Search Results

• 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

• 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

• 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

• pETNNs: Partial Evolutionary Tensor Neural Networks for Solving Time-Dependent Partial Differential Equations

  Tunan Kao, He Zhang, Lei Zhang, Jin Zhao

  2025-09-30

  9275 140 Pages:862-891

• 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

• 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

• 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

• Theory of the Frequency Principle for General Deep Neural Networks

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

  2021-08-31

  44541 3626 Pages:484-507

• Solving the Inverse Potential Problem in the Parabolic Equation by the Deep Neural Networks Method

  Mengmeng Zhang, Zhidong Zhang

  2024-11-29

  12978 1199 Pages:852-883

• 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

• 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

• 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

• Enforcing Exact Boundary and Initial Conditions in the Deep Mixed Residual Method

  Liyao Lyu, Keke Wu, Rui Du, Jingrun Chen

  2021-11-29

  40648 3379 Pages:748-775

• 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

• Non-Lipschitz Attack: A More Sparse Adversarial Attack via Non-Lipschitz $ℓ_p$ Regularization

  Xuan Lin, Haidong Xie, Chunlin Wu, Xueshuang Xiang

  2023-10-26

  29011 2561 Pages:797-819

• 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

• Hartley Spectral Pooling for Deep Learning

  Hao Zhang, Jianwei Ma

  2020-09-25

  41462 3710 Pages:518-529

• Failure-Informed Adaptive Sampling for PINNs, Part III: Applications to Inverse Problems

  Wenbin Liu, Liang Yan, Tao Zhou, Yuancheng Zhou

  2024-08-02

  22989 1653 Pages:636-670

• Model Meets Deep Learning in Image Inverse Problems

  Na Wang, Jian Sun

  2020-09-25

  44091 4031 Pages:365-386