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

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. © Springer-Verlag Berlin Heidelberg 2006.