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Representations and rates of approximation of real-valued Boolean functions by neural networks

. 1998 Jun ; 11 (4) : 651-659.

Status PubMed-not-MEDLINE Language English Country United States Media print

Document type Journal Article

We give upper bounds on rates of approximation of real-valued functions of d Boolean variables by one-hidden-layer perceptron networks. Our bounds are of the form c/n where c depends on certain norms of the function being approximated and n is the number of hidden units. We describe sets of functions where these norms grow either polynomially or exponentially with d.

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