Nearly Optimal VC-Dimension and Pseudo-Dimension Bounds for Deep Neural Network Derivatives

15 May 2023

Papers citing "Nearly Optimal VC-Dimension and Pseudo-Dimension Bounds for Deep Neural Network Derivatives"

11 / 11 papers shown

Title
Generalizability of Neural Networks Minimizing Empirical Risk Based on Expressive Ability Lijia Yu Yibo Miao Yifan Zhu Xiao-Shan Gao Lijun Zhang 48 0 0 06 Mar 2025
Curse of Dimensionality in Neural Network Optimization Sanghoon Na Haizhao Yang 51 0 0 07 Feb 2025
Quantifying Training Difficulty and Accelerating Convergence in Neural Network-Based PDE Solvers Chuqi Chen Qixuan Zhou Yahong Yang Yang Xiang Tao Luo 29 1 0 08 Oct 2024
Blessing of Dimensionality for Approximating Sobolev Classes on Manifolds Hong Ye Tan Subhadip Mukherjee Junqi Tang Carola-Bibiane Schönlieb 54 0 0 13 Aug 2024
Generalization bounds for regression and classification on adaptive covering input domains Wen-Liang Hwang 23 0 0 29 Jul 2024
Newton Informed Neural Operator for Computing Multiple Solutions of Nonlinear Partials Differential Equations Wenrui Hao Xinliang Liu Yahong Yang 25 4 0 23 May 2024
Automatic Differentiation is Essential in Training Neural Networks for Solving Differential Equations Chuqi Chen Yahong Yang Yang Xiang Wenrui Hao 26 2 0 23 May 2024
Deeper or Wider: A Perspective from Optimal Generalization Error with Sobolev Loss Yahong Yang Juncai He AI4CE 26 7 0 31 Jan 2024
Deep Neural Networks and Finite Elements of Any Order on Arbitrary Dimensions Juncai He Jinchao Xu 25 7 0 21 Dec 2023
Optimal Deep Neural Network Approximation for Korobov Functions with respect to Sobolev Norms Yahong Yang Yulong Lu 34 3 0 08 Nov 2023
Optimal Approximation Rate of ReLU Networks in terms of Width and Depth Zuowei Shen Haizhao Yang Shijun Zhang 101 115 0 28 Feb 2021