An Order-Theoretic Perspective on Modes and Maximum A Posteriori Estimation in Bayesian Inverse Problems-Reference-Cited by-同舟云学术

An Order-Theoretic Perspective on Modes and Maximum A Posteriori Estimation in Bayesian Inverse Problems

Published:2023-10-20 Issue:4 Volume:11 Page:1195-1224
ISSN:2166-2525
Container-title:SIAM/ASA Journal on Uncertainty Quantification
language:en
Short-container-title:SIAM/ASA J. Uncertainty Quantification

Author:

Lambley Hefin¹^ORCID,Sullivan T. J.²^ORCID

Affiliation:

1. Mathematics Institute, University of Warwick, Coventry, CV4 7AL, United Kingdom.

2. Mathematics Institute and School of Engineering, University of Warwick, Coventry, CV4 7AL, United Kingdom, and Alan Turing Institute, 96 Euston Road, London, NW1 2DB, United Kingdom.

Funder

Deutsche Forschungsgemeinschaft

Engineering and Physical Sciences Research Council

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Statistics, Probability and Uncertainty,Modeling and Simulation,Statistics and Probability

Reference27 articles.

1. Sparsity-promoting and edge-preserving maximum a posteriori estimators in non-parametric Bayesian inverse problems

2. Γ -convergence of Onsager–Machlup functionals: I. With applications to maximum a posteriori estimation in Bayesian inverse problems

3. Γ-convergence of Onsager–Machlup functionals: II. Infinite product measures on Banach spaces

4. Nonlinear Potential Theory on Metric Spaces

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