Naive mean field approximation for image restoration

Details Naive mean field approximation for image restoration Naive mean field approximation for image restoration

2002-04-30

arxiv.org/abs/cond-mat/0204624v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

9 pages, 11 figures

Scientific paper

10.1143/JPSJ.71.2406

We attempt image restoration in the framework of the Baysian inference. Recently, it has been shown that under a certain criterion the MAP (Maximum A Posterior) estimate, which corresponds to the minimization of energy, can be outperformed by the MPM (Maximizer of the Posterior Marginals) estimate, which is equivalent to a finite-temperature decoding method. Since a lot of computational time is needed for the MPM estimate to calculate the thermal averages, the mean field method, which is a deterministic algorithm, is often utilized to avoid this difficulty. We present a statistical-mechanical analysis of naive mean field approximation in the framework of image restoration. We compare our theoretical results with those of computer simulation, and investigate the potential of naive mean field approximation.

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