A Weighted Local Sharing Technique for Multimodal Optimisation

  • Authors:
  • Grant Dick;Peter A. Whigham

  • Affiliations:
  • Department of Information Science, University of Otago, Dunedin, New Zealand;Department of Information Science, University of Otago, Dunedin, New Zealand

  • Venue:
  • SEAL '08 Proceedings of the 7th International Conference on Simulated Evolution and Learning
  • Year:
  • 2008

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Abstract

Local sharing is a method designed for efficient multimodal optimisation that combines fitness sharing, spatially-structured populations and elitist replacement. In local sharing the bias toward sharing or spatial effect is controlled by the deme (neighbourhood) size. This introduces an undesirable trade-off; to maximise the sharing effect, deme sizes must be large, but the opposite must be true if one wishes to maximise the influence of spatial population structure. This paper introduces a modification to the local sharing method whereby parent selection and fitness sharing operate at two different spatial levels; parent selection is performed within small demes, while the effect of fitness sharing is weighted according to the distances between individuals in the population structure. The proposed method, as tested on several benchmark problems, demonstrates a level of efficiency and parameter robustness that surpasses the basic local sharing method.