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Posterior Consistency for Bayesian Inverse Problems through Stability
  and Regression Results
v1v2v3 (latest)

Posterior Consistency for Bayesian Inverse Problems through Stability and Regression Results

17 February 2013
Sebastian J. Vollmer
ArXiv (abs)PDFHTML

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

30 / 30 papers shown
On the Frequentist Coverage of Bayes Posteriors in Nonlinear Inverse
  Problems
On the Frequentist Coverage of Bayes Posteriors in Nonlinear Inverse Problems
You-Hyun Baek
Katerina Papagiannouli
Sayan Mukherjee
188
0
0
19 Jul 2024
The Bayesian approach to inverse Robin problems
The Bayesian approach to inverse Robin problems
A. K. Rasmussen
Fanny Seizilles
Mark Girolami
Ieva Kazlauskaite
176
7
0
29 Nov 2023
A Bayesian approach for consistent reconstruction of inclusions
A Bayesian approach for consistent reconstruction of inclusionsInverse Problems (IP), 2023
B. Afkham
K. Knudsen
A. K. Rasmussen
T. Tarvainen
169
4
0
25 Aug 2023
Spatiotemporal Besov Priors for Bayesian Inverse Problems
Spatiotemporal Besov Priors for Bayesian Inverse ProblemsJournal of the American Statistical Association (JASA), 2023
Shiwei Lan
M. Pasha
Shuyi Li
Weining Shen
332
11
0
28 Jun 2023
Strong maximum a posteriori estimation in Banach spaces with Gaussian
  priors
Strong maximum a posteriori estimation in Banach spaces with Gaussian priorsInverse Problems (IP), 2023
Hefin Lambley
298
7
0
26 Apr 2023
On log-concave approximations of high-dimensional posterior measures and
  stability properties in non-linear inverse problems
On log-concave approximations of high-dimensional posterior measures and stability properties in non-linear inverse problemsAnnales De L Institut Henri Poincare-probabilites Et Statistiques (IHPES), 2021
Jan Bohr
Richard Nickl
319
23
0
17 May 2021
Consistency of Bayesian inference with Gaussian process priors for a
  parabolic inverse problem
Consistency of Bayesian inference with Gaussian process priors for a parabolic inverse problemInverse Problems (IP), 2021
Hanne Kekkonen
252
20
0
24 Mar 2021
Stabilities of Shape Identification Inverse Problems in a Bayesian
  Framework
Stabilities of Shape Identification Inverse Problems in a Bayesian Framework
Hajime Kawakami
100
5
0
18 Feb 2020
Consistency of Bayesian inference with Gaussian process priors in an
  elliptic inverse problem
Consistency of Bayesian inference with Gaussian process priors in an elliptic inverse problemInverse Problems (IP), 2019
M. Giordano
Richard Nickl
349
71
0
16 Oct 2019
Posterior Convergence Analysis of $α$-Stable Sheets
Posterior Convergence Analysis of ααα-Stable Sheets
Neil K. Chada
Sari Lasanen
L. Roininen
404
0
0
06 Jul 2019
On statistical Calderón problems
On statistical Calderón problems
Kweku Abraham
Richard Nickl
482
20
0
08 Jun 2019
Consistent Inversion of Noisy Non-Abelian X-Ray Transforms
Consistent Inversion of Noisy Non-Abelian X-Ray TransformsCommunications on Pure and Applied Mathematics (CPAM), 2019
F. Monard
Richard Nickl
G. Paternain
341
69
0
02 May 2019
Bernstein-von Mises theorems and uncertainty quantification for linear
  inverse problems
Bernstein-von Mises theorems and uncertainty quantification for linear inverse problems
M. Giordano
Hanne Kekkonen
536
24
0
09 Nov 2018
Posterior Convergence of Gaussian and General Stochastic Process
  Regression Under Possible Misspecifications
Posterior Convergence of Gaussian and General Stochastic Process Regression Under Possible Misspecifications
D. Chatterjee
S. Bhattacharya
446
3
0
24 Oct 2018
Posterior contraction for empirical Bayesian approach to inverse
  problems under non-diagonal assumption
Posterior contraction for empirical Bayesian approach to inverse problems under non-diagonal assumption
Junxiong Jia
Jigen Peng
Jinghuai Gao
386
7
0
04 Oct 2018
Convergence rates for Penalised Least Squares Estimators in
  PDE-constrained regression problems
Convergence rates for Penalised Least Squares Estimators in PDE-constrained regression problems
Richard Nickl
Sara van de Geer
Sven Wang
363
64
0
24 Sep 2018
On Bayesian Consistency for Flows Observed Through a Passive Scalar
On Bayesian Consistency for Flows Observed Through a Passive Scalar
J. Borggaard
N. Glatt-Holtz
J. Krometis
236
5
0
13 Sep 2018
Covariance constraints for stochastic inverse problems of computer
  models
Covariance constraints for stochastic inverse problems of computer models
Nicolas Bousquet
Mélanie Blazère
Thomas Cerbelaud
361
1
0
09 Jun 2018
Bayesian inverse problems with unknown operators
Bayesian inverse problems with unknown operators
Mathias Trabs
216
12
0
30 Jan 2018
A Statistical Perspective on Inverse and Inverse Regression Problems
A Statistical Perspective on Inverse and Inverse Regression Problems
D. Chatterjee
S. Bhattacharya
112
3
0
21 Jul 2017
Bernstein - von Mises theorems for statistical inverse problems I:
  Schrödinger equation
Bernstein - von Mises theorems for statistical inverse problems I: Schrödinger equation
Richard Nickl
430
91
0
06 Jul 2017
On the Bernstein-Von Mises Theorem for High Dimensional Nonlinear
  Bayesian Inverse Problems
On the Bernstein-Von Mises Theorem for High Dimensional Nonlinear Bayesian Inverse Problems
Yulong Lu
486
17
0
01 Jun 2017
Sparsity-promoting and edge-preserving maximum a posteriori estimators
  in non-parametric Bayesian inverse problems
Sparsity-promoting and edge-preserving maximum a posteriori estimators in non-parametric Bayesian inverse problems
S. Agapiou
Martin Burger
Masoumeh Dashti
T. Helin
253
48
0
09 May 2017
The Bayesian Formulation and Well-Posedness of Fractional Elliptic
  Inverse Problems
The Bayesian Formulation and Well-Posedness of Fractional Elliptic Inverse Problems
Nicolas García Trillos
D. Sanz-Alonso
207
29
0
16 Nov 2016
Probabilistic Numerical Methods for Partial Differential Equations and
  Bayesian Inverse Problems
Probabilistic Numerical Methods for Partial Differential Equations and Bayesian Inverse Problems
Jon Cockayne
Chris J. Oates
T. Sullivan
Mark Girolami
372
46
0
25 May 2016
Large Noise in Variational Regularization
Large Noise in Variational Regularization
Martin Burger
T. Helin
Hanne Kekkonen
345
16
0
01 Feb 2016
Importance Sampling: Intrinsic Dimension and Computational Cost
Importance Sampling: Intrinsic Dimension and Computational Cost
S. Agapiou
O. Papaspiliopoulos
D. Sanz-Alonso
Andrew M. Stuart
424
184
0
19 Nov 2015
Posterior consistency and convergence rates for Bayesian inversion with
  hypoelliptic operators
Posterior consistency and convergence rates for Bayesian inversion with hypoelliptic operators
Hanne Kekkonen
Matti Lassas
S. Siltanen
339
23
0
07 Jul 2015
Sequential Monte Carlo Methods for Bayesian Elliptic Inverse Problems
Sequential Monte Carlo Methods for Bayesian Elliptic Inverse ProblemsStatistics and computing (Stat Comput), 2014
A. Beskos
Ajay Jasra
Ege A. Muzaffer
Andrew M. Stuart
208
79
0
15 Dec 2014
A general approach to posterior contraction in nonparametric inverse
  problems
A general approach to posterior contraction in nonparametric inverse problems
B. Knapik
J. Salomond
MedIm
532
33
0
01 Jul 2014
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