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Not All Parents Are Equal for MO-CMA-ES

, , and . Proceedings of the 6th International Conference on Evolutionary Multi-criterion Optimization, page 31--45. Berlin, Heidelberg, Springer-Verlag, (2011)

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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Not all parents are equal for MO-CMA-ES

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