Approximation of a function and its derivative with a neural network

dc.contributor.author	Cardaliaguet, Pierre
dc.contributor.author	Euvrard, Guillaume
dc.date.accessioned	2014-12-18T08:39:41Z
dc.date.available	2014-12-18T08:39:41Z
dc.date.issued	1992
dc.identifier.uri	https://basepub.dauphine.fr/handle/123456789/14468
dc.language.iso	en	en
dc.subject	Feedforward neural networks	en
dc.subject	Functions approximation	en
dc.subject	Interpolation	en
dc.subject	Bell-shaped functions	en
dc.subject	Squashing functions	en
dc.subject	Robustness with respect to noise	en
dc.subject	Implicit function	en
dc.subject	Control	en
dc.subject.ddc	515	en
dc.title	Approximation of a function and its derivative with a neural network	en
dc.type	Article accepté pour publication ou publié
dc.description.abstracten	This paper deals with the approximation of both a function and its derivative by feedforward neural networks. We propose an explicit formula of approximation which is noise resistant and can be easily modified with the patterns. We apply these results to approach a function defined implicitly, which is useful in control theory.	en
dc.relation.isversionofjnlname	Neural Networks
dc.relation.isversionofjnlvol	5	en
dc.relation.isversionofjnlissue	2	en
dc.relation.isversionofjnldate	1992
dc.relation.isversionofjnlpages	207-220	en
dc.relation.isversionofdoi	http://dx.doi.org/10.1016/S0893-6080(05)80020-6	en
dc.relation.isversionofjnlpublisher	Elsevier	en
dc.subject.ddclabel	Analyse	en
dc.relation.forthcoming	non	en
dc.relation.forthcomingprint	non	en

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