An integral upper bound for neural network approximation.

Abstract:

:Complexity of one-hidden-layer networks is studied using tools from nonlinear approximation and integration theory. For functions with suitable integral representations in the form of networks with infinitely many hidden units, upper bounds are derived on the speed of decrease of approximation error as the number of network units increases. These bounds are obtained for various norms using the framework of Bochner integration. Results are applied to perceptron networks.

journal_name

Neural Comput

journal_title

Neural computation

authors

Kainen PC,Kůrková V

doi

10.1162/neco.2009.04-08-745

subject

Has Abstract

pub_date

2009-10-01 00:00:00

pages

2970-89

issue

10

eissn

0899-7667

issn

1530-888X

journal_volume

21

pub_type

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