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Phys. Rev. E 72, 016702 (2005) [5 pages]

Continuous extremal optimization for Lennard-Jones clusters

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Tao Zhou1, Wen-Jie Bai2, Long-Jiu Cheng2, and Bing-Hong Wang1,*
1Nonlinear Science Center and Department of Modern Physics, University of Science and Technology of China, Hefei Anhui, 230026, China
2Department of Chemistry, University of Science and Technology of China, Hefei Anhui, 230026, China

Received 17 November 2004; revised 19 April 2005; published 6 July 2005

We explore a general-purpose heuristic algorithm for finding high-quality solutions to continuous optimization problems. The method, called continuous extremal optimization (CEO), can be considered as an extension of extremal optimization and consists of two components, one which is responsible for global searching and the other which is responsible for local searching. The CEO’s performance proves competitive with some more elaborate stochastic optimization procedures such as simulated annealing, genetic algorithms, and so on. We demonstrate it on a well-known continuous optimization problem: the Lennard-Jones cluster optimization problem.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.72.016702
DOI:
10.1103/PhysRevE.72.016702
PACS:
02.60.Pn, 36.40.−c, 05.65.+b

*Electronic address: bhwang@ustc.edu.cn