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Description
  • 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.
  • 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. (en)
Title
  • Accuracy of approximations of solutions to Fredholm equations by kernel methods
  • Accuracy of approximations of solutions to Fredholm equations by kernel methods (en)
skos:prefLabel
  • Accuracy of approximations of solutions to Fredholm equations by kernel methods
  • Accuracy of approximations of solutions to Fredholm equations by kernel methods (en)
skos:notation
  • RIV/67985807:_____/12:00373097!RIV12-AV0-67985807
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GAP202/11/1368), P(OC10047), Z(AV0Z10300504)
http://linked.open...iv/cisloPeriodika
  • 14
http://linked.open...vai/riv/dodaniDat
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  • 120870
http://linked.open...ai/riv/idVysledku
  • RIV/67985807:_____/12:00373097
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  • approximate solutions to integral equations; radial and kernel-based networks; Gaussian kernels; model complexity; analysis of algorithms (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [9C089C0EA645]
http://linked.open...i/riv/nazevZdroje
  • Applied Mathematics and Computation
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http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 218
http://linked.open...iv/tvurceVysledku
  • Gnecco, G.
  • Kůrková, Věra
  • Sanguineti, M.
http://linked.open...ain/vavai/riv/wos
  • 000300783300015
http://linked.open...n/vavai/riv/zamer
issn
  • 0096-3003
number of pages
http://bibframe.org/vocab/doi
  • 10.1016/j.amc.2012.01.015
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