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Evolutionary Computation

Spring 2003, Vol. 11, No. 1, Pages 19-28
(doi: 10.1162/106365603321828989)
© 2003 Massachusetts Institute of Technology
Qualms Regarding the Optimality of Cumulative Path Length Control in CSA/CMA-Evolution Strategies
Article PDF (218.77 KB)
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/μIλ) intermediate recombinative ES