Search Results

• Connections Between Operator-Splitting Methods and Deep Neural Networks with Applications in Image Segmentation

  Hao Liu, Xue-Cheng Tai, Raymond Chan

  2023-11-06

  24896 2843 Pages:406-428 Open-access

• Deep Neural Network Approaches for Computing the Defocusing Action Ground State of Nonlinear Schrödinger Equation

  Zhipeng Chang, Zhenye Wen, Xiaofei Zhao

  2025-04-15

  6293 924 Pages:42-76

• Improved Analysis of PINNs: Alleviate the CoD for Compositional Solutions

  Yuling Jiao, Xiliang Lu, Jerry Zhijian Yang, Cheng Yuan, Pingwen Zhang

  2023-09-15

  30388 2856 Pages:239-263

• On Residual Minimization for PDEs: Failure of PINN, Modified Equation, and Implicit Bias

  Tao Luo, Qixuan Zhou

  2026-01-21

  441 139 Pages:313-376