Abstract
Asynchronous differential evolution (ADE) has been derived from 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 incorporated with the trigonometric mutation operator to enhance the convergence rate, and the performance of the algorithm is tested for various values of trigonometric mutation probability; that is, the tuning of trigonometric mutation probability has been done to obtain its optimum setting. The proposed work is termed as ADE–trigonometric probability tuning (ADE-TPT). For tuning, the tests have been done over widely used benchmark functions referred from the literature, and the results obtained using different probabilities are compared.
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References
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)
Storn, R., Price, K.: Differential evolution—a simple and efficient heuristic for global optimization over continuous spaces. J. Global Optim. 11, 341–359 (1997)
Rogalsky, T., Derksen, R.W., Kocabiyik, S.: Differential evolution in aerodynamic optimization. In: Proceedings of 46th Annual Conference of Canadian Aeronautics and Space Institute, Montreal, QC, Canada, pp. 29–36, May 1999
Ilonen, J., Kamarainen, J.-K., Lampinen, J.: Differential evolution training algorithm for feed-forward neural networks. Neural Process. Lett. 7(1), 93–105 (2003)
Storn, R.: On the usage of differential evolution for function optimization. In: Biennial Conference of the North American Fuzzy Information Processing Society, Berkeley, CA, pp. 519–523 (1996)
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)
Milani, A., Santucci, V.: Asynchronous differential evolution. In: Proceedings of IEEE Congress on Evolutionary Computation, pp. 1210–1216 (2010)
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)
Zhabitskaya, E.I.: Constraints on control parameters of asynchronous differential evolution. In: Mathematical Modeling and Computational Science, pp. 322–327. Springer, Berlin (2012)
Zhabitskaya, E., Zhabitsky, M.: Asynchronous differential evolution with restart. In: International Conference on Numerical Analysis and Its Applications, pp. 555–561. Springer, Berlin (2012)
Zhabitskaya, E., Zhabitsky, M.: Asynchronous differential evolution with adaptive correlation matrix. In: GECCO’13, Amsterdam, The Netherlands, July 2013
Zhabitskaya, E.I., Zemlyanaya, E.V., Kiselev, M.A.: Numerical analysis of SAXS-data from vesicular systems by asynchronous differential evolution method. Matem. Model. 27(7), 58–64 (Mi mm3623) (2015)
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)
Fan, H., Lampinen, J.: A Trigonometric mutation operation to differential evolution. J. Global Optim. 27, 105–129 (2003)
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
Demšar, J.: Statistical comparisons of classifiers over multiple data sets. J. Mach. Learn. Res. 7, 1–30 (2006)
GarcĂa, 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)
Dunn, O.J.: Multiple comparisons among means. J. Am. Stat. Assoc. 56(293), 52–64 (1961)
Zar, J.H.: Biostatistical Analysis. Prentice-Hall, Englewood Cliffs (1999)
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Vaishali, Sharma, T.K., Abraham, A., Rajpurohit, J. (2018). Trigonometric Probability Tuning in Asynchronous Differential Evolution. In: Pant, M., Ray, K., Sharma, T., Rawat, S., Bandyopadhyay, A. (eds) Soft Computing: Theories and Applications. Advances in Intelligent Systems and Computing, vol 584. Springer, Singapore. https://doi.org/10.1007/978-981-10-5699-4_26
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