Search Results

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

  Yating Wang, Guang Lin

  2020-12-31

  39958 3703 Pages:715-739

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

  Yuqing Li, Tao Luo, Nung Kwan Yip

  2022-11-07

  293313 3112 Pages:692-760

• Understanding the Initial Condensation of Convolutional Neural Networks

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

  2025-05-29

  8538 620 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

  41145 3508 Pages:532-550

• A Neural Network Framework for High-Dimensional Dynamic Unbalanced Optimal Transport

  Wei Wan, Jiangong Pan, Yuejin Zhang, Chenglong Bao, Zuoqiang Shi

  2026-01-05

  270 87

• 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

  23874 1693 Pages:448-514

• 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

  35442 3289 Pages:275-305

• 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

  43955 3851 Pages:387-440

• 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

  21534 1935 Pages:350-389

• A Stochastic Three-Block Alternating Minimization Algorithm and Its Application to Quantized Deep Neural Networks

  Fengmiao Bian, Ren Liu, Xiaoqun Zhang

  2026-04-11

  32 20

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

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

  2026-01-25

  1088 192 Pages:29-61

• 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

  50419 4554 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

  40073 3203 Pages:191-220

• 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

  292898 3027 Pages:810-840

• Unsupervised Deep Learning Meets Chan-Vese Model

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

  2022-11-07

  295218 3147 Pages:662-691

• 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

  295289 3157 Pages:761-791

• Hartley Spectral Pooling for Deep Learning

  Hao Zhang, Jianwei Ma

  2020-09-25

  41695 3809 Pages:518-529

• 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

  38443 3287 Pages:299-317

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

  Xinyi Wang, Jingrun Chen, Rui Du

  2024-11-29

  14656 1256 Pages:712-734