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Bernstein - von Mises theorems for statistical inverse problems I:
  Schrödinger equation
v1v2v3 (latest)

Bernstein - von Mises theorems for statistical inverse problems I: Schrödinger equation

6 July 2017
Richard Nickl
ArXiv (abs)PDFHTML

Papers citing "Bernstein - von Mises theorems for statistical inverse problems I: Schrödinger equation"

50 / 54 papers shown
Wavenumber-Explicit Well-Posedness of Bayesian Shape Inversion in
  Acoustic Scattering
Wavenumber-Explicit Well-Posedness of Bayesian Shape Inversion in Acoustic Scattering
Safiere Kuijpers
Laura Scarabosio
90
2
0
30 Oct 2024
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
131
0
0
17 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
152
0
0
19 Jul 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
333
3
0
24 May 2024
Bayesian Nonparametric Inference in McKean-Vlasov models
Bayesian Nonparametric Inference in McKean-Vlasov models
Richard Nickl
G. Pavliotis
Kolyan Ray
167
14
0
25 Apr 2024
Early Stopping for Ensemble Kalman-Bucy Inversion
Early Stopping for Ensemble Kalman-Bucy Inversion
Maia Tienstra
132
2
0
27 Mar 2024
Maximum a posteriori testing in statistical inverse problems
Maximum a posteriori testing in statistical inverse problems
Remo Kretschmann
Frank Werner
266
0
0
01 Feb 2024
Polynomial rates via deconvolution for nonparametric estimation in
  McKean-Vlasov SDEs
Polynomial rates via deconvolution for nonparametric estimation in McKean-Vlasov SDEsProbability theory and related fields (PTRF), 2024
Chiara Amorino
Denis Belomestny
Vytaut.e Pilipauskait.e
M. Podolskij
Shi-Yuan Zhou
207
16
0
09 Jan 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
147
5
0
21 Dec 2023
A statistical perspective on algorithm unrolling models for inverse
  problems
A statistical perspective on algorithm unrolling models for inverse problems
Yves Atchadé
Xinru Liu
Qiuyun Zhu
179
1
0
10 Nov 2023
Stability and Statistical Inversion of Travel time Tomography
Stability and Statistical Inversion of Travel time TomographyInverse Problems (IP), 2023
Ashwin Tarikere
Hanming Zhou
206
1
0
22 Sep 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
136
3
0
25 Aug 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
186
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
213
12
0
16 Jul 2023
Optimal regularized hypothesis testing in statistical inverse problems
Optimal regularized hypothesis testing in statistical inverse problemsInverse Problems (IP), 2022
Remo Kretschmann
D. Wachsmuth
Frank Werner
287
3
0
25 Dec 2022
Are minimizers of the Onsager-Machlup functional strong posterior modes?
Are minimizers of the Onsager-Machlup functional strong posterior modes?
Remo Kretschmann
340
1
0
08 Dec 2022
Donsker Theorems for Occupation Measures of Multi-Dimensional Periodic
  Diffusions
Donsker Theorems for Occupation Measures of Multi-Dimensional Periodic DiffusionsElectronic Communications in Probability (ECP), 2022
N. Deo
118
0
0
15 Nov 2022
Consistent inference for diffusions from low frequency measurements
Consistent inference for diffusions from low frequency measurementsAnnals of Statistics (Ann. Stat.), 2022
Richard Nickl
308
10
0
24 Oct 2022
Adaptive inference over Besov spaces in the white noise model using
  $p$-exponential priors
Adaptive inference over Besov spaces in the white noise model using ppp-exponential priors
S. Agapiou
Aimilia Savva
342
6
0
13 Sep 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
326
16
0
05 Sep 2022
Polynomial time guarantees for sampling based posterior inference in
  high-dimensional generalised linear models
Polynomial time guarantees for sampling based posterior inference in high-dimensional generalised linear models
R. Altmeyer
235
8
0
28 Aug 2022
Parameter estimation of discretely observed interacting particle systems
Parameter estimation of discretely observed interacting particle systemsStochastic Processes and their Applications (SPA), 2022
Chiara Amorino
A. Heidari
Vytaut.e Pilipauskait.e
M. Podolskij
227
33
0
25 Aug 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
139
3
0
16 Jun 2022
Dimension free non-asymptotic bounds on the accuracy of high dimensional
  Laplace approximation
Dimension free non-asymptotic bounds on the accuracy of high dimensional Laplace approximation
V. Spokoiny
276
23
0
23 Apr 2022
Laplace priors and spatial inhomogeneity in Bayesian inverse problems
Laplace priors and spatial inhomogeneity in Bayesian inverse problems
S. Agapiou
Sven Wang
291
20
0
10 Dec 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
202
11
0
20 Jul 2021
Designing truncated priors for direct and inverse Bayesian problems
Designing truncated priors for direct and inverse Bayesian problemsElectronic Journal of Statistics (EJS), 2021
S. Agapiou
Peter Mathé
311
5
0
21 May 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
252
21
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
171
16
0
24 Mar 2021
Non-asymptotic error estimates for the Laplace approximation in Bayesian
  inverse problems
Non-asymptotic error estimates for the Laplace approximation in Bayesian inverse problemsNumerische Mathematik (Numer. Math.), 2020
T. Helin
Remo Kretschmann
241
20
0
11 Dec 2020
Nonparametric estimation for interacting particle systems :
  McKean-Vlasov models
Nonparametric estimation for interacting particle systems : McKean-Vlasov models
Laetitia Della Maestra
M. Hoffmann
224
56
0
07 Nov 2020
On polynomial-time computation of high-dimensional posterior measures by
  Langevin-type algorithms
On polynomial-time computation of high-dimensional posterior measures by Langevin-type algorithms
Richard Nickl
Sven Wang
227
47
0
11 Sep 2020
On the Bernstein-von Mises theorem for the Dirichlet process
On the Bernstein-von Mises theorem for the Dirichlet process
Kolyan Ray
A. van der Vaart
254
9
0
03 Aug 2020
Statistical guarantees for Bayesian uncertainty quantification in
  non-linear inverse problems with Gaussian process priors
Statistical guarantees for Bayesian uncertainty quantification in non-linear inverse problems with Gaussian process priorsAnnals of Statistics (Ann. Stat.), 2020
F. Monard
Richard Nickl
G. Paternain
233
42
0
31 Jul 2020
Multiscale Bayesian Survival Analysis
Multiscale Bayesian Survival AnalysisAnnals of Statistics (Ann. Stat.), 2020
I. Castillo
S. V. D. Pas
278
8
0
06 May 2020
Bayesian inference for nonlinear inverse problems
Bayesian inference for nonlinear inverse problems
V. Spokoiny
221
7
0
29 Dec 2019
Spike and Slab Pólya tree posterior distributions: adaptive inference
Spike and Slab Pólya tree posterior distributions: adaptive inference
I. Castillo
Romain Mismer
304
2
0
27 Nov 2019
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
305
66
0
16 Oct 2019
On statistical Calderón problems
On statistical Calderón problems
Kweku Abraham
Richard Nickl
393
19
0
08 Jun 2019
Hyperparameter Estimation in Bayesian MAP Estimation: Parameterizations
  and Consistency
Hyperparameter Estimation in Bayesian MAP Estimation: Parameterizations and ConsistencySMAI Journal of Computational Mathematics (SMAI-JCM), 2019
Matthew M. Dunlop
T. Helin
Andrew M. Stuart
243
23
0
10 May 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
258
65
0
02 May 2019
On the Convergence of the Laplace Approximation and
  Noise-Level-Robustness of Laplace-based Monte Carlo Methods for Bayesian
  Inverse Problems
On the Convergence of the Laplace Approximation and Noise-Level-Robustness of Laplace-based Monte Carlo Methods for Bayesian Inverse Problems
C. Schillings
Björn Sprungk
Philipp Wacker
321
70
0
13 Jan 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
461
21
0
09 Nov 2018
Nonparametric statistical inference for drift vector fields of
  multi-dimensional diffusions
Nonparametric statistical inference for drift vector fields of multi-dimensional diffusions
Richard Nickl
Kolyan Ray
269
56
0
03 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
319
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
211
5
0
13 Sep 2018
Spectral thresholding for the estimation of Markov chain transition
  operators
Spectral thresholding for the estimation of Markov chain transition operators
Matthias Loffler
A. Picard
386
6
0
24 Aug 2018
On frequentist coverage errors of Bayesian credible sets in moderately
  high dimensions
On frequentist coverage errors of Bayesian credible sets in moderately high dimensions
Keisuke Yano
Kengo Kato
250
6
0
09 Mar 2018
Bayesian linear inverse problems in regularity scales
Bayesian linear inverse problems in regularity scales
S. Gugushvili
A. van der Vaart
D. Yan
161
19
0
25 Feb 2018
Nonparametric Bayesian posterior contraction rates for scalar diffusions
  with high-frequency data
Nonparametric Bayesian posterior contraction rates for scalar diffusions with high-frequency data
Kweku Abraham
222
20
0
15 Feb 2018
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