Search Results

• MFPC-Net: Multi-Fidelity Physics-Constrained Neural Process

  Yating Wang, Guang Lin

  2020-12-31

  39725 3601 Pages:715-739

• Towards an Understanding of Residual Networks Using Neural Tangent Hierarchy (NTH)

  Yuqing Li, Tao Luo, Nung Kwan Yip

  2022-11-07

  293075 3027 Pages:692-760

• Understanding the Initial Condensation of Convolutional Neural Networks

  Zhangchen Zhou, Hanxu Zhou, Yuqing Li, Zhi-Qin John Xu

  2025-05-29

  8142 512 Pages:272-319

• Enhanced Expressive Power and Fast Training of Neural Networks by Random Projections

  Jian-Feng Cai, Dong Li, Jiaze Sun, Ke Wang

  2021-08-31

  40938 3433 Pages:532-550

• Phase Diagram of Initial Condensation for Two-Layer Neural Networks

  Zheng-An Chen, Yuqing Li, Tao Luo, Zhangchen Zhou, Zhi-Qin John Xu

  2024-08-02

  23557 1612 Pages:448-514

• On the Banach Spaces Associated with Multi-Layer ReLU Networks: Function Representation, Approximation Theory and Gradient Descent Dynamics

  Weinan E, Stephan Wojtowytsch

  2020-09-25

  43692 3771 Pages:387-440

• BINet: Learn to Solve Partial Differential Equations with Boundary Integral Networks

  Guochang Lin, Pipi Hu, Fukai Chen, Xiang Chen, Junqing Chen, Jun Wang, Zuoqiang Shi

  2023-02-14

  35186 3166 Pages:275-305

• Embedding Principle in Depth for the Loss Landscape Analysis of Deep Neural Networks

  Zhiwei Bai, Tao Luo, Zhi-Qin John Xu, Yaoyu Zhang

  2024-05-20

  21221 1862 Pages:350-389

• Towards a Mathematical Understanding of Neural Network-Based Machine Learning: What We Know and What We Don't

  Weinan E, Chao Ma, Lei Wu, Stephan Wojtowytsch

  2020-12-31

  50064 4453 Pages:561-615

• An $L^2$ Analysis of Reinforcement Learning in High Dimensions with Kernel and Neural Network Approximation

  Jihao Long, Jiequn Han, Weinan E

  2022-05-30

  39824 3122 Pages:191-220

• A Deep Learning Approach for Solving the Inverse Problem of the Wave Equation

  Xiong-Bin Yan, Keke Wu, Zhi-Qin John Xu, Zheng Ma

  2025-06-18

  261 26 Open-access

• Weyl Almost Periodic Solutions in Distribution of Clifford-Valued Stochastic High-Order Hopfield Neural Networks with Delays on Time Scales

  Yongkun Li, Xiaoli Huang

  2022-11-07

  292695 2946 Pages:810-840

• Deep Ritz Methods for Laplace Equations with Dirichlet Boundary Condition

  Chenguang Duan, Yuling Jiao, Yanming Lai, Xiliang Lu, Qimeng Quan, Jerry Zhijian Yang

  2022-11-07

  295101 3011 Pages:761-791

• Unsupervised Deep Learning Meets Chan-Vese Model

  Dihan Zheng, Chenglong Bao, Zuoqiang Shi, Haibin Ling, Kaisheng Ma

  2022-11-07

  294998 3086 Pages:662-691

• Implicit Bias in Understanding Deep Learning for Solving PDEs Beyond Ritz-Galerkin Method

  Jihong Wang, Zhi-Qin John Xu, Jiwei Zhang, Yaoyu Zhang

  2022-05-30

  38201 3221 Pages:299-317

• Hartley Spectral Pooling for Deep Learning

  Hao Zhang, Jianwei Ma

  2020-09-25

  41462 3710 Pages:518-529

• A Label-Free Hybrid Iterative Numerical Transferable Solver for Partial Differential Equations

  Xinyi Wang, Jingrun Chen, Rui Du

  2024-11-29

  14393 1150 Pages:712-734