Articles

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• Least-Squares Neural Network (LSNN) Method for Linear Advection-Reaction Equation: Non-Constant Jumps

  Zhiqiang Cai, Junpyo Choi, Min Liu

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  13167 1066 Pages:609-628

• Automated Detection and Characterization of Singularities in Functions Using Neural Networks-From FFT Signals

  Zheng Chen, Seulip Lee, Lin Mu

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  13385 1047 Pages:629-651

• Deep Neural Network for Solving Differential Equations Motivated by Legendre-Galerkin Approximation

  Bryce Chudomelka, Youngjoon Hong, John Morgan, Hyunwoo Kim, Jinyoung Park

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  12946 1034 Pages:652-673

• How Can Deep Neural Networks Fail Even with Global Optima?

  Qingguang Guan

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  13038 1013 Pages:674-696

• Deep Surrogate Model for Learning Green’s Function Associated with Linear Reaction-Diffusion Operator

  Junqing Jia, Lili Ju, Xiaoping Zhang

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  13000 1073 Pages:697-715

• Parametric Model Reduction with Convolutional Neural Networks

  Yumeng Wang, Shiping Zhou, Yanzhi Zhang

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  13085 1103 Pages:716-738

• Improving the Expressive Power of Deep Neural Networks Through Integral Activation Transform

  Zezhong Zhang, Feng Bao, Guannan Zhang

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  12885 1088 Pages:739-763

• Choice of Interior Penalty Coefficient for Interior Penalty Discontinuous Galerkin Method for Biot’s System by Employing Machine Learning

  Sanghyun Lee, Teeratorn Kadeethum, Hamidreza M. Nick

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  13303 1118 Pages:764-792