Tikhonov regularization parameter in reproducing kernel Hilbert spaces with respect to the sensitivity of the solution
Abstract
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.
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- Hlavackova-Schindler, Katerina
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Shortfacts
Category |
Paper in Conference Proceedings or in Workshop Proceedings (Paper) |
Event Title |
International Conference on Artificial Neural Networks (ICANN) 2008 |
Divisions |
Data Mining and Machine Learning |
Subjects |
Kuenstliche Intelligenz |
Event Location |
Prague, Czech Republic |
Event Type |
Conference |
Event Dates |
September 2008 |
Series Name |
Artificial Neural Networks |
ISSN/ISBN |
978-3-540-87535-2 |
Publisher |
Springer |
Date |
September 2008 |
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