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Statistical guarantees for Bayesian uncertainty quantification in
  non-linear inverse problems with Gaussian process priors
v1v2 (latest)

Statistical guarantees for Bayesian uncertainty quantification in non-linear inverse problems with Gaussian process priors

Annals of Statistics (Ann. Stat.), 2020
31 July 2020
F. Monard
Richard Nickl
G. Paternain
ArXiv (abs)PDFHTML

Papers citing "Statistical guarantees for Bayesian uncertainty quantification in non-linear inverse problems with Gaussian process priors"

21 / 21 papers shown
Valid Credible Ellipsoids for Linear Functionals by a Renormalized
  Bernstein-von Mises Theorem
Valid Credible Ellipsoids for Linear Functionals by a Renormalized Bernstein-von Mises Theorem
Gustav Rømer
229
0
0
17 Sep 2024
Convergence Rates for the Maximum A Posteriori Estimator in
  PDE-Regression Models with Random Design
Convergence Rates for the Maximum A Posteriori Estimator in PDE-Regression Models with Random DesignSIAM/ASA Journal on Uncertainty Quantification (JUQ), 2024
Maximilian Siebel
339
5
0
05 Sep 2024
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
190
0
0
19 Jul 2024
On the estimation rate of Bayesian PINN for inverse problems
On the estimation rate of Bayesian PINN for inverse problems
Yi Sun
Debarghya Mukherjee
Yves Atchadé
PINN
319
1
0
21 Jun 2024
Taming Score-Based Diffusion Priors for Infinite-Dimensional Nonlinear
  Inverse Problems
Taming Score-Based Diffusion Priors for Infinite-Dimensional Nonlinear Inverse Problems
Lorenzo Baldassari
Ali Siahkoohi
Josselin Garnier
K. Sølna
Maarten V. de Hoop
DiffM
385
6
0
24 May 2024
Deep Gaussian Process Priors for Bayesian Inference in Nonlinear Inverse
  Problems
Deep Gaussian Process Priors for Bayesian Inference in Nonlinear Inverse Problems
Kweku Abraham
Neil Deo
200
5
0
21 Dec 2023
Stability and Statistical Inversion of Travel time Tomography
Stability and Statistical Inversion of Travel time TomographyInverse Problems (IP), 2023
Ashwin Tarikere
Hanming Zhou
269
1
0
22 Sep 2023
Misspecified Bernstein-Von Mises theorem for hierarchical models
Misspecified Bernstein-Von Mises theorem for hierarchical models
Geerten Koers
Botond Szabó
A. van der Vaart
266
3
0
15 Aug 2023
On posterior consistency of data assimilation with Gaussian process
  priors: the 2D Navier-Stokes equations
On posterior consistency of data assimilation with Gaussian process priors: the 2D Navier-Stokes equationsAnnals of Statistics (Ann. Stat.), 2023
Richard Nickl
E. Titi
351
14
0
16 Jul 2023
Consistent inference for diffusions from low frequency measurements
Consistent inference for diffusions from low frequency measurementsAnnals of Statistics (Ann. Stat.), 2022
Richard Nickl
401
10
0
24 Oct 2022
On free energy barriers in Gaussian priors and failure of cold start
  MCMC for high-dimensional unimodal distributions
On free energy barriers in Gaussian priors and failure of cold start MCMC for high-dimensional unimodal distributions
Afonso S. Bandeira
Antoine Maillard
Richard Nickl
Sven Wang
388
18
0
05 Sep 2022
A Bernstein--von-Mises theorem for the Calderón problem with piecewise
  constant conductivities
A Bernstein--von-Mises theorem for the Calderón problem with piecewise constant conductivitiesInverse Problems (IP), 2022
Jan Bohr
172
4
0
16 Jun 2022
Uncertainty Quantification for nonparametric regression using Empirical
  Bayesian neural networks
Uncertainty Quantification for nonparametric regression using Empirical Bayesian neural networks
Stefan Franssen
Botond Szabó
BDLUQCV
294
5
0
27 Apr 2022
Gaussian Process Regression in the Flat Limit
Gaussian Process Regression in the Flat LimitAnnals of Statistics (Ann. Stat.), 2022
Simon Barthelmé
P. Amblard
Nicolas M Tremblay
K. Usevich
GP
421
6
0
04 Jan 2022
Minimax detection of localized signals in statistical inverse problems
Minimax detection of localized signals in statistical inverse problems
Markus Pohlmann
Frank Werner
Axel Munk
393
1
0
10 Dec 2021
Variational Bayesian Approximation of Inverse Problems using Sparse
  Precision Matrices
Variational Bayesian Approximation of Inverse Problems using Sparse Precision MatricesComputer Methods in Applied Mechanics and Engineering (CMAME), 2021
Jan Povala
Ieva Kazlauskaite
Eky Febrianto
F. Cirak
Mark Girolami
339
32
0
22 Oct 2021
Uncertainty quantification in the Bradley-Terry-Luce model
Uncertainty quantification in the Bradley-Terry-Luce modelInformation and Inference A Journal of the IMA (JIII), 2021
Chao Gao
Yandi Shen
A. Zhang
263
38
0
08 Oct 2021
On some information-theoretic aspects of non-linear statistical inverse
  problems
On some information-theoretic aspects of non-linear statistical inverse problems
Richard Nickl
G. Paternain
278
12
0
20 Jul 2021
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
321
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
Deep learning architectures for nonlinear operator functions and
  nonlinear inverse problems
Deep learning architectures for nonlinear operator functions and nonlinear inverse problemsMathematical Statistics and Learning (MSL), 2019
Maarten V. de Hoop
Matti Lassas
C. Wong
396
31
0
23 Dec 2019
1
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