Abstract
Differential evolution (DE) is a vector population-based stochastic search optimization algorithm. DE converges faster, finds the global optimum independent to initial parameters, and uses few control parameters. The exploration and exploitation are the two important diversity characteristics of population-based stochastic search optimization algorithms. Exploration and exploitation are compliment to each other, i.e., a better exploration results in worse exploitation and vice versa. The objective of an efficient algorithm is to maintain the proper balance between exploration and exploitation. This paper focuses on a comparative study based on diversity measures for DE and its prominent variants, namely JADE, jDE, OBDE, and SaDE.
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References
Bansal, J.C., Sharma, H.: Cognitive learning in differential evolution and its application to model order reduction problem for single-input single-output systems. Memetic Comput.1–21, (2012)
Blackwell, T.M.: Particle swarms and population diversity i: Analysis. In GECCO, pp. 103–107,2003.
Brest, J., Greiner, S., Boskovic, B., Mernik, M., Zumer, V.: Self-adapting control parameters in differential evolution: A comparative study on numerical benchmark problems. Evolutionary Computation, IEEE Transactions on 10(6), 646–657 (2006)
Chakraborty, U.K.: Advances in differential evolution. Springer, Berlin (2008)
Das, S., Konar, A.: Two-dimensional IIR filter design with modern search heuristics: A comparative study. Int. J. Comput. Intell. Appl. 6(3), 329–355 (2006)
Das, S., Suganthan, P.N.: Differential evolution: A survey of the state-of-the-art. IEEE Trans. Evol. Comput. 99, 1–28 (2010)
Diwold, K., Aderhold, A., Scheidler, A., Middendorf, M.: Performance evaluation of artificial bee colony optimization and new selection schemes. Memetic Comput., 1–14 (2011).
El-Abd, M.: Performance assessment of foraging algorithms vs. evolutionary algorithms. Inf. Sci. (2011).
Engelbrecht, A.P.: Fundamentals of computational swarm intelligence. Recherche 67, 02 (2005)
Hendtlass, T., Randall, M.: A survey of ant colony and particle swarm meta-heuristics and their application to discrete optimization problems, pp. 15–25. In: Proceedings of the Inaugural Workshop on Artificial Life (2001).
Holland, J.H.: Adaptation in natural and artificial systems. The University of Michigan Press, Ann Arbor (1975)
Kennedy, J., Eberhart, R.: Particle swarm optimization. In: Proceedings of IEEE International Conference on. Neural Networks 4, 1942–1948 (1995)
Krink, T., VesterstrOm, J.S., Riget, J.: Particle swarm optimisation with spatial particle extension. In: Proceedings of the 2002 Congress on, Evolutionary Computation, CEC’02, pp. 1474–1479 ( 2002)
Lampinen, J., Zelinka, I.: On stagnation of the differential evolution algorithm. In: Proceedings of MENDEL, pp. 76–83. Citeseer (2000).
Liu, P.K., Wang, F.S.: Inverse problems of biological systems using multi-objective optimization. J. Chin. Inst. Chem. Eng. 39(5), 399–406 (2008)
Mezura-Montes, E., Velázquez-Reyes, J., Coello Coello, C.A.: A comparative study of differential evolution variants for global optimization. In: Proceedings of the 8th annual conference on Genetic and evolutionary computation, pp. 485–492. ACM (2006).
Neri, F., Tirronen, V.: Recent advances in differential evolution: a survey and experimental analysis. Artif. Intell. Rev. 33(1), 61–106 (2010)
Olorunda, O., Engelbrecht, A.P.: Measuring exploration/exploitation in particle swarms using swarm diversity. In: Evolutionary Computation (IEEE World Congress on Computational Intelligence), pp. 1128–1134 (2008).
Omran, M.G.H., Engelbrecht, A.P., Salman, A.: Differential evolution methods for unsupervised image classification. In: The 2005 IEEE Congress on. Evolutionary Computation 2, 966–973 (2005)
Price, K.V.: Differential evolution: A fast and simple numerical optimizer. In: Fuzzy Information Processing Society. NAFIPS, Biennial Conference of the North American, IEEE, pp. 524–527 (1996).
Price, K.V., Storn, R.M., Lampinen, J.A.: Differential evolution: a practical approach to global optimization. Springer, Berlin (2005)
Qin, A.K., Huang, V.L., Suganthan, P.N.: Differential evolution algorithm with strategy adaptation for global numerical optimization. IEEE Trans. Evol. Comput. 13(2), 398–417 (2009)
Rahnamayan, S., Tizhoosh, H.R., Salama, M.M.A.: Opposition-based differential evolution. IEEE Trans. Evol. Comput. 12(1), 64–79 (2008)
Ratnaweera, A., Halgamuge, S., Watson, H.: Particle swarm optimization with self-adaptive acceleration coefficients. In: Proceedings od 1st International Conference on Fuzzy System Knowledge. Discovery, pp. 264–268 (2003).
Riget, J., Vesterstrøm, J.S.: A diversity-guided particle swarm optimizer-the arpso. Dept. Comput. Sci., Univ. of Aarhus, Aarhus, Denmark. Tech. Rep 2, 2002 (2002)
Rogalsky, T., Kocabiyik, S., Derksen, R.W.: Differential evolution in aerodynamic optimization. Can. Aeronaut. Space J. 46(4), 183–190 (2000)
Sharma, H., Bansal, J., Arya, K.: Dynamic scaling factor based differential evolution algorithm. In: Proceedings of the International Conference on Soft Computing for Problem Solving (SocProS 2011) Dec 20–22, 2011, pp. 73–85. Springer (2012).
Vesterstrom, J.S., Riget, J., Krink, T.: Division of labor in particle swarm optimisation. In: IEEE proceedings of the 2002 Congress on Evolutionary Computation, CEC’02., 2, pp. 1570–1575 (2002)
Vesterstrom, J., Thomsen, R.: A comparative study of differential evolution, particle swarm optimization, and evolutionary algorithms on numerical benchmark problems. In: IEEE Congress on, Evolutionary Computation, CEC2004, 2, pp. 1980–1987, 2004.
Zhang, J., Sanderson, A.C.: Jade: adaptive differential evolution with optional external archive. IEEE Trans. Evol. Comput. 13(5), 945–958 (2009)
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Rana, P.S., Sharma, K., Bhattacharya, M., Shukla, A., Sharma, H. (2014). A Diversity-Based Comparative Study for Advance Variants of Differential Evolution. In: Babu, B., et al. Proceedings of the Second International Conference on Soft Computing for Problem Solving (SocProS 2012), December 28-30, 2012. Advances in Intelligent Systems and Computing, vol 236. Springer, New Delhi. https://doi.org/10.1007/978-81-322-1602-5_137
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