Advertisement

Towards a theory of ‘evolution strategies’: Results for (1,+λ)-strategies on (nearly) arbitrary fitness functions

  • Hans-Georg Beyer
Theoretical Aspects of Evolutionary Computation
Part of the Lecture Notes in Computer Science book series (LNCS, volume 866)

Abstract

Recent findings in the local (1 , + λ) ES-theory for (nearly) arbitrary continuous fitness functions are presented and compared to ES-experiments. Two approaches will be considered: The probability theory approach and an extension of the spherical model theory by Riemannian geometry.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [Bey89]
    H.-G. Beyer. Ein Evolutionsverfahren zur mathematischen Modellierung stationärer Zustände in dynamischen Systemen. Dissertation, Hochschule für Architektur und Bauwesen, Weimar, Germany, 1989. Reihe: HAB-Dissertationen, Nr. 16.Google Scholar
  2. [Bey92]
    H.-G. Beyer. Towards a Theory of ‘Evolution Strategies'. Some Asymptotical Results from the (1, + λ)-Theory. Technical Report SYS-5/92, Department of Computer Science, University of Dortmund, 1992.Google Scholar
  3. [Bey93]
    H.-G. Beyer. Toward a theory of evolution strategies: Some asymptotical results from the (1, + λ)-theory. Evolutionary Computation, 1(2):165–188, 1993.Google Scholar
  4. [Her92]
    M. Herdy. Reproductive isolation as strategy parameter in hierarchically organized evolution strategies. In R. Männer and B. Manderick, editors, Parallel Problem Solving from Nature, 2, pages 207–217. Elsevier, Amsterdam, 1992.Google Scholar
  5. [Kre68]
    E. Kreyszig. Differentialgeometrie. AVG Geest & Portig K.-G., Leipzig, 1968.Google Scholar
  6. [Rec73]
    I. Rechenberg. Evolutionsstrategie: Optimierung technischer Systeme nach Prinzipien der biologischen Evolution. Frommann-Holzboog Verlag, Stuttgart, 1973.Google Scholar
  7. [Rec89]
    I. Rechenberg. Artificial evolution and artificial intelligence. In R. Forsyth, editor, Machine Learning: Principles and Techniques, pages 83–103. Chapman and Hall, London, 1989.Google Scholar
  8. [Rec93]
    I. Rechenberg. Evolutionsstrategie '93. manuscript of a forthcoming book, 1993.Google Scholar
  9. [Sch81]
    H.-P. Schwefel. Numerical Optimization of Computer Models. Wiley, Chichester, 1981.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1994

Authors and Affiliations

  • Hans-Georg Beyer
    • 1
  1. 1.Department of Computer Science, Chair of Systems AnalysisUniversity of DortmundDortmundGermany

Personalised recommendations