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mapping</title> <meta name="description" content="Search results for: bilinear mapping"> <meta name="keywords" content="bilinear mapping"> <meta name="viewport" content="width=device-width, initial-scale=1, minimum-scale=1, maximum-scale=1, user-scalable=no"> <meta charset="utf-8"> <link href="https://cdn.waset.org/favicon.ico" type="image/x-icon" rel="shortcut icon"> <link href="https://cdn.waset.org/static/plugins/bootstrap-4.2.1/css/bootstrap.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/plugins/fontawesome/css/all.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/css/site.css?v=150220211555" rel="stylesheet"> </head> <body> <header> <div class="container"> <nav class="navbar navbar-expand-lg navbar-light"> <a class="navbar-brand" href="https://waset.org"> <img src="https://cdn.waset.org/static/images/wasetc.png" alt="Open Science Research Excellence" title="Open Science Research Excellence" /> </a> <button class="d-block d-lg-none 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action="https://publications.waset.org/abstracts/search"> <div id="custom-search-input"> <div class="input-group"> <i class="fas fa-search"></i> <input type="text" class="search-query" name="q" placeholder="Author, Title, Abstract, Keywords" value="bilinear mapping"> <input type="submit" class="btn_search" value="Search"> </div> </div> </form> </div> </div> <div class="row mt-3"> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Commenced</strong> in January 2007</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Frequency:</strong> Monthly</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Edition:</strong> International</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Paper Count:</strong> 1169</div> </div> </div> </div> <h1 class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: bilinear mapping</h1> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1169</span> Sub-Pixel Mapping Based on New Mixed Interpolation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Zeyu%20Zhou">Zeyu Zhou</a>, <a href="https://publications.waset.org/abstracts/search?q=Xiaojun%20Bi"> Xiaojun Bi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Due to the limited environmental parameters and the limited resolution of the sensor, the universal existence of the mixed pixels in the process of remote sensing images restricts the spatial resolution of the remote sensing images. Sub-pixel mapping technology can effectively improve the spatial resolution. As the bilinear interpolation algorithm inevitably produces the edge blur effect, which leads to the inaccurate sub-pixel mapping results. In order to avoid the edge blur effect that affects the sub-pixel mapping results in the interpolation process, this paper presents a new edge-directed interpolation algorithm which uses the covariance adaptive interpolation algorithm on the edge of the low-resolution image and uses bilinear interpolation algorithm in the low-resolution image smooth area. By using the edge-directed interpolation algorithm, the super-resolution of the image with low resolution is obtained, and we get the percentage of each sub-pixel under a certain type of high-resolution image. Then we rely on the probability value as a soft attribute estimate and carry out sub-pixel scale under the ‘hard classification’. Finally, we get the result of sub-pixel mapping. Through the experiment, we compare the algorithm and the bilinear algorithm given in this paper to the results of the sub-pixel mapping method. It is found that the sub-pixel mapping method based on the edge-directed interpolation algorithm has better edge effect and higher mapping accuracy. The results of the paper meet our original intention of the question. At the same time, the method does not require iterative computation and training of samples, making it easier to implement. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=remote%20sensing%20images" title="remote sensing images">remote sensing images</a>, <a href="https://publications.waset.org/abstracts/search?q=sub-pixel%20mapping" title=" sub-pixel mapping"> sub-pixel mapping</a>, <a href="https://publications.waset.org/abstracts/search?q=bilinear%20interpolation" title=" bilinear interpolation"> bilinear interpolation</a>, <a href="https://publications.waset.org/abstracts/search?q=edge-directed%20interpolation" title=" edge-directed interpolation"> edge-directed interpolation</a> </p> <a href="https://publications.waset.org/abstracts/77883/sub-pixel-mapping-based-on-new-mixed-interpolation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/77883.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">229</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1168</span> Identification of Classes of Bilinear Time Series Models</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Anthony%20Usoro">Anthony Usoro</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, two classes of bilinear time series model are obtained under certain conditions from the general bilinear autoregressive moving average model. Bilinear Autoregressive (BAR) and Bilinear Moving Average (BMA) Models have been identified. From the general bilinear model, BAR and BMA models have been proved to exist for q = Q = 0, => j = 0, and p = P = 0, => i = 0 respectively. These models are found useful in modelling most of the economic and financial data. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=autoregressive%20model" title="autoregressive model">autoregressive model</a>, <a href="https://publications.waset.org/abstracts/search?q=bilinear%20autoregressive%20model" title=" bilinear autoregressive model"> bilinear autoregressive model</a>, <a href="https://publications.waset.org/abstracts/search?q=bilinear%20moving%20average%20model" title=" bilinear moving average model"> bilinear moving average model</a>, <a href="https://publications.waset.org/abstracts/search?q=moving%20average%20model" title=" moving average model"> moving average model</a> </p> <a href="https://publications.waset.org/abstracts/56430/identification-of-classes-of-bilinear-time-series-models" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/56430.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">407</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1167</span> An Algorithm to Compute the State Estimation of a Bilinear Dynamical Systems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Abdullah%20Eqal%20Al%20Mazrooei">Abdullah Eqal Al Mazrooei</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we introduce a mathematical algorithm which is used for estimating the states in the bilinear systems. This algorithm uses a special linearization of the second-order term by using the best available information about the state of the system. This technique makes our algorithm generalizes the well-known Kalman estimators. The system which is used here is of the bilinear class, the evolution of this model is linear-bilinear in the state of the system. Our algorithm can be used with linear and bilinear systems. We also here introduced a real application for the new algorithm to prove the feasibility and the efficiency for it. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=estimation%20algorithm" title="estimation algorithm">estimation algorithm</a>, <a href="https://publications.waset.org/abstracts/search?q=bilinear%20systems" title=" bilinear systems"> bilinear systems</a>, <a href="https://publications.waset.org/abstracts/search?q=Kakman%20filter" title=" Kakman filter"> Kakman filter</a>, <a href="https://publications.waset.org/abstracts/search?q=second%20order%20linearization" title=" second order linearization"> second order linearization</a> </p> <a href="https://publications.waset.org/abstracts/51466/an-algorithm-to-compute-the-state-estimation-of-a-bilinear-dynamical-systems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/51466.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">486</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1166</span> Tensor Deep Stacking Neural Networks and Bilinear Mapping Based Speech Emotion Classification Using Facial Electromyography</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=P.%20S.%20Jagadeesh%20Kumar">P. S. Jagadeesh Kumar</a>, <a href="https://publications.waset.org/abstracts/search?q=Yang%20Yung"> Yang Yung</a>, <a href="https://publications.waset.org/abstracts/search?q=Wenli%20Hu"> Wenli Hu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Speech emotion classification is a dominant research field in finding a sturdy and profligate classifier appropriate for different real-life applications. This effort accentuates on classifying different emotions from speech signal quarried from the features related to pitch, formants, energy contours, jitter, shimmer, spectral, perceptual and temporal features. Tensor deep stacking neural networks were supported to examine the factors that influence the classification success rate. Facial electromyography signals were composed of several forms of focuses in a controlled atmosphere by means of audio-visual stimuli. Proficient facial electromyography signals were pre-processed using moving average filter, and a set of arithmetical features were excavated. Extracted features were mapped into consistent emotions using bilinear mapping. With facial electromyography signals, a database comprising diverse emotions will be exposed with a suitable fine-tuning of features and training data. A success rate of 92% can be attained deprived of increasing the system connivance and the computation time for sorting diverse emotional states. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=speech%20emotion%20classification" title="speech emotion classification">speech emotion classification</a>, <a href="https://publications.waset.org/abstracts/search?q=tensor%20deep%20stacking%20neural%20networks" title=" tensor deep stacking neural networks"> tensor deep stacking neural networks</a>, <a href="https://publications.waset.org/abstracts/search?q=facial%20electromyography" title=" facial electromyography"> facial electromyography</a>, <a href="https://publications.waset.org/abstracts/search?q=bilinear%20mapping" title=" bilinear mapping"> bilinear mapping</a>, <a href="https://publications.waset.org/abstracts/search?q=audio-visual%20stimuli" title=" audio-visual stimuli"> audio-visual stimuli</a> </p> <a href="https://publications.waset.org/abstracts/78499/tensor-deep-stacking-neural-networks-and-bilinear-mapping-based-speech-emotion-classification-using-facial-electromyography" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/78499.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">254</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1165</span> Kalman Filter for Bilinear Systems with Application</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Abdullah%20E.%20Al-Mazrooei">Abdullah E. Al-Mazrooei </a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we present a new kind of the bilinear systems in the form of state space model. The evolution of this system depends on the product of state vector by its self. The well known Lotak Volterra and Lorenz models are special cases of this new model. We also present here a generalization of Kalman filter which is suitable to work with the new bilinear model. An application to real measurements is introduced to illustrate the efficiency of the proposed algorithm. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=bilinear%20systems" title="bilinear systems">bilinear systems</a>, <a href="https://publications.waset.org/abstracts/search?q=state%20space%20model" title=" state space model"> state space model</a>, <a href="https://publications.waset.org/abstracts/search?q=Kalman%20filter" title=" Kalman filter"> Kalman filter</a>, <a href="https://publications.waset.org/abstracts/search?q=application" title=" application"> application</a>, <a href="https://publications.waset.org/abstracts/search?q=models" title=" models"> models</a> </p> <a href="https://publications.waset.org/abstracts/3737/kalman-filter-for-bilinear-systems-with-application" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/3737.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">440</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1164</span> Exact and Approximate Controllability of Nuclear Dynamics Using Bilinear Controls</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ramdas%20Sonawane">Ramdas Sonawane</a>, <a href="https://publications.waset.org/abstracts/search?q=Mahaveer%20Gadiya"> Mahaveer Gadiya</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The control problem associated with nuclear dynamics is represented by nonlinear integro-differential equation with additive controls. To control chain reaction, certain amount of neutrons is added into (or withdrawn out of) chamber as and when required. It is not realistic. So, we can think of controlling the reactor dynamics by bilinear control, which enters the system as coefficient of state. In this paper, we study the approximate and exact controllability of parabolic integro-differential equation controlled by bilinear control with non-homogeneous boundary conditions in bounded domain. We prove the existence of control and propose an explicit control strategy. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=approximate%20control" title="approximate control">approximate control</a>, <a href="https://publications.waset.org/abstracts/search?q=exact%20control" title=" exact control"> exact control</a>, <a href="https://publications.waset.org/abstracts/search?q=bilinear%20control" title=" bilinear control"> bilinear control</a>, <a href="https://publications.waset.org/abstracts/search?q=nuclear%20dynamics" title=" nuclear dynamics"> nuclear dynamics</a>, <a href="https://publications.waset.org/abstracts/search?q=integro-differential%20equations" title=" integro-differential equations"> integro-differential equations</a> </p> <a href="https://publications.waset.org/abstracts/58619/exact-and-approximate-controllability-of-nuclear-dynamics-using-bilinear-controls" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/58619.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">444</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1163</span> Infinite Impulse Response Digital Filters Design</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Phuoc%20Si%20Nguyen">Phuoc Si Nguyen</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Infinite impulse response (IIR) filters can be designed from an analogue low pass prototype by using frequency transformation in the s-domain and bilinear z-transformation with pre-warping frequency; this method is known as frequency transformation from the s-domain to the z-domain. This paper will introduce a new method to transform an IIR digital filter to another type of IIR digital filter (low pass, high pass, band pass, band stop or narrow band) using a technique based on inverse bilinear z-transformation and inverse matrices. First, a matrix equation is derived from inverse bilinear z-transformation and Pascal’s triangle. This Low Pass Digital to Digital Filter Pascal Matrix Equation is used to transform a low pass digital filter to other digital filter types. From this equation and the inverse matrix, a Digital to Digital Filter Pascal Matrix Equation can be derived that is able to transform any IIR digital filter. This paper will also introduce some specific matrices to replace the inverse matrix, which is difficult to determine due to the larger size of the matrix in the current method. This will make computing and hand calculation easier when transforming from one IIR digital filter to another in the digital domain. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=bilinear%20z-transformation" title="bilinear z-transformation">bilinear z-transformation</a>, <a href="https://publications.waset.org/abstracts/search?q=frequency%20transformation" title=" frequency transformation"> frequency transformation</a>, <a href="https://publications.waset.org/abstracts/search?q=inverse%20bilinear%20z-transformation" title=" inverse bilinear z-transformation"> inverse bilinear z-transformation</a>, <a href="https://publications.waset.org/abstracts/search?q=IIR%20digital%20filters" title=" IIR digital filters"> IIR digital filters</a> </p> <a href="https://publications.waset.org/abstracts/48777/infinite-impulse-response-digital-filters-design" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/48777.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">423</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1162</span> A Nonlinear Dynamical System with Application</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Abdullah%20Eqal%20Al%20Mazrooei">Abdullah Eqal Al Mazrooei</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, a nonlinear dynamical system is presented. This system is a bilinear class. The bilinear systems are very important kind of nonlinear systems because they have many applications in real life. They are used in biology, chemistry, manufacturing, engineering, and economics where linear models are ineffective or inadequate. They have also been recently used to analyze and forecast weather conditions. Bilinear systems have three advantages: First, they define many problems which have a great applied importance. Second, they give us approximations to nonlinear systems. Thirdly, they have a rich geometric and algebraic structures, which promises to be a fruitful field of research for scientists and applications. The type of nonlinearity that is treated and analyzed consists of bilinear interaction between the states vectors and the system input. By using some properties of the tensor product, these systems can be transformed to linear systems. But, here we discuss the nonlinearity when the state vector is multiplied by itself. So, this model will be able to handle evolutions according to the Lotka-Volterra models or the Lorenz weather models, thus enabling a wider and more flexible application of such models. Here we apply by using an estimator to estimate temperatures. The results prove the efficiency of the proposed system. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Lorenz%20models" title="Lorenz models">Lorenz models</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlinear%20systems" title=" nonlinear systems"> nonlinear systems</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlinear%20estimator" title=" nonlinear estimator"> nonlinear estimator</a>, <a href="https://publications.waset.org/abstracts/search?q=state-space%20model" title=" state-space model"> state-space model</a> </p> <a href="https://publications.waset.org/abstracts/60388/a-nonlinear-dynamical-system-with-application" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/60388.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">254</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1161</span> Evaluation of High Damping Rubber Considering Initial History through Dynamic Loading Test and Program Analysis</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Kyeong%20Hoon%20Park">Kyeong Hoon Park</a>, <a href="https://publications.waset.org/abstracts/search?q=Taiji%20Mazuda"> Taiji Mazuda</a> </p> <p class="card-text"><strong>Abstract:</strong></p> High damping rubber (HDR) bearings are dissipating devices mainly used in seismic isolation systems and have a great damping performance. Although many studies have been conducted on the dynamic model of HDR bearings, few models can reflect phenomena such as dependency of experienced shear strain on initial history. In order to develop a model that can represent the dependency of experienced shear strain of HDR by Mullins effect, dynamic loading test was conducted using HDR specimen. The reaction of HDR was measured by applying a horizontal vibration using a hybrid actuator under a constant vertical load. Dynamic program analysis was also performed after dynamic loading test. The dynamic model applied in program analysis is a bilinear type double-target model. This model is modified from typical bilinear model. This model can express the nonlinear characteristics related to the initial history of HDR bearings. Based on the dynamic loading test and program analysis results, equivalent stiffness and equivalent damping ratio were calculated to evaluate the mechanical properties of HDR and the feasibility of the bilinear type double-target model was examined. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=base-isolation" title="base-isolation">base-isolation</a>, <a href="https://publications.waset.org/abstracts/search?q=bilinear%20model" title=" bilinear model"> bilinear model</a>, <a href="https://publications.waset.org/abstracts/search?q=high%20damping%20rubber" title=" high damping rubber"> high damping rubber</a>, <a href="https://publications.waset.org/abstracts/search?q=loading%20test" title=" loading test"> loading test</a> </p> <a href="https://publications.waset.org/abstracts/127258/evaluation-of-high-damping-rubber-considering-initial-history-through-dynamic-loading-test-and-program-analysis" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/127258.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">123</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1160</span> Frequency Transformation with Pascal Matrix Equations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Phuoc%20Si%20Nguyen">Phuoc Si Nguyen</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Frequency transformation with Pascal matrix equations is a method for transforming an electronic filter (analogue or digital) into another filter. The technique is based on frequency transformation in the s-domain, bilinear z-transform with pre-warping frequency, inverse bilinear transformation and a very useful application of the Pascal’s triangle that simplifies computing and enables calculation by hand when transforming from one filter to another. This paper will introduce two methods to transform a filter into a digital filter: frequency transformation from the s-domain into the z-domain; and frequency transformation in the z-domain. Further, two Pascal matrix equations are derived: an analogue to digital filter Pascal matrix equation and a digital to digital filter Pascal matrix equation. These are used to design a desired digital filter from a given filter. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=frequency%20transformation" title="frequency transformation">frequency transformation</a>, <a href="https://publications.waset.org/abstracts/search?q=bilinear%20z-transformation" title=" bilinear z-transformation"> bilinear z-transformation</a>, <a href="https://publications.waset.org/abstracts/search?q=pre-warping%20frequency" title=" pre-warping frequency"> pre-warping frequency</a>, <a href="https://publications.waset.org/abstracts/search?q=digital%20filters" title=" digital filters"> digital filters</a>, <a href="https://publications.waset.org/abstracts/search?q=analog%20filters" title=" analog filters"> analog filters</a>, <a href="https://publications.waset.org/abstracts/search?q=pascal%E2%80%99s%20triangle" title=" pascal’s triangle"> pascal’s triangle</a> </p> <a href="https://publications.waset.org/abstracts/34866/frequency-transformation-with-pascal-matrix-equations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/34866.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">549</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1159</span> Alternating Expectation-Maximization Algorithm for a Bilinear Model in Isoform Quantification from RNA-Seq Data</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Wenjiang%20Deng">Wenjiang Deng</a>, <a href="https://publications.waset.org/abstracts/search?q=Tian%20Mou"> Tian Mou</a>, <a href="https://publications.waset.org/abstracts/search?q=Yudi%20Pawitan"> Yudi Pawitan</a>, <a href="https://publications.waset.org/abstracts/search?q=Trung%20Nghia%20Vu"> Trung Nghia Vu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Estimation of isoform-level gene expression from RNA-seq data depends on simplifying assumptions, such as uniform reads distribution, that are easily violated in real data. Such violations typically lead to biased estimates. Most existing methods provide a bias correction step(s), which is based on biological considerations, such as GC content–and applied in single samples separately. The main problem is that not all biases are known. For example, new technologies such as single-cell RNA-seq (scRNA-seq) may introduce new sources of bias not seen in bulk-cell data. This study introduces a method called XAEM based on a more flexible and robust statistical model. Existing methods are essentially based on a linear model Xβ, where the design matrix X is known and derived based on the simplifying assumptions. In contrast, XAEM considers Xβ as a bilinear model with both X and β unknown. Joint estimation of X and β is made possible by simultaneous analysis of multi-sample RNA-seq data. Compared to existing methods, XAEM automatically performs empirical correction of potentially unknown biases. XAEM implements an alternating expectation-maximization (AEM) algorithm, alternating between estimation of X and β. For speed XAEM utilizes quasi-mapping for read alignment, thus leading to a fast algorithm. Overall XAEM performs favorably compared to other recent advanced methods. For simulated datasets, XAEM obtains higher accuracy for multiple-isoform genes, particularly for paralogs. In a differential-expression analysis of a real scRNA-seq dataset, XAEM achieves substantially greater rediscovery rates in an independent validation set. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=alternating%20EM%20algorithm" title="alternating EM algorithm">alternating EM algorithm</a>, <a href="https://publications.waset.org/abstracts/search?q=bias%20correction" title=" bias correction"> bias correction</a>, <a href="https://publications.waset.org/abstracts/search?q=bilinear%20model" title=" bilinear model"> bilinear model</a>, <a href="https://publications.waset.org/abstracts/search?q=gene%20expression" title=" gene expression"> gene expression</a>, <a href="https://publications.waset.org/abstracts/search?q=RNA-seq" title=" RNA-seq"> RNA-seq</a> </p> <a href="https://publications.waset.org/abstracts/100726/alternating-expectation-maximization-algorithm-for-a-bilinear-model-in-isoform-quantification-from-rna-seq-data" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/100726.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">142</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1158</span> A Low-Latency Quadratic Extended Domain Modular Multiplier for Bilinear Pairing Based on Non-Least Positive Multiplication</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Yulong%20Jia">Yulong Jia</a>, <a href="https://publications.waset.org/abstracts/search?q=Xiang%20Zhang"> Xiang Zhang</a>, <a href="https://publications.waset.org/abstracts/search?q=Ziyuan%20Wu"> Ziyuan Wu</a>, <a href="https://publications.waset.org/abstracts/search?q=Shiji%20Hu"> Shiji Hu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The calculation of bilinear pairing is the core of the SM9 algorithm, which relies on the underlying prime domain algorithm and the quadratic extension domain algorithm. Among the field algorithms, modular multiplication operation is the most time-consuming part. Therefore, the underlying modular multiplication algorithm is optimized to maximize the operation speed of bilinear pairings. This paper uses a modular multiplication method based on non-least positive (NLP) combined with Karatsuba and schoolbook multiplication to improve the Montgomery algorithm. At the same time, according to the characteristics of multiplication operation in the quadratic extension domain, a quadratic extension domain FP2-NLP modular multiplication algorithm for bilinear pairings is proposed, which effectively reduces the operation time of modular multiplication in the quadratic extension domain. The sub-expanded domain Fp₂ -NLP modular multiplication algorithm effectively reduces the operation time of modular multiplication under the second-expanded domain. The multiplication unit in the quadratic extension domain is implemented using SMIC55nm process, and two different implementation architectures are designed to cope with different application scenarios. Compared with the existing related literature, The output latency of this design can reach a minimum of 15 cycles. The shortest time for calculating the (AB+CD)r⁻¹ mod form is 37.5ns, and the comprehensive area-time product (AT) is 11400. The final R-ate pairing algorithm hardware accelerator consumes 2670k equivalent logic gates and 1.8ms computing time in 55nm process. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=sm9" title="sm9">sm9</a>, <a href="https://publications.waset.org/abstracts/search?q=hardware" title=" hardware"> hardware</a>, <a href="https://publications.waset.org/abstracts/search?q=NLP" title=" NLP"> NLP</a>, <a href="https://publications.waset.org/abstracts/search?q=Montgomery" title=" Montgomery"> Montgomery</a> </p> <a href="https://publications.waset.org/abstracts/194787/a-low-latency-quadratic-extended-domain-modular-multiplier-for-bilinear-pairing-based-on-non-least-positive-multiplication" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/194787.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">5</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1157</span> An Alternative Way to Mapping Cone</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Yousuf%20Alkhezi">Yousuf Alkhezi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Since most of the literature on algebra does not make much deal with the special case of mapping cone. This paper is an alternative way to examine the special tensor product and mapping cone. Also, we show that the isomorphism that implies the mapping cone commutes with the tensor product for the ordinary tensor product no longer holds for the pinched tensor product. However, we show there is a morphism. We will introduce an alternative way of mapping cone. We are looking for more properties which is our future project. Also, we want to apply these new properties in some application. Many results and examples with classical algorithms will be provided. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=complex" title="complex">complex</a>, <a href="https://publications.waset.org/abstracts/search?q=tensor%20product" title=" tensor product"> tensor product</a>, <a href="https://publications.waset.org/abstracts/search?q=pinched%20tensore%20product" title=" pinched tensore product"> pinched tensore product</a>, <a href="https://publications.waset.org/abstracts/search?q=mapping%20cone" title=" mapping cone"> mapping cone</a> </p> <a href="https://publications.waset.org/abstracts/153677/an-alternative-way-to-mapping-cone" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/153677.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">130</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1156</span> Symbolic Computation on Variable-Coefficient Non-Linear Dispersive Wave Equations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Edris%20Rawashdeh">Edris Rawashdeh</a>, <a href="https://publications.waset.org/abstracts/search?q=I.%20Abu-Falahah"> I. Abu-Falahah</a>, <a href="https://publications.waset.org/abstracts/search?q=H.%20M.%20Jaradat"> H. M. Jaradat</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The variable-coefficient non-linear dispersive wave equation is investigated with the aid of symbolic computation. By virtue of a newly developed simplified bilinear method, multi-soliton solutions for such an equation have been derived. Effects of the inhomogeneities of media and nonuniformities of boundaries, depicted by the variable coefficients, on the soliton behavior are discussed with the aid of the characteristic curve method and graphical analysis. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=dispersive%20wave%20equations" title="dispersive wave equations">dispersive wave equations</a>, <a href="https://publications.waset.org/abstracts/search?q=multiple%20soliton%20solution" title=" multiple soliton solution"> multiple soliton solution</a>, <a href="https://publications.waset.org/abstracts/search?q=Hirota%20Bilinear%20Method" title=" Hirota Bilinear Method"> Hirota Bilinear Method</a>, <a href="https://publications.waset.org/abstracts/search?q=symbolic%20computation" title=" symbolic computation"> symbolic computation</a> </p> <a href="https://publications.waset.org/abstracts/18831/symbolic-computation-on-variable-coefficient-non-linear-dispersive-wave-equations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/18831.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">456</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1155</span> Heuristic for Accelerating Run-Time Task Mapping in NoC-Based Heterogeneous MPSoCs</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=M.%20K.%20Benhaoua">M. K. Benhaoua</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20K.%20Singh"> A. K. Singh</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20E.%20H.%20Benyamina"> A. E. H. Benyamina</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20Kumar"> A. Kumar</a>, <a href="https://publications.waset.org/abstracts/search?q=P.%20Boulet"> P. Boulet</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we propose a new packing strategy to find free resources for run-time mapping of application tasks on NoC-based Heterogeneous MPSoCs. The proposed strategy minimizes the task mapping time in addition to placing the communicating tasks close to each other. To evaluate our approach, a comparative study is carried out. Experiments show that our strategy provides better results when compared to latest dynamic mapping strategies reported in the literature. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=heterogeneous%20MPSoCs" title="heterogeneous MPSoCs">heterogeneous MPSoCs</a>, <a href="https://publications.waset.org/abstracts/search?q=NoC" title=" NoC"> NoC</a>, <a href="https://publications.waset.org/abstracts/search?q=dynamic%20mapping" title=" dynamic mapping"> dynamic mapping</a>, <a href="https://publications.waset.org/abstracts/search?q=routing" title=" routing"> routing</a> </p> <a href="https://publications.waset.org/abstracts/7972/heuristic-for-accelerating-run-time-task-mapping-in-noc-based-heterogeneous-mpsocs" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/7972.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">526</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1154</span> Analysis of a Generalized Sharma-Tasso-Olver Equation with Variable Coefficients</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Fadi%20Awawdeh">Fadi Awawdeh</a>, <a href="https://publications.waset.org/abstracts/search?q=O.%20Alsayyed"> O. Alsayyed</a>, <a href="https://publications.waset.org/abstracts/search?q=S.%20Al-Shar%C3%A1"> S. Al-Shará</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Considering the inhomogeneities of media, the variable-coefficient Sharma-Tasso-Olver (STO) equation is hereby investigated with the aid of symbolic computation. A newly developed simplified bilinear method is described for the solution of considered equation. Without any constraints on the coefficient functions, multiple kink solutions are obtained. Parametric analysis is carried out in order to analyze the effects of the coefficient functions on the stabilities and propagation characteristics of the solitonic waves. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Hirota%20bilinear%20method" title="Hirota bilinear method">Hirota bilinear method</a>, <a href="https://publications.waset.org/abstracts/search?q=multiple%20kink%20solution" title=" multiple kink solution"> multiple kink solution</a>, <a href="https://publications.waset.org/abstracts/search?q=Sharma-Tasso-Olver%20equation" title=" Sharma-Tasso-Olver equation"> Sharma-Tasso-Olver equation</a>, <a href="https://publications.waset.org/abstracts/search?q=inhomogeneity%20of%20media" title=" inhomogeneity of media"> inhomogeneity of media</a> </p> <a href="https://publications.waset.org/abstracts/18827/analysis-of-a-generalized-sharma-tasso-olver-equation-with-variable-coefficients" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/18827.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">517</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1153</span> Dynamic Communications Mapping in NoC-Based Heterogeneous MPSoCs</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=M.%20K.%20Benhaoua">M. K. Benhaoua</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20K.%20Singh"> A. K. Singh</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20E.%20H.%20Benyamina"> A. E. H. Benyamina</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we propose heuristic for dynamic communications mapping that considers the placement of communications in order to optimize the overall performance. The mapping technique uses a newly proposed Algorithm to place communications between the tasks. The placement we propose of the communications leads to a better optimization of several performance metrics (time and energy consumption). Experimental results show that the proposed mapping approach provides significant performance improvements when compared to those using static routing. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Multi-Processor%20Systems-on-Chip%20%28MPSoCs%29" title="Multi-Processor Systems-on-Chip (MPSoCs)">Multi-Processor Systems-on-Chip (MPSoCs)</a>, <a href="https://publications.waset.org/abstracts/search?q=Network-on-Chip%20%28NoC%29" title=" Network-on-Chip (NoC)"> Network-on-Chip (NoC)</a>, <a href="https://publications.waset.org/abstracts/search?q=heterogeneous%20architectures" title=" heterogeneous architectures"> heterogeneous architectures</a>, <a href="https://publications.waset.org/abstracts/search?q=dynamic%20mapping%20heuristics" title=" dynamic mapping heuristics"> dynamic mapping heuristics</a> </p> <a href="https://publications.waset.org/abstracts/22269/dynamic-communications-mapping-in-noc-based-heterogeneous-mpsocs" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/22269.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">533</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1152</span> Multiple-Lump-Type Solutions of the 2D Toda Equation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Jian-Ping%20Yu">Jian-Ping Yu</a>, <a href="https://publications.waset.org/abstracts/search?q=Wen-Xiu%20Ma"> Wen-Xiu Ma</a>, <a href="https://publications.waset.org/abstracts/search?q=Yong-Li%20Sun"> Yong-Li Sun</a>, <a href="https://publications.waset.org/abstracts/search?q=Chaudry%20Masood%20Khalique"> Chaudry Masood Khalique</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, a 2d Toda equation is studied, which is a classical integrable system and plays a vital role in mathematics, physics and other areas. New lump-type solution is constructed by using the Hirota bilinear method. One interesting feature of this research is that this lump-type solutions possesses two types of multiple-lump-type waves, which are one- and two-lump-type waves. Moreover, the corresponding 3d plots, density plots and contour plots are given to show the dynamical features of the obtained multiple-lump-type solutions. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=2d%20Toda%20equation" title="2d Toda equation">2d Toda equation</a>, <a href="https://publications.waset.org/abstracts/search?q=Hirota%20bilinear%20method" title=" Hirota bilinear method"> Hirota bilinear method</a>, <a href="https://publications.waset.org/abstracts/search?q=Lump-type%20solution" title=" Lump-type solution"> Lump-type solution</a>, <a href="https://publications.waset.org/abstracts/search?q=multiple-lump-type%20solution" title=" multiple-lump-type solution"> multiple-lump-type solution</a> </p> <a href="https://publications.waset.org/abstracts/104938/multiple-lump-type-solutions-of-the-2d-toda-equation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/104938.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">222</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1151</span> Symbolic Computation for the Multi-Soliton Solutions of a Class of Fifth-Order Evolution Equations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Rafat%20Alshorman">Rafat Alshorman</a>, <a href="https://publications.waset.org/abstracts/search?q=Fadi%20Awawdeh"> Fadi Awawdeh</a> </p> <p class="card-text"><strong>Abstract:</strong></p> By employing a simplified bilinear method, a class of generalized fifth-order KdV (gfKdV) equations which arise in nonlinear lattice, plasma physics and ocean dynamics are investigated. With the aid of symbolic computation, both solitary wave solutions and multiple-soliton solutions are obtained. These new exact solutions will extend previous results and help us explain the properties of nonlinear solitary waves in many physical models in shallow water. Parametric analysis is carried out in order to illustrate that the soliton amplitude, width and velocity are affected by the coefficient parameters in the equation. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=multiple%20soliton%20solutions" title="multiple soliton solutions">multiple soliton solutions</a>, <a href="https://publications.waset.org/abstracts/search?q=fifth-order%20evolution%20equations" title=" fifth-order evolution equations"> fifth-order evolution equations</a>, <a href="https://publications.waset.org/abstracts/search?q=Cole-Hopf%20transformation" title=" Cole-Hopf transformation"> Cole-Hopf transformation</a>, <a href="https://publications.waset.org/abstracts/search?q=Hirota%20bilinear%20method" title=" Hirota bilinear method"> Hirota bilinear method</a> </p> <a href="https://publications.waset.org/abstracts/9376/symbolic-computation-for-the-multi-soliton-solutions-of-a-class-of-fifth-order-evolution-equations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/9376.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">319</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1150</span> Fault Diagnosis and Fault-Tolerant Control of Bilinear-Systems: Application to Heating, Ventilation, and Air Conditioning Systems in Multi-Zone Buildings</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Abderrhamane%20Jarou">Abderrhamane Jarou</a>, <a href="https://publications.waset.org/abstracts/search?q=Dominique%20%20Sauter"> Dominique Sauter</a>, <a href="https://publications.waset.org/abstracts/search?q=Christophe%20Aubrun"> Christophe Aubrun</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Over the past decade, the growing demand for energy efficiency in buildings has attracted the attention of the control community. Failures in HVAC (heating, ventilation and air conditioning) systems in buildings can have a significant impact on the desired and expected energy performance of buildings and on the user's comfort as well. FTC is a recent technology area that studies the adaptation of control algorithms to faulty operating conditions of a system. The application of Fault-Tolerant Control (FTC) in HVAC systems has gained attention in the last two decades. The objective is to maintain the variations in system performance due to faults within an acceptable range with respect to the desired nominal behavior. This paper considers the so-called active approach, which is based on fault and identification scheme combined with a control reconfiguration algorithm that consists in determining a new set of control parameters so that the reconfigured performance is "as close as possible, "in some sense, to the nominal performance. Thermal models of buildings and their HVAC systems are described by non-linear (usually bi-linear) equations. Most of the works carried out so far in FDI (fault diagnosis and isolation) or FTC consider a linearized model of the studied system. However, this model is only valid in a reduced range of variation. This study presents a new fault diagnosis (FD) algorithm based on a bilinear observer for the detection and accurate estimation of the magnitude of the HVAC system failure. The main contribution of the proposed FD algorithm is that instead of using specific linearized models, the algorithm inherits the structure of the actual bilinear model of the building thermal dynamics. As an immediate consequence, the algorithm is applicable to a wide range of unpredictable operating conditions, i.e., weather dynamics, outdoor air temperature, zone occupancy profile. A bilinear fault detection observer is proposed for a bilinear system with unknown inputs. The residual vector in the observer design is decoupled from the unknown inputs and, under certain conditions, is made sensitive to all faults. Sufficient conditions are given for the existence of the observer and results are given for the explicit computation of observer design matrices. Dedicated observer schemes (DOS) are considered for sensor FDI while unknown input bilinear observers are considered for actuator or system components FDI. The proposed strategy for FTC works as follows: At a first level, FDI algorithms are implemented, making it also possible to estimate the magnitude of the fault. Once the fault is detected, the fault estimation is then used to feed the second level and reconfigure the control low so that that expected performances are recovered. This paper is organized as follows. A general structure for fault-tolerant control of buildings is first presented and the building model under consideration is introduced. Then, the observer-based design for Fault Diagnosis of bilinear systems is studied. The FTC approach is developed in Section IV. Finally, a simulation example is given in Section V to illustrate the proposed method. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=bilinear%20systems" title="bilinear systems">bilinear systems</a>, <a href="https://publications.waset.org/abstracts/search?q=fault%20diagnosis" title=" fault diagnosis"> fault diagnosis</a>, <a href="https://publications.waset.org/abstracts/search?q=fault-tolerant%20control" title=" fault-tolerant control"> fault-tolerant control</a>, <a href="https://publications.waset.org/abstracts/search?q=multi-zones%20building" title=" multi-zones building"> multi-zones building</a> </p> <a href="https://publications.waset.org/abstracts/136860/fault-diagnosis-and-fault-tolerant-control-of-bilinear-systems-application-to-heating-ventilation-and-air-conditioning-systems-in-multi-zone-buildings" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/136860.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">172</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1149</span> Exact Soliton Solutions of the Integrable (2+1)-Dimensional Fokas-Lenells Equation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Meruyert%20Zhassybayeva">Meruyert Zhassybayeva</a>, <a href="https://publications.waset.org/abstracts/search?q=Kuralay%20Yesmukhanova"> Kuralay Yesmukhanova</a>, <a href="https://publications.waset.org/abstracts/search?q=Ratbay%20Myrzakulov"> Ratbay Myrzakulov</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Integrable nonlinear differential equations are an important class of nonlinear wave equations that admit exact soliton solutions. All these equations have an amazing property which is that their soliton waves collide elastically. One of such equations is the (1+1)-dimensional Fokas-Lenells equation. In this paper, we have constructed an integrable (2+1)-dimensional Fokas-Lenells equation. The integrability of this equation is ensured by the existence of a Lax representation for it. We obtained its bilinear form from the Hirota method. Using the Hirota method, exact one-soliton and two-soliton solutions of the (2 +1)-dimensional Fokas-Lenells equation were found. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Fokas-Lenells%20equation" title="Fokas-Lenells equation">Fokas-Lenells equation</a>, <a href="https://publications.waset.org/abstracts/search?q=integrability" title=" integrability"> integrability</a>, <a href="https://publications.waset.org/abstracts/search?q=soliton" title=" soliton"> soliton</a>, <a href="https://publications.waset.org/abstracts/search?q=the%20Hirota%20bilinear%20method" title=" the Hirota bilinear method"> the Hirota bilinear method</a> </p> <a href="https://publications.waset.org/abstracts/99044/exact-soliton-solutions-of-the-integrable-21-dimensional-fokas-lenells-equation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/99044.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">224</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1148</span> Mapping Method to Solve a Nonlinear Schrodinger Type Equation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Edamana%20Vasudevan%20Krishnan">Edamana Vasudevan Krishnan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper studies solitons in optical materials with the help of Mapping Method. Two types of nonlinear media have been investigated, namely, the cubic nonlinearity and the quintic nonlinearity. The soliton solutions, shock wave solutions and singular solutions have been derives with certain constraint conditions. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=solitons" title="solitons">solitons</a>, <a href="https://publications.waset.org/abstracts/search?q=integrability" title=" integrability"> integrability</a>, <a href="https://publications.waset.org/abstracts/search?q=metamaterials" title=" metamaterials"> metamaterials</a>, <a href="https://publications.waset.org/abstracts/search?q=mapping%20method" title=" mapping method"> mapping method</a> </p> <a href="https://publications.waset.org/abstracts/32851/mapping-method-to-solve-a-nonlinear-schrodinger-type-equation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/32851.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">494</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1147</span> Presenting a Knowledge Mapping Model According to a Comparative Study on Applied Models and Approaches to Map Organizational Knowledge</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ahmad%20Aslizadeh">Ahmad Aslizadeh</a>, <a href="https://publications.waset.org/abstracts/search?q=Farid%20Ghaderi"> Farid Ghaderi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Mapping organizational knowledge is an innovative concept and useful instrument of representation, capturing and visualization of implicit and explicit knowledge. There are a diversity of methods, instruments and techniques presented by different researchers following mapping organizational knowledge to reach determined goals. Implicating of these methods, it is necessary to know their exigencies and conditions in which those can be used. Integrating identified methods of knowledge mapping and comparing them would help knowledge managers to select the appropriate methods. This research conducted to presenting a model and framework to map organizational knowledge. At first, knowledge maps, their applications and necessity are introduced because of extracting comparative framework and detection of their structure. At the next step techniques of researchers such as Eppler, Kim, Egbu, Tandukar and Ebner as knowledge mapping models are presented and surveyed. Finally, they compare and a superior model would be introduced. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=knowledge%20mapping" title="knowledge mapping">knowledge mapping</a>, <a href="https://publications.waset.org/abstracts/search?q=knowledge%20management" title=" knowledge management"> knowledge management</a>, <a href="https://publications.waset.org/abstracts/search?q=comparative%20study" title=" comparative study"> comparative study</a>, <a href="https://publications.waset.org/abstracts/search?q=business%20and%20management" title=" business and management"> business and management</a> </p> <a href="https://publications.waset.org/abstracts/29967/presenting-a-knowledge-mapping-model-according-to-a-comparative-study-on-applied-models-and-approaches-to-map-organizational-knowledge" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/29967.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">403</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1146</span> Buzan Mind Mapping: An Efficient Technique for Note-Taking</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=T.%20K.%20Tee">T. K. Tee</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20N.%20A.%20Azman"> M. N. A. Azman</a>, <a href="https://publications.waset.org/abstracts/search?q=S.%20Mohamed"> S. Mohamed</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20Muhammad"> M. Muhammad</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20M.%20Mohamad"> M. M. Mohamad</a>, <a href="https://publications.waset.org/abstracts/search?q=J.%20Md%20Yunos"> J. Md Yunos</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20H.%20Yee"> M. H. Yee</a>, <a href="https://publications.waset.org/abstracts/search?q=W.%20Othman"> W. Othman </a> </p> <p class="card-text"><strong>Abstract:</strong></p> Buzan mind mapping is an efficient system of note-taking that makes revision a fun thing to do for students. Tony Buzan has been teaching children all over the world for the past thirty years and has proved that mind maps are the magic formula in the classroom for everyone. The purpose of this paper is to discuss the importance of Buzan mind mapping as a note-taking technique for the secondary school students. This paper also examines the mind mapping technique, advantages and disadvantages of hand-drawn mind maps. Samples of students’ mind maps were presented and discussed. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Buzan%20mind%20mapping" title="Buzan mind mapping">Buzan mind mapping</a>, <a href="https://publications.waset.org/abstracts/search?q=note-taking%20technique" title=" note-taking technique"> note-taking technique</a>, <a href="https://publications.waset.org/abstracts/search?q=hand-drawn" title=" hand-drawn"> hand-drawn</a>, <a href="https://publications.waset.org/abstracts/search?q=mind%20maps" title=" mind maps "> mind maps </a> </p> <a href="https://publications.waset.org/abstracts/4240/buzan-mind-mapping-an-efficient-technique-for-note-taking" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/4240.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">538</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1145</span> Mapping Feature Models to Code Using a Reference Architecture: A Case Study</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Karam%20Ignaim">Karam Ignaim</a>, <a href="https://publications.waset.org/abstracts/search?q=Joao%20M.%20Fernandes"> Joao M. Fernandes</a>, <a href="https://publications.waset.org/abstracts/search?q=Andre%20L.%20Ferreira"> Andre L. Ferreira</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Mapping the artifacts coming from a set of similar products family developed in an ad-hoc manner to make up the resulting software product line (SPL) plays a key role to maintain the consistency between requirements and code. This paper presents a feature mapping approach that focuses on tracing the artifact coming from the migration process, the current feature model (FM), to the other artifacts of the resulting SPL, the reference architecture, and code. Thus, our approach relates each feature of the current FM to its locations in the implementation code, using the reference architecture as an intermediate artifact (as a centric point) to preserve consistency among them during an SPL evolution. The approach uses a particular artifact (i.e., traceability tree) as a solution for managing the mapping process. Tool support is provided using friendlyMapper. We have evaluated the feature mapping approach and tool support by putting the approach into practice (i.e., conducting a case study) of the automotive domain for Classical Sensor Variants Family at Bosch Car Multimedia S.A. The evaluation reveals that the mapping approach presented by this paper fits the automotive domain. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=feature%20location" title="feature location">feature location</a>, <a href="https://publications.waset.org/abstracts/search?q=feature%20models" title=" feature models"> feature models</a>, <a href="https://publications.waset.org/abstracts/search?q=mapping" title=" mapping"> mapping</a>, <a href="https://publications.waset.org/abstracts/search?q=software%20product%20lines" title=" software product lines"> software product lines</a>, <a href="https://publications.waset.org/abstracts/search?q=traceability" title=" traceability"> traceability</a> </p> <a href="https://publications.waset.org/abstracts/133113/mapping-feature-models-to-code-using-a-reference-architecture-a-case-study" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/133113.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">127</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1144</span> A Simulation Tool for Projection Mapping Based on Mapbox and Unity</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Noriko%20Hanakawa">Noriko Hanakawa</a>, <a href="https://publications.waset.org/abstracts/search?q=Masaki%20Obana"> Masaki Obana</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A simulation tool has been proposed for big-scale projection mapping events. The tool has four main functions based on Mapbox and Unity utilities. The first function is building a 3D model of real cities by MapBox. The second function is a movie projection to some buildings in real cities by Unity. The third function is a movie sending function from a PC to a virtual projector. The fourth function is mapping movies with fitting buildings. The simulation tool was adapted to a real projection mapping event that was held in 2019. The event has been finished. The event had a serious problem in the movie projection to the target building. The extra tents were set in front of the target building. The tents became the obstacles to the movie projection. The simulation tool can be reappeared the problems of the event. Therefore, if the simulation tool was developed before the 2019 projection mapping event, the problem of the tents’ obstacles could be avoided with the simulation tool. In addition, we confirmed that the simulation tool is useful to make a plan of future projection mapping events in order to avoid obstacles of various extra equipment such as utility poles, planting trees, monument towers. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=projection%20mapping" title="projection mapping">projection mapping</a>, <a href="https://publications.waset.org/abstracts/search?q=projector%20position" title=" projector position"> projector position</a>, <a href="https://publications.waset.org/abstracts/search?q=real%203D%20map" title=" real 3D map"> real 3D map</a>, <a href="https://publications.waset.org/abstracts/search?q=avoiding%20obstacles" title=" avoiding obstacles"> avoiding obstacles</a> </p> <a href="https://publications.waset.org/abstracts/140107/a-simulation-tool-for-projection-mapping-based-on-mapbox-and-unity" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/140107.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">203</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1143</span> The Revised Completion of Student Internship Report by Goal Mapping</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Faizah%20Herman">Faizah Herman</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This study aims to explore the attitudes and behavior of goal mapping performed by the student in completing the internship report revised on time. The approach is phenomenological research with qualitative methods. Data sources include observation, interviews and questionnaires, focus group discussions. Research subject 5 students who have completed the internship report revisions in a timely manner. The analysis technique is an interactive model of Miles&Huberman data analysis techniques. The results showed that the students have a goal of mapping that includes the ultimate goal, formulate goals by identifying what are the things that need to be done, action to be taken and what kind of support is needed from the environment. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=goal%20mapping" title="goal mapping">goal mapping</a>, <a href="https://publications.waset.org/abstracts/search?q=revision%20internship%20report" title=" revision internship report"> revision internship report</a>, <a href="https://publications.waset.org/abstracts/search?q=students" title=" students"> students</a>, <a href="https://publications.waset.org/abstracts/search?q=Brawijaya" title=" Brawijaya"> Brawijaya</a> </p> <a href="https://publications.waset.org/abstracts/5083/the-revised-completion-of-student-internship-report-by-goal-mapping" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/5083.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">395</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1142</span> Algorithms for Run-Time Task Mapping in NoC-Based Heterogeneous MPSoCs</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=M.%20K.%20Benhaoua">M. K. Benhaoua</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20K.%20Singh"> A. K. Singh</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20E.%20Benyamina"> A. E. Benyamina</a>, <a href="https://publications.waset.org/abstracts/search?q=P.%20Boulet"> P. Boulet</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Mapping parallelized tasks of applications onto these MPSoCs can be done either at design time (static) or at run-time (dynamic). Static mapping strategies find the best placement of tasks at design-time, and hence, these are not suitable for dynamic workload and seem incapable of runtime resource management. The number of tasks or applications executing in MPSoC platform can exceed the available resources, requiring efficient run-time mapping strategies to meet these constraints. This paper describes a new Spiral Dynamic Task Mapping heuristic for mapping applications onto NoC-based Heterogeneous MPSoC. This heuristic is based on packing strategy and routing Algorithm proposed also in this paper. Heuristic try to map the tasks of an application in a clustering region to reduce the communication overhead between the communicating tasks. The heuristic proposed in this paper attempts to map the tasks of an application that are most related to each other in a spiral manner and to find the best possible path load that minimizes the communication overhead. In this context, we have realized a simulation environment for experimental evaluations to map applications with varying number of tasks onto an 8x8 NoC-based Heterogeneous MPSoCs platform, we demonstrate that the new mapping heuristics with the new modified dijkstra routing algorithm proposed are capable of reducing the total execution time and energy consumption of applications when compared to state-of-the-art run-time mapping heuristics reported in the literature. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=multiprocessor%20system%20on%20chip" title="multiprocessor system on chip">multiprocessor system on chip</a>, <a href="https://publications.waset.org/abstracts/search?q=MPSoC" title=" MPSoC"> MPSoC</a>, <a href="https://publications.waset.org/abstracts/search?q=network%20on%20chip" title=" network on chip"> network on chip</a>, <a href="https://publications.waset.org/abstracts/search?q=NoC" title=" NoC"> NoC</a>, <a href="https://publications.waset.org/abstracts/search?q=heterogeneous%20architectures" title=" heterogeneous architectures"> heterogeneous architectures</a>, <a href="https://publications.waset.org/abstracts/search?q=run-time%20mapping%20heuristics" title=" run-time mapping heuristics"> run-time mapping heuristics</a>, <a href="https://publications.waset.org/abstracts/search?q=routing%20algorithm" title=" routing algorithm "> routing algorithm </a> </p> <a href="https://publications.waset.org/abstracts/24295/algorithms-for-run-time-task-mapping-in-noc-based-heterogeneous-mpsocs" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/24295.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">489</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1141</span> The Use of Semantic Mapping Technique When Teaching English Vocabulary at Saudi Schools</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mohammed%20Hassan%20Alshaikhi">Mohammed Hassan Alshaikhi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Vocabulary is essential factor of learning and mastering any languages, and it helps learners to communicate with others and to be understood. The aim of this study was to examine whether semantic mapping technique was helpful in terms of improving student's English vocabulary learning comparing to the traditional technique. The students’ age was between 11 and 13 years old. There were 60 students in total who participated in this study. 30 students were in the treatment group (target vocabulary items were taught with semantic mapping). The other 30 students were in the control group (the target vocabulary items were taught by a traditional technique). A t-test was used with the results of pre-test and post-test in order to examine the outcomes of using semantic mapping when teaching vocabulary. The results showed that the vocabulary mastery in the treatment group was increased more than the control group. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=English%20language" title="English language">English language</a>, <a href="https://publications.waset.org/abstracts/search?q=learning%20vocabulary" title=" learning vocabulary"> learning vocabulary</a>, <a href="https://publications.waset.org/abstracts/search?q=Saudi%20teachers" title=" Saudi teachers"> Saudi teachers</a>, <a href="https://publications.waset.org/abstracts/search?q=semantic%20mapping" title=" semantic mapping"> semantic mapping</a>, <a href="https://publications.waset.org/abstracts/search?q=teaching%20vocabulary%20strategies" title=" teaching vocabulary strategies"> teaching vocabulary strategies</a> </p> <a href="https://publications.waset.org/abstracts/75154/the-use-of-semantic-mapping-technique-when-teaching-english-vocabulary-at-saudi-schools" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/75154.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">247</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1140</span> Variable Mapping: From Bibliometrics to Implications</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Przemys%C5%82aw%20Tomczyk">Przemysław Tomczyk</a>, <a href="https://publications.waset.org/abstracts/search?q=Dagmara%20Plata-Alf"> Dagmara Plata-Alf</a>, <a href="https://publications.waset.org/abstracts/search?q=Piotr%20Kwiatek"> Piotr Kwiatek</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Literature review is indispensable in research. One of the key techniques used in it is bibliometric analysis, where one of the methods is science mapping. The classic approach that dominates today in this area consists of mapping areas, keywords, terms, authors, or citations. This approach is also used in relation to the review of literature in the field of marketing. The development of technology has resulted in the fact that researchers and practitioners use the capabilities of software available on the market for this purpose. The use of science mapping software tools (e.g., VOSviewer, SciMAT, Pajek) in recent publications involves the implementation of a literature review, and it is useful in areas with a relatively high number of publications. Despite this well-grounded science mapping approach having been applied in the literature reviews, performing them is a painstaking task, especially if authors would like to draw precise conclusions about the studied literature and uncover potential research gaps. The aim of this article is to identify to what extent a new approach to science mapping, variable mapping, takes advantage of the classic science mapping approach in terms of research problem formulation and content/thematic analysis for literature reviews. To perform the analysis, a set of 5 articles on customer ideation was chosen. Next, the analysis of key words mapping results in VOSviewer science mapping software was performed and compared with the variable map prepared manually on the same articles. Seven independent expert judges (management scientists on different levels of expertise) assessed the usability of both the stage of formulating, the research problem, and content/thematic analysis. The results show the advantage of variable mapping in the formulation of the research problem and thematic/content analysis. First, the ability to identify a research gap is clearly visible due to the transparent and comprehensive analysis of the relationships between the variables, not only keywords. Second, the analysis of relationships between variables enables the creation of a story with an indication of the directions of relationships between variables. Demonstrating the advantage of the new approach over the classic one may be a significant step towards developing a new approach to the synthesis of literature and its reviews. Variable mapping seems to allow scientists to build clear and effective models presenting the scientific achievements of a chosen research area in one simple map. Additionally, the development of the software enabling the automation of the variable mapping process on large data sets may be a breakthrough change in the field of conducting literature research. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=bibliometrics" title="bibliometrics">bibliometrics</a>, <a href="https://publications.waset.org/abstracts/search?q=literature%20review" title=" literature review"> literature review</a>, <a href="https://publications.waset.org/abstracts/search?q=science%20mapping" title=" science mapping"> science mapping</a>, <a href="https://publications.waset.org/abstracts/search?q=variable%20mapping" title=" variable mapping"> variable mapping</a> </p> <a href="https://publications.waset.org/abstracts/150833/variable-mapping-from-bibliometrics-to-implications" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/150833.pdf" target="_blank" class="btn 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