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

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.

Grafik Top
Authors
  • Schindlerova (Hlavackova-Schindler), Katerina
Grafik Top
Shortfacts
Category
Paper in Conference Proceedings or in Workshop Proceedings (Paper)
Event Title
International Conference on Artificial Neural Networks (ICANN) 2008
Divisions
Data Mining
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
Export
Grafik Top