Recombination for learning strategy parameters in the MO-CMA-ES

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The multi-objective covariance matrix adaptation evolution strategy (MO-CMA-ES) is a variable-metric algorithm for real-valued vector optimization. It maintains a parent population of candidate solutions, which are varied by additive, zero-mean Gaussian mutations. Each individual learns its own covariance matrix for the mutation distribution considering only its parent and offspring. However, the optimal mutation distribution of individuals that are close in decision space are likely to be similar if we presume some notion of continuity of the optimization problem. Therefore, we propose a lateral (inter-individual) transfer of information in the MO-CMA-ES considering also successful mutations of neighboring individuals for the covariance matrix adaptation. We evaluate this idea on common bi-criteria objective functions. The preliminary results show that the new adaptation rule significantly improves the performance of the MO-CMA-ES.

Original languageEnglish
Title of host publicationEvolutionary Multi-Criterion Optimization : 5th International Conference, EMO 2009, Nantes, France, April 7-10, 2009. Proceedings
EditorsMatthias Ehrgott, Carlos M. Fonseca, Xavier Gandibleux, Jin-Kao Hao, Marc Sevaux
Number of pages14
PublisherSpringer
Publication date2009
Pages155-168
ISBN (Print)978-3-642-01019-4
ISBN (Electronic)978-3-642-01020-0
DOIs
Publication statusPublished - 2009
Externally publishedYes
Event5th International Conference on Evolutionary Multi-Criterion Optimization, EMO 2009 - Nantes, France
Duration: 7 Apr 200910 Apr 2009

Conference

Conference5th International Conference on Evolutionary Multi-Criterion Optimization, EMO 2009
LandFrance
ByNantes
Periode07/04/200910/04/2009
SponsorUniversité de Nantes, Université de Bretagne Sud, Université d'Angers, École centrale de Nantes, Ecole des Mines de Nantes
SeriesLecture notes in computer science
Volume5467
ISSN0302-9743

ID: 168462009