Optimal rates of approximation by shallow ReLU$^k$ neural networks and
applications to nonparametric regression

Optimal rates of approximation by shallow ReLU $^k$ neural networks and applications to nonparametric regression

4 April 2023

Papers citing "Optimal rates of approximation by shallow ReLU$^k$ neural networks and applications to nonparametric regression"

14 / 14 papers shown

Title
ReLU integral probability metric and its applications Yuha Park Kunwoong Kim Insung Kong Yongdai Kim 48 0 0 26 Apr 2025
On the optimal approximation of Sobolev and Besov functions using deep ReLU neural networks Yunfei Yang 62 2 0 02 Sep 2024
Theoretical Insights into CycleGAN: Analyzing Approximation and Estimation Errors in Unpaired Data Generation Luwei Sun Dongrui Shen Han Feng 40 2 0 16 Jul 2024
Learning with Norm Constrained, Over-parameterized, Two-layer Neural Networks Fanghui Liu L. Dadi V. Cevher 82 2 0 29 Apr 2024
Approximation Rates and VC-Dimension Bounds for (P)ReLU MLP Mixture of Experts Anastasis Kratsios Haitz Sáez de Ocáriz Borde Takashi Furuya Marc T. Law MoE 41 1 0 05 Feb 2024
Expressivity and Approximation Properties of Deep Neural Networks with ReLU $^k$ Activation Juncai He Tong Mao Jinchao Xu 37 3 0 27 Dec 2023
Optimal Approximation of Zonoids and Uniform Approximation by Shallow Neural Networks Jonathan W. Siegel 45 7 0 28 Jul 2023
Learning Ability of Interpolating Deep Convolutional Neural Networks Tiancong Zhou X. Huo AI4CE 33 13 0 25 Oct 2022
Approximation bounds for norm constrained neural networks with applications to regression and GANs Yuling Jiao Yang Wang Yunfei Yang 36 19 0 24 Jan 2022
Understanding neural networks with reproducing kernel Banach spaces Francesca Bartolucci E. De Vito Lorenzo Rosasco S. Vigogna 44 50 0 20 Sep 2021
Near-Minimax Optimal Estimation With Shallow ReLU Neural Networks Rahul Parhi Robert D. Nowak 53 38 0 18 Sep 2021
Theory of Deep Convolutional Neural Networks II: Spherical Analysis Zhiying Fang Han Feng Shuo Huang Ding-Xuan Zhou 40 37 0 28 Jul 2020
$Approximation by Combinations of ReLU and Squared ReLU Ridge Functions with $ \ell^1 $ and $ \ell^0 $ Controls$ Approximation by Combinations of ReLU and Squared ReLU Ridge Functions with $\ell^1$ and $\ell^0$ Controls Jason M. Klusowski Andrew R. Barron 130 142 0 26 Jul 2016
Norm-Based Capacity Control in Neural Networks Behnam Neyshabur Ryota Tomioka Nathan Srebro 119 577 0 27 Feb 2015