We propose new hybrid Lagrange neural networks called LaNets to predict the numerical solutions of partial differential *** is,we embed Lagrange interpolation and small sample learning into deep neural network ***,we ...
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We propose new hybrid Lagrange neural networks called LaNets to predict the numerical solutions of partial differential *** is,we embed Lagrange interpolation and small sample learning into deep neural network ***,we first perform Lagrange interpolation in front of the deep feedforward neural *** Lagrange basis function has a neat structure and a strong expression ability,which is suitable to be a preprocessing tool for pre-fitting and feature ***,we introduce small sample learning into training,which is beneficial to guide themodel to be corrected *** advantages of the theoretical support of traditional numerical method and the efficient allocation of modern machine learning,LaNets achieve higher predictive accuracy compared to the *** stability and accuracy of the proposed algorithmare demonstrated through a series of classical numerical examples,including one-dimensional Burgers equation,onedimensional carburizing diffusion equations,two-dimensional Helmholtz equation and two-dimensional Burgers *** results validate the robustness,effectiveness and flexibility of the proposed algorithm.
Database watermarking technologies provide an effective solution to data security problems by embedding the watermark in the database to prove copyright or trace the source of data ***,when the watermarked database is...
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Database watermarking technologies provide an effective solution to data security problems by embedding the watermark in the database to prove copyright or trace the source of data ***,when the watermarked database is used for data mining model building,such as decision trees,it may cause a different mining result in comparison with the result from the original database caused by the distortion of watermark *** watermarking algorithms mainly consider the statistical distortion of data,such as the mean square error,but very few consider the effect of the watermark on database ***,in this paper,a consistency preserving database watermarking algorithm is proposed for decision ***,label classification statistics and label state transfer methods are proposed to adjust the watermarked data so that the model structure of the watermarked decision tree is the same as that of the original decision ***,the splitting values of the decision tree are adjusted according to the defined constraint ***,the adjusted database can obtain a decision tree consistent with the original decision *** experimental results demonstrated that the proposed algorithm does not corrupt the watermarks,and makes the watermarked decision tree consistent with the original decision tree with a small distortion.
A combination of their ability to adapt to a broad spectrum of applications and their ability for self-organization, mobile ad hoc networks, or MANETs, have attracted much interest. However, the fundamental characteri...
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A critical component of video surveillance research and real-world applications is the detection of anomalous events. In order to improve public safety, more and more surveillance cameras are being installed in public...
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This paper mainly discusses two kinds of coupled reaction-diffusion neural networks (CRNN) under topology attacks, that is, the cases with multistate couplings and with multiple spatial-diffusion couplings. On one han...
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A lot of studies have been conducted for enhancing load accuracy in order to derive decisions about usage of electricity in buildings. In order to accurately predict electricity demand in real time, deep learning mode...
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Periodic leg movements (PLM) and bruxism are prevalent sleep disorders that significantly impact sleep quality and overall health. Accurate and timely detection of these disorders is pivotal for effective treatment an...
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Most of the times we have to test out the entire application functionality, for any code modification done to cater the need of the larger audiences or any bug fixes. This results to consumption of time and the effort...
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This innovative practice full paper describes an innovative pedagogical framework that integrates community engaged learning and social justice principles into a traditional web development course, fostering a holisti...
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Applications utilizing the Internet of Things (IoT) operate on a platform that works efficiently and has capabilities of handling vast volumes of data processing. The type of application will determine if this platfor...
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