Bayesian inverse problems with Gaussian priors

14 March 2011

Papers citing "Bayesian inverse problems with Gaussian priors"

41 / 41 papers shown

Title
Spectral Representations for Accurate Causal Uncertainty Quantification with Gaussian Processes Hugh Dance Peter Orbanz Arthur Gretton CML 37 1 0 18 Oct 2024
Hyperparameter Optimization for Randomized Algorithms: A Case Study on Random Features Oliver R. A. Dunbar Nicholas H. Nelsen Maya Mutic 35 5 0 30 Jun 2024
A Bayesian approach with Gaussian priors to the inverse problem of source identification in elliptic PDEs Matteo Giordano 27 0 0 29 Feb 2024
Strong maximum a posteriori estimation in Banach spaces with Gaussian priors Hefin Lambley 16 5 0 26 Apr 2023
Optimal Regularization for a Data Source Oscar Leong Eliza O'Reilly Yong Sheng Soh V. Chandrasekaran 25 4 0 27 Dec 2022
Uncertainty quantification for sparse spectral variational approximations in Gaussian process regression D. Nieman Botond Szabó Harry Van Zanten 39 5 0 21 Dec 2022
Fast Instrument Learning with Faster Rates Ziyu Wang Yuhao Zhou Jun Zhu 29 3 0 22 May 2022
Optimal recovery and uncertainty quantification for distributed Gaussian process regression Amine Hadji Tammo Hesselink Botond Szabó 33 3 0 06 May 2022
Convergence Rates for Learning Linear Operators from Noisy Data Maarten V. de Hoop Nikola B. Kovachki Nicholas H. Nelsen Andrew M. Stuart 21 54 0 27 Aug 2021
Statistical guarantees for Bayesian uncertainty quantification in non-linear inverse problems with Gaussian process priors F. Monard Richard Nickl G. Paternain 25 35 0 31 Jul 2020
Consistency of Empirical Bayes And Kernel Flow For Hierarchical Parameter Estimation Yifan Chen H. Owhadi Andrew M. Stuart 25 31 0 22 May 2020
Posterior contraction rates for non-parametric state and drift estimation Sebastian Reich P. Rozdeba 21 5 0 20 Mar 2020
Manifold lifting: scaling MCMC to the vanishing noise regime K. Au Matthew M. Graham Alexandre Hoang Thiery 17 9 0 09 Mar 2020
Gaussian Processes with Errors in Variables: Theory and Computation Shuang Zhou D. Pati Tianying Wang Yun Yang R. Carroll 27 3 0 14 Oct 2019
Nonparametric statistical inference for drift vector fields of multi-dimensional diffusions Richard Nickl Kolyan Ray 25 51 0 03 Oct 2018
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
Efficient Nonparametric Bayesian Inference For X-Ray Transforms F. Monard Richard Nickl G. Paternain 16 57 0 21 Aug 2017
Frequentist coverage and sup-norm convergence rate in Gaussian process regression Yun Yang A. Bhattacharya D. Pati 11 53 0 16 Aug 2017
On the Bernstein-Von Mises Theorem for High Dimensional Nonlinear Bayesian Inverse Problems Yulong Lu 29 16 0 01 Jun 2017
Frequentist Consistency of Variational Bayes Yixin Wang David M. Blei BDL 28 204 0 09 May 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
Adaptive nonparametric drift estimation for diffusion processes using Faber-Schauder expansions Frank van der Meulen Moritz Schauer J. van Waaij 16 11 0 15 Dec 2016
Multiscale scanning in inverse problems K. Proksch Frank Werner Axel Munk 32 31 0 14 Nov 2016
Asymptotic frequentist coverage properties of Bayesian credible sets for sieve priors Judith Rousseau Botond Szabó 24 22 0 16 Sep 2016
Large Noise in Variational Regularization Martin Burger T. Helin Hanne Kekkonen 25 15 0 01 Feb 2016
Regularization and Bayesian Learning in Dynamical Systems: Past, Present and Future A. Chiuso 38 56 0 04 Nov 2015
Posterior consistency and convergence rates for Bayesian inversion with hypoelliptic operators Hanne Kekkonen Matti Lassas S. Siltanen 19 22 0 07 Jul 2015
Adaptive Bayesian credible sets in regression with a Gaussian process prior S. Sniekers A. van der Vaart 19 46 0 29 Apr 2015
Asymptotic behaviour of the empirical Bayes posteriors associated to maximum marginal likelihood estimator Judith Rousseau Botond Szabó 34 56 0 19 Apr 2015
Adaptive Bayesian estimation in indirect Gaussian sequence space models Jan Johannes Anna Simoni R. Schenk 35 4 0 01 Feb 2015
Adaptive empirical Bayesian smoothing splines Paulo Serra Tatyana Krivobokova 23 21 0 25 Nov 2014
Gaussian Approximation of General Nonparametric Posterior Distributions Zuofeng Shang Guang Cheng 36 4 0 13 Nov 2014
A general approach to posterior contraction in nonparametric inverse problems B. Knapik J. Salomond MedIm 31 32 0 01 Jul 2014
Posterior concentration rates for empirical Bayes procedures, with applications to Dirichlet Process mixtures S. Donnet Vincent Rivoirard Judith Rousseau Catia Scricciolo 42 41 0 17 Jun 2014
Frequentist coverage of adaptive nonparametric Bayesian credible sets Botond Szabó Van der Vaart V. Zanten 33 159 0 16 Oct 2013
A Bernstein-von Mises theorem for smooth functionals in semiparametric models I. Castillo Judith Rousseau 42 116 0 20 May 2013
Bayesian Compressed Regression Rajarshi Guhaniyogi David B. Dunson 49 73 0 04 Mar 2013
Posterior Consistency for Bayesian Inverse Problems through Stability and Regression Results Sebastian J. Vollmer 36 55 0 17 Feb 2013
Bayesian inverse problems with non-conjugate priors Kolyan Ray 61 85 0 27 Sep 2012
Posterior Contraction Rates for the Bayesian Approach to Linear Ill-Posed Inverse Problems S. Agapiou S. Larsson Andrew M. Stuart 58 93 0 26 Mar 2012