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

  23866 1689 Pages:448-514

• Understanding the Initial Condensation of Convolutional Neural Networks

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

  2025-05-29

  8533 618 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

  43953 3849 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

  19526 542 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

  41142 3506 Pages:532-550

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

  Yuqing Li, Tao Luo, Nung Kwan Yip

  2022-11-07

  293310 3110 Pages:692-760

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

  Fengmiao Bian, Ren Liu, Xiaoqun Zhang

  2026-04-11

  29 19

• 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

  35439 3289 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

  44807 3700 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

  13215 1274 Pages:852-883

• 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

  1079 186 Pages:29-61

• 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

  295288 3153 Pages:761-791

• 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

  21530 1934 Pages:350-389

• 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

  292896 3024 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

  40873 3466 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

  50416 4551 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

  40069 3200 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

  29245 2616 Pages:797-819

• Unsupervised Deep Learning Meets Chan-Vese Model

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

  2022-11-07

  295215 3145 Pages:662-691

• Model Meets Deep Learning in Image Inverse Problems

  Na Wang, Jian Sun

  2020-09-25

  44341 4161 Pages:365-386

• Tackling Challenge of Masked and Unmasked Face for Facial Recognition Through Dimensionality Reduction and Deep Learning

  Guy Mathias Gouaya, Emil Franc Doungmo Goufo, Amos Kubeka

  2026-03-01

  679 179 Pages:296-328

• Hartley Spectral Pooling for Deep Learning

  Hao Zhang, Jianwei Ma

  2020-09-25

  41692 3808 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

  23315 1743 Pages:636-670