Search Results

• VAE-KRnet and Its Applications to Variational Bayes

  Xiaoliang Wan, Shuangqing Wei

  2022-03-30

  52394 3287 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

  59117 3462 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

  44774 3321 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

  45629 3277 Pages:739-770

• 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

  26439 2329 Pages:467-497

• Deep Nitsche Method: Deep Ritz Method with Essential Boundary Conditions

  Yulei Liao, Pingbing Ming

  2021-03-24

  53501 3565 Pages:1365-1384

• Cholesky-Based Experimental Design for Gaussian Process and Kernel-Based Emulation and Calibration

  Helumt Harbrecht, John D. Jakeman, Peter Zaspel

  2021-02-25

  46066 3220 Pages:1152-1185

• Multi-Scale Deep Neural Network (MscaleDNN) Methods for Oscillatory Stokes Flows in Complex Domains

  Bo Wang, Wenzhong Zhang, Wei Cai

  2020-11-18

  64576 3363 Pages:2139-2157

• 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

  64587 3389 Pages:2109-2138

• 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

  89565 4614 Pages:2042-2074

• 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

  74201 3754 Pages:1970-2001

• High-Dimensional Nonlinear Multi-Fidelity Model with Gradient-Free Active Subspace Method

  Bangde Liu, Guang Lin

  2020-11-18

  62704 3396 Pages:1937-1969

• Frequency Principle: Fourier Analysis Sheds Light on Deep Neural Networks

  Zhi-Qin John Xu, Yaoyu Zhang, Tao Luo, Yanyang Xiao, Zheng Ma

  2020-11-18

  86804 4378 Pages:1746-1767

• Accelerated Molecular Statics Based on Atomic Inertia Effect

  Fei Shuang, Pan Xiao, Yilong Bai, Fujiu Ke

  2020-07-21

  47842 3251 Pages:1019-1037

• Physics-Constrained, Data-Driven Discovery of Coarse-Grained Dynamics

  Lukas Felsberger, Phaedon-Stelios Koutsourelakis

  2019-01-10

  48763 5411 Pages:1259-1301

• Model Reduction with Memory and the Machine Learning of Dynamical Systems

  Chao Ma, Jianchun Wang, Weinan E

  2018-12-08

  59477 5373 Pages:947-962 Open-access

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

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

  2018-08-21

  95388 6694 Pages:629-639 Open-access

• Thermal Response Variability of Random Polycrystalline Microstructures

  Bin Wen, Zheng Li, Nicholas Zabaras

  2011-10-01

  39085 3996 Pages:607-634

• 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

  53751 4722 Pages:131-153

• A Neural Particle Method with Interface Tracking and Adaptive Particle Refinement for Free Surface Flows

  Pei-Hsin Pai, Heng-Chuan Kan, Hock-Kiet Wong, Yih-Chin Tai

  2024-10-29

  17866 1218 Pages:1021-1052

• Time Integration Schemes Based on Neural Networks for Solving Partial Differential Equations on Coarse Grids

  Xinxin Yan, Zhideng Zhou, Xiaohan Cheng, Xiaolei Yang

  2024-12-02

  15998 1216 Pages:1262-1306

• A Lightweight Data-Driven Model Enhanced Discontinuous Galerkin Method for Rapidly Simulating Transonic Airfoil Flowfields

  Lili Lv, Yiwei Feng, Weixiong Yuan, Liang Xu, Tiegang Liu

  2025-09-05

  4062 402 Pages:1053-1088

• Integral Regularization PINNs for Evolution Equations

  Xiaodong Feng, Haojiong Shangguan, Tao Tang, Xiaoliang Wan

  2026-02-15

  4126 195 Pages:356-386

• Weak Minimization-Sampling Network for Solving PDEs

  Zhenqian E, Weiguo Gao

  2026-01-03

  1940 120 Pages:696-712

• Neural-Network-Augmented Empirical Interpolation Method for Field Reconstruction with Noise and Vibration Tolerance

  Han Li, Helin Gong, Chuanju Xu

  2026-01-03

  1929 82 Pages:855-883

• 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

  777 109 Pages:1231-1266

• Scale-Decomposed Physics-Informed Neural Networks for Singular Perturbation Problems

  Lei Zhang, Guowei He

  2026-01-18

  1056 238 Pages:1267-1298