Search Results

• Reinforcement Learning with Function Approximation: From Linear to Nonlinear

  Jihao Long, Jiequn Han

  2023-09-25

  DOI:10.4208/jml.230105

  56392 4889 pp. 161-193 Open Access

• 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

  DOI:10.4208/jml.220726

  47630 5047 pp. 268-298 Open Access

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

  Robert Balkin, Hector D. Ceniceros, Ruimeng Hu

  2024-03-21

  DOI:10.4208/jml.230713

  26367 2967 pp. 23-63 Open Access

• Reinforcement Learning Algorithm for Mixed Mean Field Control Games

  Andrea Angiuli, Nils Detering, Jean-Pierre Fouque, Mathieu Laurière, Jimin Lin

  2023-06-06

  DOI:10.4208/jml.220915

  32581 4210 pp. 108-137 Open Access

• A Note on Continuous-Time Online Learning

  Lexing Ying

  2025-03-12

  DOI:10.4208/jml.240605

  11308 1149 pp. 1-10 Open Access

• Interpolating Between BSDEs and PINNs: Deep Learning for Elliptic and Parabolic Boundary Value Problems

  Nikolas Nüsken, Lorenz Richter

  2024-03-21

  DOI:10.4208/jml.220416

  36341 4737 pp. 31-64 Open Access

• Deep Reinforcement Learning for Infinite Horizon Mean Field Problems in Continuous Spaces

  Andrea Angiuli, Jean-Pierre Fouque, Ruimeng Hu, Alan Raydan

  2025-03-12

  DOI:10.4208/jml.230919

  11637 1326 pp. 11-47 Open Access

• On the Existence of Global Minima and Convergence Analyses for Gradient Descent Methods in the Training of Deep Neural Networks

  Arnulf Jentzen, Adrian Riekert

  2022-07-06

  DOI:10.4208/jml.220114a

  41729 4351 pp. 141-246 Open Access

• A Brief Survey on the Approximation Theory for Sequence Modelling

  Haotian Jiang, Qianxiao Li, Zhong Li, Shida Wang

  2024-03-21

  DOI:10.4208/jml.221221

  67463 5427 pp. 1-30 Open Access

• RNN-Attention Based Deep Learning for Solving Inverse Boundary Problems in Nonlinear Marshak Waves

  Di Zhao, Weiming Li, Wengu Chen, Peng Song, Han Wang

  2023-06-06

  DOI:10.4208/jml.221209

  33080 4333 pp. 83-107 Open Access

• Perturbational Complexity by Distribution Mismatch: A Systematic Analysis of Reinforcement Learning in Reproducing Kernel Hilbert Space

  Jihao Long, Jiequn Han

  2024-03-21

  DOI:10.4208/jml.220114

  80414 4521 pp. 1-37 Open Access

• Enhancing Accuracy in Deep Learning Using Random Matrix Theory

  Leonid Berlyand, Etienne Sandier, Yitzchak Shmalo, Lei Zhang

  2024-11-07

  DOI:10.4208/jml.231220

  19210 2706 pp. 347-412 Open Access

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

  Noboru Isobe, Mizuho Okumura

  2024-11-07

  DOI:10.4208/jml.231210

  17985 2255 pp. 413-444 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

  DOI:10.4208/jml.250213

  24724 349 pp. 223-263

• A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions

  Elisa Negrini, Yuxuan Liu, Liu Yang, Stanley J. Osher, Hayden Schaeffer

  2025-11-14

  DOI:10.4208/jml.250214

  24279 290 pp. 290-317

• Spectral Neural Networks: Approximation Theory and Optimization Landscape

  Chenghui Li, Rishi Sonthalia, Nicolás García Trillos

  2026-01-06

  DOI:10.4208/jml.240322

  463 485 pp. 19-70

• Stochastic Operator Network: A Stochastic Maximum Principle Based Approach to Operator Learning

  Ryan Bausback, Jingqiao Tang, Lu Lu, Feng Bao, Phuoc-Toan Huynh

  2026-01-28

  DOI:10.4208/jml.250709

  477 211 pp. 71-96

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

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

  2024-03-21

  DOI:10.4208/jml.220115

  81997 5707 pp. 114-140 Open Access

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

  Hongrui Chen, Lexing Ying

  2025-06-03

  DOI:10.4208/jml.240812

  8788 1065 pp. 108-127 Open Access

• Anchor Function: A Type of Benchmark Functions for Studying Language Models

  Zhongwang Zhang, Zhiwei Wang, Junjie Yao, Zhangchen Zhou, Xiaolong Li, Weinan E, Zhi-Qin John Xu

  2026-03-06

  DOI:10.4208/jml.250723

  75 43

• A Mathematical Framework for Learning Probability Distributions

  Hongkang Yang

  2022-12-30

  DOI:10.4208/jml.221202

  36338 4575 pp. 373-431 Open Access

• Neural Stochastic Volterra Equations: Learning Path-Dependent Dynamics

  Martin Bergerhausen, David J. Prömel, David Scheffels

  2025-12-17

  DOI:10.4208/jml.240926

  24065 233 pp. 264-289

• Mean-Field Neural Networks-Based Algorithms for McKean-Vlasov Control Problems

  Huyên Pham, Xavier Warin

  2024-06-27

  DOI:10.4208/jml.230106

  26527 2569 pp. 176-214 Open Access

• Semi-Supervised Clustering of Sparse Graphs: Crossing the Information-Theoretic Threshold

  Junda Sheng, Thomas Strohmer

  2024-03-21

  DOI:10.4208/jml.230624

  25330 3113 pp. 64-106 Open Access

• Solving Bivariate Kinetic Equations for Polymer Diffusion Using Deep Learning

  Heng Wang, Weihua Deng

  2024-06-27

  DOI:10.4208/jml.240124

  25828 2597 pp. 215-244 Open Access

• Fast Gradient Computation for Gromov-Wasserstein Distance

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

  2024-09-21

  DOI:10.4208/jml.240416

  20038 2489 pp. 282-299 Open Access

• Why Self-Attention Is Natural for Sequence-to-Sequence Problems? A Perspective from Symmetries

  Chao Ma, Lexing Ying

  2023-09-25

  DOI:10.4208/jml.221206

  27045 3366 pp. 194-210 Open Access