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CSIAM Transactions on Applied Mathematics
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  • MFPC-Net: Multi-Fidelity Physics-Constrained Neural Process

    Yating Wang, Guang Lin
    2020-12-31
    39725 3601 Pages:715-739
  • Towards an Understanding of Residual Networks Using Neural Tangent Hierarchy (NTH)

    Yuqing Li, Tao Luo, Nung Kwan Yip
    2022-11-07
    293075 3027 Pages:692-760
  • Embedding Principle in Depth for the Loss Landscape Analysis of Deep Neural Networks

    Zhiwei Bai, Tao Luo, Zhi-Qin John Xu, Yaoyu Zhang
    2024-05-20
    21221 1862 Pages:350-389
  • Enhanced Expressive Power and Fast Training of Neural Networks by Random Projections

    Jian-Feng Cai, Dong Li, Jiaze Sun, Ke Wang
    2021-08-31
    40938 3433 Pages:532-550
  • Phase Diagram of Initial Condensation for Two-Layer Neural Networks

    Zheng-An Chen, Yuqing Li, Tao Luo, Zhangchen Zhou, Zhi-Qin John Xu
    2024-08-02
    23557 1612 Pages:448-514
  • Deep Ritz Methods for Laplace Equations with Dirichlet Boundary Condition

    Chenguang Duan, Yuling Jiao, Yanming Lai, Xiliang Lu, Qimeng Quan, Jerry Zhijian Yang
    2022-11-07
    295101 3011 Pages:761-791
  • On the Banach Spaces Associated with Multi-Layer ReLU Networks: Function Representation, Approximation Theory and Gradient Descent Dynamics

    Weinan E, Stephan Wojtowytsch
    2020-09-25
    43692 3771 Pages:387-440
  • A Deep Learning Approach for Solving the Inverse Problem of the Wave Equation

    Xiong-Bin Yan, Keke Wu, Zhi-Qin John Xu, Zheng Ma
    2025-06-18
    261 26 Open-access
  • Unsupervised Deep Learning Meets Chan-Vese Model

    Dihan Zheng, Chenglong Bao, Zuoqiang Shi, Haibin Ling, Kaisheng Ma
    2022-11-07
    294998 3086 Pages:662-691
  • Implicit Bias in Understanding Deep Learning for Solving PDEs Beyond Ritz-Galerkin Method

    Jihong Wang, Zhi-Qin John Xu, Jiwei Zhang, Yaoyu Zhang
    2022-05-30
    38201 3221 Pages:299-317
  • Hartley Spectral Pooling for Deep Learning

    Hao Zhang, Jianwei Ma
    2020-09-25
    41462 3710 Pages:518-529
  • A Label-Free Hybrid Iterative Numerical Transferable Solver for Partial Differential Equations

    Xinyi Wang, Jingrun Chen, Rui Du
    2024-11-29
    14393 1150 Pages:712-734
1 - 12 of 12 items
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