Search Results

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

  Qingguang Guan

  2024-10-08

  13026 1009 Pages:674-696

• Numerical Approximations of the Allen-Cahn-Ohta-Kawasaki Equation with Modified Physics-Informed Neural Networks (PINNs)

  Jingjing Xu, Jia Zhao, Yanxiang Zhao

  2023-09-19

  25058 2204 Pages:693-708

• A Deep Learning Galerkin Method for the Second-Order Linear Elliptic Equations

  ​Jian Li, Wen Zhang, Jing Yue

  2021-05-25

  42788 2661 Pages:427-441

• An Asymptotic Expansion-Based Deep Neural Network for Solving Singularly Perturbed Problems with Exponential Boundary Layers

  Shuiqian Xu, Jiangxing Wang, Yiduo Zhang, Xiaofeng Yang

  2025-12-28

  961 112 Pages:163-183

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

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

  2024-10-08

  12936 1031 Pages:652-673

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

  Zezhong Zhang, Feng Bao, Guannan Zhang

  2024-10-08

  12877 1085 Pages:739-763

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

  Zheng Chen, Seulip Lee, Lin Mu

  2024-10-08

  13372 1043 Pages:629-651

• From Obstacle Problems to Neural Insights: Feedforward Neural Network Modeling of Ice Thickness

  Kapil Chawla, William Holmes, Roger Temam

  2024-11-22

  13553 1315 Pages:1-20

• 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

  2024-10-08

  13293 1113 Pages:764-792

• Parametric Model Reduction with Convolutional Neural Networks

  Yumeng Wang, Shiping Zhou, Yanzhi Zhang

  2024-10-08

  13073 1098 Pages:716-738