Qualms regarding the optimality of cumulative path length control in CSA/CMA-evolution strategies

  • Authors:
  • Hans-Georg Beyer;Dirk V. Arnold

  • Affiliations:
  • Department of Computer Science XI, University of Dortmund, D-44221 Dortmund, Germany;Department of Computer Science XI, University of Dortmund, D-44221 Dortmund, Germany

  • Venue:
  • Evolutionary Computation
  • Year:
  • 2003

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Abstract

Cumulative step-size adaptation (CSA) based on path length control is regarded as a robust alternative to the standard mutative self-adaptation technique in evolution strategies (ES), guaranteeing an almost optimal control of the mutation operator. This paper shows that the underlying basic assumption in CSA - the perpendicularity of expected consecutive steps - does not necessarily guarantee optimal progress performance for (µ/µI,λ) intermediate recombinative ES.