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  • Preface

    2020-11-18
    245 60 Pages:i-i
  • Butterfly-Net: Optimal Function Representation Based on Convolutional Neural Networks

    Yingzhou Li, Xiuyuan Cheng, Jianfeng Lu
    2020-11-18
    63722 3467 Pages:1838-1885
  • Data-Driven, Physics-Based Feature Extraction from Fluid Flow Fields Using Convolutional Neural Networks

    Carlos Michelén Ströfer, Jin-Long Wu, Heng Xiao & Eric Paterson
    2018-11-09
    66627 6161 Pages:625-650 Open-access
  • A Data-Driven Reconstruction for Unstructured Finite Volume Method on Multi-Dimensional Compressible Flows

    Jayeon Joo, Dongseok Kim, Hojun You, Chongam Kim
    2024-12-02
    15908 1151 Pages:1307-1338
  • Local Discontinuous Galerkin Method for Nonlinear BSPDEs of Neumann Boundary Conditions with Deep Backward Dynamic Programming Time-Marching

    Yixiang Dai, Yunzhang Li, Jing Zhang
    2026-01-18
    237 46 Pages:1299-1331
  • MHDnet: Physics-Preserving Learning for Solving Magnetohydrodynamics Problems

    Xiaofei Guan, Boya Hu, Shipeng Mao, Xintong Wang, Zihao Yang
    2024-10-29
    21671 1212 Pages:943-976
  • Enforcing Imprecise Constraints on Generative Adversarial Networks for Emulating Physical Systems

    Yang Zeng, Jin-Long Wu, Heng Xiao
    2021-07-01
    49302 3280 Pages:635-665
  • Continuous-Variable Deep Quantum Neural Networks for Flexible Learning of Structured Classical Information

    Jasvith Raj Basani, Aranya Bhattacherjee
    2021-08-10
    46210 2995 Pages:1216-1231
  • A Neural Network Approach to Sampling Based Learning Control for Quantum System with Uncertainty

    Jingshi Li, Song Chen, Yanzhao Cao, Zhao Sun
    2021-10-26
    47223 3360 Pages:1453-1473
  • AutoAMG($θ$): An Auto-Tuned AMG Method Based on Deep Learning for Strong Threshold

    Haifeng Zou, Xiaowen Xu, Chen-Song Zhang, Zeyao Mo
    2024-07-29
    24538 1767 Pages:200-220
  • Learning Invariant Representation of Multiscale Hyperelastic Constitutive Law from Sparse Experimental Data

    Rui He, Junzhi Cui, Zihao Yang, Jieqiong Zhang, Xiaofei Guan
    2023-09-04
    34150 2794 Pages:392-417
  • Learning PDEs from Data on Closed Surfaces with Sparse Optimization

    Zhengjie Sun, Leevan Ling, Ran Zhang
    2025-09-02
    11900 956 Pages:289-314
  • Approximating Numerical Fluxes Using Fourier Neural Operators for Hyperbolic Conservation Laws

    Taeyoung Kim, Myungjoo Kang
    2025-09-02
    12147 810 Pages:420-456
  • Adaptive Interface-PINNs (AdaI-PINNs): An Efficient Physics-Informed Neural Networks Framework for Interface Problems

    Sumanta Roy, Chandrasekhar Annavarapu, Pratanu Roy, Antareep Kumar Sarma
    2025-09-02
    10567 630 Pages:603-622
  • Investigating and Mitigating Failure Modes in Physics-Informed Neural Networks (PINNs)

    Shamsulhaq Basir
    2023-06-06
    41665 2977 Pages:1240-1269
  • Language Change and Social Networks

    Jinyun Ke, Tao Gong & William S-Y Wang
    2008-03-01
    40607 4184 Pages:935-949
  • Bi-Orthogonal fPINN: A Physics-Informed Neural Network Method for Solving Time-Dependent Stochastic Fractional PDEs

    Lei Ma, Rongxin Li, Fanhai Zeng, Ling Guo, George Em Karniadakis
    2023-11-08
    31843 2797 Pages:1133-1176
  • Generalization Error in the Deep Ritz Method with Smooth Activation Functions

    Janne Siipola
    2024-04-10
    24248 2315 Pages:761-815 Open-access
  • 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
    307095 3600 Pages:299-335
  • Variational Low-Light Image Enhancement Based on Fractional-Order Differential

    Qianting Ma, Yang Wang, Tieyong Zeng
    2024-01-31
    28779 2705 Pages:139-159
  • A Variational Neural Network Approach for Glacier Modelling with Nonlinear Rheology

    Tiangang Cui, Zhongjian Wang, Zhiwen Zhang
    2023-11-08
    30842 2583 Pages:934-954
  • Neural Networks with Local Converging Inputs (NNLCI) for Solving Conservation Laws, Part II: 2D Problems

    Haoxiang Huang, Vigor Yang, Yingjie Liu
    2023-11-08
    77084 3664 Pages:907-933
  • Neural Networks with Local Converging Inputs (NNLCI) for Solving Conservation Laws, Part I: 1D Problems

    Haoxiang Huang, Vigor Yang, Yingjie Liu
    2023-09-04
    35522 2848 Pages:290-317
  • 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
    40493 2845 Pages:1509-1513
  • Fast MRI Reconstruction via Edge Attention

    Hanhui Yang, Juncheng Li, Lok Ming Lui, Shihui Ying, Jun Shi, Tieyong Zeng
    2023-06-06
    39381 2862 Pages:1409-1431
  • Frame Invariance and Scalability of Neural Operators for Partial Differential Equations

    Muhammad I. Zafar, Jiequn Han, Xu-Hui Zhou, Heng Xiao
    2022-08-11
    303796 3475 Pages:336-363
  • Deep Unfitted Nitsche Method for Elliptic Interface Problems

    Hailong Guo, Xu Yang
    2022-03-30
    52625 3284 Pages:1162-1179
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