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A dimensional-level adaptive differential evolutionary algorithm for continuous optimization

Published: 12 July 2014 Publication History

Abstract

In differential evolution (DE), the optimal value of the control parameters are problem-dependent. Many improved DE algorithms have been proposed with the aim of improving the exploration ability by adaptively adjusting the values of F. In those algorithms, although the value of F is adaptive at the individual level or at the population level, the value is the same for all dimensions of each individual. Individuals are close to the global optimum at some dimensions, but they may be far away from the global optimum at other dimensions. This indicated that different values of F may be needed for different dimensions. This paper proposed an adaptive scheme for the parameter F at the dimensional level. The scheme was incorporated into the jDE algorithm and tested on a set of 25 scalable benchmark functions. The results showed that the scheme improved the performance of the jDE algorithm, particularly in comparisons with several other peer algorithms on high-dimensional functions.

References

[1]
J. Brest, S. Greiner, B. Boskovic, M. Mernik, and V. Zumer. Self-adapting control parameters in differential evolution: A comparative study on numerical benchmark problems. IEEE Transactions on Evolutionary Computation, 10(6):646--657, 2006.
[2]
V. Feoktistov and S. Janaqi. Generalization of the strategies in differential evolution. In Proceedings of the 18th International Parallel and Distributed Processing Symposium, pages 165--170, April 2004.
[3]
E. Mezura-Montes, J. Velázquez-Reyes, and C. A. Coello Coello. A comparative study of differential evolution variants for global optimization. In Proceedings of the 8th annual conference on Genetic and evolutionary computation, GECCO2006, pages 485--492, New York, NY, USA, 2006. ACM.
[4]
R. Storn and K. Price. Differential evolution - a simple and efficient heuristic for global optimization over continuous spaces. Journal of Global Optimization, 11(4):341--359, December 1997.

Cited By

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  • (2016)Differential evolution with a dimensional mutation strategy for global optimization2016 IEEE Congress on Evolutionary Computation (CEC)10.1109/CEC.2016.7744142(2799-2804)Online publication date: Jul-2016

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  1. A dimensional-level adaptive differential evolutionary algorithm for continuous optimization

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      cover image ACM Conferences
      GECCO Comp '14: Proceedings of the Companion Publication of the 2014 Annual Conference on Genetic and Evolutionary Computation
      July 2014
      1524 pages
      ISBN:9781450328814
      DOI:10.1145/2598394
      Permission to make digital or hard copies of part or all of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for third-party components of this work must be honored. For all other uses, contact the Owner/Author.

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      New York, NY, United States

      Publication History

      Published: 12 July 2014

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      Author Tags

      1. differential evolution
      2. dimensional-level adaptation
      3. self-adaptation

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      GECCO '14
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      GECCO '14: Genetic and Evolutionary Computation Conference
      July 12 - 16, 2014
      BC, Vancouver, Canada

      Acceptance Rates

      GECCO Comp '14 Paper Acceptance Rate 180 of 544 submissions, 33%;
      Overall Acceptance Rate 1,669 of 4,410 submissions, 38%

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      • (2016)Differential evolution with a dimensional mutation strategy for global optimization2016 IEEE Congress on Evolutionary Computation (CEC)10.1109/CEC.2016.7744142(2799-2804)Online publication date: Jul-2016

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