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What Are Knowledge Graph Embeddings? | Ontotext
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ast-nav-menu ast-flex submenu-with-border stack-on-mobile ast-mega-menu-enabled"><li id="menu-item-57503" class="menu-item-products menu-item menu-item-type-custom menu-item-object-custom menu-item-has-children menu-item-57503 astra-megamenu-li custom-width-mega"><a aria-expanded="false" href="#" class="menu-link"><span class="ast-icon icon-arrow"><svg class="ast-arrow-svg" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" version="1.1" x="0px" y="0px" width="26px" height="16.043px" viewBox="57 35.171 26 16.043" enable-background="new 57 35.171 26 16.043" xml:space="preserve"> <path d="M57.5,38.193l12.5,12.5l12.5-12.5l-2.5-2.5l-10,10l-10-10L57.5,38.193z"/> </svg></span><span class="menu-text">Products</span><span role="application" class="dropdown-menu-toggle ast-header-navigation-arrow" tabindex="0" aria-expanded="false" aria-label="Menu Toggle" ><span class="ast-icon icon-arrow"><svg class="ast-arrow-svg" xmlns="http://www.w3.org/2000/svg" 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class='astra-nested-sub-menu sub-menu'"> <li id="menu-item-57577" class="menu-item menu-item-type-custom menu-item-object-custom menu-item-57577"><a target="_blank" href="https://graphdb.ontotext.com/documentation/10.7/release-notes.html?_gl=1*bcgu7d*_ga*MTkyNDU5Nzc2MS4xNzI0OTM5MTYx*_ga_HGSKWBWCRK*MTcyNTMzNTg5My40LjEuMTcyNTMzNTg5OC4wLjAuMA.." class="menu-link"><span class="ast-icon icon-arrow"><svg class="ast-arrow-svg" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" version="1.1" x="0px" y="0px" width="26px" height="16.043px" viewBox="57 35.171 26 16.043" enable-background="new 57 35.171 26 16.043" xml:space="preserve"> <path d="M57.5,38.193l12.5,12.5l12.5-12.5l-2.5-2.5l-10,10l-10-10L57.5,38.193z"/> </svg></span><span class="astra-mm-icon-label icon-item-57577"><img width="18" height="22" src="https://www.ontotext.com/wp-content/uploads/2024/09/icon-file-text.svg" alt="mm-ast-icon-57577"></span><span class="menu-text">Release notes</span></a></li> <li 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xml:space="preserve"> <path d="M57.5,38.193l12.5,12.5l12.5-12.5l-2.5-2.5l-10,10l-10-10L57.5,38.193z"/> </svg></span></span></span><button class="ast-menu-toggle" aria-expanded="false"><span class="screen-reader-text">Menu Toggle</span><span class="ast-icon icon-arrow"><svg class="ast-arrow-svg" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" version="1.1" x="0px" y="0px" width="26px" height="16.043px" viewBox="57 35.171 26 16.043" enable-background="new 57 35.171 26 16.043" xml:space="preserve"> <path d="M57.5,38.193l12.5,12.5l12.5-12.5l-2.5-2.5l-10,10l-10-10L57.5,38.193z"/> </svg></span></button> <ul class="sub-menu"> <li id="menu-item-38352" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-38352"><a href="https://www.ontotext.com/about-us/" class="menu-link"><span class="ast-icon icon-arrow"><svg class="ast-arrow-svg" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" version="1.1" x="0px" y="0px" 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d="M57.5,38.193l12.5,12.5l12.5-12.5l-2.5-2.5l-10,10l-10-10L57.5,38.193z"/> </svg></span><span class="astra-mm-icon-label icon-item-1941"><img width="22" height="22" src="https://www.ontotext.com/wp-content/uploads/2024/09/icon-rocket.svg" alt="mm-ast-icon-1941"></span><span class="menu-text">Customers</span></a></li> <li id="menu-item-2199" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-2199"><a href="https://www.ontotext.com/company/careers/" class="menu-link"><span class="ast-icon icon-arrow"><svg class="ast-arrow-svg" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" version="1.1" x="0px" y="0px" width="26px" height="16.043px" viewBox="57 35.171 26 16.043" enable-background="new 57 35.171 26 16.043" xml:space="preserve"> <path d="M57.5,38.193l12.5,12.5l12.5-12.5l-2.5-2.5l-10,10l-10-10L57.5,38.193z"/> </svg></span><span class="astra-mm-icon-label icon-item-2199"><img width="22" height="20" 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width="26px" height="16.043px" viewBox="57 35.171 26 16.043" enable-background="new 57 35.171 26 16.043" xml:space="preserve"> <path d="M57.5,38.193l12.5,12.5l12.5-12.5l-2.5-2.5l-10,10l-10-10L57.5,38.193z"/> </svg></span><span class="menu-text">Looking for a new career? 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aria-label="Menu Toggle" ><span class="ast-icon icon-arrow"><svg class="ast-arrow-svg" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" version="1.1" x="0px" y="0px" width="26px" height="16.043px" viewBox="57 35.171 26 16.043" enable-background="new 57 35.171 26 16.043" xml:space="preserve"> <path d="M57.5,38.193l12.5,12.5l12.5-12.5l-2.5-2.5l-10,10l-10-10L57.5,38.193z"/> </svg></span></span></a><button class="ast-menu-toggle" aria-expanded="false"><span class="screen-reader-text">Menu Toggle</span><span class="ast-icon icon-arrow"><svg class="ast-arrow-svg" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" version="1.1" x="0px" y="0px" width="26px" height="16.043px" viewBox="57 35.171 26 16.043" enable-background="new 57 35.171 26 16.043" xml:space="preserve"> <path d="M57.5,38.193l12.5,12.5l12.5-12.5l-2.5-2.5l-10,10l-10-10L57.5,38.193z"/> </svg></span></button> <ul class="sub-menu"> <li class="product_mega_menu menu-item 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class="ast-arrow-svg" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" version="1.1" x="0px" y="0px" width="26px" height="16.043px" viewBox="57 35.171 26 16.043" enable-background="new 57 35.171 26 16.043" xml:space="preserve"> <path d="M57.5,38.193l12.5,12.5l12.5-12.5l-2.5-2.5l-10,10l-10-10L57.5,38.193z"/> </svg></span></span></a><button class="ast-menu-toggle" aria-expanded="false"><span class="screen-reader-text">Menu Toggle</span><span class="ast-icon icon-arrow"><svg class="ast-arrow-svg" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" version="1.1" x="0px" y="0px" width="26px" height="16.043px" viewBox="57 35.171 26 16.043" enable-background="new 57 35.171 26 16.043" xml:space="preserve"> <path d="M57.5,38.193l12.5,12.5l12.5-12.5l-2.5-2.5l-10,10l-10-10L57.5,38.193z"/> </svg></span></button> <ul class="sub-menu"> <li class="is-active has-active-state-default menu-item menu-item-type-post_type menu-item-object-page 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src="https://www.ontotext.com/wp-content/uploads/2024/11/03GDB-10.8.jpg" class="attachment-post-thumbnail size-post-thumbnail wp-post-image" alt="Build a shopping chatbot in four minutes with GraphDB Talk to Your Graph 2.0" style="object-fit:cover;" decoding="async" srcset="https://www.ontotext.com/wp-content/uploads/2024/11/03GDB-10.8.jpg 2000w, https://www.ontotext.com/wp-content/uploads/2024/11/03GDB-10.8-600x300.jpg 600w, https://www.ontotext.com/wp-content/uploads/2024/11/03GDB-10.8-1024x512.jpg 1024w, https://www.ontotext.com/wp-content/uploads/2024/11/03GDB-10.8-768x384.jpg 768w, https://www.ontotext.com/wp-content/uploads/2024/11/03GDB-10.8-1536x768.jpg 1536w" sizes="(max-width: 2000px) 100vw, 2000px" /></a></figure> <h2 class="wp-block-post-title"><a href="https://www.ontotext.com/knowledgehub/videos/build-a-shopping-chatbot-in-four-minutes-with-graphdb-talk-to-your-graph-2-0/" target="_self" >Build a shopping chatbot in four minutes with GraphDB Talk to Your Graph 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href="https://www.ontotext.com/knowledge-hub/fundamentals/" class="breadcrumb-link">Fundamentals</a></div> <header class="header-single"> <div class="post-details"> <h1 class="post-title-single"> What Are Knowledge Graph Embeddings? </h1> <div class="event-details date-hero"> <div class="post-excerpt p-18"> <p class="p-18">Knowledge graph embeddings are vector representations of entities and relationships in a knowledge graph, used to predict missing links and facilitate machine learning tasks. </p> </div> </div> <div class="post-sharing-buttons--header"> <div class="social-share"> <a class="social-btn" href="#" onclick="redirectToPDF(event)"> <svg width="40" height="40" viewBox="0 0 40 40" fill="none" xmlns="http://www.w3.org/2000/svg"> <g filter="url(#filter0_d_294_20587)"> <rect x="2" y="1" width="36" height="36" rx="18" fill="#163156" /> <rect x="2.5" y="1.5" width="35" height="35" rx="17.5" stroke="#163156" /> <path d="M27.5 21.5V24.8333C27.5 25.2754 27.3244 25.6993 27.0118 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https://www.ontotext.com/wp-content/uploads/2024/11/What-are-Knowledge-Graph-Embeddings-768x384.png 768w, https://www.ontotext.com/wp-content/uploads/2024/11/What-are-Knowledge-Graph-Embeddings-1536x768.png 1536w, https://www.ontotext.com/wp-content/uploads/2024/11/What-are-Knowledge-Graph-Embeddings.png 2000w" sizes="(max-width: 1024px) 100vw, 1024px" /> </div> </header> <div class="single-post-cols"> <div id="fundamentals-single" class="single-post-main"> <div id="fundamentals-single-content" class="single-post-content"> <p>Imagine you have a big network of information. It’s like a giant spider web where each point (or “node”) represents a person, organization, location, or thing. The lines (or “edges”) connecting these points show the relationships between them. For example, you might have a node representing “<em>Bulgaria</em>” and another node for “<em>Greece</em>“. There’s also a line connecting them because “<em>Bulgaria”</em> has a “<em>border with”</em> “<em>Greece”</em>. </p> <p>This whole interconnected web is called a <a href="https://www.ontotext.com/knowledgehub/fundamentals/what-is-a-knowledge-graph/">knowledge graph</a>. </p> <p>But here’s the intriguing part: does this knowledge graph capture all possible relationships? One can notice that there is missing information about whether Bulgaria is in Europe. So how can we identify the missing links? </p> <figure class="wp-block-image"><img decoding="async" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXcS6wIGNOJ_A6Mk5CsWjDfd2efxblRB2Wc9T_3x8z3-Y1v7pkPKXolJSkYw-q2pdSX4ruCeNC7DJ25Zv_IgtyBVi1ha1JG2mL_RQTC3NjQ9KU53UO6WRURajSn5I_fb0sQ2mgxh_0NTe_0b3qN6BGwB8nZa?key=RV4f-zmlRG59qYqE8pxsqw" alt=""/></figure> <p></p> <h2 class="wp-block-heading" id="h-embeddings">Embeddings</h2> <p>This is where knowledge graph embedding models, innovative tools designed to predict relationships, come to the rescue. These models have the potential to elucidate the unseen connections, enriching our understanding of the world woven through these interconnected nodes. </p> <p>Embeddings are a way to convert the complex web of information into a simpler form that computers can understand better. Specifically, embeddings are mathematical representations (usually vectors) of the nodes (entities) and relationships in the knowledge graph. Think of it as creating a list of numbers for each node and relationship that keeps track of the most important bits of information about them. Knowledge graph embeddings are designed to capture the semantic meaning and structure of the entities and relationships in the graph so that they can be easily manipulated and understood by <a href="https://www.ontotext.com/knowledgehub/fundamentals/what-is-machine-learning/">machine learning</a> algorithms.</p> <h2 class="wp-block-heading" id="h-main-characteristics-of-knowledge-graph-embedding-models">Main characteristics of knowledge graph embedding models</h2> <p>Main characteristics of knowledge graph embedding models</p> <p>Here are some of the key characteristics of these models:</p> <p><strong>Efficient Computation: </strong>Operations on embeddings in a Euclidean space, such as vector addition or finding the distance/similarity between vectors, are computationally efficient. This efficiency is beneficial for tasks like entity resolution, relationship prediction, and graph completion.</p> <p><strong>Dimensionality Reduction: </strong>knowledge graphs can be highly complex and large, consisting of numerous nodes (entities) and edges (relationships). Embeddings help reduce this complexity by mapping high-dimensional graph structures into a lower-dimensional vector space while preserving important information.</p> <p><strong>Semantic Similarity:</strong> By embedding entities and relationships into a continuous space, similar entities and relationships can be positioned closer to each other in the vector space. This makes it easier to perform tasks like clustering, classification, and link prediction.</p> <h2 class="wp-block-heading" id="h-knowledge-graph-embedding-methods">Knowledge graph embedding<strong> </strong>methods</h2> <p>Several models and techniques have been developed for creating knowledge graph embeddings. Some popular ones include:</p> <ul class="wp-block-list"> <li><strong>TransE (Translating Embeddings </strong>(Bordes et al. 2013)<strong>: </strong>Projects both entities and relationships into the same space such that the relationship is represented as a translation operation between the entities.</li> <li><strong>DistMult </strong>(Yang et al. 2014)<strong>: </strong>Uses a bilinear formulation for relationships, with separate embeddings for each entity and a diagonal matrix for each relationship.</li> <li><strong>ComplEx </strong>(Trouillon et al. 2016)<strong>: </strong>Extends DistMult by using complex-valued embeddings, allowing it to better capture asymmetric relationships.</li> <li><strong>Node2Vec and DeepWalk </strong>(Grover and Leskovec 2016)<strong>: </strong>Extend the concept of word embeddings (like Word2Vec) to graphs by performing random walks on the graph to create sequences of nodes, which are then embedded similarly to words in sentences.</li> <li><strong>Graph Convolutional Networks (R-GCNs) </strong>(Schlichtkrull et al. 2018)<strong>: </strong>Use neural network architectures adapted for graph data, allowing for more flexible and powerful embeddings that can incorporate additional node features</li> </ul> <p>Knowledge graph embedding frameworks provide implementations of various models: </p> <ul class="wp-block-list"> <li><a href="https://github.com/uma-pi1/kge"><strong><span style="text-decoration: underline;">LibKGE</span></strong></a> – PyTorch-based library for KGE models training and evaluation with a special focus on reproducible research.</li> <li><a href="https://pykeen.readthedocs.io/en/stable/"><strong><span style="text-decoration: underline;">PyKeen</span></strong></a> (Python Knowledge Graph Embeddings) – a library that provides implementations of various KGE models</li> <li><a href="https://docs.ampligraph.org/en/latest/"><strong><span style="text-decoration: underline;">AmpliGraph</span></strong></a>– an open-source Python library for KGE models, primarily used for link prediction.</li> <li><a href="https://github.com/thunlp/OpenKE"><strong><span style="text-decoration: underline;">OpenKE</span></strong></a> (Open-source Knowledge Embedding) toolkit for knowledge representation learning</li> <li><a href="https://dglke.dgl.ai/doc/#"><strong><span style="text-decoration: underline;">DGL-KE</span></strong></a> (Deep Graph Library for Knowledge Embedding) – built on top of the Deep Graph Library (DGL) and is optimized for training large-scale knowledge graph embeddings efficiently using multiple GPUs and machines</li> </ul> <h2 class="wp-block-heading" id="h-how-does-it-work">How does it work?</h2> <h3 class="wp-block-heading" id="h-transe-model">TransE model</h3> <p>To illustrate link prediction using the <strong>TransE </strong>model on the given knowledge graph, we need first to establish entity and relation embeddings. TransE represents entities and relations as vectors in a continuous vector space. </p> <p>For a triplet <strong>(head, relation, tail)</strong>, TransE aims to enforce:</p> <p><strong>head + relation </strong>≈<strong> tail</strong></p> <p>where <strong>head</strong>, <strong>relation</strong>, and <strong>tail </strong>are the embeddings of the head entity, relation, and tail entity, respectively. The optimization objective is usually to minimize the difference between (<strong>head + relation) </strong>and <strong>tail.</strong></p> <p>Let’s consider a simplified scenario with low-dimensional embeddings for illustrative purposes. Assume all embeddings are in 2-dimensional space.</p> <p>For the example with countries in the knowledge graph presented above, we can accept that the following vectors are created for nodes (countries and continents) and relationships (borderWith and containedInPlace).</p> <figure class="wp-block-image is-resized"><img decoding="async" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXcroskNUvkpfuxAtHQqSKYtBnjmAHO1IthMfCk0xnBgY-sIvVIEabUKZSEGoStNFmm2gW3-ucOf7bhbKBcT9B2sxnUdVVzjSfs0rAPQGE_zzPK2uA_cmRuCHJbnBp75zJhSphbJqlCW0fuuv5VpKnjZmEA?key=RV4f-zmlRG59qYqE8pxsqw" alt="" style="width:271px;height:auto"/></figure> <h6 class="wp-block-heading" id="h-calculate-expected-outcomes-for-known-triplets"><strong>Calculate Expected Outcomes for Known Triplets:</strong></h6> <p> 1. (Romania, containedInPlace, Europe):</p> <p>Romania + containedInPlace ≈ Europe</p> <p>(0.5, 0.2) + (0.1, 0.1) = (0.6, 0.3)</p> <p>This closely approximates Europe = (0.4, 0.3).</p> <p></br></p> <p>2. (Serbia, containedInPlace, Europe):</p> <p>Serbia + containedInPlace ≈ Europe</p> <p>(0.7, 0.1) + (0.1, 0.1) = (0.8, 0.2)</p> <p></br></p> <p>3. (Romania, borderWith, Serbia):</p> <p>Romania + borderWith ≈ Serbia</p> <p>(0.5, 0.2) + (0.2, 0.0) = (0.7, 0.2)</p> <p></br></p> <p>4. (Greece, containedInPlace, Europe):</p> <p>Greece + containedInPlace ≈ Europe</p> <p>(0.3, 0.7) + (0.1, 0.1) = (0.4, 0.8)</p> <p></br></p> <p>5. (Bulgaria, borderWith, Romania):</p> <p>Bulgaria + borderWith ≈ Romania</p> <p>(0.6, 0.5) + (0.2, 0.0) = (0.8, 0.5)</p> <p></br></p> <p>6.(Bulgaria, borderWith, Greece):</p> <p>Bulgaria + borderWith ≈ Greece</p> <p>(0.6, 0.5) + (0.2, 0.0) = (0.8, 0.5)</p> <p></br></p> <h6 class="wp-block-heading" id="h-link-prediction"><strong><strong>Link Prediction:</strong></strong></h6> <p>For link prediction, we can predict unknown links by evaluating which entities, when added with a relationship vector, yield results close to a known entity embedding.</p> <p><strong>Predicting (Bulgaria, containedInPlace, ?): </strong></p> <p>Using containedInPlace:</p> <p>Bulgaria + containedInPlace = (0.6, 0.5) + (0.1, 0.1) = (0.7, 0.6)</p> <p>Compare (0.7, 0.6) to all location vectors and find which entity is closest: likely candidates include possibly “Europe” based on proximity in this vector space.</p> <p><strong>Predicting (?, borderWith, Greece):</strong></p> <p>? + borderWith ≈ Greece</p> <p>For ? + (0.2, 0.0) ≈ (0.3, 0.7), reverse the operation:</p> <p>? = Greece − borderWith = (0.3, 0.7) − (0.2, 0.0) = (0.1, 0.7)</p> <p>Again, compare this result to other entities; closer vectors might indicate good candidates.</p> <figure class="wp-block-image"><img decoding="async" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXfDKUu0FdcNkQN4Vf-DK3L1IO8nZiBHREe-JBa8H0gXsfEM5PmaWNj5kHjDPJ8ll9Y8AWa1oAdBZOxOLmk60af11JxsXXqUhEPPt61ZvwjJS0tR7y3YYcYENBe1RcCUt7KcE1Cs12gQYJ_TL2UvTjrG_Zzl?key=RV4f-zmlRG59qYqE8pxsqw" alt=""/></figure> <p>It’s important to note that these embeddings are illustrative. In practice, they would be learned from data through optimization algorithms and would likely be in a higher-dimensional space to accurately reflect complex relationships.</p> <h2 class="wp-block-heading" id="h-why-are-knowledge-graph-embeddings-important"><strong>Why are knowledge graph embeddings important?</strong></h2> <p><strong> </strong>Knowledge graph embeddings aim to achieve several goals:</p> <ol class="wp-block-list"> <li><strong>Simplifying complex data:</strong> <ul class="wp-block-list"> <li>Knowledge graphs are often incredibly complex, with millions of entities and relations. By converting this complexity into knowledge graph embeddings, we can make the information easier to work with, store, and process.</li> </ul> </li> <li><strong>Machine learning Improvement:</strong> <ul class="wp-block-list"> <li>Machine learning algorithms work better with numerical data. When we turn entities and relations into embeddings, we can feed this data into machine learning models to perform tasks like link prediction, entity classification, knowledge graph completion, or similarity search.</li> </ul> </li> <li><strong>Search and recommendations enhancement:</strong> <ul class="wp-block-list"> <li>In a search engine, knowledge graph embeddings can help improve search results by better understanding the relationships between different pieces of information. Similarly, they can power recommendation systems by suggesting new friends on social media or new movies to watch based on your interests.</li> </ul> </li> <li><strong>Accessing hidden patterns:</strong> <ul class="wp-block-list"> <li>With embeddings, we can uncover hidden patterns or relationships in the data that might not be immediately obvious. This can be valuable for research, business insights, and more.</li> </ul> </li> </ol> <p>To sum up, knowledge graph embeddings take a complex knowledge graph of information and turn it into a more manageable form that makes it easier for computers to analyze, understand, and derive valuable insights from it.</p> <div class="wp-block-columns single-post-cta is-layout-flex wp-container-core-columns-is-layout-1 wp-block-columns-is-layout-flex" style="margin-top:48px;margin-bottom:48px"> <div class="wp-block-column is-layout-flow wp-block-column-is-layout-flow"> <h3 class="wp-block-heading" id="h-want-to-learn-more-about-knowledge-graph-embeddings">Want to learn more about knowledge graph embeddings?</h3> <p>Dive into our AI in Action series</p> </div> <div class="wp-block-column is-layout-flow wp-block-column-is-layout-flow"> <div class="wp-block-buttons is-layout-flex wp-block-buttons-is-layout-flex"> <div class="wp-block-button is-style-fill btn-icon btn-icon-arrow"><a 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