Search Results

• Asymptotic-Preserving Neural Networks for Multiscale Kinetic Equations

  Shi Jin, Zheng Ma, Keke Wu

  2024-04-10

  DOI:10.4208/cicp.OA-2023-0211

  25513 2191 pp. 693-723

• Structured First-Layer Initialization Pre-Training Techniques to Accelerate Training Process Based on $\varepsilon$-Rank

  Tao Tang, Jiang Yang, Yuxiang Zhao, Quanhui Zhu

  2026-03-16

  DOI:10.4208/cicp.OA-2025-0185

  416 35 pp. 61-87

• An Augmented Lagrangian Deep Learning Method for Variational Problems with Essential Boundary Conditions

  Jianguo Huang, Haoqin Wang, Tao Zhou

  2022-03-03

  DOI:10.4208/cicp.OA-2021-0176

  50710 3358 pp. 966-986

• Solving Multi-Group Neutron Diffusion Eigenvalue Problem with Decoupling Residual Loss Function

  Shupei Yu, Qiaolin He, Shiquan Zhang, Qihong Yang, Yu Yang, Helin Gong

  2026-01-18

  DOI:10.4208/cicp.OA-2024-0176

  777 109 pp. 1231-1266

• 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

  DOI:10.4208/cicp.OA-2023-0072

  24682 1885 pp. 200-220

• Continuous-Variable Deep Quantum Neural Networks for Flexible Learning of Structured Classical Information

  Jasvith Raj Basani, Aranya Bhattacherjee

  2021-08-10

  DOI:10.4208/cicp.OA-2020-0173

  46297 3033 pp. 1216-1231

• Deep Network Approximation Characterized by Number of Neurons

  Zuowei Shen, Haizhao Yang, Shijun Zhang

  2020-11-18

  DOI:10.4208/cicp.OA-2020-0149

  69204 3704 pp. 1768-1811

• Ensemble Gradient for Learning Turbulence Models from Indirect Observations

  Carlos A. Michelén Ströfer, Xin-Lei Zhang, Heng Xiao

  2021-10-26

  DOI:10.4208/cicp.OA-2021-0082

  80767 3742 pp. 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

  DOI:10.4208/cicp.OA-2020-0187

  67430 3706 pp. 1886-1906

• Dirichlet-Neumann Learning Algorithm for Solving Elliptic Interface Problems

  Qi Sun, Xuejun Xu, Haotian Yi

  2025-07-11

  DOI:10.4208/cicp.OA-2024-0046

  5425 679 pp. 248-284

• Nonlinear Reduced DNN Models for State Estimation

  Wolfgang Dahmen, Min Wang, Zhu Wang

  2022-07-06

  DOI:10.4208/cicp.OA-2021-0217

  42942 3772 pp. 1-40

• Numerical Solution of the Incompressible Navier-Stokes Equation by a Deep Branching Algorithm

  Jiang Yu Nguwi, Guillaume Penent, Nicolas Privault

  2023-09-04

  DOI:10.4208/cicp.OA-2022-0140

  33606 2905 pp. 261-289

• 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

  DOI:10.4208/cicp.OA-2020-0158

  53751 4722 pp. 131-153

• Deep Potential: A General Representation of a Many-Body Potential Energy Surface

  Jiequn Han, Linfeng Zhang, Roberto Car, E. Weinan

  2018-08-21

  DOI:10.4208/cicp.OA-2017-0213

  95388 6694 pp. 629-639 Open Access

• Dying ReLU and Initialization: Theory and Numerical Examples

  Lu Lu, Yeonjong Shin, Yanhui Su, George Em Karniadakis

  2020-11-18

  DOI:10.4208/cicp.OA-2020-0165

  86180 4199 pp. 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

  DOI:10.4208/cicp.OA-2023-0152

  40599 2876 pp. 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

  DOI:10.4208/cicp.OA-2023-0101

  9335 581 pp. 942-974