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

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F08%3A00308989" target="_blank" >RIV/67985556:_____/08:00308989 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

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

Original language 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 onlythe knowledge of the minimal singular value of the corresponding matrix.

Czech name

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Czech description

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Type

D - Article in proceedings

CEP classification

BB - Applied statistics, operational research

OECD FORD branch

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Project

<a href="/en/project/2C06001" target="_blank" >2C06001: Fully probabilistic design of adaptive decision-making strategies suitable under informationally demanding conditions</a><br>

Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2008

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection

Artificial Neural Networks - ICANN 2008

ISBN

978-3-540-87535-2

ISSN

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e-ISSN

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Number of pages

10

Pages from-to

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Publisher name

Springer

Place of publication

Berlin

Event location

Diplomat Hotel, Prague

Event date

Sep 3, 2008

Type of event by nationality

WRD - Celosvětová akce

UT code for WoS article

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