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Activity Number: 558
Type: Contributed
Date/Time: Wednesday, August 6, 2014 : 2:00 PM to 3:50 PM
Sponsor: IMS
Abstract #312895
Title: On Estimation of Basic Neighborhood of Markov Random Fields
Author(s): Zsolt Talata*+
Companies: University of Kansas
Keywords: Markov random field ; likelihood ratio ; Gibbs measure ; model selection ; information criterion
Abstract:

Markov random fields on d-dimensional integer lattice with finite state space are considered, and the problem of estimation of the basic neighborhood from a single realization observed in a finite region is addressed. The Optimal Likelihood Ratio (OLR) estimator is introduced. Its nearly linear computation complexity is showed, and a bound on the probability of the estimation error is proved which implies strong consistency.


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