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Estimation Distribution Differential Evolution

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6024))

Abstract

This paper proposes a novel adaptation scheme for Differential Evolution (DE) frameworks. The proposed algorithm, namely Estimation Distribution Differential Evolution (EDDE), is based on a DE structure and employs randomized scale factor ad crossover rate values. These values are sampled from truncated Gaussian probability distribution functions. These probability functions adaptively vary during the optimization process. At the beginning of the optimization the truncated Gaussian functions are characterized by a large standard deviation values and thus are similar to uniform distributions. During the later stages of the evolution, the probability functions progressively adapt to the most promising values attempting to detect the optimal working conditions of the algorithm. The performance offered by the proposed algorithm has been compared with those given by three modern DE based algorithms which represent the state-of-the-art in DE. Numerical results show that the proposed EDDE, despite its simplicity, is competitive with the other algorithms and in many cases displays a very good performance in terms of both final solution detected and convergence speed.

This research is supported by the Academy of Finland, Akatemiatutkija 130600, Algorithmic Design Issues in Memetic Computing and by Tekes - the Finnish Funding Agency for Technology and Innovation, grant 40214/08 (Dynergia).

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References

  1. Price, K.V., Storn, R., Lampinen, J.: Differential Evolution: A Practical Approach to Global Optimization. Springer, Heidelberg (2005)

    MATH  Google Scholar 

  2. Storn, R., Price, K.: Differential evolution – a simple and efficient heuristic for global optimization over continuous spaces. Journal of Global Optimization 11, 341–359 (1997)

    Article  MATH  MathSciNet  Google Scholar 

  3. Price, K., Storn, R.: Differential evolution: A simple evolution strategy for fast optimization. Dr. Dobb’s J. Software Tools 22(4), 18–24 (1997)

    MathSciNet  Google Scholar 

  4. Zielinski, K., Weitkemper, P., Laur, R., Kammeyer, K.D.: Parameter study for differential evolution using a power allocation problem including interference cancellation. In: Proceedings of the IEEE Congress on Evolutionary Computation, pp. 1857–1864 (2006)

    Google Scholar 

  5. Feoktistov, V.: Differential Evolution. Springer, Heidelberg (2006)

    MATH  Google Scholar 

  6. Lampinen, J., Zelinka, I.: On stagnation of the differential evolution algorithm. In: Oŝmera, P. (ed.) Proceedings of 6th International Mendel Conference on Soft Computing, pp. 76–83 (2000)

    Google Scholar 

  7. Das, S., Konar, A., Chakraborty, U.K.: Two improved differential evolution schemes for faster global search. In: Proceedings of the 2005 conference on Genetic and evolutionary computation, pp. 991–998. ACM, New York (2005)

    Chapter  Google Scholar 

  8. Brest, J., Greiner, S., Bošković, B., Mernik, M., Žumer, V.: Self-adapting control parameters in differential evolution: A comparative study on numerical benchmark problems. IEEE Transactions on Evolutionary Computation 10(6), 646–657 (2006)

    Article  Google Scholar 

  9. Noman, N., Iba, H.: Accelerating differential evolution using an adaptive local search. IEEE Transactions on Evolutionary Computation 12(1), 107–125 (2008)

    Article  Google Scholar 

  10. Neri, F., Tirronen, V.: Scale factor local search in differential evolution. Memetic Computing, 153–171 (2009)

    Google Scholar 

  11. Das, S., Abraham, A., Chakraborty, U.K., Konar, A.: Differential evolution with a neighborhood-based mutation operator. IEEE Transactions on Evolutionary Computation 13(3), 526–553 (2009)

    Article  Google Scholar 

  12. Qin, A.K., Huang, V.L., Suganthan, P.N.: Differential evolution algorithm with strategy adaptation for global numerical optimization. IEEE Transactions on Evolutionary Computation 13(2), 398–417 (2009)

    Article  Google Scholar 

  13. Zhang, J., Sanderson, A.C.: Jade: Adaptive differential evolution with optional external archive. IEEE Transactions on Evolutionary Computation 13(5), 945–958 (2009)

    Article  Google Scholar 

  14. Larrañaga, P., Lozano, J.A.: Estimation of Distribution Algorithms: A New Tool for Evolutionary Computation. Kluwer, Dordrecht (2001)

    Google Scholar 

  15. Mininno, E., Cupertino, F., Naso, D.: Real-valued compact genetic algorithms for embedded microcontroller optimization. IEEE Transactions on Evolutionary Computation 12(2), 203–219 (2008)

    Article  Google Scholar 

  16. Rahnamayan, S., Tizhoosh, H.R., Salama, M.M.: Opposition-based differential evolution. IEEE Transactions on Evolutionary Computation 12(1), 64–79 (2008)

    Article  Google Scholar 

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Mininno, E., Neri, F. (2010). Estimation Distribution Differential Evolution. In: Di Chio, C., et al. Applications of Evolutionary Computation. EvoApplications 2010. Lecture Notes in Computer Science, vol 6024. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12239-2_54

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  • DOI: https://doi.org/10.1007/978-3-642-12239-2_54

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-12238-5

  • Online ISBN: 978-3-642-12239-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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