This paper rigorously establishes that standard multilayer feedforward networks with as few as one hidden layer using arbitrary squashing functions are capable of approximating any Borel measurable function from one finite dimensional space to another to any desired degree of accuracy, provided sufficiently many hidden units are available. In this sense, multilayer feedforward networks are a class of universal approximators.
Description
Multilayer feedforward networks are universal approximators
%0 Journal Article
%1 Hornik1989359
%A Hornik, Kurt
%A Stinchcombe, Maxwell
%A White, Halbert
%D 1989
%J Neural Networks
%K ma-zehe neuralnet
%N 5
%P 359 - 366
%R http://dx.doi.org/10.1016/0893-6080(89)90020-8
%T Multilayer feedforward networks are universal approximators
%U http://www.sciencedirect.com/science/article/pii/0893608089900208
%V 2
%X This paper rigorously establishes that standard multilayer feedforward networks with as few as one hidden layer using arbitrary squashing functions are capable of approximating any Borel measurable function from one finite dimensional space to another to any desired degree of accuracy, provided sufficiently many hidden units are available. In this sense, multilayer feedforward networks are a class of universal approximators.
@article{Hornik1989359,
abstract = {This paper rigorously establishes that standard multilayer feedforward networks with as few as one hidden layer using arbitrary squashing functions are capable of approximating any Borel measurable function from one finite dimensional space to another to any desired degree of accuracy, provided sufficiently many hidden units are available. In this sense, multilayer feedforward networks are a class of universal approximators. },
added-at = {2016-11-14T17:54:23.000+0100},
author = {Hornik, Kurt and Stinchcombe, Maxwell and White, Halbert},
biburl = {https://www.bibsonomy.org/bibtex/29a0d989a9b4609d3df8317590c57e79a/albinzehe},
description = {Multilayer feedforward networks are universal approximators},
doi = {http://dx.doi.org/10.1016/0893-6080(89)90020-8},
interhash = {9948713640c726f50c4c5a57e121f7ac},
intrahash = {9a0d989a9b4609d3df8317590c57e79a},
issn = {0893-6080},
journal = {Neural Networks },
keywords = {ma-zehe neuralnet},
number = 5,
pages = {359 - 366},
timestamp = {2016-11-14T17:54:23.000+0100},
title = {Multilayer feedforward networks are universal approximators },
url = {http://www.sciencedirect.com/science/article/pii/0893608089900208},
volume = 2,
year = 1989
}