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

  DOI:10.4208/jml.220404

  39576 4584 pp. 247-267 Open Access

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

  Nilin Abrahamsen, Lin Lin

  2023-09-25

  DOI:10.4208/jml.230703

  28069 3522 pp. 211-240 Open Access

• Approximation of Functionals by Neural Network Without Curse of Dimensionality

  Yahong Yang, Yang Xiang

  2022-12-30

  DOI:10.4208/jml.221018

  35611 4388 pp. 342-372 Open Access

• Neural Stochastic Volterra Equations: Learning Path-Dependent Dynamics

  Martin Bergerhausen, David J. Prömel, David Scheffels

  2025-12-17

  DOI:10.4208/jml.240926

  24065 233 pp. 264-289

• Spectral Neural Networks: Approximation Theory and Optimization Landscape

  Chenghui Li, Rishi Sonthalia, Nicolás García Trillos

  2026-01-06

  DOI:10.4208/jml.240322

  463 485 pp. 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

  DOI:10.4208/jml.250709

  477 211 pp. 71-96

• 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

  DOI:10.4208/jml.220509

  40831 4379 pp. 299-341 Open Access

• Batch Normalization Preconditioning for Stochastic Gradient Langevin Dynamics

  Susanna Lange, Wei Deng, Qiang Ye, Guang Lin

  2024-03-21

  DOI:10.4208/jml.220726a

  33725 4577 pp. 65-82 Open Access

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

  Robert Balkin, Hector D. Ceniceros, Ruimeng Hu

  2024-03-21

  DOI:10.4208/jml.230713

  26367 2967 pp. 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

  DOI:10.4208/jml.231210

  17985 2255 pp. 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

  DOI:10.4208/jml.220108

  80621 4624 pp. 60-113 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

  DOI:10.4208/jml.231109

  44354 805 pp. 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

  DOI:10.4208/jml.250107

  44381 813 pp. 166-191 Open Access

• Embedding Inequalities for Barron-Type Spaces

  Lei Wu

  2023-12-28

  DOI:10.4208/jml.230530

  26411 3155 pp. 259-270 Open Access

• Enhancing Accuracy in Deep Learning Using Random Matrix Theory

  Leonid Berlyand, Etienne Sandier, Yitzchak Shmalo, Lei Zhang

  2024-11-07

  DOI:10.4208/jml.231220

  19210 2706 pp. 347-412 Open Access

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

  Steffen Dereich, Sebastian Kassing

  2024-03-21

  DOI:10.4208/jml.230903

  26016 3034 pp. 1-22 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

  DOI:10.4208/jml.221209

  33080 4333 pp. 83-107 Open Access