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Conference Papers Year : 2011

Mirrored Sampling in Evolution Strategies With Weighted Recombination

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Abstract

This paper introduces mirrored sampling into evolution strategies (ESs) with weighted multi-recombination. Two further heuristics are introduced: pairwise selection selects at most one of two mirrored vectors in order to avoid a bias due to recombination. Selective mirroring only mirrors the worst solutions of the population. Convergence rates on the sphere function are derived that also yield upper bounds for the convergence rate on any spherical function. The optimal fraction of offspring to be mirrored is regardless of pairwise selection one without selective mirroring and about 19% with selective mirroring, where the convergence rate reaches a value of 0.390. This is an improvement of 56% compared to the best known convergence rate of 0.25 with positive recombination weights.
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Dates and versions

inria-00612522 , version 1 (29-07-2011)

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Anne Auger, Dimo Brockhoff, Nikolaus Hansen. Mirrored Sampling in Evolution Strategies With Weighted Recombination. Genetic and Evolutionary Computation Conference (GECCO 2011), SIGEVO, Jul 2011, Dublin, Ireland. pp.861-868, ⟨10.1145/2001576.2001694⟩. ⟨inria-00612522⟩
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