Search Results

• Reinforcement Learning with Function Approximation: From Linear to Nonlinear

  Jihao Long, Jiequn Han

  2023-09-25

  56392 4889 Pages: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

  47630 5047 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

  26367 2967 Pages: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

  32581 4210 Pages:108-137 Open-access

• A Note on Continuous-Time Online Learning

  Lexing Ying

  2025-03-12

  11308 1149 Pages: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

  36341 4737 Pages: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

  11637 1326 Pages: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

  41729 4351 Pages: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

  67463 5427 Pages: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

  33080 4333 Pages: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

  80414 4521 Pages:1-37 Open-access

• Enhancing Accuracy in Deep Learning Using Random Matrix Theory

  Leonid Berlyand, Etienne Sandier, Yitzchak Shmalo, Lei Zhang

  2024-11-07

  19210 2706 Pages: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

  17985 2255 Pages: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

  24724 349 Pages: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

  24279 290 Pages:290-317

• Spectral Neural Networks: Approximation Theory and Optimization Landscape

  Chenghui Li, Rishi Sonthalia, Nicolás García Trillos

  2026-01-06

  463 485 Pages: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

  477 211 Pages: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

  81997 5707 Pages:114-140 Open-access

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

  Hongrui Chen, Lexing Ying

  2025-06-03

  8788 1065 Pages: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

  75 43

• A Mathematical Framework for Learning Probability Distributions

  Hongkang Yang

  2022-12-30

  36338 4575 Pages:373-431 Open-access

• Neural Stochastic Volterra Equations: Learning Path-Dependent Dynamics

  Martin Bergerhausen, David J. Prömel, David Scheffels

  2025-12-17

  24065 233 Pages:264-289

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

  Huyên Pham, Xavier Warin

  2024-06-27

  26527 2569 Pages:176-214 Open-access

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

  Junda Sheng, Thomas Strohmer

  2024-03-21

  25330 3113 Pages:64-106 Open-access

• Solving Bivariate Kinetic Equations for Polymer Diffusion Using Deep Learning

  Heng Wang, Weihua Deng

  2024-06-27

  25828 2597 Pages:215-244 Open-access

• Fast Gradient Computation for Gromov-Wasserstein Distance

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

  2024-09-21

  20038 2489 Pages: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

  27045 3366 Pages:194-210 Open-access