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  • Loss Jump During Loss Switch in Solving PDEs with Neural Networks

    Zhiwei Wang, Lulu Zhang, Zhongwang Zhang, Zhi-Qin John Xu
    2024-10-29
    146 60 Pages:1090-1112
  • A Correction and Comments on “Multi-Scale Deep Neural Network (MscaleDNN) for Solving Poisson-Boltzmann Equation in Complex Domains CiCP, 28 (5): 1970–2001, 2020”

    Lulu Zhang, Wei Cai, Zhi-Qin John Xu
    2023-06-06
    40372 2813 Pages:1509-1513
  • MOD-Net: A Machine Learning Approach via Model-Operator-Data Network for Solving PDEs

    Lulu Zhang, Tao Luo, Yaoyu Zhang, Weinan E, Zhi-Qin John Xu, Zheng Ma
    2022-08-11
    306975 3553 Pages:299-335
  • Multi-Scale Deep Neural Network (MscaleDNN) for Solving Poisson-Boltzmann Equation in Complex Domains

    Ziqi Liu, Wei Cai, Zhi-Qin John Xu
    2020-11-18
    73632 3621 Pages:1970-2001
  • A Multi-Scale DNN Algorithm for Nonlinear Elliptic Equations with Multiple Scales

    Xi-An Li, Zhi-Qin John Xu, Lei Zhang
    2020-11-18
    67104 3635 Pages:1886-1906
  • Frequency Principle: Fourier Analysis Sheds Light on Deep Neural Networks

    Zhi-Qin John Xu, Yaoyu Zhang, Tao Luo, Yanyang Xiao, Zheng Ma
    2020-11-18
    85482 4069 Pages:1746-1767
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