Posterior contraction rates for the Bayesian approach to linear ill-posed inverse problems

Stochastic Processes and their Applications

Volumn 123, Issue 10, 2013, Pages 3828-3860

  Agapiou, Sergios ^a   Larsson, Stig ^b,c   Stuart, Andrew M ^a  

^a UNIVERSITY OF WARWICK   (United Kingdom)

^b CHALMERS UNIVERSITY OF TECHNOLOGY   (Sweden)

^c UNIVERSITY OF GOTHENBURG   (Sweden)

Author keywords

Gaussian prior; Inverse problems; Posterior consistency; Posterior contraction; Posterior distribution

Indexed keywords

GAUSSIAN PRIORS; ILL-POSED INVERSE PROBLEM; LINEAR INVERSE PROBLEMS; NONPARAMETRIC APPROACHES; PARTIAL DIFFERENTIAL EQUATIONS (PDE); POSTERIOR CONSISTENCY; POSTERIOR DISTRIBUTIONS; SEPARABLE HILBERT SPACE;

BAYESIAN NETWORKS; GAUSSIAN NOISE (ELECTRONIC); PARTIAL DIFFERENTIAL EQUATIONS;

INVERSE PROBLEMS;

EID: 84880165309     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spa.2013.05.001     Document Type: Article

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