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  • 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
  • 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
  • Deep Network Approximation Characterized by Number of Neurons

    Zuowei Shen, Haizhao Yang, Shijun Zhang
    2020-11-18
    68719 3581 Pages:1768-1811
  • Ensemble Gradient for Learning Turbulence Models from Indirect Observations

    Carlos A. Michelén Ströfer, Xin-Lei Zhang, Heng Xiao
    2021-10-26
    80569 3686 Pages:1269-1289
  • 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
  • Dirichlet-Neumann Learning Algorithm for Solving Elliptic Interface Problems

    Qi Sun, Xuejun Xu, Haotian Yi
    2025-07-11
    5086 463 Pages:248-284
  • Numerical Solution of the Incompressible Navier-Stokes Equation by a Deep Branching Algorithm

    Jiang Yu Nguwi, Guillaume Penent, Nicolas Privault
    2023-09-04
    33381 2823 Pages:261-289
  • Nonlinear Reduced DNN Models for State Estimation

    Wolfgang Dahmen, Min Wang, Zhu Wang
    2022-07-06
    42748 3674 Pages:1-40
  • Deep Potential: A General Representation of a Many-Body Potential Energy Surface

    Jiequn Han, Linfeng Zhang, Roberto Car & Weinan E
    2018-08-21
    94494 6411 Pages:629-639 Open-access
  • A Deep Spatio-Temporal Forecasting Model for Multi-Site Weather Prediction Post-Processing

    Wenjia Kong, Haochen Li, Chen Yu, Jiangjiang Xia, Yanyan Kang, Pingwen Zhang
    2021-12-06
    53419 4553 Pages:131-153
  • Dying ReLU and Initialization: Theory and Numerical Examples

    Lu Lu, Yeonjong Shin, Yanhui Su, George Em Karniadakis
    2020-11-18
    84943 3844 Pages:1671-1706
  • 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
  • Convergence Analysis of PINNs with Over-Parameterization

    Mo Chen, Zhao Ding, Yuling Jiao, Xiliang Lu, Peiying Wu, Jerry Zhijian Yang
    2025-04-27
    237 58 Pages:942-974
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