Analysis of the Gibbs sampler for hierarchical inverse problems

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Analysis of the Gibbs sampler for hierarchical inverse problems

5 November 2013

Johnathan M. Bardsley

O. Papaspiliopoulos

Andrew M. Stuart

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Papers citing "Analysis of the Gibbs sampler for hierarchical inverse problems"

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Title
A Bayesian approach with Gaussian priors to the inverse problem of source identification in elliptic PDEs Matteo Giordano 43 0 0 29 Feb 2024
Adaptive inference over Besov spaces in the white noise model using $p$ -exponential priors S. Agapiou Aimilia Savva 117 4 0 13 Sep 2022
A Variational Inference Approach to Inverse Problems with Gamma Hyperpriors Shivendra Agrawal Hwanwoo Kim D. Sanz-Alonso A. Strang 63 10 0 26 Nov 2021
Convergence Rates for Learning Linear Operators from Noisy Data Maarten V. de Hoop Nikola B. Kovachki Nicholas H. Nelsen Andrew M. Stuart 171 58 0 27 Aug 2021
A hybrid Gibbs sampler for edge-preserving tomographic reconstruction with uncertain view angles Felipe Uribe Johnathan M. Bardsley Yiqiu Dong P. Hansen N. A. B. Riis 50 13 0 14 Apr 2021
Consistency analysis of bilevel data-driven learning in inverse problems Neil K. Chada C. Schillings Xin T. Tong Simon Weissmann 58 8 0 06 Jul 2020
Optimization-Based MCMC Methods for Nonlinear Hierarchical Statistical Inverse Problems Johnathan M. Bardsley Tiangang Cui 41 1 0 15 Feb 2020
Hyperparameter Estimation in Bayesian MAP Estimation: Parameterizations and Consistency Matthew M. Dunlop T. Helin Andrew M. Stuart 72 18 0 10 May 2019
Efficient Marginalization-based MCMC Methods for Hierarchical Bayesian Inverse Problems A. Saibaba Johnathan M. Bardsley D. Brown A. Alexanderian 36 13 0 02 Nov 2018
Dimension-Robust MCMC in Bayesian Inverse Problems Victor Chen Matthew M. Dunlop O. Papaspiliopoulos Andrew M. Stuart 65 36 0 09 Mar 2018
Sampling strategies for fast updating of Gaussian Markov random fields D. Brown C. McMahan Stella Watson Self 84 10 0 17 Feb 2017
Tuning of MCMC with Langevin, Hamiltonian, and other stochastic autoregressive proposals R. Norton C. Fox 36 3 0 03 Oct 2016
Low Rank Independence Samplers in Bayesian Inverse Problems D. Brown A. Saibaba Sarah Vallélian 78 4 0 22 Sep 2016
Well-posed Bayesian Inverse Problems: Priors with Exponential Tails Bamdad Hosseini N. Nigam 66 46 0 09 Apr 2016
Fast Gibbs sampling for high-dimensional Bayesian inversion F. Lucka 55 16 0 27 Feb 2016
Fast sampling in a linear-Gaussian inverse problem C. Fox R. Norton 68 35 0 06 Jul 2015
Gaussian process methods for one-dimensional diffusions: optimal rates and adaptation J. van Waaij Harry Van Zanten 114 37 0 01 Jun 2015
Unbiased Monte Carlo: posterior estimation for intractable/infinite-dimensional models S. Agapiou Gareth O. Roberts Sebastian J. Vollmer 71 13 0 27 Nov 2014
Preconditioning the prior to overcome saturation in Bayesian inverse problems S. Agapiou Peter Mathé 58 2 0 23 Sep 2014