Journal
JOURNAL OF INVERSE AND ILL-POSED PROBLEMS
Volume 16, Issue 6, Pages 601-613Publisher
WALTER DE GRUYTER & CO
DOI: 10.1515/JIIP.2008.032
Keywords
Bayesion inversion theory; regularization; ill-posed problems
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Funding
- Austrian National Science Foundation FWF [SFB F1308]
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In this paper we derive convergence results for regularized solutions of linear inverse problems obtained by the Bayesian approach in the Ky Fan metric. We show that the convergence rate is order optimal in finite dimensional spaces. Moreover, we prove that order optimal rates can be obtained for weighted Bayesian solutions when the dimension goes to infinity.
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