Self-adaptation on the ridge function class: first results for the sharp ridge

Authors:
Hans-Georg Beyer;Silja Meyer-Nieberg
Affiliations:
Department of Computer Science, Vorarlberg University of Applied Sciences, Dornbirn, Austria;Department of Computer Science, Universität der Bundeswehr München, Neubiberg, Germany
Venue:
PPSN'06 Proceedings of the 9th international conference on Parallel Problem Solving from Nature
Year:
2006

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Abstract

This paper presents first results of an analysis of the σ-self-adaptation mechanism on the sharp ridge for non-recombinative (1,λ) evolution strategies (ES). To analyze the ES's evolution, we consider the so-called evolution equations which describe the one-generation change. Neglecting stochastic perturbations and considering only the mean value dynamics, we will investigate possible causes why self-adaptation can fail on the sharp ridge.