Not all parents are equal for MO-CMA-ES

  • Authors:
  • Ilya Loshchilov;Marc Schoenauer;Michèle Sebag

  • Affiliations:
  • TAO Project-team, INRIA Saclay - Île-de-France and Laboratoire de Recherche en Informatique (UMR CNRS 8623), Université Paris-Sud, Orsay Cedex, France;TAO Project-team, INRIA Saclay - Île-de-France and Laboratoire de Recherche en Informatique (UMR CNRS 8623), Université Paris-Sud, Orsay Cedex, France;Laboratoire de Recherche en Informatique (UMR CNRS 8623), Université Paris-Sud, Orsay Cedex, France and TAO Project-team, INRIA Saclay - Île-de-France

  • Venue:
  • EMO'11 Proceedings of the 6th international conference on Evolutionary multi-criterion optimization
  • Year:
  • 2011

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Abstract

The Steady State variants of the Multi-Objective Covariance Matrix Adaptation Evolution Strategy (SS-MO-CMA-ES) generate one offspring from a uniformly selected parent. Some other parental selection operators for SS-MO-CMA-ES are investigated in this paper. These operators involve the definition of multi-objective rewards, estimating the expectation of the offspring survival and its Hypervolume contribution. Two selection modes, respectively using tournament, and inspired from the Multi-Armed Bandit framework, are used on top of these rewards. Extensive experimental validation comparatively demonstrates the merits of these new selection operators on unimodal MO problems.