MAP estimators for piecewise continuous inversion

DOI10.1088/0266-5611/32/10/105003zbMath1354.65112arXiv1509.03136OpenAlexW3103060992MaRDI QIDQ2832559

Matthew M. Dunlop, Andrew M. Stuart

Publication date: 11 November 2016

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.03136

zbMATH Keywords

inverse problemsgroundwater flowelectrical impedance tomographyBayesian inversiongeometric priorsMAP estimator

Mathematics Subject Classification ID

Numerical solution to inverse problems in abstract spaces (65J22)

Related Items (13)

The graph limit of the minimizer of the Onsager-Machlup functional and its computation ⋮ Infinite-dimensional Bayesian approach for inverse scattering problems of a fractional Helmholtz equation ⋮ Optimization based methods for partially observed chaotic systems ⋮ A Bayesian approach for consistent reconstruction of inclusions ⋮ Sparsity-promoting and edge-preserving maximum a posteriori estimators in non-parametric Bayesian inverse problems ⋮ Equivalence of weak and strong modes of measures on topological vector spaces ⋮ Posterior contraction for empirical Bayesian approach to inverse problems under non-diagonal assumption ⋮ Recursive linearization method for inverse medium scattering problems with complex mixture Gaussian error learning ⋮ Generalized Modes in Bayesian Inverse Problems ⋮ Variational Bayes' Method for Functions with Applications to Some Inverse Problems ⋮ Γ -convergence of Onsager–Machlup functionals: I. With applications to maximum a posteriori estimation in Bayesian inverse problems ⋮ Γ-convergence of Onsager–Machlup functionals: II. Infinite product measures on Banach spaces ⋮ Quasi-Monte Carlo and Multilevel Monte Carlo Methods for Computing Posterior Expectations in Elliptic Inverse Problems

This page was built for publication: MAP estimators for piecewise continuous inversion