Abstract
We give a survey of results concerning the convergence and convergence rates and oracle inequalities for the quasi-optimality parameter choice for the most common regularization methods.

Editor-in-Chief: Kabanikhin, Sergey I.
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1Fuzzy Logic Laboratorium Linz-Hagenberg, Johannes Kepler University of Linz, Softwarepark 21, 4232 Hagenberg, Austria. Email: frank.bauer@jku.at
2Industrial Mathematics Institute, Johannes Kepler University of Linz, Altenbergerstr. 69, 4040 Linz, Austria. Email: kindermann@indmath.uni-linz.ac.at
Citation Information: Journal of Inverse and Ill-posed Problems. Volume 17, Issue 1, Pages 5–18, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: 10.1515/JIIP.2009.002, February 2009
We give a survey of results concerning the convergence and convergence rates and oracle inequalities for the quasi-optimality parameter choice for the most common regularization methods.
Key words.: Quasi-optimality criterion; convergence rates; oracle inequality
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