Fetching the paper…
Reading the bibliography…
We prove a Bernstein-von Mises theorem for a general class of high dimensional nonlinear Bayesian inverse problems in the vanishing noise limit.
Wahrscheinlichkeitsrechnung
R. von Mises · 1931
Earlier work this paper cites.
Discrete maximum principle for finite-difference operators
P. G. Ciarlet · 1970
Earlier work this paper cites.
An analysis of bayesian inference for nonparametric regression
C. Cox · 1993
Earlier work this paper cites.
Regularization of inverse problems
H. W. Engl, M. Hanke, and A. Neubauer · 1996
Earlier work this paper cites.
On the Bernstein-von Mises theorem with infinite-dimensional parameters
D. Freedman · 1999
Earlier work this paper cites.
Asymptotic normality of posterior distributions in high-dimensional linear models
S. Ghosal · 1999
Earlier work this paper cites.
Uniqueness for an elliptic inverse problem
I. Knowles · 1999
Earlier work this paper cites.
Numerical Partial Differential Equations: Concervation Laws and Elliptic Equations
J. W. Thomas · 1999
Earlier work this paper cites.
Asymptotic statistics
A. W. V. der Vaart · 2000
Earlier work this paper cites.
Asymptotic normality of posterior distributions for exponential families when the number of parameters tends to infinity
S. Ghosal · 2000
Earlier work this paper cites.
Asymptotic normality of semiparametric and nonparametric posterior distributions
X. Shen · 2002
Earlier work this paper cites.
Statistical and computational inverse problems
J. Kaipio and E. Somersalo · 2006
Earlier work this paper cites.
The bernstein–von mises theorem for the proportional hazard model
Y. Kim et al · 2006
Earlier work this paper cites.
A bernstein-von mises theorem for discrete probability distributions
S. Boucheron, E. Gassiat, et al · 2009
Cited alongside, same era.
Inverse diffusion theory of photoacoustics
G. Bal and G. Uhlmann · 2010
Cited alongside, same era.
Reference priors for exponential families with increasing dimension
B. Clarke, S. Ghosal, et al · 2010
Cited alongside, same era.
Inverse problems: a bayesian perspective
A. Stuart · 2010
Cited alongside, same era.
Large-scale inverse problems and quantification of uncertainty
L. Biegler, G. Biros, O. Ghattas, M. Heinkenschloss, D. Keyes, B. Mallick, L. Tenorio, B. van Bloemen Waanders, K. Willcox, and Y. Marzouk · 2011
Cited alongside, same era.
Bernstein-von mises theorems for gaussian regression with increasing number of regressors
D. Bontemps · 2011
Cited alongside, same era.
Reconstruction of coefficients in scalar second-order elliptic equations from knowledge of their solutions
G. Bal and G. Uhlmann · 2013
Later among the works it cites.
Nonparametric bernstein–von mises theorems in gaussian white noise
I. Castillo and R. Nickl · 2013
Later among the works it cites.
Analysis of finite difference schemes: for linear partial differential equations with generalized solutions
B. S. Jovanović and E. Süli · 2013
Later among the works it cites.
Bayesian recovery of the initial condition for the heat equation
B. T. Knapik, A. W. van der Vaart, and J. H. van Zanten · 2013
Later among the works it cites.
Bayesian inverse problems with non-conjugate priors
K. Ray · 2013
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Bayesian inverse problems with Gaussian priors
B. T. Knapik, A. W. van der Vaart, and J. H. van Zanten · 2011
Cited alongside, same era.
The semiparametric bernstein–von mises theorem
P. Bickel, B. Kleijn, et al · 2012
Cited alongside, same era.
A semiparametric bernstein–von mises theorem for gaussian process priors
I. Castillo · 2012
Cited alongside, same era.
Asymptotic methods in statistical decision theory
L. Le Cam · 2012
Cited alongside, same era.
Bernstein–von mises theorem for linear functionals of the density
V. Rivoirard, J. Rousseau, et al · 2012
Cited alongside, same era.
Posterior consistency of the Bayesian approach to linear ill-posed inverse problems
S. Agapiou, S. Larsson, and A. Stuart · 2013
Cited alongside, same era.
V. Spokoiny · 2013
Later among the works it cites.
Posterior consistency for Bayesian inverse problems through stability and regression results
S. J. Vollmer · 2013
Later among the works it cites.
Bayesian posterior contraction rates for linear severely ill-posed inverse problems
S. Agapiou, A. M. Stuart, and Y. X. Zhang · 2014
Later among the works it cites.
Posterior inference in curved exponential families under increasing dimensions
A. Belloni and V. Chernozhukov · 2014
Later among the works it cites.
On the bernstein–von mises phenomenon for nonparametric bayes procedures
I. Castillo and R. Nickl · 2014
Later among the works it cites.
Critical dimension in the semiparametric Bernstein–von Mises theorem
M. E. Panov and V. G. Spokoiny · 2014
Later among the works it cites.
A bernstein–von mises theorem for smooth functionals in semiparametric models
I. Castillo, J. Rousseau, et al · 2015
Later among the works it cites.
Gaussian approximations for probability measures on 𝐑 d \mathbf{R}^{d}
Y. Lu, A. M. Stuart, and H. Weber · 2016
Later among the works it cites.