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Entropy measurement-based estimation model for bayesian optimization algorithm

Published:07 July 2010Publication History

ABSTRACT

In evolutionary algorithms, the efficiency enhancement techniques are capable of solving difficult large scale problems in a scalable manner. This paper rigorously analyzes the Bayesian optimization algorithm (BOA) incorporated with an innovative evaluation relaxation method based on the entropy measurement theory (en-BOA). In particular, the concept of entropy is used to develop the evaluation relaxation strategy (ERS) and to determine the rate of convergence. Entropy measurement-based ERS is employed to recognize which candidate solution should be evaluated by the actual function or be estimated by the surrogate model. Experiments prove that en-BOA significantly reduces the number of actual evaluations and the scalability of BOA is not negatively affected. Moreover, the entropy measurement-based evaluation relaxation technique does not require any larger population sizes.

References

  1. C. W. Ahn and R. S. Ramakrishna. On the scalability of real-coded bayesian optimization algorithm. IEEE Trans. Evolutionary Computation, 12(3):307--322, 2008. Google ScholarGoogle ScholarDigital LibraryDigital Library
  2. C. W. Ahn, R. S. Ramakrishna, and D. E. Goldberg. Real-coded bayesian optimization algorithm: Bringing the strength of boa into the continuous world. In Proceedings of the Genetic and Evolutionary Computation Conference (GECCO-2004), pages 840--851, 2004.Google ScholarGoogle ScholarCross RefCross Ref
  3. J. F. M. Barthelemy and R. T. Haftka. Approximation concepts for optimum structural design: a review. Structural and Multidisciplinary Optimization, 5:129--144, 1993.Google ScholarGoogle ScholarCross RefCross Ref
  4. P. A. Bosman, D. Thierens, P. A. N, and B. D. Thierens. Linkage information processing in distribution estimation algorithms, 1999.Google ScholarGoogle Scholar
  5. D. Chickering, D. Geiger, and D. Heckerman. Learning bayesian networks is np-hard. Technical report, 1994.Google ScholarGoogle Scholar
  6. T. S. P. C. Duque, D. E. Goldberg, and K. Sastry. Enhancing the efficiency of the ecga. In PPSN X, LNCS 5199, pages 165--174, 2008.Google ScholarGoogle Scholar
  7. G. P. Gladyshev. Thermodynamic theory of biological evolution and aging. experimental confirmation of theory. Entropy, 1(4):55--68, 1999.Google ScholarGoogle ScholarCross RefCross Ref
  8. D. E. Goldberg. Genetic algorithms in search, optimization, and machine learning. Addison-Wesley, Reading, MA, 1989. Google ScholarGoogle ScholarDigital LibraryDigital Library
  9. D. E. Goldberg and M. Rudnick. Genetic algorithms and the variance of fitness, 1991.Google ScholarGoogle Scholar
  10. G. Harik and G. Harik. Linkage learning via probabilistic modeling in the ecga. Technical report, 1999.Google ScholarGoogle Scholar
  11. D. Heckerman. A tutorial on learning bayesian networks. Technical report, Communications of the ACM, 1995.Google ScholarGoogle Scholar
  12. D. Heckerman, D. Geiger, and D. M. Chickering. Learning bayesian networks: The combination of knowledge and statistical data. In MACHINE LEARNING, pages 197--243, 1995. Google ScholarGoogle ScholarDigital LibraryDigital Library
  13. Y. Jin. A comprehensive survey of fitness approximation in evolutionary computation, 2003. Google ScholarGoogle ScholarDigital LibraryDigital Library
  14. P. Larrañga and J. A. Lozano, editors. Estimation of Distribution Algorithms: A New Tool for Evolutionary Computation. Kluwer Academic Publishers, Boston, MA, 2002.Google ScholarGoogle ScholarCross RefCross Ref
  15. A. Ochoa and M. R. Soto. Linking entropy to estimation of distribution algorithms. In J. A. Lozano, P. Larrañaga, I. Inza, and E. Bengoetxea, editors, Towards a New Evolutionary Computation: Advances on Estimation of Distribution Algorithms, pages 1--38. Springer, 2006.Google ScholarGoogle Scholar
  16. M. Pelikan and D. E. Goldberg. Hierarchical bayesian optimization algorithm = bayesian optimization algorithm + niching + local structures. pages 525--532. Morgan Kaufmann, 2001.Google ScholarGoogle Scholar
  17. M. Pelikan, D. E. Goldberg, and E. Cantú-Paz. Boa: The bayesian optimization algorithm. In Proceedings of the Genetic and Evolutionary Computation Conference (GECCO-1999), pages 525--532, 1999.Google ScholarGoogle Scholar
  18. M. Pelikan and H. Mühlenbein. The bivariate marginal distribution algorithm, 1999.Google ScholarGoogle Scholar
  19. M. Pelikan and H. Mühlenbein. Marginal distributions in evolutionary algorithms. In In Proceedings of the International Conference on Genetic Algorithms Mendel '98, pages 90--95, 1999.Google ScholarGoogle Scholar
  20. M. Pelikan and K. Sastry. Fitness inheritance in the bayesian optimization algorithm. In Proceedings of the Genetic and Evolutionary Computation Conference (GECCO-2004), pages 48--59, 2004.Google ScholarGoogle ScholarCross RefCross Ref
  21. K. Sastry, D. E. Goldberg, and M. Pelikan. Efficiency enhancement of probabilistic model building algorithms. In In Proceedings of the Optimization by Building and Using Probabilistic Models Workshop at the Genetic and Evolutionary Computation Conference, 2004.Google ScholarGoogle Scholar
  22. K. Sastry, C. F. Lima, and D. E. Goldberg. Evaluation relaxation using substructural information and linear estimation. In Proceedings of the Genetic and Evolutionary Computation Conference (GECCO-2006), pages 419--426, 2006. Google ScholarGoogle ScholarDigital LibraryDigital Library
  23. K. Sastry, M. Pelikan, and D. E. Goldberg. Efficiency enhancement of estimation of distribution algorithms. In M. Pelikan, K. Sastry, and E. Cantú-Paz, editors, Scalable Optimization via Probabilistic Modeling: From Algorithms to Applications, Studies in Computational Intelligence, pages 161--186. Springer, 2006.Google ScholarGoogle Scholar
  24. R. E. Smith, B. A. Dike, and S. A. Stegmann. Fitness inheritance in genetic algorithms. In SAC '95: Proceedings of the 1995 ACM symposium on Applied computing, pages 345--350, New York, NY, USA, 1995. ACM. Google ScholarGoogle ScholarDigital LibraryDigital Library

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              cover image ACM Conferences
              GECCO '10: Proceedings of the 12th annual conference on Genetic and evolutionary computation
              July 2010
              1520 pages
              ISBN:9781450300728
              DOI:10.1145/1830483

              Copyright © 2010 ACM

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              • Published: 7 July 2010

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