Not all parents are equal for MO-CMA-ES

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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. © 2011 Springer-Verlag.

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Loshchilov, I., Schoenauer, M., & Sebag, M. (2011). Not all parents are equal for MO-CMA-ES. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 6576 LNCS, pp. 31–45). Springer Verlag. https://doi.org/10.1007/978-3-642-19893-9_3

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