Evolution Under Strong Noise: A Self-Adaptive Evolution Strategy Can Reach the Lower Performance Bound - The pcCMSA-ES

نویسندگان

  • Michael Hellwig
  • Hans-Georg Beyer
چکیده

According to a theorem by Astete-Morales, Cauwet, and Teytaud, “simple Evolution Strategies (ES)” that optimize quadratic functions disturbed by additive Gaussian noise of constant variance can only reach a simple regret log-log convergence slope ≥ −1/2 (lower bound). In this paper a population size controlled ES is presented that is able to perform better than the −1/2 limit. It is shown experimentally that the pcCMSA-ES is able to reach a slope of −1 being the theoretical lower bound of all comparison-based direct search algorithms.

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تاریخ انتشار 2016