Going for the big fishes: discovering and combining large neutral and massively multimodal building-blocks with model based macro-mutation

  • Authors:
  • David Iclanzan;D. Dumitrescu

  • Affiliations:
  • Babes-Bolyai University, Cluj-Napoca, Romania;Babes-Bolyai University, Cluj-Napoca, Romania

  • Venue:
  • Proceedings of the 10th annual conference on Genetic and evolutionary computation
  • Year:
  • 2008

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Abstract

A major challenge in the field of metaheuristics is to find ways to increase the size of problems that can be addressed reliably. Scalability of probabilistic model building methods, capable to rendering difficult, large problems feasible by identifying dependencies, have been previously explored but investigations had mainly concerned problems where efficient solving is possible with the exploitation of low order dependencies. This is due to the initial-supply population sizing, where the number of samples is lower bounded by the exponential of the order of dependencies covered by the probabilistic model. With an exponentially growing population, the impact of the model building on the overall complexity, can easily exceed the bound for the number of evaluations. In this paper we present a competent methodology, capable of efficiently detecting and combining large modules, even in the case of unfavorable genetic linkage and no intra-block fitness gradient to guide the search or deceptiveness. This is achieved by investing the function evaluations in a model based local-search with strong exploratory power and restricting the model building to a relatively small number of semi-converged samples.