Skip to main content

Bayesian Optimization Using Sequential Monte Carlo

  • Conference paper
Book cover Learning and Intelligent Optimization (LION 2012)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7219))

Included in the following conference series:

Abstract

We consider the problem of optimizing a real-valued continuous function f using a Bayesian approach, where the evaluations of f are chosen sequentially by combining prior information about f, which is described by a random process model, and past evaluation results. The main difficulty with this approach is to be able to compute the posterior distributions of quantities of interest which are used to choose evaluation points. In this article, we decide to use a Sequential Monte Carlo (SMC) approach.

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 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Mockus, J., Tiesis, V., Zilinskas, A.: The application of Bayesian methods for seeking the extremum. In: Dixon, L., Szego, G. (eds.) Towards Global Optimization, vol. 2, pp. 117–129. Elsevier (1978)

    Google Scholar 

  2. Santner, T.J., Williams, B.J., Notz, W.I.: The design and analysis of computer experiments. Springer (2003)

    Google Scholar 

  3. Jones, D.R., Schonlau, M., Welch, W.J.: Efficient global optimization of expensive black-box functions. J. Global Optim. 13(4), 455–492 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  4. Benassi, R., Bect, J., Vazquez, E.: Robust Gaussian Process-Based Global Optimization Using a Fully Bayesian Expected Improvement Criterion. In: Coello Coello, C.A. (ed.) LION 5. LNCS, vol. 6683, pp. 176–190. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  5. Gramacy, R., Polson, N.: Particle learning of Gaussian process models for sequential design and optimization. J. Comput. Graph. Stat. 20(1), 102–118 (2011)

    Article  MathSciNet  Google Scholar 

  6. Lizotte, D.J., Greiner, R., Schuurmans, D.: An experimental methodology for response surface optimization methods. J. Global Optim., 38 pages (2011)

    Google Scholar 

  7. Bardenet, R., Kégl, B.: Surrogating the surrogate: accelerating Gaussian-process-based global optimization with a mixture cross-entropy algorithm. In: ICML 2010, Proceedings, Haifa, Israel (2010)

    Google Scholar 

  8. Chopin, N.: A sequential particle filter method for static models. Biometrika 89(3), 539–552 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  9. Del Moral, P., Doucet, A., Jasra, A.: Sequential Monte Carlo samplers. J. R. Stat. Soc. B 68(3), 411–436 (2006)

    Article  MATH  Google Scholar 

  10. Ginsbourger, D., Roustant, O.: DiceOptim: Kriging-based optimization for computer experiments, R package version 1.2 (2011)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Benassi, R., Bect, J., Vazquez, E. (2012). Bayesian Optimization Using Sequential Monte Carlo. In: Hamadi, Y., Schoenauer, M. (eds) Learning and Intelligent Optimization. LION 2012. Lecture Notes in Computer Science, vol 7219. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34413-8_24

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-34413-8_24

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-34412-1

  • Online ISBN: 978-3-642-34413-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics