Search Results

• Reinforcement Learning with Function Approximation: From Linear to Nonlinear

  Jihao Long, Jiequn Han

  2023-09-25

  56390 4888 Pages:161-193 Open-access

• Approximation Results for Gradient Flow Trained Neural Networks

  Gerrit Welper

  2024-06-27

  25372 2725 Pages:107-175 Open-access

• A Brief Survey on the Approximation Theory for Sequence Modelling

  Haotian Jiang, Qianxiao Li, Zhong Li, Shida Wang

  2024-03-21

  67462 5424 Pages:1-30 Open-access

• Approximation of Functionals by Neural Network Without Curse of Dimensionality

  Yahong Yang, Yang Xiang

  2022-12-30

  35611 4385 Pages:342-372 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

  40828 4373 Pages:299-341 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

  39574 4582 Pages:247-267 Open-access

• Embedding Inequalities for Barron-Type Spaces

  Lei Wu

  2023-12-28

  26411 3151 Pages:259-270 Open-access

• On the Existence of Optimal Shallow Feedforward Networks with ReLU Activation

  Steffen Dereich, Sebastian Kassing

  2024-03-21

  26014 3028 Pages:1-22 Open-access

• Spectral Neural Networks: Approximation Theory and Optimization Landscape

  Chenghui Li, Rishi Sonthalia, Nicolás García Trillos

  2026-01-06

  459 483 Pages:19-70

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

  Jihao Long, Jiequn Han

  2024-03-21

  80414 4515 Pages:1-37 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

  44378 808 Pages:166-191 Open-access

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

  Noboru Isobe, Mizuho Okumura

  2024-11-07

  17981 2251 Pages:413-444 Open-access

• Fast Gradient Computation for Gromov-Wasserstein Distance

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

  2024-09-21

  20033 2475 Pages:282-299 Open-access

• Convergence of Stochastic Gradient Descent Schemes for Łojasiewicz-Landscapes

  Steffen Dereich, Sebastian Kassing

  2024-09-21

  20357 2471 Pages:245-281 Open-access

• Solving Bivariate Kinetic Equations for Polymer Diffusion Using Deep Learning

  Heng Wang, Weihua Deng

  2024-06-27

  25826 2593 Pages:215-244 Open-access

• A Mathematical Framework for Learning Probability Distributions

  Hongkang Yang

  2022-12-30

  36338 4574 Pages:373-431 Open-access

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

  Nikolas Nüsken, Lorenz Richter

  2024-03-21

  36337 4735 Pages:31-64 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

  33079 4324 Pages:83-107 Open-access

• Efficient Anti-Symmetrization of a Neural Network Layer by Taming the Sign Problem

  Nilin Abrahamsen, Lin Lin

  2023-09-25

  28066 3522 Pages:211-240 Open-access