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Expected Improvements for the Asynchronous Parallel Global Optimization of Expensive Functions: Potentials and Challenges

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

Abstract

Sequential sampling strategies based on Gaussian processes are now widely used for the optimization of problems involving costly simulations. But Gaussian processes can also generate parallel optimization strategies. We focus here on a new, parameter free, parallel expected improvement criterion for asynchronous optimization. An estimation of the criterion, which mixes Monte Carlo sampling and analytical bounds, is proposed. Logarithmic speed-ups are measured on 1 and 9 dimensional functions.

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References

  1. Berbecea, A.C., Kreuawan, S., Gillon, F., Brochet, P.: A Parallel Multiobjective Efficient Global Optimization: The Finite Element Method in Optimal Design and Model Development. IEEE Transactions on Magnetics 46(8), 2868–2871 (2010)

    Article  Google Scholar 

  2. Branke, J., Kamper, A., Schmeck, H.: Distribution of Evolutionary Algorithms in Heterogeneous Networks. In: Deb, K., Tari, Z. (eds.) GECCO 2004. LNCS, vol. 3102, pp. 923–934. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  3. Ginsbourger, D., Le Riche, R., Carraro, L.: Kriging is well-suited to parallelize optimization. In: Tenne, Y., Goh, C.-K. (eds.) Computational Intelligence in Expensive Optimization Problems. Springer series in Evolutionary Learning and Optimization, pp. 131–162 (2009)

    Google Scholar 

  4. Ginsbourger, D., Janusevskis, J., Le Riche, R.: Dealing with asynchronicity in parallel Gaussian Process based global optimization. HAL technical report no. hal-00507632 (July 2010), http://hal.archives-ouvertes.fr/hal-00507632/

  5. Hansen, N., Ostermeier, A.: Completely derandomized self-adaptation in evolution strategies. Evolutionary Computation 9(2), 159–195 (2001)

    Article  Google Scholar 

  6. Kolda, T.G.: Revisiting asynchronous parallel pattern search for nonlinear optimization. SIAM J. Optimization 16(2), 563–586 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  7. Janusevskis, J., Le Riche, R., Ginsbourger, D.: Parallel expected improvements for global optimization: summary, bounds and speed-up. HAL technical report no. hal-00613971 (August 2011), http://hal.archives-ouvertes.fr/hal-00613971_v1

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

    Article  MATH  MathSciNet  Google Scholar 

  9. Regis, R.G., Shoemaker, C.A.: Parallel radial basis function methods for the global optimization of expensive functions. European J. of Operational Research 182, 514–535 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  10. Sobester, A., Leary, S.J., Keane, A.J.: A parallel updating scheme for approximating and optimizing high fidelity computer simulations. J. of Structural and Multidisciplinary Optimization 27, 371–383 (2004)

    Article  Google Scholar 

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© 2012 Springer-Verlag Berlin Heidelberg

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Janusevskis, J., Le Riche, R., Ginsbourger, D., Girdziusas, R. (2012). Expected Improvements for the Asynchronous Parallel Global Optimization of Expensive Functions: Potentials and Challenges. 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_37

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  • DOI: https://doi.org/10.1007/978-3-642-34413-8_37

  • 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)

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