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• Error Analysis for Empirical Risk Minimization over Clipped ReLU Networks in Solving Linear Kolmogorov Partial Differential Equations

  Jichang Xiao, Xiaoqun Wang

  2024-12-11

  11842 1307 Pages:996-1017

• Error Analysis of the Deep Mixed Residual Method for High-Order Elliptic Equations

  Mengjia Bai, Jingrun Chen, Rui Du, Zhiwei Sun

  2025-05-16

  7274 501 Pages:395-436

• Analysis of Deep Ritz Methods for Semilinear Elliptic Equations

  Mo Chen, Yuling Jiao, Xiliang Lu, Pengcheng Song, Fengru Wang, Jerry Zhijian Yang

  2024-02-26

  23641 2256 Pages:181-209

• Quasi-Monte Carlo Sampling for Solving Partial Differential Equations by Deep Neural Networks

  Jingrun Chen, Rui Du, Panchi Li, Liyao Lyu

  2021-01-26

  46270 2717 Pages:377-404