Bayesian non-linear statistical inverse problems

DOI10.4171/zlam/30OpenAlexW4380360712MaRDI QIDQ6116625

Richard Nickl

Publication date: 18 July 2023

Published in: Zurich Lectures in Advanced Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zlam/30

zbMATH Keywords

inverse problemsMarkov chain Monte CarloBernstein-von Mises theoremBayesian inferencenonparametric inferencefrequentist inference

Mathematics Subject Classification ID

Computational methods for problems pertaining to statistics (62-08) Nonparametric regression and quantile regression (62G08) Asymptotic properties of nonparametric inference (62G20) Bayesian inference (62F15) Monte Carlo methods (65C05) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to statistics (62-01) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

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Stability estimates for the expected utility in Bayesian optimal experimental design ⋮ A Bayesian approach for consistent reconstruction of inclusions

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