Search Results

• Reinforcement Learning with Function Approximation: From Linear to Nonlinear

  Jihao Long, Jiequn Han

  2023-09-25

  56050 4694 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

  47136 4774 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

  26108 2711 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

  32232 4066 Pages:108-137 Open-access

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

  Nikolas Nüsken, Lorenz Richter

  2024-03-21

  35999 4570 Pages:31-64 Open-access

• A Note on Continuous-Time Online Learning

  Lexing Ying

  2025-03-12

  10977 971 Pages:1-10 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

  11271 1091 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

  41390 4206 Pages:141-246 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

  80140 4358 Pages:1-37 Open-access

• A Brief Survey on the Approximation Theory for Sequence Modelling

  Haotian Jiang, Qianxiao Li, Zhong Li, Shida Wang

  2024-03-21

  67224 5283 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

  32825 4105 Pages:83-107 Open-access

• Enhancing Accuracy in Deep Learning Using Random Matrix Theory

  Leonid Berlyand, Etienne Sandier, Yitzchak Shmalo, Lei Zhang

  2024-11-07

  18826 2352 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

  17621 2016 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

  478 115

• 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

  118 12

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

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

  2024-03-21

  81644 5539 Pages:114-140 Open-access

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

  Hongrui Chen, Lexing Ying

  2025-06-03

  8373 724 Pages:108-127 Open-access

• A Mathematical Framework for Learning Probability Distributions

  Hongkang Yang

  2022-12-30

  36096 4360 Pages:373-431 Open-access

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

  Huyên Pham, Xavier Warin

  2024-06-27

  233 123 Pages:176-214 Open-access

• Beyond the Quadratic Approximation: The Multiscale Structure of Neural Network Loss Landscapes

  Chao Ma, Daniel Kunin, Lei Wu, Lexing Ying

  2022-09-22

  39259 4444 Pages:247-267 Open-access

• A Deep Uzawa-Lagrange Multiplier Approach for Boundary Conditions in PINNs and Deep Ritz Methods

  Charalambos G. Makridakis, Aaron Pim, Tristan Pryer

  2025-09-12

  22854 266 Pages:166-191 Open-access

• Learning a Sparse Representation of Barron Functions with the Inverse Scale Space Flow

  Tjeerd Jan Heeringa, Tim Roith, Christoph Brune, Martin Burger

  2025-03-12

  10927 1105 Pages:48-88 Open-access

• The Cost-Accuracy Trade-Off in Operator Learning with Neural Networks

  Maarten V. de Hoop, Daniel Zhengyu Huang, Elizabeth Qian, Andrew M. Stuart

  2022-09-22

  40487 4237 Pages:299-341 Open-access

• Fast Gradient Computation for Gromov-Wasserstein Distance

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

  2024-09-21

  19671 2278 Pages:282-299 Open-access

• Solving Bivariate Kinetic Equations for Polymer Diffusion Using Deep Learning

  Heng Wang, Weihua Deng

  2024-06-27

  25479 2346 Pages:215-244 Open-access

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

  Junda Sheng, Thomas Strohmer

  2024-03-21

  25005 2808 Pages:64-106 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

  26126 2446 Pages:138-160 Open-access