.l10.m1.1.1.8" xref="alg1.l10.m1.1.1.8.cmml">d</mi><mo id="alg1.l10.m1.1.1.1f" xref="alg1.l10.m1.1.1.1.cmml">⁢</mo><mi id="alg1.l10.m1.1.1.9" xref="alg1.l10.m1.1.1.9.cmml">x</mi></mrow><annotation-xml encoding="MathML-Content" id="alg1.l10.m1.1b"><apply id="alg1.l10.m1.1.1.cmml" xref="alg1.l10.m1.1.1"><times id="alg1.l10.m1.1.1.1.cmml" xref="alg1.l10.m1.1.1.1"></times><ci id="alg1.l10.m1.1.1.2.cmml" xref="alg1.l10.m1.1.1.2">𝑡</ci><ci id="alg1.l10.m1.1.1.3.cmml" xref="alg1.l10.m1.1.1.3">𝑜</ci><ci id="alg1.l10.m1.1.1.4.cmml" xref="alg1.l10.m1.1.1.4">𝑝</ci><ci id="alg1.l10.m1.1.1.5.cmml" xref="alg1.l10.m1.1.1.5">𝑘</ci><ci id="alg1.l10.m1.1.1.6.cmml" xref="alg1.l10.m1.1.1.6">_</ci><ci id="alg1.l10.m1.1.1.7.cmml" xref="alg1.l10.m1.1.1.7">𝑖</ci><ci id="alg1.l10.m1.1.1.8.cmml" xref="alg1.l10.m1.1.1.8">𝑑</ci><ci id="alg1.l10.m1.1.1.9.cmml" xref="alg1.l10.m1.1.1.9">𝑥</ci></apply></annotation-xml><annotation encoding="application/x-tex" id="alg1.l10.m1.1c">topk\_idx</annotation><annotation encoding="application/x-llamapun" id="alg1.l10.m1.1d">italic_t italic_o italic_p italic_k _ italic_i italic_d italic_x</annotation></semantics></math>, <math alttext="topk\_vals\leftarrow" class="ltx_Math" display="inline" id="alg1.l10.m2.1"><semantics id="alg1.l10.m2.1a"><mrow id="alg1.l10.m2.1.1" xref="alg1.l10.m2.1.1.cmml"><mrow id="alg1.l10.m2.1.1.2" xref="alg1.l10.m2.1.1.2.cmml"><mi id="alg1.l10.m2.1.1.2.2" xref="alg1.l10.m2.1.1.2.2.cmml">t</mi><mo id="alg1.l10.m2.1.1.2.1" xref="alg1.l10.m2.1.1.2.1.cmml">⁢</mo><mi id="alg1.l10.m2.1.1.2.3" xref="alg1.l10.m2.1.1.2.3.cmml">o</mi><mo id="alg1.l10.m2.1.1.2.1a" xref="alg1.l10.m2.1.1.2.1.cmml">⁢</mo><mi id="alg1.l10.m2.1.1.2.4" xref="alg1.l10.m2.1.1.2.4.cmml">p</mi><mo id="alg1.l10.m2.1.1.2.1b" xref="alg1.l10.m2.1.1.2.1.cmml">⁢</mo><mi id="alg1.l10.m2.1.1.2.5" xref="alg1.l10.m2.1.1.2.5.cmml">k</mi><mo id="alg1.l10.m2.1.1.2.1c" xref="alg1.l10.m2.1.1.2.1.cmml">⁢</mo><mi id="alg1.l10.m2.1.1.2.6" mathvariant="normal" xref="alg1.l10.m2.1.1.2.6.cmml">_</mi><mo id="alg1.l10.m2.1.1.2.1d" xref="alg1.l10.m2.1.1.2.1.cmml">⁢</mo><mi id="alg1.l10.m2.1.1.2.7" xref="alg1.l10.m2.1.1.2.7.cmml">v</mi><mo id="alg1.l10.m2.1.1.2.1e" xref="alg1.l10.m2.1.1.2.1.cmml">⁢</mo><mi id="alg1.l10.m2.1.1.2.8" xref="alg1.l10.m2.1.1.2.8.cmml">a</mi><mo id="alg1.l10.m2.1.1.2.1f" xref="alg1.l10.m2.1.1.2.1.cmml">⁢</mo><mi id="alg1.l10.m2.1.1.2.9" xref="alg1.l10.m2.1.1.2.9.cmml">l</mi><mo id="alg1.l10.m2.1.1.2.1g" xref="alg1.l10.m2.1.1.2.1.cmml">⁢</mo><mi id="alg1.l10.m2.1.1.2.10" xref="alg1.l10.m2.1.1.2.10.cmml">s</mi></mrow><mo id="alg1.l10.m2.1.1.1" stretchy="false" xref="alg1.l10.m2.1.1.1.cmml">←</mo><mi id="alg1.l10.m2.1.1.3" xref="alg1.l10.m2.1.1.3.cmml"></mi></mrow><annotation-xml encoding="MathML-Content" id="alg1.l10.m2.1b"><apply id="alg1.l10.m2.1.1.cmml" xref="alg1.l10.m2.1.1"><ci id="alg1.l10.m2.1.1.1.cmml" xref="alg1.l10.m2.1.1.1">←</ci><apply id="alg1.l10.m2.1.1.2.cmml" xref="alg1.l10.m2.1.1.2"><times id="alg1.l10.m2.1.1.2.1.cmml" xref="alg1.l10.m2.1.1.2.1"></times><ci id="alg1.l10.m2.1.1.2.2.cmml" xref="alg1.l10.m2.1.1.2.2">𝑡</ci><ci id="alg1.l10.m2.1.1.2.3.cmml" xref="alg1.l10.m2.1.1.2.3">𝑜</ci><ci id="alg1.l10.m2.1.1.2.4.cmml" xref="alg1.l10.m2.1.1.2.4">𝑝</ci><ci id="alg1.l10.m2.1.1.2.5.cmml" xref="alg1.l10.m2.1.1.2.5">𝑘</ci><ci id="alg1.l10.m2.1.1.2.6.cmml" xref="alg1.l10.m2.1.1.2.6">_</ci><ci id="alg1.l10.m2.1.1.2.7.cmml" xref="alg1.l10.m2.1.1.2.7">𝑣</ci><ci id="alg1.l10.m2.1.1.2.8.cmml" xref="alg1.l10.m2.1.1.2.8">𝑎</ci><ci id="alg1.l10.m2.1.1.2.9.cmml" xref="alg1.l10.m2.1.1.2.9">𝑙</ci><ci id="alg1.l10.m2.1.1.2.10.cmml" xref="alg1.l10.m2.1.1.2.10">𝑠</ci></apply><csymbol cd="latexml" id="alg1.l10.m2.1.1.3.cmml" xref="alg1.l10.m2.1.1.3">absent</csymbol></apply></annotation-xml><annotation encoding="application/x-tex" id="alg1.l10.m2.1c">topk\_vals\leftarrow</annotation><annotation encoding="application/x-llamapun" id="alg1.l10.m2.1d">italic_t italic_o italic_p italic_k _ italic_v italic_a italic_l italic_s ←</annotation></semantics></math> top-k(<math alttext="G(\mathbf{x}),k" class="ltx_Math" display="inline" id="alg1.l10.m3.3"><semantics id="alg1.l10.m3.3a"><mrow id="alg1.l10.m3.3.3.1" xref="alg1.l10.m3.3.3.2.cmml"><mrow id="alg1.l10.m3.3.3.1.1" xref="alg1.l10.m3.3.3.1.1.cmml"><mi id="alg1.l10.m3.3.3.1.1.2" xref="alg1.l10.m3.3.3.1.1.2.cmml">G</mi><mo id="alg1.l10.m3.3.3.1.1.1" xref="alg1.l10.m3.3.3.1.1.1.cmml">⁢</mo><mrow id="alg1.l10.m3.3.3.1.1.3.2" xref="alg1.l10.m3.3.3.1.1.cmml"><mo id="alg1.l10.m3.3.3.1.1.3.2.1" stretchy="false" xref="alg1.l10.m3.3.3.1.1.cmml">(</mo><mi id="alg1.l10.m3.1.1" xref="alg1.l10.m3.1.1.cmml">𝐱</mi><mo id="alg1.l10.m3.3.3.1.1.3.2.2" stretchy="false" xref="alg1.l10.m3.3.3.1.1.cmml">)</mo></mrow></mrow><mo id="alg1.l10.m3.3.3.1.2" xref="alg1.l10.m3.3.3.2.cmml">,</mo><mi id="alg1.l10.m3.2.2" xref="alg1.l10.m3.2.2.cmml">k</mi></mrow><annotation-xml encoding="MathML-Content" id="alg1.l10.m3.3b"><list id="alg1.l10.m3.3.3.2.cmml" xref="alg1.l10.m3.3.3.1"><apply id="alg1.l10.m3.3.3.1.1.cmml" xref="alg1.l10.m3.3.3.1.1"><times id="alg1.l10.m3.3.3.1.1.1.cmml" xref="alg1.l10.m3.3.3.1.1.1"></times><ci id="alg1.l10.m3.3.3.1.1.2.cmml" xref="alg1.l10.m3.3.3.1.1.2">𝐺</ci><ci id="alg1.l10.m3.1.1.cmml" xref="alg1.l10.m3.1.1">𝐱</ci></apply><ci id="alg1.l10.m3.2.2.cmml" xref="alg1.l10.m3.2.2">𝑘</ci></list></annotation-xml><annotation encoding="application/x-tex" id="alg1.l10.m3.3c">G(\mathbf{x}),k</annotation><annotation encoding="application/x-llamapun" id="alg1.l10.m3.3d">italic_G ( bold_x ) , italic_k</annotation></semantics></math>) </div> <div class="ltx_listingline" id="alg1.l11"> 11: <math alttext="\mathbf{\sigma_{s}}" class="ltx_Math" display="inline" id="alg1.l11.m1.1"><semantics id="alg1.l11.m1.1a"><msub id="alg1.l11.m1.1.1" xref="alg1.l11.m1.1.1.cmml"><mi id="alg1.l11.m1.1.1.2" xref="alg1.l11.m1.1.1.2.cmml">σ</mi><mi id="alg1.l11.m1.1.1.3" xref="alg1.l11.m1.1.1.3.cmml">𝐬</mi></msub><annotation-xml encoding="MathML-Content" id="alg1.l11.m1.1b"><apply id="alg1.l11.m1.1.1.cmml" xref="alg1.l11.m1.1.1"><csymbol cd="ambiguous" id="alg1.l11.m1.1.1.1.cmml" xref="alg1.l11.m1.1.1">subscript</csymbol><ci id="alg1.l11.m1.1.1.2.cmml" xref="alg1.l11.m1.1.1.2">𝜎</ci><ci id="alg1.l11.m1.1.1.3.cmml" xref="alg1.l11.m1.1.1.3">𝐬</ci></apply></annotation-xml><annotation encoding="application/x-tex" id="alg1.l11.m1.1c">\mathbf{\sigma_{s}}</annotation><annotation encoding="application/x-llamapun" id="alg1.l11.m1.1d">italic_σ start_POSTSUBSCRIPT bold_s end_POSTSUBSCRIPT</annotation></semantics></math>, <math alttext="\mathbf{c_{s}}" class="ltx_Math" display="inline" id="alg1.l11.m2.1"><semantics id="alg1.l11.m2.1a"><msub id="alg1.l11.m2.1.1" xref="alg1.l11.m2.1.1.cmml"><mi id="alg1.l11.m2.1.1.2" xref="alg1.l11.m2.1.1.2.cmml">𝐜</mi><mi id="alg1.l11.m2.1.1.3" xref="alg1.l11.m2.1.1.3.cmml">𝐬</mi></msub><annotation-xml encoding="MathML-Content" id="alg1.l11.m2.1b"><apply id="alg1.l11.m2.1.1.cmml" xref="alg1.l11.m2.1.1"><csymbol cd="ambiguous" id="alg1.l11.m2.1.1.1.cmml" xref="alg1.l11.m2.1.1">subscript</csymbol><ci id="alg1.l11.m2.1.1.2.cmml" xref="alg1.l11.m2.1.1.2">𝐜</ci><ci id="alg1.l11.m2.1.1.3.cmml" xref="alg1.l11.m2.1.1.3">𝐬</ci></apply></annotation-xml><annotation encoding="application/x-tex" id="alg1.l11.m2.1c">\mathbf{c_{s}}</annotation><annotation encoding="application/x-llamapun" id="alg1.l11.m2.1d">bold_c start_POSTSUBSCRIPT bold_s end_POSTSUBSCRIPT</annotation></semantics></math> <math alttext="\leftarrow" class="ltx_Math" display="inline" id="alg1.l11.m3.1"><semantics id="alg1.l11.m3.1a"><mo id="alg1.l11.m3.1.1" stretchy="false" xref="alg1.l11.m3.1.1.cmml">←</mo><annotation-xml encoding="MathML-Content" id="alg1.l11.m3.1b"><ci id="alg1.l11.m3.1.1.cmml" xref="alg1.l11.m3.1.1">←</ci></annotation-xml><annotation encoding="application/x-tex" id="alg1.l11.m3.1c">\leftarrow</annotation><annotation encoding="application/x-llamapun" id="alg1.l11.m3.1d">←</annotation></semantics></math> array() </div> <div class="ltx_listingline" id="alg1.l12"> 12: for <math alttext="j\leftarrow 1" class="ltx_Math" display="inline" id="alg1.l12.m1.1"><semantics id="alg1.l12.m1.1a"><mrow id="alg1.l12.m1.1.1" xref="alg1.l12.m1.1.1.cmml"><mi id="alg1.l12.m1.1.1.2" xref="alg1.l12.m1.1.1.2.cmml">j</mi><mo id="alg1.l12.m1.1.1.1" stretchy="false" xref="alg1.l12.m1.1.1.1.cmml">←</mo><mn id="alg1.l12.m1.1.1.3" xref="alg1.l12.m1.1.1.3.cmml">1</mn></mrow><annotation-xml encoding="MathML-Content" id="alg1.l12.m1.1b"><apply id="alg1.l12.m1.1.1.cmml" xref="alg1.l12.m1.1.1"><ci id="alg1.l12.m1.1.1.1.cmml" xref="alg1.l12.m1.1.1.1">←</ci><ci id="alg1.l12.m1.1.1.2.cmml" xref="alg1.l12.m1.1.1.2">𝑗</ci><cn id="alg1.l12.m1.1.1.3.cmml" type="integer" xref="alg1.l12.m1.1.1.3">1</cn></apply></annotation-xml><annotation encoding="application/x-tex" id="alg1.l12.m1.1c">j\leftarrow 1</annotation><annotation encoding="application/x-llamapun" id="alg1.l12.m1.1d">italic_j ← 1</annotation></semantics></math> to <math alttext="M" class="ltx_Math" display="inline" id="alg1.l12.m2.1"><semantics id="alg1.l12.m2.1a"><mi id="alg1.l12.m2.1.1" xref="alg1.l12.m2.1.1.cmml">M</mi><annotation-xml encoding="MathML-Content" id="alg1.l12.m2.1b"><ci id="alg1.l12.m2.1.1.cmml" xref="alg1.l12.m2.1.1">𝑀</ci></annotation-xml><annotation encoding="application/x-tex" id="alg1.l12.m2.1c">M</annotation><annotation encoding="application/x-llamapun" id="alg1.l12.m2.1d">italic_M</annotation></semantics></math> do </div> <div class="ltx_listingline" id="alg1.l13"> 13: <math alttext="mask\leftarrow topk\_idx==j" class="ltx_math_unparsed" display="inline" id="alg1.l13.m1.1"><semantics id="alg1.l13.m1.1a"><mrow id="alg1.l13.m1.1b"><mi id="alg1.l13.m1.1.1">m</mi><mi id="alg1.l13.m1.1.2">a</mi><mi id="alg1.l13.m1.1.3">s</mi><mi id="alg1.l13.m1.1.4">k</mi><mo id="alg1.l13.m1.1.5" stretchy="false">←</mo><mi id="alg1.l13.m1.1.6">t</mi><mi id="alg1.l13.m1.1.7">o</mi><mi id="alg1.l13.m1.1.8">p</mi><mi id="alg1.l13.m1.1.9">k</mi><mi id="alg1.l13.m1.1.10" mathvariant="normal">_</mi><mi id="alg1.l13.m1.1.11">i</mi><mi id="alg1.l13.m1.1.12">d</mi><mi id="alg1.l13.m1.1.13">x</mi><mo id="alg1.l13.m1.1.14" rspace="0em">=</mo><mo id="alg1.l13.m1.1.15" lspace="0em">=</mo><mi id="alg1.l13.m1.1.16">j</mi></mrow><annotation encoding="application/x-tex" id="alg1.l13.m1.1c">mask\leftarrow topk\_idx==j</annotation><annotation encoding="application/x-llamapun" id="alg1.l13.m1.1d">italic_m italic_a italic_s italic_k ← italic_t italic_o italic_p italic_k _ italic_i italic_d italic_x = = italic_j</annotation></semantics></math> </div> <div class="ltx_listingline" id="alg1.l14"> 14: <math alttext="\mathbf{\sigma}" class="ltx_Math" display="inline" id="alg1.l14.m1.1"><semantics id="alg1.l14.m1.1a"><mi id="alg1.l14.m1.1.1" xref="alg1.l14.m1.1.1.cmml">σ</mi><annotation-xml encoding="MathML-Content" id="alg1.l14.m1.1b"><ci id="alg1.l14.m1.1.1.cmml" xref="alg1.l14.m1.1.1">𝜎</ci></annotation-xml><annotation encoding="application/x-tex" id="alg1.l14.m1.1c">\mathbf{\sigma}</annotation><annotation encoding="application/x-llamapun" id="alg1.l14.m1.1d">italic_σ</annotation></semantics></math>, <math alttext="\mathbf{c}\leftarrow" class="ltx_Math" display="inline" id="alg1.l14.m2.1"><semantics id="alg1.l14.m2.1a"><mrow id="alg1.l14.m2.1.1" xref="alg1.l14.m2.1.1.cmml"><mi id="alg1.l14.m2.1.1.2" xref="alg1.l14.m2.1.1.2.cmml">𝐜</mi><mo id="alg1.l14.m2.1.1.1" stretchy="false" xref="alg1.l14.m2.1.1.1.cmml">←</mo><mi id="alg1.l14.m2.1.1.3" xref="alg1.l14.m2.1.1.3.cmml"></mi></mrow><annotation-xml encoding="MathML-Content" id="alg1.l14.m2.1b"><apply id="alg1.l14.m2.1.1.cmml" xref="alg1.l14.m2.1.1"><ci id="alg1.l14.m2.1.1.1.cmml" xref="alg1.l14.m2.1.1.1">←</ci><ci id="alg1.l14.m2.1.1.2.cmml" xref="alg1.l14.m2.1.1.2">𝐜</ci><csymbol cd="latexml" id="alg1.l14.m2.1.1.3.cmml" xref="alg1.l14.m2.1.1.3">absent</csymbol></apply></annotation-xml><annotation encoding="application/x-tex" id="alg1.l14.m2.1c">\mathbf{c}\leftarrow</annotation><annotation encoding="application/x-llamapun" id="alg1.l14.m2.1d">bold_c ←</annotation></semantics></math> <math alttext="experts[j](\mathbf{x}[mask],\mathbf{d})" class="ltx_Math" display="inline" id="alg1.l14.m3.3"><semantics id="alg1.l14.m3.3a"><mrow id="alg1.l14.m3.3.3" xref="alg1.l14.m3.3.3.cmml"><mi id="alg1.l14.m3.3.3.3" xref="alg1.l14.m3.3.3.3.cmml">e</mi><mo id="alg1.l14.m3.3.3.2" xref="alg1.l14.m3.3.3.2.cmml">⁢</mo><mi id="alg1.l14.m3.3.3.4" xref="alg1.l14.m3.3.3.4.cmml">x</mi><mo id="alg1.l14.m3.3.3.2a" xref="alg1.l14.m3.3.3.2.cmml">⁢</mo><mi id="alg1.l14.m3.3.3.5" xref="alg1.l14.m3.3.3.5.cmml">p</mi><mo id="alg1.l14.m3.3.3.2b" xref="alg1.l14.m3.3.3.2.cmml">⁢</mo><mi id="alg1.l14.m3.3.3.6" xref="alg1.l14.m3.3.3.6.cmml">e</mi><mo id="alg1.l14.m3.3.3.2c" xref="alg1.l14.m3.3.3.2.cmml">⁢</mo><mi id="alg1.l14.m3.3.3.7" xref="alg1.l14.m3.3.3.7.cmml">r</mi><mo id="alg1.l14.m3.3.3.2d" xref="alg1.l14.m3.3.3.2.cmml">⁢</mo><mi id="alg1.l14.m3.3.3.8" xref="alg1.l14.m3.3.3.8.cmml">t</mi><mo id="alg1.l14.m3.3.3.2e" xref="alg1.l14.m3.3.3.2.cmml">⁢</mo><mi id="alg1.l14.m3.3.3.9" xref="alg1.l14.m3.3.3.9.cmml">s</mi><mo id="alg1.l14.m3.3.3.2f" xref="alg1.l14.m3.3.3.2.cmml">⁢</mo><mrow id="alg1.l14.m3.3.3.10.2" xref="alg1.l14.m3.3.3.10.1.cmml"><mo id="alg1.l14.m3.3.3.10.2.1" stretchy="false" xref="alg1.l14.m3.3.3.10.1.1.cmml">[</mo><mi id="alg1.l14.m3.1.1" xref="alg1.l14.m3.1.1.cmml">j</mi><mo id="alg1.l14.m3.3.3.10.2.2" stretchy="false" xref="alg1.l14.m3.3.3.10.1.1.cmml">]</mo></mrow><mo id="alg1.l14.m3.3.3.2g" xref="alg1.l14.m3.3.3.2.cmml">⁢</mo><mrow id="alg1.l14.m3.3.3.1.1" xref="alg1.l14.m3.3.3.1.2.cmml"><mo id="alg1.l14.m3.3.3.1.1.2" stretchy="false" xref="alg1.l14.m3.3.3.1.2.cmml">(</mo><mrow id="alg1.l14.m3.3.3.1.1.1" xref="alg1.l14.m3.3.3.1.1.1.cmml"><mi id="alg1.l14.m3.3.3.1.1.1.3" xref="alg1.l14.m3.3.3.1.1.1.3.cmml">𝐱</mi><mo id="alg1.l14.m3.3.3.1.1.1.2" xref="alg1.l14.m3.3.3.1.1.1.2.cmml">⁢</mo><mrow id="alg1.l14.m3.3.3.1.1.1.1.1" xref="alg1.l14.m3.3.3.1.1.1.1.2.cmml"><mo id="alg1.l14.m3.3.3.1.1.1.1.1.2" stretchy="false" xref="alg1.l14.m3.3.3.1.1.1.1.2.1.cmml">[</mo><mrow id="alg1.l14.m3.3.3.1.1.1.1.1.1" xref="alg1.l14.m3.3.3.1.1.1.1.1.1.cmml"><mi id="alg1.l14.m3.3.3.1.1.1.1.1.1.2" xref="alg1.l14.m3.3.3.1.1.1.1.1.1.2.cmml">m</mi><mo id="alg1.l14.m3.3.3.1.1.1.1.1.1.1" xref="alg1.l14.m3.3.3.1.1.1.1.1.1.1.cmml">⁢</mo><mi id="alg1.l14.m3.3.3.1.1.1.1.1.1.3" xref="alg1.l14.m3.3.3.1.1.1.1.1.1.3.cmml">a</mi><mo id="alg1.l14.m3.3.3.1.1.1.1.1.1.1a" xref="alg1.l14.m3.3.3.1.1.1.1.1.1.1.cmml">⁢</mo><mi id="alg1.l14.m3.3.3.1.1.1.1.1.1.4" xref="alg1.l14.m3.3.3.1.1.1.1.1.1.4.cmml">s</mi><mo id="alg1.l14.m3.3.3.1.1.1.1.1.1.1b" xref="alg1.l14.m3.3.3.1.1.1.1.1.1.1.cmml">⁢</mo><mi id="alg1.l14.m3.3.3.1.1.1.1.1.1.5" xref="alg1.l14.m3.3.3.1.1.1.1.1.1.5.cmml">k</mi></mrow><mo id="alg1.l14.m3.3.3.1.1.1.1.1.3" stretchy="false" xref="alg1.l14.m3.3.3.1.1.1.1.2.1.cmml">]</mo></mrow></mrow><mo id="alg1.l14.m3.3.3.1.1.3" xref="alg1.l14.m3.3.3.1.2.cmml">,</mo><mi id="alg1.l14.m3.2.2" xref="alg1.l14.m3.2.2.cmml">𝐝</mi><mo id="alg1.l14.m3.3.3.1.1.4" stretchy="false" xref="alg1.l14.m3.3.3.1.2.cmml">)</mo></mrow></mrow><annotation-xml encoding="MathML-Content" id="alg1.l14.m3.3b"><apply id="alg1.l14.m3.3.3.cmml" xref="alg1.l14.m3.3.3"><times id="alg1.l14.m3.3.3.2.cmml" xref="alg1.l14.m3.3.3.2"></times><ci id="alg1.l14.m3.3.3.3.cmml" xref="alg1.l14.m3.3.3.3">𝑒</ci><ci id="alg1.l14.m3.3.3.4.cmml" xref="alg1.l14.m3.3.3.4">𝑥</ci><ci id="alg1.l14.m3.3.3.5.cmml" xref="alg1.l14.m3.3.3.5">𝑝</ci><ci id="alg1.l14.m3.3.3.6.cmml" xref="alg1.l14.m3.3.3.6">𝑒</ci><ci id="alg1.l14.m3.3.3.7.cmml" xref="alg1.l14.m3.3.3.7">𝑟</ci><ci id="alg1.l14.m3.3.3.8.cmml" xref="alg1.l14.m3.3.3.8">𝑡</ci><ci id="alg1.l14.m3.3.3.9.cmml" xref="alg1.l14.m3.3.3.9">𝑠</ci><apply id="alg1.l14.m3.3.3.10.1.cmml" xref="alg1.l14.m3.3.3.10.2"><csymbol cd="latexml" id="alg1.l14.m3.3.3.10.1.1.cmml" xref="alg1.l14.m3.3.3.10.2.1">delimited-[]</csymbol><ci id="alg1.l14.m3.1.1.cmml" xref="alg1.l14.m3.1.1">𝑗</ci></apply><interval closure="open" id="alg1.l14.m3.3.3.1.2.cmml" xref="alg1.l14.m3.3.3.1.1"><apply id="alg1.l14.m3.3.3.1.1.1.cmml" xref="alg1.l14.m3.3.3.1.1.1"><times id="alg1.l14.m3.3.3.1.1.1.2.cmml" xref="alg1.l14.m3.3.3.1.1.1.2"></times><ci id="alg1.l14.m3.3.3.1.1.1.3.cmml" xref="alg1.l14.m3.3.3.1.1.1.3">𝐱</ci><apply id="alg1.l14.m3.3.3.1.1.1.1.2.cmml" xref="alg1.l14.m3.3.3.1.1.1.1.1"><csymbol cd="latexml" id="alg1.l14.m3.3.3.1.1.1.1.2.1.cmml" xref="alg1.l14.m3.3.3.1.1.1.1.1.2">delimited-[]</csymbol><apply id="alg1.l14.m3.3.3.1.1.1.1.1.1.cmml" xref="alg1.l14.m3.3.3.1.1.1.1.1.1"><times id="alg1.l14.m3.3.3.1.1.1.1.1.1.1.cmml" xref="alg1.l14.m3.3.3.1.1.1.1.1.1.1"></times><ci id="alg1.l14.m3.3.3.1.1.1.1.1.1.2.cmml" xref="alg1.l14.m3.3.3.1.1.1.1.1.1.2">𝑚</ci><ci id="alg1.l14.m3.3.3.1.1.1.1.1.1.3.cmml" xref="alg1.l14.m3.3.3.1.1.1.1.1.1.3">𝑎</ci><ci id="alg1.l14.m3.3.3.1.1.1.1.1.1.4.cmml" xref="alg1.l14.m3.3.3.1.1.1.1.1.1.4">𝑠</ci><ci id="alg1.l14.m3.3.3.1.1.1.1.1.1.5.cmml" xref="alg1.l14.m3.3.3.1.1.1.1.1.1.5">𝑘</ci></apply></apply></apply><ci id="alg1.l14.m3.2.2.cmml" xref="alg1.l14.m3.2.2">𝐝</ci></interval></apply></annotation-xml><annotation encoding="application/x-tex" id="alg1.l14.m3.3c">experts[j](\mathbf{x}[mask],\mathbf{d})</annotation><annotation encoding="application/x-llamapun" id="alg1.l14.m3.3d">italic_e italic_x italic_p italic_e italic_r italic_t italic_s [ italic_j ] ( bold_x [ italic_m italic_a italic_s italic_k ] , bold_d )</annotation></semantics></math> </div> <div class="ltx_listingline" id="alg1.l15"> 15: <math alttext="\mathbf{\sigma_{s}}[j]\leftarrow\sigma\cdot topk\_vals[mask]" class="ltx_Math" display="inline" id="alg1.l15.m1.2"><semantics id="alg1.l15.m1.2a"><mrow id="alg1.l15.m1.2.2" xref="alg1.l15.m1.2.2.cmml"><mrow id="alg1.l15.m1.2.2.3" xref="alg1.l15.m1.2.2.3.cmml"><msub id="alg1.l15.m1.2.2.3.2" xref="alg1.l15.m1.2.2.3.2.cmml"><mi id="alg1.l15.m1.2.2.3.2.2" xref="alg1.l15.m1.2.2.3.2.2.cmml">σ</mi><mi id="alg1.l15.m1.2.2.3.2.3" xref="alg1.l15.m1.2.2.3.2.3.cmml">𝐬</mi></msub><mo id="alg1.l15.m1.2.2.3.1" xref="alg1.l15.m1.2.2.3.1.cmml">⁢</mo><mrow id="alg1.l15.m1.2.2.3.3.2" xref="alg1.l15.m1.2.2.3.3.1.cmml"><mo id="alg1.l15.m1.2.2.3.3.2.1" stretchy="false" xref="alg1.l15.m1.2.2.3.3.1.1.cmml">[</mo><mi id="alg1.l15.m1.1.1" xref="alg1.l15.m1.1.1.cmml">j</mi><mo id="alg1.l15.m1.2.2.3.3.2.2" stretchy="false" xref="alg1.l15.m1.2.2.3.3.1.1.cmml">]</mo></mrow></mrow><mo id="alg1.l15.m1.2.2.2" stretchy="false" xref="alg1.l15.m1.2.2.2.cmml">←</mo><mrow id="alg1.l15.m1.2.2.1" xref="alg1.l15.m1.2.2.1.cmml"><mrow id="alg1.l15.m1.2.2.1.3" xref="alg1.l15.m1.2.2.1.3.cmml"><mi id="alg1.l15.m1.2.2.1.3.2" xref="alg1.l15.m1.2.2.1.3.2.cmml">σ</mi><mo id="alg1.l15.m1.2.2.1.3.1" lspace="0.222em" rspace="0.222em" xref="alg1.l15.m1.2.2.1.3.1.cmml">⋅</mo><mi id="alg1.l15.m1.2.2.1.3.3" xref="alg1.l15.m1.2.2.1.3.3.cmml">t</mi></mrow><mo id="alg1.l15.m1.2.2.1.2" xref="alg1.l15.m1.2.2.1.2.cmml">⁢</mo><mi id="alg1.l15.m1.2.2.1.4" xref="alg1.l15.m1.2.2.1.4.cmml">o</mi><mo id="alg1.l15.m1.2.2.1.2a" xref="alg1.l15.m1.2.2.1.2.cmml">⁢</mo><mi id="alg1.l15.m1.2.2.1.5" xref="alg1.l15.m1.2.2.1.5.cmml">p</mi><mo id="alg1.l15.m1.2.2.1.2b" xref="alg1.l15.m1.2.2.1.2.cmml">⁢</mo><mi id="alg1.l15.m1.2.2.1.6" xref="alg1.l15.m1.2.2.1.6.cmml">k</mi><mo id="alg1.l15.m1.2.2.1.2c" xref="alg1.l15.m1.2.2.1.2.cmml">⁢</mo><mi id="alg1.l15.m1.2.2.1.7" mathvariant="normal" xref="alg1.l15.m1.2.2.1.7.cmml">_</mi><mo id="alg1.l15.m1.2.2.1.2d" xref="alg1.l15.m1.2.2.1.2.cmml">⁢</mo><mi id="alg1.l15.m1.2.2.1.8" xref="alg1.l15.m1.2.2.1.8.cmml">v</mi><mo id="alg1.l15.m1.2.2.1.2e" xref="alg1.l15.m1.2.2.1.2.cmml">⁢</mo><mi id="alg1.l15.m1.2.2.1.9" xref="alg1.l15.m1.2.2.1.9.cmml">a</mi><mo id="alg1.l15.m1.2.2.1.2f" xref="alg1.l15.m1.2.2.1.2.cmml">⁢</mo><mi id="alg1.l15.m1.2.2.1.10" xref="alg1.l15.m1.2.2.1.10.cmml">l</mi><mo id="alg1.l15.m1.2.2.1.2g" xref="alg1.l15.m1.2.2.1.2.cmml">⁢</mo><mi id="alg1.l15.m1.2.2.1.11" xref="alg1.l15.m1.2.2.1.11.cmml">s</mi><mo id="alg1.l15.m1.2.2.1.2h" xref="alg1.l15.m1.2.2.1.2.cmml">⁢</mo><mrow id="alg1.l15.m1.2.2.1.1.1" xref="alg1.l15.m1.2.2.1.1.2.cmml"><mo id="alg1.l15.m1.2.2.1.1.1.2" stretchy="false" xref="alg1.l15.m1.2.2.1.1.2.1.cmml">[</mo><mrow id="alg1.l15.m1.2.2.1.1.1.1" xref="alg1.l15.m1.2.2.1.1.1.1.cmml"><mi id="alg1.l15.m1.2.2.1.1.1.1.2" xref="alg1.l15.m1.2.2.1.1.1.1.2.cmml">m</mi><mo id="alg1.l15.m1.2.2.1.1.1.1.1" xref="alg1.l15.m1.2.2.1.1.1.1.1.cmml">⁢</mo><mi id="alg1.l15.m1.2.2.1.1.1.1.3" xref="alg1.l15.m1.2.2.1.1.1.1.3.cmml">a</mi><mo id="alg1.l15.m1.2.2.1.1.1.1.1a" xref="alg1.l15.m1.2.2.1.1.1.1.1.cmml">⁢</mo><mi id="alg1.l15.m1.2.2.1.1.1.1.4" xref="alg1.l15.m1.2.2.1.1.1.1.4.cmml">s</mi><mo id="alg1.l15.m1.2.2.1.1.1.1.1b" xref="alg1.l15.m1.2.2.1.1.1.1.1.cmml">⁢</mo><mi id="alg1.l15.m1.2.2.1.1.1.1.5" xref="alg1.l15.m1.2.2.1.1.1.1.5.cmml">k</mi></mrow><mo id="alg1.l15.m1.2.2.1.1.1.3" stretchy="false" xref="alg1.l15.m1.2.2.1.1.2.1.cmml">]</mo></mrow></mrow></mrow><annotation-xml encoding="MathML-Content" id="alg1.l15.m1.2b"><apply id="alg1.l15.m1.2.2.cmml" xref="alg1.l15.m1.2.2"><ci id="alg1.l15.m1.2.2.2.cmml" xref="alg1.l15.m1.2.2.2">←</ci><apply id="alg1.l15.m1.2.2.3.cmml" xref="alg1.l15.m1.2.2.3"><times id="alg1.l15.m1.2.2.3.1.cmml" xref="alg1.l15.m1.2.2.3.1"></times><apply id="alg1.l15.m1.2.2.3.2.cmml" xref="alg1.l15.m1.2.2.3.2"><csymbol cd="ambiguous" id="alg1.l15.m1.2.2.3.2.1.cmml" xref="alg1.l15.m1.2.2.3.2">subscript</csymbol><ci id="alg1.l15.m1.2.2.3.2.2.cmml" xref="alg1.l15.m1.2.2.3.2.2">𝜎</ci><ci id="alg1.l15.m1.2.2.3.2.3.cmml" xref="alg1.l15.m1.2.2.3.2.3">𝐬</ci></apply><apply id="alg1.l15.m1.2.2.3.3.1.cmml" xref="alg1.l15.m1.2.2.3.3.2"><csymbol cd="latexml" id="alg1.l15.m1.2.2.3.3.1.1.cmml" xref="alg1.l15.m1.2.2.3.3.2.1">delimited-[]</csymbol><ci id="alg1.l15.m1.1.1.cmml" xref="alg1.l15.m1.1.1">𝑗</ci></apply></apply><apply id="alg1.l15.m1.2.2.1.cmml" xref="alg1.l15.m1.2.2.1"><times id="alg1.l15.m1.2.2.1.2.cmml" xref="alg1.l15.m1.2.2.1.2"></times><apply id="alg1.l15.m1.2.2.1.3.cmml" xref="alg1.l15.m1.2.2.1.3"><ci id="alg1.l15.m1.2.2.1.3.1.cmml" xref="alg1.l15.m1.2.2.1.3.1">⋅</ci><ci id="alg1.l15.m1.2.2.1.3.2.cmml" xref="alg1.l15.m1.2.2.1.3.2">𝜎</ci><ci id="alg1.l15.m1.2.2.1.3.3.cmml" xref="alg1.l15.m1.2.2.1.3.3">𝑡</ci></apply><ci id="alg1.l15.m1.2.2.1.4.cmml" xref="alg1.l15.m1.2.2.1.4">𝑜</ci><ci id="alg1.l15.m1.2.2.1.5.cmml" xref="alg1.l15.m1.2.2.1.5">𝑝</ci><ci id="alg1.l15.m1.2.2.1.6.cmml" xref="alg1.l15.m1.2.2.1.6">𝑘</ci><ci id="alg1.l15.m1.2.2.1.7.cmml" xref="alg1.l15.m1.2.2.1.7">_</ci><ci id="alg1.l15.m1.2.2.1.8.cmml" xref="alg1.l15.m1.2.2.1.8">𝑣</ci><ci id="alg1.l15.m1.2.2.1.9.cmml" xref="alg1.l15.m1.2.2.1.9">𝑎</ci><ci id="alg1.l15.m1.2.2.1.10.cmml" xref="alg1.l15.m1.2.2.1.10">𝑙</ci><ci id="alg1.l15.m1.2.2.1.11.cmml" xref="alg1.l15.m1.2.2.1.11">𝑠</ci><apply id="alg1.l15.m1.2.2.1.1.2.cmml" xref="alg1.l15.m1.2.2.1.1.1"><csymbol cd="latexml" id="alg1.l15.m1.2.2.1.1.2.1.cmml" xref="alg1.l15.m1.2.2.1.1.1.2">delimited-[]</csymbol><apply id="alg1.l15.m1.2.2.1.1.1.1.cmml" xref="alg1.l15.m1.2.2.1.1.1.1"><times id="alg1.l15.m1.2.2.1.1.1.1.1.cmml" xref="alg1.l15.m1.2.2.1.1.1.1.1"></times><ci id="alg1.l15.m1.2.2.1.1.1.1.2.cmml" xref="alg1.l15.m1.2.2.1.1.1.1.2">𝑚</ci><ci id="alg1.l15.m1.2.2.1.1.1.1.3.cmml" xref="alg1.l15.m1.2.2.1.1.1.1.3">𝑎</ci><ci id="alg1.l15.m1.2.2.1.1.1.1.4.cmml" xref="alg1.l15.m1.2.2.1.1.1.1.4">𝑠</ci><ci id="alg1.l15.m1.2.2.1.1.1.1.5.cmml" xref="alg1.l15.m1.2.2.1.1.1.1.5">𝑘</ci></apply></apply></apply></apply></annotation-xml><annotation encoding="application/x-tex" id="alg1.l15.m1.2c">\mathbf{\sigma_{s}}[j]\leftarrow\sigma\cdot topk\_vals[mask]</annotation><annotation encoding="application/x-llamapun" id="alg1.l15.m1.2d">italic_σ start_POSTSUBSCRIPT bold_s end_POSTSUBSCRIPT [ italic_j ] ← italic_σ ⋅ italic_t italic_o italic_p italic_k _ italic_v italic_a italic_l italic_s [ italic_m italic_a italic_s italic_k ]</annotation></semantics></math> </div> <div class="ltx_listingline" id="alg1.l16"> 16: <math alttext="{\mathbf{c_{s}}[j]}\leftarrow\mathbf{c}\cdot topk\_vals[mask]" class="ltx_Math" display="inline" id="alg1.l16.m1.2"><semantics id="alg1.l16.m1.2a"><mrow id="alg1.l16.m1.2.2" xref="alg1.l16.m1.2.2.cmml"><mrow id="alg1.l16.m1.2.2.3" xref="alg1.l16.m1.2.2.3.cmml"><msub id="alg1.l16.m1.2.2.3.2" xref="alg1.l16.m1.2.2.3.2.cmml"><mi id="alg1.l16.m1.2.2.3.2.2" xref="alg1.l16.m1.2.2.3.2.2.cmml">𝐜</mi><mi id="alg1.l16.m1.2.2.3.2.3" xref="alg1.l16.m1.2.2.3.2.3.cmml">𝐬</mi></msub><mo id="alg1.l16.m1.2.2.3.1" xref="alg1.l16.m1.2.2.3.1.cmml">⁢</mo><mrow id="alg1.l16.m1.2.2.3.3.2" xref="alg1.l16.m1.2.2.3.3.1.cmml"><mo id="alg1.l16.m1.2.2.3.3.2.1" stretchy="false" xref="alg1.l16.m1.2.2.3.3.1.1.cmml">[</mo><mi id="alg1.l16.m1.1.1" xref="alg1.l16.m1.1.1.cmml">j</mi><mo id="alg1.l16.m1.2.2.3.3.2.2" stretchy="false" xref="alg1.l16.m1.2.2.3.3.1.1.cmml">]</mo></mrow></mrow><mo id="alg1.l16.m1.2.2.2" stretchy="false" xref="alg1.l16.m1.2.2.2.cmml">←</mo><mrow id="alg1.l16.m1.2.2.1" xref="alg1.l16.m1.2.2.1.cmml"><mrow id="alg1.l16.m1.2.2.1.3" xref="alg1.l16.m1.2.2.1.3.cmml"><mi id="alg1.l16.m1.2.2.1.3.2" xref="alg1.l16.m1.2.2.1.3.2.cmml">𝐜</mi><mo id="alg1.l16.m1.2.2.1.3.1" lspace="0.222em" rspace="0.222em" xref="alg1.l16.m1.2.2.1.3.1.cmml">⋅</mo><mi id="alg1.l16.m1.2.2.1.3.3" xref="alg1.l16.m1.2.2.1.3.3.cmml">t</mi></mrow><mo id="alg1.l16.m1.2.2.1.2" xref="alg1.l16.m1.2.2.1.2.cmml">⁢</mo><mi id="alg1.l16.m1.2.2.1.4" xref="alg1.l16.m1.2.2.1.4.cmml">o</mi><mo id="alg1.l16.m1.2.2.1.2a" xref="alg1.l16.m1.2.2.1.2.cmml">⁢</mo><mi id="alg1.l16.m1.2.2.1.5" xref="alg1.l16.m1.2.2.1.5.cmml">p</mi><mo id="alg1.l16.m1.2.2.1.2b" xref="alg1.l16.m1.2.2.1.2.cmml">⁢</mo><mi id="alg1.l16.m1.2.2.1.6" xref="alg1.l16.m1.2.2.1.6.cmml">k</mi><mo id="alg1.l16.m1.2.2.1.2c" xref="alg1.l16.m1.2.2.1.2.cmml">⁢</mo><mi id="alg1.l16.m1.2.2.1.7" mathvariant="normal" xref="alg1.l16.m1.2.2.1.7.cmml">_</mi><mo id="alg1.l16.m1.2.2.1.2d" xref="alg1.l16.m1.2.2.1.2.cmml">⁢</mo><mi id="alg1.l16.m1.2.2.1.8" xref="alg1.l16.m1.2.2.1.8.cmml">v</mi><mo id="alg1.l16.m1.2.2.1.2e" xref="alg1.l16.m1.2.2.1.2.cmml">⁢</mo><mi id="alg1.l16.m1.2.2.1.9" xref="alg1.l16.m1.2.2.1.9.cmml">a</mi><mo id="alg1.l16.m1.2.2.1.2f" xref="alg1.l16.m1.2.2.1.2.cmml">⁢</mo><mi id="alg1.l16.m1.2.2.1.10" xref="alg1.l16.m1.2.2.1.10.cmml">l</mi><mo id="alg1.l16.m1.2.2.1.2g" xref="alg1.l16.m1.2.2.1.2.cmml">⁢</mo><mi id="alg1.l16.m1.2.2.1.11" xref="alg1.l16.m1.2.2.1.11.cmml">s</mi><mo id="alg1.l16.m1.2.2.1.2h" xref="alg1.l16.m1.2.2.1.2.cmml">⁢</mo><mrow id="alg1.l16.m1.2.2.1.1.1" xref="alg1.l16.m1.2.2.1.1.2.cmml"><mo id="alg1.l16.m1.2.2.1.1.1.2" stretchy="false" xref="alg1.l16.m1.2.2.1.1.2.1.cmml">[</mo><mrow id="alg1.l16.m1.2.2.1.1.1.1" xref="alg1.l16.m1.2.2.1.1.1.1.cmml"><mi id="alg1.l16.m1.2.2.1.1.1.1.2" xref="alg1.l16.m1.2.2.1.1.1.1.2.cmml">m</mi><mo id="alg1.l16.m1.2.2.1.1.1.1.1" xref="alg1.l16.m1.2.2.1.1.1.1.1.cmml">⁢</mo><mi id="alg1.l16.m1.2.2.1.1.1.1.3" xref="alg1.l16.m1.2.2.1.1.1.1.3.cmml">a</mi><mo id="alg1.l16.m1.2.2.1.1.1.1.1a" xref="alg1.l16.m1.2.2.1.1.1.1.1.cmml">⁢</mo><mi id="alg1.l16.m1.2.2.1.1.1.1.4" xref="alg1.l16.m1.2.2.1.1.1.1.4.cmml">s</mi><mo id="alg1.l16.m1.2.2.1.1.1.1.1b" xref="alg1.l16.m1.2.2.1.1.1.1.1.cmml">⁢</mo><mi id="alg1.l16.m1.2.2.1.1.1.1.5" xref="alg1.l16.m1.2.2.1.1.1.1.5.cmml">k</mi></mrow><mo id="alg1.l16.m1.2.2.1.1.1.3" stretchy="false" xref="alg1.l16.m1.2.2.1.1.2.1.cmml">]</mo></mrow></mrow></mrow><annotation-xml encoding="MathML-Content" id="alg1.l16.m1.2b"><apply id="alg1.l16.m1.2.2.cmml" xref="alg1.l16.m1.2.2"><ci id="alg1.l16.m1.2.2.2.cmml" xref="alg1.l16.m1.2.2.2">←</ci><apply id="alg1.l16.m1.2.2.3.cmml" xref="alg1.l16.m1.2.2.3"><times id="alg1.l16.m1.2.2.3.1.cmml" xref="alg1.l16.m1.2.2.3.1"></times><apply id="alg1.l16.m1.2.2.3.2.cmml" xref="alg1.l16.m1.2.2.3.2"><csymbol cd="ambiguous" id="alg1.l16.m1.2.2.3.2.1.cmml" xref="alg1.l16.m1.2.2.3.2">subscript</csymbol><ci id="alg1.l16.m1.2.2.3.2.2.cmml" xref="alg1.l16.m1.2.2.3.2.2">𝐜</ci><ci id="alg1.l16.m1.2.2.3.2.3.cmml" xref="alg1.l16.m1.2.2.3.2.3">𝐬</ci></apply><apply id="alg1.l16.m1.2.2.3.3.1.cmml" xref="alg1.l16.m1.2.2.3.3.2"><csymbol cd="latexml" id="alg1.l16.m1.2.2.3.3.1.1.cmml" xref="alg1.l16.m1.2.2.3.3.2.1">delimited-[]</csymbol><ci id="alg1.l16.m1.1.1.cmml" xref="alg1.l16.m1.1.1">𝑗</ci></apply></apply><apply id="alg1.l16.m1.2.2.1.cmml" xref="alg1.l16.m1.2.2.1"><times id="alg1.l16.m1.2.2.1.2.cmml" xref="alg1.l16.m1.2.2.1.2"></times><apply id="alg1.l16.m1.2.2.1.3.cmml" xref="alg1.l16.m1.2.2.1.3"><ci id="alg1.l16.m1.2.2.1.3.1.cmml" xref="alg1.l16.m1.2.2.1.3.1">⋅</ci><ci id="alg1.l16.m1.2.2.1.3.2.cmml" xref="alg1.l16.m1.2.2.1.3.2">𝐜</ci><ci id="alg1.l16.m1.2.2.1.3.3.cmml" xref="alg1.l16.m1.2.2.1.3.3">𝑡</ci></apply><ci id="alg1.l16.m1.2.2.1.4.cmml" xref="alg1.l16.m1.2.2.1.4">𝑜</ci><ci id="alg1.l16.m1.2.2.1.5.cmml" xref="alg1.l16.m1.2.2.1.5">𝑝</ci><ci id="alg1.l16.m1.2.2.1.6.cmml" xref="alg1.l16.m1.2.2.1.6">𝑘</ci><ci id="alg1.l16.m1.2.2.1.7.cmml" xref="alg1.l16.m1.2.2.1.7">_</ci><ci id="alg1.l16.m1.2.2.1.8.cmml" xref="alg1.l16.m1.2.2.1.8">𝑣</ci><ci id="alg1.l16.m1.2.2.1.9.cmml" xref="alg1.l16.m1.2.2.1.9">𝑎</ci><ci id="alg1.l16.m1.2.2.1.10.cmml" xref="alg1.l16.m1.2.2.1.10">𝑙</ci><ci id="alg1.l16.m1.2.2.1.11.cmml" xref="alg1.l16.m1.2.2.1.11">𝑠</ci><apply id="alg1.l16.m1.2.2.1.1.2.cmml" xref="alg1.l16.m1.2.2.1.1.1"><csymbol cd="latexml" id="alg1.l16.m1.2.2.1.1.2.1.cmml" xref="alg1.l16.m1.2.2.1.1.1.2">delimited-[]</csymbol><apply id="alg1.l16.m1.2.2.1.1.1.1.cmml" xref="alg1.l16.m1.2.2.1.1.1.1"><times id="alg1.l16.m1.2.2.1.1.1.1.1.cmml" xref="alg1.l16.m1.2.2.1.1.1.1.1"></times><ci id="alg1.l16.m1.2.2.1.1.1.1.2.cmml" xref="alg1.l16.m1.2.2.1.1.1.1.2">𝑚</ci><ci id="alg1.l16.m1.2.2.1.1.1.1.3.cmml" xref="alg1.l16.m1.2.2.1.1.1.1.3">𝑎</ci><ci id="alg1.l16.m1.2.2.1.1.1.1.4.cmml" xref="alg1.l16.m1.2.2.1.1.1.1.4">𝑠</ci><ci id="alg1.l16.m1.2.2.1.1.1.1.5.cmml" xref="alg1.l16.m1.2.2.1.1.1.1.5">𝑘</ci></apply></apply></apply></apply></annotation-xml><annotation encoding="application/x-tex" id="alg1.l16.m1.2c">{\mathbf{c_{s}}[j]}\leftarrow\mathbf{c}\cdot topk\_vals[mask]</annotation><annotation encoding="application/x-llamapun" id="alg1.l16.m1.2d">bold_c start_POSTSUBSCRIPT bold_s end_POSTSUBSCRIPT [ italic_j ] ← bold_c ⋅ italic_t italic_o italic_p italic_k _ italic_v italic_a italic_l italic_s [ italic_m italic_a italic_s italic_k ]</annotation></semantics></math> </div> <div class="ltx_listingline" id="alg1.l17"> 17: end for </div> <div class="ltx_listingline" id="alg1.l18"> 18: <math alttext="\mathbf{\sigma_{f}}\leftarrow" class="ltx_Math" display="inline" id="alg1.l18.m1.1"><semantics id="alg1.l18.m1.1a"><mrow id="alg1.l18.m1.1.1" xref="alg1.l18.m1.1.1.cmml"><msub id="alg1.l18.m1.1.1.2" xref="alg1.l18.m1.1.1.2.cmml"><mi id="alg1.l18.m1.1.1.2.2" xref="alg1.l18.m1.1.1.2.2.cmml">σ</mi><mi id="alg1.l18.m1.1.1.2.3" xref="alg1.l18.m1.1.1.2.3.cmml">𝐟</mi></msub><mo id="alg1.l18.m1.1.1.1" stretchy="false" xref="alg1.l18.m1.1.1.1.cmml">←</mo><mi id="alg1.l18.m1.1.1.3" xref="alg1.l18.m1.1.1.3.cmml"></mi></mrow><annotation-xml encoding="MathML-Content" id="alg1.l18.m1.1b"><apply id="alg1.l18.m1.1.1.cmml" xref="alg1.l18.m1.1.1"><ci id="alg1.l18.m1.1.1.1.cmml" xref="alg1.l18.m1.1.1.1">←</ci><apply id="alg1.l18.m1.1.1.2.cmml" xref="alg1.l18.m1.1.1.2"><csymbol cd="ambiguous" id="alg1.l18.m1.1.1.2.1.cmml" xref="alg1.l18.m1.1.1.2">subscript</csymbol><ci id="alg1.l18.m1.1.1.2.2.cmml" xref="alg1.l18.m1.1.1.2.2">𝜎</ci><ci id="alg1.l18.m1.1.1.2.3.cmml" xref="alg1.l18.m1.1.1.2.3">𝐟</ci></apply><csymbol cd="latexml" id="alg1.l18.m1.1.1.3.cmml" xref="alg1.l18.m1.1.1.3">absent</csymbol></apply></annotation-xml><annotation encoding="application/x-tex" id="alg1.l18.m1.1c">\mathbf{\sigma_{f}}\leftarrow</annotation><annotation encoding="application/x-llamapun" id="alg1.l18.m1.1d">italic_σ start_POSTSUBSCRIPT bold_f end_POSTSUBSCRIPT ←</annotation></semantics></math> sum(<math alttext="\mathbf{\sigma}_{s}" class="ltx_Math" display="inline" id="alg1.l18.m2.1"><semantics id="alg1.l18.m2.1a"><msub id="alg1.l18.m2.1.1" xref="alg1.l18.m2.1.1.cmml"><mi id="alg1.l18.m2.1.1.2" xref="alg1.l18.m2.1.1.2.cmml">σ</mi><mi id="alg1.l18.m2.1.1.3" xref="alg1.l18.m2.1.1.3.cmml">s</mi></msub><annotation-xml encoding="MathML-Content" id="alg1.l18.m2.1b"><apply id="alg1.l18.m2.1.1.cmml" xref="alg1.l18.m2.1.1"><csymbol cd="ambiguous" id="alg1.l18.m2.1.1.1.cmml" xref="alg1.l18.m2.1.1">subscript</csymbol><ci id="alg1.l18.m2.1.1.2.cmml" xref="alg1.l18.m2.1.1.2">𝜎</ci><ci id="alg1.l18.m2.1.1.3.cmml" xref="alg1.l18.m2.1.1.3">𝑠</ci></apply></annotation-xml><annotation encoding="application/x-tex" id="alg1.l18.m2.1c">\mathbf{\sigma}_{s}</annotation><annotation encoding="application/x-llamapun" id="alg1.l18.m2.1d">italic_σ start_POSTSUBSCRIPT italic_s end_POSTSUBSCRIPT</annotation></semantics></math>) </div> <div class="ltx_listingline" id="alg1.l19"> 19: <math alttext="\mathbf{c_{f}}\leftarrow" class="ltx_Math" display="inline" id="alg1.l19.m1.1"><semantics id="alg1.l19.m1.1a"><mrow id="alg1.l19.m1.1.1" xref="alg1.l19.m1.1.1.cmml"><msub id="alg1.l19.m1.1.1.2" xref="alg1.l19.m1.1.1.2.cmml"><mi id="alg1.l19.m1.1.1.2.2" xref="alg1.l19.m1.1.1.2.2.cmml">𝐜</mi><mi id="alg1.l19.m1.1.1.2.3" xref="alg1.l19.m1.1.1.2.3.cmml">𝐟</mi></msub><mo id="alg1.l19.m1.1.1.1" stretchy="false" xref="alg1.l19.m1.1.1.1.cmml">←</mo><mi id="alg1.l19.m1.1.1.3" xref="alg1.l19.m1.1.1.3.cmml"></mi></mrow><annotation-xml encoding="MathML-Content" id="alg1.l19.m1.1b"><apply id="alg1.l19.m1.1.1.cmml" xref="alg1.l19.m1.1.1"><ci id="alg1.l19.m1.1.1.1.cmml" xref="alg1.l19.m1.1.1.1">←</ci><apply id="alg1.l19.m1.1.1.2.cmml" xref="alg1.l19.m1.1.1.2"><csymbol cd="ambiguous" id="alg1.l19.m1.1.1.2.1.cmml" xref="alg1.l19.m1.1.1.2">subscript</csymbol><ci id="alg1.l19.m1.1.1.2.2.cmml" xref="alg1.l19.m1.1.1.2.2">𝐜</ci><ci id="alg1.l19.m1.1.1.2.3.cmml" xref="alg1.l19.m1.1.1.2.3">𝐟</ci></apply><csymbol cd="latexml" id="alg1.l19.m1.1.1.3.cmml" xref="alg1.l19.m1.1.1.3">absent</csymbol></apply></annotation-xml><annotation encoding="application/x-tex" id="alg1.l19.m1.1c">\mathbf{c_{f}}\leftarrow</annotation><annotation encoding="application/x-llamapun" id="alg1.l19.m1.1d">bold_c start_POSTSUBSCRIPT bold_f end_POSTSUBSCRIPT ←</annotation></semantics></math> sum(<math alttext="\mathbf{c_{s}}" class="ltx_Math" display="inline" id="alg1.l19.m2.1"><semantics id="alg1.l19.m2.1a"><msub id="alg1.l19.m2.1.1" xref="alg1.l19.m2.1.1.cmml"><mi id="alg1.l19.m2.1.1.2" xref="alg1.l19.m2.1.1.2.cmml">𝐜</mi><mi id="alg1.l19.m2.1.1.3" xref="alg1.l19.m2.1.1.3.cmml">𝐬</mi></msub><annotation-xml encoding="MathML-Content" id="alg1.l19.m2.1b"><apply id="alg1.l19.m2.1.1.cmml" xref="alg1.l19.m2.1.1"><csymbol cd="ambiguous" id="alg1.l19.m2.1.1.1.cmml" xref="alg1.l19.m2.1.1">subscript</csymbol><ci id="alg1.l19.m2.1.1.2.cmml" xref="alg1.l19.m2.1.1.2">𝐜</ci><ci id="alg1.l19.m2.1.1.3.cmml" xref="alg1.l19.m2.1.1.3">𝐬</ci></apply></annotation-xml><annotation encoding="application/x-tex" id="alg1.l19.m2.1c">\mathbf{c_{s}}</annotation><annotation encoding="application/x-llamapun" id="alg1.l19.m2.1d">bold_c start_POSTSUBSCRIPT bold_s end_POSTSUBSCRIPT</annotation></semantics></math>) </div> <div class="ltx_listingline" id="alg1.l20"> 20: <math alttext="\mathbf{colors}\leftarrow" class="ltx_Math" display="inline" id="alg1.l20.m1.1"><semantics id="alg1.l20.m1.1a"><mrow id="alg1.l20.m1.1.1" xref="alg1.l20.m1.1.1.cmml"><mi id="alg1.l20.m1.1.1.2" xref="alg1.l20.m1.1.1.2.cmml">𝐜𝐨𝐥𝐨𝐫𝐬</mi><mo id="alg1.l20.m1.1.1.1" stretchy="false" xref="alg1.l20.m1.1.1.1.cmml">←</mo><mi id="alg1.l20.m1.1.1.3" xref="alg1.l20.m1.1.1.3.cmml"></mi></mrow><annotation-xml encoding="MathML-Content" id="alg1.l20.m1.1b"><apply id="alg1.l20.m1.1.1.cmml" xref="alg1.l20.m1.1.1"><ci id="alg1.l20.m1.1.1.1.cmml" xref="alg1.l20.m1.1.1.1">←</ci><ci id="alg1.l20.m1.1.1.2.cmml" xref="alg1.l20.m1.1.1.2">𝐜𝐨𝐥𝐨𝐫𝐬</ci><csymbol cd="latexml" id="alg1.l20.m1.1.1.3.cmml" xref="alg1.l20.m1.1.1.3">absent</csymbol></apply></annotation-xml><annotation encoding="application/x-tex" id="alg1.l20.m1.1c">\mathbf{colors}\leftarrow</annotation><annotation encoding="application/x-llamapun" id="alg1.l20.m1.1d">bold_colors ←</annotation></semantics></math> volume_rendering(<math alttext="\mathbf{\sigma_{f}}" class="ltx_Math" display="inline" id="alg1.l20.m2.1"><semantics id="alg1.l20.m2.1a"><msub id="alg1.l20.m2.1.1" xref="alg1.l20.m2.1.1.cmml"><mi id="alg1.l20.m2.1.1.2" xref="alg1.l20.m2.1.1.2.cmml">σ</mi><mi id="alg1.l20.m2.1.1.3" xref="alg1.l20.m2.1.1.3.cmml">𝐟</mi></msub><annotation-xml encoding="MathML-Content" id="alg1.l20.m2.1b"><apply id="alg1.l20.m2.1.1.cmml" xref="alg1.l20.m2.1.1"><csymbol cd="ambiguous" id="alg1.l20.m2.1.1.1.cmml" xref="alg1.l20.m2.1.1">subscript</csymbol><ci id="alg1.l20.m2.1.1.2.cmml" xref="alg1.l20.m2.1.1.2">𝜎</ci><ci id="alg1.l20.m2.1.1.3.cmml" xref="alg1.l20.m2.1.1.3">𝐟</ci></apply></annotation-xml><annotation encoding="application/x-tex" id="alg1.l20.m2.1c">\mathbf{\sigma_{f}}</annotation><annotation encoding="application/x-llamapun" id="alg1.l20.m2.1d">italic_σ start_POSTSUBSCRIPT bold_f end_POSTSUBSCRIPT</annotation></semantics></math>, <math alttext="\mathbf{c_{f}}" class="ltx_Math" display="inline" id="alg1.l20.m3.1"><semantics id="alg1.l20.m3.1a"><msub id="alg1.l20.m3.1.1" xref="alg1.l20.m3.1.1.cmml"><mi id="alg1.l20.m3.1.1.2" xref="alg1.l20.m3.1.1.2.cmml">𝐜</mi><mi id="alg1.l20.m3.1.1.3" xref="alg1.l20.m3.1.1.3.cmml">𝐟</mi></msub><annotation-xml encoding="MathML-Content" id="alg1.l20.m3.1b"><apply id="alg1.l20.m3.1.1.cmml" xref="alg1.l20.m3.1.1"><csymbol cd="ambiguous" id="alg1.l20.m3.1.1.1.cmml" xref="alg1.l20.m3.1.1">subscript</csymbol><ci id="alg1.l20.m3.1.1.2.cmml" xref="alg1.l20.m3.1.1.2">𝐜</ci><ci id="alg1.l20.m3.1.1.3.cmml" xref="alg1.l20.m3.1.1.3">𝐟</ci></apply></annotation-xml><annotation encoding="application/x-tex" id="alg1.l20.m3.1c">\mathbf{c_{f}}</annotation><annotation encoding="application/x-llamapun" id="alg1.l20.m3.1d">bold_c start_POSTSUBSCRIPT bold_f end_POSTSUBSCRIPT</annotation></semantics></math>) </div> <div class="ltx_listingline" id="alg1.l21"> 21: <math alttext="L_{\text{tot}}\leftarrow L_{\text{nerf}}(rgb,colors)+\lambda L_{\text{rw-aux}}% (P(\mathbf{x}),W)" class="ltx_Math" display="inline" 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Given that we utilize Fast NeRFs, this phase tends to be rapid. Following this, we construct the Sparsely-Gated Mixture of Experts as outlined in lines 1-4 of the algorithm. The training of the MoE commences at line 4: Given a batch of rays, typically represented by a triplet (origin, direction, and ground truth color), points along the ray are sampled and appropriately filtered. Subsequently, for each point, a probability distribution is computed, indicating the confidence of the gate in assigning each point to each expert (line 8). Based on this probability, the points are delivered to the top-k experts, who calculate, for each point, the density and radiance, which are then multiplied by their corresponding probability value (lines 9-16). The density and radiance values are aggregated, yielding a single array of density and radiance (line 20). Finally, we proceed as usual by computing the pixel color using the volume rendering equation, calculating the loss, and optimizing both the gate and the experts. Our algorithm is tailored for a single GPU, but it can be readily extended to a multi-GPU environment, as the computation of the experts’ output can be parallelized. </div> </section> <section class="ltx_section" id="S9"> <h2 class="ltx_title ltx_title_section"> 9 Resolution Penalties</h2> <div class="ltx_para" id="S9.p1"> We experimented with different resolution-based penalties, namely: linear, geometric progression, and quadratic, defined as follows: <table class="ltx_equation ltx_eqn_table" id="S9.E22"> <tbody><tr class="ltx_equation ltx_eqn_row ltx_align_baseline"> <td class="ltx_eqn_cell ltx_eqn_center_padleft"></td> <td class="ltx_eqn_cell ltx_align_center"><math alttext="\text{linear}:w_{i+1}=w_{i}+k" class="ltx_Math" display="block" id="S9.E22.m1.1"><semantics id="S9.E22.m1.1a"><mrow id="S9.E22.m1.1.1" xref="S9.E22.m1.1.1.cmml"><mtext id="S9.E22.m1.1.1.2" xref="S9.E22.m1.1.1.2a.cmml">linear</mtext><mo id="S9.E22.m1.1.1.1" lspace="0.278em" rspace="0.278em" 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xref="S9.E22.m1.1.1.3.3.3.cmml">k</mi></mrow></mrow></mrow><annotation-xml encoding="MathML-Content" id="S9.E22.m1.1b"><apply id="S9.E22.m1.1.1.cmml" xref="S9.E22.m1.1.1"><ci id="S9.E22.m1.1.1.1.cmml" xref="S9.E22.m1.1.1.1">:</ci><ci id="S9.E22.m1.1.1.2a.cmml" xref="S9.E22.m1.1.1.2"><mtext id="S9.E22.m1.1.1.2.cmml" xref="S9.E22.m1.1.1.2">linear</mtext></ci><apply id="S9.E22.m1.1.1.3.cmml" xref="S9.E22.m1.1.1.3"><eq id="S9.E22.m1.1.1.3.1.cmml" xref="S9.E22.m1.1.1.3.1"></eq><apply id="S9.E22.m1.1.1.3.2.cmml" xref="S9.E22.m1.1.1.3.2"><csymbol cd="ambiguous" id="S9.E22.m1.1.1.3.2.1.cmml" xref="S9.E22.m1.1.1.3.2">subscript</csymbol><ci id="S9.E22.m1.1.1.3.2.2.cmml" xref="S9.E22.m1.1.1.3.2.2">𝑤</ci><apply id="S9.E22.m1.1.1.3.2.3.cmml" xref="S9.E22.m1.1.1.3.2.3"><plus id="S9.E22.m1.1.1.3.2.3.1.cmml" xref="S9.E22.m1.1.1.3.2.3.1"></plus><ci id="S9.E22.m1.1.1.3.2.3.2.cmml" xref="S9.E22.m1.1.1.3.2.3.2">𝑖</ci><cn id="S9.E22.m1.1.1.3.2.3.3.cmml" type="integer" 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<td class="ltx_eqn_cell ltx_eqn_eqno ltx_align_middle ltx_align_right" rowspan="1">(22)</td> </tr></tbody> </table> </div> <div class="ltx_para" id="S9.p2"> <table class="ltx_equation ltx_eqn_table" id="S9.E23"> <tbody><tr class="ltx_equation ltx_eqn_row ltx_align_baseline"> <td class="ltx_eqn_cell ltx_eqn_center_padleft"></td> <td class="ltx_eqn_cell ltx_align_center"><math alttext="\text{geom progr.}:w_{i}=\exp\left(\frac{\ln M}{M-1}\right)^{i}" class="ltx_math_unparsed" display="block" id="S9.E23.m1.2"><semantics id="S9.E23.m1.2a"><mrow id="S9.E23.m1.2b"><mtext id="S9.E23.m1.2.3">geom progr.</mtext><mo id="S9.E23.m1.2.4" lspace="0.278em" rspace="0.278em">:</mo><msub id="S9.E23.m1.2.5"><mi id="S9.E23.m1.2.5.2">w</mi><mi id="S9.E23.m1.2.5.3">i</mi></msub><mo id="S9.E23.m1.2.6">=</mo><mi id="S9.E23.m1.1.1">exp</mi><msup id="S9.E23.m1.2.7"><mrow id="S9.E23.m1.2.7.2"><mo id="S9.E23.m1.2.7.2.1">(</mo><mfrac id="S9.E23.m1.2.2"><mrow id="S9.E23.m1.2.2.2"><mi id="S9.E23.m1.2.2.2.1">ln</mi><mo id="S9.E23.m1.2.2.2a" lspace="0.167em">⁡</mo><mi id="S9.E23.m1.2.2.2.2">M</mi></mrow><mrow id="S9.E23.m1.2.2.3"><mi id="S9.E23.m1.2.2.3.2">M</mi><mo id="S9.E23.m1.2.2.3.1">−</mo><mn id="S9.E23.m1.2.2.3.3">1</mn></mrow></mfrac><mo id="S9.E23.m1.2.7.2.2">)</mo></mrow><mi id="S9.E23.m1.2.7.3">i</mi></msup></mrow><annotation encoding="application/x-tex" id="S9.E23.m1.2c">\text{geom progr.}:w_{i}=\exp\left(\frac{\ln M}{M-1}\right)^{i}</annotation><annotation encoding="application/x-llamapun" id="S9.E23.m1.2d">geom progr. : italic_w start_POSTSUBSCRIPT italic_i end_POSTSUBSCRIPT = roman_exp ( divide start_ARG roman_ln italic_M end_ARG start_ARG italic_M - 1 end_ARG ) start_POSTSUPERSCRIPT italic_i end_POSTSUPERSCRIPT</annotation></semantics></math></td> <td class="ltx_eqn_cell ltx_eqn_center_padright"></td> <td class="ltx_eqn_cell ltx_eqn_eqno ltx_align_middle ltx_align_right" rowspan="1">(23)</td> </tr></tbody> </table> <table class="ltx_equation 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xref="S9.E24.m1.1.1.3.1"></eq><apply id="S9.E24.m1.1.1.3.2.cmml" xref="S9.E24.m1.1.1.3.2"><csymbol cd="ambiguous" id="S9.E24.m1.1.1.3.2.1.cmml" xref="S9.E24.m1.1.1.3.2">subscript</csymbol><ci id="S9.E24.m1.1.1.3.2.2.cmml" xref="S9.E24.m1.1.1.3.2.2">𝑤</ci><apply id="S9.E24.m1.1.1.3.2.3.cmml" xref="S9.E24.m1.1.1.3.2.3"><plus id="S9.E24.m1.1.1.3.2.3.1.cmml" xref="S9.E24.m1.1.1.3.2.3.1"></plus><ci id="S9.E24.m1.1.1.3.2.3.2.cmml" xref="S9.E24.m1.1.1.3.2.3.2">𝑖</ci><cn id="S9.E24.m1.1.1.3.2.3.3.cmml" type="integer" xref="S9.E24.m1.1.1.3.2.3.3">1</cn></apply></apply><apply id="S9.E24.m1.1.1.3.3.cmml" xref="S9.E24.m1.1.1.3.3"><ci id="S9.E24.m1.1.1.3.3.1.cmml" xref="S9.E24.m1.1.1.3.3.1">⋅</ci><cn id="S9.E24.m1.1.1.3.3.2.cmml" type="integer" xref="S9.E24.m1.1.1.3.3.2">2</cn><apply id="S9.E24.m1.1.1.3.3.3.cmml" xref="S9.E24.m1.1.1.3.3.3"><csymbol cd="ambiguous" id="S9.E24.m1.1.1.3.3.3.1.cmml" xref="S9.E24.m1.1.1.3.3.3">subscript</csymbol><ci id="S9.E24.m1.1.1.3.3.3.2.cmml" 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xref="S9.p2.1.m1.3.3.1.2.cmml"><mo id="S9.p2.1.m1.3.3.1.1.2" stretchy="false" xref="S9.p2.1.m1.3.3.1.2.cmml">[</mo><mn id="S9.p2.1.m1.1.1" xref="S9.p2.1.m1.1.1.cmml">0</mn><mo id="S9.p2.1.m1.3.3.1.1.3" xref="S9.p2.1.m1.3.3.1.2.cmml">,</mo><mi id="S9.p2.1.m1.2.2" mathvariant="normal" xref="S9.p2.1.m1.2.2.cmml">…</mi><mo id="S9.p2.1.m1.3.3.1.1.4" xref="S9.p2.1.m1.3.3.1.2.cmml">,</mo><mrow id="S9.p2.1.m1.3.3.1.1.1" xref="S9.p2.1.m1.3.3.1.1.1.cmml"><mi id="S9.p2.1.m1.3.3.1.1.1.2" xref="S9.p2.1.m1.3.3.1.1.1.2.cmml">M</mi><mo id="S9.p2.1.m1.3.3.1.1.1.1" xref="S9.p2.1.m1.3.3.1.1.1.1.cmml">−</mo><mn id="S9.p2.1.m1.3.3.1.1.1.3" xref="S9.p2.1.m1.3.3.1.1.1.3.cmml">1</mn></mrow><mo id="S9.p2.1.m1.3.3.1.1.5" stretchy="false" xref="S9.p2.1.m1.3.3.1.2.cmml">]</mo></mrow></mrow><annotation-xml encoding="MathML-Content" id="S9.p2.1.m1.3b"><apply id="S9.p2.1.m1.3.3.cmml" xref="S9.p2.1.m1.3.3"><in id="S9.p2.1.m1.3.3.2.cmml" xref="S9.p2.1.m1.3.3.2"></in><ci id="S9.p2.1.m1.3.3.3.cmml" xref="S9.p2.1.m1.3.3.3">𝑖</ci><list id="S9.p2.1.m1.3.3.1.2.cmml" xref="S9.p2.1.m1.3.3.1.1"><cn id="S9.p2.1.m1.1.1.cmml" type="integer" xref="S9.p2.1.m1.1.1">0</cn><ci id="S9.p2.1.m1.2.2.cmml" xref="S9.p2.1.m1.2.2">…</ci><apply id="S9.p2.1.m1.3.3.1.1.1.cmml" xref="S9.p2.1.m1.3.3.1.1.1"><minus id="S9.p2.1.m1.3.3.1.1.1.1.cmml" xref="S9.p2.1.m1.3.3.1.1.1.1"></minus><ci id="S9.p2.1.m1.3.3.1.1.1.2.cmml" xref="S9.p2.1.m1.3.3.1.1.1.2">𝑀</ci><cn id="S9.p2.1.m1.3.3.1.1.1.3.cmml" type="integer" xref="S9.p2.1.m1.3.3.1.1.1.3">1</cn></apply></list></apply></annotation-xml><annotation encoding="application/x-tex" id="S9.p2.1.m1.3c">i\in[0,...,M-1]</annotation><annotation encoding="application/x-llamapun" id="S9.p2.1.m1.3d">italic_i ∈ [ 0 , … , italic_M - 1 ]</annotation></semantics></math> and <math alttext="k=1" class="ltx_Math" display="inline" id="S9.p2.2.m2.1"><semantics id="S9.p2.2.m2.1a"><mrow id="S9.p2.2.m2.1.1" xref="S9.p2.2.m2.1.1.cmml"><mi id="S9.p2.2.m2.1.1.2" xref="S9.p2.2.m2.1.1.2.cmml">k</mi><mo id="S9.p2.2.m2.1.1.1" xref="S9.p2.2.m2.1.1.1.cmml">=</mo><mn id="S9.p2.2.m2.1.1.3" xref="S9.p2.2.m2.1.1.3.cmml">1</mn></mrow><annotation-xml encoding="MathML-Content" id="S9.p2.2.m2.1b"><apply id="S9.p2.2.m2.1.1.cmml" xref="S9.p2.2.m2.1.1"><eq id="S9.p2.2.m2.1.1.1.cmml" xref="S9.p2.2.m2.1.1.1"></eq><ci id="S9.p2.2.m2.1.1.2.cmml" xref="S9.p2.2.m2.1.1.2">𝑘</ci><cn id="S9.p2.2.m2.1.1.3.cmml" type="integer" xref="S9.p2.2.m2.1.1.3">1</cn></apply></annotation-xml><annotation encoding="application/x-tex" id="S9.p2.2.m2.1c">k=1</annotation><annotation encoding="application/x-llamapun" id="S9.p2.2.m2.1d">italic_k = 1</annotation></semantics></math>. Considering the results (Tab. <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S9.T3" title="Table 3 ‣ 9 Resolution Penalties ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">3</a>), we opted for the geometric progression as it provides slightly better results. It’s worth noting how introducing such penalties further improves render quality compared to a standard auxiliary loss without resolution penalty (indicated as "none"). </div> <div class="ltx_para" id="S9.p3"> In Fig. <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S9.F9" title="Figure 9 ‣ 9 Resolution Penalties ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">9</a>, we provide a qualitative evaluation of experts’ specialization. With our strategy, we aim to utilize high-resolution models as sparingly as possible. </div> <figure class="ltx_table" id="S9.T3"> <figcaption class="ltx_caption ltx_centering">Table 3: Comparison among different penalty strategies</figcaption> <div class="ltx_inline-block ltx_align_center ltx_transformed_outer" id="S9.T3.2" style="width:216.8pt;height:107pt;vertical-align:-0.0pt;"> <table class="ltx_tabular ltx_guessed_headers ltx_align_middle" id="S9.T3.2.2"> <thead class="ltx_thead"> <tr class="ltx_tr" id="S9.T3.2.2.3.1"> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_th_row ltx_border_r ltx_border_t" id="S9.T3.2.2.3.1.1" rowspan="2">Strategy</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_r ltx_border_t" colspan="2" id="S9.T3.2.2.3.1.2">Top-1</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" colspan="2" id="S9.T3.2.2.3.1.3">Top-2</th> </tr> <tr class="ltx_tr" id="S9.T3.2.2.2"> <th class="ltx_td ltx_align_center ltx_th ltx_th_column" id="S9.T3.2.2.2.3">PSNR</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_r" id="S9.T3.1.1.1.1"><math alttext="\|w\|_{0}" class="ltx_Math" display="inline" id="S9.T3.1.1.1.1.m1.1"><semantics id="S9.T3.1.1.1.1.m1.1a"><msub id="S9.T3.1.1.1.1.m1.1.2" xref="S9.T3.1.1.1.1.m1.1.2.cmml"><mrow id="S9.T3.1.1.1.1.m1.1.2.2.2" xref="S9.T3.1.1.1.1.m1.1.2.2.1.cmml"><mo id="S9.T3.1.1.1.1.m1.1.2.2.2.1" stretchy="false" xref="S9.T3.1.1.1.1.m1.1.2.2.1.1.cmml">‖</mo><mi id="S9.T3.1.1.1.1.m1.1.1" xref="S9.T3.1.1.1.1.m1.1.1.cmml">w</mi><mo id="S9.T3.1.1.1.1.m1.1.2.2.2.2" stretchy="false" xref="S9.T3.1.1.1.1.m1.1.2.2.1.1.cmml">‖</mo></mrow><mn id="S9.T3.1.1.1.1.m1.1.2.3" xref="S9.T3.1.1.1.1.m1.1.2.3.cmml">0</mn></msub><annotation-xml encoding="MathML-Content" id="S9.T3.1.1.1.1.m1.1b"><apply id="S9.T3.1.1.1.1.m1.1.2.cmml" xref="S9.T3.1.1.1.1.m1.1.2"><csymbol cd="ambiguous" id="S9.T3.1.1.1.1.m1.1.2.1.cmml" xref="S9.T3.1.1.1.1.m1.1.2">subscript</csymbol><apply id="S9.T3.1.1.1.1.m1.1.2.2.1.cmml" xref="S9.T3.1.1.1.1.m1.1.2.2.2"><csymbol cd="latexml" id="S9.T3.1.1.1.1.m1.1.2.2.1.1.cmml" xref="S9.T3.1.1.1.1.m1.1.2.2.2.1">norm</csymbol><ci id="S9.T3.1.1.1.1.m1.1.1.cmml" xref="S9.T3.1.1.1.1.m1.1.1">𝑤</ci></apply><cn id="S9.T3.1.1.1.1.m1.1.2.3.cmml" type="integer" xref="S9.T3.1.1.1.1.m1.1.2.3">0</cn></apply></annotation-xml><annotation encoding="application/x-tex" id="S9.T3.1.1.1.1.m1.1c">\|w\|_{0}</annotation><annotation encoding="application/x-llamapun" id="S9.T3.1.1.1.1.m1.1d">∥ italic_w ∥ start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT</annotation></semantics></math></th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column" id="S9.T3.2.2.2.4">PSNR</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column" id="S9.T3.2.2.2.2"><math alttext="\|w\|_{0}" class="ltx_Math" display="inline" id="S9.T3.2.2.2.2.m1.1"><semantics id="S9.T3.2.2.2.2.m1.1a"><msub id="S9.T3.2.2.2.2.m1.1.2" xref="S9.T3.2.2.2.2.m1.1.2.cmml"><mrow id="S9.T3.2.2.2.2.m1.1.2.2.2" xref="S9.T3.2.2.2.2.m1.1.2.2.1.cmml"><mo id="S9.T3.2.2.2.2.m1.1.2.2.2.1" stretchy="false" xref="S9.T3.2.2.2.2.m1.1.2.2.1.1.cmml">‖</mo><mi id="S9.T3.2.2.2.2.m1.1.1" xref="S9.T3.2.2.2.2.m1.1.1.cmml">w</mi><mo id="S9.T3.2.2.2.2.m1.1.2.2.2.2" stretchy="false" xref="S9.T3.2.2.2.2.m1.1.2.2.1.1.cmml">‖</mo></mrow><mn id="S9.T3.2.2.2.2.m1.1.2.3" xref="S9.T3.2.2.2.2.m1.1.2.3.cmml">0</mn></msub><annotation-xml encoding="MathML-Content" id="S9.T3.2.2.2.2.m1.1b"><apply id="S9.T3.2.2.2.2.m1.1.2.cmml" xref="S9.T3.2.2.2.2.m1.1.2"><csymbol cd="ambiguous" id="S9.T3.2.2.2.2.m1.1.2.1.cmml" xref="S9.T3.2.2.2.2.m1.1.2">subscript</csymbol><apply id="S9.T3.2.2.2.2.m1.1.2.2.1.cmml" xref="S9.T3.2.2.2.2.m1.1.2.2.2"><csymbol cd="latexml" id="S9.T3.2.2.2.2.m1.1.2.2.1.1.cmml" xref="S9.T3.2.2.2.2.m1.1.2.2.2.1">norm</csymbol><ci id="S9.T3.2.2.2.2.m1.1.1.cmml" xref="S9.T3.2.2.2.2.m1.1.1">𝑤</ci></apply><cn id="S9.T3.2.2.2.2.m1.1.2.3.cmml" type="integer" xref="S9.T3.2.2.2.2.m1.1.2.3">0</cn></apply></annotation-xml><annotation encoding="application/x-tex" id="S9.T3.2.2.2.2.m1.1c">\|w\|_{0}</annotation><annotation encoding="application/x-llamapun" id="S9.T3.2.2.2.2.m1.1d">∥ italic_w ∥ start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT</annotation></semantics></math></th> </tr> </thead> <tbody class="ltx_tbody"> <tr class="ltx_tr" id="S9.T3.2.2.4.1"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r ltx_border_t" id="S9.T3.2.2.4.1.1">none</th> <td class="ltx_td ltx_align_center ltx_border_t" id="S9.T3.2.2.4.1.2">33.41</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S9.T3.2.2.4.1.3">32</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S9.T3.2.2.4.1.4">33.61</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S9.T3.2.2.4.1.5">56</td> </tr> <tr class="ltx_tr" id="S9.T3.2.2.5.2"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S9.T3.2.2.5.2.1">geom. progr.</th> <td class="ltx_td ltx_align_center" id="S9.T3.2.2.5.2.2">33.43</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S9.T3.2.2.5.2.3">26</td> <td class="ltx_td ltx_align_center" id="S9.T3.2.2.5.2.4">33.74</td> <td class="ltx_td ltx_align_center" id="S9.T3.2.2.5.2.5">39</td> </tr> <tr class="ltx_tr" id="S9.T3.2.2.6.3"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S9.T3.2.2.6.3.1">quadratic</th> <td class="ltx_td ltx_align_center" id="S9.T3.2.2.6.3.2">33.31</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S9.T3.2.2.6.3.3">20</td> <td class="ltx_td ltx_align_center" id="S9.T3.2.2.6.3.4">33.64</td> <td class="ltx_td ltx_align_center" id="S9.T3.2.2.6.3.5">37</td> </tr> <tr class="ltx_tr" id="S9.T3.2.2.7.4"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_b ltx_border_r" id="S9.T3.2.2.7.4.1">linear</th> <td class="ltx_td ltx_align_center ltx_border_b" id="S9.T3.2.2.7.4.2">33.41</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r" id="S9.T3.2.2.7.4.3">32</td> <td class="ltx_td ltx_align_center ltx_border_b" id="S9.T3.2.2.7.4.4">33.63</td> <td class="ltx_td ltx_align_center ltx_border_b" id="S9.T3.2.2.7.4.5">36</td> </tr> </tbody> </table> </div> </figure> <figure class="ltx_figure" id="S9.F9"><img alt="Refer to caption" class="ltx_graphics ltx_centering ltx_img_landscape" height="493" id="S9.F9.g1" src="x16.png" width="747"/> <figcaption class="ltx_caption ltx_centering">Figure 9: Per-experts outputs with a MoE of 5 NeRFs and top-2 with different resolution penalties. Experts’ output are ordered by increasing resolution. </figcaption> </figure> </section> <section class="ltx_section" id="S10"> <h2 class="ltx_title ltx_title_section"> 10 Visualizing Experts Specialization</h2> <div class="ltx_para" id="S10.p1"> In Fig. <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S10.F10" title="Figure 10 ‣ 10 Visualizing Experts Specialization ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">10</a> and <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S10.F11" title="Figure 11 ‣ 10 Visualizing Experts Specialization ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">11</a> we show the output for each expert in the MoE with <math alttext="M=5" class="ltx_Math" display="inline" id="S10.p1.1.m1.1"><semantics id="S10.p1.1.m1.1a"><mrow id="S10.p1.1.m1.1.1" xref="S10.p1.1.m1.1.1.cmml"><mi id="S10.p1.1.m1.1.1.2" xref="S10.p1.1.m1.1.1.2.cmml">M</mi><mo id="S10.p1.1.m1.1.1.1" xref="S10.p1.1.m1.1.1.1.cmml">=</mo><mn id="S10.p1.1.m1.1.1.3" xref="S10.p1.1.m1.1.1.3.cmml">5</mn></mrow><annotation-xml encoding="MathML-Content" id="S10.p1.1.m1.1b"><apply id="S10.p1.1.m1.1.1.cmml" xref="S10.p1.1.m1.1.1"><eq id="S10.p1.1.m1.1.1.1.cmml" xref="S10.p1.1.m1.1.1.1"></eq><ci id="S10.p1.1.m1.1.1.2.cmml" xref="S10.p1.1.m1.1.1.2">𝑀</ci><cn id="S10.p1.1.m1.1.1.3.cmml" type="integer" xref="S10.p1.1.m1.1.1.3">5</cn></apply></annotation-xml><annotation encoding="application/x-tex" id="S10.p1.1.m1.1c">M=5</annotation><annotation encoding="application/x-llamapun" id="S10.p1.1.m1.1d">italic_M = 5</annotation></semantics></math>, with respectively Top-<math alttext="1" class="ltx_Math" display="inline" id="S10.p1.2.m2.1"><semantics id="S10.p1.2.m2.1a"><mn id="S10.p1.2.m2.1.1" xref="S10.p1.2.m2.1.1.cmml">1</mn><annotation-xml encoding="MathML-Content" id="S10.p1.2.m2.1b"><cn id="S10.p1.2.m2.1.1.cmml" type="integer" xref="S10.p1.2.m2.1.1">1</cn></annotation-xml><annotation encoding="application/x-tex" id="S10.p1.2.m2.1c">1</annotation><annotation encoding="application/x-llamapun" id="S10.p1.2.m2.1d">1</annotation></semantics></math> and Top-<math alttext="2" class="ltx_Math" display="inline" id="S10.p1.3.m3.1"><semantics id="S10.p1.3.m3.1a"><mn id="S10.p1.3.m3.1.1" xref="S10.p1.3.m3.1.1.cmml">2</mn><annotation-xml encoding="MathML-Content" id="S10.p1.3.m3.1b"><cn id="S10.p1.3.m3.1.1.cmml" type="integer" xref="S10.p1.3.m3.1.1">2</cn></annotation-xml><annotation encoding="application/x-tex" id="S10.p1.3.m3.1c">2</annotation><annotation encoding="application/x-llamapun" id="S10.p1.3.m3.1d">2</annotation></semantics></math> function and resolution penalty. </div> <figure class="ltx_figure" id="S10.F10"><img alt="Refer to caption" class="ltx_graphics ltx_centering ltx_img_portrait" height="872" id="S10.F10.g1" src="x17.png" width="515"/> <figcaption class="ltx_caption ltx_centering">Figure 10: Per-expert output with Top-1 and 5 experts. Outputs are ordered from left to right by increasing experts’ resolution.</figcaption> </figure> <figure class="ltx_figure" id="S10.F11"><img alt="Refer to caption" class="ltx_graphics ltx_centering ltx_img_portrait" height="872" id="S10.F11.g1" src="x18.png" width="515"/> <figcaption class="ltx_caption ltx_centering">Figure 11: Per-expert output with Top-2 and 5 experts. Outputs are ordered from left to right by increasing experts’ resolution.</figcaption> </figure> </section> <section class="ltx_section" id="S11"> <h2 class="ltx_title ltx_title_section"> 11 Comparison with SoTA Methods</h2> <div class="ltx_para" id="S11.p1"> Although our goal was to focus on fast models and improve reconstruction quality at a lower computational cost compared to their baseline counterparts, our method achieves comparable (and often superior) accuracy to explicit models. Table <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S11.T4" title="Table 4 ‣ 11 Comparison with SoTA Methods ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">4</a> presents a comparison with three state-of-the-art implicit models: Mip-NeRF <cite class="ltx_cite ltx_citemacro_cite">[<a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#bib.bib1" title="">1</a>]</cite>, Mip-NeRF 360 <cite class="ltx_cite ltx_citemacro_cite">[<a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#bib.bib2" title="">2</a>]</cite> and Zip-NeRF <cite class="ltx_cite ltx_citemacro_cite">[<a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#bib.bib3" title="">3</a>]</cite>. Training times refers to a single GPU configuration (NVIDIA A40). Mip-NeRF was trained for <math alttext="1000000" class="ltx_Math" display="inline" id="S11.p1.1.m1.1"><semantics id="S11.p1.1.m1.1a"><mn id="S11.p1.1.m1.1.1" xref="S11.p1.1.m1.1.1.cmml">1000000</mn><annotation-xml encoding="MathML-Content" id="S11.p1.1.m1.1b"><cn id="S11.p1.1.m1.1.1.cmml" type="integer" xref="S11.p1.1.m1.1.1">1000000</cn></annotation-xml><annotation encoding="application/x-tex" id="S11.p1.1.m1.1c">1000000</annotation><annotation encoding="application/x-llamapun" id="S11.p1.1.m1.1d">1000000</annotation></semantics></math> iterations; Mip-NeRF 360 and Zip-NeRF for <math alttext="200000" class="ltx_Math" display="inline" id="S11.p1.2.m2.1"><semantics id="S11.p1.2.m2.1a"><mn id="S11.p1.2.m2.1.1" xref="S11.p1.2.m2.1.1.cmml">200000</mn><annotation-xml encoding="MathML-Content" id="S11.p1.2.m2.1b"><cn id="S11.p1.2.m2.1.1.cmml" type="integer" xref="S11.p1.2.m2.1.1">200000</cn></annotation-xml><annotation encoding="application/x-tex" id="S11.p1.2.m2.1c">200000</annotation><annotation encoding="application/x-llamapun" id="S11.p1.2.m2.1d">200000</annotation></semantics></math> iterations. </div> <figure class="ltx_table" id="S11.T4"> <figcaption class="ltx_caption ltx_centering">Table 4: Comparison among boosted Fast-NeRF and implicit SoTA methods on Synthetic-NeRF dataset.</figcaption> <div class="ltx_inline-block ltx_align_center ltx_transformed_outer" id="S11.T4.3" style="width:216.8pt;height:184.6pt;vertical-align:-0.0pt;"> <table class="ltx_tabular ltx_guessed_headers ltx_align_middle" id="S11.T4.3.3"> <thead class="ltx_thead"> <tr class="ltx_tr" id="S11.T4.3.3.3"> <th class="ltx_td ltx_th ltx_th_row ltx_border_t" id="S11.T4.3.3.3.4"></th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S11.T4.1.1.1.1">PSNR<math alttext="\uparrow" class="ltx_Math" display="inline" id="S11.T4.1.1.1.1.1.m1.1"><semantics id="S11.T4.1.1.1.1.1.m1.1a"><mo id="S11.T4.1.1.1.1.1.m1.1.1" stretchy="false" xref="S11.T4.1.1.1.1.1.m1.1.1.cmml">↑</mo><annotation-xml encoding="MathML-Content" id="S11.T4.1.1.1.1.1.m1.1b"><ci id="S11.T4.1.1.1.1.1.m1.1.1.cmml" xref="S11.T4.1.1.1.1.1.m1.1.1">↑</ci></annotation-xml><annotation encoding="application/x-tex" id="S11.T4.1.1.1.1.1.m1.1c">\uparrow</annotation><annotation encoding="application/x-llamapun" id="S11.T4.1.1.1.1.1.m1.1d">↑</annotation></semantics></math></th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S11.T4.2.2.2.2"> SSIM <math alttext="\uparrow" class="ltx_Math" display="inline" id="S11.T4.2.2.2.2.m1.1"><semantics id="S11.T4.2.2.2.2.m1.1a"><mo id="S11.T4.2.2.2.2.m1.1.1" stretchy="false" xref="S11.T4.2.2.2.2.m1.1.1.cmml">↑</mo><annotation-xml encoding="MathML-Content" id="S11.T4.2.2.2.2.m1.1b"><ci id="S11.T4.2.2.2.2.m1.1.1.cmml" xref="S11.T4.2.2.2.2.m1.1.1">↑</ci></annotation-xml><annotation encoding="application/x-tex" id="S11.T4.2.2.2.2.m1.1c">\uparrow</annotation><annotation encoding="application/x-llamapun" id="S11.T4.2.2.2.2.m1.1d">↑</annotation></semantics></math> </th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S11.T4.3.3.3.3"> Time <math alttext="\downarrow" class="ltx_Math" display="inline" id="S11.T4.3.3.3.3.m1.1"><semantics id="S11.T4.3.3.3.3.m1.1a"><mo id="S11.T4.3.3.3.3.m1.1.1" stretchy="false" xref="S11.T4.3.3.3.3.m1.1.1.cmml">↓</mo><annotation-xml encoding="MathML-Content" id="S11.T4.3.3.3.3.m1.1b"><ci id="S11.T4.3.3.3.3.m1.1.1.cmml" xref="S11.T4.3.3.3.3.m1.1.1">↓</ci></annotation-xml><annotation encoding="application/x-tex" id="S11.T4.3.3.3.3.m1.1c">\downarrow</annotation><annotation encoding="application/x-llamapun" id="S11.T4.3.3.3.3.m1.1d">↓</annotation></semantics></math> </th> </tr> </thead> <tbody class="ltx_tbody"> <tr class="ltx_tr" id="S11.T4.3.3.4.1"> <th class="ltx_td ltx_align_left ltx_th ltx_th_row ltx_border_t" id="S11.T4.3.3.4.1.1">DVGO Top-1 </th> <td class="ltx_td ltx_align_center ltx_border_t" id="S11.T4.3.3.4.1.2">33.43</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S11.T4.3.3.4.1.3">0.964</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S11.T4.3.3.4.1.4">21’</td> </tr> <tr class="ltx_tr" id="S11.T4.3.3.5.2"> <th class="ltx_td ltx_align_left ltx_th ltx_th_row" id="S11.T4.3.3.5.2.1">TensoRF Top-1 </th> <td class="ltx_td ltx_align_center" id="S11.T4.3.3.5.2.2">33.68</td> <td class="ltx_td ltx_align_center" id="S11.T4.3.3.5.2.3">0.965</td> <td class="ltx_td ltx_align_center" id="S11.T4.3.3.5.2.4">69’</td> </tr> <tr class="ltx_tr" id="S11.T4.3.3.6.3"> <th class="ltx_td ltx_align_left ltx_th ltx_th_row" id="S11.T4.3.3.6.3.1">iNGP Top-1 </th> <td class="ltx_td ltx_align_center" id="S11.T4.3.3.6.3.2">33.56</td> <td class="ltx_td ltx_align_center" id="S11.T4.3.3.6.3.3">0.963</td> <td class="ltx_td ltx_align_center" id="S11.T4.3.3.6.3.4">32’</td> </tr> <tr class="ltx_tr" id="S11.T4.3.3.7.4"> <th class="ltx_td ltx_align_left ltx_th ltx_th_row ltx_border_t" id="S11.T4.3.3.7.4.1">DVGO Top-2 </th> <td class="ltx_td ltx_align_center ltx_border_t" id="S11.T4.3.3.7.4.2">33.74</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S11.T4.3.3.7.4.3">0.965</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S11.T4.3.3.7.4.4">25’</td> </tr> <tr class="ltx_tr" id="S11.T4.3.3.8.5"> <th class="ltx_td ltx_align_left ltx_th ltx_th_row" id="S11.T4.3.3.8.5.1">TensoRF Top-2 </th> <td class="ltx_td ltx_align_center" id="S11.T4.3.3.8.5.2">34.09</td> <td class="ltx_td ltx_align_center" id="S11.T4.3.3.8.5.3">0.968</td> <td class="ltx_td ltx_align_center" id="S11.T4.3.3.8.5.4">76’</td> </tr> <tr class="ltx_tr" id="S11.T4.3.3.9.6"> <th class="ltx_td ltx_align_left ltx_th ltx_th_row" id="S11.T4.3.3.9.6.1">iNGP Top-2 </th> <td class="ltx_td ltx_align_center" id="S11.T4.3.3.9.6.2">33.83</td> <td class="ltx_td ltx_align_center" id="S11.T4.3.3.9.6.3">0.965</td> <td class="ltx_td ltx_align_center" id="S11.T4.3.3.9.6.4">34’</td> </tr> <tr class="ltx_tr" id="S11.T4.3.3.10.7"> <th class="ltx_td ltx_align_left ltx_th ltx_th_row ltx_border_t" id="S11.T4.3.3.10.7.1">Mip-NeRF</th> <td class="ltx_td ltx_align_center ltx_border_t" id="S11.T4.3.3.10.7.2">33.09</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S11.T4.3.3.10.7.3">0.961</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S11.T4.3.3.10.7.4">16h</td> </tr> <tr class="ltx_tr" id="S11.T4.3.3.11.8"> <th class="ltx_td ltx_align_left ltx_th ltx_th_row" id="S11.T4.3.3.11.8.1">Mip-NeRF360</th> <td class="ltx_td ltx_align_center" id="S11.T4.3.3.11.8.2">32.96</td> <td class="ltx_td ltx_align_center" id="S11.T4.3.3.11.8.3">0.960</td> <td class="ltx_td ltx_align_center" id="S11.T4.3.3.11.8.4">5h</td> </tr> <tr class="ltx_tr" id="S11.T4.3.3.12.9"> <th class="ltx_td ltx_align_left ltx_th ltx_th_row ltx_border_b" id="S11.T4.3.3.12.9.1">Zip-NeRF</th> <td class="ltx_td ltx_align_center ltx_border_b" id="S11.T4.3.3.12.9.2">33.69</td> <td class="ltx_td ltx_align_center ltx_border_b" id="S11.T4.3.3.12.9.3">0.973</td> <td class="ltx_td ltx_align_center ltx_border_b" id="S11.T4.3.3.12.9.4">7h</td> </tr> </tbody> </table> </div> </figure> </section> <section class="ltx_section" id="S12"> <h2 class="ltx_title ltx_title_section"> 12 Additional Results</h2> <div class="ltx_para" id="S12.p1"> In this section, we present additional results for DVGO, TensoRF, and Instant-NGP with varying values of <math alttext="M={3,4,5}" class="ltx_Math" display="inline" id="S12.p1.1.m1.3"><semantics id="S12.p1.1.m1.3a"><mrow id="S12.p1.1.m1.3.4" xref="S12.p1.1.m1.3.4.cmml"><mi id="S12.p1.1.m1.3.4.2" xref="S12.p1.1.m1.3.4.2.cmml">M</mi><mo id="S12.p1.1.m1.3.4.1" xref="S12.p1.1.m1.3.4.1.cmml">=</mo><mrow id="S12.p1.1.m1.3.4.3.2" xref="S12.p1.1.m1.3.4.3.1.cmml"><mn id="S12.p1.1.m1.1.1" xref="S12.p1.1.m1.1.1.cmml">3</mn><mo id="S12.p1.1.m1.3.4.3.2.1" xref="S12.p1.1.m1.3.4.3.1.cmml">,</mo><mn id="S12.p1.1.m1.2.2" xref="S12.p1.1.m1.2.2.cmml">4</mn><mo id="S12.p1.1.m1.3.4.3.2.2" xref="S12.p1.1.m1.3.4.3.1.cmml">,</mo><mn id="S12.p1.1.m1.3.3" xref="S12.p1.1.m1.3.3.cmml">5</mn></mrow></mrow><annotation-xml encoding="MathML-Content" id="S12.p1.1.m1.3b"><apply id="S12.p1.1.m1.3.4.cmml" xref="S12.p1.1.m1.3.4"><eq id="S12.p1.1.m1.3.4.1.cmml" xref="S12.p1.1.m1.3.4.1"></eq><ci id="S12.p1.1.m1.3.4.2.cmml" xref="S12.p1.1.m1.3.4.2">𝑀</ci><list id="S12.p1.1.m1.3.4.3.1.cmml" xref="S12.p1.1.m1.3.4.3.2"><cn id="S12.p1.1.m1.1.1.cmml" type="integer" xref="S12.p1.1.m1.1.1">3</cn><cn id="S12.p1.1.m1.2.2.cmml" type="integer" xref="S12.p1.1.m1.2.2">4</cn><cn id="S12.p1.1.m1.3.3.cmml" type="integer" xref="S12.p1.1.m1.3.3">5</cn></list></apply></annotation-xml><annotation encoding="application/x-tex" id="S12.p1.1.m1.3c">M={3,4,5}</annotation><annotation encoding="application/x-llamapun" id="S12.p1.1.m1.3d">italic_M = 3 , 4 , 5</annotation></semantics></math>. In Table <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S12.T5" title="Table 5 ‣ 12 Additional Results ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">5</a> and Figure <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S12.F12" title="Figure 12 ‣ 12 Additional Results ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">12</a>, we provide aggregated results for all the tested datasets on DVGO, including plots of PSNR/GLOPS and PSNR/<math alttext="\|w\|_{0}" class="ltx_Math" display="inline" id="S12.p1.2.m2.1"><semantics id="S12.p1.2.m2.1a"><msub id="S12.p1.2.m2.1.2" xref="S12.p1.2.m2.1.2.cmml"><mrow id="S12.p1.2.m2.1.2.2.2" xref="S12.p1.2.m2.1.2.2.1.cmml"><mo id="S12.p1.2.m2.1.2.2.2.1" stretchy="false" xref="S12.p1.2.m2.1.2.2.1.1.cmml">‖</mo><mi id="S12.p1.2.m2.1.1" xref="S12.p1.2.m2.1.1.cmml">w</mi><mo id="S12.p1.2.m2.1.2.2.2.2" stretchy="false" xref="S12.p1.2.m2.1.2.2.1.1.cmml">‖</mo></mrow><mn id="S12.p1.2.m2.1.2.3" xref="S12.p1.2.m2.1.2.3.cmml">0</mn></msub><annotation-xml encoding="MathML-Content" id="S12.p1.2.m2.1b"><apply id="S12.p1.2.m2.1.2.cmml" xref="S12.p1.2.m2.1.2"><csymbol cd="ambiguous" id="S12.p1.2.m2.1.2.1.cmml" xref="S12.p1.2.m2.1.2">subscript</csymbol><apply id="S12.p1.2.m2.1.2.2.1.cmml" xref="S12.p1.2.m2.1.2.2.2"><csymbol cd="latexml" id="S12.p1.2.m2.1.2.2.1.1.cmml" xref="S12.p1.2.m2.1.2.2.2.1">norm</csymbol><ci id="S12.p1.2.m2.1.1.cmml" xref="S12.p1.2.m2.1.1">𝑤</ci></apply><cn id="S12.p1.2.m2.1.2.3.cmml" type="integer" xref="S12.p1.2.m2.1.2.3">0</cn></apply></annotation-xml><annotation encoding="application/x-tex" id="S12.p1.2.m2.1c">\|w\|_{0}</annotation><annotation encoding="application/x-llamapun" id="S12.p1.2.m2.1d">∥ italic_w ∥ start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT</annotation></semantics></math>. Similarly, in Table <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S12.T6" title="Table 6 ‣ 12 Additional Results ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">6</a> and Figure <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S12.F13" title="Figure 13 ‣ 12 Additional Results ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">13</a>, we present the results for TensoRF. The results for Instant-NGP are shown in Table <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S12.T7" title="Table 7 ‣ 12 Additional Results ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">7</a> and Figure <a class="ltx_ref" href="https://arxiv.org/html/2407.10389v3#S12.F14" title="Figure 14 ‣ 12 Additional Results ‣ Boost Your NeRF: A Model-Agnostic Mixture of Experts Framework for High Quality and Efficient Rendering">14</a>. </div> <figure class="ltx_table" id="S12.T5"> <figcaption class="ltx_caption">Table 5: Aggregated results on DVGO</figcaption> <div class="ltx_inline-block ltx_transformed_outer" id="S12.T5.24" style="width:433.6pt;height:354.3pt;vertical-align:-0.0pt;"> <table class="ltx_tabular ltx_guessed_headers ltx_align_middle" id="S12.T5.24.24"> <tbody class="ltx_tbody"> <tr class="ltx_tr" id="S12.T5.24.24.25.1"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_t" id="S12.T5.24.24.25.1.1" rowspan="2">Dataset</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_t" id="S12.T5.24.24.25.1.2" rowspan="2">Metrics</th> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" colspan="4" id="S12.T5.24.24.25.1.3">M=3</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" colspan="4" id="S12.T5.24.24.25.1.4">M=4</td> <td class="ltx_td ltx_align_center ltx_border_t" colspan="4" id="S12.T5.24.24.25.1.5">M=5</td> </tr> <tr class="ltx_tr" id="S12.T5.24.24.26.2"> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T5.24.24.26.2.1">baseline</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T5.24.24.26.2.2">Top-1</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T5.24.24.26.2.3">Top-2</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T5.24.24.26.2.4">Ens</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T5.24.24.26.2.5">baseline</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T5.24.24.26.2.6">Top-1</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T5.24.24.26.2.7">Top-2</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T5.24.24.26.2.8">Ens</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T5.24.24.26.2.9">baseline</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T5.24.24.26.2.10">Top-1</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T5.24.24.26.2.11">Top-2</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T5.24.24.26.2.12">Ens</td> </tr> <tr class="ltx_tr" id="S12.T5.1.1.1"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r ltx_border_t" id="S12.T5.1.1.1.2" rowspan="5">Blender</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r ltx_border_t" id="S12.T5.1.1.1.1">PSNR<math alttext="~{}\uparrow" class="ltx_Math" display="inline" id="S12.T5.1.1.1.1.1.m1.1"><semantics id="S12.T5.1.1.1.1.1.m1.1a"><mo id="S12.T5.1.1.1.1.1.m1.1.1" stretchy="false" xref="S12.T5.1.1.1.1.1.m1.1.1.cmml">↑</mo><annotation-xml encoding="MathML-Content" id="S12.T5.1.1.1.1.1.m1.1b"><ci id="S12.T5.1.1.1.1.1.m1.1.1.cmml" xref="S12.T5.1.1.1.1.1.m1.1.1">↑</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T5.1.1.1.1.1.m1.1c">~{}\uparrow</annotation><annotation encoding="application/x-llamapun" id="S12.T5.1.1.1.1.1.m1.1d">↑</annotation></semantics></math></th> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T5.1.1.1.3">32.97</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T5.1.1.1.4">33.17</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T5.1.1.1.5">33.31</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T5.1.1.1.6">33.35</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T5.1.1.1.7">33.07</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T5.1.1.1.8">33.34</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T5.1.1.1.9">33.53</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T5.1.1.1.10">33.61</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T5.1.1.1.11">33.04</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T5.1.1.1.12">33.43</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T5.1.1.1.13">33.74</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T5.1.1.1.14">33.79</td> </tr> <tr class="ltx_tr" id="S12.T5.2.2.2"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T5.2.2.2.1"> SSIM <math alttext="\uparrow" class="ltx_Math" display="inline" id="S12.T5.2.2.2.1.m1.1"><semantics id="S12.T5.2.2.2.1.m1.1a"><mo id="S12.T5.2.2.2.1.m1.1.1" stretchy="false" xref="S12.T5.2.2.2.1.m1.1.1.cmml">↑</mo><annotation-xml encoding="MathML-Content" id="S12.T5.2.2.2.1.m1.1b"><ci id="S12.T5.2.2.2.1.m1.1.1.cmml" xref="S12.T5.2.2.2.1.m1.1.1">↑</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T5.2.2.2.1.m1.1c">\uparrow</annotation><annotation encoding="application/x-llamapun" id="S12.T5.2.2.2.1.m1.1d">↑</annotation></semantics></math> </th> <td class="ltx_td ltx_align_center" id="S12.T5.2.2.2.2">0.962</td> <td class="ltx_td ltx_align_center" id="S12.T5.2.2.2.3">0.962</td> <td class="ltx_td ltx_align_center" id="S12.T5.2.2.2.4">0.964</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T5.2.2.2.5">0.964</td> <td class="ltx_td ltx_align_center" id="S12.T5.2.2.2.6">0.963</td> <td class="ltx_td ltx_align_center" id="S12.T5.2.2.2.7">0.963</td> <td class="ltx_td ltx_align_center" id="S12.T5.2.2.2.8">0.965</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T5.2.2.2.9">0.965</td> <td class="ltx_td ltx_align_center" id="S12.T5.2.2.2.10">0.963</td> <td class="ltx_td ltx_align_center" id="S12.T5.2.2.2.11">0.964</td> <td class="ltx_td ltx_align_center" id="S12.T5.2.2.2.12">0.965</td> <td class="ltx_td ltx_align_center" id="S12.T5.2.2.2.13">0.966</td> </tr> <tr class="ltx_tr" id="S12.T5.3.3.3"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T5.3.3.3.1"> LPIPS <math alttext="\downarrow" class="ltx_Math" display="inline" id="S12.T5.3.3.3.1.m1.1"><semantics id="S12.T5.3.3.3.1.m1.1a"><mo id="S12.T5.3.3.3.1.m1.1.1" stretchy="false" xref="S12.T5.3.3.3.1.m1.1.1.cmml">↓</mo><annotation-xml encoding="MathML-Content" id="S12.T5.3.3.3.1.m1.1b"><ci id="S12.T5.3.3.3.1.m1.1.1.cmml" xref="S12.T5.3.3.3.1.m1.1.1">↓</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T5.3.3.3.1.m1.1c">\downarrow</annotation><annotation encoding="application/x-llamapun" id="S12.T5.3.3.3.1.m1.1d">↓</annotation></semantics></math> </th> <td class="ltx_td ltx_align_center" id="S12.T5.3.3.3.2">0.026</td> <td class="ltx_td ltx_align_center" id="S12.T5.3.3.3.3">0.026</td> <td class="ltx_td ltx_align_center" id="S12.T5.3.3.3.4">0.025</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T5.3.3.3.5">0.025</td> <td class="ltx_td ltx_align_center" id="S12.T5.3.3.3.6">0.025</td> <td class="ltx_td ltx_align_center" id="S12.T5.3.3.3.7">0.025</td> <td class="ltx_td ltx_align_center" id="S12.T5.3.3.3.8">0.024</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T5.3.3.3.9">0.023</td> <td class="ltx_td ltx_align_center" id="S12.T5.3.3.3.10">0.026</td> <td class="ltx_td ltx_align_center" id="S12.T5.3.3.3.11">0.024</td> <td class="ltx_td ltx_align_center" id="S12.T5.3.3.3.12">0.022</td> <td class="ltx_td ltx_align_center" id="S12.T5.3.3.3.13">0.022</td> </tr> <tr class="ltx_tr" id="S12.T5.4.4.4"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T5.4.4.4.1"><math alttext="\|w\|_{0}\downarrow" class="ltx_Math" display="inline" id="S12.T5.4.4.4.1.m1.1"><semantics id="S12.T5.4.4.4.1.m1.1a"><mrow id="S12.T5.4.4.4.1.m1.1.2" xref="S12.T5.4.4.4.1.m1.1.2.cmml"><msub id="S12.T5.4.4.4.1.m1.1.2.2" xref="S12.T5.4.4.4.1.m1.1.2.2.cmml"><mrow id="S12.T5.4.4.4.1.m1.1.2.2.2.2" xref="S12.T5.4.4.4.1.m1.1.2.2.2.1.cmml"><mo id="S12.T5.4.4.4.1.m1.1.2.2.2.2.1" stretchy="false" xref="S12.T5.4.4.4.1.m1.1.2.2.2.1.1.cmml">‖</mo><mi id="S12.T5.4.4.4.1.m1.1.1" xref="S12.T5.4.4.4.1.m1.1.1.cmml">w</mi><mo id="S12.T5.4.4.4.1.m1.1.2.2.2.2.2" stretchy="false" xref="S12.T5.4.4.4.1.m1.1.2.2.2.1.1.cmml">‖</mo></mrow><mn id="S12.T5.4.4.4.1.m1.1.2.2.3" xref="S12.T5.4.4.4.1.m1.1.2.2.3.cmml">0</mn></msub><mo id="S12.T5.4.4.4.1.m1.1.2.1" stretchy="false" xref="S12.T5.4.4.4.1.m1.1.2.1.cmml">↓</mo><mi id="S12.T5.4.4.4.1.m1.1.2.3" xref="S12.T5.4.4.4.1.m1.1.2.3.cmml"></mi></mrow><annotation-xml encoding="MathML-Content" id="S12.T5.4.4.4.1.m1.1b"><apply id="S12.T5.4.4.4.1.m1.1.2.cmml" xref="S12.T5.4.4.4.1.m1.1.2"><ci id="S12.T5.4.4.4.1.m1.1.2.1.cmml" xref="S12.T5.4.4.4.1.m1.1.2.1">↓</ci><apply id="S12.T5.4.4.4.1.m1.1.2.2.cmml" xref="S12.T5.4.4.4.1.m1.1.2.2"><csymbol cd="ambiguous" id="S12.T5.4.4.4.1.m1.1.2.2.1.cmml" xref="S12.T5.4.4.4.1.m1.1.2.2">subscript</csymbol><apply id="S12.T5.4.4.4.1.m1.1.2.2.2.1.cmml" xref="S12.T5.4.4.4.1.m1.1.2.2.2.2"><csymbol cd="latexml" id="S12.T5.4.4.4.1.m1.1.2.2.2.1.1.cmml" xref="S12.T5.4.4.4.1.m1.1.2.2.2.2.1">norm</csymbol><ci id="S12.T5.4.4.4.1.m1.1.1.cmml" xref="S12.T5.4.4.4.1.m1.1.1">𝑤</ci></apply><cn id="S12.T5.4.4.4.1.m1.1.2.2.3.cmml" type="integer" xref="S12.T5.4.4.4.1.m1.1.2.2.3">0</cn></apply><csymbol cd="latexml" id="S12.T5.4.4.4.1.m1.1.2.3.cmml" xref="S12.T5.4.4.4.1.m1.1.2.3">absent</csymbol></apply></annotation-xml><annotation encoding="application/x-tex" id="S12.T5.4.4.4.1.m1.1c">\|w\|_{0}\downarrow</annotation><annotation encoding="application/x-llamapun" id="S12.T5.4.4.4.1.m1.1d">∥ italic_w ∥ start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT ↓</annotation></semantics></math></th> <td class="ltx_td ltx_align_center" id="S12.T5.4.4.4.2">29</td> <td class="ltx_td ltx_align_center" id="S12.T5.4.4.4.3">17</td> <td class="ltx_td ltx_align_center" id="S12.T5.4.4.4.4">25</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T5.4.4.4.5">32</td> <td class="ltx_td ltx_align_center" id="S12.T5.4.4.4.6">57</td> <td class="ltx_td ltx_align_center" id="S12.T5.4.4.4.7">20</td> <td class="ltx_td ltx_align_center" id="S12.T5.4.4.4.8">33</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T5.4.4.4.9">59</td> <td class="ltx_td ltx_align_center" id="S12.T5.4.4.4.10">99</td> <td class="ltx_td ltx_align_center" id="S12.T5.4.4.4.11">26</td> <td class="ltx_td ltx_align_center" id="S12.T5.4.4.4.12">39</td> <td class="ltx_td ltx_align_center" id="S12.T5.4.4.4.13">97</td> </tr> <tr class="ltx_tr" id="S12.T5.5.5.5"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T5.5.5.5.1"> GFLOPs <math alttext="\downarrow" class="ltx_Math" display="inline" id="S12.T5.5.5.5.1.m1.1"><semantics id="S12.T5.5.5.5.1.m1.1a"><mo id="S12.T5.5.5.5.1.m1.1.1" stretchy="false" xref="S12.T5.5.5.5.1.m1.1.1.cmml">↓</mo><annotation-xml encoding="MathML-Content" id="S12.T5.5.5.5.1.m1.1b"><ci id="S12.T5.5.5.5.1.m1.1.1.cmml" xref="S12.T5.5.5.5.1.m1.1.1">↓</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T5.5.5.5.1.m1.1c">\downarrow</annotation><annotation encoding="application/x-llamapun" id="S12.T5.5.5.5.1.m1.1d">↓</annotation></semantics></math> </th> <td class="ltx_td ltx_align_center" id="S12.T5.5.5.5.2">382</td> <td class="ltx_td ltx_align_center" id="S12.T5.5.5.5.3">342</td> <td class="ltx_td ltx_align_center" id="S12.T5.5.5.5.4">647</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T5.5.5.5.5">914</td> <td class="ltx_td ltx_align_center" id="S12.T5.5.5.5.6">508</td> <td class="ltx_td ltx_align_center" id="S12.T5.5.5.5.7">431</td> <td class="ltx_td ltx_align_center" id="S12.T5.5.5.5.8">813</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T5.5.5.5.9">1529</td> <td class="ltx_td ltx_align_center" id="S12.T5.5.5.5.10">635</td> <td class="ltx_td ltx_align_center" id="S12.T5.5.5.5.11">499</td> <td class="ltx_td ltx_align_center" id="S12.T5.5.5.5.12">940</td> <td class="ltx_td ltx_align_center" id="S12.T5.5.5.5.13">2206</td> </tr> <tr class="ltx_tr" id="S12.T5.6.6.6"> <th class="ltx_td ltx_th ltx_th_row ltx_border_r" id="S12.T5.6.6.6.2"></th> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T5.6.6.6.1"> time <math alttext="\downarrow" class="ltx_Math" display="inline" id="S12.T5.6.6.6.1.m1.1"><semantics id="S12.T5.6.6.6.1.m1.1a"><mo id="S12.T5.6.6.6.1.m1.1.1" stretchy="false" xref="S12.T5.6.6.6.1.m1.1.1.cmml">↓</mo><annotation-xml encoding="MathML-Content" id="S12.T5.6.6.6.1.m1.1b"><ci id="S12.T5.6.6.6.1.m1.1.1.cmml" xref="S12.T5.6.6.6.1.m1.1.1">↓</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T5.6.6.6.1.m1.1c">\downarrow</annotation><annotation encoding="application/x-llamapun" id="S12.T5.6.6.6.1.m1.1d">↓</annotation></semantics></math> </th> <td class="ltx_td ltx_align_center" id="S12.T5.6.6.6.3">10’</td> <td class="ltx_td ltx_align_center" id="S12.T5.6.6.6.4">12’</td> <td class="ltx_td ltx_align_center" id="S12.T5.6.6.6.5">15’</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T5.6.6.6.6">15’</td> <td class="ltx_td ltx_align_center" id="S12.T5.6.6.6.7">13’</td> <td class="ltx_td ltx_align_center" id="S12.T5.6.6.6.8">16’</td> <td class="ltx_td ltx_align_center" id="S12.T5.6.6.6.9">19’</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T5.6.6.6.10">23’</td> <td class="ltx_td ltx_align_center" id="S12.T5.6.6.6.11">26’</td> <td class="ltx_td ltx_align_center" id="S12.T5.6.6.6.12">20’</td> <td class="ltx_td ltx_align_center" id="S12.T5.6.6.6.13">24’</td> <td class="ltx_td ltx_align_center" id="S12.T5.6.6.6.14">32’</td> </tr> <tr class="ltx_tr" id="S12.T5.7.7.7"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r ltx_border_t" id="S12.T5.7.7.7.2" rowspan="5">NSVF</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r ltx_border_t" id="S12.T5.7.7.7.1">PSNR<math alttext="~{}\uparrow" class="ltx_Math" display="inline" id="S12.T5.7.7.7.1.1.m1.1"><semantics id="S12.T5.7.7.7.1.1.m1.1a"><mo id="S12.T5.7.7.7.1.1.m1.1.1" stretchy="false" xref="S12.T5.7.7.7.1.1.m1.1.1.cmml">↑</mo><annotation-xml encoding="MathML-Content" id="S12.T5.7.7.7.1.1.m1.1b"><ci id="S12.T5.7.7.7.1.1.m1.1.1.cmml" xref="S12.T5.7.7.7.1.1.m1.1.1">↑</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T5.7.7.7.1.1.m1.1c">~{}\uparrow</annotation><annotation encoding="application/x-llamapun" id="S12.T5.7.7.7.1.1.m1.1d">↑</annotation></semantics></math></th> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T5.7.7.7.3">35.59</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T5.7.7.7.4">36.82</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T5.7.7.7.5">37.26</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T5.7.7.7.6">37.18</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T5.7.7.7.7">35.51</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T5.7.7.7.8">37.00</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T5.7.7.7.9">37.48</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T5.7.7.7.10">37.51</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T5.7.7.7.11">35.21</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T5.7.7.7.12">37.12</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T5.7.7.7.13">37.59</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T5.7.7.7.14">37.68</td> </tr> <tr class="ltx_tr" id="S12.T5.8.8.8"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T5.8.8.8.1"> SSIM <math alttext="\uparrow" class="ltx_Math" display="inline" id="S12.T5.8.8.8.1.m1.1"><semantics id="S12.T5.8.8.8.1.m1.1a"><mo id="S12.T5.8.8.8.1.m1.1.1" stretchy="false" xref="S12.T5.8.8.8.1.m1.1.1.cmml">↑</mo><annotation-xml encoding="MathML-Content" id="S12.T5.8.8.8.1.m1.1b"><ci id="S12.T5.8.8.8.1.m1.1.1.cmml" xref="S12.T5.8.8.8.1.m1.1.1">↑</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T5.8.8.8.1.m1.1c">\uparrow</annotation><annotation encoding="application/x-llamapun" id="S12.T5.8.8.8.1.m1.1d">↑</annotation></semantics></math> </th> <td class="ltx_td ltx_align_center" id="S12.T5.8.8.8.2">0.979</td> <td class="ltx_td ltx_align_center" id="S12.T5.8.8.8.3">0.982</td> <td class="ltx_td ltx_align_center" id="S12.T5.8.8.8.4">0.984</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T5.8.8.8.5">0.984</td> <td class="ltx_td ltx_align_center" id="S12.T5.8.8.8.6">0.979</td> <td class="ltx_td ltx_align_center" id="S12.T5.8.8.8.7">0.983</td> <td class="ltx_td ltx_align_center" id="S12.T5.8.8.8.8">0.985</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T5.8.8.8.9">0.985</td> <td class="ltx_td ltx_align_center" id="S12.T5.8.8.8.10">0.977</td> <td class="ltx_td ltx_align_center" id="S12.T5.8.8.8.11">0.984</td> <td class="ltx_td ltx_align_center" id="S12.T5.8.8.8.12">0.986</td> <td class="ltx_td ltx_align_center" id="S12.T5.8.8.8.13">0.986</td> </tr> <tr class="ltx_tr" id="S12.T5.9.9.9"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T5.9.9.9.1"> LPIPS <math alttext="\downarrow" class="ltx_Math" display="inline" id="S12.T5.9.9.9.1.m1.1"><semantics id="S12.T5.9.9.9.1.m1.1a"><mo id="S12.T5.9.9.9.1.m1.1.1" stretchy="false" xref="S12.T5.9.9.9.1.m1.1.1.cmml">↓</mo><annotation-xml encoding="MathML-Content" id="S12.T5.9.9.9.1.m1.1b"><ci id="S12.T5.9.9.9.1.m1.1.1.cmml" xref="S12.T5.9.9.9.1.m1.1.1">↓</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T5.9.9.9.1.m1.1c">\downarrow</annotation><annotation encoding="application/x-llamapun" id="S12.T5.9.9.9.1.m1.1d">↓</annotation></semantics></math> </th> <td class="ltx_td ltx_align_center" id="S12.T5.9.9.9.2">0.014</td> <td class="ltx_td ltx_align_center" id="S12.T5.9.9.9.3">0.010</td> <td class="ltx_td ltx_align_center" id="S12.T5.9.9.9.4">0.009</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T5.9.9.9.5">0.009</td> <td class="ltx_td ltx_align_center" id="S12.T5.9.9.9.6">0.014</td> <td class="ltx_td ltx_align_center" id="S12.T5.9.9.9.7">0.010</td> <td class="ltx_td ltx_align_center" id="S12.T5.9.9.9.8">0.008</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T5.9.9.9.9">0.008</td> <td class="ltx_td ltx_align_center" id="S12.T5.9.9.9.10">0.015</td> <td class="ltx_td ltx_align_center" id="S12.T5.9.9.9.11">0.009</td> <td class="ltx_td ltx_align_center" id="S12.T5.9.9.9.12">0.008</td> <td class="ltx_td ltx_align_center" id="S12.T5.9.9.9.13">0.007</td> </tr> <tr class="ltx_tr" id="S12.T5.10.10.10"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T5.10.10.10.1"><math alttext="\|w\|_{0}\downarrow" class="ltx_Math" display="inline" id="S12.T5.10.10.10.1.m1.1"><semantics id="S12.T5.10.10.10.1.m1.1a"><mrow id="S12.T5.10.10.10.1.m1.1.2" xref="S12.T5.10.10.10.1.m1.1.2.cmml"><msub id="S12.T5.10.10.10.1.m1.1.2.2" xref="S12.T5.10.10.10.1.m1.1.2.2.cmml"><mrow id="S12.T5.10.10.10.1.m1.1.2.2.2.2" xref="S12.T5.10.10.10.1.m1.1.2.2.2.1.cmml"><mo id="S12.T5.10.10.10.1.m1.1.2.2.2.2.1" stretchy="false" xref="S12.T5.10.10.10.1.m1.1.2.2.2.1.1.cmml">‖</mo><mi id="S12.T5.10.10.10.1.m1.1.1" xref="S12.T5.10.10.10.1.m1.1.1.cmml">w</mi><mo id="S12.T5.10.10.10.1.m1.1.2.2.2.2.2" stretchy="false" xref="S12.T5.10.10.10.1.m1.1.2.2.2.1.1.cmml">‖</mo></mrow><mn id="S12.T5.10.10.10.1.m1.1.2.2.3" xref="S12.T5.10.10.10.1.m1.1.2.2.3.cmml">0</mn></msub><mo id="S12.T5.10.10.10.1.m1.1.2.1" stretchy="false" xref="S12.T5.10.10.10.1.m1.1.2.1.cmml">↓</mo><mi id="S12.T5.10.10.10.1.m1.1.2.3" xref="S12.T5.10.10.10.1.m1.1.2.3.cmml"></mi></mrow><annotation-xml encoding="MathML-Content" id="S12.T5.10.10.10.1.m1.1b"><apply id="S12.T5.10.10.10.1.m1.1.2.cmml" xref="S12.T5.10.10.10.1.m1.1.2"><ci id="S12.T5.10.10.10.1.m1.1.2.1.cmml" xref="S12.T5.10.10.10.1.m1.1.2.1">↓</ci><apply id="S12.T5.10.10.10.1.m1.1.2.2.cmml" xref="S12.T5.10.10.10.1.m1.1.2.2"><csymbol cd="ambiguous" id="S12.T5.10.10.10.1.m1.1.2.2.1.cmml" xref="S12.T5.10.10.10.1.m1.1.2.2">subscript</csymbol><apply id="S12.T5.10.10.10.1.m1.1.2.2.2.1.cmml" xref="S12.T5.10.10.10.1.m1.1.2.2.2.2"><csymbol cd="latexml" id="S12.T5.10.10.10.1.m1.1.2.2.2.1.1.cmml" xref="S12.T5.10.10.10.1.m1.1.2.2.2.2.1">norm</csymbol><ci id="S12.T5.10.10.10.1.m1.1.1.cmml" xref="S12.T5.10.10.10.1.m1.1.1">𝑤</ci></apply><cn id="S12.T5.10.10.10.1.m1.1.2.2.3.cmml" type="integer" xref="S12.T5.10.10.10.1.m1.1.2.2.3">0</cn></apply><csymbol cd="latexml" id="S12.T5.10.10.10.1.m1.1.2.3.cmml" xref="S12.T5.10.10.10.1.m1.1.2.3">absent</csymbol></apply></annotation-xml><annotation encoding="application/x-tex" id="S12.T5.10.10.10.1.m1.1c">\|w\|_{0}\downarrow</annotation><annotation encoding="application/x-llamapun" id="S12.T5.10.10.10.1.m1.1d">∥ italic_w ∥ start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT ↓</annotation></semantics></math></th> <td class="ltx_td ltx_align_center" id="S12.T5.10.10.10.2">29</td> <td class="ltx_td ltx_align_center" id="S12.T5.10.10.10.3">18</td> <td class="ltx_td ltx_align_center" id="S12.T5.10.10.10.4">23</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T5.10.10.10.5">32</td> <td class="ltx_td ltx_align_center" id="S12.T5.10.10.10.6">60</td> <td class="ltx_td ltx_align_center" id="S12.T5.10.10.10.7">23</td> <td class="ltx_td ltx_align_center" id="S12.T5.10.10.10.8">32</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T5.10.10.10.9">60</td> <td class="ltx_td ltx_align_center" id="S12.T5.10.10.10.10">95</td> <td class="ltx_td ltx_align_center" id="S12.T5.10.10.10.11">27</td> <td class="ltx_td ltx_align_center" id="S12.T5.10.10.10.12">43</td> <td class="ltx_td ltx_align_center" id="S12.T5.10.10.10.13">100</td> </tr> <tr class="ltx_tr" id="S12.T5.11.11.11"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T5.11.11.11.1"> GFLOPs <math alttext="\downarrow" class="ltx_Math" display="inline" id="S12.T5.11.11.11.1.m1.1"><semantics id="S12.T5.11.11.11.1.m1.1a"><mo id="S12.T5.11.11.11.1.m1.1.1" stretchy="false" xref="S12.T5.11.11.11.1.m1.1.1.cmml">↓</mo><annotation-xml encoding="MathML-Content" id="S12.T5.11.11.11.1.m1.1b"><ci id="S12.T5.11.11.11.1.m1.1.1.cmml" xref="S12.T5.11.11.11.1.m1.1.1">↓</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T5.11.11.11.1.m1.1c">\downarrow</annotation><annotation encoding="application/x-llamapun" id="S12.T5.11.11.11.1.m1.1d">↓</annotation></semantics></math> </th> <td class="ltx_td ltx_align_center" id="S12.T5.11.11.11.2">318</td> <td class="ltx_td ltx_align_center" id="S12.T5.11.11.11.3">266</td> <td class="ltx_td ltx_align_center" id="S12.T5.11.11.11.4">502</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T5.11.11.11.5">709</td> <td class="ltx_td ltx_align_center" id="S12.T5.11.11.11.6">452</td> <td class="ltx_td ltx_align_center" id="S12.T5.11.11.11.7">358</td> <td class="ltx_td ltx_align_center" id="S12.T5.11.11.11.8">676</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T5.11.11.11.9">1271</td> <td class="ltx_td ltx_align_center" id="S12.T5.11.11.11.10">564</td> <td class="ltx_td ltx_align_center" id="S12.T5.11.11.11.11">430</td> <td class="ltx_td ltx_align_center" id="S12.T5.11.11.11.12">811</td> <td class="ltx_td ltx_align_center" id="S12.T5.11.11.11.13">1903</td> </tr> <tr class="ltx_tr" id="S12.T5.12.12.12"> <th class="ltx_td ltx_th ltx_th_row ltx_border_r" id="S12.T5.12.12.12.2"></th> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T5.12.12.12.1"> time <math alttext="\downarrow" class="ltx_Math" display="inline" id="S12.T5.12.12.12.1.m1.1"><semantics id="S12.T5.12.12.12.1.m1.1a"><mo id="S12.T5.12.12.12.1.m1.1.1" stretchy="false" xref="S12.T5.12.12.12.1.m1.1.1.cmml">↓</mo><annotation-xml encoding="MathML-Content" id="S12.T5.12.12.12.1.m1.1b"><ci id="S12.T5.12.12.12.1.m1.1.1.cmml" xref="S12.T5.12.12.12.1.m1.1.1">↓</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T5.12.12.12.1.m1.1c">\downarrow</annotation><annotation encoding="application/x-llamapun" id="S12.T5.12.12.12.1.m1.1d">↓</annotation></semantics></math> </th> <td class="ltx_td ltx_align_center" id="S12.T5.12.12.12.3">7’</td> <td class="ltx_td ltx_align_center" id="S12.T5.12.12.12.4">13’</td> <td class="ltx_td ltx_align_center" id="S12.T5.12.12.12.5">16’</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T5.12.12.12.6">16’</td> <td class="ltx_td ltx_align_center" id="S12.T5.12.12.12.7">22’</td> <td class="ltx_td ltx_align_center" id="S12.T5.12.12.12.8">17’</td> <td class="ltx_td ltx_align_center" id="S12.T5.12.12.12.9">21’</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T5.12.12.12.10">25’</td> <td class="ltx_td ltx_align_center" id="S12.T5.12.12.12.11">12’</td> <td class="ltx_td ltx_align_center" id="S12.T5.12.12.12.12">21’</td> <td class="ltx_td ltx_align_center" id="S12.T5.12.12.12.13">25’</td> <td class="ltx_td ltx_align_center" id="S12.T5.12.12.12.14">35’</td> </tr> <tr class="ltx_tr" id="S12.T5.13.13.13"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r ltx_border_t" id="S12.T5.13.13.13.2" rowspan="5">TaT</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r ltx_border_t" id="S12.T5.13.13.13.1">PSNR<math alttext="~{}\uparrow" class="ltx_Math" display="inline" id="S12.T5.13.13.13.1.1.m1.1"><semantics id="S12.T5.13.13.13.1.1.m1.1a"><mo id="S12.T5.13.13.13.1.1.m1.1.1" stretchy="false" xref="S12.T5.13.13.13.1.1.m1.1.1.cmml">↑</mo><annotation-xml encoding="MathML-Content" id="S12.T5.13.13.13.1.1.m1.1b"><ci id="S12.T5.13.13.13.1.1.m1.1.1.cmml" xref="S12.T5.13.13.13.1.1.m1.1.1">↑</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T5.13.13.13.1.1.m1.1c">~{}\uparrow</annotation><annotation encoding="application/x-llamapun" id="S12.T5.13.13.13.1.1.m1.1d">↑</annotation></semantics></math></th> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T5.13.13.13.3">28.59</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T5.13.13.13.4">28.93</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T5.13.13.13.5">29.10</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T5.13.13.13.6">29.11</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T5.13.13.13.7">28.71</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T5.13.13.13.8">29.05</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T5.13.13.13.9">29.21</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T5.13.13.13.10">29.27</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T5.13.13.13.11">28.93</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T5.13.13.13.12">29.14</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T5.13.13.13.13">29.27</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T5.13.13.13.14">29.37</td> </tr> <tr class="ltx_tr" id="S12.T5.14.14.14"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T5.14.14.14.1"> SSIM <math alttext="\uparrow" class="ltx_Math" display="inline" id="S12.T5.14.14.14.1.m1.1"><semantics id="S12.T5.14.14.14.1.m1.1a"><mo id="S12.T5.14.14.14.1.m1.1.1" stretchy="false" xref="S12.T5.14.14.14.1.m1.1.1.cmml">↑</mo><annotation-xml encoding="MathML-Content" id="S12.T5.14.14.14.1.m1.1b"><ci id="S12.T5.14.14.14.1.m1.1.1.cmml" xref="S12.T5.14.14.14.1.m1.1.1">↑</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T5.14.14.14.1.m1.1c">\uparrow</annotation><annotation encoding="application/x-llamapun" id="S12.T5.14.14.14.1.m1.1d">↑</annotation></semantics></math> </th> <td class="ltx_td ltx_align_center" id="S12.T5.14.14.14.2">0.919</td> <td class="ltx_td ltx_align_center" id="S12.T5.14.14.14.3">0.921</td> <td class="ltx_td ltx_align_center" id="S12.T5.14.14.14.4">0.925</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T5.14.14.14.5">0.926</td> <td class="ltx_td ltx_align_center" id="S12.T5.14.14.14.6">0.921</td> <td class="ltx_td ltx_align_center" id="S12.T5.14.14.14.7">0.923</td> <td class="ltx_td ltx_align_center" id="S12.T5.14.14.14.8">0.927</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T5.14.14.14.9">0.930</td> <td class="ltx_td ltx_align_center" id="S12.T5.14.14.14.10">0.927</td> <td class="ltx_td ltx_align_center" id="S12.T5.14.14.14.11">0.925</td> <td class="ltx_td ltx_align_center" id="S12.T5.14.14.14.12">0.929</td> <td class="ltx_td ltx_align_center" id="S12.T5.14.14.14.13">0.932</td> </tr> <tr class="ltx_tr" id="S12.T5.15.15.15"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T5.15.15.15.1"> LPIPS <math alttext="\downarrow" class="ltx_Math" display="inline" id="S12.T5.15.15.15.1.m1.1"><semantics id="S12.T5.15.15.15.1.m1.1a"><mo id="S12.T5.15.15.15.1.m1.1.1" stretchy="false" xref="S12.T5.15.15.15.1.m1.1.1.cmml">↓</mo><annotation-xml encoding="MathML-Content" id="S12.T5.15.15.15.1.m1.1b"><ci id="S12.T5.15.15.15.1.m1.1.1.cmml" xref="S12.T5.15.15.15.1.m1.1.1">↓</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T5.15.15.15.1.m1.1c">\downarrow</annotation><annotation encoding="application/x-llamapun" id="S12.T5.15.15.15.1.m1.1d">↓</annotation></semantics></math> </th> <td class="ltx_td ltx_align_center" id="S12.T5.15.15.15.2">0.131</td> <td class="ltx_td ltx_align_center" id="S12.T5.15.15.15.3">0.115</td> <td class="ltx_td ltx_align_center" id="S12.T5.15.15.15.4">0.113</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T5.15.15.15.5">0.113</td> <td class="ltx_td ltx_align_center" id="S12.T5.15.15.15.6">0.121</td> <td class="ltx_td ltx_align_center" id="S12.T5.15.15.15.7">0.110</td> <td class="ltx_td ltx_align_center" id="S12.T5.15.15.15.8">0.108</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T5.15.15.15.9">0.107</td> <td class="ltx_td ltx_align_center" id="S12.T5.15.15.15.10">0.107</td> <td class="ltx_td ltx_align_center" id="S12.T5.15.15.15.11">0.108</td> <td class="ltx_td ltx_align_center" id="S12.T5.15.15.15.12">0.105</td> <td class="ltx_td ltx_align_center" id="S12.T5.15.15.15.13">0.103</td> </tr> <tr class="ltx_tr" id="S12.T5.16.16.16"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T5.16.16.16.1"><math alttext="\|w\|_{0}\downarrow" class="ltx_Math" display="inline" id="S12.T5.16.16.16.1.m1.1"><semantics id="S12.T5.16.16.16.1.m1.1a"><mrow id="S12.T5.16.16.16.1.m1.1.2" xref="S12.T5.16.16.16.1.m1.1.2.cmml"><msub id="S12.T5.16.16.16.1.m1.1.2.2" xref="S12.T5.16.16.16.1.m1.1.2.2.cmml"><mrow id="S12.T5.16.16.16.1.m1.1.2.2.2.2" xref="S12.T5.16.16.16.1.m1.1.2.2.2.1.cmml"><mo id="S12.T5.16.16.16.1.m1.1.2.2.2.2.1" stretchy="false" xref="S12.T5.16.16.16.1.m1.1.2.2.2.1.1.cmml">‖</mo><mi id="S12.T5.16.16.16.1.m1.1.1" xref="S12.T5.16.16.16.1.m1.1.1.cmml">w</mi><mo id="S12.T5.16.16.16.1.m1.1.2.2.2.2.2" stretchy="false" xref="S12.T5.16.16.16.1.m1.1.2.2.2.1.1.cmml">‖</mo></mrow><mn id="S12.T5.16.16.16.1.m1.1.2.2.3" xref="S12.T5.16.16.16.1.m1.1.2.2.3.cmml">0</mn></msub><mo id="S12.T5.16.16.16.1.m1.1.2.1" stretchy="false" xref="S12.T5.16.16.16.1.m1.1.2.1.cmml">↓</mo><mi id="S12.T5.16.16.16.1.m1.1.2.3" xref="S12.T5.16.16.16.1.m1.1.2.3.cmml"></mi></mrow><annotation-xml encoding="MathML-Content" id="S12.T5.16.16.16.1.m1.1b"><apply id="S12.T5.16.16.16.1.m1.1.2.cmml" xref="S12.T5.16.16.16.1.m1.1.2"><ci id="S12.T5.16.16.16.1.m1.1.2.1.cmml" xref="S12.T5.16.16.16.1.m1.1.2.1">↓</ci><apply id="S12.T5.16.16.16.1.m1.1.2.2.cmml" xref="S12.T5.16.16.16.1.m1.1.2.2"><csymbol cd="ambiguous" id="S12.T5.16.16.16.1.m1.1.2.2.1.cmml" xref="S12.T5.16.16.16.1.m1.1.2.2">subscript</csymbol><apply id="S12.T5.16.16.16.1.m1.1.2.2.2.1.cmml" xref="S12.T5.16.16.16.1.m1.1.2.2.2.2"><csymbol cd="latexml" id="S12.T5.16.16.16.1.m1.1.2.2.2.1.1.cmml" xref="S12.T5.16.16.16.1.m1.1.2.2.2.2.1">norm</csymbol><ci id="S12.T5.16.16.16.1.m1.1.1.cmml" xref="S12.T5.16.16.16.1.m1.1.1">𝑤</ci></apply><cn id="S12.T5.16.16.16.1.m1.1.2.2.3.cmml" type="integer" xref="S12.T5.16.16.16.1.m1.1.2.2.3">0</cn></apply><csymbol cd="latexml" id="S12.T5.16.16.16.1.m1.1.2.3.cmml" xref="S12.T5.16.16.16.1.m1.1.2.3">absent</csymbol></apply></annotation-xml><annotation encoding="application/x-tex" id="S12.T5.16.16.16.1.m1.1c">\|w\|_{0}\downarrow</annotation><annotation encoding="application/x-llamapun" id="S12.T5.16.16.16.1.m1.1d">∥ italic_w ∥ start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT ↓</annotation></semantics></math></th> <td class="ltx_td ltx_align_center" id="S12.T5.16.16.16.2">17</td> <td class="ltx_td ltx_align_center" id="S12.T5.16.16.16.3">11</td> <td class="ltx_td ltx_align_center" id="S12.T5.16.16.16.4">18</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T5.16.16.16.5">25</td> <td class="ltx_td ltx_align_center" id="S12.T5.16.16.16.6">30</td> <td class="ltx_td ltx_align_center" id="S12.T5.16.16.16.7">15</td> <td class="ltx_td ltx_align_center" id="S12.T5.16.16.16.8">22</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T5.16.16.16.9">43</td> <td class="ltx_td ltx_align_center" id="S12.T5.16.16.16.10">74</td> <td class="ltx_td ltx_align_center" id="S12.T5.16.16.16.11">16</td> <td class="ltx_td ltx_align_center" id="S12.T5.16.16.16.12">26</td> <td class="ltx_td ltx_align_center" id="S12.T5.16.16.16.13">65</td> </tr> <tr class="ltx_tr" id="S12.T5.17.17.17"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T5.17.17.17.1"> GFLOPs <math alttext="\downarrow" class="ltx_Math" display="inline" id="S12.T5.17.17.17.1.m1.1"><semantics id="S12.T5.17.17.17.1.m1.1a"><mo id="S12.T5.17.17.17.1.m1.1.1" stretchy="false" xref="S12.T5.17.17.17.1.m1.1.1.cmml">↓</mo><annotation-xml encoding="MathML-Content" id="S12.T5.17.17.17.1.m1.1b"><ci id="S12.T5.17.17.17.1.m1.1.1.cmml" xref="S12.T5.17.17.17.1.m1.1.1">↓</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T5.17.17.17.1.m1.1c">\downarrow</annotation><annotation encoding="application/x-llamapun" id="S12.T5.17.17.17.1.m1.1d">↓</annotation></semantics></math> </th> <td class="ltx_td ltx_align_center" id="S12.T5.17.17.17.2">1299</td> <td class="ltx_td ltx_align_center" id="S12.T5.17.17.17.3">1223</td> <td class="ltx_td ltx_align_center" id="S12.T5.17.17.17.4">2310</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T5.17.17.17.5">3263</td> <td class="ltx_td ltx_align_center" id="S12.T5.17.17.17.6">1547</td> <td class="ltx_td ltx_align_center" id="S12.T5.17.17.17.7">1463</td> <td class="ltx_td ltx_align_center" id="S12.T5.17.17.17.8">2761</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T5.17.17.17.9">5193</td> <td class="ltx_td ltx_align_center" id="S12.T5.17.17.17.10">2666</td> <td class="ltx_td ltx_align_center" id="S12.T5.17.17.17.11">1626</td> <td class="ltx_td ltx_align_center" id="S12.T5.17.17.17.12">3066</td> <td class="ltx_td ltx_align_center" id="S12.T5.17.17.17.13">7198</td> </tr> <tr class="ltx_tr" id="S12.T5.18.18.18"> <th class="ltx_td ltx_th ltx_th_row ltx_border_r" id="S12.T5.18.18.18.2"></th> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T5.18.18.18.1"> time <math alttext="\downarrow" class="ltx_Math" display="inline" id="S12.T5.18.18.18.1.m1.1"><semantics id="S12.T5.18.18.18.1.m1.1a"><mo id="S12.T5.18.18.18.1.m1.1.1" stretchy="false" xref="S12.T5.18.18.18.1.m1.1.1.cmml">↓</mo><annotation-xml encoding="MathML-Content" id="S12.T5.18.18.18.1.m1.1b"><ci id="S12.T5.18.18.18.1.m1.1.1.cmml" xref="S12.T5.18.18.18.1.m1.1.1">↓</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T5.18.18.18.1.m1.1c">\downarrow</annotation><annotation encoding="application/x-llamapun" id="S12.T5.18.18.18.1.m1.1d">↓</annotation></semantics></math> </th> <td class="ltx_td ltx_align_center" id="S12.T5.18.18.18.3">10’</td> <td class="ltx_td ltx_align_center" id="S12.T5.18.18.18.4">15’</td> <td class="ltx_td ltx_align_center" id="S12.T5.18.18.18.5">18’</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T5.18.18.18.6">18’</td> <td class="ltx_td ltx_align_center" id="S12.T5.18.18.18.7">18’</td> <td class="ltx_td ltx_align_center" id="S12.T5.18.18.18.8">19’</td> <td class="ltx_td ltx_align_center" id="S12.T5.18.18.18.9">23’</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T5.18.18.18.10">27’</td> <td class="ltx_td ltx_align_center" id="S12.T5.18.18.18.11">22’</td> <td class="ltx_td ltx_align_center" id="S12.T5.18.18.18.12">25’</td> <td class="ltx_td ltx_align_center" id="S12.T5.18.18.18.13">28’</td> <td class="ltx_td ltx_align_center" id="S12.T5.18.18.18.14">38’</td> </tr> <tr class="ltx_tr" id="S12.T5.19.19.19"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r ltx_border_t" id="S12.T5.19.19.19.2" rowspan="5">LLFF</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r ltx_border_t" id="S12.T5.19.19.19.1">PSNR<math alttext="~{}\uparrow" class="ltx_Math" display="inline" id="S12.T5.19.19.19.1.1.m1.1"><semantics id="S12.T5.19.19.19.1.1.m1.1a"><mo id="S12.T5.19.19.19.1.1.m1.1.1" stretchy="false" xref="S12.T5.19.19.19.1.1.m1.1.1.cmml">↑</mo><annotation-xml encoding="MathML-Content" id="S12.T5.19.19.19.1.1.m1.1b"><ci id="S12.T5.19.19.19.1.1.m1.1.1.cmml" xref="S12.T5.19.19.19.1.1.m1.1.1">↑</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T5.19.19.19.1.1.m1.1c">~{}\uparrow</annotation><annotation encoding="application/x-llamapun" id="S12.T5.19.19.19.1.1.m1.1d">↑</annotation></semantics></math></th> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T5.19.19.19.3">26.20</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T5.19.19.19.4">26.05</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T5.19.19.19.5">26.33</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T5.19.19.19.6">26.31</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T5.19.19.19.7">26.29</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T5.19.19.19.8">26.30</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T5.19.19.19.9">26.51</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T5.19.19.19.10">26.53</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T5.19.19.19.11">26.24</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T5.19.19.19.12">26.43</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T5.19.19.19.13">26.62</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T5.19.19.19.14">26.65</td> </tr> <tr class="ltx_tr" id="S12.T5.20.20.20"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T5.20.20.20.1"> SSIM <math alttext="\uparrow" class="ltx_Math" display="inline" id="S12.T5.20.20.20.1.m1.1"><semantics id="S12.T5.20.20.20.1.m1.1a"><mo id="S12.T5.20.20.20.1.m1.1.1" stretchy="false" xref="S12.T5.20.20.20.1.m1.1.1.cmml">↑</mo><annotation-xml encoding="MathML-Content" id="S12.T5.20.20.20.1.m1.1b"><ci id="S12.T5.20.20.20.1.m1.1.1.cmml" xref="S12.T5.20.20.20.1.m1.1.1">↑</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T5.20.20.20.1.m1.1c">\uparrow</annotation><annotation encoding="application/x-llamapun" id="S12.T5.20.20.20.1.m1.1d">↑</annotation></semantics></math> </th> <td class="ltx_td ltx_align_center" id="S12.T5.20.20.20.2">0.832</td> <td class="ltx_td ltx_align_center" id="S12.T5.20.20.20.3">0.823</td> <td class="ltx_td ltx_align_center" id="S12.T5.20.20.20.4">0.831</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T5.20.20.20.5">0.834</td> <td class="ltx_td ltx_align_center" id="S12.T5.20.20.20.6">0.832</td> <td class="ltx_td ltx_align_center" id="S12.T5.20.20.20.7">0.830</td> <td class="ltx_td ltx_align_center" id="S12.T5.20.20.20.8">0.837</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T5.20.20.20.9">0.841</td> <td class="ltx_td ltx_align_center" id="S12.T5.20.20.20.10">0.831</td> <td class="ltx_td ltx_align_center" id="S12.T5.20.20.20.11">0.832</td> <td class="ltx_td ltx_align_center" id="S12.T5.20.20.20.12">0.839</td> <td class="ltx_td ltx_align_center" id="S12.T5.20.20.20.13">0.843</td> </tr> <tr class="ltx_tr" id="S12.T5.21.21.21"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T5.21.21.21.1"> LPIPS <math alttext="\downarrow" class="ltx_Math" display="inline" id="S12.T5.21.21.21.1.m1.1"><semantics id="S12.T5.21.21.21.1.m1.1a"><mo id="S12.T5.21.21.21.1.m1.1.1" stretchy="false" xref="S12.T5.21.21.21.1.m1.1.1.cmml">↓</mo><annotation-xml encoding="MathML-Content" id="S12.T5.21.21.21.1.m1.1b"><ci id="S12.T5.21.21.21.1.m1.1.1.cmml" xref="S12.T5.21.21.21.1.m1.1.1">↓</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T5.21.21.21.1.m1.1c">\downarrow</annotation><annotation encoding="application/x-llamapun" id="S12.T5.21.21.21.1.m1.1d">↓</annotation></semantics></math> </th> <td class="ltx_td ltx_align_center" id="S12.T5.21.21.21.2">0.141</td> <td class="ltx_td ltx_align_center" id="S12.T5.21.21.21.3">0.130</td> <td class="ltx_td ltx_align_center" id="S12.T5.21.21.21.4">0.120</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T5.21.21.21.5">0.123</td> <td class="ltx_td ltx_align_center" id="S12.T5.21.21.21.6">0.137</td> <td class="ltx_td ltx_align_center" id="S12.T5.21.21.21.7">0.117</td> <td class="ltx_td ltx_align_center" id="S12.T5.21.21.21.8">0.116</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T5.21.21.21.9">0.112</td> <td class="ltx_td ltx_align_center" id="S12.T5.21.21.21.10">0.136</td> <td class="ltx_td ltx_align_center" id="S12.T5.21.21.21.11">0.115</td> <td class="ltx_td ltx_align_center" id="S12.T5.21.21.21.12">0.111</td> <td class="ltx_td ltx_align_center" id="S12.T5.21.21.21.13">0.107</td> </tr> <tr class="ltx_tr" id="S12.T5.22.22.22"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T5.22.22.22.1"><math alttext="\|w\|_{0}\downarrow" class="ltx_Math" display="inline" id="S12.T5.22.22.22.1.m1.1"><semantics id="S12.T5.22.22.22.1.m1.1a"><mrow id="S12.T5.22.22.22.1.m1.1.2" xref="S12.T5.22.22.22.1.m1.1.2.cmml"><msub id="S12.T5.22.22.22.1.m1.1.2.2" xref="S12.T5.22.22.22.1.m1.1.2.2.cmml"><mrow id="S12.T5.22.22.22.1.m1.1.2.2.2.2" xref="S12.T5.22.22.22.1.m1.1.2.2.2.1.cmml"><mo id="S12.T5.22.22.22.1.m1.1.2.2.2.2.1" stretchy="false" xref="S12.T5.22.22.22.1.m1.1.2.2.2.1.1.cmml">‖</mo><mi id="S12.T5.22.22.22.1.m1.1.1" xref="S12.T5.22.22.22.1.m1.1.1.cmml">w</mi><mo id="S12.T5.22.22.22.1.m1.1.2.2.2.2.2" stretchy="false" xref="S12.T5.22.22.22.1.m1.1.2.2.2.1.1.cmml">‖</mo></mrow><mn id="S12.T5.22.22.22.1.m1.1.2.2.3" xref="S12.T5.22.22.22.1.m1.1.2.2.3.cmml">0</mn></msub><mo id="S12.T5.22.22.22.1.m1.1.2.1" stretchy="false" xref="S12.T5.22.22.22.1.m1.1.2.1.cmml">↓</mo><mi id="S12.T5.22.22.22.1.m1.1.2.3" xref="S12.T5.22.22.22.1.m1.1.2.3.cmml"></mi></mrow><annotation-xml encoding="MathML-Content" id="S12.T5.22.22.22.1.m1.1b"><apply id="S12.T5.22.22.22.1.m1.1.2.cmml" xref="S12.T5.22.22.22.1.m1.1.2"><ci id="S12.T5.22.22.22.1.m1.1.2.1.cmml" xref="S12.T5.22.22.22.1.m1.1.2.1">↓</ci><apply id="S12.T5.22.22.22.1.m1.1.2.2.cmml" xref="S12.T5.22.22.22.1.m1.1.2.2"><csymbol cd="ambiguous" id="S12.T5.22.22.22.1.m1.1.2.2.1.cmml" xref="S12.T5.22.22.22.1.m1.1.2.2">subscript</csymbol><apply id="S12.T5.22.22.22.1.m1.1.2.2.2.1.cmml" xref="S12.T5.22.22.22.1.m1.1.2.2.2.2"><csymbol cd="latexml" id="S12.T5.22.22.22.1.m1.1.2.2.2.1.1.cmml" xref="S12.T5.22.22.22.1.m1.1.2.2.2.2.1">norm</csymbol><ci id="S12.T5.22.22.22.1.m1.1.1.cmml" xref="S12.T5.22.22.22.1.m1.1.1">𝑤</ci></apply><cn id="S12.T5.22.22.22.1.m1.1.2.2.3.cmml" type="integer" xref="S12.T5.22.22.22.1.m1.1.2.2.3">0</cn></apply><csymbol cd="latexml" id="S12.T5.22.22.22.1.m1.1.2.3.cmml" xref="S12.T5.22.22.22.1.m1.1.2.3">absent</csymbol></apply></annotation-xml><annotation encoding="application/x-tex" id="S12.T5.22.22.22.1.m1.1c">\|w\|_{0}\downarrow</annotation><annotation encoding="application/x-llamapun" id="S12.T5.22.22.22.1.m1.1d">∥ italic_w ∥ start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT ↓</annotation></semantics></math></th> <td class="ltx_td ltx_align_center" id="S12.T5.22.22.22.2">19</td> <td class="ltx_td ltx_align_center" id="S12.T5.22.22.22.3">12</td> <td class="ltx_td ltx_align_center" id="S12.T5.22.22.22.4">23</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T5.22.22.22.5">28</td> <td class="ltx_td ltx_align_center" id="S12.T5.22.22.22.6">33</td> <td class="ltx_td ltx_align_center" id="S12.T5.22.22.22.7">19</td> <td class="ltx_td ltx_align_center" id="S12.T5.22.22.22.8">29</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T5.22.22.22.9">59</td> <td class="ltx_td ltx_align_center" id="S12.T5.22.22.22.10">62</td> <td class="ltx_td ltx_align_center" id="S12.T5.22.22.22.11">26</td> <td class="ltx_td ltx_align_center" id="S12.T5.22.22.22.12">40</td> <td class="ltx_td ltx_align_center" id="S12.T5.22.22.22.13">113</td> </tr> <tr class="ltx_tr" id="S12.T5.23.23.23"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T5.23.23.23.1"> GFLOPs <math alttext="\downarrow" class="ltx_Math" display="inline" id="S12.T5.23.23.23.1.m1.1"><semantics id="S12.T5.23.23.23.1.m1.1a"><mo id="S12.T5.23.23.23.1.m1.1.1" stretchy="false" xref="S12.T5.23.23.23.1.m1.1.1.cmml">↓</mo><annotation-xml encoding="MathML-Content" id="S12.T5.23.23.23.1.m1.1b"><ci id="S12.T5.23.23.23.1.m1.1.1.cmml" xref="S12.T5.23.23.23.1.m1.1.1">↓</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T5.23.23.23.1.m1.1c">\downarrow</annotation><annotation encoding="application/x-llamapun" id="S12.T5.23.23.23.1.m1.1d">↓</annotation></semantics></math> </th> <td class="ltx_td ltx_align_center" id="S12.T5.23.23.23.2">976</td> <td class="ltx_td ltx_align_center" id="S12.T5.23.23.23.3">844</td> <td class="ltx_td ltx_align_center" id="S12.T5.23.23.23.4">1408</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T5.23.23.23.5">1693</td> <td class="ltx_td ltx_align_center" id="S12.T5.23.23.23.6">1250</td> <td class="ltx_td ltx_align_center" id="S12.T5.23.23.23.7">1162</td> <td class="ltx_td ltx_align_center" id="S12.T5.23.23.23.8">1931</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T5.23.23.23.9">3079</td> <td class="ltx_td ltx_align_center" id="S12.T5.23.23.23.10">1678</td> <td class="ltx_td ltx_align_center" id="S12.T5.23.23.23.11">1514</td> <td class="ltx_td ltx_align_center" id="S12.T5.23.23.23.12">2508</td> <td class="ltx_td ltx_align_center" id="S12.T5.23.23.23.13">4972</td> </tr> <tr class="ltx_tr" id="S12.T5.24.24.24"> <th class="ltx_td ltx_th ltx_th_row ltx_border_b ltx_border_r" id="S12.T5.24.24.24.2"></th> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_b ltx_border_r" id="S12.T5.24.24.24.1"> time <math alttext="\downarrow" class="ltx_Math" display="inline" id="S12.T5.24.24.24.1.m1.1"><semantics id="S12.T5.24.24.24.1.m1.1a"><mo id="S12.T5.24.24.24.1.m1.1.1" stretchy="false" xref="S12.T5.24.24.24.1.m1.1.1.cmml">↓</mo><annotation-xml encoding="MathML-Content" id="S12.T5.24.24.24.1.m1.1b"><ci id="S12.T5.24.24.24.1.m1.1.1.cmml" xref="S12.T5.24.24.24.1.m1.1.1">↓</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T5.24.24.24.1.m1.1c">\downarrow</annotation><annotation encoding="application/x-llamapun" id="S12.T5.24.24.24.1.m1.1d">↓</annotation></semantics></math> </th> <td class="ltx_td ltx_align_center ltx_border_b" id="S12.T5.24.24.24.3">12’</td> <td class="ltx_td ltx_align_center ltx_border_b" id="S12.T5.24.24.24.4">14’</td> <td class="ltx_td ltx_align_center ltx_border_b" id="S12.T5.24.24.24.5">16’</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r" id="S12.T5.24.24.24.6">13’</td> <td class="ltx_td ltx_align_center ltx_border_b" id="S12.T5.24.24.24.7">16’</td> <td class="ltx_td ltx_align_center ltx_border_b" id="S12.T5.24.24.24.8">20’</td> <td class="ltx_td ltx_align_center ltx_border_b" id="S12.T5.24.24.24.9">23’</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r" id="S12.T5.24.24.24.10">23’</td> <td class="ltx_td ltx_align_center ltx_border_b" id="S12.T5.24.24.24.11">24’</td> <td class="ltx_td ltx_align_center ltx_border_b" id="S12.T5.24.24.24.12">28’</td> <td class="ltx_td ltx_align_center ltx_border_b" id="S12.T5.24.24.24.13">32’</td> <td class="ltx_td ltx_align_center ltx_border_b" id="S12.T5.24.24.24.14">36’</td> </tr> </tbody> </table> </div> </figure> <figure class="ltx_figure" id="S12.F12"> <div class="ltx_flex_figure"> <div class="ltx_flex_cell ltx_flex_size_4"> <figure class="ltx_figure ltx_figure_panel ltx_align_center" id="S12.F12.1"><img alt="Refer to caption" class="ltx_graphics ltx_img_landscape" height="623" id="S12.F12.1.g1" src="x19.png" width="830"/> </figure> </div> <div class="ltx_flex_cell ltx_flex_size_4"> <figure class="ltx_figure ltx_figure_panel ltx_align_center" id="S12.F12.2"><img alt="Refer to caption" class="ltx_graphics ltx_img_landscape" height="623" id="S12.F12.2.g1" src="x20.png" width="830"/> </figure> </div> <div class="ltx_flex_cell ltx_flex_size_4"> <figure class="ltx_figure ltx_figure_panel ltx_align_center" id="S12.F12.3"><img alt="Refer to caption" class="ltx_graphics ltx_img_landscape" height="623" id="S12.F12.3.g1" src="x21.png" width="830"/> </figure> </div> <div class="ltx_flex_cell ltx_flex_size_4"> <figure class="ltx_figure ltx_figure_panel ltx_align_center" id="S12.F12.4"><img alt="Refer to caption" class="ltx_graphics ltx_img_landscape" height="623" id="S12.F12.4.g1" src="x22.png" width="830"/> </figure> </div> <div class="ltx_flex_break"></div> <div class="ltx_flex_cell ltx_flex_size_4"> <figure class="ltx_figure ltx_figure_panel ltx_align_center" id="S12.F12.5"><img alt="Refer to caption" class="ltx_graphics ltx_img_landscape" height="623" id="S12.F12.5.g1" src="x23.png" width="830"/> </figure> </div> <div class="ltx_flex_cell ltx_flex_size_4"> <figure class="ltx_figure ltx_figure_panel ltx_align_center" id="S12.F12.6"><img alt="Refer to caption" class="ltx_graphics ltx_img_landscape" height="623" id="S12.F12.6.g1" src="x24.png" width="830"/> </figure> </div> <div class="ltx_flex_cell ltx_flex_size_4"> <figure class="ltx_figure ltx_figure_panel ltx_align_center" id="S12.F12.7"><img alt="Refer to caption" class="ltx_graphics ltx_img_landscape" height="623" id="S12.F12.7.g1" src="x25.png" width="830"/> </figure> </div> <div class="ltx_flex_cell ltx_flex_size_4"> <figure class="ltx_figure ltx_figure_panel ltx_align_center" id="S12.F12.8"><img alt="Refer to caption" class="ltx_graphics ltx_img_landscape" height="623" id="S12.F12.8.g1" src="x26.png" width="830"/> </figure> </div> </div> <figcaption class="ltx_caption ltx_centering">Figure 12: PSNR/GFLOPs and PSNR/<math alttext="||w||_{0}" class="ltx_Math" display="inline" id="S12.F12.10.1.m1.1"><semantics id="S12.F12.10.1.m1.1b"><msub id="S12.F12.10.1.m1.1.2" xref="S12.F12.10.1.m1.1.2.cmml"><mrow id="S12.F12.10.1.m1.1.2.2.2" xref="S12.F12.10.1.m1.1.2.2.1.cmml"><mo id="S12.F12.10.1.m1.1.2.2.2.1" maxsize="111%" minsize="111%" xref="S12.F12.10.1.m1.1.2.2.1.1.cmml">‖</mo><mi id="S12.F12.10.1.m1.1.1" xref="S12.F12.10.1.m1.1.1.cmml">w</mi><mo id="S12.F12.10.1.m1.1.2.2.2.2" maxsize="111%" minsize="111%" xref="S12.F12.10.1.m1.1.2.2.1.1.cmml">‖</mo></mrow><mn id="S12.F12.10.1.m1.1.2.3" xref="S12.F12.10.1.m1.1.2.3.cmml">0</mn></msub><annotation-xml encoding="MathML-Content" id="S12.F12.10.1.m1.1c"><apply id="S12.F12.10.1.m1.1.2.cmml" xref="S12.F12.10.1.m1.1.2"><csymbol cd="ambiguous" id="S12.F12.10.1.m1.1.2.1.cmml" xref="S12.F12.10.1.m1.1.2">subscript</csymbol><apply id="S12.F12.10.1.m1.1.2.2.1.cmml" xref="S12.F12.10.1.m1.1.2.2.2"><csymbol cd="latexml" id="S12.F12.10.1.m1.1.2.2.1.1.cmml" xref="S12.F12.10.1.m1.1.2.2.2.1">norm</csymbol><ci id="S12.F12.10.1.m1.1.1.cmml" xref="S12.F12.10.1.m1.1.1">𝑤</ci></apply><cn id="S12.F12.10.1.m1.1.2.3.cmml" type="integer" xref="S12.F12.10.1.m1.1.2.3">0</cn></apply></annotation-xml><annotation encoding="application/x-tex" id="S12.F12.10.1.m1.1d">||w||_{0}</annotation><annotation encoding="application/x-llamapun" id="S12.F12.10.1.m1.1e">| | italic_w | | start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT</annotation></semantics></math> plots for DVGO aggregated results.</figcaption> </figure> <figure class="ltx_table" id="S12.T6"> <figcaption class="ltx_caption">Table 6: Aggregated results on TensoRF</figcaption> <div class="ltx_inline-block ltx_transformed_outer" id="S12.T6.24" style="width:433.6pt;height:352.9pt;vertical-align:-0.0pt;"> <table class="ltx_tabular ltx_guessed_headers ltx_align_middle" id="S12.T6.24.24"> <tbody class="ltx_tbody"> <tr class="ltx_tr" id="S12.T6.24.24.25.1"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_t" id="S12.T6.24.24.25.1.1" rowspan="2">Dataset</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_t" id="S12.T6.24.24.25.1.2" rowspan="2">Metrics</th> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" colspan="4" id="S12.T6.24.24.25.1.3">M=3</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" colspan="4" id="S12.T6.24.24.25.1.4">M=4</td> <td class="ltx_td ltx_align_center ltx_border_t" colspan="4" id="S12.T6.24.24.25.1.5">M=5</td> </tr> <tr class="ltx_tr" id="S12.T6.24.24.26.2"> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T6.24.24.26.2.1">baseline</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T6.24.24.26.2.2">Top-1</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T6.24.24.26.2.3">Top-2</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T6.24.24.26.2.4">Ens</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T6.24.24.26.2.5">baseline</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T6.24.24.26.2.6">Top-1</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T6.24.24.26.2.7">Top-2</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T6.24.24.26.2.8">Ens</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T6.24.24.26.2.9">baseline</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T6.24.24.26.2.10">Top-1</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T6.24.24.26.2.11">Top-2</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T6.24.24.26.2.12">Ens</td> </tr> <tr class="ltx_tr" id="S12.T6.1.1.1"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r ltx_border_t" id="S12.T6.1.1.1.2" rowspan="5">Blender</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r ltx_border_t" id="S12.T6.1.1.1.1">PSNR<math alttext="~{}\uparrow" class="ltx_Math" display="inline" id="S12.T6.1.1.1.1.1.m1.1"><semantics id="S12.T6.1.1.1.1.1.m1.1a"><mo id="S12.T6.1.1.1.1.1.m1.1.1" stretchy="false" xref="S12.T6.1.1.1.1.1.m1.1.1.cmml">↑</mo><annotation-xml encoding="MathML-Content" id="S12.T6.1.1.1.1.1.m1.1b"><ci id="S12.T6.1.1.1.1.1.m1.1.1.cmml" xref="S12.T6.1.1.1.1.1.m1.1.1">↑</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T6.1.1.1.1.1.m1.1c">~{}\uparrow</annotation><annotation encoding="application/x-llamapun" id="S12.T6.1.1.1.1.1.m1.1d">↑</annotation></semantics></math></th> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T6.1.1.1.3">33.30</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T6.1.1.1.4">33.45</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T6.1.1.1.5">33.83</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T6.1.1.1.6">33.66</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T6.1.1.1.7">33.19</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T6.1.1.1.8">33.58</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T6.1.1.1.9">33.99</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T6.1.1.1.10">33.83</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T6.1.1.1.11">32.98</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T6.1.1.1.12">33.68</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T6.1.1.1.13">34.09</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T6.1.1.1.14">34.00</td> </tr> <tr class="ltx_tr" id="S12.T6.2.2.2"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T6.2.2.2.1"> SSIM <math alttext="\uparrow" class="ltx_Math" display="inline" id="S12.T6.2.2.2.1.m1.1"><semantics id="S12.T6.2.2.2.1.m1.1a"><mo id="S12.T6.2.2.2.1.m1.1.1" stretchy="false" xref="S12.T6.2.2.2.1.m1.1.1.cmml">↑</mo><annotation-xml encoding="MathML-Content" id="S12.T6.2.2.2.1.m1.1b"><ci id="S12.T6.2.2.2.1.m1.1.1.cmml" xref="S12.T6.2.2.2.1.m1.1.1">↑</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T6.2.2.2.1.m1.1c">\uparrow</annotation><annotation encoding="application/x-llamapun" id="S12.T6.2.2.2.1.m1.1d">↑</annotation></semantics></math> </th> <td class="ltx_td ltx_align_center" id="S12.T6.2.2.2.2">0.962</td> <td class="ltx_td ltx_align_center" id="S12.T6.2.2.2.3">0.965</td> <td class="ltx_td ltx_align_center" id="S12.T6.2.2.2.4">0.967</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T6.2.2.2.5">0.966</td> <td class="ltx_td ltx_align_center" id="S12.T6.2.2.2.6">0.962</td> <td class="ltx_td ltx_align_center" id="S12.T6.2.2.2.7">0.966</td> <td class="ltx_td ltx_align_center" id="S12.T6.2.2.2.8">0.968</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T6.2.2.2.9">0.967</td> <td class="ltx_td ltx_align_center" id="S12.T6.2.2.2.10">0.958</td> <td class="ltx_td ltx_align_center" id="S12.T6.2.2.2.11">0.965</td> <td class="ltx_td ltx_align_center" id="S12.T6.2.2.2.12">0.968</td> <td class="ltx_td ltx_align_center" id="S12.T6.2.2.2.13">0.968</td> </tr> <tr class="ltx_tr" id="S12.T6.3.3.3"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T6.3.3.3.1"> LPIPS <math alttext="\downarrow" class="ltx_Math" display="inline" id="S12.T6.3.3.3.1.m1.1"><semantics id="S12.T6.3.3.3.1.m1.1a"><mo id="S12.T6.3.3.3.1.m1.1.1" stretchy="false" xref="S12.T6.3.3.3.1.m1.1.1.cmml">↓</mo><annotation-xml encoding="MathML-Content" id="S12.T6.3.3.3.1.m1.1b"><ci id="S12.T6.3.3.3.1.m1.1.1.cmml" xref="S12.T6.3.3.3.1.m1.1.1">↓</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T6.3.3.3.1.m1.1c">\downarrow</annotation><annotation encoding="application/x-llamapun" id="S12.T6.3.3.3.1.m1.1d">↓</annotation></semantics></math> </th> <td class="ltx_td ltx_align_center" id="S12.T6.3.3.3.2">0.027</td> <td class="ltx_td ltx_align_center" id="S12.T6.3.3.3.3">0.025</td> <td class="ltx_td ltx_align_center" id="S12.T6.3.3.3.4">0.024</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T6.3.3.3.5">0.024</td> <td class="ltx_td ltx_align_center" id="S12.T6.3.3.3.6">0.027</td> <td class="ltx_td ltx_align_center" id="S12.T6.3.3.3.7">0.024</td> <td class="ltx_td ltx_align_center" id="S12.T6.3.3.3.8">0.022</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T6.3.3.3.9">0.023</td> <td class="ltx_td ltx_align_center" id="S12.T6.3.3.3.10">0.029</td> <td class="ltx_td ltx_align_center" id="S12.T6.3.3.3.11">0.024</td> <td class="ltx_td ltx_align_center" id="S12.T6.3.3.3.12">0.021</td> <td class="ltx_td ltx_align_center" id="S12.T6.3.3.3.13">0.022</td> </tr> <tr class="ltx_tr" id="S12.T6.4.4.4"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T6.4.4.4.1"><math alttext="\|w\|_{0}\downarrow" class="ltx_Math" display="inline" id="S12.T6.4.4.4.1.m1.1"><semantics id="S12.T6.4.4.4.1.m1.1a"><mrow id="S12.T6.4.4.4.1.m1.1.2" xref="S12.T6.4.4.4.1.m1.1.2.cmml"><msub id="S12.T6.4.4.4.1.m1.1.2.2" xref="S12.T6.4.4.4.1.m1.1.2.2.cmml"><mrow id="S12.T6.4.4.4.1.m1.1.2.2.2.2" xref="S12.T6.4.4.4.1.m1.1.2.2.2.1.cmml"><mo id="S12.T6.4.4.4.1.m1.1.2.2.2.2.1" stretchy="false" xref="S12.T6.4.4.4.1.m1.1.2.2.2.1.1.cmml">‖</mo><mi id="S12.T6.4.4.4.1.m1.1.1" xref="S12.T6.4.4.4.1.m1.1.1.cmml">w</mi><mo id="S12.T6.4.4.4.1.m1.1.2.2.2.2.2" stretchy="false" xref="S12.T6.4.4.4.1.m1.1.2.2.2.1.1.cmml">‖</mo></mrow><mn id="S12.T6.4.4.4.1.m1.1.2.2.3" xref="S12.T6.4.4.4.1.m1.1.2.2.3.cmml">0</mn></msub><mo id="S12.T6.4.4.4.1.m1.1.2.1" stretchy="false" xref="S12.T6.4.4.4.1.m1.1.2.1.cmml">↓</mo><mi id="S12.T6.4.4.4.1.m1.1.2.3" xref="S12.T6.4.4.4.1.m1.1.2.3.cmml"></mi></mrow><annotation-xml encoding="MathML-Content" id="S12.T6.4.4.4.1.m1.1b"><apply id="S12.T6.4.4.4.1.m1.1.2.cmml" xref="S12.T6.4.4.4.1.m1.1.2"><ci id="S12.T6.4.4.4.1.m1.1.2.1.cmml" xref="S12.T6.4.4.4.1.m1.1.2.1">↓</ci><apply id="S12.T6.4.4.4.1.m1.1.2.2.cmml" xref="S12.T6.4.4.4.1.m1.1.2.2"><csymbol cd="ambiguous" id="S12.T6.4.4.4.1.m1.1.2.2.1.cmml" xref="S12.T6.4.4.4.1.m1.1.2.2">subscript</csymbol><apply id="S12.T6.4.4.4.1.m1.1.2.2.2.1.cmml" xref="S12.T6.4.4.4.1.m1.1.2.2.2.2"><csymbol cd="latexml" id="S12.T6.4.4.4.1.m1.1.2.2.2.1.1.cmml" xref="S12.T6.4.4.4.1.m1.1.2.2.2.2.1">norm</csymbol><ci id="S12.T6.4.4.4.1.m1.1.1.cmml" xref="S12.T6.4.4.4.1.m1.1.1">𝑤</ci></apply><cn id="S12.T6.4.4.4.1.m1.1.2.2.3.cmml" type="integer" xref="S12.T6.4.4.4.1.m1.1.2.2.3">0</cn></apply><csymbol cd="latexml" id="S12.T6.4.4.4.1.m1.1.2.3.cmml" xref="S12.T6.4.4.4.1.m1.1.2.3">absent</csymbol></apply></annotation-xml><annotation encoding="application/x-tex" id="S12.T6.4.4.4.1.m1.1c">\|w\|_{0}\downarrow</annotation><annotation encoding="application/x-llamapun" id="S12.T6.4.4.4.1.m1.1d">∥ italic_w ∥ start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT ↓</annotation></semantics></math></th> <td class="ltx_td ltx_align_center" id="S12.T6.4.4.4.2">15</td> <td class="ltx_td ltx_align_center" id="S12.T6.4.4.4.3">11</td> <td class="ltx_td ltx_align_center" id="S12.T6.4.4.4.4">15</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T6.4.4.4.5">18</td> <td class="ltx_td ltx_align_center" id="S12.T6.4.4.4.6">26</td> <td class="ltx_td ltx_align_center" id="S12.T6.4.4.4.7">16</td> <td class="ltx_td ltx_align_center" id="S12.T6.4.4.4.8">23</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T6.4.4.4.9">31</td> <td class="ltx_td ltx_align_center" id="S12.T6.4.4.4.10">40</td> <td class="ltx_td ltx_align_center" id="S12.T6.4.4.4.11">24</td> <td class="ltx_td ltx_align_center" id="S12.T6.4.4.4.12">33</td> <td class="ltx_td ltx_align_center" id="S12.T6.4.4.4.13">49</td> </tr> <tr class="ltx_tr" id="S12.T6.5.5.5"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T6.5.5.5.1"> GFLOPs <math alttext="\downarrow" class="ltx_Math" display="inline" id="S12.T6.5.5.5.1.m1.1"><semantics id="S12.T6.5.5.5.1.m1.1a"><mo id="S12.T6.5.5.5.1.m1.1.1" stretchy="false" xref="S12.T6.5.5.5.1.m1.1.1.cmml">↓</mo><annotation-xml encoding="MathML-Content" id="S12.T6.5.5.5.1.m1.1b"><ci id="S12.T6.5.5.5.1.m1.1.1.cmml" xref="S12.T6.5.5.5.1.m1.1.1">↓</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T6.5.5.5.1.m1.1c">\downarrow</annotation><annotation encoding="application/x-llamapun" id="S12.T6.5.5.5.1.m1.1d">↓</annotation></semantics></math> </th> <td class="ltx_td ltx_align_center" id="S12.T6.5.5.5.2">600</td> <td class="ltx_td ltx_align_center" id="S12.T6.5.5.5.3">520</td> <td class="ltx_td ltx_align_center" id="S12.T6.5.5.5.4">958</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T6.5.5.5.5">1327</td> <td class="ltx_td ltx_align_center" id="S12.T6.5.5.5.6">753</td> <td class="ltx_td ltx_align_center" id="S12.T6.5.5.5.7">641</td> <td class="ltx_td ltx_align_center" id="S12.T6.5.5.5.8">1179</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T6.5.5.5.9">1770</td> <td class="ltx_td ltx_align_center" id="S12.T6.5.5.5.10">886</td> <td class="ltx_td ltx_align_center" id="S12.T6.5.5.5.11">732</td> <td class="ltx_td ltx_align_center" id="S12.T6.5.5.5.12">1344</td> <td class="ltx_td ltx_align_center" id="S12.T6.5.5.5.13">2214</td> </tr> <tr class="ltx_tr" id="S12.T6.6.6.6"> <th class="ltx_td ltx_th ltx_th_row ltx_border_r" id="S12.T6.6.6.6.2"></th> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T6.6.6.6.1"> time <math alttext="\downarrow" class="ltx_Math" display="inline" id="S12.T6.6.6.6.1.m1.1"><semantics id="S12.T6.6.6.6.1.m1.1a"><mo id="S12.T6.6.6.6.1.m1.1.1" stretchy="false" xref="S12.T6.6.6.6.1.m1.1.1.cmml">↓</mo><annotation-xml encoding="MathML-Content" id="S12.T6.6.6.6.1.m1.1b"><ci id="S12.T6.6.6.6.1.m1.1.1.cmml" xref="S12.T6.6.6.6.1.m1.1.1">↓</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T6.6.6.6.1.m1.1c">\downarrow</annotation><annotation encoding="application/x-llamapun" id="S12.T6.6.6.6.1.m1.1d">↓</annotation></semantics></math> </th> <td class="ltx_td ltx_align_center" id="S12.T6.6.6.6.3">29’</td> <td class="ltx_td ltx_align_center" id="S12.T6.6.6.6.4">40’</td> <td class="ltx_td ltx_align_center" id="S12.T6.6.6.6.5">44’</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T6.6.6.6.6">40’</td> <td class="ltx_td ltx_align_center" id="S12.T6.6.6.6.7">36’</td> <td class="ltx_td ltx_align_center" id="S12.T6.6.6.6.8">55’</td> <td class="ltx_td ltx_align_center" id="S12.T6.6.6.6.9">61’</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T6.6.6.6.10">53’</td> <td class="ltx_td ltx_align_center" id="S12.T6.6.6.6.11">44’</td> <td class="ltx_td ltx_align_center" id="S12.T6.6.6.6.12">69’</td> <td class="ltx_td ltx_align_center" id="S12.T6.6.6.6.13">76’</td> <td class="ltx_td ltx_align_center" id="S12.T6.6.6.6.14">70’</td> </tr> <tr class="ltx_tr" id="S12.T6.7.7.7"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r ltx_border_t" id="S12.T6.7.7.7.2" rowspan="5">NSVF</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r ltx_border_t" id="S12.T6.7.7.7.1">PSNR<math alttext="~{}\uparrow" class="ltx_Math" display="inline" id="S12.T6.7.7.7.1.1.m1.1"><semantics id="S12.T6.7.7.7.1.1.m1.1a"><mo id="S12.T6.7.7.7.1.1.m1.1.1" stretchy="false" xref="S12.T6.7.7.7.1.1.m1.1.1.cmml">↑</mo><annotation-xml encoding="MathML-Content" id="S12.T6.7.7.7.1.1.m1.1b"><ci id="S12.T6.7.7.7.1.1.m1.1.1.cmml" xref="S12.T6.7.7.7.1.1.m1.1.1">↑</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T6.7.7.7.1.1.m1.1c">~{}\uparrow</annotation><annotation encoding="application/x-llamapun" id="S12.T6.7.7.7.1.1.m1.1d">↑</annotation></semantics></math></th> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T6.7.7.7.3">36.91</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T6.7.7.7.4">36.98</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T6.7.7.7.5">37.58</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T6.7.7.7.6">37.54</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T6.7.7.7.7">36.95</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T6.7.7.7.8">37.18</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T6.7.7.7.9">37.81</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T6.7.7.7.10">37.85</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T6.7.7.7.11">36.70</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T6.7.7.7.12">37.40</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T6.7.7.7.13">37.98</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T6.7.7.7.14">38.08</td> </tr> <tr class="ltx_tr" id="S12.T6.8.8.8"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T6.8.8.8.1"> SSIM <math alttext="\uparrow" class="ltx_Math" display="inline" id="S12.T6.8.8.8.1.m1.1"><semantics id="S12.T6.8.8.8.1.m1.1a"><mo id="S12.T6.8.8.8.1.m1.1.1" stretchy="false" xref="S12.T6.8.8.8.1.m1.1.1.cmml">↑</mo><annotation-xml encoding="MathML-Content" id="S12.T6.8.8.8.1.m1.1b"><ci id="S12.T6.8.8.8.1.m1.1.1.cmml" xref="S12.T6.8.8.8.1.m1.1.1">↑</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T6.8.8.8.1.m1.1c">\uparrow</annotation><annotation encoding="application/x-llamapun" id="S12.T6.8.8.8.1.m1.1d">↑</annotation></semantics></math> </th> <td class="ltx_td ltx_align_center" id="S12.T6.8.8.8.2">0.982</td> <td class="ltx_td ltx_align_center" id="S12.T6.8.8.8.3">0.983</td> <td class="ltx_td ltx_align_center" id="S12.T6.8.8.8.4">0.985</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T6.8.8.8.5">0.985</td> <td class="ltx_td ltx_align_center" id="S12.T6.8.8.8.6">0.981</td> <td class="ltx_td ltx_align_center" id="S12.T6.8.8.8.7">0.983</td> <td class="ltx_td ltx_align_center" id="S12.T6.8.8.8.8">0.986</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T6.8.8.8.9">0.986</td> <td class="ltx_td ltx_align_center" id="S12.T6.8.8.8.10">0.981</td> <td class="ltx_td ltx_align_center" id="S12.T6.8.8.8.11">0.984</td> <td class="ltx_td ltx_align_center" id="S12.T6.8.8.8.12">0.986</td> <td class="ltx_td ltx_align_center" id="S12.T6.8.8.8.13">0.987</td> </tr> <tr class="ltx_tr" id="S12.T6.9.9.9"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T6.9.9.9.1"> LPIPS <math alttext="\downarrow" class="ltx_Math" display="inline" id="S12.T6.9.9.9.1.m1.1"><semantics id="S12.T6.9.9.9.1.m1.1a"><mo id="S12.T6.9.9.9.1.m1.1.1" stretchy="false" xref="S12.T6.9.9.9.1.m1.1.1.cmml">↓</mo><annotation-xml encoding="MathML-Content" id="S12.T6.9.9.9.1.m1.1b"><ci id="S12.T6.9.9.9.1.m1.1.1.cmml" xref="S12.T6.9.9.9.1.m1.1.1">↓</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T6.9.9.9.1.m1.1c">\downarrow</annotation><annotation encoding="application/x-llamapun" id="S12.T6.9.9.9.1.m1.1d">↓</annotation></semantics></math> </th> <td class="ltx_td ltx_align_center" id="S12.T6.9.9.9.2">0.011</td> <td class="ltx_td ltx_align_center" id="S12.T6.9.9.9.3">0.010</td> <td class="ltx_td ltx_align_center" id="S12.T6.9.9.9.4">0.009</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T6.9.9.9.5">0.009</td> <td class="ltx_td ltx_align_center" id="S12.T6.9.9.9.6">0.012</td> <td class="ltx_td ltx_align_center" id="S12.T6.9.9.9.7">0.010</td> <td class="ltx_td ltx_align_center" id="S12.T6.9.9.9.8">0.008</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T6.9.9.9.9">0.008</td> <td class="ltx_td ltx_align_center" id="S12.T6.9.9.9.10">0.013</td> <td class="ltx_td ltx_align_center" id="S12.T6.9.9.9.11">0.009</td> <td class="ltx_td ltx_align_center" id="S12.T6.9.9.9.12">0.008</td> <td class="ltx_td ltx_align_center" id="S12.T6.9.9.9.13">0.008</td> </tr> <tr class="ltx_tr" id="S12.T6.10.10.10"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T6.10.10.10.1"><math alttext="\|w\|_{0}\downarrow" class="ltx_Math" display="inline" id="S12.T6.10.10.10.1.m1.1"><semantics id="S12.T6.10.10.10.1.m1.1a"><mrow id="S12.T6.10.10.10.1.m1.1.2" xref="S12.T6.10.10.10.1.m1.1.2.cmml"><msub id="S12.T6.10.10.10.1.m1.1.2.2" xref="S12.T6.10.10.10.1.m1.1.2.2.cmml"><mrow id="S12.T6.10.10.10.1.m1.1.2.2.2.2" xref="S12.T6.10.10.10.1.m1.1.2.2.2.1.cmml"><mo id="S12.T6.10.10.10.1.m1.1.2.2.2.2.1" stretchy="false" xref="S12.T6.10.10.10.1.m1.1.2.2.2.1.1.cmml">‖</mo><mi id="S12.T6.10.10.10.1.m1.1.1" xref="S12.T6.10.10.10.1.m1.1.1.cmml">w</mi><mo id="S12.T6.10.10.10.1.m1.1.2.2.2.2.2" stretchy="false" xref="S12.T6.10.10.10.1.m1.1.2.2.2.1.1.cmml">‖</mo></mrow><mn id="S12.T6.10.10.10.1.m1.1.2.2.3" xref="S12.T6.10.10.10.1.m1.1.2.2.3.cmml">0</mn></msub><mo id="S12.T6.10.10.10.1.m1.1.2.1" stretchy="false" xref="S12.T6.10.10.10.1.m1.1.2.1.cmml">↓</mo><mi id="S12.T6.10.10.10.1.m1.1.2.3" xref="S12.T6.10.10.10.1.m1.1.2.3.cmml"></mi></mrow><annotation-xml encoding="MathML-Content" id="S12.T6.10.10.10.1.m1.1b"><apply id="S12.T6.10.10.10.1.m1.1.2.cmml" xref="S12.T6.10.10.10.1.m1.1.2"><ci id="S12.T6.10.10.10.1.m1.1.2.1.cmml" xref="S12.T6.10.10.10.1.m1.1.2.1">↓</ci><apply id="S12.T6.10.10.10.1.m1.1.2.2.cmml" xref="S12.T6.10.10.10.1.m1.1.2.2"><csymbol cd="ambiguous" id="S12.T6.10.10.10.1.m1.1.2.2.1.cmml" xref="S12.T6.10.10.10.1.m1.1.2.2">subscript</csymbol><apply id="S12.T6.10.10.10.1.m1.1.2.2.2.1.cmml" xref="S12.T6.10.10.10.1.m1.1.2.2.2.2"><csymbol cd="latexml" id="S12.T6.10.10.10.1.m1.1.2.2.2.1.1.cmml" xref="S12.T6.10.10.10.1.m1.1.2.2.2.2.1">norm</csymbol><ci id="S12.T6.10.10.10.1.m1.1.1.cmml" xref="S12.T6.10.10.10.1.m1.1.1">𝑤</ci></apply><cn id="S12.T6.10.10.10.1.m1.1.2.2.3.cmml" type="integer" xref="S12.T6.10.10.10.1.m1.1.2.2.3">0</cn></apply><csymbol cd="latexml" id="S12.T6.10.10.10.1.m1.1.2.3.cmml" xref="S12.T6.10.10.10.1.m1.1.2.3">absent</csymbol></apply></annotation-xml><annotation encoding="application/x-tex" id="S12.T6.10.10.10.1.m1.1c">\|w\|_{0}\downarrow</annotation><annotation encoding="application/x-llamapun" id="S12.T6.10.10.10.1.m1.1d">∥ italic_w ∥ start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT ↓</annotation></semantics></math></th> <td class="ltx_td ltx_align_center" id="S12.T6.10.10.10.2">17</td> <td class="ltx_td ltx_align_center" id="S12.T6.10.10.10.3">10</td> <td class="ltx_td ltx_align_center" id="S12.T6.10.10.10.4">15</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T6.10.10.10.5">20</td> <td class="ltx_td ltx_align_center" id="S12.T6.10.10.10.6">28</td> <td class="ltx_td ltx_align_center" id="S12.T6.10.10.10.7">19</td> <td class="ltx_td ltx_align_center" id="S12.T6.10.10.10.8">26</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T6.10.10.10.9">35</td> <td class="ltx_td ltx_align_center" id="S12.T6.10.10.10.10">42</td> <td class="ltx_td ltx_align_center" id="S12.T6.10.10.10.11">28</td> <td class="ltx_td ltx_align_center" id="S12.T6.10.10.10.12">38</td> <td class="ltx_td ltx_align_center" id="S12.T6.10.10.10.13">54</td> </tr> <tr class="ltx_tr" id="S12.T6.11.11.11"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T6.11.11.11.1"> GFLOPs <math alttext="\downarrow" class="ltx_Math" display="inline" id="S12.T6.11.11.11.1.m1.1"><semantics id="S12.T6.11.11.11.1.m1.1a"><mo id="S12.T6.11.11.11.1.m1.1.1" stretchy="false" xref="S12.T6.11.11.11.1.m1.1.1.cmml">↓</mo><annotation-xml encoding="MathML-Content" id="S12.T6.11.11.11.1.m1.1b"><ci id="S12.T6.11.11.11.1.m1.1.1.cmml" xref="S12.T6.11.11.11.1.m1.1.1">↓</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T6.11.11.11.1.m1.1c">\downarrow</annotation><annotation encoding="application/x-llamapun" id="S12.T6.11.11.11.1.m1.1d">↓</annotation></semantics></math> </th> <td class="ltx_td ltx_align_center" id="S12.T6.11.11.11.2">477</td> <td class="ltx_td ltx_align_center" id="S12.T6.11.11.11.3">414</td> <td class="ltx_td ltx_align_center" id="S12.T6.11.11.11.4">761</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T6.11.11.11.5">1055</td> <td class="ltx_td ltx_align_center" id="S12.T6.11.11.11.6">591</td> <td class="ltx_td ltx_align_center" id="S12.T6.11.11.11.7">504</td> <td class="ltx_td ltx_align_center" id="S12.T6.11.11.11.8">924</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T6.11.11.11.9">1408</td> <td class="ltx_td ltx_align_center" id="S12.T6.11.11.11.10">706</td> <td class="ltx_td ltx_align_center" id="S12.T6.11.11.11.11">575</td> <td class="ltx_td ltx_align_center" id="S12.T6.11.11.11.12">1053</td> <td class="ltx_td ltx_align_center" id="S12.T6.11.11.11.13">1763</td> </tr> <tr class="ltx_tr" id="S12.T6.12.12.12"> <th class="ltx_td ltx_th ltx_th_row ltx_border_r" id="S12.T6.12.12.12.2"></th> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T6.12.12.12.1"> time <math alttext="\downarrow" class="ltx_Math" display="inline" id="S12.T6.12.12.12.1.m1.1"><semantics id="S12.T6.12.12.12.1.m1.1a"><mo id="S12.T6.12.12.12.1.m1.1.1" stretchy="false" xref="S12.T6.12.12.12.1.m1.1.1.cmml">↓</mo><annotation-xml encoding="MathML-Content" id="S12.T6.12.12.12.1.m1.1b"><ci id="S12.T6.12.12.12.1.m1.1.1.cmml" xref="S12.T6.12.12.12.1.m1.1.1">↓</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T6.12.12.12.1.m1.1c">\downarrow</annotation><annotation encoding="application/x-llamapun" id="S12.T6.12.12.12.1.m1.1d">↓</annotation></semantics></math> </th> <td class="ltx_td ltx_align_center" id="S12.T6.12.12.12.3">29’</td> <td class="ltx_td ltx_align_center" id="S12.T6.12.12.12.4">45’</td> <td class="ltx_td ltx_align_center" id="S12.T6.12.12.12.5">44’</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T6.12.12.12.6">40’</td> <td class="ltx_td ltx_align_center" id="S12.T6.12.12.12.7">36’</td> <td class="ltx_td ltx_align_center" id="S12.T6.12.12.12.8">58’</td> <td class="ltx_td ltx_align_center" id="S12.T6.12.12.12.9">60’</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T6.12.12.12.10">56’</td> <td class="ltx_td ltx_align_center" id="S12.T6.12.12.12.11">46’</td> <td class="ltx_td ltx_align_center" id="S12.T6.12.12.12.12">75’</td> <td class="ltx_td ltx_align_center" id="S12.T6.12.12.12.13">75’</td> <td class="ltx_td ltx_align_center" id="S12.T6.12.12.12.14">75’</td> </tr> <tr class="ltx_tr" id="S12.T6.13.13.13"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r ltx_border_t" id="S12.T6.13.13.13.2" rowspan="5">TaT</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r ltx_border_t" id="S12.T6.13.13.13.1">PSNR<math alttext="~{}\uparrow" class="ltx_Math" display="inline" id="S12.T6.13.13.13.1.1.m1.1"><semantics id="S12.T6.13.13.13.1.1.m1.1a"><mo id="S12.T6.13.13.13.1.1.m1.1.1" stretchy="false" xref="S12.T6.13.13.13.1.1.m1.1.1.cmml">↑</mo><annotation-xml encoding="MathML-Content" id="S12.T6.13.13.13.1.1.m1.1b"><ci id="S12.T6.13.13.13.1.1.m1.1.1.cmml" xref="S12.T6.13.13.13.1.1.m1.1.1">↑</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T6.13.13.13.1.1.m1.1c">~{}\uparrow</annotation><annotation encoding="application/x-llamapun" id="S12.T6.13.13.13.1.1.m1.1d">↑</annotation></semantics></math></th> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T6.13.13.13.3">28.65</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T6.13.13.13.4">28.79</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T6.13.13.13.5">29.00</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T6.13.13.13.6">28.95</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T6.13.13.13.7">28.55</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T6.13.13.13.8">28.77</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T6.13.13.13.9">29.05</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T6.13.13.13.10">29.04</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T6.13.13.13.11">28.44</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T6.13.13.13.12">28.78</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T6.13.13.13.13">29.14</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T6.13.13.13.14">29.11</td> </tr> <tr class="ltx_tr" id="S12.T6.14.14.14"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T6.14.14.14.1"> SSIM <math alttext="\uparrow" class="ltx_Math" display="inline" id="S12.T6.14.14.14.1.m1.1"><semantics id="S12.T6.14.14.14.1.m1.1a"><mo id="S12.T6.14.14.14.1.m1.1.1" stretchy="false" xref="S12.T6.14.14.14.1.m1.1.1.cmml">↑</mo><annotation-xml encoding="MathML-Content" id="S12.T6.14.14.14.1.m1.1b"><ci id="S12.T6.14.14.14.1.m1.1.1.cmml" xref="S12.T6.14.14.14.1.m1.1.1">↑</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T6.14.14.14.1.m1.1c">\uparrow</annotation><annotation encoding="application/x-llamapun" id="S12.T6.14.14.14.1.m1.1d">↑</annotation></semantics></math> </th> <td class="ltx_td ltx_align_center" id="S12.T6.14.14.14.2">0.906</td> <td class="ltx_td ltx_align_center" id="S12.T6.14.14.14.3">0.922</td> <td class="ltx_td ltx_align_center" id="S12.T6.14.14.14.4">0.924</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T6.14.14.14.5">0.925</td> <td class="ltx_td ltx_align_center" id="S12.T6.14.14.14.6">0.906</td> <td class="ltx_td ltx_align_center" id="S12.T6.14.14.14.7">0.924</td> <td class="ltx_td ltx_align_center" id="S12.T6.14.14.14.8">0.927</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T6.14.14.14.9">0.927</td> <td class="ltx_td ltx_align_center" id="S12.T6.14.14.14.10">0.905</td> <td class="ltx_td ltx_align_center" id="S12.T6.14.14.14.11">0.924</td> <td class="ltx_td ltx_align_center" id="S12.T6.14.14.14.12">0.929</td> <td class="ltx_td ltx_align_center" id="S12.T6.14.14.14.13">0.928</td> </tr> <tr class="ltx_tr" id="S12.T6.15.15.15"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T6.15.15.15.1"> LPIPS <math alttext="\downarrow" class="ltx_Math" display="inline" id="S12.T6.15.15.15.1.m1.1"><semantics id="S12.T6.15.15.15.1.m1.1a"><mo id="S12.T6.15.15.15.1.m1.1.1" stretchy="false" xref="S12.T6.15.15.15.1.m1.1.1.cmml">↓</mo><annotation-xml encoding="MathML-Content" id="S12.T6.15.15.15.1.m1.1b"><ci id="S12.T6.15.15.15.1.m1.1.1.cmml" xref="S12.T6.15.15.15.1.m1.1.1">↓</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T6.15.15.15.1.m1.1c">\downarrow</annotation><annotation encoding="application/x-llamapun" id="S12.T6.15.15.15.1.m1.1d">↓</annotation></semantics></math> </th> <td class="ltx_td ltx_align_center" id="S12.T6.15.15.15.2">0.136</td> <td class="ltx_td ltx_align_center" id="S12.T6.15.15.15.3">0.112</td> <td class="ltx_td ltx_align_center" id="S12.T6.15.15.15.4">0.111</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T6.15.15.15.5">0.113</td> <td class="ltx_td ltx_align_center" id="S12.T6.15.15.15.6">0.130</td> <td class="ltx_td ltx_align_center" id="S12.T6.15.15.15.7">0.106</td> <td class="ltx_td ltx_align_center" id="S12.T6.15.15.15.8">0.104</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T6.15.15.15.9">0.113</td> <td class="ltx_td ltx_align_center" id="S12.T6.15.15.15.10">0.123</td> <td class="ltx_td ltx_align_center" id="S12.T6.15.15.15.11">0.106</td> <td class="ltx_td ltx_align_center" id="S12.T6.15.15.15.12">0.099</td> <td class="ltx_td ltx_align_center" id="S12.T6.15.15.15.13">0.109</td> </tr> <tr class="ltx_tr" id="S12.T6.16.16.16"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T6.16.16.16.1"><math alttext="\|w\|_{0}\downarrow" class="ltx_Math" display="inline" id="S12.T6.16.16.16.1.m1.1"><semantics id="S12.T6.16.16.16.1.m1.1a"><mrow id="S12.T6.16.16.16.1.m1.1.2" xref="S12.T6.16.16.16.1.m1.1.2.cmml"><msub id="S12.T6.16.16.16.1.m1.1.2.2" xref="S12.T6.16.16.16.1.m1.1.2.2.cmml"><mrow id="S12.T6.16.16.16.1.m1.1.2.2.2.2" xref="S12.T6.16.16.16.1.m1.1.2.2.2.1.cmml"><mo id="S12.T6.16.16.16.1.m1.1.2.2.2.2.1" stretchy="false" xref="S12.T6.16.16.16.1.m1.1.2.2.2.1.1.cmml">‖</mo><mi id="S12.T6.16.16.16.1.m1.1.1" xref="S12.T6.16.16.16.1.m1.1.1.cmml">w</mi><mo id="S12.T6.16.16.16.1.m1.1.2.2.2.2.2" stretchy="false" xref="S12.T6.16.16.16.1.m1.1.2.2.2.1.1.cmml">‖</mo></mrow><mn id="S12.T6.16.16.16.1.m1.1.2.2.3" xref="S12.T6.16.16.16.1.m1.1.2.2.3.cmml">0</mn></msub><mo id="S12.T6.16.16.16.1.m1.1.2.1" stretchy="false" xref="S12.T6.16.16.16.1.m1.1.2.1.cmml">↓</mo><mi id="S12.T6.16.16.16.1.m1.1.2.3" xref="S12.T6.16.16.16.1.m1.1.2.3.cmml"></mi></mrow><annotation-xml encoding="MathML-Content" id="S12.T6.16.16.16.1.m1.1b"><apply id="S12.T6.16.16.16.1.m1.1.2.cmml" xref="S12.T6.16.16.16.1.m1.1.2"><ci id="S12.T6.16.16.16.1.m1.1.2.1.cmml" xref="S12.T6.16.16.16.1.m1.1.2.1">↓</ci><apply id="S12.T6.16.16.16.1.m1.1.2.2.cmml" xref="S12.T6.16.16.16.1.m1.1.2.2"><csymbol cd="ambiguous" id="S12.T6.16.16.16.1.m1.1.2.2.1.cmml" xref="S12.T6.16.16.16.1.m1.1.2.2">subscript</csymbol><apply id="S12.T6.16.16.16.1.m1.1.2.2.2.1.cmml" xref="S12.T6.16.16.16.1.m1.1.2.2.2.2"><csymbol cd="latexml" id="S12.T6.16.16.16.1.m1.1.2.2.2.1.1.cmml" xref="S12.T6.16.16.16.1.m1.1.2.2.2.2.1">norm</csymbol><ci id="S12.T6.16.16.16.1.m1.1.1.cmml" xref="S12.T6.16.16.16.1.m1.1.1">𝑤</ci></apply><cn id="S12.T6.16.16.16.1.m1.1.2.2.3.cmml" type="integer" xref="S12.T6.16.16.16.1.m1.1.2.2.3">0</cn></apply><csymbol cd="latexml" id="S12.T6.16.16.16.1.m1.1.2.3.cmml" xref="S12.T6.16.16.16.1.m1.1.2.3">absent</csymbol></apply></annotation-xml><annotation encoding="application/x-tex" id="S12.T6.16.16.16.1.m1.1c">\|w\|_{0}\downarrow</annotation><annotation encoding="application/x-llamapun" id="S12.T6.16.16.16.1.m1.1d">∥ italic_w ∥ start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT ↓</annotation></semantics></math></th> <td class="ltx_td ltx_align_center" id="S12.T6.16.16.16.2">3</td> <td class="ltx_td ltx_align_center" id="S12.T6.16.16.16.3">5</td> <td class="ltx_td ltx_align_center" id="S12.T6.16.16.16.4">8</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T6.16.16.16.5">11</td> <td class="ltx_td ltx_align_center" id="S12.T6.16.16.16.6">5</td> <td class="ltx_td ltx_align_center" id="S12.T6.16.16.16.7">7</td> <td class="ltx_td ltx_align_center" id="S12.T6.16.16.16.8">11</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T6.16.16.16.9">49</td> <td class="ltx_td ltx_align_center" id="S12.T6.16.16.16.10">7</td> <td class="ltx_td ltx_align_center" id="S12.T6.16.16.16.11">9</td> <td class="ltx_td ltx_align_center" id="S12.T6.16.16.16.12">15</td> <td class="ltx_td ltx_align_center" id="S12.T6.16.16.16.13">80</td> </tr> <tr class="ltx_tr" id="S12.T6.17.17.17"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T6.17.17.17.1"> GFLOPs <math alttext="\downarrow" class="ltx_Math" display="inline" id="S12.T6.17.17.17.1.m1.1"><semantics id="S12.T6.17.17.17.1.m1.1a"><mo id="S12.T6.17.17.17.1.m1.1.1" stretchy="false" xref="S12.T6.17.17.17.1.m1.1.1.cmml">↓</mo><annotation-xml encoding="MathML-Content" id="S12.T6.17.17.17.1.m1.1b"><ci id="S12.T6.17.17.17.1.m1.1.1.cmml" xref="S12.T6.17.17.17.1.m1.1.1">↓</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T6.17.17.17.1.m1.1c">\downarrow</annotation><annotation encoding="application/x-llamapun" id="S12.T6.17.17.17.1.m1.1d">↓</annotation></semantics></math> </th> <td class="ltx_td ltx_align_center" id="S12.T6.17.17.17.2">2379</td> <td class="ltx_td ltx_align_center" id="S12.T6.17.17.17.3">2151</td> <td class="ltx_td ltx_align_center" id="S12.T6.17.17.17.4">3959</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T6.17.17.17.5">5481</td> <td class="ltx_td ltx_align_center" id="S12.T6.17.17.17.6">2915</td> <td class="ltx_td ltx_align_center" id="S12.T6.17.17.17.7">2475</td> <td class="ltx_td ltx_align_center" id="S12.T6.17.17.17.8">4549</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T6.17.17.17.9">7311</td> <td class="ltx_td ltx_align_center" id="S12.T6.17.17.17.10">3567</td> <td class="ltx_td ltx_align_center" id="S12.T6.17.17.17.11">2791</td> <td class="ltx_td ltx_align_center" id="S12.T6.17.17.17.12">5126</td> <td class="ltx_td ltx_align_center" id="S12.T6.17.17.17.13">9146</td> </tr> <tr class="ltx_tr" id="S12.T6.18.18.18"> <th class="ltx_td ltx_th ltx_th_row ltx_border_r" id="S12.T6.18.18.18.2"></th> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T6.18.18.18.1"> time <math alttext="\downarrow" class="ltx_Math" display="inline" id="S12.T6.18.18.18.1.m1.1"><semantics id="S12.T6.18.18.18.1.m1.1a"><mo id="S12.T6.18.18.18.1.m1.1.1" stretchy="false" xref="S12.T6.18.18.18.1.m1.1.1.cmml">↓</mo><annotation-xml encoding="MathML-Content" id="S12.T6.18.18.18.1.m1.1b"><ci id="S12.T6.18.18.18.1.m1.1.1.cmml" xref="S12.T6.18.18.18.1.m1.1.1">↓</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T6.18.18.18.1.m1.1c">\downarrow</annotation><annotation encoding="application/x-llamapun" id="S12.T6.18.18.18.1.m1.1d">↓</annotation></semantics></math> </th> <td class="ltx_td ltx_align_center" id="S12.T6.18.18.18.3">40’</td> <td class="ltx_td ltx_align_center" id="S12.T6.18.18.18.4">41’</td> <td class="ltx_td ltx_align_center" id="S12.T6.18.18.18.5">43’</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T6.18.18.18.6">44’</td> <td class="ltx_td ltx_align_center" id="S12.T6.18.18.18.7">54’</td> <td class="ltx_td ltx_align_center" id="S12.T6.18.18.18.8">53’</td> <td class="ltx_td ltx_align_center" id="S12.T6.18.18.18.9">59’</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T6.18.18.18.10">72’</td> <td class="ltx_td ltx_align_center" id="S12.T6.18.18.18.11">72’</td> <td class="ltx_td ltx_align_center" id="S12.T6.18.18.18.12">70’</td> <td class="ltx_td ltx_align_center" id="S12.T6.18.18.18.13">78’</td> <td class="ltx_td ltx_align_center" id="S12.T6.18.18.18.14">101’</td> </tr> <tr class="ltx_tr" id="S12.T6.19.19.19"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r ltx_border_t" id="S12.T6.19.19.19.2" rowspan="5">LLFF</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r ltx_border_t" id="S12.T6.19.19.19.1">PSNR<math alttext="~{}\uparrow" class="ltx_Math" display="inline" id="S12.T6.19.19.19.1.1.m1.1"><semantics id="S12.T6.19.19.19.1.1.m1.1a"><mo id="S12.T6.19.19.19.1.1.m1.1.1" stretchy="false" xref="S12.T6.19.19.19.1.1.m1.1.1.cmml">↑</mo><annotation-xml encoding="MathML-Content" id="S12.T6.19.19.19.1.1.m1.1b"><ci id="S12.T6.19.19.19.1.1.m1.1.1.cmml" xref="S12.T6.19.19.19.1.1.m1.1.1">↑</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T6.19.19.19.1.1.m1.1c">~{}\uparrow</annotation><annotation encoding="application/x-llamapun" id="S12.T6.19.19.19.1.1.m1.1d">↑</annotation></semantics></math></th> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T6.19.19.19.3">26.60</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T6.19.19.19.4">26.58</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T6.19.19.19.5">26.86</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T6.19.19.19.6">26.80</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T6.19.19.19.7">26.72</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T6.19.19.19.8">26.73</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T6.19.19.19.9">26.98</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T6.19.19.19.10">27.00</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T6.19.19.19.11">26.71</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T6.19.19.19.12">26.73</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T6.19.19.19.13">27.09</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T6.19.19.19.14">27.10</td> </tr> <tr class="ltx_tr" id="S12.T6.20.20.20"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T6.20.20.20.1"> SSIM <math alttext="\uparrow" class="ltx_Math" display="inline" id="S12.T6.20.20.20.1.m1.1"><semantics id="S12.T6.20.20.20.1.m1.1a"><mo id="S12.T6.20.20.20.1.m1.1.1" stretchy="false" xref="S12.T6.20.20.20.1.m1.1.1.cmml">↑</mo><annotation-xml encoding="MathML-Content" id="S12.T6.20.20.20.1.m1.1b"><ci id="S12.T6.20.20.20.1.m1.1.1.cmml" xref="S12.T6.20.20.20.1.m1.1.1">↑</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T6.20.20.20.1.m1.1c">\uparrow</annotation><annotation encoding="application/x-llamapun" id="S12.T6.20.20.20.1.m1.1d">↑</annotation></semantics></math> </th> <td class="ltx_td ltx_align_center" id="S12.T6.20.20.20.2">0.834</td> <td class="ltx_td ltx_align_center" id="S12.T6.20.20.20.3">0.835</td> <td class="ltx_td ltx_align_center" id="S12.T6.20.20.20.4">0.841</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T6.20.20.20.5">0.840</td> <td class="ltx_td ltx_align_center" id="S12.T6.20.20.20.6">0.836</td> <td class="ltx_td ltx_align_center" id="S12.T6.20.20.20.7">0.839</td> <td class="ltx_td ltx_align_center" id="S12.T6.20.20.20.8">0.843</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T6.20.20.20.9">0.843</td> <td class="ltx_td ltx_align_center" id="S12.T6.20.20.20.10">0.835</td> <td class="ltx_td ltx_align_center" id="S12.T6.20.20.20.11">0.836</td> <td class="ltx_td ltx_align_center" id="S12.T6.20.20.20.12">0.862</td> <td class="ltx_td ltx_align_center" id="S12.T6.20.20.20.13">0.864</td> </tr> <tr class="ltx_tr" id="S12.T6.21.21.21"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T6.21.21.21.1"> LPIPS <math alttext="\downarrow" class="ltx_Math" display="inline" id="S12.T6.21.21.21.1.m1.1"><semantics id="S12.T6.21.21.21.1.m1.1a"><mo id="S12.T6.21.21.21.1.m1.1.1" stretchy="false" xref="S12.T6.21.21.21.1.m1.1.1.cmml">↓</mo><annotation-xml encoding="MathML-Content" id="S12.T6.21.21.21.1.m1.1b"><ci id="S12.T6.21.21.21.1.m1.1.1.cmml" xref="S12.T6.21.21.21.1.m1.1.1">↓</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T6.21.21.21.1.m1.1c">\downarrow</annotation><annotation encoding="application/x-llamapun" id="S12.T6.21.21.21.1.m1.1d">↓</annotation></semantics></math> </th> <td class="ltx_td ltx_align_center" id="S12.T6.21.21.21.2">0.127</td> <td class="ltx_td ltx_align_center" id="S12.T6.21.21.21.3">0.117</td> <td class="ltx_td ltx_align_center" id="S12.T6.21.21.21.4">0.110</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T6.21.21.21.5">0.116</td> <td class="ltx_td ltx_align_center" id="S12.T6.21.21.21.6">0.118</td> <td class="ltx_td ltx_align_center" id="S12.T6.21.21.21.7">0.112</td> <td class="ltx_td ltx_align_center" id="S12.T6.21.21.21.8">0.105</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T6.21.21.21.9">0.107</td> <td class="ltx_td ltx_align_center" id="S12.T6.21.21.21.10">0.114</td> <td class="ltx_td ltx_align_center" id="S12.T6.21.21.21.11">0.111</td> <td class="ltx_td ltx_align_center" id="S12.T6.21.21.21.12">0.101</td> <td class="ltx_td ltx_align_center" id="S12.T6.21.21.21.13">0.101</td> </tr> <tr class="ltx_tr" id="S12.T6.22.22.22"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T6.22.22.22.1"><math alttext="\|w\|_{0}\downarrow" class="ltx_Math" display="inline" id="S12.T6.22.22.22.1.m1.1"><semantics id="S12.T6.22.22.22.1.m1.1a"><mrow id="S12.T6.22.22.22.1.m1.1.2" xref="S12.T6.22.22.22.1.m1.1.2.cmml"><msub id="S12.T6.22.22.22.1.m1.1.2.2" xref="S12.T6.22.22.22.1.m1.1.2.2.cmml"><mrow id="S12.T6.22.22.22.1.m1.1.2.2.2.2" xref="S12.T6.22.22.22.1.m1.1.2.2.2.1.cmml"><mo id="S12.T6.22.22.22.1.m1.1.2.2.2.2.1" stretchy="false" xref="S12.T6.22.22.22.1.m1.1.2.2.2.1.1.cmml">‖</mo><mi id="S12.T6.22.22.22.1.m1.1.1" xref="S12.T6.22.22.22.1.m1.1.1.cmml">w</mi><mo id="S12.T6.22.22.22.1.m1.1.2.2.2.2.2" stretchy="false" xref="S12.T6.22.22.22.1.m1.1.2.2.2.1.1.cmml">‖</mo></mrow><mn id="S12.T6.22.22.22.1.m1.1.2.2.3" xref="S12.T6.22.22.22.1.m1.1.2.2.3.cmml">0</mn></msub><mo id="S12.T6.22.22.22.1.m1.1.2.1" stretchy="false" xref="S12.T6.22.22.22.1.m1.1.2.1.cmml">↓</mo><mi id="S12.T6.22.22.22.1.m1.1.2.3" xref="S12.T6.22.22.22.1.m1.1.2.3.cmml"></mi></mrow><annotation-xml encoding="MathML-Content" id="S12.T6.22.22.22.1.m1.1b"><apply id="S12.T6.22.22.22.1.m1.1.2.cmml" xref="S12.T6.22.22.22.1.m1.1.2"><ci id="S12.T6.22.22.22.1.m1.1.2.1.cmml" xref="S12.T6.22.22.22.1.m1.1.2.1">↓</ci><apply id="S12.T6.22.22.22.1.m1.1.2.2.cmml" xref="S12.T6.22.22.22.1.m1.1.2.2"><csymbol cd="ambiguous" id="S12.T6.22.22.22.1.m1.1.2.2.1.cmml" xref="S12.T6.22.22.22.1.m1.1.2.2">subscript</csymbol><apply id="S12.T6.22.22.22.1.m1.1.2.2.2.1.cmml" xref="S12.T6.22.22.22.1.m1.1.2.2.2.2"><csymbol cd="latexml" id="S12.T6.22.22.22.1.m1.1.2.2.2.1.1.cmml" xref="S12.T6.22.22.22.1.m1.1.2.2.2.2.1">norm</csymbol><ci id="S12.T6.22.22.22.1.m1.1.1.cmml" xref="S12.T6.22.22.22.1.m1.1.1">𝑤</ci></apply><cn id="S12.T6.22.22.22.1.m1.1.2.2.3.cmml" type="integer" xref="S12.T6.22.22.22.1.m1.1.2.2.3">0</cn></apply><csymbol cd="latexml" id="S12.T6.22.22.22.1.m1.1.2.3.cmml" xref="S12.T6.22.22.22.1.m1.1.2.3">absent</csymbol></apply></annotation-xml><annotation encoding="application/x-tex" id="S12.T6.22.22.22.1.m1.1c">\|w\|_{0}\downarrow</annotation><annotation encoding="application/x-llamapun" id="S12.T6.22.22.22.1.m1.1d">∥ italic_w ∥ start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT ↓</annotation></semantics></math></th> <td class="ltx_td ltx_align_center" id="S12.T6.22.22.22.2">9</td> <td class="ltx_td ltx_align_center" id="S12.T6.22.22.22.3">5</td> <td class="ltx_td ltx_align_center" id="S12.T6.22.22.22.4">6</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T6.22.22.22.5">8</td> <td class="ltx_td ltx_align_center" id="S12.T6.22.22.22.6">13</td> <td class="ltx_td ltx_align_center" id="S12.T6.22.22.22.7">6</td> <td class="ltx_td ltx_align_center" id="S12.T6.22.22.22.8">10</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T6.22.22.22.9">14</td> <td class="ltx_td ltx_align_center" id="S12.T6.22.22.22.10">19</td> <td class="ltx_td ltx_align_center" id="S12.T6.22.22.22.11">11</td> <td class="ltx_td ltx_align_center" id="S12.T6.22.22.22.12">16</td> <td class="ltx_td ltx_align_center" id="S12.T6.22.22.22.13">23</td> </tr> <tr class="ltx_tr" id="S12.T6.23.23.23"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T6.23.23.23.1"> GFLOPs <math alttext="\downarrow" class="ltx_Math" display="inline" id="S12.T6.23.23.23.1.m1.1"><semantics id="S12.T6.23.23.23.1.m1.1a"><mo id="S12.T6.23.23.23.1.m1.1.1" stretchy="false" xref="S12.T6.23.23.23.1.m1.1.1.cmml">↓</mo><annotation-xml encoding="MathML-Content" id="S12.T6.23.23.23.1.m1.1b"><ci id="S12.T6.23.23.23.1.m1.1.1.cmml" xref="S12.T6.23.23.23.1.m1.1.1">↓</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T6.23.23.23.1.m1.1c">\downarrow</annotation><annotation encoding="application/x-llamapun" id="S12.T6.23.23.23.1.m1.1d">↓</annotation></semantics></math> </th> <td class="ltx_td ltx_align_center" id="S12.T6.23.23.23.2">3111</td> <td class="ltx_td ltx_align_center" id="S12.T6.23.23.23.3">2016</td> <td class="ltx_td ltx_align_center" id="S12.T6.23.23.23.4">3707</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T6.23.23.23.5">5100</td> <td class="ltx_td ltx_align_center" id="S12.T6.23.23.23.6">3779</td> <td class="ltx_td ltx_align_center" id="S12.T6.23.23.23.7">2576</td> <td class="ltx_td ltx_align_center" id="S12.T6.23.23.23.8">4731</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T6.23.23.23.9">8660</td> <td class="ltx_td ltx_align_center" id="S12.T6.23.23.23.10">4542</td> <td class="ltx_td ltx_align_center" id="S12.T6.23.23.23.11">3226</td> <td class="ltx_td ltx_align_center" id="S12.T6.23.23.23.12">5921</td> <td class="ltx_td ltx_align_center" id="S12.T6.23.23.23.13">13522</td> </tr> <tr class="ltx_tr" id="S12.T6.24.24.24"> <th class="ltx_td ltx_th ltx_th_row ltx_border_b ltx_border_r" id="S12.T6.24.24.24.2"></th> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_b ltx_border_r" id="S12.T6.24.24.24.1"> time <math alttext="\downarrow" class="ltx_Math" display="inline" id="S12.T6.24.24.24.1.m1.1"><semantics id="S12.T6.24.24.24.1.m1.1a"><mo id="S12.T6.24.24.24.1.m1.1.1" stretchy="false" xref="S12.T6.24.24.24.1.m1.1.1.cmml">↓</mo><annotation-xml encoding="MathML-Content" id="S12.T6.24.24.24.1.m1.1b"><ci id="S12.T6.24.24.24.1.m1.1.1.cmml" xref="S12.T6.24.24.24.1.m1.1.1">↓</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T6.24.24.24.1.m1.1c">\downarrow</annotation><annotation encoding="application/x-llamapun" id="S12.T6.24.24.24.1.m1.1d">↓</annotation></semantics></math> </th> <td class="ltx_td ltx_align_center ltx_border_b" id="S12.T6.24.24.24.3">36’</td> <td class="ltx_td ltx_align_center ltx_border_b" id="S12.T6.24.24.24.4">27’</td> <td class="ltx_td ltx_align_center ltx_border_b" id="S12.T6.24.24.24.5">31’</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r" id="S12.T6.24.24.24.6">31’</td> <td class="ltx_td ltx_align_center ltx_border_b" id="S12.T6.24.24.24.7">49’</td> <td class="ltx_td ltx_align_center ltx_border_b" id="S12.T6.24.24.24.8">37’</td> <td class="ltx_td ltx_align_center ltx_border_b" id="S12.T6.24.24.24.9">43’</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r" id="S12.T6.24.24.24.10">49’</td> <td class="ltx_td ltx_align_center ltx_border_b" id="S12.T6.24.24.24.11">58’</td> <td class="ltx_td ltx_align_center ltx_border_b" id="S12.T6.24.24.24.12">49’</td> <td class="ltx_td ltx_align_center ltx_border_b" id="S12.T6.24.24.24.13">57’</td> <td class="ltx_td ltx_align_center ltx_border_b" id="S12.T6.24.24.24.14">68’</td> </tr> </tbody> </table> </div> </figure> <figure class="ltx_figure" id="S12.F13"> <div class="ltx_flex_figure"> <div class="ltx_flex_cell ltx_flex_size_4"> <figure class="ltx_figure ltx_figure_panel ltx_align_center" id="S12.F13.1"><img alt="Refer to caption" class="ltx_graphics ltx_img_landscape" height="623" id="S12.F13.1.g1" src="x27.png" width="830"/> </figure> </div> <div class="ltx_flex_cell ltx_flex_size_4"> <figure class="ltx_figure ltx_figure_panel ltx_align_center" id="S12.F13.2"><img alt="Refer to caption" class="ltx_graphics ltx_img_landscape" height="623" id="S12.F13.2.g1" src="x28.png" width="830"/> </figure> </div> <div class="ltx_flex_cell ltx_flex_size_4"> <figure class="ltx_figure ltx_figure_panel ltx_align_center" id="S12.F13.3"><img alt="Refer to caption" class="ltx_graphics ltx_img_landscape" height="623" id="S12.F13.3.g1" src="x29.png" width="830"/> </figure> </div> <div class="ltx_flex_cell ltx_flex_size_4"> <figure class="ltx_figure ltx_figure_panel ltx_align_center" id="S12.F13.4"><img alt="Refer to caption" class="ltx_graphics ltx_img_landscape" height="623" id="S12.F13.4.g1" src="x30.png" width="830"/> </figure> </div> <div class="ltx_flex_break"></div> <div class="ltx_flex_cell ltx_flex_size_4"> <figure class="ltx_figure ltx_figure_panel ltx_align_center" id="S12.F13.5"><img alt="Refer to caption" class="ltx_graphics ltx_img_landscape" height="623" id="S12.F13.5.g1" src="x31.png" width="830"/> </figure> </div> <div class="ltx_flex_cell ltx_flex_size_4"> <figure class="ltx_figure ltx_figure_panel ltx_align_center" id="S12.F13.6"><img alt="Refer to caption" class="ltx_graphics ltx_img_landscape" height="623" id="S12.F13.6.g1" src="x32.png" width="830"/> </figure> </div> <div class="ltx_flex_cell ltx_flex_size_4"> <figure class="ltx_figure ltx_figure_panel ltx_align_center" id="S12.F13.7"><img alt="Refer to caption" class="ltx_graphics ltx_img_landscape" height="623" id="S12.F13.7.g1" src="x33.png" width="830"/> </figure> </div> <div class="ltx_flex_cell ltx_flex_size_4"> <figure class="ltx_figure ltx_figure_panel ltx_align_center" id="S12.F13.8"><img alt="Refer to caption" class="ltx_graphics ltx_img_landscape" height="623" id="S12.F13.8.g1" src="x34.png" width="830"/> </figure> </div> </div> <figcaption class="ltx_caption ltx_centering">Figure 13: PSNR/GFLOPs and PSNR/<math alttext="||w||_{0}" class="ltx_Math" display="inline" id="S12.F13.10.1.m1.1"><semantics id="S12.F13.10.1.m1.1b"><msub id="S12.F13.10.1.m1.1.2" xref="S12.F13.10.1.m1.1.2.cmml"><mrow id="S12.F13.10.1.m1.1.2.2.2" xref="S12.F13.10.1.m1.1.2.2.1.cmml"><mo id="S12.F13.10.1.m1.1.2.2.2.1" maxsize="111%" minsize="111%" xref="S12.F13.10.1.m1.1.2.2.1.1.cmml">‖</mo><mi id="S12.F13.10.1.m1.1.1" xref="S12.F13.10.1.m1.1.1.cmml">w</mi><mo id="S12.F13.10.1.m1.1.2.2.2.2" maxsize="111%" minsize="111%" xref="S12.F13.10.1.m1.1.2.2.1.1.cmml">‖</mo></mrow><mn 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class="ltx_table" id="S12.T7"> <figcaption class="ltx_caption">Table 7: Aggregated results on Instant-NGP</figcaption> <div class="ltx_inline-block ltx_transformed_outer" id="S12.T7.24" style="width:433.6pt;height:354.3pt;vertical-align:-0.0pt;"> <table class="ltx_tabular ltx_guessed_headers ltx_align_middle" id="S12.T7.24.24"> <tbody class="ltx_tbody"> <tr class="ltx_tr" id="S12.T7.24.24.25.1"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_t" id="S12.T7.24.24.25.1.1" rowspan="2">Dataset</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_t" id="S12.T7.24.24.25.1.2" rowspan="2">Metrics</th> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" colspan="4" id="S12.T7.24.24.25.1.3">M=3</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" colspan="4" id="S12.T7.24.24.25.1.4">M=4</td> <td class="ltx_td ltx_align_center ltx_border_t" colspan="4" id="S12.T7.24.24.25.1.5">M=5</td> </tr> <tr class="ltx_tr" id="S12.T7.24.24.26.2"> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T7.24.24.26.2.1">baseline</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T7.24.24.26.2.2">Top-1</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T7.24.24.26.2.3">Top-2</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T7.24.24.26.2.4">Ens</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T7.24.24.26.2.5">baseline</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T7.24.24.26.2.6">Top-1</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T7.24.24.26.2.7">Top-2</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T7.24.24.26.2.8">Ens</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T7.24.24.26.2.9">baseline</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T7.24.24.26.2.10">Top-1</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T7.24.24.26.2.11">Top-2</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T7.24.24.26.2.12">Ens</td> </tr> <tr class="ltx_tr" id="S12.T7.1.1.1"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r ltx_border_t" id="S12.T7.1.1.1.2" rowspan="5">Blender</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r ltx_border_t" id="S12.T7.1.1.1.1">PSNR<math alttext="~{}\uparrow" class="ltx_Math" display="inline" id="S12.T7.1.1.1.1.1.m1.1"><semantics id="S12.T7.1.1.1.1.1.m1.1a"><mo id="S12.T7.1.1.1.1.1.m1.1.1" stretchy="false" xref="S12.T7.1.1.1.1.1.m1.1.1.cmml">↑</mo><annotation-xml encoding="MathML-Content" id="S12.T7.1.1.1.1.1.m1.1b"><ci id="S12.T7.1.1.1.1.1.m1.1.1.cmml" xref="S12.T7.1.1.1.1.1.m1.1.1">↑</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T7.1.1.1.1.1.m1.1c">~{}\uparrow</annotation><annotation encoding="application/x-llamapun" id="S12.T7.1.1.1.1.1.m1.1d">↑</annotation></semantics></math></th> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T7.1.1.1.3">33.19</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T7.1.1.1.4">33.31</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T7.1.1.1.5">33.61</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T7.1.1.1.6">33.53</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T7.1.1.1.7">33.25</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T7.1.1.1.8">33.43</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T7.1.1.1.9">33.72</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T7.1.1.1.10">33.82</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T7.1.1.1.11">33.35</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T7.1.1.1.12">33.56</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T7.1.1.1.13">33.83</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T7.1.1.1.14">34.01</td> </tr> <tr class="ltx_tr" id="S12.T7.2.2.2"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T7.2.2.2.1"> SSIM <math alttext="\uparrow" class="ltx_Math" display="inline" id="S12.T7.2.2.2.1.m1.1"><semantics id="S12.T7.2.2.2.1.m1.1a"><mo id="S12.T7.2.2.2.1.m1.1.1" stretchy="false" xref="S12.T7.2.2.2.1.m1.1.1.cmml">↑</mo><annotation-xml encoding="MathML-Content" id="S12.T7.2.2.2.1.m1.1b"><ci id="S12.T7.2.2.2.1.m1.1.1.cmml" xref="S12.T7.2.2.2.1.m1.1.1">↑</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T7.2.2.2.1.m1.1c">\uparrow</annotation><annotation encoding="application/x-llamapun" id="S12.T7.2.2.2.1.m1.1d">↑</annotation></semantics></math> </th> <td class="ltx_td ltx_align_center" id="S12.T7.2.2.2.2">0.961</td> <td class="ltx_td ltx_align_center" id="S12.T7.2.2.2.3">0.962</td> <td class="ltx_td ltx_align_center" id="S12.T7.2.2.2.4">0.962</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T7.2.2.2.5">0.963</td> <td class="ltx_td ltx_align_center" id="S12.T7.2.2.2.6">0.962</td> <td class="ltx_td ltx_align_center" id="S12.T7.2.2.2.7">0.963</td> <td class="ltx_td ltx_align_center" id="S12.T7.2.2.2.8">0.964</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T7.2.2.2.9">0.964</td> <td class="ltx_td ltx_align_center" id="S12.T7.2.2.2.10">0.963</td> <td class="ltx_td ltx_align_center" id="S12.T7.2.2.2.11">0.963</td> <td class="ltx_td ltx_align_center" id="S12.T7.2.2.2.12">0.965</td> <td class="ltx_td ltx_align_center" id="S12.T7.2.2.2.13">0.966</td> </tr> <tr class="ltx_tr" id="S12.T7.3.3.3"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T7.3.3.3.1"> LPIPS <math alttext="\downarrow" class="ltx_Math" display="inline" id="S12.T7.3.3.3.1.m1.1"><semantics id="S12.T7.3.3.3.1.m1.1a"><mo id="S12.T7.3.3.3.1.m1.1.1" stretchy="false" xref="S12.T7.3.3.3.1.m1.1.1.cmml">↓</mo><annotation-xml encoding="MathML-Content" id="S12.T7.3.3.3.1.m1.1b"><ci id="S12.T7.3.3.3.1.m1.1.1.cmml" xref="S12.T7.3.3.3.1.m1.1.1">↓</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T7.3.3.3.1.m1.1c">\downarrow</annotation><annotation encoding="application/x-llamapun" id="S12.T7.3.3.3.1.m1.1d">↓</annotation></semantics></math> </th> <td class="ltx_td ltx_align_center" id="S12.T7.3.3.3.2">0.027</td> <td class="ltx_td ltx_align_center" id="S12.T7.3.3.3.3">0.049</td> <td class="ltx_td ltx_align_center" id="S12.T7.3.3.3.4">0.047</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T7.3.3.3.5">0.047</td> <td class="ltx_td ltx_align_center" id="S12.T7.3.3.3.6">0.026</td> <td class="ltx_td ltx_align_center" id="S12.T7.3.3.3.7">0.046</td> <td class="ltx_td ltx_align_center" id="S12.T7.3.3.3.8">0.045</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T7.3.3.3.9">0.044</td> <td class="ltx_td ltx_align_center" id="S12.T7.3.3.3.10">0.025</td> <td class="ltx_td ltx_align_center" id="S12.T7.3.3.3.11">0.045</td> <td class="ltx_td ltx_align_center" id="S12.T7.3.3.3.12">0.043</td> <td class="ltx_td ltx_align_center" id="S12.T7.3.3.3.13">0.042</td> </tr> <tr class="ltx_tr" id="S12.T7.4.4.4"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T7.4.4.4.1"><math alttext="\|w\|_{0}\downarrow" class="ltx_Math" display="inline" id="S12.T7.4.4.4.1.m1.1"><semantics id="S12.T7.4.4.4.1.m1.1a"><mrow id="S12.T7.4.4.4.1.m1.1.2" xref="S12.T7.4.4.4.1.m1.1.2.cmml"><msub id="S12.T7.4.4.4.1.m1.1.2.2" xref="S12.T7.4.4.4.1.m1.1.2.2.cmml"><mrow id="S12.T7.4.4.4.1.m1.1.2.2.2.2" xref="S12.T7.4.4.4.1.m1.1.2.2.2.1.cmml"><mo id="S12.T7.4.4.4.1.m1.1.2.2.2.2.1" stretchy="false" xref="S12.T7.4.4.4.1.m1.1.2.2.2.1.1.cmml">‖</mo><mi id="S12.T7.4.4.4.1.m1.1.1" xref="S12.T7.4.4.4.1.m1.1.1.cmml">w</mi><mo id="S12.T7.4.4.4.1.m1.1.2.2.2.2.2" stretchy="false" xref="S12.T7.4.4.4.1.m1.1.2.2.2.1.1.cmml">‖</mo></mrow><mn id="S12.T7.4.4.4.1.m1.1.2.2.3" xref="S12.T7.4.4.4.1.m1.1.2.2.3.cmml">0</mn></msub><mo id="S12.T7.4.4.4.1.m1.1.2.1" stretchy="false" xref="S12.T7.4.4.4.1.m1.1.2.1.cmml">↓</mo><mi id="S12.T7.4.4.4.1.m1.1.2.3" xref="S12.T7.4.4.4.1.m1.1.2.3.cmml"></mi></mrow><annotation-xml encoding="MathML-Content" id="S12.T7.4.4.4.1.m1.1b"><apply id="S12.T7.4.4.4.1.m1.1.2.cmml" xref="S12.T7.4.4.4.1.m1.1.2"><ci id="S12.T7.4.4.4.1.m1.1.2.1.cmml" xref="S12.T7.4.4.4.1.m1.1.2.1">↓</ci><apply id="S12.T7.4.4.4.1.m1.1.2.2.cmml" xref="S12.T7.4.4.4.1.m1.1.2.2"><csymbol cd="ambiguous" id="S12.T7.4.4.4.1.m1.1.2.2.1.cmml" xref="S12.T7.4.4.4.1.m1.1.2.2">subscript</csymbol><apply id="S12.T7.4.4.4.1.m1.1.2.2.2.1.cmml" xref="S12.T7.4.4.4.1.m1.1.2.2.2.2"><csymbol cd="latexml" id="S12.T7.4.4.4.1.m1.1.2.2.2.1.1.cmml" xref="S12.T7.4.4.4.1.m1.1.2.2.2.2.1">norm</csymbol><ci id="S12.T7.4.4.4.1.m1.1.1.cmml" xref="S12.T7.4.4.4.1.m1.1.1">𝑤</ci></apply><cn id="S12.T7.4.4.4.1.m1.1.2.2.3.cmml" type="integer" xref="S12.T7.4.4.4.1.m1.1.2.2.3">0</cn></apply><csymbol cd="latexml" id="S12.T7.4.4.4.1.m1.1.2.3.cmml" xref="S12.T7.4.4.4.1.m1.1.2.3">absent</csymbol></apply></annotation-xml><annotation encoding="application/x-tex" id="S12.T7.4.4.4.1.m1.1c">\|w\|_{0}\downarrow</annotation><annotation encoding="application/x-llamapun" id="S12.T7.4.4.4.1.m1.1d">∥ italic_w ∥ start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT ↓</annotation></semantics></math></th> <td class="ltx_td ltx_align_center" id="S12.T7.4.4.4.2">20</td> <td class="ltx_td ltx_align_center" id="S12.T7.4.4.4.3">13</td> <td class="ltx_td ltx_align_center" id="S12.T7.4.4.4.4">15</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T7.4.4.4.5">18</td> <td class="ltx_td ltx_align_center" id="S12.T7.4.4.4.6">26</td> <td class="ltx_td ltx_align_center" id="S12.T7.4.4.4.7">14</td> <td class="ltx_td ltx_align_center" id="S12.T7.4.4.4.8">19</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T7.4.4.4.9">22</td> <td class="ltx_td ltx_align_center" id="S12.T7.4.4.4.10">31</td> <td class="ltx_td ltx_align_center" id="S12.T7.4.4.4.11">17</td> <td class="ltx_td ltx_align_center" id="S12.T7.4.4.4.12">21</td> <td class="ltx_td ltx_align_center" id="S12.T7.4.4.4.13">26</td> </tr> <tr class="ltx_tr" id="S12.T7.5.5.5"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T7.5.5.5.1"> GFLOPs <math alttext="\downarrow" class="ltx_Math" display="inline" id="S12.T7.5.5.5.1.m1.1"><semantics id="S12.T7.5.5.5.1.m1.1a"><mo id="S12.T7.5.5.5.1.m1.1.1" stretchy="false" xref="S12.T7.5.5.5.1.m1.1.1.cmml">↓</mo><annotation-xml encoding="MathML-Content" id="S12.T7.5.5.5.1.m1.1b"><ci id="S12.T7.5.5.5.1.m1.1.1.cmml" xref="S12.T7.5.5.5.1.m1.1.1">↓</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T7.5.5.5.1.m1.1c">\downarrow</annotation><annotation encoding="application/x-llamapun" id="S12.T7.5.5.5.1.m1.1d">↓</annotation></semantics></math> </th> <td class="ltx_td ltx_align_center" id="S12.T7.5.5.5.2">42</td> <td class="ltx_td ltx_align_center" id="S12.T7.5.5.5.3">66</td> <td class="ltx_td ltx_align_center" id="S12.T7.5.5.5.4">111</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T7.5.5.5.5">122</td> <td class="ltx_td ltx_align_center" id="S12.T7.5.5.5.6">44</td> <td class="ltx_td ltx_align_center" id="S12.T7.5.5.5.7">69</td> <td class="ltx_td ltx_align_center" id="S12.T7.5.5.5.8">117</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T7.5.5.5.9">165</td> <td class="ltx_td ltx_align_center" id="S12.T7.5.5.5.10">46</td> <td class="ltx_td ltx_align_center" id="S12.T7.5.5.5.11">71</td> <td class="ltx_td ltx_align_center" id="S12.T7.5.5.5.12">123</td> <td class="ltx_td ltx_align_center" id="S12.T7.5.5.5.13">208</td> </tr> <tr class="ltx_tr" id="S12.T7.6.6.6"> <th class="ltx_td ltx_th ltx_th_row ltx_border_r" id="S12.T7.6.6.6.2"></th> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T7.6.6.6.1"> time <math alttext="\downarrow" class="ltx_Math" display="inline" id="S12.T7.6.6.6.1.m1.1"><semantics id="S12.T7.6.6.6.1.m1.1a"><mo id="S12.T7.6.6.6.1.m1.1.1" stretchy="false" xref="S12.T7.6.6.6.1.m1.1.1.cmml">↓</mo><annotation-xml encoding="MathML-Content" id="S12.T7.6.6.6.1.m1.1b"><ci id="S12.T7.6.6.6.1.m1.1.1.cmml" xref="S12.T7.6.6.6.1.m1.1.1">↓</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T7.6.6.6.1.m1.1c">\downarrow</annotation><annotation encoding="application/x-llamapun" id="S12.T7.6.6.6.1.m1.1d">↓</annotation></semantics></math> </th> <td class="ltx_td ltx_align_center" id="S12.T7.6.6.6.3">7’</td> <td class="ltx_td ltx_align_center" id="S12.T7.6.6.6.4">23’</td> <td class="ltx_td ltx_align_center" id="S12.T7.6.6.6.5">26’</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T7.6.6.6.6">27’</td> <td class="ltx_td ltx_align_center" id="S12.T7.6.6.6.7">9’</td> <td class="ltx_td ltx_align_center" id="S12.T7.6.6.6.8">27’</td> <td class="ltx_td ltx_align_center" id="S12.T7.6.6.6.9">30’</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T7.6.6.6.10">30’</td> <td class="ltx_td ltx_align_center" id="S12.T7.6.6.6.11">11’</td> <td class="ltx_td ltx_align_center" id="S12.T7.6.6.6.12">32’</td> <td class="ltx_td ltx_align_center" id="S12.T7.6.6.6.13">34’</td> <td class="ltx_td ltx_align_center" id="S12.T7.6.6.6.14">37’</td> </tr> <tr class="ltx_tr" id="S12.T7.7.7.7"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r ltx_border_t" id="S12.T7.7.7.7.2" rowspan="5">NSVF</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r ltx_border_t" id="S12.T7.7.7.7.1">PSNR<math alttext="~{}\uparrow" class="ltx_Math" display="inline" id="S12.T7.7.7.7.1.1.m1.1"><semantics id="S12.T7.7.7.7.1.1.m1.1a"><mo id="S12.T7.7.7.7.1.1.m1.1.1" stretchy="false" xref="S12.T7.7.7.7.1.1.m1.1.1.cmml">↑</mo><annotation-xml encoding="MathML-Content" id="S12.T7.7.7.7.1.1.m1.1b"><ci id="S12.T7.7.7.7.1.1.m1.1.1.cmml" xref="S12.T7.7.7.7.1.1.m1.1.1">↑</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T7.7.7.7.1.1.m1.1c">~{}\uparrow</annotation><annotation encoding="application/x-llamapun" id="S12.T7.7.7.7.1.1.m1.1d">↑</annotation></semantics></math></th> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T7.7.7.7.3">36.06</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T7.7.7.7.4">36.33</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T7.7.7.7.5">36.61</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T7.7.7.7.6">36.58</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T7.7.7.7.7">36.27</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T7.7.7.7.8">36.44</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T7.7.7.7.9">36.83</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T7.7.7.7.10">36.99</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T7.7.7.7.11">36.44</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T7.7.7.7.12">36.59</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T7.7.7.7.13">37.04</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T7.7.7.7.14">37.31</td> </tr> <tr class="ltx_tr" id="S12.T7.8.8.8"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T7.8.8.8.1"> SSIM <math alttext="\uparrow" class="ltx_Math" display="inline" id="S12.T7.8.8.8.1.m1.1"><semantics id="S12.T7.8.8.8.1.m1.1a"><mo id="S12.T7.8.8.8.1.m1.1.1" stretchy="false" xref="S12.T7.8.8.8.1.m1.1.1.cmml">↑</mo><annotation-xml encoding="MathML-Content" id="S12.T7.8.8.8.1.m1.1b"><ci id="S12.T7.8.8.8.1.m1.1.1.cmml" xref="S12.T7.8.8.8.1.m1.1.1">↑</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T7.8.8.8.1.m1.1c">\uparrow</annotation><annotation encoding="application/x-llamapun" id="S12.T7.8.8.8.1.m1.1d">↑</annotation></semantics></math> </th> <td class="ltx_td ltx_align_center" id="S12.T7.8.8.8.2">0.981</td> <td class="ltx_td ltx_align_center" id="S12.T7.8.8.8.3">0.981</td> <td class="ltx_td ltx_align_center" id="S12.T7.8.8.8.4">0.982</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T7.8.8.8.5">0.982</td> <td class="ltx_td ltx_align_center" id="S12.T7.8.8.8.6">0.982</td> <td class="ltx_td ltx_align_center" id="S12.T7.8.8.8.7">0.983</td> <td class="ltx_td ltx_align_center" id="S12.T7.8.8.8.8">0.983</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T7.8.8.8.9">0.984</td> <td class="ltx_td ltx_align_center" id="S12.T7.8.8.8.10">0.983</td> <td class="ltx_td ltx_align_center" id="S12.T7.8.8.8.11">0.983</td> <td class="ltx_td ltx_align_center" id="S12.T7.8.8.8.12">0.984</td> <td class="ltx_td ltx_align_center" id="S12.T7.8.8.8.13">0.985</td> </tr> <tr class="ltx_tr" id="S12.T7.9.9.9"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T7.9.9.9.1"> LPIPS <math alttext="\downarrow" class="ltx_Math" display="inline" id="S12.T7.9.9.9.1.m1.1"><semantics id="S12.T7.9.9.9.1.m1.1a"><mo id="S12.T7.9.9.9.1.m1.1.1" stretchy="false" xref="S12.T7.9.9.9.1.m1.1.1.cmml">↓</mo><annotation-xml encoding="MathML-Content" id="S12.T7.9.9.9.1.m1.1b"><ci id="S12.T7.9.9.9.1.m1.1.1.cmml" xref="S12.T7.9.9.9.1.m1.1.1">↓</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T7.9.9.9.1.m1.1c">\downarrow</annotation><annotation encoding="application/x-llamapun" id="S12.T7.9.9.9.1.m1.1d">↓</annotation></semantics></math> </th> <td class="ltx_td ltx_align_center" id="S12.T7.9.9.9.2">0.012</td> <td class="ltx_td ltx_align_center" id="S12.T7.9.9.9.3">0.024</td> <td class="ltx_td ltx_align_center" id="S12.T7.9.9.9.4">0.024</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T7.9.9.9.5">0.023</td> <td class="ltx_td ltx_align_center" id="S12.T7.9.9.9.6">0.011</td> <td class="ltx_td ltx_align_center" id="S12.T7.9.9.9.7">0.023</td> <td class="ltx_td ltx_align_center" id="S12.T7.9.9.9.8">0.023</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T7.9.9.9.9">0.022</td> <td class="ltx_td ltx_align_center" id="S12.T7.9.9.9.10">0.010</td> <td class="ltx_td ltx_align_center" id="S12.T7.9.9.9.11">0.023</td> <td class="ltx_td ltx_align_center" id="S12.T7.9.9.9.12">0.022</td> <td class="ltx_td ltx_align_center" id="S12.T7.9.9.9.13">0.020</td> </tr> <tr class="ltx_tr" id="S12.T7.10.10.10"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T7.10.10.10.1"><math alttext="\|w\|_{0}\downarrow" class="ltx_Math" display="inline" id="S12.T7.10.10.10.1.m1.1"><semantics id="S12.T7.10.10.10.1.m1.1a"><mrow id="S12.T7.10.10.10.1.m1.1.2" xref="S12.T7.10.10.10.1.m1.1.2.cmml"><msub id="S12.T7.10.10.10.1.m1.1.2.2" xref="S12.T7.10.10.10.1.m1.1.2.2.cmml"><mrow id="S12.T7.10.10.10.1.m1.1.2.2.2.2" xref="S12.T7.10.10.10.1.m1.1.2.2.2.1.cmml"><mo id="S12.T7.10.10.10.1.m1.1.2.2.2.2.1" stretchy="false" xref="S12.T7.10.10.10.1.m1.1.2.2.2.1.1.cmml">‖</mo><mi id="S12.T7.10.10.10.1.m1.1.1" xref="S12.T7.10.10.10.1.m1.1.1.cmml">w</mi><mo id="S12.T7.10.10.10.1.m1.1.2.2.2.2.2" stretchy="false" xref="S12.T7.10.10.10.1.m1.1.2.2.2.1.1.cmml">‖</mo></mrow><mn id="S12.T7.10.10.10.1.m1.1.2.2.3" xref="S12.T7.10.10.10.1.m1.1.2.2.3.cmml">0</mn></msub><mo id="S12.T7.10.10.10.1.m1.1.2.1" stretchy="false" xref="S12.T7.10.10.10.1.m1.1.2.1.cmml">↓</mo><mi id="S12.T7.10.10.10.1.m1.1.2.3" xref="S12.T7.10.10.10.1.m1.1.2.3.cmml"></mi></mrow><annotation-xml encoding="MathML-Content" id="S12.T7.10.10.10.1.m1.1b"><apply id="S12.T7.10.10.10.1.m1.1.2.cmml" xref="S12.T7.10.10.10.1.m1.1.2"><ci id="S12.T7.10.10.10.1.m1.1.2.1.cmml" xref="S12.T7.10.10.10.1.m1.1.2.1">↓</ci><apply id="S12.T7.10.10.10.1.m1.1.2.2.cmml" xref="S12.T7.10.10.10.1.m1.1.2.2"><csymbol cd="ambiguous" id="S12.T7.10.10.10.1.m1.1.2.2.1.cmml" xref="S12.T7.10.10.10.1.m1.1.2.2">subscript</csymbol><apply id="S12.T7.10.10.10.1.m1.1.2.2.2.1.cmml" xref="S12.T7.10.10.10.1.m1.1.2.2.2.2"><csymbol cd="latexml" id="S12.T7.10.10.10.1.m1.1.2.2.2.1.1.cmml" xref="S12.T7.10.10.10.1.m1.1.2.2.2.2.1">norm</csymbol><ci id="S12.T7.10.10.10.1.m1.1.1.cmml" xref="S12.T7.10.10.10.1.m1.1.1">𝑤</ci></apply><cn id="S12.T7.10.10.10.1.m1.1.2.2.3.cmml" type="integer" xref="S12.T7.10.10.10.1.m1.1.2.2.3">0</cn></apply><csymbol cd="latexml" id="S12.T7.10.10.10.1.m1.1.2.3.cmml" xref="S12.T7.10.10.10.1.m1.1.2.3">absent</csymbol></apply></annotation-xml><annotation encoding="application/x-tex" id="S12.T7.10.10.10.1.m1.1c">\|w\|_{0}\downarrow</annotation><annotation encoding="application/x-llamapun" id="S12.T7.10.10.10.1.m1.1d">∥ italic_w ∥ start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT ↓</annotation></semantics></math></th> <td class="ltx_td ltx_align_center" id="S12.T7.10.10.10.2">20</td> <td class="ltx_td ltx_align_center" id="S12.T7.10.10.10.3">15</td> <td class="ltx_td ltx_align_center" id="S12.T7.10.10.10.4">16</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T7.10.10.10.5">18</td> <td class="ltx_td ltx_align_center" id="S12.T7.10.10.10.6">26</td> <td class="ltx_td ltx_align_center" id="S12.T7.10.10.10.7">16</td> <td class="ltx_td ltx_align_center" id="S12.T7.10.10.10.8">19</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T7.10.10.10.9">22</td> <td class="ltx_td ltx_align_center" id="S12.T7.10.10.10.10">30</td> <td class="ltx_td ltx_align_center" id="S12.T7.10.10.10.11">17</td> <td class="ltx_td ltx_align_center" id="S12.T7.10.10.10.12">20</td> <td class="ltx_td ltx_align_center" id="S12.T7.10.10.10.13">27</td> </tr> <tr class="ltx_tr" id="S12.T7.11.11.11"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T7.11.11.11.1"> GFLOPs <math alttext="\downarrow" class="ltx_Math" display="inline" id="S12.T7.11.11.11.1.m1.1"><semantics id="S12.T7.11.11.11.1.m1.1a"><mo id="S12.T7.11.11.11.1.m1.1.1" stretchy="false" xref="S12.T7.11.11.11.1.m1.1.1.cmml">↓</mo><annotation-xml encoding="MathML-Content" id="S12.T7.11.11.11.1.m1.1b"><ci id="S12.T7.11.11.11.1.m1.1.1.cmml" xref="S12.T7.11.11.11.1.m1.1.1">↓</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T7.11.11.11.1.m1.1c">\downarrow</annotation><annotation encoding="application/x-llamapun" id="S12.T7.11.11.11.1.m1.1d">↓</annotation></semantics></math> </th> <td class="ltx_td ltx_align_center" id="S12.T7.11.11.11.2">20</td> <td class="ltx_td ltx_align_center" id="S12.T7.11.11.11.3">46</td> <td class="ltx_td ltx_align_center" id="S12.T7.11.11.11.4">63</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T7.11.11.11.5">71</td> <td class="ltx_td ltx_align_center" id="S12.T7.11.11.11.6">27</td> <td class="ltx_td ltx_align_center" id="S12.T7.11.11.11.7">48</td> <td class="ltx_td ltx_align_center" id="S12.T7.11.11.11.8">69</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T7.11.11.11.9">96</td> <td class="ltx_td ltx_align_center" id="S12.T7.11.11.11.10">28</td> <td class="ltx_td ltx_align_center" id="S12.T7.11.11.11.11">52</td> <td class="ltx_td ltx_align_center" id="S12.T7.11.11.11.12">72</td> <td class="ltx_td ltx_align_center" id="S12.T7.11.11.11.13">123</td> </tr> <tr class="ltx_tr" id="S12.T7.12.12.12"> <th class="ltx_td ltx_th ltx_th_row ltx_border_r" id="S12.T7.12.12.12.2"></th> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T7.12.12.12.1"> time <math alttext="\downarrow" class="ltx_Math" display="inline" id="S12.T7.12.12.12.1.m1.1"><semantics id="S12.T7.12.12.12.1.m1.1a"><mo id="S12.T7.12.12.12.1.m1.1.1" stretchy="false" xref="S12.T7.12.12.12.1.m1.1.1.cmml">↓</mo><annotation-xml encoding="MathML-Content" id="S12.T7.12.12.12.1.m1.1b"><ci id="S12.T7.12.12.12.1.m1.1.1.cmml" xref="S12.T7.12.12.12.1.m1.1.1">↓</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T7.12.12.12.1.m1.1c">\downarrow</annotation><annotation encoding="application/x-llamapun" id="S12.T7.12.12.12.1.m1.1d">↓</annotation></semantics></math> </th> <td class="ltx_td ltx_align_center" id="S12.T7.12.12.12.3">7’</td> <td class="ltx_td ltx_align_center" id="S12.T7.12.12.12.4">24’</td> <td class="ltx_td ltx_align_center" id="S12.T7.12.12.12.5">25’</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T7.12.12.12.6">27’</td> <td class="ltx_td ltx_align_center" id="S12.T7.12.12.12.7">8’</td> <td class="ltx_td ltx_align_center" id="S12.T7.12.12.12.8">28’</td> <td class="ltx_td ltx_align_center" id="S12.T7.12.12.12.9">29’</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T7.12.12.12.10">32’</td> <td class="ltx_td ltx_align_center" id="S12.T7.12.12.12.11">10’</td> <td class="ltx_td ltx_align_center" id="S12.T7.12.12.12.12">31’</td> <td class="ltx_td ltx_align_center" id="S12.T7.12.12.12.13">33’</td> <td class="ltx_td ltx_align_center" id="S12.T7.12.12.12.14">34’</td> </tr> <tr class="ltx_tr" id="S12.T7.13.13.13"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r ltx_border_t" id="S12.T7.13.13.13.2" rowspan="5">TaT</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r ltx_border_t" id="S12.T7.13.13.13.1">PSNR<math alttext="~{}\uparrow" class="ltx_Math" display="inline" id="S12.T7.13.13.13.1.1.m1.1"><semantics id="S12.T7.13.13.13.1.1.m1.1a"><mo id="S12.T7.13.13.13.1.1.m1.1.1" stretchy="false" xref="S12.T7.13.13.13.1.1.m1.1.1.cmml">↑</mo><annotation-xml encoding="MathML-Content" id="S12.T7.13.13.13.1.1.m1.1b"><ci id="S12.T7.13.13.13.1.1.m1.1.1.cmml" xref="S12.T7.13.13.13.1.1.m1.1.1">↑</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T7.13.13.13.1.1.m1.1c">~{}\uparrow</annotation><annotation encoding="application/x-llamapun" id="S12.T7.13.13.13.1.1.m1.1d">↑</annotation></semantics></math></th> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T7.13.13.13.3">28.90</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T7.13.13.13.4">28.93</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T7.13.13.13.5">29.04</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T7.13.13.13.6">29.04</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T7.13.13.13.7">29.00</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T7.13.13.13.8">29.02</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T7.13.13.13.9">29.18</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T7.13.13.13.10">29.21</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T7.13.13.13.11">29.07</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T7.13.13.13.12">29.16</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T7.13.13.13.13">29.32</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T7.13.13.13.14">29.38</td> </tr> <tr class="ltx_tr" id="S12.T7.14.14.14"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T7.14.14.14.1"> SSIM <math alttext="\uparrow" class="ltx_Math" display="inline" id="S12.T7.14.14.14.1.m1.1"><semantics id="S12.T7.14.14.14.1.m1.1a"><mo id="S12.T7.14.14.14.1.m1.1.1" stretchy="false" xref="S12.T7.14.14.14.1.m1.1.1.cmml">↑</mo><annotation-xml encoding="MathML-Content" id="S12.T7.14.14.14.1.m1.1b"><ci id="S12.T7.14.14.14.1.m1.1.1.cmml" xref="S12.T7.14.14.14.1.m1.1.1">↑</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T7.14.14.14.1.m1.1c">\uparrow</annotation><annotation encoding="application/x-llamapun" id="S12.T7.14.14.14.1.m1.1d">↑</annotation></semantics></math> </th> <td class="ltx_td ltx_align_center" id="S12.T7.14.14.14.2">0.919</td> <td class="ltx_td ltx_align_center" id="S12.T7.14.14.14.3">0.920</td> <td class="ltx_td ltx_align_center" id="S12.T7.14.14.14.4">0.918</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T7.14.14.14.5">0.922</td> <td class="ltx_td ltx_align_center" id="S12.T7.14.14.14.6">0.922</td> <td class="ltx_td ltx_align_center" id="S12.T7.14.14.14.7">0.924</td> <td class="ltx_td ltx_align_center" id="S12.T7.14.14.14.8">0.928</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T7.14.14.14.9">0.929</td> <td class="ltx_td ltx_align_center" id="S12.T7.14.14.14.10">0.924</td> <td class="ltx_td ltx_align_center" id="S12.T7.14.14.14.11">0.927</td> <td class="ltx_td ltx_align_center" id="S12.T7.14.14.14.12">0.929</td> <td class="ltx_td ltx_align_center" id="S12.T7.14.14.14.13">0.930</td> </tr> <tr class="ltx_tr" id="S12.T7.15.15.15"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T7.15.15.15.1"> LPIPS <math alttext="\downarrow" class="ltx_Math" display="inline" id="S12.T7.15.15.15.1.m1.1"><semantics id="S12.T7.15.15.15.1.m1.1a"><mo id="S12.T7.15.15.15.1.m1.1.1" stretchy="false" xref="S12.T7.15.15.15.1.m1.1.1.cmml">↓</mo><annotation-xml encoding="MathML-Content" id="S12.T7.15.15.15.1.m1.1b"><ci id="S12.T7.15.15.15.1.m1.1.1.cmml" xref="S12.T7.15.15.15.1.m1.1.1">↓</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T7.15.15.15.1.m1.1c">\downarrow</annotation><annotation encoding="application/x-llamapun" id="S12.T7.15.15.15.1.m1.1d">↓</annotation></semantics></math> </th> <td class="ltx_td ltx_align_center" id="S12.T7.15.15.15.2">0.107</td> <td class="ltx_td ltx_align_center" id="S12.T7.15.15.15.3">0.131</td> <td class="ltx_td ltx_align_center" id="S12.T7.15.15.15.4">0.130</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T7.15.15.15.5">0.129</td> <td class="ltx_td ltx_align_center" id="S12.T7.15.15.15.6">0.105</td> <td class="ltx_td ltx_align_center" id="S12.T7.15.15.15.7">0.127</td> <td class="ltx_td ltx_align_center" id="S12.T7.15.15.15.8">0.125</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T7.15.15.15.9">0.124</td> <td class="ltx_td ltx_align_center" id="S12.T7.15.15.15.10">0.101</td> <td class="ltx_td ltx_align_center" id="S12.T7.15.15.15.11">0.125</td> <td class="ltx_td ltx_align_center" id="S12.T7.15.15.15.12">0.124</td> <td class="ltx_td ltx_align_center" id="S12.T7.15.15.15.13">0.121</td> </tr> <tr class="ltx_tr" id="S12.T7.16.16.16"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T7.16.16.16.1"><math alttext="\|w\|_{0}\downarrow" class="ltx_Math" display="inline" id="S12.T7.16.16.16.1.m1.1"><semantics id="S12.T7.16.16.16.1.m1.1a"><mrow id="S12.T7.16.16.16.1.m1.1.2" xref="S12.T7.16.16.16.1.m1.1.2.cmml"><msub id="S12.T7.16.16.16.1.m1.1.2.2" xref="S12.T7.16.16.16.1.m1.1.2.2.cmml"><mrow id="S12.T7.16.16.16.1.m1.1.2.2.2.2" xref="S12.T7.16.16.16.1.m1.1.2.2.2.1.cmml"><mo id="S12.T7.16.16.16.1.m1.1.2.2.2.2.1" stretchy="false" xref="S12.T7.16.16.16.1.m1.1.2.2.2.1.1.cmml">‖</mo><mi id="S12.T7.16.16.16.1.m1.1.1" xref="S12.T7.16.16.16.1.m1.1.1.cmml">w</mi><mo id="S12.T7.16.16.16.1.m1.1.2.2.2.2.2" stretchy="false" xref="S12.T7.16.16.16.1.m1.1.2.2.2.1.1.cmml">‖</mo></mrow><mn id="S12.T7.16.16.16.1.m1.1.2.2.3" xref="S12.T7.16.16.16.1.m1.1.2.2.3.cmml">0</mn></msub><mo id="S12.T7.16.16.16.1.m1.1.2.1" stretchy="false" xref="S12.T7.16.16.16.1.m1.1.2.1.cmml">↓</mo><mi id="S12.T7.16.16.16.1.m1.1.2.3" xref="S12.T7.16.16.16.1.m1.1.2.3.cmml"></mi></mrow><annotation-xml encoding="MathML-Content" id="S12.T7.16.16.16.1.m1.1b"><apply id="S12.T7.16.16.16.1.m1.1.2.cmml" xref="S12.T7.16.16.16.1.m1.1.2"><ci id="S12.T7.16.16.16.1.m1.1.2.1.cmml" xref="S12.T7.16.16.16.1.m1.1.2.1">↓</ci><apply id="S12.T7.16.16.16.1.m1.1.2.2.cmml" xref="S12.T7.16.16.16.1.m1.1.2.2"><csymbol cd="ambiguous" id="S12.T7.16.16.16.1.m1.1.2.2.1.cmml" xref="S12.T7.16.16.16.1.m1.1.2.2">subscript</csymbol><apply id="S12.T7.16.16.16.1.m1.1.2.2.2.1.cmml" xref="S12.T7.16.16.16.1.m1.1.2.2.2.2"><csymbol cd="latexml" id="S12.T7.16.16.16.1.m1.1.2.2.2.1.1.cmml" xref="S12.T7.16.16.16.1.m1.1.2.2.2.2.1">norm</csymbol><ci id="S12.T7.16.16.16.1.m1.1.1.cmml" xref="S12.T7.16.16.16.1.m1.1.1">𝑤</ci></apply><cn id="S12.T7.16.16.16.1.m1.1.2.2.3.cmml" type="integer" xref="S12.T7.16.16.16.1.m1.1.2.2.3">0</cn></apply><csymbol cd="latexml" id="S12.T7.16.16.16.1.m1.1.2.3.cmml" xref="S12.T7.16.16.16.1.m1.1.2.3">absent</csymbol></apply></annotation-xml><annotation encoding="application/x-tex" id="S12.T7.16.16.16.1.m1.1c">\|w\|_{0}\downarrow</annotation><annotation encoding="application/x-llamapun" id="S12.T7.16.16.16.1.m1.1d">∥ italic_w ∥ start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT ↓</annotation></semantics></math></th> <td class="ltx_td ltx_align_center" id="S12.T7.16.16.16.2">45</td> <td class="ltx_td ltx_align_center" id="S12.T7.16.16.16.3">27</td> <td class="ltx_td ltx_align_center" id="S12.T7.16.16.16.4">35</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T7.16.16.16.5">40</td> <td class="ltx_td ltx_align_center" id="S12.T7.16.16.16.6">65</td> <td class="ltx_td ltx_align_center" id="S12.T7.16.16.16.7">31</td> <td class="ltx_td ltx_align_center" id="S12.T7.16.16.16.8">39</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T7.16.16.16.9">55</td> <td class="ltx_td ltx_align_center" id="S12.T7.16.16.16.10">88</td> <td class="ltx_td ltx_align_center" id="S12.T7.16.16.16.11">37</td> <td class="ltx_td ltx_align_center" id="S12.T7.16.16.16.12">47</td> <td class="ltx_td ltx_align_center" id="S12.T7.16.16.16.13">70</td> </tr> <tr class="ltx_tr" id="S12.T7.17.17.17"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T7.17.17.17.1"> GFLOPs <math alttext="\downarrow" class="ltx_Math" display="inline" id="S12.T7.17.17.17.1.m1.1"><semantics id="S12.T7.17.17.17.1.m1.1a"><mo id="S12.T7.17.17.17.1.m1.1.1" stretchy="false" xref="S12.T7.17.17.17.1.m1.1.1.cmml">↓</mo><annotation-xml encoding="MathML-Content" id="S12.T7.17.17.17.1.m1.1b"><ci id="S12.T7.17.17.17.1.m1.1.1.cmml" xref="S12.T7.17.17.17.1.m1.1.1">↓</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T7.17.17.17.1.m1.1c">\downarrow</annotation><annotation encoding="application/x-llamapun" id="S12.T7.17.17.17.1.m1.1d">↓</annotation></semantics></math> </th> <td class="ltx_td ltx_align_center" id="S12.T7.17.17.17.2">210</td> <td class="ltx_td ltx_align_center" id="S12.T7.17.17.17.3">220</td> <td class="ltx_td ltx_align_center" id="S12.T7.17.17.17.4">498</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T7.17.17.17.5">590</td> <td class="ltx_td ltx_align_center" id="S12.T7.17.17.17.6">215</td> <td class="ltx_td ltx_align_center" id="S12.T7.17.17.17.7">231</td> <td class="ltx_td ltx_align_center" id="S12.T7.17.17.17.8">522</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T7.17.17.17.9">785</td> <td class="ltx_td ltx_align_center" id="S12.T7.17.17.17.10">211</td> <td class="ltx_td ltx_align_center" id="S12.T7.17.17.17.11">229</td> <td class="ltx_td ltx_align_center" id="S12.T7.17.17.17.12">531</td> <td class="ltx_td ltx_align_center" id="S12.T7.17.17.17.13">1003</td> </tr> <tr class="ltx_tr" id="S12.T7.18.18.18"> <th class="ltx_td ltx_th ltx_th_row ltx_border_r" id="S12.T7.18.18.18.2"></th> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T7.18.18.18.1"> time <math alttext="\downarrow" class="ltx_Math" display="inline" id="S12.T7.18.18.18.1.m1.1"><semantics id="S12.T7.18.18.18.1.m1.1a"><mo id="S12.T7.18.18.18.1.m1.1.1" stretchy="false" xref="S12.T7.18.18.18.1.m1.1.1.cmml">↓</mo><annotation-xml encoding="MathML-Content" id="S12.T7.18.18.18.1.m1.1b"><ci id="S12.T7.18.18.18.1.m1.1.1.cmml" xref="S12.T7.18.18.18.1.m1.1.1">↓</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T7.18.18.18.1.m1.1c">\downarrow</annotation><annotation encoding="application/x-llamapun" id="S12.T7.18.18.18.1.m1.1d">↓</annotation></semantics></math> </th> <td class="ltx_td ltx_align_center" id="S12.T7.18.18.18.3">9’</td> <td class="ltx_td ltx_align_center" id="S12.T7.18.18.18.4">30’</td> <td class="ltx_td ltx_align_center" id="S12.T7.18.18.18.5">30’</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T7.18.18.18.6">32’</td> <td class="ltx_td ltx_align_center" id="S12.T7.18.18.18.7">11’</td> <td class="ltx_td ltx_align_center" id="S12.T7.18.18.18.8">33’</td> <td class="ltx_td ltx_align_center" id="S12.T7.18.18.18.9">34’</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T7.18.18.18.10">34’</td> <td class="ltx_td ltx_align_center" id="S12.T7.18.18.18.11">14’</td> <td class="ltx_td ltx_align_center" id="S12.T7.18.18.18.12">37’</td> <td class="ltx_td ltx_align_center" id="S12.T7.18.18.18.13">39’</td> <td class="ltx_td ltx_align_center" id="S12.T7.18.18.18.14">45’</td> </tr> <tr class="ltx_tr" id="S12.T7.19.19.19"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r ltx_border_t" id="S12.T7.19.19.19.2" rowspan="5">LLFF</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r ltx_border_t" id="S12.T7.19.19.19.1">PSNR<math alttext="~{}\uparrow" class="ltx_Math" display="inline" id="S12.T7.19.19.19.1.1.m1.1"><semantics id="S12.T7.19.19.19.1.1.m1.1a"><mo id="S12.T7.19.19.19.1.1.m1.1.1" stretchy="false" xref="S12.T7.19.19.19.1.1.m1.1.1.cmml">↑</mo><annotation-xml encoding="MathML-Content" id="S12.T7.19.19.19.1.1.m1.1b"><ci id="S12.T7.19.19.19.1.1.m1.1.1.cmml" xref="S12.T7.19.19.19.1.1.m1.1.1">↑</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T7.19.19.19.1.1.m1.1c">~{}\uparrow</annotation><annotation encoding="application/x-llamapun" id="S12.T7.19.19.19.1.1.m1.1d">↑</annotation></semantics></math></th> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T7.19.19.19.3">24.82</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T7.19.19.19.4">24.78</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T7.19.19.19.5">25.06</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T7.19.19.19.6">25.06</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T7.19.19.19.7">24.93</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T7.19.19.19.8">24.85</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T7.19.19.19.9">25.11</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T7.19.19.19.10">25.13</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T7.19.19.19.11">24.97</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T7.19.19.19.12">24.90</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T7.19.19.19.13">25.17</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T7.19.19.19.14">25.19</td> </tr> <tr class="ltx_tr" id="S12.T7.20.20.20"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T7.20.20.20.1"> SSIM <math alttext="\uparrow" class="ltx_Math" display="inline" id="S12.T7.20.20.20.1.m1.1"><semantics id="S12.T7.20.20.20.1.m1.1a"><mo id="S12.T7.20.20.20.1.m1.1.1" stretchy="false" xref="S12.T7.20.20.20.1.m1.1.1.cmml">↑</mo><annotation-xml encoding="MathML-Content" id="S12.T7.20.20.20.1.m1.1b"><ci id="S12.T7.20.20.20.1.m1.1.1.cmml" xref="S12.T7.20.20.20.1.m1.1.1">↑</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T7.20.20.20.1.m1.1c">\uparrow</annotation><annotation encoding="application/x-llamapun" id="S12.T7.20.20.20.1.m1.1d">↑</annotation></semantics></math> </th> <td class="ltx_td ltx_align_center" id="S12.T7.20.20.20.2">0.764</td> <td class="ltx_td ltx_align_center" id="S12.T7.20.20.20.3">0.762</td> <td class="ltx_td ltx_align_center" id="S12.T7.20.20.20.4">0.772</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T7.20.20.20.5">0.772</td> <td class="ltx_td ltx_align_center" id="S12.T7.20.20.20.6">0.763</td> <td class="ltx_td ltx_align_center" id="S12.T7.20.20.20.7">0.765</td> <td class="ltx_td ltx_align_center" id="S12.T7.20.20.20.8">0.777</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T7.20.20.20.9">0.776</td> <td class="ltx_td ltx_align_center" id="S12.T7.20.20.20.10">0.764</td> <td class="ltx_td ltx_align_center" id="S12.T7.20.20.20.11">0.763</td> <td class="ltx_td ltx_align_center" id="S12.T7.20.20.20.12">0.777</td> <td class="ltx_td ltx_align_center" id="S12.T7.20.20.20.13">0.778</td> </tr> <tr class="ltx_tr" id="S12.T7.21.21.21"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T7.21.21.21.1"> LPIPS <math alttext="\downarrow" class="ltx_Math" display="inline" id="S12.T7.21.21.21.1.m1.1"><semantics id="S12.T7.21.21.21.1.m1.1a"><mo id="S12.T7.21.21.21.1.m1.1.1" stretchy="false" xref="S12.T7.21.21.21.1.m1.1.1.cmml">↓</mo><annotation-xml encoding="MathML-Content" id="S12.T7.21.21.21.1.m1.1b"><ci id="S12.T7.21.21.21.1.m1.1.1.cmml" xref="S12.T7.21.21.21.1.m1.1.1">↓</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T7.21.21.21.1.m1.1c">\downarrow</annotation><annotation encoding="application/x-llamapun" id="S12.T7.21.21.21.1.m1.1d">↓</annotation></semantics></math> </th> <td class="ltx_td ltx_align_center" id="S12.T7.21.21.21.2">0.134</td> <td class="ltx_td ltx_align_center" id="S12.T7.21.21.21.3">0.244</td> <td class="ltx_td ltx_align_center" id="S12.T7.21.21.21.4">0.241</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T7.21.21.21.5">0.240</td> <td class="ltx_td ltx_align_center" id="S12.T7.21.21.21.6">0.130</td> <td class="ltx_td ltx_align_center" id="S12.T7.21.21.21.7">0.243</td> <td class="ltx_td ltx_align_center" id="S12.T7.21.21.21.8">0.238</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T7.21.21.21.9">0.237</td> <td class="ltx_td ltx_align_center" id="S12.T7.21.21.21.10">0.128</td> <td class="ltx_td ltx_align_center" id="S12.T7.21.21.21.11">0.239</td> <td class="ltx_td ltx_align_center" id="S12.T7.21.21.21.12">0.237</td> <td class="ltx_td ltx_align_center" id="S12.T7.21.21.21.13">0.234</td> </tr> <tr class="ltx_tr" id="S12.T7.22.22.22"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T7.22.22.22.1"><math alttext="\|w\|_{0}\downarrow" class="ltx_Math" display="inline" id="S12.T7.22.22.22.1.m1.1"><semantics id="S12.T7.22.22.22.1.m1.1a"><mrow id="S12.T7.22.22.22.1.m1.1.2" xref="S12.T7.22.22.22.1.m1.1.2.cmml"><msub id="S12.T7.22.22.22.1.m1.1.2.2" xref="S12.T7.22.22.22.1.m1.1.2.2.cmml"><mrow id="S12.T7.22.22.22.1.m1.1.2.2.2.2" xref="S12.T7.22.22.22.1.m1.1.2.2.2.1.cmml"><mo id="S12.T7.22.22.22.1.m1.1.2.2.2.2.1" stretchy="false" xref="S12.T7.22.22.22.1.m1.1.2.2.2.1.1.cmml">‖</mo><mi id="S12.T7.22.22.22.1.m1.1.1" xref="S12.T7.22.22.22.1.m1.1.1.cmml">w</mi><mo id="S12.T7.22.22.22.1.m1.1.2.2.2.2.2" stretchy="false" xref="S12.T7.22.22.22.1.m1.1.2.2.2.1.1.cmml">‖</mo></mrow><mn id="S12.T7.22.22.22.1.m1.1.2.2.3" xref="S12.T7.22.22.22.1.m1.1.2.2.3.cmml">0</mn></msub><mo id="S12.T7.22.22.22.1.m1.1.2.1" stretchy="false" xref="S12.T7.22.22.22.1.m1.1.2.1.cmml">↓</mo><mi id="S12.T7.22.22.22.1.m1.1.2.3" xref="S12.T7.22.22.22.1.m1.1.2.3.cmml"></mi></mrow><annotation-xml encoding="MathML-Content" id="S12.T7.22.22.22.1.m1.1b"><apply id="S12.T7.22.22.22.1.m1.1.2.cmml" xref="S12.T7.22.22.22.1.m1.1.2"><ci id="S12.T7.22.22.22.1.m1.1.2.1.cmml" xref="S12.T7.22.22.22.1.m1.1.2.1">↓</ci><apply id="S12.T7.22.22.22.1.m1.1.2.2.cmml" xref="S12.T7.22.22.22.1.m1.1.2.2"><csymbol cd="ambiguous" id="S12.T7.22.22.22.1.m1.1.2.2.1.cmml" xref="S12.T7.22.22.22.1.m1.1.2.2">subscript</csymbol><apply id="S12.T7.22.22.22.1.m1.1.2.2.2.1.cmml" xref="S12.T7.22.22.22.1.m1.1.2.2.2.2"><csymbol cd="latexml" id="S12.T7.22.22.22.1.m1.1.2.2.2.1.1.cmml" xref="S12.T7.22.22.22.1.m1.1.2.2.2.2.1">norm</csymbol><ci id="S12.T7.22.22.22.1.m1.1.1.cmml" xref="S12.T7.22.22.22.1.m1.1.1">𝑤</ci></apply><cn id="S12.T7.22.22.22.1.m1.1.2.2.3.cmml" type="integer" xref="S12.T7.22.22.22.1.m1.1.2.2.3">0</cn></apply><csymbol cd="latexml" id="S12.T7.22.22.22.1.m1.1.2.3.cmml" xref="S12.T7.22.22.22.1.m1.1.2.3">absent</csymbol></apply></annotation-xml><annotation encoding="application/x-tex" id="S12.T7.22.22.22.1.m1.1c">\|w\|_{0}\downarrow</annotation><annotation encoding="application/x-llamapun" id="S12.T7.22.22.22.1.m1.1d">∥ italic_w ∥ start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT ↓</annotation></semantics></math></th> <td class="ltx_td ltx_align_center" id="S12.T7.22.22.22.2">72</td> <td class="ltx_td ltx_align_center" id="S12.T7.22.22.22.3">37</td> <td class="ltx_td ltx_align_center" id="S12.T7.22.22.22.4">57</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T7.22.22.22.5">67</td> <td class="ltx_td ltx_align_center" id="S12.T7.22.22.22.6">106</td> <td class="ltx_td ltx_align_center" id="S12.T7.22.22.22.7">57</td> <td class="ltx_td ltx_align_center" id="S12.T7.22.22.22.8">62</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T7.22.22.22.9">102</td> <td class="ltx_td ltx_align_center" id="S12.T7.22.22.22.10">152</td> <td class="ltx_td ltx_align_center" id="S12.T7.22.22.22.11">68</td> <td class="ltx_td ltx_align_center" id="S12.T7.22.22.22.12">75</td> <td class="ltx_td ltx_align_center" id="S12.T7.22.22.22.13">148</td> </tr> <tr class="ltx_tr" id="S12.T7.23.23.23"> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_r" id="S12.T7.23.23.23.1"> GFLOPs <math alttext="\downarrow" class="ltx_Math" display="inline" id="S12.T7.23.23.23.1.m1.1"><semantics id="S12.T7.23.23.23.1.m1.1a"><mo id="S12.T7.23.23.23.1.m1.1.1" stretchy="false" xref="S12.T7.23.23.23.1.m1.1.1.cmml">↓</mo><annotation-xml encoding="MathML-Content" id="S12.T7.23.23.23.1.m1.1b"><ci id="S12.T7.23.23.23.1.m1.1.1.cmml" xref="S12.T7.23.23.23.1.m1.1.1">↓</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T7.23.23.23.1.m1.1c">\downarrow</annotation><annotation encoding="application/x-llamapun" id="S12.T7.23.23.23.1.m1.1d">↓</annotation></semantics></math> </th> <td class="ltx_td ltx_align_center" id="S12.T7.23.23.23.2">539</td> <td class="ltx_td ltx_align_center" id="S12.T7.23.23.23.3">761</td> <td class="ltx_td ltx_align_center" id="S12.T7.23.23.23.4">1227</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T7.23.23.23.5">1607</td> <td class="ltx_td ltx_align_center" id="S12.T7.23.23.23.6">529</td> <td class="ltx_td ltx_align_center" id="S12.T7.23.23.23.7">882</td> <td class="ltx_td ltx_align_center" id="S12.T7.23.23.23.8">1272</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T7.23.23.23.9">2172</td> <td class="ltx_td ltx_align_center" id="S12.T7.23.23.23.10">573</td> <td class="ltx_td ltx_align_center" id="S12.T7.23.23.23.11">887</td> <td class="ltx_td ltx_align_center" id="S12.T7.23.23.23.12">1391</td> <td class="ltx_td ltx_align_center" id="S12.T7.23.23.23.13">2712</td> </tr> <tr class="ltx_tr" id="S12.T7.24.24.24"> <th class="ltx_td ltx_th ltx_th_row ltx_border_b ltx_border_r" id="S12.T7.24.24.24.2"></th> <th class="ltx_td ltx_align_center ltx_th ltx_th_row ltx_border_b ltx_border_r" id="S12.T7.24.24.24.1"> time <math alttext="\downarrow" class="ltx_Math" display="inline" id="S12.T7.24.24.24.1.m1.1"><semantics id="S12.T7.24.24.24.1.m1.1a"><mo id="S12.T7.24.24.24.1.m1.1.1" stretchy="false" xref="S12.T7.24.24.24.1.m1.1.1.cmml">↓</mo><annotation-xml encoding="MathML-Content" id="S12.T7.24.24.24.1.m1.1b"><ci id="S12.T7.24.24.24.1.m1.1.1.cmml" xref="S12.T7.24.24.24.1.m1.1.1">↓</ci></annotation-xml><annotation encoding="application/x-tex" id="S12.T7.24.24.24.1.m1.1c">\downarrow</annotation><annotation encoding="application/x-llamapun" id="S12.T7.24.24.24.1.m1.1d">↓</annotation></semantics></math> </th> <td class="ltx_td ltx_align_center ltx_border_b" id="S12.T7.24.24.24.3">14’</td> <td class="ltx_td ltx_align_center ltx_border_b" id="S12.T7.24.24.24.4">20’</td> <td class="ltx_td ltx_align_center ltx_border_b" id="S12.T7.24.24.24.5">22’</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r" id="S12.T7.24.24.24.6">22’</td> <td class="ltx_td ltx_align_center ltx_border_b" id="S12.T7.24.24.24.7">18’</td> <td class="ltx_td ltx_align_center ltx_border_b" id="S12.T7.24.24.24.8">28’</td> <td class="ltx_td ltx_align_center ltx_border_b" id="S12.T7.24.24.24.9">30’</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r" id="S12.T7.24.24.24.10">29’</td> <td class="ltx_td ltx_align_center ltx_border_b" id="S12.T7.24.24.24.11">24’</td> <td class="ltx_td ltx_align_center ltx_border_b" id="S12.T7.24.24.24.12">25’</td> <td class="ltx_td ltx_align_center ltx_border_b" id="S12.T7.24.24.24.13">46’</td> <td class="ltx_td ltx_align_center ltx_border_b" id="S12.T7.24.24.24.14">42’</td> </tr> </tbody> </table> </div> </figure> <figure class="ltx_figure" id="S12.F14"> <div class="ltx_flex_figure"> <div class="ltx_flex_cell ltx_flex_size_4"> <figure class="ltx_figure ltx_figure_panel ltx_align_center" id="S12.F14.1"><img alt="Refer to caption" class="ltx_graphics ltx_img_landscape" height="623" id="S12.F14.1.g1" src="x35.png" width="830"/> </figure> </div> <div class="ltx_flex_cell ltx_flex_size_4"> <figure class="ltx_figure ltx_figure_panel ltx_align_center" id="S12.F14.2"><img alt="Refer to caption" class="ltx_graphics ltx_img_landscape" height="623" id="S12.F14.2.g1" src="x36.png" width="830"/> </figure> </div> <div class="ltx_flex_cell ltx_flex_size_4"> <figure class="ltx_figure ltx_figure_panel ltx_align_center" id="S12.F14.3"><img alt="Refer to caption" class="ltx_graphics ltx_img_landscape" height="623" id="S12.F14.3.g1" src="x37.png" width="830"/> </figure> </div> <div class="ltx_flex_cell ltx_flex_size_4"> <figure class="ltx_figure ltx_figure_panel ltx_align_center" id="S12.F14.4"><img alt="Refer to caption" class="ltx_graphics ltx_img_landscape" height="623" id="S12.F14.4.g1" src="x38.png" width="830"/> </figure> </div> <div class="ltx_flex_break"></div> <div class="ltx_flex_cell ltx_flex_size_4"> <figure class="ltx_figure ltx_figure_panel ltx_align_center" id="S12.F14.5"><img alt="Refer to caption" class="ltx_graphics ltx_img_landscape" height="623" id="S12.F14.5.g1" src="x39.png" width="830"/> </figure> </div> <div class="ltx_flex_cell ltx_flex_size_4"> <figure class="ltx_figure ltx_figure_panel ltx_align_center" id="S12.F14.6"><img alt="Refer to caption" class="ltx_graphics ltx_img_landscape" height="623" id="S12.F14.6.g1" src="x40.png" width="830"/> </figure> </div> <div class="ltx_flex_cell ltx_flex_size_4"> <figure class="ltx_figure ltx_figure_panel ltx_align_center" id="S12.F14.7"><img alt="Refer to caption" class="ltx_graphics ltx_img_landscape" height="623" id="S12.F14.7.g1" src="x41.png" width="830"/> </figure> </div> <div class="ltx_flex_cell ltx_flex_size_4"> <figure class="ltx_figure ltx_figure_panel ltx_align_center" id="S12.F14.8"><img alt="Refer to caption" class="ltx_graphics ltx_img_landscape" height="623" id="S12.F14.8.g1" src="x42.png" width="830"/> </figure> </div> </div> <figcaption class="ltx_caption ltx_centering">Figure 14: PSNR/GFLOPs and PSNR/<math alttext="||w||_{0}" class="ltx_Math" display="inline" id="S12.F14.10.1.m1.1"><semantics id="S12.F14.10.1.m1.1b"><msub id="S12.F14.10.1.m1.1.2" xref="S12.F14.10.1.m1.1.2.cmml"><mrow id="S12.F14.10.1.m1.1.2.2.2" xref="S12.F14.10.1.m1.1.2.2.1.cmml"><mo id="S12.F14.10.1.m1.1.2.2.2.1" maxsize="111%" minsize="111%" xref="S12.F14.10.1.m1.1.2.2.1.1.cmml">‖</mo><mi id="S12.F14.10.1.m1.1.1" xref="S12.F14.10.1.m1.1.1.cmml">w</mi><mo id="S12.F14.10.1.m1.1.2.2.2.2" maxsize="111%" minsize="111%" xref="S12.F14.10.1.m1.1.2.2.1.1.cmml">‖</mo></mrow><mn id="S12.F14.10.1.m1.1.2.3" xref="S12.F14.10.1.m1.1.2.3.cmml">0</mn></msub><annotation-xml encoding="MathML-Content" id="S12.F14.10.1.m1.1c"><apply id="S12.F14.10.1.m1.1.2.cmml" xref="S12.F14.10.1.m1.1.2"><csymbol cd="ambiguous" id="S12.F14.10.1.m1.1.2.1.cmml" xref="S12.F14.10.1.m1.1.2">subscript</csymbol><apply id="S12.F14.10.1.m1.1.2.2.1.cmml" xref="S12.F14.10.1.m1.1.2.2.2"><csymbol cd="latexml" id="S12.F14.10.1.m1.1.2.2.1.1.cmml" xref="S12.F14.10.1.m1.1.2.2.2.1">norm</csymbol><ci id="S12.F14.10.1.m1.1.1.cmml" xref="S12.F14.10.1.m1.1.1">𝑤</ci></apply><cn id="S12.F14.10.1.m1.1.2.3.cmml" type="integer" xref="S12.F14.10.1.m1.1.2.3">0</cn></apply></annotation-xml><annotation encoding="application/x-tex" id="S12.F14.10.1.m1.1d">||w||_{0}</annotation><annotation encoding="application/x-llamapun" id="S12.F14.10.1.m1.1e">| | italic_w | | start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT</annotation></semantics></math> plots for aggregated results with Instant-NGP.</figcaption> </figure> <figure class="ltx_table" id="S12.T8"> <figcaption class="ltx_caption">Table 8: DVGO results on Synthetic-NeRF</figcaption> <div class="ltx_inline-block ltx_transformed_outer" id="S12.T8.12" style="width:433.6pt;height:365.7pt;vertical-align:-0.0pt;"> <table class="ltx_tabular ltx_guessed_headers ltx_align_middle" id="S12.T8.12.12"> <thead class="ltx_thead"> <tr class="ltx_tr" id="S12.T8.12.12.13.1"> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T8.12.12.13.1.1" rowspan="2">Method</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T8.12.12.13.1.2" rowspan="2">Scene</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_r ltx_border_t" colspan="5" id="S12.T8.12.12.13.1.3">M=3</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_r ltx_border_t" colspan="5" id="S12.T8.12.12.13.1.4">M=4</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" colspan="5" id="S12.T8.12.12.13.1.5">M=5</th> </tr> <tr class="ltx_tr" id="S12.T8.12.12.12"> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T8.1.1.1.1"> PSNR</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T8.2.2.2.2"> SSIM</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T8.3.3.3.3"> LPIPS</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T8.4.4.4.4"><math alttext="\|w\||_{0}\ " class="ltx_Math" display="inline" id="S12.T8.4.4.4.4.m1.3"><semantics id="S12.T8.4.4.4.4.m1.3a"><msub id="S12.T8.4.4.4.4.m1.3.3.1" xref="S12.T8.4.4.4.4.m1.3.3.2.cmml"><mrow id="S12.T8.4.4.4.4.m1.3.3.1.1" 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id="S12.T8.4.4.4.4.m1.3.3.1.1.1.1.1.cmml" xref="S12.T8.4.4.4.4.m1.3.3.1.1.1.2.1">norm</csymbol><ci id="S12.T8.4.4.4.4.m1.1.1.cmml" xref="S12.T8.4.4.4.4.m1.1.1">𝑤</ci></apply><cn id="S12.T8.4.4.4.4.m1.2.2.1.cmml" type="integer" xref="S12.T8.4.4.4.4.m1.2.2.1">0</cn></apply></annotation-xml><annotation encoding="application/x-tex" id="S12.T8.4.4.4.4.m1.3c">\|w\||_{0}\ </annotation><annotation encoding="application/x-llamapun" id="S12.T8.4.4.4.4.m1.3d">∥ italic_w ∥ | start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT</annotation></semantics></math></th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_r ltx_border_t" id="S12.T8.12.12.12.13">GFLOPs</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T8.5.5.5.5"> PSNR</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T8.6.6.6.6"> SSIM</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T8.7.7.7.7"> LPIPS</th> <th class="ltx_td 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ltx_th_column ltx_border_t" id="S12.T8.9.9.9.9"> PSNR</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T8.10.10.10.10"> SSIM</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T8.11.11.11.11"> LPIPS</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T8.12.12.12.12"><math alttext="\|w\||_{0}\ " class="ltx_Math" display="inline" id="S12.T8.12.12.12.12.m1.3"><semantics id="S12.T8.12.12.12.12.m1.3a"><msub id="S12.T8.12.12.12.12.m1.3.3.1" xref="S12.T8.12.12.12.12.m1.3.3.2.cmml"><mrow id="S12.T8.12.12.12.12.m1.3.3.1.1" xref="S12.T8.12.12.12.12.m1.3.3.2.cmml"><mrow id="S12.T8.12.12.12.12.m1.3.3.1.1.1.2" xref="S12.T8.12.12.12.12.m1.3.3.1.1.1.1.cmml"><mo id="S12.T8.12.12.12.12.m1.3.3.1.1.1.2.1" stretchy="false" xref="S12.T8.12.12.12.12.m1.3.3.1.1.1.1.1.cmml">‖</mo><mi id="S12.T8.12.12.12.12.m1.1.1" xref="S12.T8.12.12.12.12.m1.1.1.cmml">w</mi><mo id="S12.T8.12.12.12.12.m1.3.3.1.1.1.2.2" stretchy="false" xref="S12.T8.12.12.12.12.m1.3.3.1.1.1.1.1.cmml">‖</mo></mrow><mo id="S12.T8.12.12.12.12.m1.3.3.1.1.2" stretchy="false" xref="S12.T8.12.12.12.12.m1.3.3.2.1.cmml">|</mo></mrow><mn id="S12.T8.12.12.12.12.m1.2.2.1" xref="S12.T8.12.12.12.12.m1.2.2.1.cmml">0</mn></msub><annotation-xml encoding="MathML-Content" id="S12.T8.12.12.12.12.m1.3b"><apply id="S12.T8.12.12.12.12.m1.3.3.2.cmml" xref="S12.T8.12.12.12.12.m1.3.3.1"><csymbol cd="latexml" id="S12.T8.12.12.12.12.m1.3.3.2.1.cmml" xref="S12.T8.12.12.12.12.m1.3.3.1.1.2">evaluated-at</csymbol><apply id="S12.T8.12.12.12.12.m1.3.3.1.1.1.1.cmml" xref="S12.T8.12.12.12.12.m1.3.3.1.1.1.2"><csymbol cd="latexml" id="S12.T8.12.12.12.12.m1.3.3.1.1.1.1.1.cmml" xref="S12.T8.12.12.12.12.m1.3.3.1.1.1.2.1">norm</csymbol><ci id="S12.T8.12.12.12.12.m1.1.1.cmml" xref="S12.T8.12.12.12.12.m1.1.1">𝑤</ci></apply><cn id="S12.T8.12.12.12.12.m1.2.2.1.cmml" type="integer" xref="S12.T8.12.12.12.12.m1.2.2.1">0</cn></apply></annotation-xml><annotation encoding="application/x-tex" id="S12.T8.12.12.12.12.m1.3c">\|w\||_{0}\ </annotation><annotation encoding="application/x-llamapun" id="S12.T8.12.12.12.12.m1.3d">∥ italic_w ∥ | start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT</annotation></semantics></math></th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T8.12.12.12.15">GFLOPs</th> </tr> </thead> <tbody class="ltx_tbody"> <tr class="ltx_tr" id="S12.T8.12.12.14.1"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T8.12.12.14.1.1" rowspan="9">Baseline</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T8.12.12.14.1.2">Lego</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.14.1.3">35.99</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.14.1.4">0.981</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.14.1.5">0.009</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.14.1.6">9</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T8.12.12.14.1.7">224</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.14.1.8">35.85</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.14.1.9">0.980</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.14.1.10">0.009</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.14.1.11">13</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T8.12.12.14.1.12">324</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.14.1.13">35.52</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.14.1.14">0.978</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.14.1.15">0.010</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.14.1.16">26</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.14.1.17">929</td> </tr> <tr class="ltx_tr" id="S12.T8.12.12.15.2"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.15.2.1">Mic</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.15.2.2">35.47</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.15.2.3">0.990</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.15.2.4">0.006</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.15.2.5">7</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.15.2.6">85</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.15.2.7">36.24</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.15.2.8">0.991</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.15.2.9">0.005</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.15.2.10">9</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.15.2.11">127</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.15.2.12">36.68</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.15.2.13">0.992</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.15.2.14">0.005</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.15.2.15">18</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.15.2.16">845</td> </tr> <tr class="ltx_tr" id="S12.T8.12.12.16.3"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.16.3.1">Chair</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.16.3.2">35.70</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.16.3.3">0.985</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.16.3.4">0.009</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.16.3.5">9</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.16.3.6">96</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.16.3.7">35.95</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.16.3.8">0.986</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.16.3.9">0.009</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.16.3.10">12</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.16.3.11">175</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.16.3.12">36.01</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.16.3.13">0.986</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.16.3.14">0.009</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.16.3.15">23</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.16.3.16">703</td> </tr> <tr class="ltx_tr" id="S12.T8.12.12.17.4"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.17.4.1">Hotdog</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.17.4.2">37.09</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.17.4.3">0.982</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.17.4.4">0.013</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.17.4.5">11</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.17.4.6">436</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.17.4.7">36.89</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.17.4.8">0.981</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.17.4.9">0.014</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.17.4.10">15</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.17.4.11">588</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.17.4.12">36.67</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.17.4.13">0.981</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.17.4.14">0.015</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.17.4.15">30</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.17.4.16">820</td> </tr> <tr class="ltx_tr" id="S12.T8.12.12.18.5"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.18.5.1">Ficus</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.18.5.2">33.90</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.18.5.3">0.983</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.18.5.4">0.012</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.18.5.5">8</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.18.5.6">121</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.18.5.7">33.80</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.18.5.8">0.982</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.18.5.9">0.013</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.18.5.10">12</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.18.5.11">145</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.18.5.12">33.86</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.18.5.13">0.982</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.18.5.14">0.014</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.18.5.15">22</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.18.5.16">773</td> </tr> <tr class="ltx_tr" id="S12.T8.12.12.19.6"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.19.6.1">Drums</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.19.6.2">25.81</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.19.6.3">0.935</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.19.6.4">0.051</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.19.6.5">8</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.19.6.6">258</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.19.6.7">25.97</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.19.6.8">0.937</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.19.6.9">0.049</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.19.6.10">11</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.19.6.11">320</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.19.6.12">25.94</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.19.6.13">0.936</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.19.6.14">0.049</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.19.6.15">20</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.19.6.16">1048</td> </tr> <tr class="ltx_tr" id="S12.T8.12.12.20.7"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.20.7.1">Materials</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.20.7.2">29.50</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.20.7.3">0.948</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.20.7.4">0.025</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.20.7.5">12</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.20.7.6">731</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.20.7.7">29.33</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.20.7.8">0.945</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.20.7.9">0.029</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.20.7.10">17</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.20.7.11">975</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.20.7.12">29.07</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.20.7.13">0.940</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.20.7.14">0.035</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.20.7.15">32</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.20.7.16">806</td> </tr> <tr class="ltx_tr" id="S12.T8.12.12.21.8"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.21.8.1">Ship</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.21.8.2">30.27</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.21.8.3">0.895</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.21.8.4">0.083</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.21.8.5">13</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.21.8.6">1107</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.21.8.7">30.56</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.21.8.8">0.898</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.21.8.9">0.074</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.21.8.10">18</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.21.8.11">1412</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.21.8.12">30.59</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.21.8.13">0.896</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.21.8.14">0.069</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.21.8.15">35</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.21.8.16">790</td> </tr> <tr class="ltx_tr" id="S12.T8.12.12.22.9"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T8.12.12.22.9.1">avg</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.22.9.2">32.97</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.22.9.3">0.962</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.22.9.4">0.026</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.22.9.5">10</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T8.12.12.22.9.6">382</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.22.9.7">33.07</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.22.9.8">0.963</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.22.9.9">0.025</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.22.9.10">13</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T8.12.12.22.9.11">508</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.22.9.12">33.04</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.22.9.13">0.961</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.22.9.14">0.026</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.22.9.15">26</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.22.9.16">839</td> </tr> <tr class="ltx_tr" id="S12.T8.12.12.23.10"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T8.12.12.23.10.1" rowspan="9">Top-1</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T8.12.12.23.10.2">Lego</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.23.10.3">36.40</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.23.10.4">0.982</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.23.10.5">0.008</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.23.10.6">13</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T8.12.12.23.10.7">200</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.23.10.8">36.45</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.23.10.9">0.982</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.23.10.10">0.008</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.23.10.11">15</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T8.12.12.23.10.12">252</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.23.10.13">36.52</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.23.10.14">0.983</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.23.10.15">0.008</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.23.10.16">20</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.23.10.17">311</td> </tr> <tr class="ltx_tr" id="S12.T8.12.12.24.11"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.24.11.1">Mic</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.24.11.2">35.34</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.24.11.3">0.990</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.24.11.4">0.006</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.24.11.5">4</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.24.11.6">74</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.24.11.7">36.08</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.24.11.8">0.991</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.24.11.9">0.005</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.24.11.10">5</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.24.11.11">96</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.24.11.12">36.47</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.24.11.13">0.992</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.24.11.14">0.004</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.24.11.15">6</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.24.11.16">119</td> </tr> <tr class="ltx_tr" id="S12.T8.12.12.25.12"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.25.12.1">Chair</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.25.12.2">35.81</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.25.12.3">0.984</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.25.12.4">0.009</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.25.12.5">6</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.25.12.6">81</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.25.12.7">36.01</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.25.12.8">0.985</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.25.12.9">0.008</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.25.12.10">6</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.25.12.11">108</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.25.12.12">36.06</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.25.12.13">0.985</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.25.12.14">0.008</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.25.12.15">9</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.25.12.16">151</td> </tr> <tr class="ltx_tr" id="S12.T8.12.12.26.13"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.26.13.1">Hotdog</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.26.13.2">37.35</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.26.13.3">0.982</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.26.13.4">0.013</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.26.13.5">18</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.26.13.6">382</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.26.13.7">37.39</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.26.13.8">0.982</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.26.13.9">0.013</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.26.13.10">23</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.26.13.11">491</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.26.13.12">37.35</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.26.13.13">0.982</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.26.13.14">0.013</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.26.13.15">28</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.26.13.16">574</td> </tr> <tr class="ltx_tr" id="S12.T8.12.12.27.14"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.27.14.1">Ficus</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.27.14.2">34.37</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.27.14.3">0.983</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.27.14.4">0.012</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.27.14.5">13</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.27.14.6">115</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.27.14.7">34.47</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.27.14.8">0.984</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.27.14.9">0.012</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.27.14.10">15</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.27.14.11">136</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.27.14.12">34.45</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.27.14.13">0.984</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.27.14.14">0.012</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.27.14.15">20</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.27.14.16">147</td> </tr> <tr class="ltx_tr" id="S12.T8.12.12.28.15"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.28.15.1">Drums</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.28.15.2">25.80</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.28.15.3">0.932</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.28.15.4">0.054</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.28.15.5">10</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.28.15.6">251</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.28.15.7">25.91</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.28.15.8">0.934</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.28.15.9">0.051</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.28.15.10">11</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.28.15.11">291</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.28.15.12">26.00</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.28.15.13">0.935</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.28.15.14">0.049</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.28.15.15">16</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.28.15.16">327</td> </tr> <tr class="ltx_tr" id="S12.T8.12.12.29.16"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.29.16.1">Materials</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.29.16.2">29.95</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.29.16.3">0.952</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.29.16.4">0.025</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.29.16.5">39</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.29.16.6">643</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.29.16.7">29.91</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.29.16.8">0.952</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.29.16.9">0.025</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.29.16.10">49</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.29.16.11">824</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.29.16.12">29.72</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.29.16.13">0.950</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.29.16.14">0.026</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.29.16.15">59</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.29.16.16">963</td> </tr> <tr class="ltx_tr" id="S12.T8.12.12.30.17"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.30.17.1">Ship</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.30.17.2">30.32</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.30.17.3">0.892</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.30.17.4">0.082</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.30.17.5">29</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.30.17.6">994</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.30.17.7">30.53</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.30.17.8">0.895</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.30.17.9">0.076</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.30.17.10">40</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.30.17.11">1247</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.30.17.12">30.75</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.30.17.13">0.897</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.30.17.14">0.071</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.30.17.15">47</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.30.17.16">1395</td> </tr> <tr class="ltx_tr" id="S12.T8.12.12.31.18"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T8.12.12.31.18.1">avg</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.31.18.2">33.17</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.31.18.3">0.962</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.31.18.4">0.026</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.31.18.5">17</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T8.12.12.31.18.6">342</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.31.18.7">33.34</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.31.18.8">0.963</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.31.18.9">0.025</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.31.18.10">20</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T8.12.12.31.18.11">431</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.31.18.12">33.41</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.31.18.13">0.964</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.31.18.14">0.024</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.31.18.15">26</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.31.18.16">499</td> </tr> <tr class="ltx_tr" id="S12.T8.12.12.32.19"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T8.12.12.32.19.1" rowspan="9">Top-2</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T8.12.12.32.19.2">Lego</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.32.19.3">36.59</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.32.19.4">0.983</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.32.19.5">0.008</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.32.19.6">20</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T8.12.12.32.19.7">378</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.32.19.8">36.80</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.32.19.9">0.983</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.32.19.10">0.008</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.32.19.11">26</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T8.12.12.32.19.12">476</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.32.19.13">36.89</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.32.19.14">0.983</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.32.19.15">0.007</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.32.19.16">31</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.32.19.17">587</td> </tr> <tr class="ltx_tr" id="S12.T8.12.12.33.20"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.33.20.1">Mic</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.33.20.2">35.49</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.33.20.3">0.990</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.33.20.4">0.005</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.33.20.5">6</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.33.20.6">140</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.33.20.7">36.43</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.33.20.8">0.992</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.33.20.9">0.004</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.33.20.10">9</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.33.20.11">181</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.33.20.12">36.98</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.33.20.13">0.993</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.33.20.14">0.004</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.33.20.15">8</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.33.20.16">225</td> </tr> <tr class="ltx_tr" id="S12.T8.12.12.34.21"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.34.21.1">Chair</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.34.21.2">36.16</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.34.21.3">0.986</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.34.21.4">0.008</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.34.21.5">8</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.34.21.6">153</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.34.21.7">36.41</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.34.21.8">0.987</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.34.21.9">0.007</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.34.21.10">11</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.34.21.11">204</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.34.21.12">36.54</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.34.21.13">0.987</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.34.21.14">0.007</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.34.21.15">12</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.34.21.16">285</td> </tr> <tr class="ltx_tr" id="S12.T8.12.12.35.22"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.35.22.1">Hotdog</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.35.22.2">37.50</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.35.22.3">0.983</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.35.22.4">0.013</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.35.22.5">27</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.35.22.6">721</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.35.22.7">37.68</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.35.22.8">0.984</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.35.22.9">0.011</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.35.22.10">38</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.35.22.11">926</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.35.22.12">37.78</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.35.22.13">0.984</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.35.22.14">0.011</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.35.22.15">48</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.35.22.16">1083</td> </tr> <tr class="ltx_tr" id="S12.T8.12.12.36.23"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.36.23.1">Ficus</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.36.23.2">34.20</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.36.23.3">0.983</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.36.23.4">0.012</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.36.23.5">22</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.36.23.6">217</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.36.23.7">34.28</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.36.23.8">0.983</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.36.23.9">0.011</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.36.23.10">21</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.36.23.11">256</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.36.23.12">34.45</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.36.23.13">0.984</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.36.23.14">0.011</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.36.23.15">26</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.36.23.16">277</td> </tr> <tr class="ltx_tr" id="S12.T8.12.12.37.24"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.37.24.1">Drums</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.37.24.2">25.98</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.37.24.3">0.936</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.37.24.4">0.050</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.37.24.5">15</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.37.24.6">475</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.37.24.7">26.05</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.37.24.8">0.937</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.37.24.9">0.048</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.37.24.10">22</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.37.24.11">548</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.37.24.12">26.21</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.37.24.13">0.938</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.37.24.14">0.046</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.37.24.15">21</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.37.24.16">616</td> </tr> <tr class="ltx_tr" id="S12.T8.12.12.38.25"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.38.25.1">Materials</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.38.25.2">29.98</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.38.25.3">0.953</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.38.25.4">0.023</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.38.25.5">53</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.38.25.6">1214</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.38.25.7">29.95</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.38.25.8">0.953</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.38.25.9">0.023</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.38.25.10">74</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.38.25.11">1555</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.38.25.12">29.99</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.38.25.13">0.954</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.38.25.14">0.022</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.38.25.15">87</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.38.25.16">1815</td> </tr> <tr class="ltx_tr" id="S12.T8.12.12.39.26"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.39.26.1">Ship</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.39.26.2">30.57</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.39.26.3">0.897</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.39.26.4">0.084</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.39.26.5">47</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.39.26.6">1878</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.39.26.7">30.78</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.39.26.8">0.900</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.39.26.9">0.076</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.39.26.10">60</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.39.26.11">2354</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.39.26.12">31.07</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.39.26.13">0.901</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.39.26.14">0.071</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.39.26.15">80</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.39.26.16">2631</td> </tr> <tr class="ltx_tr" id="S12.T8.12.12.40.27"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T8.12.12.40.27.1">avg</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.40.27.2">33.31</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.40.27.3">0.964</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.40.27.4">0.025</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.40.27.5">25</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T8.12.12.40.27.6">647</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.40.27.7">33.53</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.40.27.8">0.965</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.40.27.9">0.024</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.40.27.10">33</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T8.12.12.40.27.11">813</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.40.27.12">33.74</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.40.27.13">0.965</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.40.27.14">0.022</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.40.27.15">39</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.40.27.16">940</td> </tr> <tr class="ltx_tr" id="S12.T8.12.12.41.28"> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r ltx_border_t" id="S12.T8.12.12.41.28.1" rowspan="9">Ens</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T8.12.12.41.28.2">Lego</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.41.28.3">36.54</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.41.28.4">0.983</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.41.28.5">0.008</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.41.28.6">27</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T8.12.12.41.28.7">534</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.41.28.8">36.75</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.41.28.9">0.983</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.41.28.10">0.007</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.41.28.11">47</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T8.12.12.41.28.12">895</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.41.28.13">36.82</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.41.28.14">0.984</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.41.28.15">0.007</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.41.28.16">76</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T8.12.12.41.28.17">1377</td> </tr> <tr class="ltx_tr" id="S12.T8.12.12.42.29"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.42.29.1">Mic</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.42.29.2">35.45</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.42.29.3">0.990</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.42.29.4">0.006</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.42.29.5">7</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.42.29.6">198</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.42.29.7">36.22</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.42.29.8">0.992</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.42.29.9">0.005</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.42.29.10">13</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.42.29.11">340</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.42.29.12">36.77</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.42.29.13">0.992</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.42.29.14">0.004</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.42.29.15">21</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.42.29.16">529</td> </tr> <tr class="ltx_tr" id="S12.T8.12.12.43.30"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.43.30.1">Chair</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.43.30.2">36.24</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.43.30.3">0.986</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.43.30.4">0.008</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.43.30.5">13</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.43.30.6">215</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.43.30.7">36.53</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.43.30.8">0.987</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.43.30.9">0.008</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.43.30.10">23</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.43.30.11">384</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.43.30.12">36.67</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.43.30.13">0.988</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.43.30.14">0.007</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.43.30.15">36</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.43.30.16">670</td> </tr> <tr class="ltx_tr" id="S12.T8.12.12.44.31"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.44.31.1">Hotdog</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.44.31.2">37.72</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.44.31.3">0.984</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.44.31.4">0.011</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.44.31.5">39</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.44.31.6">1019</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.44.31.7">37.79</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.44.31.8">0.985</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.44.31.9">0.011</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.44.31.10">75</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.44.31.11">1742</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.44.31.12">37.85</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.44.31.13">0.985</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.44.31.14">0.011</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.44.31.15">127</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.44.31.16">2542</td> </tr> <tr class="ltx_tr" id="S12.T8.12.12.45.32"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.45.32.1">Ficus</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.45.32.2">34.14</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.45.32.3">0.983</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.45.32.4">0.010</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.45.32.5">24</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.45.32.6">306</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.45.32.7">34.42</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.45.32.8">0.984</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.45.32.9">0.010</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.45.32.10">42</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.45.32.11">482</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.45.32.12">34.61</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.45.32.13">0.985</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.45.32.14">0.009</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.45.32.15">64</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.45.32.16">651</td> </tr> <tr class="ltx_tr" id="S12.T8.12.12.46.33"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.46.33.1">Drums</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.46.33.2">26.09</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.46.33.3">0.936</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.46.33.4">0.050</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.46.33.5">20</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.46.33.6">671</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.46.33.7">26.21</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.46.33.8">0.937</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.46.33.9">0.048</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.46.33.10">35</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.46.33.11">1031</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.46.33.12">26.39</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.46.33.13">0.940</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.46.33.14">0.045</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.46.33.15">56</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.46.33.16">1445</td> </tr> <tr class="ltx_tr" id="S12.T8.12.12.47.34"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.47.34.1">Materials</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.47.34.2">30.05</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.47.34.3">0.954</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.47.34.4">0.021</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.47.34.5">71</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.47.34.6">1715</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.47.34.7">30.11</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.47.34.8">0.955</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.47.34.9">0.019</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.47.34.10">136</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.47.34.11">2925</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.47.34.12">30.19</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.47.34.13">0.956</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.47.34.14">0.019</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.47.34.15">227</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.47.34.16">4262</td> </tr> <tr class="ltx_tr" id="S12.T8.12.12.48.35"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.48.35.1">Ship</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.48.35.2">30.53</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.48.35.3">0.897</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.48.35.4">0.081</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.48.35.5">53</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.48.35.6">2653</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.48.35.7">30.82</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.48.35.8">0.900</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.48.35.9">0.075</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.48.35.10">102</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T8.12.12.48.35.11">4428</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.48.35.12">31.06</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.48.35.13">0.903</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.48.35.14">0.070</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.48.35.15">169</td> <td class="ltx_td ltx_align_center" id="S12.T8.12.12.48.35.16">6176</td> </tr> <tr class="ltx_tr" id="S12.T8.12.12.49.36"> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r ltx_border_t" id="S12.T8.12.12.49.36.1">avg</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T8.12.12.49.36.2">33.35</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T8.12.12.49.36.3">0.964</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T8.12.12.49.36.4">0.025</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T8.12.12.49.36.5">32</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r ltx_border_t" id="S12.T8.12.12.49.36.6">914</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T8.12.12.49.36.7">33.61</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T8.12.12.49.36.8">0.965</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T8.12.12.49.36.9">0.023</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T8.12.12.49.36.10">59</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r ltx_border_t" id="S12.T8.12.12.49.36.11">1529</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T8.12.12.49.36.12">33.79</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T8.12.12.49.36.13">0.966</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T8.12.12.49.36.14">0.022</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T8.12.12.49.36.15">97</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T8.12.12.49.36.16">2206</td> </tr> </tbody> </table> </div> </figure> <figure class="ltx_table" id="S12.T9"> <figcaption class="ltx_caption">Table 9: Per-scene results on NSVF with DVGO</figcaption> <div class="ltx_inline-block ltx_transformed_outer" id="S12.T9.12" style="width:433.6pt;height:360.7pt;vertical-align:-0.0pt;"> <table class="ltx_tabular ltx_guessed_headers ltx_align_middle" id="S12.T9.12.12"> <thead class="ltx_thead"> <tr class="ltx_tr" id="S12.T9.12.12.13.1"> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T9.12.12.13.1.1" rowspan="2">Method</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T9.12.12.13.1.2" rowspan="2">Scene</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_r ltx_border_t" colspan="5" id="S12.T9.12.12.13.1.3">M=3</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_r ltx_border_t" colspan="5" id="S12.T9.12.12.13.1.4">M=4</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" colspan="5" id="S12.T9.12.12.13.1.5">M=5</th> </tr> <tr class="ltx_tr" id="S12.T9.12.12.12"> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T9.1.1.1.1"> PSNR</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T9.2.2.2.2"> SSIM</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T9.3.3.3.3"> LPIPS</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T9.4.4.4.4"><math alttext="\|w\||_{0}\ " class="ltx_Math" display="inline" id="S12.T9.4.4.4.4.m1.3"><semantics id="S12.T9.4.4.4.4.m1.3a"><msub id="S12.T9.4.4.4.4.m1.3.3.1" xref="S12.T9.4.4.4.4.m1.3.3.2.cmml"><mrow id="S12.T9.4.4.4.4.m1.3.3.1.1" xref="S12.T9.4.4.4.4.m1.3.3.2.cmml"><mrow id="S12.T9.4.4.4.4.m1.3.3.1.1.1.2" xref="S12.T9.4.4.4.4.m1.3.3.1.1.1.1.cmml"><mo id="S12.T9.4.4.4.4.m1.3.3.1.1.1.2.1" stretchy="false" 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ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T9.11.11.11.11"> LPIPS</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T9.12.12.12.12"><math alttext="\|w\||_{0}\ " class="ltx_Math" display="inline" id="S12.T9.12.12.12.12.m1.3"><semantics id="S12.T9.12.12.12.12.m1.3a"><msub id="S12.T9.12.12.12.12.m1.3.3.1" xref="S12.T9.12.12.12.12.m1.3.3.2.cmml"><mrow id="S12.T9.12.12.12.12.m1.3.3.1.1" xref="S12.T9.12.12.12.12.m1.3.3.2.cmml"><mrow id="S12.T9.12.12.12.12.m1.3.3.1.1.1.2" xref="S12.T9.12.12.12.12.m1.3.3.1.1.1.1.cmml"><mo id="S12.T9.12.12.12.12.m1.3.3.1.1.1.2.1" stretchy="false" xref="S12.T9.12.12.12.12.m1.3.3.1.1.1.1.1.cmml">‖</mo><mi id="S12.T9.12.12.12.12.m1.1.1" xref="S12.T9.12.12.12.12.m1.1.1.cmml">w</mi><mo id="S12.T9.12.12.12.12.m1.3.3.1.1.1.2.2" stretchy="false" xref="S12.T9.12.12.12.12.m1.3.3.1.1.1.1.1.cmml">‖</mo></mrow><mo id="S12.T9.12.12.12.12.m1.3.3.1.1.2" stretchy="false" xref="S12.T9.12.12.12.12.m1.3.3.2.1.cmml">|</mo></mrow><mn id="S12.T9.12.12.12.12.m1.2.2.1" xref="S12.T9.12.12.12.12.m1.2.2.1.cmml">0</mn></msub><annotation-xml encoding="MathML-Content" id="S12.T9.12.12.12.12.m1.3b"><apply id="S12.T9.12.12.12.12.m1.3.3.2.cmml" xref="S12.T9.12.12.12.12.m1.3.3.1"><csymbol cd="latexml" id="S12.T9.12.12.12.12.m1.3.3.2.1.cmml" xref="S12.T9.12.12.12.12.m1.3.3.1.1.2">evaluated-at</csymbol><apply id="S12.T9.12.12.12.12.m1.3.3.1.1.1.1.cmml" xref="S12.T9.12.12.12.12.m1.3.3.1.1.1.2"><csymbol cd="latexml" id="S12.T9.12.12.12.12.m1.3.3.1.1.1.1.1.cmml" xref="S12.T9.12.12.12.12.m1.3.3.1.1.1.2.1">norm</csymbol><ci id="S12.T9.12.12.12.12.m1.1.1.cmml" xref="S12.T9.12.12.12.12.m1.1.1">𝑤</ci></apply><cn id="S12.T9.12.12.12.12.m1.2.2.1.cmml" type="integer" xref="S12.T9.12.12.12.12.m1.2.2.1">0</cn></apply></annotation-xml><annotation encoding="application/x-tex" id="S12.T9.12.12.12.12.m1.3c">\|w\||_{0}\ </annotation><annotation encoding="application/x-llamapun" id="S12.T9.12.12.12.12.m1.3d">∥ italic_w ∥ | start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT</annotation></semantics></math></th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T9.12.12.12.15">GFLOPs</th> </tr> </thead> <tbody class="ltx_tbody"> <tr class="ltx_tr" id="S12.T9.12.12.14.1"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T9.12.12.14.1.1" rowspan="9">Baseline</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T9.12.12.14.1.2">Bike</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.14.1.3">38.13</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.14.1.4">0.991</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.14.1.5">0.004</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.14.1.6">16</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T9.12.12.14.1.7">269</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.14.1.8">37.70</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.14.1.9">0.990</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.14.1.10">0.004</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.14.1.11">32</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T9.12.12.14.1.12">369</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.14.1.13">37.25</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.14.1.14">0.989</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.14.1.15">0.005</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.14.1.16">48</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.14.1.17">448</td> </tr> <tr class="ltx_tr" id="S12.T9.12.12.15.2"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.15.2.1">Lifestyle</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.15.2.2">34.27</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.15.2.3">0.969</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.15.2.4">0.021</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.15.2.5">20</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.15.2.6">369</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.15.2.7">34.34</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.15.2.8">0.969</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.15.2.9">0.021</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.15.2.10">42</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.15.2.11">505</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.15.2.12">34.24</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.15.2.13">0.968</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.15.2.14">0.022</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.15.2.15">65</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.15.2.16">619</td> </tr> <tr class="ltx_tr" id="S12.T9.12.12.16.3"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.16.3.1">Palace</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.16.3.2">36.59</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.16.3.3">0.974</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.16.3.4">0.015</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.16.3.5">21</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.16.3.6">189</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.16.3.7">37.01</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.16.3.8">0.976</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.16.3.9">0.013</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.16.3.10">43</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.16.3.11">264</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.16.3.12">36.90</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.16.3.13">0.975</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.16.3.14">0.012</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.16.3.15">66</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.16.3.16">319</td> </tr> <tr class="ltx_tr" id="S12.T9.12.12.17.4"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.17.4.1">Robot</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.17.4.2">37.24</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.17.4.3">0.993</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.17.4.4">0.004</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.17.4.5">31</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.17.4.6">385</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.17.4.7">37.07</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.17.4.8">0.992</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.17.4.9">0.004</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.17.4.10">64</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.17.4.11">585</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.17.4.12">36.56</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.17.4.13">0.991</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.17.4.14">0.004</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.17.4.15">100</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.17.4.16">730</td> </tr> <tr class="ltx_tr" id="S12.T9.12.12.18.5"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.18.5.1">Spaceship</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.18.5.2">36.53</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.18.5.3">0.983</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.18.5.4">0.016</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.18.5.5">58</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.18.5.6">399</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.18.5.7">35.63</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.18.5.8">0.979</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.18.5.9">0.022</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.18.5.10">113</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.18.5.11">536</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.18.5.12">34.78</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.18.5.13">0.974</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.18.5.14">0.028</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.18.5.15">179</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.18.5.16">662</td> </tr> <tr class="ltx_tr" id="S12.T9.12.12.19.6"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.19.6.1">Streamtrain</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.19.6.2">36.17</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.19.6.3">0.985</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.19.6.4">0.011</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.19.6.5">37</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.19.6.6">263</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.19.6.7">35.53</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.19.6.8">0.982</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.19.6.9">0.013</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.19.6.10">79</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.19.6.11">369</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.19.6.12">34.87</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.19.6.13">0.978</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.19.6.14">0.017</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.19.6.15">132</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.19.6.16">473</td> </tr> <tr class="ltx_tr" id="S12.T9.12.12.20.7"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.20.7.1">Toad</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.20.7.2">34.67</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.20.7.3">0.977</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.20.7.4">0.018</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.20.7.5">20</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.20.7.6">182</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.20.7.7">35.28</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.20.7.8">0.980</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.20.7.9">0.014</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.20.7.10">40</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.20.7.11">252</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.20.7.12">35.42</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.20.7.13">0.981</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.20.7.14">0.013</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.20.7.15">61</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.20.7.16">314</td> </tr> <tr class="ltx_tr" id="S12.T9.12.12.21.8"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.21.8.1">Wineholder</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.21.8.2">31.08</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.21.8.3">0.959</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.21.8.4">0.025</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.21.8.5">30</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.21.8.6">487</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.21.8.7">31.54</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.21.8.8">0.963</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.21.8.9">0.022</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.21.8.10">64</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.21.8.11">731</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.21.8.12">31.67</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.21.8.13">0.963</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.21.8.14">0.022</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.21.8.15">106</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.21.8.16">945</td> </tr> <tr class="ltx_tr" id="S12.T9.12.12.22.9"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T9.12.12.22.9.1">avg</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.22.9.2">35.59</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.22.9.3">0.979</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.22.9.4">0.014</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.22.9.5">29</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T9.12.12.22.9.6">318</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.22.9.7">35.51</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.22.9.8">0.979</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.22.9.9">0.014</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.22.9.10">60</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T9.12.12.22.9.11">452</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.22.9.12">35.21</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.22.9.13">0.977</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.22.9.14">0.015</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.22.9.15">95</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.22.9.16">564</td> </tr> <tr class="ltx_tr" id="S12.T9.12.12.23.10"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T9.12.12.23.10.1" rowspan="9">Top-1</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T9.12.12.23.10.2">Bike</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.23.10.3">39.68</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.23.10.4">0.993</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.23.10.5">0.003</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.23.10.6">13</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T9.12.12.23.10.7">160</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.23.10.8">39.60</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.23.10.9">0.993</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.23.10.10">0.003</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.23.10.11">16</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T9.12.12.23.10.12">213</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.23.10.13">39.55</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.23.10.14">0.993</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.23.10.15">0.003</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.23.10.16">22</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.23.10.17">255</td> </tr> <tr class="ltx_tr" id="S12.T9.12.12.24.11"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.24.11.1">Lifestyle</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.24.11.2">35.25</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.24.11.3">0.971</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.24.11.4">0.018</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.24.11.5">15</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.24.11.6">307</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.24.11.7">35.27</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.24.11.8">0.972</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.24.11.9">0.016</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.24.11.10">21</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.24.11.11">416</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.24.11.12">35.37</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.24.11.13">0.973</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.24.11.14">0.015</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.24.11.15">25</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.24.11.16">467</td> </tr> <tr class="ltx_tr" id="S12.T9.12.12.25.12"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.25.12.1">Palace</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.25.12.2">37.53</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.25.12.3">0.977</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.25.12.4">0.010</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.25.12.5">21</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.25.12.6">426</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.25.12.7">37.97</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.25.12.8">0.980</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.25.12.9">0.010</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.25.12.10">26</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.25.12.11">549</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.25.12.12">38.24</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.25.12.13">0.981</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.25.12.14">0.008</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.25.12.15">28</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.25.12.16">681</td> </tr> <tr class="ltx_tr" id="S12.T9.12.12.26.13"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.26.13.1">Robot</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.26.13.2">38.79</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.26.13.3">0.995</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.26.13.4">0.003</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.26.13.5">13</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.26.13.6">158</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.26.13.7">39.07</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.26.13.8">0.995</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.26.13.9">0.002</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.26.13.10">16</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.26.13.11">205</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.26.13.12">39.11</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.26.13.13">0.995</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.26.13.14">0.002</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.26.13.15">23</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.26.13.16">245</td> </tr> <tr class="ltx_tr" id="S12.T9.12.12.27.14"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.27.14.1">Spaceship</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.27.14.2">38.43</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.27.14.3">0.988</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.27.14.4">0.009</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.27.14.5">20</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.27.14.6">238</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.27.14.7">38.43</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.27.14.8">0.988</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.27.14.9">0.010</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.27.14.10">24</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.27.14.11">296</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.27.14.12">38.17</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.27.14.13">0.987</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.27.14.14">0.011</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.27.14.15">33</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.27.14.16">356</td> </tr> <tr class="ltx_tr" id="S12.T9.12.12.28.15"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.28.15.1">Streamtrain</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.28.15.2">37.39</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.28.15.3">0.990</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.28.15.4">0.007</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.28.15.5">36</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.28.15.6">337</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.28.15.7">37.35</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.28.15.8">0.990</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.28.15.9">0.007</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.28.15.10">50</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.28.15.11">449</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.28.15.12">37.27</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.28.15.13">0.990</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.28.15.14">0.007</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.28.15.15">53</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.28.15.16">533</td> </tr> <tr class="ltx_tr" id="S12.T9.12.12.29.16"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.29.16.1">Toad</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.29.16.2">35.32</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.29.16.3">0.979</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.29.16.4">0.015</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.29.16.5">11</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.29.16.6">257</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.29.16.7">35.88</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.29.16.8">0.982</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.29.16.9">0.012</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.29.16.10">16</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.29.16.11">434</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.29.16.12">36.58</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.29.16.13">0.984</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.29.16.14">0.010</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.29.16.15">19</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.29.16.16">539</td> </tr> <tr class="ltx_tr" id="S12.T9.12.12.30.17"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.30.17.1">Wineholder</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.30.17.2">32.18</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.30.17.3">0.965</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.30.17.4">0.019</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.30.17.5">11</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.30.17.6">241</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.30.17.7">32.41</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.30.17.8">0.967</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.30.17.9">0.018</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.30.17.10">13</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.30.17.11">303</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.30.17.12">32.67</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.30.17.13">0.969</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.30.17.14">0.016</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.30.17.15">18</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.30.17.16">364</td> </tr> <tr class="ltx_tr" id="S12.T9.12.12.31.18"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T9.12.12.31.18.1">avg</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.31.18.2">36.82</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.31.18.3">0.982</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.31.18.4">0.010</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.31.18.5">18</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T9.12.12.31.18.6">266</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.31.18.7">37.00</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.31.18.8">0.983</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.31.18.9">0.010</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.31.18.10">23</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T9.12.12.31.18.11">358</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.31.18.12">37.12</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.31.18.13">0.984</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.31.18.14">0.009</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.31.18.15">27</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.31.18.16">430</td> </tr> <tr class="ltx_tr" id="S12.T9.12.12.32.19"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T9.12.12.32.19.1" rowspan="9">Top-2</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T9.12.12.32.19.2">Bike</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.32.19.3">40.09</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.32.19.4">0.994</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.32.19.5">0.002</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.32.19.6">18</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T9.12.12.32.19.7">303</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.32.19.8">40.08</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.32.19.9">0.994</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.32.19.10">0.002</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.32.19.11">25</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T9.12.12.32.19.12">403</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.32.19.13">40.01</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.32.19.14">0.994</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.32.19.15">0.002</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.32.19.16">30</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.32.19.17">481</td> </tr> <tr class="ltx_tr" id="S12.T9.12.12.33.20"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.33.20.1">Lifestyle</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.33.20.2">35.51</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.33.20.3">0.974</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.33.20.4">0.015</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.33.20.5">17</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.33.20.6">580</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.33.20.7">35.65</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.33.20.8">0.975</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.33.20.9">0.015</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.33.20.10">26</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.33.20.11">785</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.33.20.12">35.67</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.33.20.13">0.975</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.33.20.14">0.014</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.33.20.15">33</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.33.20.16">881</td> </tr> <tr class="ltx_tr" id="S12.T9.12.12.34.21"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.34.21.1">Palace</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.34.21.2">37.94</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.34.21.3">0.980</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.34.21.4">0.011</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.34.21.5">30</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.34.21.6">806</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.34.21.7">38.50</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.34.21.8">0.982</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.34.21.9">0.009</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.34.21.10">45</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.34.21.11">1036</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.34.21.12">38.80</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.34.21.13">0.983</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.34.21.14">0.008</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.34.21.15">53</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.34.21.16">1283</td> </tr> <tr class="ltx_tr" id="S12.T9.12.12.35.22"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.35.22.1">Robot</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.35.22.2">39.29</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.35.22.3">0.995</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.35.22.4">0.002</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.35.22.5">19</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.35.22.6">300</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.35.22.7">39.43</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.35.22.8">0.995</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.35.22.9">0.002</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.35.22.10">26</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.35.22.11">387</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.35.22.12">39.46</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.35.22.13">0.995</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.35.22.14">0.002</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.35.22.15">35</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.35.22.16">462</td> </tr> <tr class="ltx_tr" id="S12.T9.12.12.36.23"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.36.23.1">Spaceship</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.36.23.2">38.98</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.36.23.3">0.989</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.36.23.4">0.007</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.36.23.5">31</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.36.23.6">449</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.36.23.7">39.00</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.36.23.8">0.990</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.36.23.9">0.007</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.36.23.10">35</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.36.23.11">560</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.36.23.12">39.03</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.36.23.13">0.990</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.36.23.14">0.007</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.36.23.15">48</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.36.23.16">671</td> </tr> <tr class="ltx_tr" id="S12.T9.12.12.37.24"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.37.24.1">Streamtrain</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.37.24.2">37.62</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.37.24.3">0.991</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.37.24.4">0.007</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.37.24.5">40</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.37.24.6">638</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.37.24.7">37.57</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.37.24.8">0.991</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.37.24.9">0.007</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.37.24.10">66</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.37.24.11">848</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.37.24.12">37.54</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.37.24.13">0.991</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.37.24.14">0.007</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.37.24.15">95</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.37.24.16">1005</td> </tr> <tr class="ltx_tr" id="S12.T9.12.12.38.25"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.38.25.1">Toad</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.38.25.2">36.19</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.38.25.3">0.982</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.38.25.4">0.012</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.38.25.5">12</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.38.25.6">486</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.38.25.7">36.80</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.38.25.8">0.985</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.38.25.9">0.010</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.38.25.10">17</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.38.25.11">819</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.38.25.12">37.16</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.38.25.13">0.985</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.38.25.14">0.009</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.38.25.15">25</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.38.25.16">1016</td> </tr> <tr class="ltx_tr" id="S12.T9.12.12.39.26"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.39.26.1">Wineholder</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.39.26.2">32.43</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.39.26.3">0.967</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.39.26.4">0.018</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.39.26.5">16</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.39.26.6">456</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.39.26.7">32.83</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.39.26.8">0.970</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.39.26.9">0.015</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.39.26.10">18</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.39.26.11">572</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.39.26.12">33.06</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.39.26.13">0.971</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.39.26.14">0.014</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.39.26.15">27</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.39.26.16">686</td> </tr> <tr class="ltx_tr" id="S12.T9.12.12.40.27"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T9.12.12.40.27.1">avg</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.40.27.2">37.26</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.40.27.3">0.984</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.40.27.4">0.009</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.40.27.5">23</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T9.12.12.40.27.6">502</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.40.27.7">37.48</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.40.27.8">0.985</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.40.27.9">0.008</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.40.27.10">32</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T9.12.12.40.27.11">676</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.40.27.12">37.59</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.40.27.13">0.986</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.40.27.14">0.008</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.40.27.15">43</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.40.27.16">811</td> </tr> <tr class="ltx_tr" id="S12.T9.12.12.41.28"> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r ltx_border_t" id="S12.T9.12.12.41.28.1" rowspan="9">Ens</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T9.12.12.41.28.2">Bike</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.41.28.3">39.84</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.41.28.4">0.993</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.41.28.5">0.002</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.41.28.6">24</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T9.12.12.41.28.7">428</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.41.28.8">40.00</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.41.28.9">0.994</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.41.28.10">0.002</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.41.28.11">44</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T9.12.12.41.28.12">758</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.41.28.13">39.95</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.41.28.14">0.994</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.41.28.15">0.002</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.41.28.16">70</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T9.12.12.41.28.17">1130</td> </tr> <tr class="ltx_tr" id="S12.T9.12.12.42.29"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.42.29.1">Lifestyle</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.42.29.2">35.50</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.42.29.3">0.974</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.42.29.4">0.015</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.42.29.5">23</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.42.29.6">819</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.42.29.7">35.67</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.42.29.8">0.976</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.42.29.9">0.013</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.42.29.10">43</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.42.29.11">1477</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.42.29.12">35.75</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.42.29.13">0.976</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.42.29.14">0.012</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.42.29.15">68</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.42.29.16">2069</td> </tr> <tr class="ltx_tr" id="S12.T9.12.12.43.30"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.43.30.1">Palace</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.43.30.2">37.98</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.43.30.3">0.980</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.43.30.4">0.010</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.43.30.5">38</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.43.30.6">1138</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.43.30.7">38.66</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.43.30.8">0.983</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.43.30.9">0.008</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.43.30.10">69</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.43.30.11">1948</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.43.30.12">39.03</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.43.30.13">0.984</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.43.30.14">0.007</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.43.30.15">115</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.43.30.16">3012</td> </tr> <tr class="ltx_tr" id="S12.T9.12.12.44.31"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.44.31.1">Robot</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.44.31.2">39.08</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.44.31.3">0.995</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.44.31.4">0.002</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.44.31.5">24</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.44.31.6">423</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.44.31.7">39.33</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.44.31.8">0.995</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.44.31.9">0.002</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.44.31.10">45</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.44.31.11">727</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.44.31.12">39.43</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.44.31.13">0.995</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.44.31.14">0.002</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.44.31.15">74</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.44.31.16">1084</td> </tr> <tr class="ltx_tr" id="S12.T9.12.12.45.32"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.45.32.1">Spaceship</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.45.32.2">39.03</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.45.32.3">0.990</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.45.32.4">0.007</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.45.32.5">44</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.45.32.6">635</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.45.32.7">39.15</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.45.32.8">0.990</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.45.32.9">0.007</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.45.32.10">81</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.45.32.11">1052</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.45.32.12">39.22</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.45.32.13">0.990</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.45.32.14">0.007</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.45.32.15">137</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.45.32.16">1576</td> </tr> <tr class="ltx_tr" id="S12.T9.12.12.46.33"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.46.33.1">Streamtrain</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.46.33.2">37.49</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.46.33.3">0.991</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.46.33.4">0.007</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.46.33.5">60</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.46.33.6">901</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.46.33.7">37.52</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.46.33.8">0.991</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.46.33.9">0.007</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.46.33.10">115</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.46.33.11">1595</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.46.33.12">37.50</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.46.33.13">0.990</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.46.33.14">0.007</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.46.33.15">192</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.46.33.16">2359</td> </tr> <tr class="ltx_tr" id="S12.T9.12.12.47.34"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.47.34.1">Toad</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.47.34.2">36.28</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.47.34.3">0.983</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.47.34.4">0.011</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.47.34.5">24</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.47.34.6">686</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.47.34.7">37.05</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.47.34.8">0.986</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.47.34.9">0.009</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.47.34.10">50</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.47.34.11">1540</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.47.34.12">37.53</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.47.34.13">0.987</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.47.34.14">0.008</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.47.34.15">86</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.47.34.16">2385</td> </tr> <tr class="ltx_tr" id="S12.T9.12.12.48.35"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.48.35.1">Wineholder</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.48.35.2">32.22</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.48.35.3">0.967</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.48.35.4">0.018</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.48.35.5">19</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.48.35.6">644</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.48.35.7">32.70</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.48.35.8">0.970</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.48.35.9">0.016</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.48.35.10">35</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T9.12.12.48.35.11">1075</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.48.35.12">33.06</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.48.35.13">0.972</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.48.35.14">0.014</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.48.35.15">56</td> <td class="ltx_td ltx_align_center" id="S12.T9.12.12.48.35.16">1610</td> </tr> <tr class="ltx_tr" id="S12.T9.12.12.49.36"> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r ltx_border_t" id="S12.T9.12.12.49.36.1">avg</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T9.12.12.49.36.2">37.18</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T9.12.12.49.36.3">0.984</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T9.12.12.49.36.4">0.009</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T9.12.12.49.36.5">32</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r ltx_border_t" id="S12.T9.12.12.49.36.6">709</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T9.12.12.49.36.7">37.51</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T9.12.12.49.36.8">0.985</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T9.12.12.49.36.9">0.008</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T9.12.12.49.36.10">60</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r ltx_border_t" id="S12.T9.12.12.49.36.11">1271</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T9.12.12.49.36.12">37.68</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T9.12.12.49.36.13">0.986</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T9.12.12.49.36.14">0.007</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T9.12.12.49.36.15">100</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T9.12.12.49.36.16">1903</td> </tr> </tbody> </table> </div> </figure> <figure class="ltx_table" id="S12.T10"> <figcaption class="ltx_caption">Table 10: Per-scene results on TanksAndTemple with DVGO</figcaption> <div class="ltx_inline-block ltx_transformed_outer" id="S12.T10.12" style="width:433.6pt;height:248.2pt;vertical-align:-0.0pt;"> <table class="ltx_tabular ltx_guessed_headers ltx_align_middle" id="S12.T10.12.12"> <thead class="ltx_thead"> <tr class="ltx_tr" id="S12.T10.12.12.13.1"> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T10.12.12.13.1.1" rowspan="2">Method</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T10.12.12.13.1.2" rowspan="2">Scene</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_r ltx_border_t" colspan="5" id="S12.T10.12.12.13.1.3">M=3</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_r ltx_border_t" colspan="5" id="S12.T10.12.12.13.1.4">M=4</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" colspan="5" id="S12.T10.12.12.13.1.5">M=5</th> </tr> <tr class="ltx_tr" id="S12.T10.12.12.12"> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T10.1.1.1.1"> PSNR</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T10.2.2.2.2"> SSIM</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T10.3.3.3.3"> LPIPS</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T10.4.4.4.4"><math alttext="\|w\||_{0}\ " class="ltx_Math" display="inline" id="S12.T10.4.4.4.4.m1.3"><semantics id="S12.T10.4.4.4.4.m1.3a"><msub id="S12.T10.4.4.4.4.m1.3.3.1" xref="S12.T10.4.4.4.4.m1.3.3.2.cmml"><mrow id="S12.T10.4.4.4.4.m1.3.3.1.1" xref="S12.T10.4.4.4.4.m1.3.3.2.cmml"><mrow id="S12.T10.4.4.4.4.m1.3.3.1.1.1.2" xref="S12.T10.4.4.4.4.m1.3.3.1.1.1.1.cmml"><mo id="S12.T10.4.4.4.4.m1.3.3.1.1.1.2.1" stretchy="false" xref="S12.T10.4.4.4.4.m1.3.3.1.1.1.1.1.cmml">‖</mo><mi 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id="S12.T10.8.8.8.8.m1.3.3.1.1.1.1.cmml" xref="S12.T10.8.8.8.8.m1.3.3.1.1.1.2"><csymbol cd="latexml" id="S12.T10.8.8.8.8.m1.3.3.1.1.1.1.1.cmml" xref="S12.T10.8.8.8.8.m1.3.3.1.1.1.2.1">norm</csymbol><ci id="S12.T10.8.8.8.8.m1.1.1.cmml" xref="S12.T10.8.8.8.8.m1.1.1">𝑤</ci></apply><cn id="S12.T10.8.8.8.8.m1.2.2.1.cmml" type="integer" xref="S12.T10.8.8.8.8.m1.2.2.1">0</cn></apply></annotation-xml><annotation encoding="application/x-tex" id="S12.T10.8.8.8.8.m1.3c">\|w\||_{0}\ </annotation><annotation encoding="application/x-llamapun" id="S12.T10.8.8.8.8.m1.3d">∥ italic_w ∥ | start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT</annotation></semantics></math></th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_r ltx_border_t" id="S12.T10.12.12.12.14">GFLOPs</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T10.9.9.9.9"> PSNR</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T10.10.10.10.10"> SSIM</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T10.11.11.11.11"> LPIPS</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T10.12.12.12.12"><math alttext="\|w\||_{0}\ " class="ltx_Math" display="inline" id="S12.T10.12.12.12.12.m1.3"><semantics id="S12.T10.12.12.12.12.m1.3a"><msub id="S12.T10.12.12.12.12.m1.3.3.1" xref="S12.T10.12.12.12.12.m1.3.3.2.cmml"><mrow id="S12.T10.12.12.12.12.m1.3.3.1.1" xref="S12.T10.12.12.12.12.m1.3.3.2.cmml"><mrow id="S12.T10.12.12.12.12.m1.3.3.1.1.1.2" xref="S12.T10.12.12.12.12.m1.3.3.1.1.1.1.cmml"><mo id="S12.T10.12.12.12.12.m1.3.3.1.1.1.2.1" stretchy="false" xref="S12.T10.12.12.12.12.m1.3.3.1.1.1.1.1.cmml">‖</mo><mi id="S12.T10.12.12.12.12.m1.1.1" xref="S12.T10.12.12.12.12.m1.1.1.cmml">w</mi><mo id="S12.T10.12.12.12.12.m1.3.3.1.1.1.2.2" stretchy="false" xref="S12.T10.12.12.12.12.m1.3.3.1.1.1.1.1.cmml">‖</mo></mrow><mo id="S12.T10.12.12.12.12.m1.3.3.1.1.2" stretchy="false" xref="S12.T10.12.12.12.12.m1.3.3.2.1.cmml">|</mo></mrow><mn id="S12.T10.12.12.12.12.m1.2.2.1" xref="S12.T10.12.12.12.12.m1.2.2.1.cmml">0</mn></msub><annotation-xml encoding="MathML-Content" id="S12.T10.12.12.12.12.m1.3b"><apply id="S12.T10.12.12.12.12.m1.3.3.2.cmml" xref="S12.T10.12.12.12.12.m1.3.3.1"><csymbol cd="latexml" id="S12.T10.12.12.12.12.m1.3.3.2.1.cmml" xref="S12.T10.12.12.12.12.m1.3.3.1.1.2">evaluated-at</csymbol><apply id="S12.T10.12.12.12.12.m1.3.3.1.1.1.1.cmml" xref="S12.T10.12.12.12.12.m1.3.3.1.1.1.2"><csymbol cd="latexml" id="S12.T10.12.12.12.12.m1.3.3.1.1.1.1.1.cmml" xref="S12.T10.12.12.12.12.m1.3.3.1.1.1.2.1">norm</csymbol><ci id="S12.T10.12.12.12.12.m1.1.1.cmml" xref="S12.T10.12.12.12.12.m1.1.1">𝑤</ci></apply><cn id="S12.T10.12.12.12.12.m1.2.2.1.cmml" type="integer" xref="S12.T10.12.12.12.12.m1.2.2.1">0</cn></apply></annotation-xml><annotation encoding="application/x-tex" id="S12.T10.12.12.12.12.m1.3c">\|w\||_{0}\ </annotation><annotation encoding="application/x-llamapun" id="S12.T10.12.12.12.12.m1.3d">∥ italic_w ∥ | start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT</annotation></semantics></math></th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T10.12.12.12.15">GFLOPs</th> </tr> </thead> <tbody class="ltx_tbody"> <tr class="ltx_tr" id="S12.T10.12.12.14.1"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T10.12.12.14.1.1" rowspan="6">Baseline</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T10.12.12.14.1.2">Ignatius</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.14.1.3">28.39</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.14.1.4">0.95</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.14.1.5">0.076</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.14.1.6">20</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T10.12.12.14.1.7">1588</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.14.1.8">28.55</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.14.1.9">0.951</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.14.1.10">0.07</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.14.1.11">35</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T10.12.12.14.1.12">1755</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.14.1.13">27.86</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.14.1.14">0.873</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.14.1.15">0.207</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.14.1.16">84</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.14.1.17">3490</td> </tr> <tr class="ltx_tr" id="S12.T10.12.12.15.2"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T10.12.12.15.2.1">Caterpillar</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.15.2.2">26.06</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.15.2.3">0.911</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.15.2.4">0.137</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.15.2.5">9</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T10.12.12.15.2.6">1298</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.15.2.7">26.08</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.15.2.8">0.912</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.15.2.9">0.129</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.15.2.10">31</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T10.12.12.15.2.11">1012</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.15.2.12">27.68</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.15.2.13">0.924</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.15.2.14">0.102</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.15.2.15">59</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.15.2.16">1592</td> </tr> <tr class="ltx_tr" id="S12.T10.12.12.16.3"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T10.12.12.16.3.1">Family</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.16.3.2">33.76</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.16.3.3">0.964</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.16.3.4">0.057</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.16.3.5">23</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T10.12.12.16.3.6">1293</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.16.3.7">33.75</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.16.3.8">0.964</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.16.3.9">0.053</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.16.3.10">20</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T10.12.12.16.3.11">1647</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.16.3.12">26.13</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.16.3.13">0.914</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.16.3.14">0.119</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.16.3.15">51</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.16.3.16">2561</td> </tr> <tr class="ltx_tr" id="S12.T10.12.12.17.4"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T10.12.12.17.4.1">Barn</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.17.4.2">27.28</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.17.4.3">0.853</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.17.4.4">0.258</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.17.4.5">16</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T10.12.12.17.4.6">822</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.17.4.7">27.61</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.17.4.8">0.860</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.17.4.9">0.236</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.17.4.10">20</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T10.12.12.17.4.11">1588</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.17.4.12">28.52</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.17.4.13">0.951</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.17.4.14">0.068</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.17.4.15">89</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.17.4.16">3088</td> </tr> <tr class="ltx_tr" id="S12.T10.12.12.18.5"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T10.12.12.18.5.1">Truck</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.18.5.2">27.45</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.18.5.3">0.915</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.18.5.4">0.126</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.18.5.5">18</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T10.12.12.18.5.6">1493</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.18.5.7">27.55</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.18.5.8">0.920</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.18.5.9">0.115</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.18.5.10">47</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T10.12.12.18.5.11">1735</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.18.5.12">34.43</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.18.5.13">0.97</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.18.5.14">0.039</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.18.5.15">86</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.18.5.16">2599</td> </tr> <tr class="ltx_tr" id="S12.T10.12.12.19.6"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T10.12.12.19.6.1">avg</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.19.6.2">28.59</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.19.6.3">0.919</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.19.6.4">0.131</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.19.6.5">17</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T10.12.12.19.6.6">1299</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.19.6.7">28.71</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.19.6.8">0.921</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.19.6.9">0.121</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.19.6.10">31</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T10.12.12.19.6.11">1547</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.19.6.12">28.92</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.19.6.13">0.926</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.19.6.14">0.107</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.19.6.15">74</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.19.6.16">2666</td> </tr> <tr class="ltx_tr" id="S12.T10.12.12.20.7"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T10.12.12.20.7.1" rowspan="6">Top-1</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T10.12.12.20.7.2">Ignatius</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.20.7.3">28.18</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.20.7.4">0.947</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.20.7.5">0.073</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.20.7.6">11</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T10.12.12.20.7.7">796</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.20.7.8">28.28</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.20.7.9">0.948</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.20.7.10">0.071</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.20.7.11">12</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T10.12.12.20.7.12">926</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.20.7.13">28.36</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.20.7.14">0.949</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.20.7.15">0.070</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.20.7.16">14</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.20.7.17">1044</td> </tr> <tr class="ltx_tr" id="S12.T10.12.12.21.8"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T10.12.12.21.8.1">Caterpillar</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.21.8.2">26.45</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.21.8.3">0.914</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.21.8.4">0.121</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.21.8.5">11</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T10.12.12.21.8.6">1265</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.21.8.7">26.55</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.21.8.8">0.914</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.21.8.9">0.119</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.21.8.10">14</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T10.12.12.21.8.11">1462</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.21.8.12">26.59</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.21.8.13">0.916</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.21.8.14">0.117</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.21.8.15">14</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.21.8.16">1716</td> </tr> <tr class="ltx_tr" id="S12.T10.12.12.22.9"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T10.12.12.22.9.1">Family</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.22.9.2">34.5</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.22.9.3">0.968</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.22.9.4">0.049</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.22.9.5">11</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T10.12.12.22.9.6">1140</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.22.9.7">34.67</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.22.9.8">0.969</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.22.9.9">0.046</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.22.9.10">15</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T10.12.12.22.9.11">1457</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.22.9.12">34.75</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.22.9.13">0.97</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.22.9.14">0.044</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.22.9.15">18</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.22.9.16">1714</td> </tr> <tr class="ltx_tr" id="S12.T10.12.12.23.10"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T10.12.12.23.10.1">Barn</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.23.10.2">27.85</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.23.10.3">0.859</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.23.10.4">0.223</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.23.10.5">12</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T10.12.12.23.10.6">1384</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.23.10.7">27.98</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.23.10.8">0.865</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.23.10.9">0.21</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.23.10.10">16</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T10.12.12.23.10.11">1681</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.23.10.12">28.18</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.23.10.13">0.868</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.23.10.14">0.204</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.23.10.15">18</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.23.10.16">1656</td> </tr> <tr class="ltx_tr" id="S12.T10.12.12.24.11"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T10.12.12.24.11.1">Truck</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.24.11.2">27.69</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.24.11.3">0.918</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.24.11.4">0.11</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.24.11.5">12</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T10.12.12.24.11.6">1527</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.24.11.7">27.78</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.24.11.8">0.921</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.24.11.9">0.105</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.24.11.10">15</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T10.12.12.24.11.11">1789</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.24.11.12">27.8</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.24.11.13">0.921</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.24.11.14">0.104</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.24.11.15">18</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.24.11.16">2002</td> </tr> <tr class="ltx_tr" id="S12.T10.12.12.25.12"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T10.12.12.25.12.1">avg</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.25.12.2">28.93</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.25.12.3">0.921</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.25.12.4">0.115</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.25.12.5">11</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T10.12.12.25.12.6">1223</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.25.12.7">29.05</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.25.12.8">0.923</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.25.12.9">0.110</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.25.12.10">15</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T10.12.12.25.12.11">1463</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.25.12.12">29.14</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.25.12.13">0.925</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.25.12.14">0.108</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.25.12.15">16</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.25.12.16">1626</td> </tr> <tr class="ltx_tr" id="S12.T10.12.12.26.13"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T10.12.12.26.13.1" rowspan="6">Top-2</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T10.12.12.26.13.2">Ignatius</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.26.13.3">28.21</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.26.13.4">0.949</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.26.13.5">0.074</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.26.13.6">17</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T10.12.12.26.13.7">1505</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.26.13.8">28.27</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.26.13.9">0.950</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.26.13.10">0.071</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.26.13.11">21</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T10.12.12.26.13.12">1747</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.26.13.13">28.27</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.26.13.14">0.951</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.26.13.15">0.069</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.26.13.16">28</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.26.13.17">1969</td> </tr> <tr class="ltx_tr" id="S12.T10.12.12.27.14"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T10.12.12.27.14.1">Caterpillar</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.27.14.2">26.66</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.27.14.3">0.918</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.27.14.4">0.12</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.27.14.5">16</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T10.12.12.27.14.6">2390</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.27.14.7">26.72</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.27.14.8">0.920</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.27.14.9">0.117</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.27.14.10">19</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T10.12.12.27.14.11">2759</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.27.14.12">26.78</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.27.14.13">0.921</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.27.14.14">0.114</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.27.14.15">24</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.27.14.16">3235</td> </tr> <tr class="ltx_tr" id="S12.T10.12.12.28.15"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T10.12.12.28.15.1">Family</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.28.15.2">34.75</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.28.15.3">0.97</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.28.15.4">0.048</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.28.15.5">17</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T10.12.12.28.15.6">2155</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.28.15.7">34.92</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.28.15.8">0.972</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.28.15.9">0.045</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.28.15.10">20</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T10.12.12.28.15.11">2750</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.28.15.12">35</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.28.15.13">0.972</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.28.15.14">0.043</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.28.15.15">24</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.28.15.16">3232</td> </tr> <tr class="ltx_tr" id="S12.T10.12.12.29.16"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T10.12.12.29.16.1">Barn</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.29.16.2">28.14</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.29.16.3">0.866</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.29.16.4">0.212</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.29.16.5">19</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T10.12.12.29.16.6">2616</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.29.16.7">28.27</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.29.16.8">0.871</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.29.16.9">0.202</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.29.16.10">26</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T10.12.12.29.16.11">3173</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.29.16.12">28.42</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.29.16.13">0.874</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.29.16.14">0.195</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.29.16.15">27</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.29.16.16">3122</td> </tr> <tr class="ltx_tr" id="S12.T10.12.12.30.17"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T10.12.12.30.17.1">Truck</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.30.17.2">27.75</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.30.17.3">0.921</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.30.17.4">0.11</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.30.17.5">19</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T10.12.12.30.17.6">2885</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.30.17.7">27.84</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.30.17.8">0.924</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.30.17.9">0.105</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.30.17.10">23</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T10.12.12.30.17.11">3377</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.30.17.12">27.88</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.30.17.13">0.925</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.30.17.14">0.101</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.30.17.15">26</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.30.17.16">3773</td> </tr> <tr class="ltx_tr" id="S12.T10.12.12.31.18"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T10.12.12.31.18.1">avg</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.31.18.2">29.10</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.31.18.3">0.925</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.31.18.4">0.113</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.31.18.5">18</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T10.12.12.31.18.6">2310</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.31.18.7">29.21</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.31.18.8">0.927</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.31.18.9">0.108</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.31.18.10">22</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T10.12.12.31.18.11">2761</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.31.18.12">29.27</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.31.18.13">0.929</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.31.18.14">0.105</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.31.18.15">26</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.31.18.16">3066</td> </tr> <tr class="ltx_tr" id="S12.T10.12.12.32.19"> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r ltx_border_t" id="S12.T10.12.12.32.19.1" rowspan="6">Ens</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T10.12.12.32.19.2">Ignatius</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.32.19.3">28.26</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.32.19.4">0.95</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.32.19.5">0.076</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.32.19.6">21</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T10.12.12.32.19.7">2126</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.32.19.8">28.36</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.32.19.9">0.953</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.32.19.10">0.072</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.32.19.11">37</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T10.12.12.32.19.12">3286</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.32.19.13">28.4</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.32.19.14">0.954</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.32.19.15">0.07</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.32.19.16">57</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T10.12.12.32.19.17">4622</td> </tr> <tr class="ltx_tr" id="S12.T10.12.12.33.20"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T10.12.12.33.20.1">Caterpillar</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.33.20.2">26.66</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.33.20.3">0.919</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.33.20.4">0.122</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.33.20.5">20</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T10.12.12.33.20.6">3377</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.33.20.7">26.85</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.33.20.8">0.923</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.33.20.9">0.118</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.33.20.10">30</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T10.12.12.33.20.11">5189</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.33.20.12">26.94</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.33.20.13">0.925</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.33.20.14">0.113</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.33.20.15">46</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.33.20.16">7593</td> </tr> <tr class="ltx_tr" id="S12.T10.12.12.34.21"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T10.12.12.34.21.1">Family</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.34.21.2">34.72</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.34.21.3">0.971</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.34.21.4">0.047</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.34.21.5">28</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T10.12.12.34.21.6">3045</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.34.21.7">34.93</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.34.21.8">0.973</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.34.21.9">0.044</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.34.21.10">50</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T10.12.12.34.21.11">5173</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.34.21.12">35.06</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.34.21.13">0.974</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.34.21.14">0.042</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.34.21.15">82</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.34.21.16">7588</td> </tr> <tr class="ltx_tr" id="S12.T10.12.12.35.22"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T10.12.12.35.22.1">Barn</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.35.22.2">28.13</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.35.22.3">0.868</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.35.22.4">0.209</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.35.22.5">27</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T10.12.12.35.22.6">3695</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.35.22.7">28.32</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.35.22.8">0.874</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.35.22.9">0.197</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.35.22.10">48</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T10.12.12.35.22.11">5968</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.35.22.12">28.51</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.35.22.13">0.879</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.35.22.14">0.19</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.35.22.15">68</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.35.22.16">7328</td> </tr> <tr class="ltx_tr" id="S12.T10.12.12.36.23"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T10.12.12.36.23.1">Truck</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.36.23.2">27.76</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.36.23.3">0.923</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.36.23.4">0.111</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.36.23.5">27</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T10.12.12.36.23.6">4075</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.36.23.7">27.89</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.36.23.8">0.927</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.36.23.9">0.104</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.36.23.10">46</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T10.12.12.36.23.11">6350</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.36.23.12">27.95</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.36.23.13">0.93</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.36.23.14">0.101</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.36.23.15">71</td> <td class="ltx_td ltx_align_center" id="S12.T10.12.12.36.23.16">8857</td> </tr> <tr class="ltx_tr" id="S12.T10.12.12.37.24"> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r ltx_border_t" id="S12.T10.12.12.37.24.1">avg</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T10.12.12.37.24.2">29.11</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T10.12.12.37.24.3">0.926</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T10.12.12.37.24.4">0.113</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T10.12.12.37.24.5">25</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r ltx_border_t" id="S12.T10.12.12.37.24.6">3263</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T10.12.12.37.24.7">29.27</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T10.12.12.37.24.8">0.930</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T10.12.12.37.24.9">0.107</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T10.12.12.37.24.10">43</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r ltx_border_t" id="S12.T10.12.12.37.24.11">5193</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T10.12.12.37.24.12">29.37</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T10.12.12.37.24.13">0.932</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T10.12.12.37.24.14">0.103</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T10.12.12.37.24.15">65</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T10.12.12.37.24.16">7198</td> </tr> </tbody> </table> </div> </figure> <figure class="ltx_table" id="S12.T11"> <figcaption class="ltx_caption">Table 11: Per-scene results on LLFF with DVGO</figcaption> <div class="ltx_inline-block ltx_transformed_outer" id="S12.T11.12" style="width:433.6pt;height:368.5pt;vertical-align:-0.0pt;"> <table class="ltx_tabular ltx_guessed_headers ltx_align_middle" id="S12.T11.12.12"> <thead class="ltx_thead"> <tr class="ltx_tr" id="S12.T11.12.12.13.1"> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T11.12.12.13.1.1" rowspan="2">Method</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T11.12.12.13.1.2" rowspan="2">Scene</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_r ltx_border_t" colspan="5" id="S12.T11.12.12.13.1.3">M=3</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_r ltx_border_t" colspan="5" id="S12.T11.12.12.13.1.4">M=4</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" colspan="5" id="S12.T11.12.12.13.1.5">M=5</th> </tr> <tr class="ltx_tr" id="S12.T11.12.12.12"> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T11.1.1.1.1"> PSNR</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T11.2.2.2.2"> SSIM</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T11.3.3.3.3"> LPIPS</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T11.4.4.4.4"><math alttext="\|w\||_{0}\ " 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ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T11.6.6.6.6"> SSIM</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T11.7.7.7.7"> LPIPS</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T11.8.8.8.8"><math alttext="\|w\||_{0}\ " class="ltx_Math" display="inline" id="S12.T11.8.8.8.8.m1.3"><semantics id="S12.T11.8.8.8.8.m1.3a"><msub id="S12.T11.8.8.8.8.m1.3.3.1" xref="S12.T11.8.8.8.8.m1.3.3.2.cmml"><mrow id="S12.T11.8.8.8.8.m1.3.3.1.1" xref="S12.T11.8.8.8.8.m1.3.3.2.cmml"><mrow id="S12.T11.8.8.8.8.m1.3.3.1.1.1.2" xref="S12.T11.8.8.8.8.m1.3.3.1.1.1.1.cmml"><mo id="S12.T11.8.8.8.8.m1.3.3.1.1.1.2.1" stretchy="false" xref="S12.T11.8.8.8.8.m1.3.3.1.1.1.1.1.cmml">‖</mo><mi id="S12.T11.8.8.8.8.m1.1.1" xref="S12.T11.8.8.8.8.m1.1.1.cmml">w</mi><mo id="S12.T11.8.8.8.8.m1.3.3.1.1.1.2.2" stretchy="false" xref="S12.T11.8.8.8.8.m1.3.3.1.1.1.1.1.cmml">‖</mo></mrow><mo id="S12.T11.8.8.8.8.m1.3.3.1.1.2" stretchy="false" xref="S12.T11.8.8.8.8.m1.3.3.2.1.cmml">|</mo></mrow><mn id="S12.T11.8.8.8.8.m1.2.2.1" xref="S12.T11.8.8.8.8.m1.2.2.1.cmml">0</mn></msub><annotation-xml encoding="MathML-Content" id="S12.T11.8.8.8.8.m1.3b"><apply id="S12.T11.8.8.8.8.m1.3.3.2.cmml" xref="S12.T11.8.8.8.8.m1.3.3.1"><csymbol cd="latexml" id="S12.T11.8.8.8.8.m1.3.3.2.1.cmml" xref="S12.T11.8.8.8.8.m1.3.3.1.1.2">evaluated-at</csymbol><apply id="S12.T11.8.8.8.8.m1.3.3.1.1.1.1.cmml" xref="S12.T11.8.8.8.8.m1.3.3.1.1.1.2"><csymbol cd="latexml" id="S12.T11.8.8.8.8.m1.3.3.1.1.1.1.1.cmml" xref="S12.T11.8.8.8.8.m1.3.3.1.1.1.2.1">norm</csymbol><ci id="S12.T11.8.8.8.8.m1.1.1.cmml" xref="S12.T11.8.8.8.8.m1.1.1">𝑤</ci></apply><cn id="S12.T11.8.8.8.8.m1.2.2.1.cmml" type="integer" xref="S12.T11.8.8.8.8.m1.2.2.1">0</cn></apply></annotation-xml><annotation encoding="application/x-tex" id="S12.T11.8.8.8.8.m1.3c">\|w\||_{0}\ </annotation><annotation encoding="application/x-llamapun" id="S12.T11.8.8.8.8.m1.3d">∥ italic_w ∥ | start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT</annotation></semantics></math></th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_r ltx_border_t" id="S12.T11.12.12.12.14">GFLOPs</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T11.9.9.9.9"> PSNR</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T11.10.10.10.10"> SSIM</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T11.11.11.11.11"> LPIPS</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T11.12.12.12.12"><math alttext="\|w\||_{0}\ " class="ltx_Math" display="inline" id="S12.T11.12.12.12.12.m1.3"><semantics id="S12.T11.12.12.12.12.m1.3a"><msub id="S12.T11.12.12.12.12.m1.3.3.1" xref="S12.T11.12.12.12.12.m1.3.3.2.cmml"><mrow id="S12.T11.12.12.12.12.m1.3.3.1.1" xref="S12.T11.12.12.12.12.m1.3.3.2.cmml"><mrow id="S12.T11.12.12.12.12.m1.3.3.1.1.1.2" xref="S12.T11.12.12.12.12.m1.3.3.1.1.1.1.cmml"><mo id="S12.T11.12.12.12.12.m1.3.3.1.1.1.2.1" stretchy="false" xref="S12.T11.12.12.12.12.m1.3.3.1.1.1.1.1.cmml">‖</mo><mi id="S12.T11.12.12.12.12.m1.1.1" xref="S12.T11.12.12.12.12.m1.1.1.cmml">w</mi><mo id="S12.T11.12.12.12.12.m1.3.3.1.1.1.2.2" stretchy="false" xref="S12.T11.12.12.12.12.m1.3.3.1.1.1.1.1.cmml">‖</mo></mrow><mo id="S12.T11.12.12.12.12.m1.3.3.1.1.2" stretchy="false" xref="S12.T11.12.12.12.12.m1.3.3.2.1.cmml">|</mo></mrow><mn id="S12.T11.12.12.12.12.m1.2.2.1" xref="S12.T11.12.12.12.12.m1.2.2.1.cmml">0</mn></msub><annotation-xml encoding="MathML-Content" id="S12.T11.12.12.12.12.m1.3b"><apply id="S12.T11.12.12.12.12.m1.3.3.2.cmml" xref="S12.T11.12.12.12.12.m1.3.3.1"><csymbol cd="latexml" id="S12.T11.12.12.12.12.m1.3.3.2.1.cmml" xref="S12.T11.12.12.12.12.m1.3.3.1.1.2">evaluated-at</csymbol><apply id="S12.T11.12.12.12.12.m1.3.3.1.1.1.1.cmml" xref="S12.T11.12.12.12.12.m1.3.3.1.1.1.2"><csymbol cd="latexml" id="S12.T11.12.12.12.12.m1.3.3.1.1.1.1.1.cmml" xref="S12.T11.12.12.12.12.m1.3.3.1.1.1.2.1">norm</csymbol><ci id="S12.T11.12.12.12.12.m1.1.1.cmml" xref="S12.T11.12.12.12.12.m1.1.1">𝑤</ci></apply><cn id="S12.T11.12.12.12.12.m1.2.2.1.cmml" type="integer" xref="S12.T11.12.12.12.12.m1.2.2.1">0</cn></apply></annotation-xml><annotation encoding="application/x-tex" id="S12.T11.12.12.12.12.m1.3c">\|w\||_{0}\ </annotation><annotation encoding="application/x-llamapun" id="S12.T11.12.12.12.12.m1.3d">∥ italic_w ∥ | start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT</annotation></semantics></math></th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T11.12.12.12.15">GFLOPs</th> </tr> </thead> <tbody class="ltx_tbody"> <tr class="ltx_tr" id="S12.T11.12.12.14.1"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T11.12.12.14.1.1" rowspan="9">Baseline</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T11.12.12.14.1.2">Fern</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.14.1.3">24.89</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.14.1.4">0.816</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.14.1.5">0.166</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.14.1.6">28</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T11.12.12.14.1.7">1062</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.14.1.8">24.76</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.14.1.9">0.816</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.14.1.10">0.161</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.14.1.11">49</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T11.12.12.14.1.12">1382</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.14.1.13">24.58</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.14.1.14">0.810</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.14.1.15">0.160</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.14.1.16">95</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.14.1.17">1859</td> </tr> <tr class="ltx_tr" id="S12.T11.12.12.15.2"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.15.2.1">Flower</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.15.2.2">27.51</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.15.2.3">0.850</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.15.2.4">0.132</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.15.2.5">16</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.15.2.6">1018</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.15.2.7">27.65</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.15.2.8">0.854</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.15.2.9">0.127</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.15.2.10">28</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.15.2.11">1295</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.15.2.12">27.67</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.15.2.13">0.856</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.15.2.14">0.122</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.15.2.15">53</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.15.2.16">1690</td> </tr> <tr class="ltx_tr" id="S12.T11.12.12.16.3"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.16.3.1">Fortress</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.16.3.2">29.91</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.16.3.3">0.859</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.16.3.4">0.121</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.16.3.5">8</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.16.3.6">640</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.16.3.7">29.42</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.16.3.8">0.831</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.16.3.9">0.143</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.16.3.10">16</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.16.3.11">907</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.16.3.12">29.38</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.16.3.13">0.821</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.16.3.14">0.149</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.16.3.15">36</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.16.3.16">1407</td> </tr> <tr class="ltx_tr" id="S12.T11.12.12.17.4"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.17.4.1">Horns</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.17.4.2">27.55</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.17.4.3">0.863</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.17.4.4">0.142</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.17.4.5">19</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.17.4.6">1017</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.17.4.7">27.83</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.17.4.8">0.874</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.17.4.9">0.129</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.17.4.10">32</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.17.4.11">1258</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.17.4.12">27.86</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.17.4.13">0.878</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.17.4.14">0.120</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.17.4.15">60</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.17.4.16">1641</td> </tr> <tr class="ltx_tr" id="S12.T11.12.12.18.5"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.18.5.1">Leaves</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.18.5.2">20.96</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.18.5.3">0.737</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.18.5.4">0.181</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.18.5.5">21</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.18.5.6">915</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.18.5.7">21.06</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.18.5.8">0.744</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.18.5.9">0.167</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.18.5.10">36</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.18.5.11">1187</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.18.5.12">21.08</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.18.5.13">0.748</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.18.5.14">0.156</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.18.5.15">67</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.18.5.16">1547</td> </tr> <tr class="ltx_tr" id="S12.T11.12.12.19.6"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.19.6.1">Orchids</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.19.6.2">20.40</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.19.6.3">0.683</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.19.6.4">0.186</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.19.6.5">29</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.19.6.6">1354</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.19.6.7">20.51</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.19.6.8">0.683</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.19.6.9">0.181</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.19.6.10">49</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.19.6.11">1684</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.19.6.12">20.42</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.19.6.13">0.680</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.19.6.14">0.179</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.19.6.15">86</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.19.6.16">2096</td> </tr> <tr class="ltx_tr" id="S12.T11.12.12.20.7"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.20.7.1">Room</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.20.7.2">31.36</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.20.7.3">0.944</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.20.7.4">0.107</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.20.7.5">13</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.20.7.6">922</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.20.7.7">31.75</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.20.7.8">0.947</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.20.7.9">0.101</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.20.7.10">22</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.20.7.11">1154</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.20.7.12">31.65</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.20.7.13">0.937</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.20.7.14">0.114</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.20.7.15">43</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.20.7.16">1613</td> </tr> <tr class="ltx_tr" id="S12.T11.12.12.21.8"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.21.8.1">Trex</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.21.8.2">27.04</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.21.8.3">0.904</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.21.8.4">0.094</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.21.8.5">16</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.21.8.6">877</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.21.8.7">27.34</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.21.8.8">0.910</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.21.8.9">0.089</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.21.8.10">29</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.21.8.11">1136</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.21.8.12">27.24</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.21.8.13">0.913</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.21.8.14">0.085</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.21.8.15">57</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.21.8.16">1579</td> </tr> <tr class="ltx_tr" id="S12.T11.12.12.22.9"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T11.12.12.22.9.1">avg</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.22.9.2">26.20</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.22.9.3">0.832</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.22.9.4">0.141</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.22.9.5">19</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T11.12.12.22.9.6">976</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.22.9.7">26.29</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.22.9.8">0.832</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.22.9.9">0.137</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.22.9.10">33</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T11.12.12.22.9.11">1251</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.22.9.12">26.24</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.22.9.13">0.831</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.22.9.14">0.136</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.22.9.15">62</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.22.9.16">1679</td> </tr> <tr class="ltx_tr" id="S12.T11.12.12.23.10"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T11.12.12.23.10.1" rowspan="9">Top-1</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T11.12.12.23.10.2">Fern</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.23.10.3">24.31</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.23.10.4">0.798</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.23.10.5">0.162</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.23.10.6">16</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T11.12.12.23.10.7">932</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.23.10.8">24.45</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.23.10.9">0.804</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.23.10.10">0.149</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.23.10.11">27</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T11.12.12.23.10.12">1299</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.23.10.13">24.48</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.23.10.14">0.806</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.23.10.15">0.150</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.23.10.16">39</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.23.10.17">1518</td> </tr> <tr class="ltx_tr" id="S12.T11.12.12.24.11"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.24.11.1">Flower</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.24.11.2">27.44</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.24.11.3">0.846</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.24.11.4">0.115</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.24.11.5">12</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.24.11.6">872</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.24.11.7">27.53</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.24.11.8">0.851</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.24.11.9">0.107</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.24.11.10">19</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.24.11.11">1175</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.24.11.12">27.72</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.24.11.13">0.858</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.24.11.14">0.099</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.24.11.15">26</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.24.11.16">1518</td> </tr> <tr class="ltx_tr" id="S12.T11.12.12.25.12"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.25.12.1">Fortress</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.25.12.2">29.71</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.25.12.3">0.836</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.25.12.4">0.131</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.25.12.5">7</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.25.12.6">618</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.25.12.7">29.96</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.25.12.8">0.847</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.25.12.9">0.113</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.25.12.10">10</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.25.12.11">812</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.25.12.12">29.93</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.25.12.13">0.845</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.25.12.14">0.116</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.25.12.15">16</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.25.12.16">1531</td> </tr> <tr class="ltx_tr" id="S12.T11.12.12.26.13"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.26.13.1">Horns</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.26.13.2">27.68</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.26.13.3">0.861</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.26.13.4">0.129</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.26.13.5">12</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.26.13.6">957</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.26.13.7">28.08</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.26.13.8">0.877</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.26.13.9">0.107</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.26.13.10">18</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.26.13.11">1277</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.26.13.12">28.29</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.26.13.13">0.883</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.26.13.14">0.101</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.26.13.15">24</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.26.13.16">1460</td> </tr> <tr class="ltx_tr" id="S12.T11.12.12.27.14"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.27.14.1">Leaves</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.27.14.2">20.76</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.27.14.3">0.735</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.27.14.4">0.152</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.27.14.5">14</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.27.14.6">814</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.27.14.7">20.91</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.27.14.8">0.745</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.27.14.9">0.139</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.27.14.10">22</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.27.14.11">1109</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.27.14.12">20.95</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.27.14.13">0.747</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.27.14.14">0.131</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.27.14.15">31</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.27.14.16">1615</td> </tr> <tr class="ltx_tr" id="S12.T11.12.12.28.15"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.28.15.1">Orchids</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.28.15.2">19.68</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.28.15.3">0.658</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.28.15.4">0.165</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.28.15.5">17</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.28.15.6">986</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.28.15.7">19.71</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.28.15.8">0.659</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.28.15.9">0.159</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.28.15.10">29</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.28.15.11">1423</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.28.15.12">19.73</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.28.15.13">0.655</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.28.15.14">0.158</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.28.15.15">37</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.28.15.16">1660</td> </tr> <tr class="ltx_tr" id="S12.T11.12.12.29.16"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.29.16.1">Room</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.29.16.2">31.64</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.29.16.3">0.943</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.29.16.4">0.098</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.29.16.5">9</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.29.16.6">840</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.29.16.7">32.08</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.29.16.8">0.947</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.29.16.9">0.092</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.29.16.10">13</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.29.16.11">1193</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.29.16.12">32.40</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.29.16.13">0.947</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.29.16.14">0.093</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.29.16.15">17</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.29.16.16">1522</td> </tr> <tr class="ltx_tr" id="S12.T11.12.12.30.17"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.30.17.1">Trex</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.30.17.2">27.17</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.30.17.3">0.903</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.30.17.4">0.085</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.30.17.5">10</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.30.17.6">734</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.30.17.7">27.71</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.30.17.8">0.914</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.30.17.9">0.073</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.30.17.10">15</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.30.17.11">1006</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.30.17.12">27.92</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.30.17.13">0.918</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.30.17.14">0.067</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.30.17.15">21</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.30.17.16">1291</td> </tr> <tr class="ltx_tr" id="S12.T11.12.12.31.18"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T11.12.12.31.18.1">avg</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.31.18.2">26.05</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.31.18.3">0.823</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.31.18.4">0.130</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.31.18.5">12</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T11.12.12.31.18.6">844</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.31.18.7">26.30</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.31.18.8">0.830</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.31.18.9">0.117</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.31.18.10">19</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T11.12.12.31.18.11">1162</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.31.18.12">26.43</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.31.18.13">0.832</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.31.18.14">0.115</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.31.18.15">26</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.31.18.16">1514</td> </tr> <tr class="ltx_tr" id="S12.T11.12.12.32.19"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T11.12.12.32.19.1" rowspan="9">Top-2</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T11.12.12.32.19.2">Fern</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.32.19.3">24.34</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.32.19.4">0.801</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.32.19.5">0.156</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.32.19.6">30</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T11.12.12.32.19.7">1555</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.32.19.8">24.57</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.32.19.9">0.811</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.32.19.10">0.148</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.32.19.11">43</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T11.12.12.32.19.12">2159</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.32.19.13">24.36</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.32.19.14">0.808</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.32.19.15">0.144</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.32.19.16">62</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.32.19.17">2815</td> </tr> <tr class="ltx_tr" id="S12.T11.12.12.33.20"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.33.20.1">Flower</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.33.20.2">27.83</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.33.20.3">0.858</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.33.20.4">0.108</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.33.20.5">21</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.33.20.6">1454</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.33.20.7">27.86</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.33.20.8">0.861</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.33.20.9">0.105</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.33.20.10">27</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.33.20.11">1953</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.33.20.12">27.97</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.33.20.13">0.864</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.33.20.14">0.100</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.33.20.15">37</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.33.20.16">2467</td> </tr> <tr class="ltx_tr" id="S12.T11.12.12.34.21"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.34.21.1">Fortress</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.34.21.2">30.34</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.34.21.3">0.867</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.34.21.4">0.098</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.34.21.5">14</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.34.21.6">1030</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.34.21.7">30.18</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.34.21.8">0.859</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.34.21.9">0.105</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.34.21.10">16</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.34.21.11">1349</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.34.21.12">30.18</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.34.21.13">0.860</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.34.21.14">0.105</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.34.21.15">28</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.34.21.16">2123</td> </tr> <tr class="ltx_tr" id="S12.T11.12.12.35.22"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.35.22.1">Horns</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.35.22.2">28.05</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.35.22.3">0.874</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.35.22.4">0.118</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.35.22.5">24</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.35.22.6">1596</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.35.22.7">28.42</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.35.22.8">0.883</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.35.22.9">0.108</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.35.22.10">27</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.35.22.11">2123</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.35.22.12">28.69</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.35.22.13">0.890</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.35.22.14">0.100</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.35.22.15">30</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.35.22.16">2609</td> </tr> <tr class="ltx_tr" id="S12.T11.12.12.36.23"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.36.23.1">Leaves</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.36.23.2">20.74</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.36.23.3">0.737</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.36.23.4">0.151</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.36.23.5">27</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.36.23.6">1358</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.36.23.7">20.97</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.36.23.8">0.750</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.36.23.9">0.141</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.36.23.10">38</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.36.23.11">1844</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.36.23.12">20.99</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.36.23.13">0.752</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.36.23.14">0.133</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.36.23.15">51</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.36.23.16">2351</td> </tr> <tr class="ltx_tr" id="S12.T11.12.12.37.24"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.37.24.1">Orchids</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.37.24.2">19.64</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.37.24.3">0.654</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.37.24.4">0.166</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.37.24.5">31</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.37.24.6">1644</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.37.24.7">19.66</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.37.24.8">0.656</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.37.24.9">0.159</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.37.24.10">35</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.37.24.11">2366</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.37.24.12">19.70</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.37.24.13">0.658</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.37.24.14">0.156</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.37.24.15">55</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.37.24.16">3017</td> </tr> <tr class="ltx_tr" id="S12.T11.12.12.38.25"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.38.25.1">Room</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.38.25.2">32.25</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.38.25.3">0.950</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.38.25.4">0.087</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.38.25.5">17</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.38.25.6">1401</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.38.25.7">32.51</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.38.25.8">0.952</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.38.25.9">0.087</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.38.25.10">22</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.38.25.11">1983</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.38.25.12">32.96</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.38.25.13">0.955</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.38.25.14">0.081</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.38.25.15">29</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.38.25.16">2506</td> </tr> <tr class="ltx_tr" id="S12.T11.12.12.39.26"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.39.26.1">Trex</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.39.26.2">27.45</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.39.26.3">0.910</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.39.26.4">0.079</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.39.26.5">18</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.39.26.6">1224</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.39.26.7">27.90</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.39.26.8">0.919</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.39.26.9">0.072</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.39.26.10">22</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.39.26.11">1671</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.39.26.12">28.07</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.39.26.13">0.923</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.39.26.14">0.068</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.39.26.15">32</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.39.26.16">2174</td> </tr> <tr class="ltx_tr" id="S12.T11.12.12.40.27"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T11.12.12.40.27.1">avg</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.40.27.2">26.33</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.40.27.3">0.831</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.40.27.4">0.120</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.40.27.5">23</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T11.12.12.40.27.6">1408</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.40.27.7">26.51</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.40.27.8">0.837</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.40.27.9">0.116</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.40.27.10">29</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T11.12.12.40.27.11">1931</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.40.27.12">26.62</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.40.27.13">0.839</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.40.27.14">0.111</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.40.27.15">40</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.40.27.16">2508</td> </tr> <tr class="ltx_tr" id="S12.T11.12.12.41.28"> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r ltx_border_t" id="S12.T11.12.12.41.28.1" rowspan="9">Ens</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T11.12.12.41.28.2">Fern</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.41.28.3">24.55</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.41.28.4">0.806</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.41.28.5">0.155</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.41.28.6">38</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T11.12.12.41.28.7">1870</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.41.28.8">24.69</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.41.28.9">0.811</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.41.28.10">0.144</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.41.28.11">83</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T11.12.12.41.28.12">3444</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.41.28.13">24.72</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.41.28.14">0.813</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.41.28.15">0.143</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.41.28.16">162</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T11.12.12.41.28.17">5582</td> </tr> <tr class="ltx_tr" id="S12.T11.12.12.42.29"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.42.29.1">Flower</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.42.29.2">27.70</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.42.29.3">0.858</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.42.29.4">0.113</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.42.29.5">26</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.42.29.6">1748</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.42.29.7">27.85</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.42.29.8">0.863</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.42.29.9">0.107</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.42.29.10">53</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.42.29.11">3115</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.42.29.12">27.95</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.42.29.13">0.864</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.42.29.14">0.102</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.42.29.15">97</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.42.29.16">4892</td> </tr> <tr class="ltx_tr" id="S12.T11.12.12.43.30"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.43.30.1">Fortress</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.43.30.2">30.22</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.43.30.3">0.869</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.43.30.4">0.094</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.43.30.5">16</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.43.30.6">1239</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.43.30.7">30.43</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.43.30.8">0.874</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.43.30.9">0.081</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.43.30.10">32</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.43.30.11">2151</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.43.30.12">30.24</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.43.30.13">0.874</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.43.30.14">0.096</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.43.30.15">72</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.43.30.16">4208</td> </tr> <tr class="ltx_tr" id="S12.T11.12.12.44.31"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.44.31.1">Horns</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.44.31.2">27.94</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.44.31.3">0.876</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.44.31.4">0.117</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.44.31.5">31</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.44.31.6">1919</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.44.31.7">28.29</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.44.31.8">0.890</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.44.31.9">0.099</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.44.31.10">64</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.44.31.11">3385</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.44.31.12">28.56</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.44.31.13">0.891</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.44.31.14">0.087</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.44.31.15">115</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.44.31.16">5174</td> </tr> <tr class="ltx_tr" id="S12.T11.12.12.45.32"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.45.32.1">Leaves</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.45.32.2">20.81</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.45.32.3">0.739</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.45.32.4">0.160</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.45.32.5">31</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.45.32.6">1633</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.45.32.7">20.95</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.45.32.8">0.749</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.45.32.9">0.146</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.45.32.10">65</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.45.32.11">2940</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.45.32.12">21.01</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.45.32.13">0.750</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.45.32.14">0.137</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.45.32.15">123</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.45.32.16">4661</td> </tr> <tr class="ltx_tr" id="S12.T11.12.12.46.33"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.46.33.1">Orchids</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.46.33.2">19.86</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.46.33.3">0.666</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.46.33.4">0.173</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.46.33.5">39</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.46.33.6">1977</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.46.33.7">19.90</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.46.33.8">0.667</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.46.33.9">0.167</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.46.33.10">84</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.46.33.11">3774</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.46.33.12">19.95</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.46.33.13">0.667</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.46.33.14">0.163</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.46.33.15">154</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.46.33.16">5983</td> </tr> <tr class="ltx_tr" id="S12.T11.12.12.47.34"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.47.34.1">Room</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.47.34.2">32.15</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.47.34.3">0.951</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.47.34.4">0.087</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.47.34.5">21</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.47.34.6">1685</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.47.34.7">32.57</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.47.34.8">0.955</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.47.34.9">0.080</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.47.34.10">45</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.47.34.11">3162</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.47.34.12">33.03</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.47.34.13">0.965</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.47.34.14">0.075</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.47.34.15">83</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.47.34.16">4969</td> </tr> <tr class="ltx_tr" id="S12.T11.12.12.48.35"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.48.35.1">Trex</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.48.35.2">27.20</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.48.35.3">0.908</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.48.35.4">0.082</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.48.35.5">23</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.48.35.6">1471</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.48.35.7">27.56</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.48.35.8">0.917</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.48.35.9">0.074</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.48.35.10">49</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T11.12.12.48.35.11">2664</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.48.35.12">27.72</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.48.35.13">0.917</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.48.35.14">0.070</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.48.35.15">94</td> <td class="ltx_td ltx_align_center" id="S12.T11.12.12.48.35.16">4310</td> </tr> <tr class="ltx_tr" id="S12.T11.12.12.49.36"> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r ltx_border_t" id="S12.T11.12.12.49.36.1">avg</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T11.12.12.49.36.2">26.31</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T11.12.12.49.36.3">0.834</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T11.12.12.49.36.4">0.123</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T11.12.12.49.36.5">28</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r ltx_border_t" id="S12.T11.12.12.49.36.6">1693</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T11.12.12.49.36.7">26.53</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T11.12.12.49.36.8">0.841</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T11.12.12.49.36.9">0.112</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T11.12.12.49.36.10">59</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r ltx_border_t" id="S12.T11.12.12.49.36.11">3079</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T11.12.12.49.36.12">26.65</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T11.12.12.49.36.13">0.843</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T11.12.12.49.36.14">0.109</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T11.12.12.49.36.15">113</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T11.12.12.49.36.16">4972</td> </tr> </tbody> </table> </div> </figure> <figure class="ltx_table" id="S12.T12"> <figcaption class="ltx_caption">Table 12: Per-scene results on Synthetic-NeRF with TensorF</figcaption> <div class="ltx_inline-block ltx_transformed_outer" id="S12.T12.3" style="width:433.6pt;height:411.3pt;vertical-align:-0.0pt;"> <table class="ltx_tabular ltx_guessed_headers ltx_align_middle" id="S12.T12.3.3"> <thead class="ltx_thead"> <tr class="ltx_tr" id="S12.T12.3.3.4.1"> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T12.3.3.4.1.1" rowspan="2">Method</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T12.3.3.4.1.2" rowspan="2">Scene</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_r ltx_border_t" colspan="5" id="S12.T12.3.3.4.1.3">M=3</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_r ltx_border_t" colspan="5" id="S12.T12.3.3.4.1.4">M=4</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" colspan="5" id="S12.T12.3.3.4.1.5">M=5</th> </tr> <tr class="ltx_tr" id="S12.T12.3.3.3"> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T12.3.3.3.4">PSNR</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T12.3.3.3.5">SSIM</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T12.3.3.3.6">LPIPS</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T12.1.1.1.1"><math alttext="\|w\||_{0}" class="ltx_Math" display="inline" id="S12.T12.1.1.1.1.m1.3"><semantics id="S12.T12.1.1.1.1.m1.3a"><msub id="S12.T12.1.1.1.1.m1.3.3.1" xref="S12.T12.1.1.1.1.m1.3.3.2.cmml"><mrow id="S12.T12.1.1.1.1.m1.3.3.1.1" xref="S12.T12.1.1.1.1.m1.3.3.2.cmml"><mrow 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id="S12.T12.3.3.3.3.m1.3.3.1.1.2" stretchy="false" xref="S12.T12.3.3.3.3.m1.3.3.2.1.cmml">|</mo></mrow><mn id="S12.T12.3.3.3.3.m1.2.2.1" xref="S12.T12.3.3.3.3.m1.2.2.1.cmml">0</mn></msub><annotation-xml encoding="MathML-Content" id="S12.T12.3.3.3.3.m1.3b"><apply id="S12.T12.3.3.3.3.m1.3.3.2.cmml" xref="S12.T12.3.3.3.3.m1.3.3.1"><csymbol cd="latexml" id="S12.T12.3.3.3.3.m1.3.3.2.1.cmml" xref="S12.T12.3.3.3.3.m1.3.3.1.1.2">evaluated-at</csymbol><apply id="S12.T12.3.3.3.3.m1.3.3.1.1.1.1.cmml" xref="S12.T12.3.3.3.3.m1.3.3.1.1.1.2"><csymbol cd="latexml" id="S12.T12.3.3.3.3.m1.3.3.1.1.1.1.1.cmml" xref="S12.T12.3.3.3.3.m1.3.3.1.1.1.2.1">norm</csymbol><ci id="S12.T12.3.3.3.3.m1.1.1.cmml" xref="S12.T12.3.3.3.3.m1.1.1">𝑤</ci></apply><cn id="S12.T12.3.3.3.3.m1.2.2.1.cmml" type="integer" xref="S12.T12.3.3.3.3.m1.2.2.1">0</cn></apply></annotation-xml><annotation encoding="application/x-tex" id="S12.T12.3.3.3.3.m1.3c">\|w\||_{0}</annotation><annotation encoding="application/x-llamapun" id="S12.T12.3.3.3.3.m1.3d">∥ italic_w ∥ | start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT</annotation></semantics></math></th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T12.3.3.3.15">GFLOPs</th> </tr> </thead> <tbody class="ltx_tbody"> <tr class="ltx_tr" id="S12.T12.3.3.5.1"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T12.3.3.5.1.1" rowspan="9">Baseline</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T12.3.3.5.1.2">Lego</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.5.1.3">36.85</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.5.1.4">0.986</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.5.1.5">0.006</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.5.1.6">15</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T12.3.3.5.1.7">376</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.5.1.8">36.73</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.5.1.9">0.986</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.5.1.10">0.006</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.5.1.11">25</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T12.3.3.5.1.12">474</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.5.1.13">36.70</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.5.1.14">0.986</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.5.1.15">0.007</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.5.1.16">38</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.5.1.17">579</td> </tr> <tr class="ltx_tr" id="S12.T12.3.3.6.2"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.6.2.1">Mic</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.6.2.2">34.98</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.6.2.3">0.994</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.6.2.4">0.005</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.6.2.5">8</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.6.2.6">188</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.6.2.7">34.80</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.6.2.8">0.994</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.6.2.9">0.005</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.6.2.10">13</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.6.2.11">259</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.6.2.12">34.45</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.6.2.13">0.994</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.6.2.14">0.005</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.6.2.15">19</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.6.2.16">307</td> </tr> <tr class="ltx_tr" id="S12.T12.3.3.7.3"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.7.3.1">Chair</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.7.3.2">30.89</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.7.3.3">0.879</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.7.3.4">0.088</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.7.3.5">13</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.7.3.6">154</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.7.3.7">30.80</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.7.3.8">0.879</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.7.3.9">0.078</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.7.3.10">22</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.7.3.11">198</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.7.3.12">30.70</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.7.3.13">0.871</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.7.3.14">0.079</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.7.3.15">33</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.7.3.16">255</td> </tr> <tr class="ltx_tr" id="S12.T12.3.3.8.4"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.8.4.1">Hotdog</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.8.4.2">26.01</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.8.4.3">0.942</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.8.4.4">0.050</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.8.4.5">22</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.8.4.6">684</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.8.4.7">25.91</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.8.4.8">0.941</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.8.4.9">0.050</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.8.4.10">37</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.8.4.11">818</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.8.4.12">25.44</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.8.4.13">0.926</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.8.4.14">0.059</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.8.4.15">61</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.8.4.16">982</td> </tr> <tr class="ltx_tr" id="S12.T12.3.3.9.5"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.9.5.1">Ficus</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.9.5.2">37.51</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.9.5.3">0.981</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.9.5.4">0.014</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.9.5.5">17</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.9.5.6">348</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.9.5.7">37.42</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.9.5.8">0.981</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.9.5.9">0.013</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.9.5.10">29</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.9.5.11">406</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.9.5.12">37.28</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.9.5.13">0.980</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.9.5.14">0.014</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.9.5.15">44</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.9.5.16">455</td> </tr> <tr class="ltx_tr" id="S12.T12.3.3.10.6"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.10.6.1">Drums</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.10.6.2">35.98</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.10.6.3">0.995</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.10.6.4">0.003</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.10.6.5">15</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.10.6.6">371</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.10.6.7">35.97</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.10.6.8">0.995</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.10.6.9">0.003</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.10.6.10">25</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.10.6.11">454</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.10.6.12">35.83</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.10.6.13">0.995</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.10.6.14">0.003</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.10.6.15">31</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.10.6.16">514</td> </tr> <tr class="ltx_tr" id="S12.T12.3.3.11.7"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.11.7.1">Materials</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.11.7.2">30.06</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.11.7.3">0.937</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.11.7.4">0.039</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.11.7.5">17</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.11.7.6">1359</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.11.7.7">29.86</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.11.7.8">0.933</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.11.7.9">0.044</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.11.7.10">29</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.11.7.11">1690</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.11.7.12">29.62</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.11.7.13">0.930</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.11.7.14">0.050</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.11.7.15">46</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.11.7.16">2007</td> </tr> <tr class="ltx_tr" id="S12.T12.3.3.12.8"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.12.8.1">Ship</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.12.8.2">34.13</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.12.8.3">0.986</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.12.8.4">0.011</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.12.8.5">17</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.12.8.6">1318</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.12.8.7">34.02</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.12.8.8">0.985</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.12.8.9">0.013</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.12.8.10">30</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.12.8.11">1723</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.12.8.12">33.84</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.12.8.13">0.984</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.12.8.14">0.015</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.12.8.15">46</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.12.8.16">1988</td> </tr> <tr class="ltx_tr" id="S12.T12.3.3.13.9"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T12.3.3.13.9.1">avg</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.13.9.2">33.30</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.13.9.3">0.962</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.13.9.4">0.027</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.13.9.5">15</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T12.3.3.13.9.6">600</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.13.9.7">33.19</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.13.9.8">0.962</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.13.9.9">0.027</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.13.9.10">26</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T12.3.3.13.9.11">753</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.13.9.12">32.98</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.13.9.13">0.958</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.13.9.14">0.029</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.13.9.15">40</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.13.9.16">886</td> </tr> <tr class="ltx_tr" id="S12.T12.3.3.14.10"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T12.3.3.14.10.1" rowspan="9">Top-1</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T12.3.3.14.10.2">Lego</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.14.10.3">36.70</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.14.10.4">0.983</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.14.10.5">0.007</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.14.10.6">10</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T12.3.3.14.10.7">330</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.14.10.8">36.82</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.14.10.9">0.986</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.14.10.10">0.007</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.14.10.11">17</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T12.3.3.14.10.12">395</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.14.10.13">37.02</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.14.10.14">0.984</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.14.10.15">0.006</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.14.10.16">22</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.14.10.17">460</td> </tr> <tr class="ltx_tr" id="S12.T12.3.3.15.11"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.15.11.1">Mic</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.15.11.2">34.93</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.15.11.3">0.989</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.15.11.4">0.008</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.15.11.5">6</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.15.11.6">157</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.15.11.7">35.13</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.15.11.8">0.989</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.15.11.9">0.007</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.15.11.10">9</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.15.11.11">196</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.15.11.12">35.56</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.15.11.13">0.990</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.15.11.14">0.006</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.15.11.15">13</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.15.11.16">224</td> </tr> <tr class="ltx_tr" id="S12.T12.3.3.16.12"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.16.12.1">Chair</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.16.12.2">36.00</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.16.12.3">0.985</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.16.12.4">0.009</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.16.12.5">9</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.16.12.6">122</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.16.12.7">36.24</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.16.12.8">0.985</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.16.12.9">0.009</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.16.12.10">12</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.16.12.11">157</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.16.12.12">36.34</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.16.12.13">0.986</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.16.12.14">0.009</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.16.12.15">19</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.16.12.16">192</td> </tr> <tr class="ltx_tr" id="S12.T12.3.3.17.13"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.17.13.1">Hotdog</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.17.13.2">38.00</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.17.13.3">0.984</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.17.13.4">0.011</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.17.13.5">14</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.17.13.6">605</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.17.13.7">38.05</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.17.13.8">0.984</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.17.13.9">0.012</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.17.13.10">22</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.17.13.11">696</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.17.13.12">37.95</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.17.13.13">0.983</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.17.13.14">0.012</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.17.13.15">30</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.17.13.16">832</td> </tr> <tr class="ltx_tr" id="S12.T12.3.3.18.14"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.18.14.1">Ficus</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.18.14.2">34.31</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.18.14.3">0.983</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.18.14.4">0.012</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.18.14.5">12</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.18.14.6">323</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.18.14.7">34.43</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.18.14.8">0.986</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.18.14.9">0.012</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.18.14.10">20</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.18.14.11">379</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.18.14.12">34.57</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.18.14.13">0.984</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.18.14.14">0.011</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.18.14.15">30</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.18.14.16">412</td> </tr> <tr class="ltx_tr" id="S12.T12.3.3.19.15"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.19.15.1">Drums</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.19.15.2">25.99</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.19.15.3">0.936</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.19.15.4">0.050</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.19.15.5">9</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.19.15.6">292</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.19.15.7">26.28</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.19.15.8">0.940</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.19.15.9">0.046</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.19.15.10">15</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.19.15.11">386</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.19.15.12">26.17</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.19.15.13">0.938</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.19.15.14">0.048</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.19.15.15">23</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.19.15.16">437</td> </tr> <tr class="ltx_tr" id="S12.T12.3.3.20.16"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.20.16.1">Materials</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.20.16.2">30.52</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.20.16.3">0.957</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.20.16.4">0.021</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.20.16.5">12</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.20.16.6">1166</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.20.16.7">30.58</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.20.16.8">0.956</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.20.16.9">0.022</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.20.16.10">20</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.20.16.11">1428</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.20.16.12">30.53</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.20.16.13">0.956</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.20.16.14">0.022</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.20.16.15">26</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.20.16.16">1681</td> </tr> <tr class="ltx_tr" id="S12.T12.3.3.21.17"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.21.17.1">Ship</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.21.17.2">31.14</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.21.17.3">0.902</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.21.17.4">0.082</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.21.17.5">12</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.21.17.6">1167</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.21.17.7">31.14</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.21.17.8">0.902</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.21.17.9">0.078</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.21.17.10">15</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.21.17.11">1492</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.21.17.12">31.32</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.21.17.13">0.901</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.21.17.14">0.076</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.21.17.15">30</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.21.17.16">1615</td> </tr> <tr class="ltx_tr" id="S12.T12.3.3.22.18"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T12.3.3.22.18.1">avg</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.22.18.2">33.45</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.22.18.3">0.965</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.22.18.4">0.025</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.22.18.5">11</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T12.3.3.22.18.6">520</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.22.18.7">33.58</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.22.18.8">0.966</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.22.18.9">0.024</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.22.18.10">16</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T12.3.3.22.18.11">641</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.22.18.12">33.68</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.22.18.13">0.965</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.22.18.14">0.024</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.22.18.15">24</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.22.18.16">732</td> </tr> <tr class="ltx_tr" id="S12.T12.3.3.23.19"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T12.3.3.23.19.1" rowspan="9">Top-2</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T12.3.3.23.19.2">Lego</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.23.19.3">37.38</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.23.19.4">0.985</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.23.19.5">0.006</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.23.19.6">14</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T12.3.3.23.19.7">605</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.23.19.8">37.26</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.23.19.9">0.985</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.23.19.10">0.006</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.23.19.11">23</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T12.3.3.23.19.12">723</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.23.19.13">37.59</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.23.19.14">0.986</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.23.19.15">0.006</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.23.19.16">31</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.23.19.17">840</td> </tr> <tr class="ltx_tr" id="S12.T12.3.3.24.20"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.24.20.1">Mic</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.24.20.2">35.03</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.24.20.3">0.989</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.24.20.4">0.007</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.24.20.5">9</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.24.20.6">285</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.24.20.7">35.33</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.24.20.8">0.990</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.24.20.9">0.006</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.24.20.10">12</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.24.20.11">355</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.24.20.12">35.48</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.24.20.13">0.991</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.24.20.14">0.006</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.24.20.15">19</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.24.20.16">404</td> </tr> <tr class="ltx_tr" id="S12.T12.3.3.25.21"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.25.21.1">Chair</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.25.21.2">36.55</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.25.21.3">0.988</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.25.21.4">0.007</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.25.21.5">13</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.25.21.6">220</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.25.21.7">36.61</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.25.21.8">0.988</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.25.21.9">0.007</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.25.21.10">18</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.25.21.11">282</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.25.21.12">36.67</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.25.21.13">0.988</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.25.21.14">0.008</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.25.21.15">26</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.25.21.16">345</td> </tr> <tr class="ltx_tr" id="S12.T12.3.3.26.22"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.26.22.1">Hotdog</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.26.22.2">38.01</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.26.22.3">0.985</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.26.22.4">0.011</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.26.22.5">20</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.26.22.6">1115</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.26.22.7">38.13</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.26.22.8">0.985</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.26.22.9">0.010</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.26.22.10">30</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.26.22.11">1281</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.26.22.12">38.29</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.26.22.13">0.986</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.26.22.14">0.010</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.26.22.15">44</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.26.22.16">1530</td> </tr> <tr class="ltx_tr" id="S12.T12.3.3.27.23"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.27.23.1">Ficus</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.27.23.2">35.42</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.27.23.3">0.987</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.27.23.4">0.008</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.27.23.5">17</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.27.23.6">592</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.27.23.7">35.65</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.27.23.8">0.987</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.27.23.9">0.008</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.27.23.10">24</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.27.23.11">693</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.27.23.12">35.60</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.27.23.13">0.985</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.27.23.14">0.008</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.27.23.15">38</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.27.23.16">753</td> </tr> <tr class="ltx_tr" id="S12.T12.3.3.28.24"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.28.24.1">Drums</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.28.24.2">26.08</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.28.24.3">0.937</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.28.24.4">0.050</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.28.24.5">12</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.28.24.6">534</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.28.24.7">26.26</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.28.24.8">0.941</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.28.24.9">0.045</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.28.24.10">21</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.28.24.11">706</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.28.24.12">26.33</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.28.24.13">0.941</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.28.24.14">0.045</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.28.24.15">31</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.28.24.16">799</td> </tr> <tr class="ltx_tr" id="S12.T12.3.3.29.25"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.29.25.1">Materials</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.29.25.2">30.99</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.29.25.3">0.961</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.29.25.4">0.018</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.29.25.5">16</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.29.25.6">2155</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.29.25.7">31.17</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.29.25.8">0.963</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.29.25.9">0.017</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.29.25.10">24</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.29.25.11">2637</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.29.25.12">31.04</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.29.25.13">0.962</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.29.25.14">0.018</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.29.25.15">37</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.29.25.16">3103</td> </tr> <tr class="ltx_tr" id="S12.T12.3.3.30.26"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.30.26.1">Ship</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.30.26.2">31.21</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.30.26.3">0.903</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.30.26.4">0.081</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.30.26.5">17</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.30.26.6">2155</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.30.26.7">31.54</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.30.26.8">0.906</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.30.26.9">0.075</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.30.26.10">26</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.30.26.11">2754</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.30.26.12">31.75</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.30.26.13">0.907</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.30.26.14">0.072</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.30.26.15">37</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.30.26.16">2979</td> </tr> <tr class="ltx_tr" id="S12.T12.3.3.31.27"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T12.3.3.31.27.1">avg</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.31.27.2">33.83</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.31.27.3">0.967</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.31.27.4">0.024</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.31.27.5">15</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T12.3.3.31.27.6">958</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.31.27.7">33.99</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.31.27.8">0.968</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.31.27.9">0.022</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.31.27.10">23</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T12.3.3.31.27.11">1179</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.31.27.12">34.09</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.31.27.13">0.968</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.31.27.14">0.021</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.31.27.15">33</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.31.27.16">1344</td> </tr> <tr class="ltx_tr" id="S12.T12.3.3.32.28"> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r ltx_border_t" id="S12.T12.3.3.32.28.1" rowspan="9">Ens</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T12.3.3.32.28.2">Lego</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.32.28.3">37.27</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.32.28.4">0.985</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.32.28.5">0.006</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.32.28.6">18</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T12.3.3.32.28.7">839</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.32.28.8">37.35</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.32.28.9">0.986</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.32.28.10">0.006</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.32.28.11">31</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T12.3.3.32.28.12">1120</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.32.28.13">37.64</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.32.28.14">0.986</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.32.28.15">0.006</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.32.28.16">49</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T12.3.3.32.28.17">1402</td> </tr> <tr class="ltx_tr" id="S12.T12.3.3.33.29"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.33.29.1">Mic</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.33.29.2">35.10</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.33.29.3">0.989</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.33.29.4">0.007</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.33.29.5">11</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.33.29.6">397</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.33.29.7">35.25</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.33.29.8">0.989</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.33.29.9">0.007</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.33.29.10">19</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.33.29.11">531</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.33.29.12">35.58</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.33.29.13">0.990</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.33.29.14">0.006</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.33.29.15">30</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.33.29.16">666</td> </tr> <tr class="ltx_tr" id="S12.T12.3.3.34.30"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.34.30.1">Chair</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.34.30.2">36.52</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.34.30.3">0.987</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.34.30.4">0.008</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.34.30.5">16</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.34.30.6">307</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.34.30.7">36.62</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.34.30.8">0.988</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.34.30.9">0.008</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.34.30.10">27</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.34.30.11">411</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.34.30.12">36.75</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.34.30.13">0.988</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.34.30.14">0.007</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.34.30.15">43</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.34.30.16">516</td> </tr> <tr class="ltx_tr" id="S12.T12.3.3.35.31"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.35.31.1">Hotdog</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.35.31.2">38.02</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.35.31.3">0.985</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.35.31.4">0.011</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.35.31.5">23</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.35.31.6">1545</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.35.31.7">38.15</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.35.31.8">0.985</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.35.31.9">0.011</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.35.31.10">41</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.35.31.11">2061</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.35.31.12">38.22</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.35.31.13">0.985</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.35.31.14">0.010</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.35.31.15">67</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.35.31.16">2578</td> </tr> <tr class="ltx_tr" id="S12.T12.3.3.36.32"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.36.32.1">Ficus</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.36.32.2">34.40</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.36.32.3">0.984</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.36.32.4">0.010</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.36.32.5">20</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.36.32.6">822</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.36.32.7">34.67</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.36.32.8">0.985</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.36.32.9">0.009</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.36.32.10">35</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.36.32.11">1097</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.36.32.12">34.95</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.36.32.13">0.986</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.36.32.14">0.009</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.36.32.15">55</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.36.32.16">1374</td> </tr> <tr class="ltx_tr" id="S12.T12.3.3.37.33"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.37.33.1">Drums</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.37.33.2">26.16</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.37.33.3">0.937</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.37.33.4">0.051</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.37.33.5">14</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.37.33.6">741</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.37.33.7">26.27</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.37.33.8">0.937</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.37.33.9">0.050</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.37.33.10">25</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.37.33.11">989</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.37.33.12">26.34</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.37.33.13">0.938</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.37.33.14">0.051</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.37.33.15">39</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.37.33.16">1239</td> </tr> <tr class="ltx_tr" id="S12.T12.3.3.38.34"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.38.34.1">Materials</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.38.34.2">30.64</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.38.34.3">0.958</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.38.34.4">0.021</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.38.34.5">19</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.38.34.6">2981</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.38.34.7">30.75</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.38.34.8">0.959</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.38.34.9">0.020</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.38.34.10">33</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.38.34.11">3975</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.38.34.12">30.78</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.38.34.13">0.959</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.38.34.14">0.020</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.38.34.15">53</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.38.34.16">4971</td> </tr> <tr class="ltx_tr" id="S12.T12.3.3.39.35"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.39.35.1">Ship</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.39.35.2">31.15</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.39.35.3">0.902</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.39.35.4">0.079</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.39.35.5">20</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.39.35.6">2981</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.39.35.7">31.54</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.39.35.8">0.906</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.39.35.9">0.074</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.39.35.10">35</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T12.3.3.39.35.11">3976</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.39.35.12">31.78</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.39.35.13">0.908</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.39.35.14">0.070</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.39.35.15">56</td> <td class="ltx_td ltx_align_center" id="S12.T12.3.3.39.35.16">4971</td> </tr> <tr class="ltx_tr" id="S12.T12.3.3.40.36"> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r ltx_border_t" id="S12.T12.3.3.40.36.1">avg</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T12.3.3.40.36.2">33.66</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T12.3.3.40.36.3">0.966</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T12.3.3.40.36.4">0.024</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T12.3.3.40.36.5">18</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r ltx_border_t" id="S12.T12.3.3.40.36.6">1327</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T12.3.3.40.36.7">33.83</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T12.3.3.40.36.8">0.967</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T12.3.3.40.36.9">0.023</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T12.3.3.40.36.10">31</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r ltx_border_t" id="S12.T12.3.3.40.36.11">1770</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T12.3.3.40.36.12">34.00</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T12.3.3.40.36.13">0.968</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T12.3.3.40.36.14">0.022</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T12.3.3.40.36.15">49</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T12.3.3.40.36.16">2214</td> </tr> </tbody> </table> </div> </figure> <figure class="ltx_table" id="S12.T13"> <figcaption class="ltx_caption">Table 13: Per-scene results on NSVF with TensoRF</figcaption> <div class="ltx_inline-block ltx_transformed_outer" id="S12.T13.3" style="width:433.6pt;height:405pt;vertical-align:-0.0pt;"> <table class="ltx_tabular ltx_guessed_headers ltx_align_middle" id="S12.T13.3.3"> <thead class="ltx_thead"> <tr class="ltx_tr" id="S12.T13.3.3.4.1"> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T13.3.3.4.1.1" rowspan="2">Method</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T13.3.3.4.1.2" rowspan="2">Scene</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_r ltx_border_t" colspan="5" id="S12.T13.3.3.4.1.3">M=3</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_r ltx_border_t" colspan="5" id="S12.T13.3.3.4.1.4">M=4</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" colspan="5" id="S12.T13.3.3.4.1.5">M=5</th> </tr> <tr class="ltx_tr" id="S12.T13.3.3.3"> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T13.3.3.3.4">PSNR</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T13.3.3.3.5">SSIM</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T13.3.3.3.6">LPIPS</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T13.1.1.1.1"><math alttext="\|w\||_{0}" class="ltx_Math" display="inline" id="S12.T13.1.1.1.1.m1.3"><semantics id="S12.T13.1.1.1.1.m1.3a"><msub id="S12.T13.1.1.1.1.m1.3.3.1" xref="S12.T13.1.1.1.1.m1.3.3.2.cmml"><mrow 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class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T13.3.3.3.12">PSNR</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T13.3.3.3.13">SSIM</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T13.3.3.3.14">LPIPS</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T13.3.3.3.3"><math alttext="\|w\||_{0}" class="ltx_Math" display="inline" id="S12.T13.3.3.3.3.m1.3"><semantics id="S12.T13.3.3.3.3.m1.3a"><msub id="S12.T13.3.3.3.3.m1.3.3.1" xref="S12.T13.3.3.3.3.m1.3.3.2.cmml"><mrow id="S12.T13.3.3.3.3.m1.3.3.1.1" xref="S12.T13.3.3.3.3.m1.3.3.2.cmml"><mrow id="S12.T13.3.3.3.3.m1.3.3.1.1.1.2" xref="S12.T13.3.3.3.3.m1.3.3.1.1.1.1.cmml"><mo id="S12.T13.3.3.3.3.m1.3.3.1.1.1.2.1" stretchy="false" xref="S12.T13.3.3.3.3.m1.3.3.1.1.1.1.1.cmml">‖</mo><mi id="S12.T13.3.3.3.3.m1.1.1" xref="S12.T13.3.3.3.3.m1.1.1.cmml">w</mi><mo id="S12.T13.3.3.3.3.m1.3.3.1.1.1.2.2" stretchy="false" xref="S12.T13.3.3.3.3.m1.3.3.1.1.1.1.1.cmml">‖</mo></mrow><mo id="S12.T13.3.3.3.3.m1.3.3.1.1.2" stretchy="false" xref="S12.T13.3.3.3.3.m1.3.3.2.1.cmml">|</mo></mrow><mn id="S12.T13.3.3.3.3.m1.2.2.1" xref="S12.T13.3.3.3.3.m1.2.2.1.cmml">0</mn></msub><annotation-xml encoding="MathML-Content" id="S12.T13.3.3.3.3.m1.3b"><apply id="S12.T13.3.3.3.3.m1.3.3.2.cmml" xref="S12.T13.3.3.3.3.m1.3.3.1"><csymbol cd="latexml" id="S12.T13.3.3.3.3.m1.3.3.2.1.cmml" xref="S12.T13.3.3.3.3.m1.3.3.1.1.2">evaluated-at</csymbol><apply id="S12.T13.3.3.3.3.m1.3.3.1.1.1.1.cmml" xref="S12.T13.3.3.3.3.m1.3.3.1.1.1.2"><csymbol cd="latexml" id="S12.T13.3.3.3.3.m1.3.3.1.1.1.1.1.cmml" xref="S12.T13.3.3.3.3.m1.3.3.1.1.1.2.1">norm</csymbol><ci id="S12.T13.3.3.3.3.m1.1.1.cmml" xref="S12.T13.3.3.3.3.m1.1.1">𝑤</ci></apply><cn id="S12.T13.3.3.3.3.m1.2.2.1.cmml" type="integer" xref="S12.T13.3.3.3.3.m1.2.2.1">0</cn></apply></annotation-xml><annotation encoding="application/x-tex" id="S12.T13.3.3.3.3.m1.3c">\|w\||_{0}</annotation><annotation encoding="application/x-llamapun" id="S12.T13.3.3.3.3.m1.3d">∥ italic_w ∥ | start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT</annotation></semantics></math></th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T13.3.3.3.15">GFLOPs</th> </tr> </thead> <tbody class="ltx_tbody"> <tr class="ltx_tr" id="S12.T13.3.3.5.1"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T13.3.3.5.1.1" rowspan="9">Baseline</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T13.3.3.5.1.2">Bike</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.5.1.3">39.48</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.5.1.4">0.996</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.5.1.5">0.003</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.5.1.6">14</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T13.3.3.5.1.7">304</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.5.1.8">39.25</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.5.1.9">0.996</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.5.1.10">0.003</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.5.1.11">23</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T13.3.3.5.1.12">362</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.5.1.13">38.59</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.5.1.14">0.995</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.5.1.15">0.004</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.5.1.16">35</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.5.1.17">421</td> </tr> <tr class="ltx_tr" id="S12.T13.3.3.6.2"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.6.2.1">Lifestyle</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.6.2.2">34.76</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.6.2.3">0.975</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.6.2.4">0.015</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.6.2.5">18</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.6.2.6">680</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.6.2.7">34.71</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.6.2.8">0.974</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.6.2.9">0.016</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.6.2.10">30</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.6.2.11">833</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.6.2.12">34.53</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.6.2.13">0.973</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.6.2.14">0.019</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.6.2.15">45</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.6.2.16">990</td> </tr> <tr class="ltx_tr" id="S12.T13.3.3.7.3"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.7.3.1">Palace</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.7.3.2">38.20</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.7.3.3">0.983</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.7.3.4">0.008</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.7.3.5">15</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.7.3.6">541</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.7.3.7">38.51</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.7.3.8">0.984</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.7.3.9">0.008</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.7.3.10">25</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.7.3.11">671</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.7.3.12">38.60</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.7.3.13">0.984</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.7.3.14">0.007</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.7.3.15">38</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.7.3.16">803</td> </tr> <tr class="ltx_tr" id="S12.T13.3.3.8.4"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.8.4.1">Robot</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.8.4.2">38.86</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.8.4.3">0.997</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.8.4.4">0.002</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.8.4.5">13</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.8.4.6">229</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.8.4.7">38.98</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.8.4.8">0.997</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.8.4.9">0.002</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.8.4.10">21</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.8.4.11">286</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.8.4.12">38.81</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.8.4.13">0.997</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.8.4.14">0.002</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.8.4.15">30</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.8.4.16">347</td> </tr> <tr class="ltx_tr" id="S12.T13.3.3.9.5"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.9.5.1">Spaceship</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.9.5.2">38.68</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.9.5.3">0.993</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.9.5.4">0.006</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.9.5.5">15</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.9.5.6">487</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.9.5.7">38.23</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.9.5.8">0.990</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.9.5.9">0.010</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.9.5.10">25</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.9.5.11">593</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.9.5.12">37.51</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.9.5.13">0.986</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.9.5.14">0.017</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.9.5.15">39</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.9.5.16">689</td> </tr> <tr class="ltx_tr" id="S12.T13.3.3.10.6"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.10.6.1">Streamtrain</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.10.6.2">38.03</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.10.6.3">0.993</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.10.6.4">0.008</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.10.6.5">20</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.10.6.6">536</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.10.6.7">37.99</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.10.6.8">0.994</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.10.6.9">0.007</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.10.6.10">33</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.10.6.11">673</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.10.6.12">37.61</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.10.6.13">0.993</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.10.6.14">0.006</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.10.6.15">51</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.10.6.16">806</td> </tr> <tr class="ltx_tr" id="S12.T13.3.3.11.7"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.11.7.1">Toad</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.11.7.2">35.43</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.11.7.3">0.950</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.11.7.4">0.029</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.11.7.5">21</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.11.7.6">564</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.11.7.7">35.79</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.11.7.8">0.947</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.11.7.9">0.029</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.11.7.10">36</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.11.7.11">710</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.11.7.12">35.81</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.11.7.13">0.949</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.11.7.14">0.028</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.11.7.15">55</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.11.7.16">872</td> </tr> <tr class="ltx_tr" id="S12.T13.3.3.12.8"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.12.8.1">Wineholder</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.12.8.2">31.84</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.12.8.3">0.968</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.12.8.4">0.021</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.12.8.5">17</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.12.8.6">474</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.12.8.7">32.11</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.12.8.8">0.969</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.12.8.9">0.019</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.12.8.10">29</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.12.8.11">601</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.12.8.12">32.11</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.12.8.13">0.968</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.12.8.14">0.020</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.12.8.15">44</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.12.8.16">721</td> </tr> <tr class="ltx_tr" id="S12.T13.3.3.13.9"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T13.3.3.13.9.1">avg</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.13.9.2">36.91</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.13.9.3">0.982</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.13.9.4">0.011</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.13.9.5">17</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T13.3.3.13.9.6">477</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.13.9.7">36.95</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.13.9.8">0.981</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.13.9.9">0.012</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.13.9.10">28</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T13.3.3.13.9.11">591</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.13.9.12">36.70</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.13.9.13">0.981</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.13.9.14">0.013</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.13.9.15">42</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.13.9.16">706</td> </tr> <tr class="ltx_tr" id="S12.T13.3.3.14.10"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T13.3.3.14.10.1" rowspan="9">Top-1</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T13.3.3.14.10.2">Bike</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.14.10.3">39.97</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.14.10.4">0.993</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.14.10.5">0.002</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.14.10.6">9</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T13.3.3.14.10.7">264</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.14.10.8">40.06</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.14.10.9">0.993</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.14.10.10">0.002</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.14.10.11">16</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T13.3.3.14.10.12">321</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.14.10.13">40.16</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.14.10.14">0.994</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.14.10.15">0.002</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.14.10.16">24</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.14.10.17">362</td> </tr> <tr class="ltx_tr" id="S12.T13.3.3.15.11"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.15.11.1">Lifestyle</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.15.11.2">35.23</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.15.11.3">0.971</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.15.11.4">0.018</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.15.11.5">11</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.15.11.6">598</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.15.11.7">35.09</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.15.11.8">0.970</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.15.11.9">0.019</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.15.11.10">20</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.15.11.11">719</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.15.11.12">35.23</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.15.11.13">0.972</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.15.11.14">0.017</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.15.11.15">29</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.15.11.16">823</td> </tr> <tr class="ltx_tr" id="S12.T13.3.3.16.12"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.16.12.1">Palace</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.16.12.2">37.23</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.16.12.3">0.978</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.16.12.4">0.012</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.16.12.5">9</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.16.12.6">469</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.16.12.7">38.00</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.16.12.8">0.980</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.16.12.9">0.011</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.16.12.10">18</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.16.12.11">584</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.16.12.12">38.64</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.16.12.13">0.982</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.16.12.14">0.009</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.16.12.15">25</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.16.12.16">651</td> </tr> <tr class="ltx_tr" id="S12.T13.3.3.17.13"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.17.13.1">Robot</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.17.13.2">38.61</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.17.13.3">0.994</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.17.13.4">0.003</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.17.13.5">9</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.17.13.6">199</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.17.13.7">38.89</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.17.13.8">0.994</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.17.13.9">0.003</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.17.13.10">16</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.17.13.11">238</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.17.13.12">39.04</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.17.13.13">0.995</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.17.13.14">0.003</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.17.13.15">24</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.17.13.16">271</td> </tr> <tr class="ltx_tr" id="S12.T13.3.3.18.14"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.18.14.1">Spaceship</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.18.14.2">39.34</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.18.14.3">0.990</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.18.14.4">0.007</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.18.14.5">9</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.18.14.6">415</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.18.14.7">39.50</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.18.14.8">0.990</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.18.14.9">0.007</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.18.14.10">18</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.18.14.11">514</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.18.14.12">39.56</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.18.14.13">0.990</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.18.14.14">0.007</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.18.14.15">28</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.18.14.16">588</td> </tr> <tr class="ltx_tr" id="S12.T13.3.3.19.15"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.19.15.1">Streamtrain</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.19.15.2">38.49</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.19.15.3">0.992</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.19.15.4">0.005</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.19.15.5">12</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.19.15.6">469</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.19.15.7">38.57</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.19.15.8">0.992</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.19.15.9">0.005</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.19.15.10">22</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.19.15.11">565</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.19.15.12">38.59</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.19.15.13">0.992</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.19.15.14">0.005</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.19.15.15">30</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.19.15.16">642</td> </tr> <tr class="ltx_tr" id="S12.T13.3.3.20.16"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.20.16.1">Toad</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.20.16.2">35.01</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.20.16.3">0.978</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.20.16.4">0.015</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.20.16.5">12</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.20.16.6">463</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.20.16.7">34.83</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.20.16.8">0.977</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.20.16.9">0.017</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.20.16.10">19</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.20.16.11">585</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.20.16.12">35.51</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.20.16.13">0.981</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.20.16.14">0.014</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.20.16.15">34</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.20.16.16">682</td> </tr> <tr class="ltx_tr" id="S12.T13.3.3.21.17"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.21.17.1">Wineholder</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.21.17.2">32.00</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.21.17.3">0.965</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.21.17.4">0.020</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.21.17.5">9</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.21.17.6">437</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.21.17.7">32.53</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.21.17.8">0.967</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.21.17.9">0.019</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.21.17.10">20</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.21.17.11">505</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.21.17.12">32.46</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.21.17.13">0.968</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.21.17.14">0.018</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.21.17.15">29</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.21.17.16">577</td> </tr> <tr class="ltx_tr" id="S12.T13.3.3.22.18"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T13.3.3.22.18.1">avg</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.22.18.2">36.98</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.22.18.3">0.983</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.22.18.4">0.010</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.22.18.5">10</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T13.3.3.22.18.6">414</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.22.18.7">37.18</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.22.18.8">0.983</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.22.18.9">0.010</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.22.18.10">19</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T13.3.3.22.18.11">504</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.22.18.12">37.40</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.22.18.13">0.984</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.22.18.14">0.009</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.22.18.15">28</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.22.18.16">575</td> </tr> <tr class="ltx_tr" id="S12.T13.3.3.23.19"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T13.3.3.23.19.1" rowspan="9">Top-2</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T13.3.3.23.19.2">Bike</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.23.19.3">40.44</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.23.19.4">0.994</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.23.19.5">0.002</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.23.19.6">13</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T13.3.3.23.19.7">482</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.23.19.8">40.61</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.23.19.9">0.994</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.23.19.10">0.002</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.23.19.11">23</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T13.3.3.23.19.12">586</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.23.19.13">40.49</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.23.19.14">0.994</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.23.19.15">0.002</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.23.19.16">34</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.23.19.17">660</td> </tr> <tr class="ltx_tr" id="S12.T13.3.3.24.20"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.24.20.1">Lifestyle</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.24.20.2">35.52</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.24.20.3">0.973</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.24.20.4">0.017</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.24.20.5">15</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.24.20.6">1101</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.24.20.7">35.70</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.24.20.8">0.974</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.24.20.9">0.016</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.24.20.10">25</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.24.20.11">1322</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.24.20.12">35.75</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.24.20.13">0.974</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.24.20.14">0.016</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.24.20.15">39</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.24.20.16">1513</td> </tr> <tr class="ltx_tr" id="S12.T13.3.3.25.21"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.25.21.1">Palace</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.25.21.2">38.34</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.25.21.3">0.982</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.25.21.4">0.009</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.25.21.5">15</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.25.21.6">862</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.25.21.7">39.02</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.25.21.8">0.984</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.25.21.9">0.008</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.25.21.10">24</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.25.21.11">1071</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.25.21.12">39.35</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.25.21.13">0.986</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.25.21.14">0.007</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.25.21.15">34</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.25.21.16">1194</td> </tr> <tr class="ltx_tr" id="S12.T13.3.3.26.22"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.26.22.1">Robot</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.26.22.2">39.37</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.26.22.3">0.995</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.26.22.4">0.002</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.26.22.5">15</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.26.22.6">361</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.26.22.7">39.66</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.26.22.8">0.995</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.26.22.9">0.002</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.26.22.10">23</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.26.22.11">432</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.26.22.12">39.88</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.26.22.13">0.996</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.26.22.14">0.002</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.26.22.15">34</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.26.22.16">492</td> </tr> <tr class="ltx_tr" id="S12.T13.3.3.27.23"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.27.23.1">Spaceship</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.27.23.2">39.90</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.27.23.3">0.991</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.27.23.4">0.006</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.27.23.5">13</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.27.23.6">764</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.27.23.7">39.91</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.27.23.8">0.991</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.27.23.9">0.006</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.27.23.10">23</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.27.23.11">944</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.27.23.12">39.87</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.27.23.13">0.991</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.27.23.14">0.006</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.27.23.15">35</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.27.23.16">1079</td> </tr> <tr class="ltx_tr" id="S12.T13.3.3.28.24"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.28.24.1">Streamtrain</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.28.24.2">38.65</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.28.24.3">0.992</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.28.24.4">0.005</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.28.24.5">18</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.28.24.6">862</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.28.24.7">38.48</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.28.24.8">0.992</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.28.24.9">0.005</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.28.24.10">32</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.28.24.11">1038</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.28.24.12">38.75</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.28.24.13">0.993</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.28.24.14">0.005</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.28.24.15">40</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.28.24.16">1177</td> </tr> <tr class="ltx_tr" id="S12.T13.3.3.29.25"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.29.25.1">Toad</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.29.25.2">35.95</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.29.25.3">0.982</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.29.25.4">0.012</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.29.25.5">18</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.29.25.6">850</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.29.25.7">36.30</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.29.25.8">0.984</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.29.25.9">0.011</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.29.25.10">31</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.29.25.11">1074</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.29.25.12">36.60</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.29.25.13">0.985</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.29.25.14">0.010</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.29.25.15">48</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.29.25.16">1251</td> </tr> <tr class="ltx_tr" id="S12.T13.3.3.30.26"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.30.26.1">Wineholder</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.30.26.2">32.48</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.30.26.3">0.968</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.30.26.4">0.019</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.30.26.5">16</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.30.26.6">803</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.30.26.7">32.81</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.30.26.8">0.970</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.30.26.9">0.017</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.30.26.10">26</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.30.26.11">927</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.30.26.12">33.12</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.30.26.13">0.972</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.30.26.14">0.016</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.30.26.15">38</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.30.26.16">1056</td> </tr> <tr class="ltx_tr" id="S12.T13.3.3.31.27"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T13.3.3.31.27.1">avg</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.31.27.2">37.58</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.31.27.3">0.985</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.31.27.4">0.009</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.31.27.5">15</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T13.3.3.31.27.6">761</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.31.27.7">37.81</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.31.27.8">0.986</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.31.27.9">0.008</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.31.27.10">26</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T13.3.3.31.27.11">924</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.31.27.12">37.98</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.31.27.13">0.986</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.31.27.14">0.008</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.31.27.15">38</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.31.27.16">1053</td> </tr> <tr class="ltx_tr" id="S12.T13.3.3.32.28"> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r ltx_border_t" id="S12.T13.3.3.32.28.1" rowspan="9">Ens</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T13.3.3.32.28.2">Bike</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.32.28.3">40.41</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.32.28.4">0.994</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.32.28.5">0.002</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.32.28.6">18</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T13.3.3.32.28.7">671</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.32.28.8">40.66</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.32.28.9">0.994</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.32.28.10">0.002</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.32.28.11">30</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T13.3.3.32.28.12">897</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.32.28.13">40.76</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.32.28.14">0.994</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.32.28.15">0.002</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.32.28.16">46</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T13.3.3.32.28.17">1124</td> </tr> <tr class="ltx_tr" id="S12.T13.3.3.33.29"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.33.29.1">Lifestyle</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.33.29.2">35.55</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.33.29.3">0.973</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.33.29.4">0.017</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.33.29.5">20</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.33.29.6">1525</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.33.29.7">35.79</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.33.29.8">0.975</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.33.29.9">0.015</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.33.29.10">34</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.33.29.11">2035</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.33.29.12">35.95</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.33.29.13">0.976</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.33.29.14">0.014</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.33.29.15">55</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.33.29.16">2545</td> </tr> <tr class="ltx_tr" id="S12.T13.3.3.34.30"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.34.30.1">Palace</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.34.30.2">38.40</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.34.30.3">0.983</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.34.30.4">0.009</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.34.30.5">19</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.34.30.6">1194</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.34.30.7">38.99</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.34.30.8">0.985</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.34.30.9">0.008</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.34.30.10">33</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.34.30.11">1593</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.34.30.12">39.41</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.34.30.13">0.986</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.34.30.14">0.007</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.34.30.15">51</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.34.30.16">1992</td> </tr> <tr class="ltx_tr" id="S12.T13.3.3.35.31"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.35.31.1">Robot</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.35.31.2">39.35</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.35.31.3">0.995</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.35.31.4">0.002</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.35.31.5">19</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.35.31.6">503</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.35.31.7">39.66</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.35.31.8">0.995</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.35.31.9">0.002</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.35.31.10">33</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.35.31.11">672</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.35.31.12">39.83</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.35.31.13">0.996</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.35.31.14">0.002</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.35.31.15">52</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.35.31.16">843</td> </tr> <tr class="ltx_tr" id="S12.T13.3.3.36.32"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.36.32.1">Spaceship</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.36.32.2">39.85</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.36.32.3">0.991</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.36.32.4">0.006</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.36.32.5">17</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.36.32.6">1060</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.36.32.7">40.08</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.36.32.8">0.991</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.36.32.9">0.006</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.36.32.10">29</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.36.32.11">1415</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.36.32.12">40.18</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.36.32.13">0.992</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.36.32.14">0.005</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.36.32.15">46</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.36.32.16">1771</td> </tr> <tr class="ltx_tr" id="S12.T13.3.3.37.33"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.37.33.1">Streamtrain</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.37.33.2">38.38</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.37.33.3">0.992</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.37.33.4">0.006</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.37.33.5">23</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.37.33.6">1197</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.37.33.7">38.48</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.37.33.8">0.992</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.37.33.9">0.005</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.37.33.10">40</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.37.33.11">1598</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.37.33.12">38.58</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.37.33.13">0.992</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.37.33.14">0.005</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.37.33.15">64</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.37.33.16">2000</td> </tr> <tr class="ltx_tr" id="S12.T13.3.3.38.34"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.38.34.1">Toad</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.38.34.2">36.07</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.38.34.3">0.983</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.38.34.4">0.012</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.38.34.5">23</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.38.34.6">1179</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.38.34.7">36.55</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.38.34.8">0.985</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.38.34.9">0.010</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.38.34.10">40</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.38.34.11">1573</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.38.34.12">36.89</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.38.34.13">0.986</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.38.34.14">0.009</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.38.34.15">64</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.38.34.16">1968</td> </tr> <tr class="ltx_tr" id="S12.T13.3.3.39.35"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.39.35.1">Wineholder</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.39.35.2">32.28</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.39.35.3">0.967</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.39.35.4">0.020</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.39.35.5">21</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.39.35.6">1114</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.39.35.7">32.57</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.39.35.8">0.969</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.39.35.9">0.019</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.39.35.10">37</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T13.3.3.39.35.11">1486</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.39.35.12">33.06</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.39.35.13">0.972</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.39.35.14">0.016</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.39.35.15">58</td> <td class="ltx_td ltx_align_center" id="S12.T13.3.3.39.35.16">1860</td> </tr> <tr class="ltx_tr" id="S12.T13.3.3.40.36"> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r ltx_border_t" id="S12.T13.3.3.40.36.1">avg</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T13.3.3.40.36.2">37.54</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T13.3.3.40.36.3">0.985</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T13.3.3.40.36.4">0.009</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T13.3.3.40.36.5">20</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r ltx_border_t" id="S12.T13.3.3.40.36.6">1055</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T13.3.3.40.36.7">37.85</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T13.3.3.40.36.8">0.986</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T13.3.3.40.36.9">0.008</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T13.3.3.40.36.10">35</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r ltx_border_t" id="S12.T13.3.3.40.36.11">1408</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T13.3.3.40.36.12">38.08</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T13.3.3.40.36.13">0.987</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T13.3.3.40.36.14">0.008</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T13.3.3.40.36.15">54</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T13.3.3.40.36.16">1763</td> </tr> </tbody> </table> </div> </figure> <figure class="ltx_table" id="S12.T14"> <figcaption class="ltx_caption">Table 14: Per-scene results on TanksAndTemple with TensoRF</figcaption> <div class="ltx_inline-block ltx_transformed_outer" id="S12.T14.3" style="width:433.6pt;height:278.9pt;vertical-align:-0.0pt;"> <table class="ltx_tabular ltx_guessed_headers ltx_align_middle" id="S12.T14.3.3"> <thead class="ltx_thead"> <tr class="ltx_tr" id="S12.T14.3.3.4.1"> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T14.3.3.4.1.1" rowspan="2">Method</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T14.3.3.4.1.2" rowspan="2">Scene</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_r ltx_border_t" colspan="5" id="S12.T14.3.3.4.1.3">M=3</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_r ltx_border_t" colspan="5" id="S12.T14.3.3.4.1.4">M=4</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" colspan="5" id="S12.T14.3.3.4.1.5">M=5</th> </tr> <tr class="ltx_tr" id="S12.T14.3.3.3"> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T14.3.3.3.4">PSNR</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T14.3.3.3.5">SSIM</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T14.3.3.3.6">LPIPS</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T14.1.1.1.1"><math alttext="\|w\||_{0}" class="ltx_Math" display="inline" 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ltx_border_t" id="S12.T14.3.3.3.9">SSIM</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T14.3.3.3.10">LPIPS</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T14.2.2.2.2"><math alttext="\|w\||_{0}" class="ltx_Math" display="inline" id="S12.T14.2.2.2.2.m1.3"><semantics id="S12.T14.2.2.2.2.m1.3a"><msub id="S12.T14.2.2.2.2.m1.3.3.1" xref="S12.T14.2.2.2.2.m1.3.3.2.cmml"><mrow id="S12.T14.2.2.2.2.m1.3.3.1.1" xref="S12.T14.2.2.2.2.m1.3.3.2.cmml"><mrow id="S12.T14.2.2.2.2.m1.3.3.1.1.1.2" xref="S12.T14.2.2.2.2.m1.3.3.1.1.1.1.cmml"><mo id="S12.T14.2.2.2.2.m1.3.3.1.1.1.2.1" stretchy="false" xref="S12.T14.2.2.2.2.m1.3.3.1.1.1.1.1.cmml">‖</mo><mi id="S12.T14.2.2.2.2.m1.1.1" xref="S12.T14.2.2.2.2.m1.1.1.cmml">w</mi><mo id="S12.T14.2.2.2.2.m1.3.3.1.1.1.2.2" stretchy="false" xref="S12.T14.2.2.2.2.m1.3.3.1.1.1.1.1.cmml">‖</mo></mrow><mo id="S12.T14.2.2.2.2.m1.3.3.1.1.2" stretchy="false" 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end_POSTSUBSCRIPT</annotation></semantics></math></th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_r ltx_border_t" id="S12.T14.3.3.3.11">GFLOPs</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T14.3.3.3.12">PSNR</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T14.3.3.3.13">SSIM</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T14.3.3.3.14">LPIPS</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T14.3.3.3.3"><math alttext="\|w\||_{0}" class="ltx_Math" display="inline" id="S12.T14.3.3.3.3.m1.3"><semantics id="S12.T14.3.3.3.3.m1.3a"><msub id="S12.T14.3.3.3.3.m1.3.3.1" xref="S12.T14.3.3.3.3.m1.3.3.2.cmml"><mrow id="S12.T14.3.3.3.3.m1.3.3.1.1" xref="S12.T14.3.3.3.3.m1.3.3.2.cmml"><mrow id="S12.T14.3.3.3.3.m1.3.3.1.1.1.2" xref="S12.T14.3.3.3.3.m1.3.3.1.1.1.1.cmml"><mo id="S12.T14.3.3.3.3.m1.3.3.1.1.1.2.1" stretchy="false" xref="S12.T14.3.3.3.3.m1.3.3.1.1.1.1.1.cmml">‖</mo><mi id="S12.T14.3.3.3.3.m1.1.1" xref="S12.T14.3.3.3.3.m1.1.1.cmml">w</mi><mo id="S12.T14.3.3.3.3.m1.3.3.1.1.1.2.2" stretchy="false" xref="S12.T14.3.3.3.3.m1.3.3.1.1.1.1.1.cmml">‖</mo></mrow><mo id="S12.T14.3.3.3.3.m1.3.3.1.1.2" stretchy="false" xref="S12.T14.3.3.3.3.m1.3.3.2.1.cmml">|</mo></mrow><mn id="S12.T14.3.3.3.3.m1.2.2.1" xref="S12.T14.3.3.3.3.m1.2.2.1.cmml">0</mn></msub><annotation-xml encoding="MathML-Content" id="S12.T14.3.3.3.3.m1.3b"><apply id="S12.T14.3.3.3.3.m1.3.3.2.cmml" xref="S12.T14.3.3.3.3.m1.3.3.1"><csymbol cd="latexml" id="S12.T14.3.3.3.3.m1.3.3.2.1.cmml" xref="S12.T14.3.3.3.3.m1.3.3.1.1.2">evaluated-at</csymbol><apply id="S12.T14.3.3.3.3.m1.3.3.1.1.1.1.cmml" xref="S12.T14.3.3.3.3.m1.3.3.1.1.1.2"><csymbol cd="latexml" id="S12.T14.3.3.3.3.m1.3.3.1.1.1.1.1.cmml" xref="S12.T14.3.3.3.3.m1.3.3.1.1.1.2.1">norm</csymbol><ci id="S12.T14.3.3.3.3.m1.1.1.cmml" xref="S12.T14.3.3.3.3.m1.1.1">𝑤</ci></apply><cn 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id="S12.T14.3.3.5.1.5">0.191</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.5.1.6">3</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T14.3.3.5.1.7">3155</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.5.1.8">25.83</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.5.1.9">0.847</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.5.1.10">0.177</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.5.1.11">5</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T14.3.3.5.1.12">3674</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.5.1.13">25.82</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.5.1.14">0.845</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.5.1.15">0.172</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.5.1.16">7</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.5.1.17">4557</td> </tr> <tr class="ltx_tr" id="S12.T14.3.3.6.2"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T14.3.3.6.2.1">Family</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.6.2.2">34.20</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.6.2.3">0.963</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.6.2.4">0.059</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.6.2.5">5</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T14.3.3.6.2.6">3071</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.6.2.7">34.21</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.6.2.8">0.963</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.6.2.9">0.053</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.6.2.10">8</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T14.3.3.6.2.11">3578</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.6.2.12">33.94</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.6.2.13">0.963</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.6.2.14">0.050</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.6.2.15">13</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.6.2.16">4366</td> </tr> <tr class="ltx_tr" id="S12.T14.3.3.7.3"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T14.3.3.7.3.1">Barn</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.7.3.2">27.59</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.7.3.3">0.949</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.7.3.4">0.076</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.7.3.5">0</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T14.3.3.7.3.6">1841</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.7.3.7">27.68</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.7.3.8">0.951</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.7.3.9">0.066</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.7.3.10">1</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T14.3.3.7.3.11">2489</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.7.3.12">27.68</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.7.3.13">0.951</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.7.3.14">0.064</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.7.3.15">1</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.7.3.16">2917</td> </tr> <tr class="ltx_tr" id="S12.T14.3.3.8.4"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T14.3.3.8.4.1">Truck</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.8.4.2">26.84</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.8.4.3">0.859</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.8.4.4">0.223</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.8.4.5">3</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T14.3.3.8.4.6">2386</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.8.4.7">26.60</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.8.4.8">0.852</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.8.4.9">0.227</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.8.4.10">4</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T14.3.3.8.4.11">3004</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.8.4.12">26.47</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.8.4.13">0.845</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.8.4.14">0.214</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.8.4.15">6</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.8.4.16">3743</td> </tr> <tr class="ltx_tr" id="S12.T14.3.3.9.5"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T14.3.3.9.5.1">Ignatius</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.9.5.2">28.47</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.9.5.3">0.915</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.9.5.4">0.132</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.9.5.5">3</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T14.3.3.9.5.6">1441</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.9.5.7">28.42</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.9.5.8">0.917</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.9.5.9">0.126</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.9.5.10">6</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T14.3.3.9.5.11">1830</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.9.5.12">28.29</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.9.5.13">0.918</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.9.5.14">0.116</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.9.5.15">10</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.9.5.16">2253</td> </tr> <tr class="ltx_tr" id="S12.T14.3.3.10.6"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T14.3.3.10.6.1">avg</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.10.6.2">28.65</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.10.6.3">0.906</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.10.6.4">0.136</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.10.6.5">3</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T14.3.3.10.6.6">2379</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.10.6.7">28.55</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.10.6.8">0.906</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.10.6.9">0.130</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.10.6.10">5</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T14.3.3.10.6.11">2915</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.10.6.12">28.44</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.10.6.13">0.905</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.10.6.14">0.123</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.10.6.15">7</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.10.6.16">3567</td> </tr> <tr class="ltx_tr" id="S12.T14.3.3.11.7"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T14.3.3.11.7.1" rowspan="6">Top-1</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T14.3.3.11.7.2">Caterpillar</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.11.7.3">26.46</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.11.7.4">0.914</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.11.7.5">0.125</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.11.7.6">5</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T14.3.3.11.7.7">2018</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.11.7.8">26.45</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.11.7.9">0.914</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.11.7.10">0.122</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.11.7.11">7</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T14.3.3.11.7.12">2423</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.11.7.13">26.41</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.11.7.14">0.916</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.11.7.15">0.116</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.11.7.16">9</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.11.7.17">2839</td> </tr> <tr class="ltx_tr" id="S12.T14.3.3.12.8"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T14.3.3.12.8.1">Family</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.12.8.2">34.08</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.12.8.3">0.965</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.12.8.4">0.050</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.12.8.5">3</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T14.3.3.12.8.6">1548</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.12.8.7">34.08</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.12.8.8">0.966</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.12.8.9">0.048</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.12.8.10">4</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T14.3.3.12.8.11">1775</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.12.8.12">34.27</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.12.8.13">0.968</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.12.8.14">0.044</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.12.8.15">5</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.12.8.16">2318</td> </tr> <tr class="ltx_tr" id="S12.T14.3.3.13.9"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T14.3.3.13.9.1">Barn</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.13.9.2">27.75</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.13.9.3">0.868</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.13.9.4">0.194</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.13.9.5">6</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T14.3.3.13.9.6">3183</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.13.9.7">27.75</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.13.9.8">0.874</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.13.9.9">0.180</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.13.9.10">8</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T14.3.3.13.9.11">3377</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.13.9.12">27.57</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.13.9.13">0.872</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.13.9.14">0.187</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.13.9.15">11</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.13.9.16">3455</td> </tr> <tr class="ltx_tr" id="S12.T14.3.3.14.10"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T14.3.3.14.10.1">Truck</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.14.10.2">27.28</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.14.10.3">0.915</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.14.10.4">0.119</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.14.10.5">5</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T14.3.3.14.10.6">2703</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.14.10.7">27.15</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.14.10.8">0.917</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.14.10.9">0.110</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.14.10.10">8</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T14.3.3.14.10.11">3317</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.14.10.12">27.26</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.14.10.13">0.916</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.14.10.14">0.113</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.14.10.15">11</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.14.10.16">3621</td> </tr> <tr class="ltx_tr" id="S12.T14.3.3.15.11"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T14.3.3.15.11.1">Ignatius</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.15.11.2">28.36</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.15.11.3">0.946</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.15.11.4">0.074</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.15.11.5">5</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T14.3.3.15.11.6">1303</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.15.11.7">28.44</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.15.11.8">0.947</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.15.11.9">0.069</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.15.11.10">6</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T14.3.3.15.11.11">1481</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.15.11.12">28.40</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.15.11.13">0.946</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.15.11.14">0.069</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.15.11.15">9</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.15.11.16">1723</td> </tr> <tr class="ltx_tr" id="S12.T14.3.3.16.12"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T14.3.3.16.12.1">avg</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.16.12.2">28.79</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.16.12.3">0.922</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.16.12.4">0.112</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.16.12.5">5</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T14.3.3.16.12.6">2151</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.16.12.7">28.77</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.16.12.8">0.924</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.16.12.9">0.106</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.16.12.10">7</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T14.3.3.16.12.11">2475</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.16.12.12">28.78</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.16.12.13">0.924</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.16.12.14">0.106</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.16.12.15">9</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.16.12.16">2791</td> </tr> <tr class="ltx_tr" id="S12.T14.3.3.17.13"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T14.3.3.17.13.1" rowspan="6">Top-2</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T14.3.3.17.13.2">Caterpillar</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.17.13.3">26.65</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.17.13.4">0.917</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.17.13.5">0.123</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.17.13.6">8</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T14.3.3.17.13.7">3712</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.17.13.8">26.65</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.17.13.9">0.918</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.17.13.10">0.119</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.17.13.11">11</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T14.3.3.17.13.12">4452</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.17.13.13">26.67</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.17.13.14">0.920</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.17.13.15">0.112</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.17.13.16">16</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.17.13.17">5211</td> </tr> <tr class="ltx_tr" id="S12.T14.3.3.18.14"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T14.3.3.18.14.1">Family</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.18.14.2">34.28</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.18.14.3">0.967</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.18.14.4">0.051</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.18.14.5">5</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T14.3.3.18.14.6">2845</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.18.14.7">34.33</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.18.14.8">0.968</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.18.14.9">0.049</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.18.14.10">7</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T14.3.3.18.14.11">3258</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.18.14.12">34.58</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.18.14.13">0.970</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.18.14.14">0.043</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.18.14.15">10</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.18.14.16">4256</td> </tr> <tr class="ltx_tr" id="S12.T14.3.3.19.15"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T14.3.3.19.15.1">Barn</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.19.15.2">28.06</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.19.15.3">0.873</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.19.15.4">0.190</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.19.15.5">10</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T14.3.3.19.15.6">5866</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.19.15.7">28.22</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.19.15.8">0.880</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.19.15.9">0.173</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.19.15.10">14</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T14.3.3.19.15.11">6215</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.19.15.12">28.31</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.19.15.13">0.883</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.19.15.14">0.167</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.19.15.15">19</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.19.15.16">6347</td> </tr> <tr class="ltx_tr" id="S12.T14.3.3.20.16"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T14.3.3.20.16.1">Truck</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.20.16.2">27.43</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.20.16.3">0.917</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.20.16.4">0.118</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.20.16.5">8</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T14.3.3.20.16.6">4979</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.20.16.7">27.48</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.20.16.8">0.921</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.20.16.9">0.110</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.20.16.10">13</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T14.3.3.20.16.11">6104</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.20.16.12">27.56</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.20.16.13">0.922</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.20.16.14">0.105</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.20.16.15">18</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.20.16.16">6657</td> </tr> <tr class="ltx_tr" id="S12.T14.3.3.21.17"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T14.3.3.21.17.1">Ignatius</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.21.17.2">28.57</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.21.17.3">0.948</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.21.17.4">0.073</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.21.17.5">7</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T14.3.3.21.17.6">2394</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.21.17.7">28.58</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.21.17.8">0.949</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.21.17.9">0.070</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.21.17.10">10</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T14.3.3.21.17.11">2716</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.21.17.12">28.60</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.21.17.13">0.950</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.21.17.14">0.067</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.21.17.15">14</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.21.17.16">3157</td> </tr> <tr class="ltx_tr" id="S12.T14.3.3.22.18"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T14.3.3.22.18.1">avg</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.22.18.2">29.00</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.22.18.3">0.924</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.22.18.4">0.111</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.22.18.5">8</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T14.3.3.22.18.6">3959</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.22.18.7">29.05</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.22.18.8">0.927</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.22.18.9">0.104</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.22.18.10">11</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T14.3.3.22.18.11">4549</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.22.18.12">29.14</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.22.18.13">0.929</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.22.18.14">0.099</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.22.18.15">15</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.22.18.16">5126</td> </tr> <tr class="ltx_tr" id="S12.T14.3.3.23.19"> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r ltx_border_t" id="S12.T14.3.3.23.19.1" rowspan="6">Ens</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T14.3.3.23.19.2">Caterpillar</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.23.19.3">26.64</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.23.19.4">0.917</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.23.19.5">0.127</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.23.19.6">11</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T14.3.3.23.19.7">5138</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.23.19.8">26.75</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.23.19.9">0.919</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.23.19.10">0.127</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.23.19.11">48</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T14.3.3.23.19.12">6853</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.23.19.13">26.77</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.23.19.14">0.919</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.23.19.15">0.126</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.23.19.16">79</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T14.3.3.23.19.17">8571</td> </tr> <tr class="ltx_tr" id="S12.T14.3.3.24.20"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T14.3.3.24.20.1">Family</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.24.20.2">34.11</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.24.20.3">0.966</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.24.20.4">0.053</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.24.20.5">8</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T14.3.3.24.20.6">3942</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.24.20.7">34.16</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.24.20.8">0.967</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.24.20.9">0.055</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.24.20.10">45</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T14.3.3.24.20.11">5260</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.24.20.12">34.32</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.24.20.13">0.968</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.24.20.14">0.052</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.24.20.15">74</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.24.20.16">6581</td> </tr> <tr class="ltx_tr" id="S12.T14.3.3.25.21"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T14.3.3.25.21.1">Barn</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.25.21.2">28.06</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.25.21.3">0.874</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.25.21.4">0.189</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.25.21.5">13</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T14.3.3.25.21.6">8118</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.25.21.7">28.21</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.25.21.8">0.878</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.25.21.9">0.183</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.25.21.10">54</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T14.3.3.25.21.11">10827</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.25.21.12">28.32</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.25.21.13">0.882</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.25.21.14">0.176</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.25.21.15">89</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.25.21.16">13541</td> </tr> <tr class="ltx_tr" id="S12.T14.3.3.26.22"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T14.3.3.26.22.1">Truck</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.26.22.2">27.35</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.26.22.3">0.917</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.26.22.4">0.122</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.26.22.5">11</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T14.3.3.26.22.6">6889</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.26.22.7">27.40</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.26.22.8">0.919</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.26.22.9">0.122</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.26.22.10">51</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T14.3.3.26.22.11">9188</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.26.22.12">27.45</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.26.22.13">0.921</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.26.22.14">0.119</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.26.22.15">84</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.26.22.16">11491</td> </tr> <tr class="ltx_tr" id="S12.T14.3.3.27.23"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T14.3.3.27.23.1">Ignatius</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.27.23.2">28.59</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.27.23.3">0.949</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.27.23.4">0.075</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.27.23.5">10</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T14.3.3.27.23.6">3320</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.27.23.7">28.67</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.27.23.8">0.951</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.27.23.9">0.077</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.27.23.10">45</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T14.3.3.27.23.11">4430</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.27.23.12">28.70</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.27.23.13">0.952</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.27.23.14">0.074</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.27.23.15">74</td> <td class="ltx_td ltx_align_center" id="S12.T14.3.3.27.23.16">5545</td> </tr> <tr class="ltx_tr" id="S12.T14.3.3.28.24"> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r ltx_border_t" id="S12.T14.3.3.28.24.1">avg</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T14.3.3.28.24.2">28.95</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T14.3.3.28.24.3">0.925</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T14.3.3.28.24.4">0.113</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T14.3.3.28.24.5">11</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r ltx_border_t" id="S12.T14.3.3.28.24.6">5481</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T14.3.3.28.24.7">29.04</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T14.3.3.28.24.8">0.927</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T14.3.3.28.24.9">0.113</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T14.3.3.28.24.10">49</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r ltx_border_t" id="S12.T14.3.3.28.24.11">7311</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T14.3.3.28.24.12">29.11</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T14.3.3.28.24.13">0.928</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T14.3.3.28.24.14">0.109</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T14.3.3.28.24.15">80</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T14.3.3.28.24.16">9146</td> </tr> </tbody> </table> </div> </figure> <figure class="ltx_table" id="S12.T15"> <figcaption class="ltx_caption">Table 15: Per-scene results on LLFF with TensoRF</figcaption> <div class="ltx_inline-block ltx_transformed_outer" id="S12.T15.3" style="width:433.6pt;height:414.8pt;vertical-align:-0.0pt;"> <table class="ltx_tabular ltx_guessed_headers ltx_align_middle" id="S12.T15.3.3"> <thead class="ltx_thead"> <tr class="ltx_tr" id="S12.T15.3.3.4.1"> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T15.3.3.4.1.1" rowspan="2">Method</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T15.3.3.4.1.2" rowspan="2">Scene</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_r ltx_border_t" colspan="5" id="S12.T15.3.3.4.1.3">M=3</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_r ltx_border_t" colspan="5" id="S12.T15.3.3.4.1.4">M=4</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" colspan="5" id="S12.T15.3.3.4.1.5">M=5</th> </tr> <tr class="ltx_tr" id="S12.T15.3.3.3"> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T15.3.3.3.4">PSNR</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T15.3.3.3.5">SSIM</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T15.3.3.3.6">LPIPS</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column 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id="S12.T15.3.3.3.8">PSNR</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T15.3.3.3.9">SSIM</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T15.3.3.3.10">LPIPS</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T15.2.2.2.2"><math alttext="\|w\||_{0}" class="ltx_Math" display="inline" id="S12.T15.2.2.2.2.m1.3"><semantics id="S12.T15.2.2.2.2.m1.3a"><msub id="S12.T15.2.2.2.2.m1.3.3.1" xref="S12.T15.2.2.2.2.m1.3.3.2.cmml"><mrow id="S12.T15.2.2.2.2.m1.3.3.1.1" xref="S12.T15.2.2.2.2.m1.3.3.2.cmml"><mrow id="S12.T15.2.2.2.2.m1.3.3.1.1.1.2" xref="S12.T15.2.2.2.2.m1.3.3.1.1.1.1.cmml"><mo id="S12.T15.2.2.2.2.m1.3.3.1.1.1.2.1" stretchy="false" xref="S12.T15.2.2.2.2.m1.3.3.1.1.1.1.1.cmml">‖</mo><mi id="S12.T15.2.2.2.2.m1.1.1" xref="S12.T15.2.2.2.2.m1.1.1.cmml">w</mi><mo id="S12.T15.2.2.2.2.m1.3.3.1.1.1.2.2" stretchy="false" xref="S12.T15.2.2.2.2.m1.3.3.1.1.1.1.1.cmml">‖</mo></mrow><mo 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xref="S12.T15.3.3.3.3.m1.1.1">𝑤</ci></apply><cn id="S12.T15.3.3.3.3.m1.2.2.1.cmml" type="integer" xref="S12.T15.3.3.3.3.m1.2.2.1">0</cn></apply></annotation-xml><annotation encoding="application/x-tex" id="S12.T15.3.3.3.3.m1.3c">\|w\||_{0}</annotation><annotation encoding="application/x-llamapun" id="S12.T15.3.3.3.3.m1.3d">∥ italic_w ∥ | start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT</annotation></semantics></math></th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T15.3.3.3.15">GFLOPs</th> </tr> </thead> <tbody class="ltx_tbody"> <tr class="ltx_tr" id="S12.T15.3.3.5.1"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T15.3.3.5.1.1" rowspan="9">Baseline</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T15.3.3.5.1.2">Fern</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.5.1.3">24.98</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.5.1.4">0.801</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.5.1.5">0.165</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.5.1.6">9</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T15.3.3.5.1.7">4124</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.5.1.8">25.01</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.5.1.9">0.798</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.5.1.10">0.162</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.5.1.11">13</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T15.3.3.5.1.12">4766</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.5.1.13">25.04</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.5.1.14">0.801</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.5.1.15">0.152</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.5.1.16">18</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.5.1.17">5671</td> </tr> <tr class="ltx_tr" id="S12.T15.3.3.6.2"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.6.2.1">Flower</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.6.2.2">28.41</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.6.2.3">0.863</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.6.2.4">0.108</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.6.2.5">9</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.6.2.6">3413</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.6.2.7">28.38</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.6.2.8">0.865</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.6.2.9">0.099</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.6.2.10">13</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.6.2.11">4048</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.6.2.12">28.33</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.6.2.13">0.863</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.6.2.14">0.097</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.6.2.15">19</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.6.2.16">5054</td> </tr> <tr class="ltx_tr" id="S12.T15.3.3.7.3"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.7.3.1">Fortress</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.7.3.2">31.18</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.7.3.3">0.892</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.7.3.4">0.079</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.7.3.5">7</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.7.3.6">3123</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.7.3.7">31.27</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.7.3.8">0.895</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.7.3.9">0.072</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.7.3.10">11</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.7.3.11">3922</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.7.3.12">31.43</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.7.3.13">0.899</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.7.3.14">0.066</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.7.3.15">15</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.7.3.16">4872</td> </tr> <tr class="ltx_tr" id="S12.T15.3.3.8.4"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.8.4.1">Horns</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.8.4.2">28.04</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.8.4.3">0.871</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.8.4.4">0.125</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.8.4.5">9</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.8.4.6">1980</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.8.4.7">28.30</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.8.4.8">0.880</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.8.4.9">0.110</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.8.4.10">12</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.8.4.11">2523</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.8.4.12">28.41</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.8.4.13">0.886</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.8.4.14">0.100</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.8.4.15">18</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.8.4.16">2940</td> </tr> <tr class="ltx_tr" id="S12.T15.3.3.9.5"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.9.5.1">Leaves</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.9.5.2">21.16</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.9.5.3">0.742</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.9.5.4">0.165</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.9.5.5">8</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.9.5.6">3152</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.9.5.7">21.07</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.9.5.8">0.742</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.9.5.9">0.150</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.9.5.10">12</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.9.5.11">3690</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.9.5.12">20.95</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.9.5.13">0.738</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.9.5.14">0.144</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.9.5.15">17</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.9.5.16">4521</td> </tr> <tr class="ltx_tr" id="S12.T15.3.3.10.6"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.10.6.1">Orchids</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.10.6.2">19.84</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.10.6.3">0.647</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.10.6.4">0.200</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.10.6.5">12</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.10.6.6">3658</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.10.6.7">19.81</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.10.6.8">0.645</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.10.6.9">0.193</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.10.6.10">17</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.10.6.11">4472</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.10.6.12">19.75</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.10.6.13">0.636</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.10.6.14">0.199</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.10.6.15">24</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.10.6.16">5241</td> </tr> <tr class="ltx_tr" id="S12.T15.3.3.11.7"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.11.7.1">Room</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.11.7.2">31.78</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.11.7.3">0.948</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.11.7.4">0.089</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.11.7.5">10</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.11.7.6">2597</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.11.7.7">32.22</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.11.7.8">0.951</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.11.7.9">0.079</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.11.7.10">15</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.11.7.11">3357</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.11.7.12">32.23</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.11.7.13">0.951</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.11.7.14">0.076</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.11.7.15">21</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.11.7.16">3861</td> </tr> <tr class="ltx_tr" id="S12.T15.3.3.12.8"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.12.8.1">Trex</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.12.8.2">27.43</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.12.8.3">0.906</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.12.8.4">0.087</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.12.8.5">9</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.12.8.6">2844</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.12.8.7">27.70</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.12.8.8">0.911</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.12.8.9">0.079</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.12.8.10">13</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.12.8.11">3457</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.12.8.12">27.55</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.12.8.13">0.910</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.12.8.14">0.078</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.12.8.15">18</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.12.8.16">4177</td> </tr> <tr class="ltx_tr" id="S12.T15.3.3.13.9"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T15.3.3.13.9.1">avg</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.13.9.2">26.60</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.13.9.3">0.834</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.13.9.4">0.127</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.13.9.5">9</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T15.3.3.13.9.6">3111</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.13.9.7">26.72</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.13.9.8">0.836</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.13.9.9">0.118</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.13.9.10">13</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T15.3.3.13.9.11">3779</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.13.9.12">26.71</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.13.9.13">0.835</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.13.9.14">0.114</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.13.9.15">19</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.13.9.16">4542</td> </tr> <tr class="ltx_tr" id="S12.T15.3.3.14.10"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T15.3.3.14.10.1" rowspan="9">Top-1</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T15.3.3.14.10.2">Fern</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.14.10.3">24.76</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.14.10.4">0.792</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.14.10.5">0.166</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.14.10.6">5</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T15.3.3.14.10.7">2703</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.14.10.8">24.78</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.14.10.9">0.800</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.14.10.10">0.166</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.14.10.11">8</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T15.3.3.14.10.12">3438</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.14.10.13">24.76</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.14.10.14">0.800</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.14.10.15">0.167</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.14.10.16">12</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.14.10.17">4223</td> </tr> <tr class="ltx_tr" id="S12.T15.3.3.15.11"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.15.11.1">Flower</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.15.11.2">28.57</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.15.11.3">0.868</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.15.11.4">0.089</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.15.11.5">5</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.15.11.6">2155</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.15.11.7">28.60</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.15.11.8">0.873</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.15.11.9">0.089</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.15.11.10">8</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.15.11.11">2825</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.15.11.12">28.78</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.15.11.13">0.875</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.15.11.14">0.079</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.15.11.15">11</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.15.11.16">3500</td> </tr> <tr class="ltx_tr" id="S12.T15.3.3.16.12"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.16.12.1">Fortress</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.16.12.2">31.13</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.16.12.3">0.893</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.16.12.4">0.075</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.16.12.5">4</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.16.12.6">1928</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.16.12.7">31.17</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.16.12.8">0.898</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.16.12.9">0.071</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.16.12.10">8</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.16.12.11">2517</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.16.12.12">31.23</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.16.12.13">0.896</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.16.12.14">0.070</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.16.12.15">8</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.16.12.16">3526</td> </tr> <tr class="ltx_tr" id="S12.T15.3.3.17.13"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.17.13.1">Horns</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.17.13.2">28.09</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.17.13.3">0.873</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.17.13.4">0.113</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.17.13.5">5</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.17.13.6">1251</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.17.13.7">28.44</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.17.13.8">0.882</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.17.13.9">0.100</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.17.13.10">6</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.17.13.11">1676</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.17.13.12">28.42</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.17.13.13">0.872</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.17.13.14">0.101</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.17.13.15">10</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.17.13.16">1956</td> </tr> <tr class="ltx_tr" id="S12.T15.3.3.18.14"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.18.14.1">Leaves</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.18.14.2">21.30</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.18.14.3">0.748</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.18.14.4">0.151</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.18.14.5">5</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.18.14.6">2033</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.18.14.7">21.17</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.18.14.8">0.746</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.18.14.9">0.142</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.18.14.10">7</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.18.14.11">2565</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.18.14.12">21.05</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.18.14.13">0.740</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.18.14.14">0.139</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.18.14.15">13</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.18.14.16">3010</td> </tr> <tr class="ltx_tr" id="S12.T15.3.3.19.15"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.19.15.1">Orchids</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.19.15.2">19.89</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.19.15.3">0.656</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.19.15.4">0.168</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.19.15.5">6</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.19.15.6">2449</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.19.15.7">19.80</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.19.15.8">0.648</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.19.15.9">0.173</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.19.15.10">9</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.19.15.11">3129</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.19.15.12">19.76</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.19.15.13">0.645</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.19.15.14">0.175</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.19.15.15">15</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.19.15.16">3770</td> </tr> <tr class="ltx_tr" id="S12.T15.3.3.20.16"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.20.16.1">Room</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.20.16.2">31.97</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.20.16.3">0.948</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.20.16.4">0.083</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.20.16.5">5</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.20.16.6">1578</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.20.16.7">32.34</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.20.16.8">0.951</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.20.16.9">0.076</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.20.16.10">10</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.20.16.11">2218</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.20.16.12">32.26</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.20.16.13">0.950</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.20.16.14">0.079</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.20.16.15">11</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.20.16.16">2713</td> </tr> <tr class="ltx_tr" id="S12.T15.3.3.21.17"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.21.17.1">Trex</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.21.17.2">26.94</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.21.17.3">0.900</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.21.17.4">0.091</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.21.17.5">4</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.21.17.6">2031</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.21.17.7">27.56</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.21.17.8">0.910</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.21.17.9">0.082</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.21.17.10">7</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.21.17.11">2237</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.21.17.12">27.55</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.21.17.13">0.912</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.21.17.14">0.082</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.21.17.15">10</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.21.17.16">3108</td> </tr> <tr class="ltx_tr" id="S12.T15.3.3.22.18"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T15.3.3.22.18.1">avg</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.22.18.2">26.58</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.22.18.3">0.835</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.22.18.4">0.117</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.22.18.5">5</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T15.3.3.22.18.6">2016</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.22.18.7">26.73</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.22.18.8">0.839</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.22.18.9">0.112</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.22.18.10">6</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T15.3.3.22.18.11">2576</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.22.18.12">26.73</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.22.18.13">0.836</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.22.18.14">0.111</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.22.18.15">11</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.22.18.16">3226</td> </tr> <tr class="ltx_tr" id="S12.T15.3.3.23.19"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T15.3.3.23.19.1" rowspan="9">Top-2</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T15.3.3.23.19.2">Fern</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.23.19.3">24.88</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.23.19.4">0.797</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.23.19.5">0.156</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.23.19.6">6</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T15.3.3.23.19.7">4974</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.23.19.8">24.87</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.23.19.9">0.795</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.23.19.10">0.157</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.23.19.11">10</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T15.3.3.23.19.12">6320</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.23.19.13">24.89</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.23.19.14">0.796</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.23.19.15">0.156</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.23.19.16">16</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.23.19.17">7754</td> </tr> <tr class="ltx_tr" id="S12.T15.3.3.24.20"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.24.20.1">Flower</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.24.20.2">28.84</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.24.20.3">0.873</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.24.20.4">0.086</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.24.20.5">6</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.24.20.6">3965</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.24.20.7">28.87</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.24.20.8">0.875</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.24.20.9">0.082</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.24.20.10">10</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.24.20.11">5192</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.24.20.12">29.05</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.24.20.13">0.878</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.24.20.14">0.078</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.24.20.15">15</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.24.20.16">6425</td> </tr> <tr class="ltx_tr" id="S12.T15.3.3.25.21"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.25.21.1">Fortress</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.25.21.2">31.43</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.25.21.3">0.899</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.25.21.4">0.067</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.25.21.5">6</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.25.21.6">3545</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.25.21.7">31.50</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.25.21.8">0.900</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.25.21.9">0.063</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.25.21.10">10</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.25.21.11">4622</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.25.21.12">31.68</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.25.21.13">0.902</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.25.21.14">0.056</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.25.21.15">14</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.25.21.16">6473</td> </tr> <tr class="ltx_tr" id="S12.T15.3.3.26.22"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.26.22.1">Horns</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.26.22.2">28.55</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.26.22.3">0.884</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.26.22.4">0.103</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.26.22.5">6</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.26.22.6">2297</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.26.22.7">28.82</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.26.22.8">0.891</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.26.22.9">0.093</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.26.22.10">10</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.26.22.11">3074</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.26.22.12">29.08</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.26.22.13">0.899</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.26.22.14">0.085</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.26.22.15">15</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.26.22.16">3584</td> </tr> <tr class="ltx_tr" id="S12.T15.3.3.27.23"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.27.23.1">Leaves</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.27.23.2">21.37</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.27.23.3">0.754</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.27.23.4">0.145</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.27.23.5">6</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.27.23.6">3740</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.27.23.7">21.20</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.27.23.8">0.752</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.27.23.9">0.138</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.27.23.10">10</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.27.23.11">4713</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.27.23.12">21.25</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.27.23.13">0.755</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.27.23.14">0.135</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.27.23.15">16</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.27.23.16">5525</td> </tr> <tr class="ltx_tr" id="S12.T15.3.3.28.24"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.28.24.1">Orchids</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.28.24.2">19.94</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.28.24.3">0.661</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.28.24.4">0.164</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.28.24.5">7</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.28.24.6">4505</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.28.24.7">19.87</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.28.24.8">0.657</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.28.24.9">0.162</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.28.24.10">13</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.28.24.11">5751</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.28.24.12">19.90</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.28.24.13">0.658</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.28.24.14">0.161</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.28.24.15">20</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.28.24.16">6922</td> </tr> <tr class="ltx_tr" id="S12.T15.3.3.29.25"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.29.25.1">Room</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.29.25.2">32.46</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.29.25.3">0.952</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.29.25.4">0.077</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.29.25.5">7</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.29.25.6">2899</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.29.25.7">32.97</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.29.25.8">0.955</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.29.25.9">0.070</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.29.25.10">11</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.29.25.11">4073</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.29.25.12">33.06</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.29.25.13">0.955</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.29.25.14">0.068</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.29.25.15">17</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.29.25.16">4978</td> </tr> <tr class="ltx_tr" id="S12.T15.3.3.30.26"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.30.26.1">Trex</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.30.26.2">27.44</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.30.26.3">0.909</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.30.26.4">0.080</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.30.26.5">6</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.30.26.6">3734</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.30.26.7">27.76</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.30.26.8">0.915</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.30.26.9">0.073</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.30.26.10">9</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.30.26.11">4106</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.30.26.12">27.79</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.30.26.13">0.914</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.30.26.14">0.072</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.30.26.15">12</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.30.26.16">5704</td> </tr> <tr class="ltx_tr" id="S12.T15.3.3.31.27"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T15.3.3.31.27.1">avg</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.31.27.2">26.86</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.31.27.3">0.841</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.31.27.4">0.110</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.31.27.5">6</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T15.3.3.31.27.6">3707</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.31.27.7">26.98</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.31.27.8">0.843</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.31.27.9">0.105</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.31.27.10">10</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T15.3.3.31.27.11">4731</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.31.27.12">27.09</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.31.27.13">0.845</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.31.27.14">0.101</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.31.27.15">16</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.31.27.16">5921</td> </tr> <tr class="ltx_tr" id="S12.T15.3.3.32.28"> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r ltx_border_t" id="S12.T15.3.3.32.28.1" rowspan="9">Ens</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T15.3.3.32.28.2">Fern</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.32.28.3">24.80</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.32.28.4">0.790</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.32.28.5">0.170</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.32.28.6">8</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T15.3.3.32.28.7">6841</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.32.28.8">24.83</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.32.28.9">0.789</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.32.28.10">0.165</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.32.28.11">13</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T15.3.3.32.28.12">11566</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.32.28.13">24.80</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.32.28.14">0.788</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.32.28.15">0.160</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.32.28.16">22</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T15.3.3.32.28.17">17709</td> </tr> <tr class="ltx_tr" id="S12.T15.3.3.33.29"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.33.29.1">Flower</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.33.29.2">28.79</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.33.29.3">0.873</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.33.29.4">0.091</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.33.29.5">8</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.33.29.6">5454</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.33.29.7">28.88</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.33.29.8">0.875</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.33.29.9">0.085</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.33.29.10">13</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.33.29.11">9503</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.33.29.12">29.13</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.33.29.13">0.880</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.33.29.14">0.080</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.33.29.15">21</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.33.29.16">14676</td> </tr> <tr class="ltx_tr" id="S12.T15.3.3.34.30"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.34.30.1">Fortress</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.34.30.2">31.38</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.34.30.3">0.899</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.34.30.4">0.069</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.34.30.5">8</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.34.30.6">4876</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.34.30.7">31.50</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.34.30.8">0.902</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.34.30.9">0.062</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.34.30.10">14</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.34.30.11">8458</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.34.30.12">31.65</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.34.30.13">0.904</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.34.30.14">0.056</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.34.30.15">21</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.34.30.16">14783</td> </tr> <tr class="ltx_tr" id="S12.T15.3.3.35.31"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.35.31.1">Horns</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.35.31.2">28.50</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.35.31.3">0.885</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.35.31.4">0.105</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.35.31.5">8</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.35.31.6">3161</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.35.31.7">28.88</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.35.31.8">0.895</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.35.31.9">0.090</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.35.31.10">14</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.35.31.11">5627</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.35.31.12">29.10</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.35.31.13">0.904</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.35.31.14">0.080</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.35.31.15">22</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.35.31.16">8186</td> </tr> <tr class="ltx_tr" id="S12.T15.3.3.36.32"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.36.32.1">Leaves</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.36.32.2">21.34</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.36.32.3">0.751</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.36.32.4">0.154</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.36.32.5">8</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.36.32.6">5146</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.36.32.7">21.26</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.36.32.8">0.753</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.36.32.9">0.142</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.36.32.10">13</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.36.32.11">8629</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.36.32.12">21.26</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.36.32.13">0.757</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.36.32.14">0.135</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.36.32.15">22</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.36.32.16">12623</td> </tr> <tr class="ltx_tr" id="S12.T15.3.3.37.33"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.37.33.1">Orchids</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.37.33.2">20.04</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.37.33.3">0.660</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.37.33.4">0.171</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.37.33.5">9</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.37.33.6">6196</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.37.33.7">20.05</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.37.33.8">0.659</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.37.33.9">0.167</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.37.33.10">17</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.37.33.11">10525</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.37.33.12">20.04</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.37.33.13">0.660</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.37.33.14">0.164</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.37.33.15">27</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.37.33.16">15807</td> </tr> <tr class="ltx_tr" id="S12.T15.3.3.38.34"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.38.34.1">Room</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.38.34.2">32.38</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.38.34.3">0.952</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.38.34.4">0.079</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.38.34.5">9</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.38.34.6">3988</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.38.34.7">32.91</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.38.34.8">0.956</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.38.34.9">0.070</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.38.34.10">16</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.38.34.11">7455</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.38.34.12">33.08</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.38.34.13">0.957</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.38.34.14">0.066</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.38.34.15">25</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.38.34.16">11368</td> </tr> <tr class="ltx_tr" id="S12.T15.3.3.39.35"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.39.35.1">Trex</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.39.35.2">27.15</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.39.35.3">0.906</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.39.35.4">0.088</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.39.35.5">8</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.39.35.6">5138</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.39.35.7">27.70</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.39.35.8">0.915</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.39.35.9">0.075</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.39.35.10">14</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T15.3.3.39.35.11">7516</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.39.35.12">27.78</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.39.35.13">0.916</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.39.35.14">0.071</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.39.35.15">22</td> <td class="ltx_td ltx_align_center" id="S12.T15.3.3.39.35.16">13028</td> </tr> <tr class="ltx_tr" id="S12.T15.3.3.40.36"> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r ltx_border_t" id="S12.T15.3.3.40.36.1">avg</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T15.3.3.40.36.2">26.80</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T15.3.3.40.36.3">0.840</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T15.3.3.40.36.4">0.116</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T15.3.3.40.36.5">8</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r ltx_border_t" id="S12.T15.3.3.40.36.6">5100</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T15.3.3.40.36.7">27.00</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T15.3.3.40.36.8">0.843</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T15.3.3.40.36.9">0.107</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T15.3.3.40.36.10">14</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r ltx_border_t" id="S12.T15.3.3.40.36.11">8660</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T15.3.3.40.36.12">27.10</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T15.3.3.40.36.13">0.846</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T15.3.3.40.36.14">0.101</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T15.3.3.40.36.15">23</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T15.3.3.40.36.16">13522</td> </tr> </tbody> </table> </div> </figure> <figure class="ltx_table" id="S12.T16"> <figcaption class="ltx_caption">Table 16: Per-scene results on Synthetic-NeRF with Instant-NGP</figcaption> <div class="ltx_inline-block ltx_transformed_outer" id="S12.T16.3" style="width:433.6pt;height:411.3pt;vertical-align:-0.0pt;"> <table class="ltx_tabular 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xref="S12.T16.3.3.3.3.m1.3.3.1.1.1.2"><csymbol cd="latexml" id="S12.T16.3.3.3.3.m1.3.3.1.1.1.1.1.cmml" xref="S12.T16.3.3.3.3.m1.3.3.1.1.1.2.1">norm</csymbol><ci id="S12.T16.3.3.3.3.m1.1.1.cmml" xref="S12.T16.3.3.3.3.m1.1.1">𝑤</ci></apply><cn id="S12.T16.3.3.3.3.m1.2.2.1.cmml" type="integer" xref="S12.T16.3.3.3.3.m1.2.2.1">0</cn></apply></annotation-xml><annotation encoding="application/x-tex" id="S12.T16.3.3.3.3.m1.3c">\|w\||_{0}</annotation><annotation encoding="application/x-llamapun" id="S12.T16.3.3.3.3.m1.3d">∥ italic_w ∥ | start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT</annotation></semantics></math></th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T16.3.3.3.15">GFLOPs</th> </tr> </thead> <tbody class="ltx_tbody"> <tr class="ltx_tr" id="S12.T16.3.3.5.1"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T16.3.3.5.1.1" rowspan="9">Baseline</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T16.3.3.5.1.2">Lego</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.5.1.3">35.88</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.5.1.4">0.980</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.5.1.5">0.009</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.5.1.6">12</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T16.3.3.5.1.7">23</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.5.1.8">35.98</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.5.1.9">0.981</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.5.1.10">0.008</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.5.1.11">14</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T16.3.3.5.1.12">29</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.5.1.13">36.09</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.5.1.14">0.981</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.5.1.15">0.008</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.5.1.16">15</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.5.1.17">30</td> </tr> <tr class="ltx_tr" id="S12.T16.3.3.6.2"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.6.2.1">Mic</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.6.2.2">36.25</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.6.2.3">0.990</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.6.2.4">0.008</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.6.2.5">10</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.6.2.6">18</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.6.2.7">36.27</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.6.2.8">0.991</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.6.2.9">0.007</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.6.2.10">12</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.6.2.11">20</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.6.2.12">36.66</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.6.2.13">0.991</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.6.2.14">0.007</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.6.2.15">13</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.6.2.16">22</td> </tr> <tr class="ltx_tr" id="S12.T16.3.3.7.3"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.7.3.1">Ship</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.7.3.2">30.69</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.7.3.3">0.892</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.7.3.4">0.080</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.7.3.5">33</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.7.3.6">130</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.7.3.7">30.58</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.7.3.8">0.893</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.7.3.9">0.075</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.7.3.10">46</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.7.3.11">137</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.7.3.12">30.59</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.7.3.13">0.894</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.7.3.14">0.073</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.7.3.15">51</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.7.3.16">145</td> </tr> <tr class="ltx_tr" id="S12.T16.3.3.8.4"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.8.4.1">Chair</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.8.4.2">35.57</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.8.4.3">0.982</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.8.4.4">0.010</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.8.4.5">5</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.8.4.6">13</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.8.4.7">35.76</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.8.4.8">0.980</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.8.4.9">0.009</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.8.4.10">6</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.8.4.11">13</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.8.4.12">35.80</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.8.4.13">0.983</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.8.4.14">0.009</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.8.4.15">6</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.8.4.16">13</td> </tr> <tr class="ltx_tr" id="S12.T16.3.3.9.5"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.9.5.1">Hotdog</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.9.5.2">37.35</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.9.5.3">0.981</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.9.5.4">0.015</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.9.5.5">7</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.9.5.6">40</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.9.5.7">37.48</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.9.5.8">0.981</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.9.5.9">0.014</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.9.5.10">8</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.9.5.11">40</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.9.5.12">37.60</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.9.5.13">0.982</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.9.5.14">0.014</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.9.5.15">8</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.9.5.16">42</td> </tr> <tr class="ltx_tr" id="S12.T16.3.3.10.6"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.10.6.1">Materials</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.10.6.2">29.64</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.10.6.3">0.947</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.10.6.4">0.032</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.10.6.5">45</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.10.6.6">59</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.10.6.7">29.76</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.10.6.8">0.949</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.10.6.9">0.030</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.10.6.10">63</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.10.6.11">59</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.10.6.12">29.84</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.10.6.13">0.951</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.10.6.14">0.028</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.10.6.15">82</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.10.6.16">60</td> </tr> <tr class="ltx_tr" id="S12.T16.3.3.11.7"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.11.7.1">Ficus</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.11.7.2">34.19</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.11.7.3">0.983</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.11.7.4">0.013</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.11.7.5">13</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.11.7.6">18</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.11.7.7">34.26</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.11.7.8">0.983</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.11.7.9">0.013</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.11.7.10">17</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.11.7.11">19</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.11.7.12">34.26</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.11.7.13">0.983</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.11.7.14">0.013</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.11.7.15">19</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.11.7.16">22</td> </tr> <tr class="ltx_tr" id="S12.T16.3.3.12.8"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.12.8.1">Drums</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.12.8.2">25.92</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.12.8.3">0.934</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.12.8.4">0.052</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.12.8.5">31</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.12.8.6">32</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.12.8.7">25.94</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.12.8.8">0.934</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.12.8.9">0.050</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.12.8.10">43</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.12.8.11">33</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.12.8.12">25.95</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.12.8.13">0.936</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.12.8.14">0.050</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.12.8.15">52</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.12.8.16">34</td> </tr> <tr class="ltx_tr" id="S12.T16.3.3.13.9"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T16.3.3.13.9.1">avg</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.13.9.2">33.19</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.13.9.3">0.961</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.13.9.4">0.027</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.13.9.5">20</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T16.3.3.13.9.6">42</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.13.9.7">33.25</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.13.9.8">0.962</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.13.9.9">0.026</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.13.9.10">26</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T16.3.3.13.9.11">44</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.13.9.12">33.35</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.13.9.13">0.963</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.13.9.14">0.025</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.13.9.15">31</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.13.9.16">46</td> </tr> <tr class="ltx_tr" id="S12.T16.3.3.14.10"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T16.3.3.14.10.1" rowspan="9">Top-1</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T16.3.3.14.10.2">Lego</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.14.10.3">36.19</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.14.10.4">0.983</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.14.10.5">0.019</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.14.10.6">11</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T16.3.3.14.10.7">39</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.14.10.8">36.38</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.14.10.9">0.983</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.14.10.10">0.019</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.14.10.11">12</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T16.3.3.14.10.12">42</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.14.10.13">36.58</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.14.10.14">0.985</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.14.10.15">0.018</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.14.10.16">15</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.14.10.17">45</td> </tr> <tr class="ltx_tr" id="S12.T16.3.3.15.11"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.15.11.1">Mic</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.15.11.2">36.27</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.15.11.3">0.990</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.15.11.4">0.013</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.15.11.5">9</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.15.11.6">38</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.15.11.7">36.52</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.15.11.8">0.991</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.15.11.9">0.014</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.15.11.10">10</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.15.11.11">37</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.15.11.12">36.72</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.15.11.13">0.993</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.15.11.14">0.013</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.15.11.15">11</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.15.11.16">38</td> </tr> <tr class="ltx_tr" id="S12.T16.3.3.16.12"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.16.12.1">Ship</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.16.12.2">30.79</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.16.12.3">0.892</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.16.12.4">0.122</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.16.12.5">17</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.16.12.6">178</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.16.12.7">30.86</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.16.12.8">0.893</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.16.12.9">0.126</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.16.12.10">22</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.16.12.11">190</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.16.12.12">30.85</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.16.12.13">0.893</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.16.12.14">0.126</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.16.12.15">27</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.16.12.16">198</td> </tr> <tr class="ltx_tr" id="S12.T16.3.3.17.13"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.17.13.1">Chair</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.17.13.2">35.77</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.17.13.3">0.984</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.17.13.4">0.019</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.17.13.5">4</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.17.13.6">27</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.17.13.7">35.95</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.17.13.8">0.980</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.17.13.9">0.019</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.17.13.10">4</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.17.13.11">27</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.17.13.12">35.98</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.17.13.13">0.980</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.17.13.14">0.019</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.17.13.15">6</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.17.13.16">27</td> </tr> <tr class="ltx_tr" id="S12.T16.3.3.18.14"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.18.14.1">Hotdog</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.18.14.2">37.45</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.18.14.3">0.981</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.18.14.4">0.030</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.18.14.5">5</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.18.14.6">59</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.18.14.7">37.49</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.18.14.8">0.981</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.18.14.9">0.032</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.18.14.10">6</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.18.14.11">59</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.18.14.12">37.69</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.18.14.13">0.981</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.18.14.14">0.032</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.18.14.15">9</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.18.14.16">57</td> </tr> <tr class="ltx_tr" id="S12.T16.3.3.19.15"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.19.15.1">Materials</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.19.15.2">29.70</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.19.15.3">0.947</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.19.15.4">0.060</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.19.15.5">30</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.19.15.6">89</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.19.15.7">29.76</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.19.15.8">0.952</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.19.15.9">0.062</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.19.15.10">32</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.19.15.11">97</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.19.15.12">29.86</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.19.15.13">0.952</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.19.15.14">0.064</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.19.15.15">39</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.19.15.16">100</td> </tr> <tr class="ltx_tr" id="S12.T16.3.3.20.16"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.20.16.1">Ficus</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.20.16.2">34.29</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.20.16.3">0.983</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.20.16.4">0.019</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.20.16.5">11</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.20.16.6">45</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.20.16.7">34.46</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.20.16.8">0.985</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.20.16.9">0.019</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.20.16.10">10</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.20.16.11">45</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.20.16.12">34.76</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.20.16.13">0.985</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.20.16.14">0.019</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.20.16.15">10</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.20.16.16">45</td> </tr> <tr class="ltx_tr" id="S12.T16.3.3.21.17"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.21.17.1">Drums</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.21.17.2">25.98</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.21.17.3">0.934</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.21.17.4">0.074</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.21.17.5">21</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.21.17.6">58</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.21.17.7">25.99</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.21.17.8">0.935</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.21.17.9">0.072</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.21.17.10">19</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.21.17.11">58</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.21.17.12">25.99</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.21.17.13">0.935</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.21.17.14">0.071</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.21.17.15">22</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.21.17.16">57</td> </tr> <tr class="ltx_tr" id="S12.T16.3.3.22.18"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T16.3.3.22.18.1">avg</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.22.18.2">33.31</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.22.18.3">0.962</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.22.18.4">0.04</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.22.18.5">13</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T16.3.3.22.18.6">66</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.22.18.7">33.43</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.22.18.8">0.963</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.22.18.9">0.046</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.22.18.10">14</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T16.3.3.22.18.11">69</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.22.18.12">33.56</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.22.18.13">0.963</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.22.18.14">0.045</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.22.18.15">17</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.22.18.16">71</td> </tr> <tr class="ltx_tr" id="S12.T16.3.3.23.19"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T16.3.3.23.19.1" rowspan="9">Top-2</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T16.3.3.23.19.2">Lego</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.23.19.3">36.32</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.23.19.4">0.981</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.23.19.5">0.020</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.23.19.6">12</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T16.3.3.23.19.7">66</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.23.19.8">36.37</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.23.19.9">0.982</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.23.19.10">0.019</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.23.19.11">14</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T16.3.3.23.19.12">66</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.23.19.13">36.47</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.23.19.14">0.983</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.23.19.15">0.018</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.23.19.16">15</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.23.19.17">73</td> </tr> <tr class="ltx_tr" id="S12.T16.3.3.24.20"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.24.20.1">Mic</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.24.20.2">36.70</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.24.20.3">0.991</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.24.20.4">0.014</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.24.20.5">9</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.24.20.6">64</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.24.20.7">36.85</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.24.20.8">0.991</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.24.20.9">0.014</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.24.20.10">11</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.24.20.11">64</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.24.20.12">37.00</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.24.20.13">0.992</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.24.20.14">0.013</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.24.20.15">12</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.24.20.16">65</td> </tr> <tr class="ltx_tr" id="S12.T16.3.3.25.21"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.25.21.1">Ship</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.25.21.2">30.38</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.25.21.3">0.892</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.25.21.4">0.129</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.25.21.5">20</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.25.21.6">294</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.25.21.7">30.56</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.25.21.8">0.894</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.25.21.9">0.126</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.25.21.10">28</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.25.21.11">312</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.25.21.12">30.79</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.25.21.13">0.897</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.25.21.14">0.122</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.25.21.15">31</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.25.21.16">342</td> </tr> <tr class="ltx_tr" id="S12.T16.3.3.26.22"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.26.22.1">Chair</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.26.22.2">35.87</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.26.22.3">0.982</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.26.22.4">0.021</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.26.22.5">4</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.26.22.6">45</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.26.22.7">35.91</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.26.22.8">0.983</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.26.22.9">0.019</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.26.22.10">5</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.26.22.11">45</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.26.22.12">36.05</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.26.22.13">0.985</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.26.22.14">0.018</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.26.22.15">6</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.26.22.16">50</td> </tr> <tr class="ltx_tr" id="S12.T16.3.3.27.23"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.27.23.1">Hotdog</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.27.23.2">37.80</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.27.23.3">0.982</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.27.23.4">0.032</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.27.23.5">5</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.27.23.6">97</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.27.23.7">37.82</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.27.23.8">0.982</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.27.23.9">0.032</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.27.23.10">6</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.27.23.11">102</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.27.23.12">38.02</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.27.23.13">0.983</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.27.23.14">0.029</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.27.23.15">7</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.27.23.16">98</td> </tr> <tr class="ltx_tr" id="S12.T16.3.3.28.24"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.28.24.1">Materials</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.28.24.2">29.97</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.28.24.3">0.948</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.28.24.4">0.066</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.28.24.5">36</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.28.24.6">151</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.28.24.7">30.18</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.28.24.8">0.952</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.28.24.9">0.061</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.28.24.10">47</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.28.24.11">167</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.28.24.12">30.36</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.28.24.13">0.954</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.28.24.14">0.058</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.28.24.15">53</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.28.24.16">165</td> </tr> <tr class="ltx_tr" id="S12.T16.3.3.29.25"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.29.25.1">Ficus</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.29.25.2">35.68</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.29.25.3">0.987</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.29.25.4">0.019</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.29.25.5">12</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.29.25.6">76</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.29.25.7">35.81</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.29.25.8">0.987</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.29.25.9">0.018</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.29.25.10">13</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.29.25.11">76</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.29.25.12">35.65</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.29.25.13">0.987</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.29.25.14">0.018</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.29.25.15">14</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.29.25.16">75</td> </tr> <tr class="ltx_tr" id="S12.T16.3.3.30.26"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.30.26.1">Drums</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.30.26.2">26.16</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.30.26.3">0.934</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.30.26.4">0.074</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.30.26.5">24</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.30.26.6">93</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.30.26.7">26.28</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.30.26.8">0.936</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.30.26.9">0.072</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.30.26.10">30</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.30.26.11">100</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.30.26.12">26.29</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.30.26.13">0.937</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.30.26.14">0.071</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.30.26.15">33</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.30.26.16">116</td> </tr> <tr class="ltx_tr" id="S12.T16.3.3.31.27"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T16.3.3.31.27.1">avg</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.31.27.2">33.61</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.31.27.3">0.962</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.31.27.4">0.047</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.31.27.5">15</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T16.3.3.31.27.6">111</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.31.27.7">33.72</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.31.27.8">0.964</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.31.27.9">0.045</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.31.27.10">19</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T16.3.3.31.27.11">117</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.31.27.12">33.83</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.31.27.13">0.965</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.31.27.14">0.043</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.31.27.15">21</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.31.27.16">123</td> </tr> <tr class="ltx_tr" id="S12.T16.3.3.32.28"> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r ltx_border_t" id="S12.T16.3.3.32.28.1" rowspan="9">Ens</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T16.3.3.32.28.2">Lego</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.32.28.3">36.25</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.32.28.4">0.981</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.32.28.5">0.020</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.32.28.6">13</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T16.3.3.32.28.7">67</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.32.28.8">36.55</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.32.28.9">0.982</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.32.28.10">0.018</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.32.28.11">15</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T16.3.3.32.28.12">91</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.32.28.13">36.67</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.32.28.14">0.984</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.32.28.15">0.017</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.32.28.16">19</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T16.3.3.32.28.17">118</td> </tr> <tr class="ltx_tr" id="S12.T16.3.3.33.29"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.33.29.1">Mic</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.33.29.2">36.95</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.33.29.3">0.992</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.33.29.4">0.013</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.33.29.5">11</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.33.29.6">53</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.33.29.7">37.32</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.33.29.8">0.992</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.33.29.9">0.012</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.33.29.10">13</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.33.29.11">71</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.33.29.12">37.62</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.33.29.13">0.993</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.33.29.14">0.010</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.33.29.15">14</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.33.29.16">89</td> </tr> <tr class="ltx_tr" id="S12.T16.3.3.34.30"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.34.30.1">Ship</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.34.30.2">30.66</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.34.30.3">0.893</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.34.30.4">0.129</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.34.30.5">25</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.34.30.6">385</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.34.30.7">30.97</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.34.30.8">0.897</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.34.30.9">0.124</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.34.30.10">26</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.34.30.11">526</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.34.30.12">31.19</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.34.30.13">0.899</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.34.30.14">0.121</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.34.30.15">31</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.34.30.16">657</td> </tr> <tr class="ltx_tr" id="S12.T16.3.3.35.31"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.35.31.1">Chair</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.35.31.2">26.24</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.35.31.3">0.936</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.35.31.4">0.073</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.35.31.5">5</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.35.31.6">93</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.35.31.7">26.42</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.35.31.8">0.938</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.35.31.9">0.070</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.35.31.10">6</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.35.31.11">125</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.35.31.12">26.53</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.35.31.13">0.941</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.35.31.14">0.067</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.35.31.15">6</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.35.31.16">159</td> </tr> <tr class="ltx_tr" id="S12.T16.3.3.36.32"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.36.32.1">Hotdog</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.36.32.2">34.77</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.36.32.3">0.985</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.36.32.4">0.022</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.36.32.5">6</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.36.32.6">54</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.36.32.7">35.07</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.36.32.8">0.986</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.36.32.9">0.020</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.36.32.10">6</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.36.32.11">71</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.36.32.12">35.26</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.36.32.13">0.986</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.36.32.14">0.019</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.36.32.15">6</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.36.32.16">92</td> </tr> <tr class="ltx_tr" id="S12.T16.3.3.37.33"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.37.33.1">Materials</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.37.33.2">29.85</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.37.33.3">0.948</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.37.33.4">0.066</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.37.33.5">43</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.37.33.6">174</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.37.33.7">30.15</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.37.33.8">0.952</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.37.33.9">0.060</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.37.33.10">53</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.37.33.11">232</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.37.33.12">30.36</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.37.33.13">0.955</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.37.33.14">0.055</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.37.33.15">65</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.37.33.16">289</td> </tr> <tr class="ltx_tr" id="S12.T16.3.3.38.34"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.38.34.1">Ficus</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.38.34.2">37.74</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.38.34.3">0.982</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.38.34.4">0.031</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.38.34.5">14</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.38.34.6">112</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.38.34.7">37.94</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.38.34.8">0.984</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.38.34.9">0.029</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.38.34.10">16</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.38.34.11">153</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.38.34.12">38.11</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.38.34.13">0.984</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.38.34.14">0.027</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.38.34.15">18</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.38.34.16">197</td> </tr> <tr class="ltx_tr" id="S12.T16.3.3.39.35"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.39.35.1">Drums</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.39.35.2">35.77</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.39.35.3">0.985</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.39.35.4">0.021</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.39.35.5">28</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.39.35.6">36</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.39.35.7">36.13</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.39.35.8">0.984</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.39.35.9">0.018</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.39.35.10">35</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T16.3.3.39.35.11">49</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.39.35.12">36.33</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.39.35.13">0.987</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.39.35.14">0.017</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.39.35.15">44</td> <td class="ltx_td ltx_align_center" id="S12.T16.3.3.39.35.16">63</td> </tr> <tr class="ltx_tr" id="S12.T16.3.3.40.36"> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r ltx_border_t" id="S12.T16.3.3.40.36.1">avg</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T16.3.3.40.36.2">33.53</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T16.3.3.40.36.3">0.963</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T16.3.3.40.36.4">0.047</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T16.3.3.40.36.5">18</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r ltx_border_t" id="S12.T16.3.3.40.36.6">122</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T16.3.3.40.36.7">33.82</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T16.3.3.40.36.8">0.964</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T16.3.3.40.36.9">0.044</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T16.3.3.40.36.10">21</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r ltx_border_t" id="S12.T16.3.3.40.36.11">165</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T16.3.3.40.36.12">34.01</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T16.3.3.40.36.13">0.966</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T16.3.3.40.36.14">0.042</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T16.3.3.40.36.15">26</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T16.3.3.40.36.16">208</td> </tr> </tbody> </table> </div> </figure> <figure class="ltx_table" id="S12.T17"> <figcaption class="ltx_caption">Table 17: Per-scene results on NSVF with Instant-NGP</figcaption> <div class="ltx_inline-block ltx_transformed_outer" id="S12.T17.3" style="width:433.6pt;height:405pt;vertical-align:-0.0pt;"> 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class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T17.3.3.3.6">LPIPS</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T17.1.1.1.1"><math alttext="\|w\||_{0}" class="ltx_Math" display="inline" id="S12.T17.1.1.1.1.m1.3"><semantics id="S12.T17.1.1.1.1.m1.3a"><msub id="S12.T17.1.1.1.1.m1.3.3.1" xref="S12.T17.1.1.1.1.m1.3.3.2.cmml"><mrow id="S12.T17.1.1.1.1.m1.3.3.1.1" xref="S12.T17.1.1.1.1.m1.3.3.2.cmml"><mrow id="S12.T17.1.1.1.1.m1.3.3.1.1.1.2" xref="S12.T17.1.1.1.1.m1.3.3.1.1.1.1.cmml"><mo id="S12.T17.1.1.1.1.m1.3.3.1.1.1.2.1" stretchy="false" xref="S12.T17.1.1.1.1.m1.3.3.1.1.1.1.1.cmml">‖</mo><mi id="S12.T17.1.1.1.1.m1.1.1" xref="S12.T17.1.1.1.1.m1.1.1.cmml">w</mi><mo id="S12.T17.1.1.1.1.m1.3.3.1.1.1.2.2" stretchy="false" xref="S12.T17.1.1.1.1.m1.3.3.1.1.1.1.1.cmml">‖</mo></mrow><mo id="S12.T17.1.1.1.1.m1.3.3.1.1.2" stretchy="false" xref="S12.T17.1.1.1.1.m1.3.3.2.1.cmml">|</mo></mrow><mn id="S12.T17.1.1.1.1.m1.2.2.1" 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ltx_align_center ltx_th ltx_th_column ltx_border_r ltx_border_t" id="S12.T17.3.3.3.7">GFLOPs</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T17.3.3.3.8">PSNR</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T17.3.3.3.9">SSIM</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T17.3.3.3.10">LPIPS</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T17.2.2.2.2"><math alttext="\|w\||_{0}" class="ltx_Math" display="inline" id="S12.T17.2.2.2.2.m1.3"><semantics id="S12.T17.2.2.2.2.m1.3a"><msub id="S12.T17.2.2.2.2.m1.3.3.1" xref="S12.T17.2.2.2.2.m1.3.3.2.cmml"><mrow id="S12.T17.2.2.2.2.m1.3.3.1.1" xref="S12.T17.2.2.2.2.m1.3.3.2.cmml"><mrow id="S12.T17.2.2.2.2.m1.3.3.1.1.1.2" xref="S12.T17.2.2.2.2.m1.3.3.1.1.1.1.cmml"><mo id="S12.T17.2.2.2.2.m1.3.3.1.1.1.2.1" stretchy="false" xref="S12.T17.2.2.2.2.m1.3.3.1.1.1.1.1.cmml">‖</mo><mi id="S12.T17.2.2.2.2.m1.1.1" xref="S12.T17.2.2.2.2.m1.1.1.cmml">w</mi><mo id="S12.T17.2.2.2.2.m1.3.3.1.1.1.2.2" stretchy="false" xref="S12.T17.2.2.2.2.m1.3.3.1.1.1.1.1.cmml">‖</mo></mrow><mo id="S12.T17.2.2.2.2.m1.3.3.1.1.2" stretchy="false" xref="S12.T17.2.2.2.2.m1.3.3.2.1.cmml">|</mo></mrow><mn id="S12.T17.2.2.2.2.m1.2.2.1" xref="S12.T17.2.2.2.2.m1.2.2.1.cmml">0</mn></msub><annotation-xml encoding="MathML-Content" id="S12.T17.2.2.2.2.m1.3b"><apply id="S12.T17.2.2.2.2.m1.3.3.2.cmml" xref="S12.T17.2.2.2.2.m1.3.3.1"><csymbol cd="latexml" id="S12.T17.2.2.2.2.m1.3.3.2.1.cmml" xref="S12.T17.2.2.2.2.m1.3.3.1.1.2">evaluated-at</csymbol><apply id="S12.T17.2.2.2.2.m1.3.3.1.1.1.1.cmml" xref="S12.T17.2.2.2.2.m1.3.3.1.1.1.2"><csymbol cd="latexml" id="S12.T17.2.2.2.2.m1.3.3.1.1.1.1.1.cmml" xref="S12.T17.2.2.2.2.m1.3.3.1.1.1.2.1">norm</csymbol><ci id="S12.T17.2.2.2.2.m1.1.1.cmml" xref="S12.T17.2.2.2.2.m1.1.1">𝑤</ci></apply><cn id="S12.T17.2.2.2.2.m1.2.2.1.cmml" type="integer" xref="S12.T17.2.2.2.2.m1.2.2.1">0</cn></apply></annotation-xml><annotation encoding="application/x-tex" id="S12.T17.2.2.2.2.m1.3c">\|w\||_{0}</annotation><annotation encoding="application/x-llamapun" id="S12.T17.2.2.2.2.m1.3d">∥ italic_w ∥ | start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT</annotation></semantics></math></th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_r ltx_border_t" id="S12.T17.3.3.3.11">GFLOPs</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T17.3.3.3.12">PSNR</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T17.3.3.3.13">SSIM</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T17.3.3.3.14">LPIPS</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T17.3.3.3.3"><math alttext="\|w\||_{0}" class="ltx_Math" display="inline" id="S12.T17.3.3.3.3.m1.3"><semantics id="S12.T17.3.3.3.3.m1.3a"><msub id="S12.T17.3.3.3.3.m1.3.3.1" xref="S12.T17.3.3.3.3.m1.3.3.2.cmml"><mrow id="S12.T17.3.3.3.3.m1.3.3.1.1" xref="S12.T17.3.3.3.3.m1.3.3.2.cmml"><mrow id="S12.T17.3.3.3.3.m1.3.3.1.1.1.2" xref="S12.T17.3.3.3.3.m1.3.3.1.1.1.1.cmml"><mo id="S12.T17.3.3.3.3.m1.3.3.1.1.1.2.1" stretchy="false" xref="S12.T17.3.3.3.3.m1.3.3.1.1.1.1.1.cmml">‖</mo><mi id="S12.T17.3.3.3.3.m1.1.1" xref="S12.T17.3.3.3.3.m1.1.1.cmml">w</mi><mo id="S12.T17.3.3.3.3.m1.3.3.1.1.1.2.2" stretchy="false" xref="S12.T17.3.3.3.3.m1.3.3.1.1.1.1.1.cmml">‖</mo></mrow><mo id="S12.T17.3.3.3.3.m1.3.3.1.1.2" stretchy="false" xref="S12.T17.3.3.3.3.m1.3.3.2.1.cmml">|</mo></mrow><mn id="S12.T17.3.3.3.3.m1.2.2.1" xref="S12.T17.3.3.3.3.m1.2.2.1.cmml">0</mn></msub><annotation-xml encoding="MathML-Content" id="S12.T17.3.3.3.3.m1.3b"><apply id="S12.T17.3.3.3.3.m1.3.3.2.cmml" xref="S12.T17.3.3.3.3.m1.3.3.1"><csymbol cd="latexml" id="S12.T17.3.3.3.3.m1.3.3.2.1.cmml" xref="S12.T17.3.3.3.3.m1.3.3.1.1.2">evaluated-at</csymbol><apply id="S12.T17.3.3.3.3.m1.3.3.1.1.1.1.cmml" xref="S12.T17.3.3.3.3.m1.3.3.1.1.1.2"><csymbol cd="latexml" id="S12.T17.3.3.3.3.m1.3.3.1.1.1.1.1.cmml" xref="S12.T17.3.3.3.3.m1.3.3.1.1.1.2.1">norm</csymbol><ci id="S12.T17.3.3.3.3.m1.1.1.cmml" xref="S12.T17.3.3.3.3.m1.1.1">𝑤</ci></apply><cn id="S12.T17.3.3.3.3.m1.2.2.1.cmml" type="integer" xref="S12.T17.3.3.3.3.m1.2.2.1">0</cn></apply></annotation-xml><annotation encoding="application/x-tex" id="S12.T17.3.3.3.3.m1.3c">\|w\||_{0}</annotation><annotation encoding="application/x-llamapun" id="S12.T17.3.3.3.3.m1.3d">∥ italic_w ∥ | start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT</annotation></semantics></math></th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T17.3.3.3.15">GFLOPs</th> </tr> </thead> <tbody class="ltx_tbody"> <tr class="ltx_tr" id="S12.T17.3.3.5.1"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T17.3.3.5.1.1" rowspan="9">Baseline</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T17.3.3.5.1.2">Bike</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.5.1.3">37.86</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.5.1.4">0.990</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.5.1.5">0.004</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.5.1.6">13</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T17.3.3.5.1.7">12</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.5.1.8">38.04</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.5.1.9">0.991</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.5.1.10">0.004</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.5.1.11">17</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T17.3.3.5.1.12">17</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.5.1.13">38.45</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.5.1.14">0.991</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.5.1.15">0.003</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.5.1.16">20</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.5.1.17">17</td> </tr> <tr class="ltx_tr" id="S12.T17.3.3.6.2"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.6.2.1">Lifestyle</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.6.2.2">34.80</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.6.2.3">0.968</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.6.2.4">0.019</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.6.2.5">24</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.6.2.6">31</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.6.2.7">34.95</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.6.2.8">0.970</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.6.2.9">0.018</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.6.2.10">30</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.6.2.11">49</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.6.2.12">35.05</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.6.2.13">0.970</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.6.2.14">0.017</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.6.2.15">35</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.6.2.16">51</td> </tr> <tr class="ltx_tr" id="S12.T17.3.3.7.3"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.7.3.1">Palace</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.7.3.2">37.66</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.7.3.3">0.978</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.7.3.4">0.010</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.7.3.5">27</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.7.3.6">31</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.7.3.7">38.18</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.7.3.8">0.981</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.7.3.9">0.008</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.7.3.10">31</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.7.3.11">35</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.7.3.12">38.38</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.7.3.13">0.982</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.7.3.14">0.008</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.7.3.15">32</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.7.3.16">37</td> </tr> <tr class="ltx_tr" id="S12.T17.3.3.8.4"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.8.4.1">Robot</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.8.4.2">37.02</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.8.4.3">0.994</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.8.4.4">0.004</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.8.4.5">20</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.8.4.6">13</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.8.4.7">37.44</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.8.4.8">0.994</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.8.4.9">0.004</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.8.4.10">26</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.8.4.11">14</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.8.4.12">37.50</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.8.4.13">0.994</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.8.4.14">0.004</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.8.4.15">32</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.8.4.16">17</td> </tr> <tr class="ltx_tr" id="S12.T17.3.3.9.5"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.9.5.1">Spaceship</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.9.5.2">36.74</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.9.5.3">0.984</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.9.5.4">0.013</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.9.5.5">12</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.9.5.6">17</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.9.5.7">36.77</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.9.5.8">0.984</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.9.5.9">0.013</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.9.5.10">13</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.9.5.11">21</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.9.5.12">36.76</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.9.5.13">0.985</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.9.5.14">0.013</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.9.5.15">16</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.9.5.16">23</td> </tr> <tr class="ltx_tr" id="S12.T17.3.3.10.6"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.10.6.1">Streamtrain</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.10.6.2">36.54</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.10.6.3">0.988</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.10.6.4">0.009</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.10.6.5">21</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.10.6.6">18</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.10.6.7">36.50</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.10.6.8">0.988</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.10.6.9">0.009</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.10.6.10">30</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.10.6.11">22</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.10.6.12">36.71</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.10.6.13">0.989</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.10.6.14">0.008</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.10.6.15">37</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.10.6.16">23</td> </tr> <tr class="ltx_tr" id="S12.T17.3.3.11.7"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.11.7.1">Toad</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.11.7.2">35.94</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.11.7.3">0.981</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.11.7.4">0.012</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.11.7.5">13</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.11.7.6">17</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.11.7.7">36.32</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.11.7.8">0.983</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.11.7.9">0.011</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.11.7.10">15</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.11.7.11">23</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.11.7.12">36.59</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.11.7.13">0.984</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.11.7.14">0.010</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.11.7.15">15</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.11.7.16">25</td> </tr> <tr class="ltx_tr" id="S12.T17.3.3.12.8"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.12.8.1">Wineholder</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.12.8.2">31.89</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.12.8.3">0.964</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.12.8.4">0.021</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.12.8.5">31</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.12.8.6">24</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.12.8.7">31.97</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.12.8.8">0.966</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.12.8.9">0.021</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.12.8.10">41</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.12.8.11">33</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.12.8.12">32.07</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.12.8.13">0.967</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.12.8.14">0.020</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.12.8.15">54</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.12.8.16">35</td> </tr> <tr class="ltx_tr" id="S12.T17.3.3.13.9"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T17.3.3.13.9.1">avg</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.13.9.2">36.06</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.13.9.3">0.981</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.13.9.4">0.012</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.13.9.5">20</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T17.3.3.13.9.6">20</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.13.9.7">36.27</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.13.9.8">0.982</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.13.9.9">0.011</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.13.9.10">26</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T17.3.3.13.9.11">27</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.13.9.12">36.44</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.13.9.13">0.983</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.13.9.14">0.010</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.13.9.15">30</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.13.9.16">28</td> </tr> <tr class="ltx_tr" id="S12.T17.3.3.14.10"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T17.3.3.14.10.1" rowspan="9">Top-1</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T17.3.3.14.10.2">Bike</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.14.10.3">38.41</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.14.10.4">0.989</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.14.10.5">0.013</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.14.10.6">11</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T17.3.3.14.10.7">32</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.14.10.8">38.50</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.14.10.9">0.990</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.14.10.10">0.013</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.14.10.11">11</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T17.3.3.14.10.12">32</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.14.10.13">38.79</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.14.10.14">0.991</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.14.10.15">0.011</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.14.10.16">13</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.14.10.17">37</td> </tr> <tr class="ltx_tr" id="S12.T17.3.3.15.11"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.15.11.1">Lifestyle</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.15.11.2">35.06</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.15.11.3">0.968</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.15.11.4">0.043</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.15.11.5">15</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.15.11.6">81</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.15.11.7">35.25</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.15.11.8">0.970</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.15.11.9">0.040</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.15.11.10">15</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.15.11.11">86</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.15.11.12">35.29</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.15.11.13">0.971</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.15.11.14">0.039</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.15.11.15">17</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.15.11.16">88</td> </tr> <tr class="ltx_tr" id="S12.T17.3.3.16.12"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.16.12.1">Palace</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.16.12.2">37.42</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.16.12.3">0.978</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.16.12.4">0.019</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.16.12.5">19</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.16.12.6">62</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.16.12.7">37.46</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.16.12.8">0.981</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.16.12.9">0.017</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.16.12.10">21</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.16.12.11">67</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.16.12.12">37.66</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.16.12.13">0.981</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.16.12.14">0.017</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.16.12.15">22</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.16.12.16">68</td> </tr> <tr class="ltx_tr" id="S12.T17.3.3.17.13"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.17.13.1">Robot</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.17.13.2">37.60</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.17.13.3">0.995</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.17.13.4">0.009</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.17.13.5">17</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.17.13.6">32</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.17.13.7">37.72</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.17.13.8">0.995</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.17.13.9">0.009</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.17.13.10">18</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.17.13.11">32</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.17.13.12">37.75</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.17.13.13">0.995</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.17.13.14">0.009</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.17.13.15">21</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.17.13.16">36</td> </tr> <tr class="ltx_tr" id="S12.T17.3.3.18.14"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.18.14.1">Spaceship</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.18.14.2">37.22</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.18.14.3">0.985</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.18.14.4">0.023</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.18.14.5">9</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.18.14.6">39</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.18.14.7">37.33</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.18.14.8">0.985</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.18.14.9">0.024</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.18.14.10">11</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.18.14.11">40</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.18.14.12">37.48</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.18.14.13">0.985</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.18.14.14">0.024</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.18.14.15">12</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.18.14.16">41</td> </tr> <tr class="ltx_tr" id="S12.T17.3.3.19.15"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.19.15.1">Streamtrain</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.19.15.2">36.88</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.19.15.3">0.988</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.19.15.4">0.014</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.19.15.5">18</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.19.15.6">38</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.19.15.7">37.02</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.19.15.8">0.989</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.19.15.9">0.017</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.19.15.10">18</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.19.15.11">37</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.19.15.12">37.29</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.19.15.13">0.989</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.19.15.14">0.017</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.19.15.15">20</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.19.15.16">47</td> </tr> <tr class="ltx_tr" id="S12.T17.3.3.20.16"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.20.16.1">Toad</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.20.16.2">35.99</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.20.16.3">0.980</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.20.16.4">0.021</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.20.16.5">10</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.20.16.6">34</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.20.16.7">36.15</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.20.16.8">0.981</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.20.16.9">0.021</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.20.16.10">11</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.20.16.11">35</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.20.16.12">36.15</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.20.16.13">0.982</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.20.16.14">0.021</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.20.16.15">13</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.20.16.16">39</td> </tr> <tr class="ltx_tr" id="S12.T17.3.3.21.17"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.21.17.1">Wineholder</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.21.17.2">32.04</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.21.17.3">0.965</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.21.17.4">0.045</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.21.17.5">18</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.21.17.6">51</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.21.17.7">32.13</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.21.17.8">0.968</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.21.17.9">0.043</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.21.17.10">20</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.21.17.11">52</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.21.17.12">32.35</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.21.17.13">0.969</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.21.17.14">0.043</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.21.17.15">21</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.21.17.16">59</td> </tr> <tr class="ltx_tr" id="S12.T17.3.3.22.18"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T17.3.3.22.18.1">avg</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.22.18.2">36.33</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.22.18.3">0.981</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.22.18.4">0.024</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.22.18.5">15</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T17.3.3.22.18.6">46</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.22.18.7">36.44</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.22.18.8">0.982</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.22.18.9">0.023</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.22.18.10">16</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T17.3.3.22.18.11">48</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.22.18.12">36.59</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.22.18.13">0.983</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.22.18.14">0.023</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.22.18.15">17</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.22.18.16">52</td> </tr> <tr class="ltx_tr" id="S12.T17.3.3.23.19"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T17.3.3.23.19.1" rowspan="9">Top-2</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T17.3.3.23.19.2">Bike</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.23.19.3">38.63</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.23.19.4">0.991</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.23.19.5">0.013</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.23.19.6">12</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T17.3.3.23.19.7">52</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.23.19.8">38.76</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.23.19.9">0.992</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.23.19.10">0.013</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.23.19.11">11</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T17.3.3.23.19.12">55</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.23.19.13">38.76</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.23.19.14">0.992</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.23.19.15">0.013</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.23.19.16">11</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.23.19.17">57</td> </tr> <tr class="ltx_tr" id="S12.T17.3.3.24.20"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.24.20.1">Lifestyle</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.24.20.2">35.36</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.24.20.3">0.968</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.24.20.4">0.041</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.24.20.5">16</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.24.20.6">88</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.24.20.7">35.49</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.24.20.8">0.970</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.24.20.9">0.039</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.24.20.10">18</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.24.20.11">98</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.24.20.12">35.66</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.24.20.13">0.971</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.24.20.14">0.037</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.24.20.15">21</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.24.20.16">103</td> </tr> <tr class="ltx_tr" id="S12.T17.3.3.25.21"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.25.21.1">Palace</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.25.21.2">37.74</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.25.21.3">0.978</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.25.21.4">0.019</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.25.21.5">20</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.25.21.6">87</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.25.21.7">38.18</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.25.21.8">0.980</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.25.21.9">0.017</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.25.21.10">23</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.25.21.11">94</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.25.21.12">38.56</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.25.21.13">0.982</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.25.21.14">0.016</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.25.21.15">24</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.25.21.16">101</td> </tr> <tr class="ltx_tr" id="S12.T17.3.3.26.22"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.26.22.1">Robot</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.26.22.2">37.86</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.26.22.3">0.996</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.26.22.4">0.009</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.26.22.5">18</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.26.22.6">55</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.26.22.7">38.01</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.26.22.8">0.996</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.26.22.9">0.009</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.26.22.10">19</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.26.22.11">57</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.26.22.12">38.15</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.26.22.13">0.996</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.26.22.14">0.009</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.26.22.15">22</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.26.22.16">59</td> </tr> <tr class="ltx_tr" id="S12.T17.3.3.27.23"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.27.23.1">Spaceship</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.27.23.2">37.58</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.27.23.3">0.985</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.27.23.4">0.024</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.27.23.5">6</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.27.23.6">47</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.27.23.7">37.83</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.27.23.8">0.986</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.27.23.9">0.024</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.27.23.10">10</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.27.23.11">60</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.27.23.12">38.23</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.27.23.13">0.987</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.27.23.14">0.022</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.27.23.15">11</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.27.23.16">64</td> </tr> <tr class="ltx_tr" id="S12.T17.3.3.28.24"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.28.24.1">Streamtrain</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.28.24.2">37.05</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.28.24.3">0.989</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.28.24.4">0.018</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.28.24.5">17</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.28.24.6">54</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.28.24.7">37.19</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.28.24.8">0.990</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.28.24.9">0.017</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.28.24.10">23</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.28.24.11">60</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.28.24.12">37.24</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.28.24.13">0.990</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.28.24.14">0.017</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.28.24.15">24</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.28.24.16">64</td> </tr> <tr class="ltx_tr" id="S12.T17.3.3.29.25"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.29.25.1">Toad</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.29.25.2">36.13</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.29.25.3">0.982</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.29.25.4">0.022</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.29.25.5">9</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.29.25.6">48</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.29.25.7">36.45</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.29.25.8">0.983</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.29.25.9">0.020</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.29.25.10">12</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.29.25.11">49</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.29.25.12">36.92</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.29.25.13">0.984</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.29.25.14">0.018</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.29.25.15">12</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.29.25.16">53</td> </tr> <tr class="ltx_tr" id="S12.T17.3.3.30.26"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.30.26.1">Wineholder</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.30.26.2">32.56</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.30.26.3">0.967</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.30.26.4">0.044</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.30.26.5">26</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.30.26.6">71</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.30.26.7">32.75</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.30.26.8">0.968</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.30.26.9">0.042</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.30.26.10">27</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.30.26.11">78</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.30.26.12">32.78</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.30.26.13">0.969</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.30.26.14">0.040</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.30.26.15">30</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.30.26.16">82</td> </tr> <tr class="ltx_tr" id="S12.T17.3.3.31.27"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T17.3.3.31.27.1">avg</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.31.27.2">36.61</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.31.27.3">0.982</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.31.27.4">0.024</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.31.27.5">16</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T17.3.3.31.27.6">63</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.31.27.7">36.83</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.31.27.8">0.983</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.31.27.9">0.023</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.31.27.10">18</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T17.3.3.31.27.11">69</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.31.27.12">37.04</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.31.27.13">0.984</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.31.27.14">0.022</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.31.27.15">20</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.31.27.16">73</td> </tr> <tr class="ltx_tr" id="S12.T17.3.3.32.28"> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r ltx_border_t" id="S12.T17.3.3.32.28.1" rowspan="9">Ens</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T17.3.3.32.28.2">Bike</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.32.28.3">38.63</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.32.28.4">0.991</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.32.28.5">0.013</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.32.28.6">12</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T17.3.3.32.28.7">40</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.32.28.8">38.98</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.32.28.9">0.992</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.32.28.10">0.012</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.32.28.11">15</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T17.3.3.32.28.12">55</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.32.28.13">39.28</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.32.28.14">0.993</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.32.28.15">0.011</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.32.28.16">17</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T17.3.3.32.28.17">68</td> </tr> <tr class="ltx_tr" id="S12.T17.3.3.33.29"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.33.29.1">Lifestyle</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.33.29.2">35.40</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.33.29.3">0.968</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.33.29.4">0.040</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.33.29.5">20</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.33.29.6">148</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.33.29.7">35.71</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.33.29.8">0.971</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.33.29.9">0.037</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.33.29.10">22</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.33.29.11">197</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.33.29.12">35.90</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.33.29.13">0.971</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.33.29.14">0.035</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.33.29.15">27</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.33.29.16">253</td> </tr> <tr class="ltx_tr" id="S12.T17.3.3.34.30"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.34.30.1">Palace</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.34.30.2">37.94</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.34.30.3">0.979</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.34.30.4">0.018</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.34.30.5">20</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.34.30.6">100</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.34.30.7">38.45</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.34.30.8">0.982</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.34.30.9">0.016</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.34.30.10">24</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.34.30.11">136</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.34.30.12">38.87</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.34.30.13">0.984</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.34.30.14">0.015</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.34.30.15">27</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.34.30.16">173</td> </tr> <tr class="ltx_tr" id="S12.T17.3.3.35.31"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.35.31.1">Robot</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.35.31.2">37.72</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.35.31.3">0.994</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.35.31.4">0.009</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.35.31.5">19</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.35.31.6">40</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.35.31.7">38.16</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.35.31.8">0.996</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.35.31.9">0.009</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.35.31.10">25</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.35.31.11">54</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.35.31.12">38.46</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.35.31.13">0.995</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.35.31.14">0.009</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.35.31.15">29</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.35.31.16">69</td> </tr> <tr class="ltx_tr" id="S12.T17.3.3.36.32"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.36.32.1">Spaceship</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.36.32.2">37.58</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.36.32.3">0.986</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.36.32.4">0.024</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.36.32.5">10</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.36.32.6">58</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.36.32.7">38.03</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.36.32.8">0.987</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.36.32.9">0.022</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.36.32.10">12</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.36.32.11">78</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.36.32.12">38.40</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.36.32.13">0.988</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.36.32.14">0.021</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.36.32.15">13</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.36.32.16">98</td> </tr> <tr class="ltx_tr" id="S12.T17.3.3.37.33"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.37.33.1">Streamtrain</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.37.33.2">36.87</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.37.33.3">0.989</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.37.33.4">0.018</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.37.33.5">21</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.37.33.6">50</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.37.33.7">37.15</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.37.33.8">0.990</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.37.33.9">0.017</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.37.33.10">26</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.37.33.11">67</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.37.33.12">37.32</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.37.33.13">0.990</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.37.33.14">0.016</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.37.33.15">34</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.37.33.16">86</td> </tr> <tr class="ltx_tr" id="S12.T17.3.3.38.34"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.38.34.1">Toad</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.38.34.2">36.05</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.38.34.3">0.982</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.38.34.4">0.022</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.38.34.5">12</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.38.34.6">49</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.38.34.7">36.63</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.38.34.8">0.983</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.38.34.9">0.019</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.38.34.10">12</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.38.34.11">67</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.38.34.12">37.14</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.38.34.13">0.985</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.38.34.14">0.018</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.38.34.15">15</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.38.34.16">85</td> </tr> <tr class="ltx_tr" id="S12.T17.3.3.39.35"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.39.35.1">Wineholder</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.39.35.2">32.49</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.39.35.3">0.967</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.39.35.4">0.043</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.39.35.5">29</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.39.35.6">86</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.39.35.7">32.84</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.39.35.8">0.970</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.39.35.9">0.040</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.39.35.10">37</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T17.3.3.39.35.11">116</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.39.35.12">33.10</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.39.35.13">0.972</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.39.35.14">0.038</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.39.35.15">48</td> <td class="ltx_td ltx_align_center" id="S12.T17.3.3.39.35.16">149</td> </tr> <tr class="ltx_tr" id="S12.T17.3.3.40.36"> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r ltx_border_t" id="S12.T17.3.3.40.36.1">avg</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T17.3.3.40.36.2">36.58</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T17.3.3.40.36.3">0.982</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T17.3.3.40.36.4">0.023</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T17.3.3.40.36.5">18</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r ltx_border_t" id="S12.T17.3.3.40.36.6">71</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T17.3.3.40.36.7">36.99</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T17.3.3.40.36.8">0.984</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T17.3.3.40.36.9">0.022</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T17.3.3.40.36.10">22</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r ltx_border_t" id="S12.T17.3.3.40.36.11">96</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T17.3.3.40.36.12">37.31</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T17.3.3.40.36.13">0.985</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T17.3.3.40.36.14">0.020</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T17.3.3.40.36.15">27</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T17.3.3.40.36.16">123</td> </tr> </tbody> </table> </div> </figure> <figure class="ltx_table" id="S12.T18"> <figcaption class="ltx_caption">Table 18: Per-scene results on TanksAndTemple with Instant-NGP</figcaption> <div class="ltx_inline-block ltx_transformed_outer" id="S12.T18.3" style="width:433.6pt;height:278.9pt;vertical-align:-0.0pt;"> <table class="ltx_tabular ltx_guessed_headers ltx_align_middle" id="S12.T18.3.3"> <thead class="ltx_thead"> <tr class="ltx_tr" id="S12.T18.3.3.4.1"> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T18.3.3.4.1.1" rowspan="2">Method</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T18.3.3.4.1.2" rowspan="2">Scene</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_r ltx_border_t" colspan="5" id="S12.T18.3.3.4.1.3">M=3</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_r ltx_border_t" colspan="5" id="S12.T18.3.3.4.1.4">M=4</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" colspan="5" id="S12.T18.3.3.4.1.5">M=5</th> </tr> <tr class="ltx_tr" id="S12.T18.3.3.3"> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T18.3.3.3.4">PSNR</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T18.3.3.3.5">SSIM</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T18.3.3.3.6">LPIPS</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T18.1.1.1.1"><math alttext="\|w\||_{0}" class="ltx_Math" display="inline" id="S12.T18.1.1.1.1.m1.3"><semantics id="S12.T18.1.1.1.1.m1.3a"><msub id="S12.T18.1.1.1.1.m1.3.3.1" xref="S12.T18.1.1.1.1.m1.3.3.2.cmml"><mrow id="S12.T18.1.1.1.1.m1.3.3.1.1" xref="S12.T18.1.1.1.1.m1.3.3.2.cmml"><mrow id="S12.T18.1.1.1.1.m1.3.3.1.1.1.2" xref="S12.T18.1.1.1.1.m1.3.3.1.1.1.1.cmml"><mo id="S12.T18.1.1.1.1.m1.3.3.1.1.1.2.1" stretchy="false" xref="S12.T18.1.1.1.1.m1.3.3.1.1.1.1.1.cmml">‖</mo><mi id="S12.T18.1.1.1.1.m1.1.1" xref="S12.T18.1.1.1.1.m1.1.1.cmml">w</mi><mo id="S12.T18.1.1.1.1.m1.3.3.1.1.1.2.2" stretchy="false" xref="S12.T18.1.1.1.1.m1.3.3.1.1.1.1.1.cmml">‖</mo></mrow><mo id="S12.T18.1.1.1.1.m1.3.3.1.1.2" stretchy="false" 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end_POSTSUBSCRIPT</annotation></semantics></math></th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_r ltx_border_t" id="S12.T18.3.3.3.7">GFLOPs</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T18.3.3.3.8">PSNR</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T18.3.3.3.9">SSIM</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T18.3.3.3.10">LPIPS</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T18.2.2.2.2"><math alttext="\|w\||_{0}" class="ltx_Math" display="inline" id="S12.T18.2.2.2.2.m1.3"><semantics id="S12.T18.2.2.2.2.m1.3a"><msub id="S12.T18.2.2.2.2.m1.3.3.1" xref="S12.T18.2.2.2.2.m1.3.3.2.cmml"><mrow id="S12.T18.2.2.2.2.m1.3.3.1.1" xref="S12.T18.2.2.2.2.m1.3.3.2.cmml"><mrow id="S12.T18.2.2.2.2.m1.3.3.1.1.1.2" xref="S12.T18.2.2.2.2.m1.3.3.1.1.1.1.cmml"><mo id="S12.T18.2.2.2.2.m1.3.3.1.1.1.2.1" stretchy="false" xref="S12.T18.2.2.2.2.m1.3.3.1.1.1.1.1.cmml">‖</mo><mi id="S12.T18.2.2.2.2.m1.1.1" xref="S12.T18.2.2.2.2.m1.1.1.cmml">w</mi><mo id="S12.T18.2.2.2.2.m1.3.3.1.1.1.2.2" stretchy="false" xref="S12.T18.2.2.2.2.m1.3.3.1.1.1.1.1.cmml">‖</mo></mrow><mo id="S12.T18.2.2.2.2.m1.3.3.1.1.2" stretchy="false" xref="S12.T18.2.2.2.2.m1.3.3.2.1.cmml">|</mo></mrow><mn id="S12.T18.2.2.2.2.m1.2.2.1" xref="S12.T18.2.2.2.2.m1.2.2.1.cmml">0</mn></msub><annotation-xml encoding="MathML-Content" id="S12.T18.2.2.2.2.m1.3b"><apply id="S12.T18.2.2.2.2.m1.3.3.2.cmml" xref="S12.T18.2.2.2.2.m1.3.3.1"><csymbol cd="latexml" id="S12.T18.2.2.2.2.m1.3.3.2.1.cmml" xref="S12.T18.2.2.2.2.m1.3.3.1.1.2">evaluated-at</csymbol><apply id="S12.T18.2.2.2.2.m1.3.3.1.1.1.1.cmml" xref="S12.T18.2.2.2.2.m1.3.3.1.1.1.2"><csymbol cd="latexml" id="S12.T18.2.2.2.2.m1.3.3.1.1.1.1.1.cmml" xref="S12.T18.2.2.2.2.m1.3.3.1.1.1.2.1">norm</csymbol><ci id="S12.T18.2.2.2.2.m1.1.1.cmml" xref="S12.T18.2.2.2.2.m1.1.1">𝑤</ci></apply><cn 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rowspan="6">Baseline</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T18.3.3.5.1.2">Ignatius</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.5.1.3">28.48</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.5.1.4">0.947</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.5.1.5">0.070</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.5.1.6">63</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T18.3.3.5.1.7">130</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.5.1.8">28.41</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.5.1.9">0.947</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.5.1.10">0.070</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.5.1.11">78</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T18.3.3.5.1.12">137</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.5.1.13">28.44</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.5.1.14">0.948</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.5.1.15">0.069</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.5.1.16">98</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.5.1.17">124</td> </tr> <tr class="ltx_tr" id="S12.T18.3.3.6.2"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T18.3.3.6.2.1">Caterpillar</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.6.2.2">26.30</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.6.2.3">0.913</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.6.2.4">0.111</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.6.2.5">47</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T18.3.3.6.2.6">178</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.6.2.7">26.32</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.6.2.8">0.915</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.6.2.9">0.109</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.6.2.10">63</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T18.3.3.6.2.11">174</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.6.2.12">26.42</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.6.2.13">0.915</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.6.2.14">0.107</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.6.2.15">92</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.6.2.16">178</td> </tr> <tr class="ltx_tr" id="S12.T18.3.3.7.3"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T18.3.3.7.3.1">Family</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.7.3.2">34.33</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.7.3.3">0.964</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.7.3.4">0.039</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.7.3.5">27</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T18.3.3.7.3.6">152</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.7.3.7">34.43</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.7.3.8">0.966</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.7.3.9">0.037</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.7.3.10">46</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T18.3.3.7.3.11">155</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.7.3.12">34.47</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.7.3.13">0.967</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.7.3.14">0.037</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.7.3.15">69</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.7.3.16">167</td> </tr> <tr class="ltx_tr" id="S12.T18.3.3.8.4"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T18.3.3.8.4.1">Barn</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.8.4.2">27.76</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.8.4.3">0.859</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.8.4.4">0.205</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.8.4.5">39</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T18.3.3.8.4.6">256</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.8.4.7">28.00</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.8.4.8">0.865</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.8.4.9">0.204</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.8.4.10">57</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T18.3.3.8.4.11">259</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.8.4.12">28.10</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.8.4.13">0.872</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.8.4.14">0.189</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.8.4.15">80</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.8.4.16">250</td> </tr> <tr class="ltx_tr" id="S12.T18.3.3.9.5"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T18.3.3.9.5.1">Truck</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.9.5.2">27.62</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.9.5.3">0.912</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.9.5.4">0.109</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.9.5.5">49</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T18.3.3.9.5.6">334</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.9.5.7">27.85</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.9.5.8">0.916</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.9.5.9">0.106</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.9.5.10">79</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T18.3.3.9.5.11">349</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.9.5.12">27.91</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.9.5.13">0.919</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.9.5.14">0.104</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.9.5.15">99</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.9.5.16">336</td> </tr> <tr class="ltx_tr" id="S12.T18.3.3.10.6"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T18.3.3.10.6.1">avg</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.10.6.2">28.90</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.10.6.3">0.919</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.10.6.4">0.107</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.10.6.5">45</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T18.3.3.10.6.6">210</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.10.6.7">29.00</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.10.6.8">0.922</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.10.6.9">0.105</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.10.6.10">65</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T18.3.3.10.6.11">215</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.10.6.12">29.07</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.10.6.13">0.924</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.10.6.14">0.101</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.10.6.15">88</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.10.6.16">211</td> </tr> <tr class="ltx_tr" id="S12.T18.3.3.11.7"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T18.3.3.11.7.1" rowspan="6">Top-1</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T18.3.3.11.7.2">Ignatius</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.11.7.3">28.24</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.11.7.4">0.946</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.11.7.5">0.077</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.11.7.6">32</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T18.3.3.11.7.7">205</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.11.7.8">28.19</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.11.7.9">0.928</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.11.7.10">0.145</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.11.7.11">48</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T18.3.3.11.7.12">211</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.11.7.13">28.46</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.11.7.14">0.930</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.11.7.15">0.072</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.11.7.16">61</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.11.7.17">209</td> </tr> <tr class="ltx_tr" id="S12.T18.3.3.12.8"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T18.3.3.12.8.1">Caterpillar</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.12.8.2">26.31</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.12.8.3">0.913</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.12.8.4">0.151</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.12.8.5">27</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T18.3.3.12.8.6">185</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.12.8.7">26.60</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.12.8.8">0.968</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.12.8.9">0.049</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.12.8.10">42</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T18.3.3.12.8.11">187</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.12.8.12">26.66</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.12.8.13">0.969</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.12.8.14">0.145</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.12.8.15">29</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.12.8.16">185</td> </tr> <tr class="ltx_tr" id="S12.T18.3.3.13.9"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T18.3.3.13.9.1">Family</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.13.9.2">34.60</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.13.9.3">0.965</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.13.9.4">0.052</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.13.9.5">25</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T18.3.3.13.9.6">247</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.13.9.7">34.66</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.13.9.8">0.873</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.13.9.9">0.225</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.13.9.10">26</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T18.3.3.13.9.11">252</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.13.9.12">34.87</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.13.9.13">0.875</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.13.9.14">0.049</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.13.9.15">32</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.13.9.16">235</td> </tr> <tr class="ltx_tr" id="S12.T18.3.3.14.10"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T18.3.3.14.10.1">Barn</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.14.10.2">28.31</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.14.10.3">0.862</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.14.10.4">0.236</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.14.10.5">23</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T18.3.3.14.10.6">232</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.14.10.7">28.52</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.14.10.8">0.920</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.14.10.9">0.128</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.14.10.10">33</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T18.3.3.14.10.11">254</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.14.10.12">28.65</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.14.10.13">0.920</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.14.10.14">0.227</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.14.10.15">22</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.14.10.16">264</td> </tr> <tr class="ltx_tr" id="S12.T18.3.3.15.11"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T18.3.3.15.11.1">Truck</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.15.11.2">27.71</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.15.11.3">0.905</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.15.11.4">0.136</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.15.11.5">29</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T18.3.3.15.11.6">230</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.15.11.7">27.94</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.15.11.8">0.949</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.15.11.9">0.076</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.15.11.10">46</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T18.3.3.15.11.11">251</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.15.11.12">27.96</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.15.11.13">0.951</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.15.11.14">0.129</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.15.11.15">42</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.15.11.16">251</td> </tr> <tr class="ltx_tr" id="S12.T18.3.3.16.12"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T18.3.3.16.12.1">avg</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.16.12.2">28.93</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.16.12.3">0.920</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.16.12.4">0.131</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.16.12.5">27</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T18.3.3.16.12.6">220</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.16.12.7">29.02</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.16.12.8">0.924</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.16.12.9">0.127</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.16.12.10">39</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T18.3.3.16.12.11">231</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.16.12.12">29.16</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.16.12.13">0.927</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.16.12.14">0.125</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.16.12.15">37</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.16.12.16">229</td> </tr> <tr class="ltx_tr" id="S12.T18.3.3.17.13"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T18.3.3.17.13.1" rowspan="6">Top-2</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T18.3.3.17.13.2">Ignatius</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.17.13.3">28.24</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.17.13.4">0.946</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.17.13.5">0.077</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.17.13.6">53</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T18.3.3.17.13.7">381</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.17.13.8">28.19</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.17.13.9">0.928</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.17.13.10">0.145</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.17.13.11">48</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T18.3.3.17.13.12">380</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.17.13.13">28.46</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.17.13.14">0.930</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.17.13.15">0.072</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.17.13.16">59</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.17.13.17">379</td> </tr> <tr class="ltx_tr" id="S12.T18.3.3.18.14"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T18.3.3.18.14.1">Caterpillar</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.18.14.2">26.31</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.18.14.3">0.913</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.18.14.4">0.151</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.18.14.5">31</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T18.3.3.18.14.6">490</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.18.14.7">26.60</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.18.14.8">0.968</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.18.14.9">0.049</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.18.14.10">42</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T18.3.3.18.14.11">488</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.18.14.12">26.66</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.18.14.13">0.969</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.18.14.14">0.145</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.18.14.15">46</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.18.14.16">480</td> </tr> <tr class="ltx_tr" id="S12.T18.3.3.19.15"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T18.3.3.19.15.1">Family</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.19.15.2">34.60</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.19.15.3">0.965</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.19.15.4">0.052</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.19.15.5">26</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T18.3.3.19.15.6">340</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.19.15.7">34.66</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.19.15.8">0.873</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.19.15.9">0.225</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.19.15.10">26</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T18.3.3.19.15.11">369</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.19.15.12">34.87</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.19.15.13">0.875</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.19.15.14">0.049</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.19.15.15">29</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.19.15.16">379</td> </tr> <tr class="ltx_tr" id="S12.T18.3.3.20.16"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T18.3.3.20.16.1">Barn</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.20.16.2">28.31</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.20.16.3">0.862</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.20.16.4">0.236</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.20.16.5">23</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T18.3.3.20.16.6">589</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.20.16.7">28.52</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.20.16.8">0.920</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.20.16.9">0.128</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.20.16.10">33</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T18.3.3.20.16.11">604</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.20.16.12">28.65</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.20.16.13">0.920</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.20.16.14">0.227</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.20.16.15">38</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.20.16.16">572</td> </tr> <tr class="ltx_tr" id="S12.T18.3.3.21.17"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T18.3.3.21.17.1">Truck</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.21.17.2">27.71</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.21.17.3">0.905</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.21.17.4">0.136</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.21.17.5">41</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T18.3.3.21.17.6">690</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.21.17.7">27.94</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.21.17.8">0.949</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.21.17.9">0.076</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.21.17.10">46</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T18.3.3.21.17.11">768</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.21.17.12">27.96</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.21.17.13">0.951</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.21.17.14">0.129</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.21.17.15">65</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.21.17.16">846</td> </tr> <tr class="ltx_tr" id="S12.T18.3.3.22.18"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T18.3.3.22.18.1">avg</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.22.18.2">29.04</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.22.18.3">0.918</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.22.18.4">0.129</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.22.18.5">35</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T18.3.3.22.18.6">498</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.22.18.7">29.18</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.22.18.8">0.928</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.22.18.9">0.125</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.22.18.10">39</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T18.3.3.22.18.11">522</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.22.18.12">29.32</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.22.18.13">0.929</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.22.18.14">0.124</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.22.18.15">47</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.22.18.16">531</td> </tr> <tr class="ltx_tr" id="S12.T18.3.3.23.19"> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r ltx_border_t" id="S12.T18.3.3.23.19.1" rowspan="6">Ens</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T18.3.3.23.19.2">Ignatius</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.23.19.3">28.17</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.23.19.4">0.944</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.23.19.5">0.077</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.23.19.6">49</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T18.3.3.23.19.7">362</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.23.19.8">28.28</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.23.19.9">0.951</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.23.19.10">0.076</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.23.19.11">73</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T18.3.3.23.19.12">468</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.23.19.13">28.33</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.23.19.14">0.950</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.23.19.15">0.073</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.23.19.16">90</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T18.3.3.23.19.17">615</td> </tr> <tr class="ltx_tr" id="S12.T18.3.3.24.20"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T18.3.3.24.20.1">Caterpillar</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.24.20.2">26.39</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.24.20.3">0.917</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.24.20.4">0.147</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.24.20.5">58</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T18.3.3.24.20.6">512</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.24.20.7">26.70</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.24.20.8">0.931</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.24.20.9">0.144</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.24.20.10">67</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T18.3.3.24.20.11">676</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.24.20.12">26.87</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.24.20.13">0.928</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.24.20.14">0.139</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.24.20.15">98</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.24.20.16">876</td> </tr> <tr class="ltx_tr" id="S12.T18.3.3.25.21"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T18.3.3.25.21.1">Family</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.25.21.2">34.54</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.25.21.3">0.966</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.25.21.4">0.053</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.25.21.5">37</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T18.3.3.25.21.6">448</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.25.21.7">34.65</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.25.21.8">0.970</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.25.21.9">0.049</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.25.21.10">52</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T18.3.3.25.21.11">604</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.25.21.12">34.89</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.25.21.13">0.970</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.25.21.14">0.048</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.25.21.15">67</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.25.21.16">776</td> </tr> <tr class="ltx_tr" id="S12.T18.3.3.26.22"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T18.3.3.26.22.1">Barn</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.26.22.2">28.25</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.26.22.3">0.865</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.26.22.4">0.232</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.26.22.5">27</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T18.3.3.26.22.6">703</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.26.22.7">28.48</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.26.22.8">0.873</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.26.22.9">0.224</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.26.22.10">43</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T18.3.3.26.22.11">900</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.26.22.12">28.78</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.26.22.13">0.878</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.26.22.14">0.219</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.26.22.15">44</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.26.22.16">1110</td> </tr> <tr class="ltx_tr" id="S12.T18.3.3.27.23"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T18.3.3.27.23.1">Truck</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.27.23.2">27.83</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.27.23.3">0.916</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.27.23.4">0.134</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.27.23.5">29</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T18.3.3.27.23.6">923</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.27.23.7">27.93</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.27.23.8">0.921</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.27.23.9">0.128</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.27.23.10">40</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T18.3.3.27.23.11">1275</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.27.23.12">28.05</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.27.23.13">0.922</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.27.23.14">0.124</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.27.23.15">53</td> <td class="ltx_td ltx_align_center" id="S12.T18.3.3.27.23.16">1638</td> </tr> <tr class="ltx_tr" id="S12.T18.3.3.28.24"> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r ltx_border_t" id="S12.T18.3.3.28.24.1">avg</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T18.3.3.28.24.2">29.25</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T18.3.3.28.24.3">0.916</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T18.3.3.28.24.4">0.141</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T18.3.3.28.24.5">40</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r ltx_border_t" id="S12.T18.3.3.28.24.6">590</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T18.3.3.28.24.7">29.44</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T18.3.3.28.24.8">0.924</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T18.3.3.28.24.9">0.137</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T18.3.3.28.24.10">51</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r ltx_border_t" id="S12.T18.3.3.28.24.11">785</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T18.3.3.28.24.12">29.65</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T18.3.3.28.24.13">0.924</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T18.3.3.28.24.14">0.133</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T18.3.3.28.24.15">66</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T18.3.3.28.24.16">1003</td> </tr> </tbody> </table> </div> </figure> <figure class="ltx_table" id="S12.T19"> <figcaption class="ltx_caption">Table 19: Per-scene results on LLFF with Instant-NGP</figcaption> <div class="ltx_inline-block ltx_transformed_outer" id="S12.T19.3" style="width:433.6pt;height:414.8pt;vertical-align:-0.0pt;"> <table class="ltx_tabular ltx_guessed_headers ltx_align_middle" id="S12.T19.3.3"> <thead class="ltx_thead"> <tr class="ltx_tr" id="S12.T19.3.3.4.1"> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T19.3.3.4.1.1" rowspan="2">Method</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T19.3.3.4.1.2" rowspan="2">Scene</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_r ltx_border_t" colspan="5" id="S12.T19.3.3.4.1.3">M=3</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_r ltx_border_t" colspan="5" id="S12.T19.3.3.4.1.4">M=4</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" colspan="5" id="S12.T19.3.3.4.1.5">M=5</th> </tr> <tr class="ltx_tr" id="S12.T19.3.3.3"> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T19.3.3.3.4">PSNR</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T19.3.3.3.5">SSIM</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T19.3.3.3.6">LPIPS</th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T19.1.1.1.1"><math alttext="\|w\||_{0}" class="ltx_Math" display="inline" id="S12.T19.1.1.1.1.m1.3"><semantics id="S12.T19.1.1.1.1.m1.3a"><msub id="S12.T19.1.1.1.1.m1.3.3.1" xref="S12.T19.1.1.1.1.m1.3.3.2.cmml"><mrow id="S12.T19.1.1.1.1.m1.3.3.1.1" xref="S12.T19.1.1.1.1.m1.3.3.2.cmml"><mrow id="S12.T19.1.1.1.1.m1.3.3.1.1.1.2" xref="S12.T19.1.1.1.1.m1.3.3.1.1.1.1.cmml"><mo id="S12.T19.1.1.1.1.m1.3.3.1.1.1.2.1" stretchy="false" xref="S12.T19.1.1.1.1.m1.3.3.1.1.1.1.1.cmml">‖</mo><mi id="S12.T19.1.1.1.1.m1.1.1" xref="S12.T19.1.1.1.1.m1.1.1.cmml">w</mi><mo id="S12.T19.1.1.1.1.m1.3.3.1.1.1.2.2" stretchy="false" xref="S12.T19.1.1.1.1.m1.3.3.1.1.1.1.1.cmml">‖</mo></mrow><mo id="S12.T19.1.1.1.1.m1.3.3.1.1.2" stretchy="false" xref="S12.T19.1.1.1.1.m1.3.3.2.1.cmml">|</mo></mrow><mn id="S12.T19.1.1.1.1.m1.2.2.1" xref="S12.T19.1.1.1.1.m1.2.2.1.cmml">0</mn></msub><annotation-xml encoding="MathML-Content" id="S12.T19.1.1.1.1.m1.3b"><apply id="S12.T19.1.1.1.1.m1.3.3.2.cmml" xref="S12.T19.1.1.1.1.m1.3.3.1"><csymbol cd="latexml" id="S12.T19.1.1.1.1.m1.3.3.2.1.cmml" xref="S12.T19.1.1.1.1.m1.3.3.1.1.2">evaluated-at</csymbol><apply id="S12.T19.1.1.1.1.m1.3.3.1.1.1.1.cmml" xref="S12.T19.1.1.1.1.m1.3.3.1.1.1.2"><csymbol cd="latexml" id="S12.T19.1.1.1.1.m1.3.3.1.1.1.1.1.cmml" xref="S12.T19.1.1.1.1.m1.3.3.1.1.1.2.1">norm</csymbol><ci id="S12.T19.1.1.1.1.m1.1.1.cmml" xref="S12.T19.1.1.1.1.m1.1.1">𝑤</ci></apply><cn id="S12.T19.1.1.1.1.m1.2.2.1.cmml" type="integer" xref="S12.T19.1.1.1.1.m1.2.2.1">0</cn></apply></annotation-xml><annotation encoding="application/x-tex" 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xref="S12.T19.2.2.2.2.m1.3.3.2.cmml"><mrow id="S12.T19.2.2.2.2.m1.3.3.1.1.1.2" xref="S12.T19.2.2.2.2.m1.3.3.1.1.1.1.cmml"><mo id="S12.T19.2.2.2.2.m1.3.3.1.1.1.2.1" stretchy="false" xref="S12.T19.2.2.2.2.m1.3.3.1.1.1.1.1.cmml">‖</mo><mi id="S12.T19.2.2.2.2.m1.1.1" xref="S12.T19.2.2.2.2.m1.1.1.cmml">w</mi><mo id="S12.T19.2.2.2.2.m1.3.3.1.1.1.2.2" stretchy="false" xref="S12.T19.2.2.2.2.m1.3.3.1.1.1.1.1.cmml">‖</mo></mrow><mo id="S12.T19.2.2.2.2.m1.3.3.1.1.2" stretchy="false" xref="S12.T19.2.2.2.2.m1.3.3.2.1.cmml">|</mo></mrow><mn id="S12.T19.2.2.2.2.m1.2.2.1" xref="S12.T19.2.2.2.2.m1.2.2.1.cmml">0</mn></msub><annotation-xml encoding="MathML-Content" id="S12.T19.2.2.2.2.m1.3b"><apply id="S12.T19.2.2.2.2.m1.3.3.2.cmml" xref="S12.T19.2.2.2.2.m1.3.3.1"><csymbol cd="latexml" id="S12.T19.2.2.2.2.m1.3.3.2.1.cmml" xref="S12.T19.2.2.2.2.m1.3.3.1.1.2">evaluated-at</csymbol><apply id="S12.T19.2.2.2.2.m1.3.3.1.1.1.1.cmml" xref="S12.T19.2.2.2.2.m1.3.3.1.1.1.2"><csymbol cd="latexml" 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id="S12.T19.3.3.3.3.m1.3.3.2.cmml" xref="S12.T19.3.3.3.3.m1.3.3.1"><csymbol cd="latexml" id="S12.T19.3.3.3.3.m1.3.3.2.1.cmml" xref="S12.T19.3.3.3.3.m1.3.3.1.1.2">evaluated-at</csymbol><apply id="S12.T19.3.3.3.3.m1.3.3.1.1.1.1.cmml" xref="S12.T19.3.3.3.3.m1.3.3.1.1.1.2"><csymbol cd="latexml" id="S12.T19.3.3.3.3.m1.3.3.1.1.1.1.1.cmml" xref="S12.T19.3.3.3.3.m1.3.3.1.1.1.2.1">norm</csymbol><ci id="S12.T19.3.3.3.3.m1.1.1.cmml" xref="S12.T19.3.3.3.3.m1.1.1">𝑤</ci></apply><cn id="S12.T19.3.3.3.3.m1.2.2.1.cmml" type="integer" xref="S12.T19.3.3.3.3.m1.2.2.1">0</cn></apply></annotation-xml><annotation encoding="application/x-tex" id="S12.T19.3.3.3.3.m1.3c">\|w\||_{0}</annotation><annotation encoding="application/x-llamapun" id="S12.T19.3.3.3.3.m1.3d">∥ italic_w ∥ | start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT</annotation></semantics></math></th> <th class="ltx_td ltx_align_center ltx_th ltx_th_column ltx_border_t" id="S12.T19.3.3.3.15">GFLOPs</th> </tr> </thead> <tbody class="ltx_tbody"> <tr class="ltx_tr" id="S12.T19.3.3.5.1"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T19.3.3.5.1.1" rowspan="9">Baseline</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T19.3.3.5.1.2">Fern</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.5.1.3">23.48</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.5.1.4">0.741</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.5.1.5">0.149</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.5.1.6">95</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T19.3.3.5.1.7">631</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.5.1.8">23.20</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.5.1.9">0.746</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.5.1.10">0.148</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.5.1.11">146</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T19.3.3.5.1.12">676</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.5.1.13">23.29</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.5.1.14">0.748</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.5.1.15">0.143</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.5.1.16">208</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.5.1.17">697</td> </tr> <tr class="ltx_tr" id="S12.T19.3.3.6.2"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.6.2.1">Flower</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.6.2.2">26.94</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.6.2.3">0.806</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.6.2.4">0.121</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.6.2.5">59</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.6.2.6">611</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.6.2.7">26.84</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.6.2.8">0.807</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.6.2.9">0.120</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.6.2.10">86</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.6.2.11">581</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.6.2.12">26.90</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.6.2.13">0.809</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.6.2.14">0.116</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.6.2.15">112</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.6.2.16">586</td> </tr> <tr class="ltx_tr" id="S12.T19.3.3.7.3"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.7.3.1">Fortress</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.7.3.2">27.13</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.7.3.3">0.821</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.7.3.4">0.089</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.7.3.5">44</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.7.3.6">560</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.7.3.7">28.24</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.7.3.8">0.823</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.7.3.9">0.079</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.7.3.10">56</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.7.3.11">447</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.7.3.12">28.48</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.7.3.13">0.824</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.7.3.14">0.075</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.7.3.15">77</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.7.3.16">761</td> </tr> <tr class="ltx_tr" id="S12.T19.3.3.8.4"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.8.4.1">Horns</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.8.4.2">26.00</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.8.4.3">0.805</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.8.4.4">0.131</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.8.4.5">61</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.8.4.6">472</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.8.4.7">26.02</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.8.4.8">0.815</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.8.4.9">0.123</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.8.4.10">85</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.8.4.11">441</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.8.4.12">26.00</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.8.4.13">0.818</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.8.4.14">0.119</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.8.4.15">114</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.8.4.16">414</td> </tr> <tr class="ltx_tr" id="S12.T19.3.3.9.5"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.9.5.1">Leaves</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.9.5.2">17.78</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.9.5.3">0.555</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.9.5.4">0.227</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.9.5.5">120</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.9.5.6">603</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.9.5.7">17.60</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.9.5.8">0.557</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.9.5.9">0.225</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.9.5.10">190</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.9.5.11">614</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.9.5.12">17.65</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.9.5.13">0.558</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.9.5.14">0.223</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.9.5.15">285</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.9.5.16">604</td> </tr> <tr class="ltx_tr" id="S12.T19.3.3.10.6"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.10.6.1">Orchids</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.10.6.2">18.79</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.10.6.3">0.595</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.10.6.4">0.186</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.10.6.5">115</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.10.6.6">519</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.10.6.7">18.76</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.10.6.8">0.558</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.10.6.9">0.183</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.10.6.10">182</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.10.6.11">558</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.10.6.12">18.64</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.10.6.13">0.558</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.10.6.14">0.190</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.10.6.15">277</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.10.6.16">564</td> </tr> <tr class="ltx_tr" id="S12.T19.3.3.11.7"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.11.7.1">Room</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.11.7.2">31.68</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.11.7.3">0.917</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.11.7.4">0.084</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.11.7.5">50</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.11.7.6">461</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.11.7.7">31.95</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.11.7.8">0.919</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.11.7.9">0.079</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.11.7.10">65</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.11.7.11">479</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.11.7.12">32.02</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.11.7.13">0.920</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.11.7.14">0.077</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.11.7.15">97</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.11.7.16">476</td> </tr> <tr class="ltx_tr" id="S12.T19.3.3.12.8"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.12.8.1">Trex</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.12.8.2">26.76</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.12.8.3">0.876</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.12.8.4">0.083</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.12.8.5">35</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.12.8.6">452</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.12.8.7">26.83</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.12.8.8">0.880</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.12.8.9">0.081</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.12.8.10">41</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.12.8.11">438</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.12.8.12">26.76</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.12.8.13">0.882</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.12.8.14">0.080</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.12.8.15">49</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.12.8.16">481</td> </tr> <tr class="ltx_tr" id="S12.T19.3.3.13.9"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T19.3.3.13.9.1">avg</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.13.9.2">24.82</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.13.9.3">0.764</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.13.9.4">0.134</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.13.9.5">72</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T19.3.3.13.9.6">539</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.13.9.7">24.93</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.13.9.8">0.763</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.13.9.9">0.130</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.13.9.10">106</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T19.3.3.13.9.11">529</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.13.9.12">24.97</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.13.9.13">0.764</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.13.9.14">0.128</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.13.9.15">152</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.13.9.16">573</td> </tr> <tr class="ltx_tr" id="S12.T19.3.3.14.10"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T19.3.3.14.10.1" rowspan="9">Top-1</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T19.3.3.14.10.2">Fern</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.14.10.3">23.13</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.14.10.4">0.729</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.14.10.5">0.296</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.14.10.6">55</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T19.3.3.14.10.7">906</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.14.10.8">23.55</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.14.10.9">0.718</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.14.10.10">0.304</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.14.10.11">61</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T19.3.3.14.10.12">893</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.14.10.13">23.55</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.14.10.14">0.725</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.14.10.15">0.301</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.14.10.16">87</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.14.10.17">852</td> </tr> <tr class="ltx_tr" id="S12.T19.3.3.15.11"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.15.11.1">Flower</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.15.11.2">26.49</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.15.11.3">0.796</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.15.11.4">0.229</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.15.11.5">23</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.15.11.6">786</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.15.11.7">26.67</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.15.11.8">0.787</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.15.11.9">0.227</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.15.11.10">33</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.15.11.11">876</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.15.11.12">26.59</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.15.11.13">0.788</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.15.11.14">0.223</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.15.11.15">44</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.15.11.16">888</td> </tr> <tr class="ltx_tr" id="S12.T19.3.3.16.12"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.16.12.1">Fortress</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.16.12.2">26.63</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.16.12.3">0.800</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.16.12.4">0.210</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.16.12.5">23</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.16.12.6">605</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.16.12.7">26.73</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.16.12.8">0.743</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.16.12.9">0.282</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.16.12.10">40</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.16.12.11">1131</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.16.12.12">27.70</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.16.12.13">0.798</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.16.12.14">0.216</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.16.12.15">37</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.16.12.16">1141</td> </tr> <tr class="ltx_tr" id="S12.T19.3.3.17.13"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.17.13.1">Horns</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.17.13.2">25.09</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.17.13.3">0.765</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.17.13.4">0.274</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.17.13.5">37</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.17.13.6">659</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.17.13.7">24.90</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.17.13.8">0.756</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.17.13.9">0.280</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.17.13.10">65</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.17.13.11">745</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.17.13.12">24.43</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.17.13.13">0.730</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.17.13.14">0.311</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.17.13.15">90</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.17.13.16">762</td> </tr> <tr class="ltx_tr" id="S12.T19.3.3.18.14"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.18.14.1">Leaves</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.18.14.2">17.74</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.18.14.3">0.532</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.18.14.4">0.386</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.18.14.5">66</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.18.14.6">833</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.18.14.7">17.80</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.18.14.8">0.532</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.18.14.9">0.394</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.18.14.10">104</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.18.14.11">993</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.18.14.12">17.78</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.18.14.13">0.534</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.18.14.14">0.398</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.18.14.15">109</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.18.14.16">937</td> </tr> <tr class="ltx_tr" id="S12.T19.3.3.19.15"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.19.15.1">Orchids</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.19.15.2">19.09</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.19.15.3">0.593</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.19.15.4">0.312</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.19.15.5">52</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.19.15.6">654</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.19.15.7">19.23</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.19.15.8">0.592</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.19.15.9">0.319</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.19.15.10">82</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.19.15.11">739</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.19.15.12">19.16</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.19.15.13">0.590</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.19.15.14">0.324</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.19.15.15">89</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.19.15.16">729</td> </tr> <tr class="ltx_tr" id="S12.T19.3.3.20.16"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.20.16.1">Room</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.20.16.2">30.63</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.20.16.3">0.912</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.20.16.4">0.261</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.20.16.5">17</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.20.16.6">987</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.20.16.7">31.16</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.20.16.8">0.909</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.20.16.9">0.252</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.20.16.10">28</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.20.16.11">988</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.20.16.12">31.19</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.20.16.13">0.908</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.20.16.14">0.247</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.20.16.15">31</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.20.16.16">1083</td> </tr> <tr class="ltx_tr" id="S12.T19.3.3.21.17"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.21.17.1">Trex</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.21.17.2">25.98</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.21.17.3">0.867</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.21.17.4">0.252</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.21.17.5">28</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.21.17.6">657</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.21.17.7">25.62</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.21.17.8">0.852</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.21.17.9">0.263</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.21.17.10">42</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.21.17.11">691</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.21.17.12">25.75</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.21.17.13">0.846</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.21.17.14">0.262</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.21.17.15">60</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.21.17.16">702</td> </tr> <tr class="ltx_tr" id="S12.T19.3.3.22.18"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T19.3.3.22.18.1">avg</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.22.18.2">24.78</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.22.18.3">0.762</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.22.18.4">0.244</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.22.18.5">37</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T19.3.3.22.18.6">761</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.22.18.7">24.88</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.22.18.8">0.765</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.22.18.9">24.520</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.22.18.10">57</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T19.3.3.22.18.11">882</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.22.18.12">24.52</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.22.18.13">0.763</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.22.18.14">0.239</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.22.18.15">68</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.22.18.16">887</td> </tr> <tr class="ltx_tr" id="S12.T19.3.3.23.19"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T19.3.3.23.19.1" rowspan="9">Top-2</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T19.3.3.23.19.2">Fern</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.23.19.3">23.13</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.23.19.4">0.729</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.23.19.5">0.296</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.23.19.6">82</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T19.3.3.23.19.7">1422</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.23.19.8">23.55</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.23.19.9">0.735</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.23.19.10">0.280</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.23.19.11">90</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T19.3.3.23.19.12">1619</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.23.19.13">23.46</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.23.19.14">0.741</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.23.19.15">0.273</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.23.19.16">106</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.23.19.17">1758</td> </tr> <tr class="ltx_tr" id="S12.T19.3.3.24.20"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.24.20.1">Flower</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.24.20.2">26.49</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.24.20.3">0.796</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.24.20.4">0.229</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.24.20.5">32</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.24.20.6">1373</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.24.20.7">26.70</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.24.20.8">0.800</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.24.20.9">0.218</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.24.20.10">36</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.24.20.11">1360</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.24.20.12">26.69</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.24.20.13">0.802</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.24.20.14">0.212</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.24.20.15">49</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.24.20.16">1469</td> </tr> <tr class="ltx_tr" id="S12.T19.3.3.25.21"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.25.21.1">Fortress</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.25.21.2">26.63</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.25.21.3">0.800</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.25.21.4">0.210</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.25.21.5">26</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.25.21.6">1086</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.25.21.7">27.32</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.25.21.8">0.812</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.25.21.9">0.190</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.25.21.10">31</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.25.21.11">1103</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.25.21.12">27.82</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.25.21.13">0.820</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.25.21.14">0.186</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.25.21.15">37</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.25.21.16">1250</td> </tr> <tr class="ltx_tr" id="S12.T19.3.3.26.22"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.26.22.1">Horns</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.26.22.2">25.09</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.26.22.3">0.765</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.26.22.4">0.274</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.26.22.5">52</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.26.22.6">1236</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.26.22.7">25.36</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.26.22.8">0.780</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.26.22.9">0.257</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.26.22.10">60</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.26.22.11">1176</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.26.22.12">25.67</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.26.22.13">0.804</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.26.22.14">0.240</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.26.22.15">77</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.26.22.16">1241</td> </tr> <tr class="ltx_tr" id="S12.T19.3.3.27.23"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.27.23.1">Leaves</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.27.23.2">17.74</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.27.23.3">0.532</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.27.23.4">0.386</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.27.23.5">104</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.27.23.6">1484</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.27.23.7">17.77</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.27.23.8">0.539</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.27.23.9">0.370</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.27.23.10">112</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.27.23.11">1609</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.27.23.12">17.87</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.27.23.13">0.562</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.27.23.14">0.348</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.27.23.15">125</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.27.23.16">1702</td> </tr> <tr class="ltx_tr" id="S12.T19.3.3.28.24"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.28.24.1">Orchids</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.28.24.2">19.09</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.28.24.3">0.593</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.28.24.4">0.312</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.28.24.5">89</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.28.24.6">1179</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.28.24.7">18.95</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.28.24.8">0.598</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.28.24.9">0.299</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.28.24.10">93</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.28.24.11">1211</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.28.24.12">19.26</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.28.24.13">0.618</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.28.24.14">0.285</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.28.24.15">117</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.28.24.16">1309</td> </tr> <tr class="ltx_tr" id="S12.T19.3.3.29.25"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.29.25.1">Room</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.29.25.2">30.63</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.29.25.3">0.912</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.29.25.4">0.261</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.29.25.5">17</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.29.25.6">1034</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.29.25.7">31.16</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.29.25.8">0.909</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.29.25.9">0.252</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.29.25.10">28</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.29.25.11">988</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.29.25.12">31.19</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.29.25.13">0.908</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.29.25.14">0.247</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.29.25.15">31</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.29.25.16">1198</td> </tr> <tr class="ltx_tr" id="S12.T19.3.3.30.26"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.30.26.1">Trex</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.30.26.2">25.98</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.30.26.3">0.867</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.30.26.4">0.252</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.30.26.5">46</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.30.26.6">1001</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.30.26.7">26.07</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.30.26.8">0.869</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.30.26.9">0.241</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.30.26.10">50</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.30.26.11">1114</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.30.26.12">26.38</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.30.26.13">0.880</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.30.26.14">0.236</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.30.26.15">56</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.30.26.16">1197</td> </tr> <tr class="ltx_tr" id="S12.T19.3.3.31.27"> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T19.3.3.31.27.1">avg</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.31.27.2">25.06</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.31.27.3">0.772</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.31.27.4">0.241</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.31.27.5">57</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T19.3.3.31.27.6">1227</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.31.27.7">25.11</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.31.27.8">0.777</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.31.27.9">0.238</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.31.27.10">62</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T19.3.3.31.27.11">1272</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.31.27.12">25.17</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.31.27.13">0.777</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.31.27.14">0.237</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.31.27.15">75</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.31.27.16">1391</td> </tr> <tr class="ltx_tr" id="S12.T19.3.3.32.28"> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r ltx_border_t" id="S12.T19.3.3.32.28.1" rowspan="9">Ens</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T19.3.3.32.28.2">Fern</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.32.28.3">23.40</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.32.28.4">0.748</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.32.28.5">0.256</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.32.28.6">87</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T19.3.3.32.28.7">1839</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.32.28.8">23.41</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.32.28.9">0.752</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.32.28.10">0.252</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.32.28.11">119</td> <td class="ltx_td ltx_align_center ltx_border_r ltx_border_t" id="S12.T19.3.3.32.28.12">2546</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.32.28.13">23.43</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.32.28.14">0.757</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.32.28.15">0.247</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.32.28.16">146</td> <td class="ltx_td ltx_align_center ltx_border_t" id="S12.T19.3.3.32.28.17">3177</td> </tr> <tr class="ltx_tr" id="S12.T19.3.3.33.29"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.33.29.1">Flower</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.33.29.2">26.92</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.33.29.3">0.816</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.33.29.4">0.198</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.33.29.5">45</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.33.29.6">1830</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.33.29.7">27.07</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.33.29.8">0.822</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.33.29.9">0.194</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.33.29.10">76</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.33.29.11">2447</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.33.29.12">27.16</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.33.29.13">0.825</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.33.29.14">0.190</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.33.29.15">116</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.33.29.16">3123</td> </tr> <tr class="ltx_tr" id="S12.T19.3.3.34.30"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.34.30.1">Fortress</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.34.30.2">28.36</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.34.30.3">0.830</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.34.30.4">0.170</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.34.30.5">49</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.34.30.6">1765</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.34.30.7">28.42</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.34.30.8">0.831</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.34.30.9">0.169</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.34.30.10">83</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.34.30.11">2426</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.34.30.12">28.55</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.34.30.13">0.833</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.34.30.14">0.167</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.34.30.15">129</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.34.30.16">2909</td> </tr> <tr class="ltx_tr" id="S12.T19.3.3.35.31"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.35.31.1">Horns</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.35.31.2">26.23</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.35.31.3">0.819</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.35.31.4">0.212</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.35.31.5">74</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.35.31.6">1413</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.35.31.7">26.31</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.35.31.8">0.827</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.35.31.9">0.206</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.35.31.10">88</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.35.31.11">1913</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.35.31.12">26.41</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.35.31.13">0.832</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.35.31.14">0.201</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.35.31.15">133</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.35.31.16">2376</td> </tr> <tr class="ltx_tr" id="S12.T19.3.3.36.32"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.36.32.1">Leaves</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.36.32.2">17.61</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.36.32.3">0.550</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.36.32.4">0.345</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.36.32.5">109</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.36.32.6">1862</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.36.32.7">17.59</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.36.32.8">0.552</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.36.32.9">0.339</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.36.32.10">166</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.36.32.11">2500</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.36.32.12">17.57</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.36.32.13">0.552</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.36.32.14">0.340</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.36.32.15">253</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.36.32.16">3149</td> </tr> <tr class="ltx_tr" id="S12.T19.3.3.37.33"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.37.33.1">Orchids</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.37.33.2">18.71</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.37.33.3">0.596</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.37.33.4">0.288</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.37.33.5">89</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.37.33.6">1495</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.37.33.7">18.72</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.37.33.8">0.597</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.37.33.9">0.285</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.37.33.10">127</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.37.33.11">2027</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.37.33.12">18.72</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.37.33.13">0.599</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.37.33.14">0.283</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.37.33.15">197</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.37.33.16">2583</td> </tr> <tr class="ltx_tr" id="S12.T19.3.3.38.34"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.38.34.1">Room</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.38.34.2">32.40</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.38.34.3">0.926</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.38.34.4">0.229</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.38.34.5">49</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.38.34.6">1264</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.38.34.7">32.61</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.38.34.8">0.937</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.38.34.9">0.226</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.38.34.10">88</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.38.34.11">1646</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.38.34.12">32.77</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.38.34.13">0.935</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.38.34.14">0.224</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.38.34.15">108</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.38.34.16">2004</td> </tr> <tr class="ltx_tr" id="S12.T19.3.3.39.35"> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.39.35.1">Trex</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.39.35.2">26.81</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.39.35.3">0.890</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.39.35.4">0.222</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.39.35.5">35</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.39.35.6">1390</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.39.35.7">26.91</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.39.35.8">0.888</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.39.35.9">0.221</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.39.35.10">70</td> <td class="ltx_td ltx_align_center ltx_border_r" id="S12.T19.3.3.39.35.11">1873</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.39.35.12">26.90</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.39.35.13">0.889</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.39.35.14">0.216</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.39.35.15">105</td> <td class="ltx_td ltx_align_center" id="S12.T19.3.3.39.35.16">2377</td> </tr> <tr class="ltx_tr" id="S12.T19.3.3.40.36"> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r ltx_border_t" id="S12.T19.3.3.40.36.1">avg</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T19.3.3.40.36.2">25.06</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T19.3.3.40.36.3">0.772</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T19.3.3.40.36.4">0.240</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T19.3.3.40.36.5">67</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r ltx_border_t" id="S12.T19.3.3.40.36.6">1607</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T19.3.3.40.36.7">25.13</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T19.3.3.40.36.8">0.776</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T19.3.3.40.36.9">0.237</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T19.3.3.40.36.10">102</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_r ltx_border_t" id="S12.T19.3.3.40.36.11">2172</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T19.3.3.40.36.12">25.19</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T19.3.3.40.36.13">0.778</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T19.3.3.40.36.14">0.234</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T19.3.3.40.36.15">148</td> <td class="ltx_td ltx_align_center ltx_border_b ltx_border_t" id="S12.T19.3.3.40.36.16">2712</td> </tr> </tbody> </table> </div> </figure> <div class="ltx_pagination ltx_role_newpage"></div> </section> <section class="ltx_bibliography" id="bib"> <h2 class="ltx_title ltx_title_bibliography">References</h2> <ul class="ltx_biblist"> <li class="ltx_bibitem" id="bib.bib1"> [1] Barron, J.T., Mildenhall, B., Tancik, M., Hedman, P., Martin-Brualla, R., Srinivasan, P.P.: Mip-nerf: A multiscale representation for anti-aliasing neural radiance fields. 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