New loss functions in Bayesian imaging

Haavard Rue*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

24 Scopus citations

Abstract

Unlike the development of more accurate prior distributions for use in Bayesian imaging, the design of more sensible estimators through loss functions has been neglected in the literature. We discuss the design of loss functions with a local structure that depend only on a binary misclassification vector. The proposed approach is similar to modeling with a Markov random field. The Bayes estimate is calculated in a two-step algorithm using Markov chain Monte Carlo and simulated annealing algorithms. We present simulation experiments with the Ising model, where the observations are corrupted with Gaussian and flip noise.

Original languageEnglish (US)
Pages (from-to)900-908
Number of pages9
JournalJournal of the American Statistical Association
Volume90
Issue number431
DOIs
StatePublished - Jan 1 1995

Keywords

  • Bayesian inference
  • Image reconstruction
  • Image restoration
  • Markov random field

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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