| Issue |
Europhys. Lett.
Volume 66, Number 3, May 2004
|
|
|---|---|---|
| Page(s) | 305 - 310 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i2004-10011-3 | |
| Published online | 01 April 2004 | |
Best possible probability distribution over extremal optimization ranks
1
Institut für Physik, Technische Universität Chemnitz - D-09107 Chemnitz, Germany
2
Department of Mathematics and Statistics, San Diego State University San Diego, CA 92182, USA
Corresponding author: hoffmann@physik.tu-chemnitz.de
Received:
9
January
2004
Accepted:
2
March
2004
We consider the problem of selecting the next degree of freedom (DoF) for update in an extremal optimization algorithm designed to find the ground state of a system with a complex energy landscape. We show that if we wish to minimize any linear function of the state probabilities, e.g. the final energy, then the best distribution for selecting the next DoF is a rectangular distribution with a cutoff for the fitness. We dub the family of algorithms using rectangular distributions in combination with extremal optimization Fitness Threshold Accepting.
PACS: 02.50.Ga – Markov processes / 02.60.Pn – Numerical optimization / 05.10.-a – Computational methods in statistical physics and nonlinear dynamics
© EDP Sciences, 2004
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