Statistical performance analysis by loopy belief propagation in Bayesian image modeling
Kazuyuki Tanaka, Shun Kataoka, Muneki Yasuda · Journal of Physics Conference Series · 2010
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.