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25 April 2024
 
  » arxiv » cond-mat/0210075

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A comparison of extremal optimization with flat-histogram dynamics for finding spin-glass ground states
Jian-Sheng Wang ; Yutaka Okabe ;
Date 3 Oct 2002
Journal J. Phys. Soc. Jpn. {72}, 1380 (2003)
Subject Statistical Mechanics | cond-mat.stat-mech
AbstractWe compare the performance of extremal optimization (EO), flat-histogram and equal-hit algorithms for finding spin-glass ground states. The first-passage-times to a ground state are computed. At optimal parameter of tau=1.15, EO outperforms other methods for small system sizes, but equal-hit algorithm is competitive to EO, particularly for large systems. Flat-histogram and equal-hit algorithms offer additional advantage that they can be used for equilibrium thermodynamic calculations. We also propose a method to turn EO into a useful algorithm for equilibrium calculations. Keywords: extremal optimization. flat-histogram algorithm, equal-hit algorithm, spin-glass model, ground state.
Source arXiv, cond-mat/0210075
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