| Issue |
ESAIM: Proc.
Volume 20, 2007
RFMAO 05 - Rencontres Franco-Marocaines en Approximation et Optimisation 2005
|
|
|---|---|---|
| Page(s) | 63 - 71 | |
| DOI | https://doi.org/10.1051/proc:072006 | |
| Published online | 13 October 2007 | |
data fitting by vector (V,f)-reproducing kernels
Laboratoire MIP-UMR 5640, Université Paul Sabatier, UFR MIG, 118, route de Narbonne, F-31062 Toulouse Cedex 04, FRANCE
Corresponding author: bbourhim@cict.fr
In this paper we propose a constructive method to build vector reproducing kernels. We define the notion of vector (V,f)-reproducing kernel and we prove that every vector reproducing kernel is a (V,f)-reproducing kernel. We study the minimal approximation by these (V,f)-reproducing kernels for different choices of V and f.
Résumé
Dans ce travail on propose une méthode constructive pour générer des noyaux reproduisants vectoriels. On définit la notion de (V,f)-noyau reproduisant vectoriel et on montre que tout noyau reproduisant vectoriel est un (V,f)-noyau reproduisant vectoriel. On étudie l'approximation minimale à l'aide de ces (V,f)-noyaux reproduisants vectoriels pour différents choix de V et f.
Mathematics Subject Classification: ??? / ???
Key words: vector reproducing kernel / vector (V / f)-reproducing kernel / approximation theory.
© EDP Sciences, ESAIM, 2007
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