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Enhanced Asynchronous Differential Evolution Using Trigonometric Mutation

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Proceedings of the Eighth International Conference on Soft Computing and Pattern Recognition (SoCPaR 2016) (SoCPaR 2016)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 614))

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Abstract

The Asynchronous Differential Evolution (ADE) is based on Differential Evolution (DE) with some variations. In ADE the population is updated as soon as a vector with better fitness is found hence the algorithm works asynchronously. ADE leads to stronger exploration and supports parallel optimization. In this paper ADE is embedded with the trigonometric mutation operator (TMO) to enhance the convergence rate of basic ADE. The proposed hybridized algorithm is termed as ADE-TMO. The algorithm is verified over widely used 10 benchmark functions referred from the literature. The simulated results show that ADE-TMO perform better than basic ADE and other state-of-art algorithms.

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References

  1. Storn, R., Price, K.: Differential evolution—A simple and efficient adaptive scheme for global optimization over continuous spaces. Berkeley, CA, Technical Report TR-95-012 (1995)

    Google Scholar 

  2. Storn, R., Price, K.: Differential evolution—A simple and efficient heuristic for global optimization over continuous spaces. J. Glob. Optim. 11, 341–359 (1997). Kluwer, Norwell

    Article  MathSciNet  MATH  Google Scholar 

  3. Rogalsky, T., Derksen, R.W., Kocabiyik, S.: Differential evolution in aerodynamic optimization. In: Proceedings of the 46th Annual Conference of Canadian Aeronautics Space Institute, Montreal, QC, Canada, pp. 29–36, May 1999

    Google Scholar 

  4. Ilonen, J., Kamarainen, J.-K., Lampinen, J.: Differential evolution training algorithm for feed-forward neural networks. Neural Process. Lett. 7(1), 93–105 (2003)

    Article  Google Scholar 

  5. Storn, R.: On the usage of differential evolution for function optimization. In: Proceedings of the Biennial Conference of the North American Fuzzy Information Processing Society, Berkeley, pp. 519–523 (1996)

    Google Scholar 

  6. Zhabitskaya, E., Zhabitsky, M.: Asynchronous differential evolution. In: Adam, G., Busa, J., Hnatic, M. (eds.) MMCP 2011. LNCS, vol. 7125, pp. 328–333. Springer, Heidelberg (2012)

    Google Scholar 

  7. Milani, A., Santucci, V.: Asynchronous differential evolution. In: Proceedings of the 2010 IEEE Congress on Evolutionary Computation, pp. 1210–1216 (2010)

    Google Scholar 

  8. Ntipteni, M.S., Valakos, I.M., Nikolos, I.K.: An asynchronous parallel differential evolution algorithms. In: International Conference on Design Optimization and Application, Spain (2006)

    Google Scholar 

  9. Zhabitskaya, E.I.: Constraints on control parameters of asynchronous differential evolution. In: Mathematical Modeling and Computational Science, pp. 322–327. Springer, Heidelberg (2012)

    Google Scholar 

  10. Zhabitskaya, E., Zhabitsky, M.: Asynchronous differential evolution with restart. In: International Conference on Numerical Analysis and its Applications, pp. 555–561. Springer, Heidelberg (2012)

    Google Scholar 

  11. Zhabitskaya, E., Zhabitsky, M.: Asynchronous differential evolution with adaptive correlation matrix. In: GECCO 2013, Amsterdam, The Netherlands, July 2013

    Google Scholar 

  12. Zhabitskaya, E.I., Zemlyanaya, E.V., Kiselev, M.A.: Numerical analysis of SAXS-data from vesicular systems by asynchronous differential evolution method. Matem. Mod. 27(7), 58–64 (2015). Mi mm3623

    MATH  Google Scholar 

  13. Vaishali, Sharma, T.K.: Asynchronous differential evolution with convex mutation. In: Proceedings of Fifth International Conference on Soft Computing for Problem Solving. Springer, Singapore (2016)

    Google Scholar 

  14. Fan, H., Lampinen, J.: A trigonometric mutation operation to differential evolution. J. Glob. Optim. 27, 105–129 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  15. Suganthan, P.N., et al.: Problem definitions and evaluation criteria for the CEC05 special session on real-parameter optimization. Technical report, Nanyang Technological University, Singapore (2005). http://www.ntu.edu.sg/home/epnsugan/index_files/CEC-05/CEC05.htm

  16. Demšar, J.: Statistical comparisons of classifiers over multiple data sets. J. Mach. Learn. Res. 7, 1–30 (2006)

    MathSciNet  MATH  Google Scholar 

  17. García, S., Herrera, F.: An extension on statistical comparisons of classifiers over multiple data sets for all pairwise comparisons. J. Mach. Learn. Res. 9, 2677–2694 (2008)

    MATH  Google Scholar 

  18. Dunn, O.J.: Multiple comparisons among means. J. Am. Stat. Assoc. 56(293), 52–64 (1961)

    Article  MathSciNet  MATH  Google Scholar 

  19. Zar, J.H.: Biostatistical Analysis. Prentice-Hall, Englewood Cliffs (1999)

    Google Scholar 

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Vaishali, Sharma, T.K., Abraham, A., Rajpurohit, J. (2018). Enhanced Asynchronous Differential Evolution Using Trigonometric Mutation. In: Abraham, A., Cherukuri, A., Madureira, A., Muda, A. (eds) Proceedings of the Eighth International Conference on Soft Computing and Pattern Recognition (SoCPaR 2016). SoCPaR 2016. Advances in Intelligent Systems and Computing, vol 614. Springer, Cham. https://doi.org/10.1007/978-3-319-60618-7_38

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  • DOI: https://doi.org/10.1007/978-3-319-60618-7_38

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