About: Tikhonov regularization parameter in reproducing kernel Hilbert Spaces with respect to the sensitivity of the solution

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	In our paper, we consider Tikhonov regularization in the reproducing Kernel Hilbert Spaces. In this space we derive upper and lower bound of the interval which contains the optimal value of Tikhonov regularization parameter with respect to the sensitivity of the solution without computing the singular values of the corresponding matrix. For the case of normalized kernel, we give an explicit formula for the optimal regularization parameter with respect to the sensitivity of the solution which needs only the knowledge of the minimal singular value of the corresponding matrix. In our paper, we consider Tikhonov regularization in the reproducing Kernel Hilbert Spaces. In this space we derive upper and lower bound of the interval which contains the optimal value of Tikhonov regularization parameter with respect to the sensitivity of the solution without computing the singular values of the corresponding matrix. For the case of normalized kernel, we give an explicit formula for the optimal regularization parameter with respect to the sensitivity of the solution which needs only the knowledge of the minimal singular value of the corresponding matrix. (en)
Title	Tikhonov regularization parameter in reproducing kernel Hilbert Spaces with respect to the sensitivity of the solution Tikhonov regularization parameter in reproducing kernel Hilbert Spaces with respect to the sensitivity of the solution (en)
skos:prefLabel	Tikhonov regularization parameter in reproducing kernel Hilbert Spaces with respect to the sensitivity of the solution Tikhonov regularization parameter in reproducing kernel Hilbert Spaces with respect to the sensitivity of the solution (en)
skos:notation	RIV/67985556:_____/08:00308989!RIV10-MSM-67985556
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(2C06001), Z(AV0Z10750506)
http://linked.open...vai/riv/dodaniDat	2010
http://linked.open...aciTvurceVysledku	Hlaváčková-Schindler, Kateřina
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ústav teorie informace a automatizace AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	400043
http://linked.open...ai/riv/idVysledku	RIV/67985556:_____/08:00308989
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	regularization; reproducing Kernel; Hilbert Spaces (en)
http://linked.open.../riv/klicoveSlovo	Hilbert Spaces reproducing Kernel regularization
http://linked.open...ontrolniKodProRIV	[C2237BEDF927]
http://linked.open...v/mistoKonaniAkce	Diplomat Hotel, Prague
http://linked.open...i/riv/mistoVydani	Berlin
http://linked.open...i/riv/nazevZdroje	Artificial Neural Networks - ICANN 2008
http://linked.open...in/vavai/riv/obor	BB
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...vavai/riv/projekt	Fully probabilistic design of adaptive decision-making strategies suitable under informationally demanding conditions
http://linked.open...UplatneniVysledku	2008
http://linked.open...iv/tvurceVysledku	Hlaváčková-Schindler, Kateřina
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open.../riv/zahajeniAkce	2008-09-03 (xsd:date)
http://linked.open...n/vavai/riv/zamer	Pokročilé matematické metody získávání, zpracování a využití informací a znalostí ve složitých a nedeterministických systémech
number of pages	10 (xsd:int)
http://purl.org/ne...btex#hasPublisher	Springer-Verlag
https://schema.org/isbn	978-3-540-87535-2

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