Skip to main content

Substructural Neighborhoods for Local Search in the Bayesian Optimization Algorithm

  • Conference paper
Parallel Problem Solving from Nature - PPSN IX (PPSN 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4193))

Included in the following conference series:

Abstract

This paper studies the utility of using substructural neighborhoods for local search in the Bayesian optimization algorithm (BOA). The probabilistic model of BOA, which automatically identifies important problem substructures, is used to define the structure of the neighborhoods used in local search. Additionally, a surrogate fitness model is considered to evaluate the improvement of the local search steps. The results show that performing substructural local search in BOA significatively reduces the number of generations necessary to converge to optimal solutions and thus provides substantial speedups.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Larrañaga, P., Lozano, J.A. (eds.): Estimation of distribution algorithms: a new tool for Evolutionary Computation. Kluwer Academic Publishers, Boston (2002)

    MATH  Google Scholar 

  2. Pelikan, M., Goldberg, D.E., Lobo, F.: A survey of optimization by building and using probabilistic models. Computational Optimization and Applications 21(1), 5–20 (2002); Also IlliGAL Report No. 99018

    Article  MathSciNet  Google Scholar 

  3. Moscato, P.: On evolution, search, optimization, genetic algorithms and martial arts: Towards memetic algorithms. Technical Report C3P 826, Caltech Concurrent Computation Program, California Institute of Technology, Pasadena, CA (1989)

    Google Scholar 

  4. Hart, W.E.: Adaptive global optimization with local search. PhD thesis, University of California, San Diego, San Diego, CA (1994)

    Google Scholar 

  5. Pelikan, M., Goldberg, D.E., Cantú-Paz, E.: BOA: The Bayesian Optimization Algorithm. In: Banzhaf, W., et al. (eds.) Proceedings of the Genetic and Evolutionary Computation Conference GECCO 1999, pp. 525–532. Morgan Kaufmann, San Francisco (1999); Also IlliGAL Report No. 99003

    Google Scholar 

  6. Pelikan, M.: Hierarchical Bayesian Optimization Algorithm: Toward a New Generation of Evolutionary Algorithms. Springer, Heidelberg (2005)

    Book  Google Scholar 

  7. Pearl, J.: Probabilistic reasoning in intelligent systems: Networks of plausible inference. Morgan Kaufmann, San Mateo (1988)

    MATH  Google Scholar 

  8. Pelikan, M., Sastry, K.: Fitness inheritance in the Bayesian optimization algorithm. In: Deb, K., et al. (eds.) GECCO 2004. LNCS, vol. 3103, pp. 48–59. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  9. Sastry, K., Goldberg, D.E.: Let’s get ready to rumble: Crossover versus mutation head to head. In: Deb, K., et al. (eds.) GECCO 2004. LNCS, vol. 3103, pp. 126–137. Springer, Heidelberg (2004); Also IlliGAL Report No. 2004005

    Chapter  Google Scholar 

  10. Sastry, K., Goldberg, D.E.: Designing competent mutation operators via probabilistic model building of neighborhoods. In: Deb, K., et al. (eds.) GECCO 2004. LNCS, vol. 3103, pp. 114–125. Springer, Heidelberg (2004); Also IlliGAL Report No. 2004006

    Chapter  Google Scholar 

  11. Harik, G.R.: Linkage learning via probabilistic modeling in the ECGA. IlliGAL Report No. 99010, Illinois Genetic Algorithms Laboratory, University of Illinois at Urbana-Champaign, Urbana, IL (1999)

    Google Scholar 

  12. Lima, C.F., Sastry, K., Goldberg, D.E., Lobo, F.G.: Combining competent crossover and mutation operators: A probabilistic model building approach. In: Beyer, H., et al. (eds.) Proceedings of the ACM SIGEVO Genetic and Evolutionary Computation Conference (GECCO 2005), ACM Press, New York (2005)

    Google Scholar 

  13. Handa, H.: The effectiveness of mutation operation in the case of estimation of distribution algorithms. Journal of Biosystems (to appear, 2006)

    Google Scholar 

  14. Etxeberria, R., Larrañaga, P.: Global optimization using Bayesian networks. In: Rodriguez, A., et al. (eds.) Second Symposium on Artificial Intelligence (CIMAF 1999), Habana, Cuba, pp. 332–339 (1999)

    Google Scholar 

  15. Deb, K., Goldberg, D.E.: Analyzing deception in trap functions. Foundations of Genetic Algorithms 2, 93–108 (1993)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Lima, C.F., Pelikan, M., Sastry, K., Butz, M., Goldberg, D.E., Lobo, F.G. (2006). Substructural Neighborhoods for Local Search in the Bayesian Optimization Algorithm. In: Runarsson, T.P., Beyer, HG., Burke, E., Merelo-Guervós, J.J., Whitley, L.D., Yao, X. (eds) Parallel Problem Solving from Nature - PPSN IX. PPSN 2006. Lecture Notes in Computer Science, vol 4193. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11844297_24

Download citation

  • DOI: https://doi.org/10.1007/11844297_24

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-38990-3

  • Online ISBN: 978-3-540-38991-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics