eprintid: 1722
rev_number: 6
eprint_status: archive
userid: 46
dir: disk0/00/00/17/22
datestamp: 2013-09-13 11:54:38
lastmod: 2013-09-16 12:02:59
status_changed: 2013-09-13 11:54:38
type: article
metadata_visibility: no_search
creators_name: Gnecco, Giorgio
creators_name: Kůrková, Věra
creators_name: Sanguineti, Marcello
creators_id: giorgio.gnecco@imtlucca.it
creators_id: 
creators_id: 
title: Accuracy of approximations of solutions to Fredholm equations by kernel methods 
ispublished: pub
subjects: QA75
divisions: CSA
full_text_status: none
keywords: Approximate solutions to integral equations; Radial and kernel-based networks; Gaussian kernels; Model complexity;
Analysis of algorithms
abstract: Approximate solutions to inhomogeneous Fredholm integral equations of the second kind by radial and kernel networks are investigated. Upper bounds are derived on errors in approximation of solutions of these equations by networks with increasing model complexity. The bounds are obtained using results from nonlinear approximation theory. The results are applied to networks with Gaussian and kernel units and illustrated by numerical simulations. 
date: 2012
date_type: published
publication: Applied Mathematics and Computation
volume: 218
number: 14
publisher: Elsevier
pagerange: 7481 - 7497
id_number: 10.1016/j.amc.2012.01.015
refereed: TRUE
issn: 0096-3003
official_url: http://www.sciencedirect.com/science/article/pii/S0096300312000483
citation:   Gnecco, Giorgio and Kůrková, Věra and Sanguineti, Marcello  Accuracy of approximations of solutions to Fredholm equations by kernel methods.  Applied Mathematics and Computation, 218 (14).  7481 - 7497.  ISSN 0096-3003      (2012)