WIAS Preprint No. 1474, (2009)
Parameter choice methods using minimization schemes
Authors
- Bauer, Frank
- Mathé, Peter
ORCID: 0000-0002-1208-1421
2010 Mathematics Subject Classification
- 65J22 65F22 62H12
Keywords
- Inverse Problems, Heuristic parameter choice, Minimization schemes
DOI
Abstract
In this paper we establish a generalized framework, which allows to prove convergenence and optimality of parameter choice schemes for inverse problems based on minimization in a generic way. We show that the well known quasi-optimality criterion falls in this class. Furthermore we present a new parameter choice method and prove its convergence by using this newly established tool.
Appeared in
- J. Complexity, 27 (2011) pp. 68--85.
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