Controlling population size and mutation strength by Meta-ES under fitness noise

Authors:
Hans-Georg Beyer;Michael Hellwig
Affiliations:
Vorarlberg University of Applied Sciences, Dornbirn, Australia;Vorarlberg University of Applied Sciences, Dornbirn, Austria
Venue:
Proceedings of the twelfth workshop on Foundations of genetic algorithms XII
Year:
2013

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Abstract

This paper investigates strategy parameter control by Meta-ES using the noisy sphere model. The fitness noise considered is normally distributed with constant noise variance. An asymptotical analysis concerning the mutation strength and the population size is presented. It allows for the prediction of the Meta-ES dynamics. An expression describing the asymptotical growth of the normalized mutation strength is calculated. Finally, the theoretical results are evaluated empirically.