Volume 66, Number 3, May 2004
|Page(s)||305 - 310|
|Published online||01 April 2004|
Best possible probability distribution over extremal optimization ranks
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: email@example.com
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.