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Corpus ID: 16287444

Approximation by Superpositions of a Sigmoidal Function *

@inproceedings{Cybenkot2006ApproximationBS,
title={Approximation by Superpositions of a Sigmoidal Function *},
author={G Cybenkot},
year={2006}
}

G Cybenkot

Published 2006

Abstr,,ct. In this paper we demonstrate that finite linear combinations of compositions of a fixed, univariate function and a set ofaffine functionals can uniformly approximate any continuous function of n real variables with support in the unit hypercube; only mild conditions are imposed on the univariate function. Our results settle an open question about representability in the class of single bidden layer neural networks. In particular, we show that arbitrary decision regions can be… Expand