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The Analysis of the (µ, λ)-ES

  • Hans-Georg Beyer
Part of the Natural Computing Series book series (NCS)

Abstract

This chapter is dedicated to the analysis of the (µ, λ)-ES on the sphere model. It has three parts. The theoretical background is presented in the first section. In the second section, the program established in the previous section is carried out in the linear approximation. It will hereby be possible to perform the calculations for the final progress rate formulae analytically. The results obtained are compared with the simulation results in the third section, along with a discussion. For small σ*, the progress rate formula for the hyperplane is obtained as a byproduct. This can be used for the empirical verification of the cµ, λ progress coefficients. The exploration behavior of the (µ, λ)-ES is investigated on the sphere model. As a result, it is shown that the search behavior observed cannot be characterized as a “diffusion along the gradient.”

Keywords

Random Walk Sphere Model Progress Rate Central Moment Integral Identity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Hans-Georg Beyer
    • 1
  1. 1.Department of Computer ScienceUniversity of DortmundDortmundGermany

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