Minimizing energy below the glass thresholds

Details Minimizing energy below the glass thresholds Minimizing energy below the glass thresholds

2004-02-20

arxiv.org/abs/cond-mat/0402529v4

Phys. Rev. E 70, 036107 (2004)

Physics

Condensed Matter

Disordered Systems and Neural Networks

12 pages, submitted to Phys. Rev. E, accepted for publication

Scientific paper

10.1103/PhysRevE.70.036107

Focusing on the optimization version of the random K-satisfiability problem, the MAX-K-SAT problem, we study the performance of the finite energy version of the Survey Propagation (SP) algorithm. We show that a simple (linear time) backtrack decimation strategy is sufficient to reach configurations well below the lower bound for the dynamic threshold energy and very close to the analytic prediction for the optimal ground states. A comparative numerical study on one of the most efficient local search procedures is also given.

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