Convergence results for the Bayesian inversion theory

DOI10.1515/JIIP.2008.032zbMath1284.60012MaRDI QIDQ3537418

Hanna K. Pikkarainen, Andreas Neubauer

Publication date: 6 November 2008

Published in: Journal of Inverse and Ill-posed Problems (Search for Journal in Brave)

zbMATH Keywords

regularizationill-posed problemsBayesion inversion theory

Mathematics Subject Classification ID

Bayesian problems; characterization of Bayes procedures (62C10) Convergence of probability measures (60B10) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)

Related Items (6)

Probabilistic regularization of Fredholm integral equations of the first kind ⋮ On the lifting of deterministic convergence rates for inverse problems with stochastic noise ⋮ A Strongly Convergent Numerical Scheme from Ensemble Kalman Inversion ⋮ Wavelet-based priors accelerate maximum-a-posteriori optimization in Bayesian inverse problems ⋮ Modern regularization methods for inverse problems ⋮ Solving inverse problems using data-driven models

Cites Work

• Träger des Gaussschen Maßes im Hilbertraum
• Convergence rates in the Prokhorov metric for assessing uncertainty in ill-posed problems
• Convergence rate for the Bayesian approach to linear inverse problems

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