On the effect of mirroring in the IPOP active CMA-ES on the noiseless BBOB testbed

Authors:
Dimo Brockhoff;Anne Auger;Nikolaus Hansen
Affiliations:
INRIA Lille - Nord Europe, Villeneuve d'Ascq, France;INRIA Saclay - Ile-de-France, Orsay, France;INRIA Saclay - Ile-de-France, Orsay, France
Venue:
Proceedings of the 14th annual conference companion on Genetic and evolutionary computation
Year:
2012

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Abstract

Mirrored mutations and active covariance matrix adaptation are two recent ideas to improve the well-known covariance matrix adaptation evolution strategy (CMA-ES)---a state-of-the-art algorithm for numerical optimization. It turns out that both mechanisms can be implemented simultaneously. In this paper, we investigate the impact of mirrored mutations on the so-called IPOP active CMA-ES. We find that additional mirrored mutations improve the IPOP active CMA-ES statistically significantly, but by only a small margin, on several functions while never a statistically significant performance decline can be observed. Furthermore, experiments on different function instances with some algorithm parameters and stopping criteria changed reveal essentially the same results.