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• Batch Normalization Preconditioning for Stochastic Gradient Langevin Dynamics

  Susanna Lange, Wei Deng, Qiang Ye, Guang Lin

  2024-03-21

  33598 4465 Pages:65-82 Open-access

• Neural Stochastic Volterra Equations: Learning Path-Dependent Dynamics

  Martin Bergerhausen, David J. Prömel, David Scheffels

  2025-12-17

  23793 129 Pages:264-289

• 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

  23974 135 Pages:290-317

• Spectral Neural Networks: Approximation Theory and Optimization Landscape

  Chenghui Li, Rishi Sonthalia, Nicolás García Trillos

  2026-01-06

  123 206

• Solving Bivariate Kinetic Equations for Polymer Diffusion Using Deep Learning

  Heng Wang, Weihua Deng

  2024-06-27

  25663 2463 Pages:215-244 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

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

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

  2025-03-12

  11439 1190 Pages:11-47 Open-access

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

  Nikolas Nüsken, Lorenz Richter

  2024-03-21

  36192 4647 Pages:31-64 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

• 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