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

  DOI:10.4208/aam.OA-2023-0027

  24896 2843 pp. 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

  DOI:10.4208/aam.OA-2024-0023

  6293 924 pp. 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

  DOI:10.4208/aam.OA-2023-0021

  30388 2856 pp. 239-263

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

  Tao Luo, Qixuan Zhou

  2026-01-21

  DOI:10.4208/aam.OA-2025-0028

  441 139 pp. 313-376