Statistical performance analysis by loopy belief propagation in Bayesian image modeling

The mathematical structures of loopy belief propagation are reviewed for Bayesian image modeling from the standpoint of statistical mechanical informatics. We propose some schemes for evaluating the statistical performance of probabilistic binary image restoration. The schemes are constructed by mea...

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Published in:Journal of physics. Conference series 2010-06, Vol.233 (1), p.012013
Main Authors: Tanaka, Kazuyuki, Kataoka, Shun, Yasuda, Muneki
Format: Article
Language:English
Subjects:
Algorithms
Bayesian analysis
Image restoration
Performance evaluation
Physics
Propagation
Statistical analysis
Statistical mechanics
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description The mathematical structures of loopy belief propagation are reviewed for Bayesian image modeling from the standpoint of statistical mechanical informatics. We propose some schemes for evaluating the statistical performance of probabilistic binary image restoration. The schemes are constructed by means of the LBP, which is known as the Bethe approximation in statistical mechanics. We show some results of numerical experiments obtained by using the LBP algorithm as well as the statistical performance analysis for the probabilistic image restorations.
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subjects Algorithms
Bayesian analysis
Image restoration
Performance evaluation
Physics
Propagation
Statistical analysis
Statistical mechanics
title Statistical performance analysis by loopy belief propagation in Bayesian image modeling
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