A review of the Statistical Mechanics approach to Random Optimization Problems

Details A review of the Statistical Mechanics approach to Random Optimization Problems A review of the Statistical Mechanics approach to Random Optimization Problems

2008-02-13

arxiv.org/abs/0802.1829v1

In "Handbook of Satisfiability", published by IOS press (2009), Volume 185 of the Series "Frontiers in Artificial Intelligence

Computer Science

Computational Complexity

26 pages, 8 figures. Contribution to the book "Handbook of Satisfiability" to be published in 2008 by IOS press

Scientific paper

We review the connection between statistical mechanics and the analysis of random optimization problems, with particular emphasis on the random k-SAT problem. We discuss and characterize the different phase transitions that are met in these problems, starting from basic concepts. We also discuss how statistical mechanics methods can be used to investigate the behavior of local search and decimation based algorithms.

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