Skip to main content

Evolution Strategies and Threshold Selection

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3636))

Abstract

A hybrid approach that combines the (1+1)-ES and threshold selection methods is developed. The framework of the new experimentalism is used to perform a detailed statistical analysis of the effects that are caused by this hybridization. Experimental results on the sphere function indicate that hybridization worsens the performance of the evolution strategy, because evolution strategies are well-scaled hill-climbers: the additional threshold disturbs the self-adaptation process of the evolution strategy. Theory predicts that the hybrid approach might be advantageous in the presence of noise. This effect could be observed—however, a proper fine tuning of the algorithm’s parameters appears to be advantageous.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Hoos, H.H., Stützle, T.: Stochastic Local Search—Foundations and Applications. Elsevier, Amsterdam (2005)

    MATH  Google Scholar 

  2. Mayo, D.G.: Error and the Growth of Experimental Knowledge. The University of Chicago Press, Chicago (1996)

    Google Scholar 

  3. Bartz-Beielstein, T., Markon, S.: Tuning search algorithms for real-world applications: A regression tree based approach. In: Greenwood, G.W. (ed.) Proc. 2004 Congress on Evolutionary Computation (CEC 2004), Portland OR, vol. 1, pp. 1111–1118. IEEE Press, Piscataway (2004)

    Google Scholar 

  4. Bartz-Beielstein, T., Parsopoulos, K.E., Vrahatis, M.N.: Design and analysis of optimization algorithms using computational statistics. Applied Numerical Analysis & Computational Mathematics (ANACM) 1(2), 413–433 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  5. Lasarczyk, C., Banzhaf, W.: Total synthesis of algorithmic chemistries. In: GECCO 2005: Proceedings of the Genetic and Evolutionary Computation Conference (2005) (in print)

    Google Scholar 

  6. Bartz-Beielstein, T., Lasarczyk, C., Preuss, M.: Sequential parameter optimization. In: Proc. 2005 Congress on Evolutionary Computation (CEC 2005), Edinburgh. IEEE Press, Piscataway (2005) (in print)

    Google Scholar 

  7. Schwefel, H.-P.: Evolution and Optimum Seeking. ser. Sixth-Generation Computer Technology. Wiley Interscience, New York (1995)

    Google Scholar 

  8. Hacking, I.: Representing and intervening. Cambridge University Press, Cambridge (1983)

    Google Scholar 

  9. Rechenberg, I.: Evolutionsstrategie. Optimierung technischer Systeme nach Prinzipien der biologischen Evolution. frommann-holzboog, Stuttgart (1973)

    Google Scholar 

  10. Markon, S., Arnold, D.V., Bäck, T., Beielstein, T., Beyer, H.-G.: Thresholding – A selection operator for noisy ES. In: Kim, J.-H., Zhang, B.-T., Fogel, G., Kuscu, I. (eds.) Proc. 2001 Congress on Evolutionary Computation (CEC 2001), Seoul, pp. 465–472. IEEE Press, Piscataway (2001)

    Chapter  Google Scholar 

  11. Matyáš, J.: Random Optimization. Automation and Remote Control 26(2), 244–251 (1965)

    MATH  Google Scholar 

  12. Stewart, E.C., Kavanaugh, W.P., Brocker, D.H.: Study of a global search algorithm for optimal control. In: Proceedings of the 5th International Analogue Computation Meeting, Lausanne, pp. 207–230 (August-September1967)

    Google Scholar 

  13. Dueck, G., Scheuer, T.: Threshold accepting: a general purpose optimization algorithm appearing superior to simulated annealing. Journal of Computational Physics 90, 161–175 (1990)

    Article  MATH  MathSciNet  Google Scholar 

  14. Bartz-Beielstein, T.: New experimentalism applied to evolutionary computation. Ph.D. dissertation, University of Dortmund (April 2005)

    Google Scholar 

  15. Hoos, H.H.: Stochastic local search – methods, models, applications. Ph.D. dissertation, Technische Universität Darmstadt (1998)

    Google Scholar 

  16. Lagarias, J.C., Reeds, J.A., Wright, M.H., Wright, P.E.: Convergence properties of the Nelder–Mead simplex method in low dimensions. SIAM J. on Optimization 9(1), 112–147 (1998)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Bartz-Beielstein, T. (2005). Evolution Strategies and Threshold Selection. In: Blesa, M.J., Blum, C., Roli, A., Sampels, M. (eds) Hybrid Metaheuristics. HM 2005. Lecture Notes in Computer Science, vol 3636. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11546245_10

Download citation

  • DOI: https://doi.org/10.1007/11546245_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-28535-9

  • Online ISBN: 978-3-540-31898-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics