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Qualms regarding the optimality of cumulative path length control in CSA/CMA-evolution strategies
Hans-Georg Beyer1, Dirk V Arnold
1Department of Computer Science XI, University of Dortmund, D-44221 Dortmund, Germany. beyer@LS11.cs.uni-dortmund.de
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 (mu/mu(I), lambda) intermediate recombinative ES.
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