Search Results

• Bridging Traditional and Machine Learning-Based Algorithms for Solving PDEs: The Random Feature Method

  Jingrun Chen, Xurong Chi, Weinan E, Zhouwang Yang

  2022-09-22

  47392 4907 Pages:268-298 Open-access

• Stochastic Delay Differential Games: Financial Modeling and Machine Learning Algorithms

  Robert Balkin, Hector D. Ceniceros, Ruimeng Hu

  2024-03-21

  26248 2832 Pages:23-63 Open-access

• A Brief Survey on the Approximation Theory for Sequence Modelling

  Haotian Jiang, Qianxiao Li, Zhong Li, Shida Wang

  2024-03-21

  67351 5354 Pages:1-30 Open-access

• Progressive Optimal Path Sampling for Closed-Loop Optimal Control Design with Deep Neural Networks

  Xuanxi Zhang, Jihao Long, Wei Hu, Weinan E, Jiequn Han

  2025-10-31

  24413 191 Pages:223-263

• Spectral Neural Networks: Approximation Theory and Optimization Landscape

  Chenghui Li, Rishi Sonthalia, Nicolás García Trillos

  2026-01-06

  123 206

• Variational Formulations of ODE-Net as a Mean-Field Optimal Control Problem and Existence Results

  Noboru Isobe, Mizuho Okumura

  2024-11-07

  17828 2123 Pages:413-444 Open-access

• DeePN$^2$: A Deep Learning-Based Non-Newtonian Hydrodynamic Model

  Lidong Fang, Pei Ge, Lei Zhang, Weinan E, Huan Lei

  2024-03-21

  81852 5616 Pages:114-140 Open-access

• Convergence Analysis of Discrete Diffusion Model: Exact Implementation Through Uniformization

  Hongrui Chen, Lexing Ying

  2025-06-03

  8596 902 Pages:108-127 Open-access

• Fast Gradient Computation for Gromov-Wasserstein Distance

  Wei Zhang, Zihao Wang, Jie Fan, Hao Wu, Yong Zhang

  2024-09-21

  19864 2358 Pages:282-299 Open-access

• Embedding Inequalities for Barron-Type Spaces

  Lei Wu

  2023-12-28

  26259 3037 Pages:259-270 Open-access

• A Local Convergence Theory for the Stochastic Gradient Descent Method in Non-Convex Optimization with Non-Isolated Local Minima

  Taehee Ko, Xiantao Li

  2023-06-06

  26266 2620 Pages:138-160 Open-access