Search Results

• 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

  43957 3853 Pages:387-440

• 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

  23878 1696 Pages:448-514

• 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 3511 Pages:532-550

• Understanding the Initial Condensation of Convolutional Neural Networks

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

  2025-05-29

  8538 624 Pages:272-319

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

  Yuqing Li, Tao Luo, Nung Kwan Yip

  2022-11-07

  293315 3114 Pages:692-760

• 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

  35445 3291 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

  21535 1942 Pages:350-389

• 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 3207 Pages:191-220

• 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

  50421 4558 Pages:561-615