Scalability of population-based search heuristics for many-objective optimization

  • Authors:
  • Ramprasad Joshi;Bharat Deshpande

  • Affiliations:
  • BITS, Pilani - K K Birla Goa Campus, Goa, India;BITS, Pilani - K K Birla Goa Campus, Goa, India

  • Venue:
  • EvoApplications'13 Proceedings of the 16th European conference on Applications of Evolutionary Computation
  • Year:
  • 2013

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Abstract

Beginning with Talagrand [16]'s seminal work, isoperimetric inequalities have been used extensively in analysing randomized algorithms. We develop similar inequalities and apply them to analysing population-based randomized search heuristics for multiobjective optimization in ℝn space. We demonstrate the utility of the framework in explaining an empirical observation so far not explained analytically: the curse of dimensionality, for many-objective problems. The framework makes use of the black-box model now popular in EC research.