Theory and practice of cellular UMDA for discrete optimization

  • Authors:
  • E. Alba;J. Madera;B. Dorronsoro;A. Ochoa;M. Soto

  • Affiliations:
  • Department of Computer Science, University of Málaga, Spain;Department of Computing, Camagüey University, Cuba;Department of Computer Science, University of Málaga, Spain;The Institute of Cybernetics, Mathematics and Physics, La Habana, Cuba;The Institute of Cybernetics, Mathematics and Physics, La Habana, Cuba

  • Venue:
  • PPSN'06 Proceedings of the 9th international conference on Parallel Problem Solving from Nature
  • Year:
  • 2006

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Abstract

A new class of estimation of distribution algorithms (EDAs), known as cellular EDAs (cEDAs), has recently emerged. In these algorithms, the population is decentralized by partitioning it into many small collaborating subpopulations, arranged in a toroidal grid, and interacting only with its neighboring subpopulations. In this work, we study the simplest cEDA —the cellular univariate marginal distribution algorithm (cUMDA). In an attempt to explain its behaviour, we extend the well known takeover time analysis usually applied to other evolutionary algorithms to the field of EDAs. We also give in this work empirical arguments in favor of using the cUMDAs instead of its centralized equivalent.