Search Results

• Multi-Scale Deep Neural Network (MscaleDNN) for Solving Poisson-Boltzmann Equation in Complex Domains

  Ziqi Liu, Wei Cai, Zhi-Qin John Xu

  2020-11-18

  https://doi.org/10.4208/cicp.OA-2020-0179

  73632 3621 pp. 1970-2001

• 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

  https://doi.org/10.4208/cicp.OA-2021-0257

  306975 3553 pp. 299-335

• 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

  https://doi.org/10.4208/cicp.OA-2020-0182

  47116 3336 pp. 1453-1473

• Preface

  2020-11-18

  119 47 pp. i-i

• 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

  https://doi.org/10.4208/cicp.OA-2023-0075

  31686 2665 pp. 1133-1176

• 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

  https://doi.org/10.4208/cicp.OA-2023-0152

  40372 2813 pp. 1509-1513

• Frame Invariance and Scalability of Neural Operators for Partial Differential Equations

  Muhammad I. Zafar, Jiequn Han, Xu-Hui Zhou, Heng Xiao

  2022-08-11

  https://doi.org/10.4208/cicp.OA-2021-0256

  303702 3397 pp. 336-363

• VAE-KRnet and Its Applications to Variational Bayes

  Xiaoliang Wan, Shuangqing Wei

  2022-03-30

  https://doi.org/10.4208/cicp.OA-2021-0087

  52156 3201 pp. 1049-1082

• Numerical Simulations for Full History Recursive Multilevel Picard Approximations for Systems of High-Dimensional Partial Differential Equations

  Sebastian Becker, Ramon Braunwarth, Martin Hutzenthaler, Arnulf Jentzen, Philippe von Wurstemberger

  2020-11-18

  https://doi.org/10.4208/cicp.OA-2020-0130

  64226 3325 pp. 2109-2138

• Fast MRI Reconstruction via Edge Attention

  Hanhui Yang, Juncheng Li, Lok Ming Lui, Shihui Ying, Jun Shi, Tieyong Zeng

  2023-06-06

  https://doi.org/10.4208/cicp.OA-2022-0309

  39267 2837 pp. 1409-1431

• On the Convergence of Physics Informed Neural Networks for Linear Second-Order Elliptic and Parabolic Type PDEs

  Yeonjong Shin, Jérôme Darbon, George Em Karniadakis

  2020-11-18

  https://doi.org/10.4208/cicp.OA-2020-0193

  88478 4440 pp. 2042-2074

• Integral Regularization PINNs for Evolution Equations

  Xiaodong Feng, Haojiong Shangguan, Tao Tang, Xiaoliang Wan

  2025-11-28

  https://doi.org/10.4208/cicp.OA-2025-0082

  919 31 pp. 356-386

• Variational Low-Light Image Enhancement Based on Fractional-Order Differential

  Qianting Ma, Yang Wang, Tieyong Zeng

  2024-01-31

  https://doi.org/10.4208/cicp.OA-2022-0197

  28648 2620 pp. 139-159

• A Conservative and Positivity-Preserving Method for Solving Anisotropic Diffusion Equations with Deep Learning

  Hui Xie, Li Liu, Chuanlei Zhai, Xuejun Xu, Heng Yong

  2024-03-13

  https://doi.org/10.4208/cicp.OA-2023-0180

  26134 2223 pp. 467-497

• 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

  https://doi.org/10.4208/cicp.OA-2021-0136

  44570 3253 pp. 893-912