Qualms regarding the optimality of cumulative path length control in CSA/CMA-evolution strategies.
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.
Beyer
Hans-Georg
HG
Department of Computer Science XI, University of Dortmund, D-44221 Dortmund, Germany. beyer@LS11.cs.uni-dortmund.de
Arnold
Dirk V
DV
D000465:Algorithms; D005075:Biological Evolution; D003198:Computer Simulation; D008957:Models, Genetic; D015233:Models, Statistical