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  • 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
    431 93 Pages:603-622
  • Continuous-Variable Deep Quantum Neural Networks for Flexible Learning of Structured Classical Information

    Jasvith Raj Basani, Aranya Bhattacherjee
    2021-08-10
    46112 2967 Pages:1216-1231
  • Enforcing Imprecise Constraints on Generative Adversarial Networks for Emulating Physical Systems

    Yang Zeng, Jin-Long Wu, Heng Xiao
    2021-07-01
    49181 3239 Pages:635-665
  • 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
    155 138 Pages:200-220
  • MHDnet: Physics-Preserving Learning for Solving Magnetohydrodynamics Problems

    Xiaofei Guan, Boya Hu, Shipeng Mao, Xintong Wang, Zihao Yang
    2024-10-29
    147 68 Pages:943-976
  • Butterfly-Net: Optimal Function Representation Based on Convolutional Neural Networks

    Yingzhou Li, Xiuyuan Cheng, Jianfeng Lu
    2020-11-18
    63549 3432 Pages:1838-1885
  • Preface

    2020-11-18
    119 47 Pages:i-i
  • 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
    200 48 Pages:1307-1338
  • 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
    66513 6097 Pages:625-650 Open-access
  • Approximating Numerical Fluxes Using Fourier Neural Operators for Hyperbolic Conservation Laws

    Taeyoung Kim, Myungjoo Kang
    2025-09-02
    204 76 Pages:420-456
  • 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
    31686 2665 Pages:1133-1176
  • 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
    34022 2764 Pages:392-417
  • Generalization Error in the Deep Ritz Method with Smooth Activation Functions

    Janne Siipola
    2024-04-10
    24120 2222 Pages:761-815 Open-access
  • Investigating and Mitigating Failure Modes in Physics-Informed Neural Networks (PINNs)

    Shamsulhaq Basir
    2023-06-06
    41484 2933 Pages:1240-1269
  • 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
  • Language Change and Social Networks

    Jinyun Ke, Tao Gong & William S-Y Wang
    2008-03-01
    40490 4158 Pages:935-949
  • 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
    47116 3336 Pages:1453-1473
  • Neural Networks with Local Converging Inputs (NNLCI) for Solving Conservation Laws, Part II: 2D Problems

    Haoxiang Huang, Vigor Yang, Yingjie Liu
    2023-11-08
    76945 3630 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
    35379 2818 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
    40372 2813 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
    39267 2837 Pages:1409-1431
  • Generalization Error Analysis of Neural Networks with Gradient Based Regularization

    Lingfeng Li, Xue-Cheng Tai, Jiang Yang
    2022-10-28
    45537 3242 Pages:1007-1038
  • Deep Unfitted Nitsche Method for Elliptic Interface Problems

    Hailong Guo, Xu Yang
    2022-03-30
    52499 3243 Pages:1162-1179
  • VAE-KRnet and Its Applications to Variational Bayes

    Xiaoliang Wan, Shuangqing Wei
    2022-03-30
    52156 3201 Pages:1049-1082
  • Convergence Rate Analysis for Deep Ritz Method

    Chenguang Duan, Yuling Jiao, Yanming Lai, Dingwei Li, Xiliang Lu, Jerry Zhijian Yang
    2022-03-30
    58803 3318 Pages:1020-1048
  • Incorporating the Maximum Entropy on the Mean Framework with Kernel Error for Robust Non-Blind Image Deblurring

    Hok Shing Wong, Hao Zhang, Lihua Li, Tieyong Zeng, Yingying Fang
    2022-03-03
    44570 3253 Pages:893-912
  • VPVnet: A Velocity-Pressure-Vorticity Neural Network Method for the Stokes’ Equations under Reduced Regularity

    Yujie Liu, Chao Yang
    2022-03-03
    45431 3205 Pages:739-770
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