Are Minimizers of the Onsager–Machlup Functional Strong Posterior Modes?

Maximum a posteriori estimators in ℓp are well-defined for diagonal Gaussian priors

(2023) Ilja Klebanov et al.   INVERSE PROBLEMS

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

(2022) Birzhan Ayanbayev et al.   INVERSE PROBLEMS

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

(2022) Birzhan Ayanbayev et al.   INVERSE PROBLEMS

Rates of contraction of posterior distributions based on p-exponential priors

(2021) Sergios Agapiou et al.   BERNOULLI

Bernstein--von Mises Theorems and Uncertainty Quantification for Linear Inverse Problems

(2020) Matteo Giordano et al.   SIAM-ASA Journal on Uncertainty Quantification

Bernstein–von Mises theorems for statistical inverse problems I: Schrödinger equation

(2020) Richard Nickl   JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY

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

(2018) Sergios Agapiou et al.   INVERSE PROBLEMS

Equivalence of weak and strong modes of measures on topological vector spaces

(2018) Han Cheng Lie et al.   INVERSE PROBLEMS

Maximuma posterioriprobability estimates in infinite-dimensional Bayesian inverse problems

(2015) T Helin et al.   INVERSE PROBLEMS

A stochastic convergence analysis for Tikhonov regularization with sparsity constraints

(2014) Daniel Gerth et al.   INVERSE PROBLEMS

MAP estimators and their consistency in Bayesian nonparametric inverse problems

(2013) M Dashti et al.   INVERSE PROBLEMS

A Semismooth Newton Method for $\mathrm{L}^1$ Data Fitting with Automatic Choice of Regularization Parameters and Noise Calibration

(2010) Christian Clason et al.   SIAM Journal on Imaging Sciences

Inverse problems: A Bayesian perspective

(2010) A. M. Stuart   ACTA NUMERICA

Discretization-invariant Bayesian inversion and Besov space priors

(2009) Samuli Siltanen et al.   Inverse Problems and Imaging

Nonparametric statistical inverse problems

(2008) L Cavalier   INVERSE PROBLEMS