Search Results

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

  Chao Ma, Daniel Kunin, Lei Wu, Lexing Ying

  2022-09-22

  39410 4502 Pages:247-267 Open-access

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

  Nilin Abrahamsen, Lin Lin

  2023-09-25

  27928 3429 Pages:211-240 Open-access

• Approximation of Functionals by Neural Network Without Curse of Dimensionality

  Yahong Yang, Yang Xiang

  2022-12-30

  35476 4289 Pages:342-372 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

• Spectral Neural Networks: Approximation Theory and Optimization Landscape

  Chenghui Li, Rishi Sonthalia, Nicolás García Trillos

  2026-01-06

  123 206

• 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

  109 46

• 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

  40641 4304 Pages:299-341 Open-access

• 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

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

  Robert Balkin, Hector D. Ceniceros, Ruimeng Hu

  2024-03-21

  26248 2832 Pages:23-63 Open-access

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

  Noboru Isobe, Mizuho Okumura

  2024-11-07

  17828 2123 Pages:413-444 Open-access

• Embedding Principle: A Hierarchical Structure of Loss Landscape of Deep Neural Networks

  Yaoyu Zhang, Yuqing Li, Zhongwang Zhang, Tao Luo, Zhi-Qin John Xu

  2024-03-21

  80496 4499 Pages:60-113 Open-access

• Embedding Inequalities for Barron-Type Spaces

  Lei Wu

  2023-12-28

  26259 3037 Pages:259-270 Open-access

• Optimistic Estimate Uncovers the Potential of Nonlinear Models

  Yaoyu Zhang, Zhongwang Zhang, Leyang Zhang, Zhiwei Bai, Tao Luo, Zhi-Qin John Xu

  2025-09-12

  44171 721 Pages:192-222 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

  44196 715 Pages:166-191 Open-access

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

  Steffen Dereich, Sebastian Kassing

  2024-03-21

  25883 2930 Pages:1-22 Open-access

• Enhancing Accuracy in Deep Learning Using Random Matrix Theory

  Leonid Berlyand, Etienne Sandier, Yitzchak Shmalo, Lei Zhang

  2024-11-07

  19023 2480 Pages:347-412 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

  32949 4209 Pages:83-107 Open-access