bibtype C - Conference Paper (international conference)
ARLID 0308989
utime 20240103190122.7
mtime 20091112235959.9
title (primary) (eng) Tikhonov regularization parameter in reproducing kernel Hilbert Spaces with respect to the sensitivity of the solution
specification
page_count 10 s.
serial
ARLID cav_un_epca*0311332
ISBN 978-3-540-87535-2
title Artificial Neural Networks - ICANN 2008
part_num Part I
page_num 215-224
publisher
place Berlin
name Springer
year 2008
editor
name1 Kůrková
name2 V.
editor
name1 Neruda
name2 R.
editor
name1 Koutník
name2 J.
title (cze) Tichonovův regularizační parametr v reprodukčních jádrových Hilbertových prostorech vzhledem k "citlivosti" řešení
keyword regularization
keyword reproducing Kernel
keyword Hilbert Spaces
author (primary)
ARLID cav_un_auth*0247122
name1 Hlaváčková-Schindler
name2 Kateřina
institution UTIA-B
fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
source
url http://library.utia.cas.cz/separaty/2009/AS/schindler-tikhonov regularization parameter in reproducing kernel hilbert spaces with respect to the sensitivity of the solution.pdf
cas_special
project
project_id 2C06001
agency GA MŠk
ARLID cav_un_auth*0217685
research CEZ:AV0Z10750506
abstract (eng) 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.
abstract (cze) Uvažujeme Tichonovovu regularizaci v Hilbertových prostorech s reprodukujícími se jádry. Odvozujeme interval obsahující optimální hodnotu Tichonovova regularizačního parametru. Pro normalizované jádro poskytujeme explicitní formuli pro tento parametr. Ta je založena jen na minimální singulární hodnotě odpovídající matice.
action
ARLID cav_un_auth*0240201
name International Conference on Neural Networks, Prague, September 2008
place Diplomat Hotel, Prague
dates 03.09.2008-06.09.2008
country CZ
reportyear 2010
RIV BB
permalink http://hdl.handle.net/11104/0161262
arlyear 2008
mrcbU63 cav_un_epca*0311332 Artificial Neural Networks - ICANN 2008 Part I 978-3-540-87535-2 215 224 Berlin Springer 2008 Lecture Notes in Computer Science 5163
mrcbU67 Kůrková V. 340
mrcbU67 Neruda R. 340
mrcbU67 Koutník J. 340