Federico Ricci-Tersenghi and Guilhem Semerjian J. Stat. Mech. (2009) P09001 doi:10.1088/1742-5468/2009/09/P09001
Federico Ricci-Tersenghi1 and Guilhem Semerjian2
Show affiliationsWe introduce a version of the cavity method for diluted mean-field spin models that allows the computation of thermodynamic quantities similar to the Franz–Parisi quenched potential in sparse random graph models. This method is developed in the particular case of partially decimated random constraint satisfaction problems. This allows us to develop a theoretical understanding of a class of algorithms for solving constraint satisfaction problems, in which elementary degrees of freedom are sequentially assigned according to the results of a message passing procedure (belief propagation). We confront this theoretical analysis with the results of extensive numerical simulations.
E-print Number: 0904.3395
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05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion
Issue 09 (September 2009)
Received 10 June 2009, accepted for publication 1 August 2009
Published 9 September 2009
Federico Ricci-Tersenghi and Guilhem Semerjian J. Stat. Mech. (2009) P09001
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A. Glatz et al 2008 EPL 82 47002
A. Glatz and I. S. Beloborodov 2009 EPL 87 57009
Dan Milisavljevic et al. 2008 ApJ 684 1170
Guilhem Semerjian and Martin Weigt 2004 J. Phys. A: Math. Gen. 37 5525
S. Blondin et al. 2008 ApJ 682 724
G. Miknaitis et al. 2007 ApJ 666 674