Posterior Consistency for Bayesian Inverse Problems through Stability and Regression Results

17 February 2013

Papers citing "Posterior Consistency for Bayesian Inverse Problems through Stability and Regression Results"

14 / 14 papers shown

Title
The Bayesian approach to inverse Robin problems A. K. Rasmussen Fanny Seizilles Mark Girolami Ieva Kazlauskaite 14 1 0 29 Nov 2023
Strong maximum a posteriori estimation in Banach spaces with Gaussian priors Hefin Lambley 16 5 0 26 Apr 2023
On log-concave approximations of high-dimensional posterior measures and stability properties in non-linear inverse problems Jan Bohr Richard Nickl 13 17 0 17 May 2021
Stabilities of Shape Identification Inverse Problems in a Bayesian Framework Hajime Kawakami 6 5 0 18 Feb 2020
Convergence rates for Penalised Least Squares Estimators in PDE-constrained regression problems Richard Nickl Sara van de Geer Sven Wang 15 59 0 24 Sep 2018
Bayesian inverse problems with unknown operators Mathias Trabs 29 12 0 30 Jan 2018
On the Bernstein-Von Mises Theorem for High Dimensional Nonlinear Bayesian Inverse Problems Yulong Lu 29 16 0 01 Jun 2017
Sparsity-promoting and edge-preserving maximum a posteriori estimators in non-parametric Bayesian inverse problems S. Agapiou Martin Burger Masoumeh Dashti T. Helin 11 47 0 09 May 2017
The Bayesian Formulation and Well-Posedness of Fractional Elliptic Inverse Problems Nicolas García Trillos D. Sanz-Alonso 42 24 0 16 Nov 2016
Probabilistic Numerical Methods for Partial Differential Equations and Bayesian Inverse Problems Jon Cockayne Chris J. Oates T. Sullivan Mark Girolami 32 45 0 25 May 2016
Large Noise in Variational Regularization Martin Burger T. Helin Hanne Kekkonen 25 15 0 01 Feb 2016
Posterior consistency and convergence rates for Bayesian inversion with hypoelliptic operators Hanne Kekkonen Matti Lassas S. Siltanen 19 22 0 07 Jul 2015
Sequential Monte Carlo Methods for Bayesian Elliptic Inverse Problems A. Beskos Ajay Jasra Ege A. Muzaffer Andrew M. Stuart 26 72 0 15 Dec 2014
A general approach to posterior contraction in nonparametric inverse problems B. Knapik J. Salomond MedIm 31 32 0 01 Jul 2014