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Estimating the granularity coefficient of a Potts-Markov random field within an Markov Chain Monte Carlo algorithm

Pereyra, Marcelo Alejandro and Dobigeon, Nicolas and Batatia, Hadj and Tourneret, Jean-Yves Estimating the granularity coefficient of a Potts-Markov random field within an Markov Chain Monte Carlo algorithm. (2013) IEEE Transactions on Image Processing, 22 (6). 2385-2397. ISSN 1057-7149

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Official URL: http://dx.doi.org/10.1109/TIP.2013.2249076

Abstract

This paper addresses the problem of estimating the Potts parameter β jointly with the unknown parameters of a Bayesian model within a Markov chain Monte Carlo (MCMC) algorithm. Standard MCMC methods cannot be applied to this problem because performing inference on β requires computing the intractable normalizing constant of the Potts model. In the proposed MCMC method, the estimation of β is conducted using a likelihood-free Metropolis–Hastings algorithm. Experimental results obtained for synthetic data show that estimating β jointly with the other unknown parameters leads to estimation results that are as good as those obtained with the actual value of β. On the other hand, choosing an incorrect value of β can degrade estimation performance significantly. To illustrate the interest of this method, the proposed algorithm is successfully applied to real bidimensional SAR and tridimensional ultrasound images.

Item Type:Article
Additional Information:Thanks to IEEE editor. The definitive version is available at http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6471229
HAL Id:hal-01130731
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
Other partners > University of Bristol (UNITED KINGDOM)
Laboratory name:
Funders:
EP/D063485/1 - ANR-12-BS03-003
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Deposited By: IRIT IRIT
Deposited On:12 Mar 2015 10:58

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