Original Contribution: Approximation of a function and its derivative with a neural network

Authors:
Pierre Cardaliaguet;Guillaume Euvrard
Affiliations:
-;-
Venue:
Neural Networks
Year:
1992

Citing 5
Cited 16

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Approximation properties of local bases assembled from neural network transfer functions

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Abstract

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.