An Integral Upper Bound for Neural Network Approximation

Authors: P.C. Kainen, Věra Kůrková
Publication year: 2009
Publication type: Článek v odborném periodiku
Periodical: Neural Computation
Projects: Centre for Applied Cybernetics
Bibliographic citation: KAINEN, P.C., KŮRKOVÁ, Věra. An Integral Upper Bound for Neural Network Approximation. Neural Computation. 2009, 21(10), 2970-2989. ISSN 0899-7667. E-ISSN 1530-888X
Dostupné z: doi:10.1162/neco.2009.04-08-745
DOI: 10.1162/neco.2009.04-08-745
ID: 328415

Abstract

For functions with suitable integral representations in the form of networks with infinitely many hidden units, upper bounds are derived on the speed of decrease of approximation error as the number of network units increases. These bounds are obtained using the framework of Bochner.