Lower estimation of approximation rate for neural networks
type: Item
instance of: scholarly article
title: Lower estimation of approximation rate for neural networks
zbMATH Open document ID: 1192.68506
author: Feilong Cao
author: Yongquan Zhang
author: Zongben Xu
published in: Science in China. Series F
publication date: 2010-03-03T00:00:00Z
Mathematics Subject Classification ID: 68T05
zbMATH DE Number: 5676787
zbMATH Keywords: feedforward neural networks
zbMATH Keywords: approximation
zbMATH Keywords: topology structure of hidden layer
zbMATH Keywords: rate
zbMATH Keywords: lower
MaRDI profile type: Publication
full work available at URL: s11432-009-0027-7
OpenAlex ID: W1999902962
cites work: Approximation by superpositions of a sigmoidal function
cites work: Multilayer feedforward networks are universal approximators
cites work: Approximation by superposition of sigmoidal and radial basis functions
cites work: Approximation problems in system identification with neural networks
cites work: Degree of approximation by neural and translation networks with a single hidden layer
cites work: Dimension-independent bounds on the degree of approximation by neural networks
cites work: Approximation by Ridge functions and neural networks with one hidden layer
cites work: Bounds on rates of variable-basis and neural-network approximation
cites work: Simultaneous approximations of multivariate functions and their derivatives by neural networks with one hidden layer
cites work: Improved rates and asymptotic normality for nonparametric neural network estimators
cites work: Efficient estimation of neural weights by polynomial approximation
cites work: On best approximation by ridge functions
cites work: Comparison of worst case errors in linear and neural network approximation
cites work: Universal approximation bounds for superpositions of a sigmoidal function
cites work: The essential order of approximation for neural networks
cites work: Q5310294
cites work: Q3538684
cites work: Simultaneous \(\mathbf L^p\)-approximation order for neural networks
cites work: Q3817079
cites work: The essential order of approximation for nearly exponential type neural networks
DOI: 10.1007/S11432-009-0027-7
Recommended article: Q4783893
Recommended article: Lower bounds for approximation by MLP neural networks
Recommended article: Approximation and estimation bounds for artificial neural networks
Recommended article: Rates of approximation by ReLU shallow neural networks
Recommended article: Q4546512
Recommended article: Q4400833
Recommended article: Estimation of approximating rate for neural network in \(L^p_w\) spaces
Recommended article: Geometric Rates of Approximation by Neural Networks
Recommended article: Approximation rates for neural networks with general activation functions
Recommended article: Error bounds for approximation with neural networks
description: scientific article; zbMATH DE number 5676787