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Rates of Approximation by ReLU Shallow Neural Networks

Rates of Approximation by ReLU Shallow Neural Networks

24 July 2023
Tong Mao
Ding-Xuan Zhou
ArXivPDFHTML

Papers citing "Rates of Approximation by ReLU Shallow Neural Networks"

10 / 10 papers shown
Title
Higher Order Approximation Rates for ReLU CNNs in Korobov Spaces
Higher Order Approximation Rates for ReLU CNNs in Korobov Spaces
Yuwen Li
Guozhi Zhang
31
1
0
20 Jan 2025
Approximation Rates and VC-Dimension Bounds for (P)ReLU MLP Mixture of
  Experts
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
15
1
0
05 Feb 2024
Expressivity and Approximation Properties of Deep Neural Networks with
  ReLU$^k$ Activation
Expressivity and Approximation Properties of Deep Neural Networks with ReLUk^kk Activation
Juncai He
Tong Mao
Jinchao Xu
19
3
0
27 Dec 2023
Nonparametric regression using over-parameterized shallow ReLU neural
  networks
Nonparametric regression using over-parameterized shallow ReLU neural networks
Yunfei Yang
Ding-Xuan Zhou
16
6
0
14 Jun 2023
Approximation by non-symmetric networks for cross-domain learning
Approximation by non-symmetric networks for cross-domain learning
H. Mhaskar
20
1
0
06 May 2023
Optimal rates of approximation by shallow ReLU$^k$ neural networks and
  applications to nonparametric regression
Optimal rates of approximation by shallow ReLUk^kk neural networks and applications to nonparametric regression
Yunfei Yang
Ding-Xuan Zhou
22
19
0
04 Apr 2023
SignReLU neural network and its approximation ability
SignReLU neural network and its approximation ability
Jianfei Li
Han Feng
Ding-Xuan Zhou
14
3
0
19 Oct 2022
Approximation analysis of CNNs from a feature extraction view
Approximation analysis of CNNs from a feature extraction view
Jianfei Li
Han Feng
Ding-Xuan Zhou
14
3
0
14 Oct 2022
Theory of Deep Convolutional Neural Networks II: Spherical Analysis
Theory of Deep Convolutional Neural Networks II: Spherical Analysis
Zhiying Fang
Han Feng
Shuo Huang
Ding-Xuan Zhou
21
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 ℓ1 \ell^1 ℓ1 and ℓ0 \ell^0 ℓ0 Controls
Jason M. Klusowski
Andrew R. Barron
108
142
0
26 Jul 2016
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