The errors of approximation for feedforward neural networks in the Lp metric

Authors:
Feilong Cao;Rui Zhang
Affiliations:
Department of Information and Mathematics Sciences, College of Science, China Jiliang University, Hangzhou, 310018, PR China;Institute for Information and System Sciences, Xi'an Jiaotong University, Xi'an, 710049, PR China and Department of Mathematics, Northwest University, Xi'an, 710069, PR China
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2009

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Abstract

Two classes of feedforward neural networks (FNNs) with one hidden layer are constructed to approximate L^p integrable functions in this paper. We not only show that the constructed FNNs can approximate any f@?L^p[a,b](1@?p