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Not all parents are equal for MO-CMA-ES

Ilya Loshchilov 1 Marc Schoenauer 2, 1 Michèle Sebag 1, 2 
1 TAO - Machine Learning and Optimisation
LRI - Laboratoire de Recherche en Informatique, UP11 - Université Paris-Sud - Paris 11, Inria Saclay - Ile de France, CNRS - Centre National de la Recherche Scientifique : UMR8623
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.
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Submitted on : Friday, February 11, 2011 - 3:24:58 PM
Last modification on : Sunday, June 26, 2022 - 11:53:22 AM
Long-term archiving on: : Thursday, May 12, 2011 - 2:48:43 AM


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  • HAL Id : inria-00565282, version 1



Ilya Loshchilov, Marc Schoenauer, Michèle Sebag. Not all parents are equal for MO-CMA-ES. Evolutionary Multi-Criterion Optimization 2011 (EMO 2011), Apr 2011, Ouro Preto, Brazil. pp.31-45. ⟨inria-00565282⟩



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