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09 February 2025
 
  » arxiv » 1109.0165

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Increasing the attraction area of the global minimum in the binary optimization problem
Iakov Karandashev ; Boris Kryzhanovsky ;
Date 1 Sep 2011
AbstractThe problem of binary minimization of a quadratic functional in the configuration space is discussed. In order to increase the efficiency of the random-search algorithm it is proposed to change the energy functional by raising to a power the matrix it is based on. We demonstrate that this brings about changes of the energy surface: deep minima displace slightly in the space and become still deeper and their attraction areas grow significantly. Experiments show that this approach results in a considerable displacement of the spectrum of the sought-for minima to the area of greater depth, and the probability of finding the global minimum increases abruptly (by a factor of 10^3 in the case of the 10-by-10 Edwards-Anderson spin glass).
Source arXiv, 1109.0165
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