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Differential Evolution Based on Fitness Euclidean-Distance Ratio for Multimodal Optimization

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Part of the book series: Communications in Computer and Information Science ((CCIS,volume 304))

Abstract

In this paper, fitness euclidean-distance ratio (FER) is incorprated into differential evolution to solve multimodal optimization problems. The prime target of multi-modal optimization is to finding multiple global and local optima of a problem in one single run. Though variants of differential evolution (DE) are highly effective in locating single global optimum, few DE algorithms perform well when solving multi-optima problems. This work uses the FER technique to enhance the DE’s ability of locating and maintaining multiple peaks. The proposed algorithm is tested on a number of benchmark test function and the experimental results show that the proposed simple algorithm performs better comparing with a number of state-of-the-art multimodal optimization approaches.

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References

  1. Price, K., Storn, R.: Differential Evolution: a Practical Approach to Global Optimization. Springer (2005)

    Google Scholar 

  2. Kennedy, J., Eberhart, R.C.: Particle swarm optimization. In: Proceedings of IEEE International Conference on Neural Networks, pp. 1942–1948 (1995)

    Google Scholar 

  3. Qu, B.Y., Gouthanan, P., Suganthan, P.N.: Dynamic Grouping Crowding Differential Evolution with Ensemble of Parameters for Multi-modal Optimization. In: Panigrahi, B.K., Das, S., Suganthan, P.N., Dash, S.S. (eds.) SEMCCO 2010. LNCS, vol. 6466, pp. 19–28. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  4. Qu, B.Y.: Multi-Objective Evolutionary Algorithms on the Summation of Normalized Objectives and Diversified Selection. Information Sciences 180(17), 3170–3181 (2010)

    Article  MathSciNet  Google Scholar 

  5. Thomsen, R.: Multimodal Optimization Using Crowding-based Differential Evolution. In: CEC 2004, pp. 1382–1389 (2004)

    Google Scholar 

  6. Harik, G.R.: Finding Multimodal Solutions Using Restricted Tournament Selection. In: The 6th International Conference on Genetic Algorithms, pp. 24–31 (1995)

    Google Scholar 

  7. Goldberg, D.E.: Genetic Algorithms with Sharing for Multimodal Function Optimization. In: The 2nd International Conference on Genetic Algorithms, pp. 41–49 (1987)

    Google Scholar 

  8. Li, X.: Adaptively Choosing Neighbourhood Bests Using Species in a Particle Swarm Optimizer for Multimodal Function Optimization. In: Deb, K., Tari, Z. (eds.) GECCO 2004. LNCS, vol. 3102, pp. 105–116. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  9. Qu, B.: Niching Particle Swarm Optimization with Local Search for Multi-modal Optimization. Information Sciences 180(17), 323–334 (2011)

    Google Scholar 

  10. Liang, J.J., Qu, B.Y., Ma, S.T., Suganthan, P.N.: Memetic Fitness Euclidean-Distance Particle Swarm Optimization for Multi Modal Optimization. In: Huang, D.-S., Gan, Y., Premaratne, P., Han, K. (eds.) ICIC 2011. LNCS, vol. 6840, pp. 378–385. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  11. Qu, B.Y., Suganthan, P.N.: Modified Species-based Differential Evolution with Self-adaptive Radius for Multi-modal Optimization. In: ICCP (2010)

    Google Scholar 

  12. Storn, R., Price, K.V.: Differential Evolution-A Simple and Efficient Heuristic for Global Optimization over Continuous Spaces. Journal of Global Optimization 11(3), 341–359 (1995)

    MathSciNet  Google Scholar 

  13. Li, X.: A Multimodal Particle Swarm Optimizer on Fitness Euclidean-distance Ration. In: GECCO, pp. 78–85 (2007)

    Google Scholar 

  14. Qu, B.Y.: Current Based Fitness Euclidean-distance Ratio Particle Swarm Optimizer for Multi-modal Optimization. In: NaBIC (2010)

    Google Scholar 

  15. Ackley, D.: An Empirical Study of Bit Vector Function Optimization Genetic Algorithms Simulated Annealing, London, U.K. Pitman (1987)

    Google Scholar 

  16. Li, J.P., Balazs, M.E.: Species Conserving Genetic Algorithm for Multimodal Function Optimization. Evol. Comput. 10(3), 207–234 (2002)

    Article  Google Scholar 

  17. Deb, K.: Genetic Algorithms in Multimodal Function Optimization, the Clearing house for Genetic Algorithms. M.S thesis and Rep. 89002, Univ. Alabama, Tuscaloosa (1989)

    Google Scholar 

  18. Michalewicz, Z.: Genetic Algorithms + Data Structures = Evolution Programs. Springer, New York (1996)

    MATH  Google Scholar 

  19. Li, X.: Efficient Differential Evolution Using Speciation for Multimodal Function Optimization. In: Proceedings of the Conference on Genetic and Evolutionary Computation, Washington DC, USA, pp. 873–880 (2005)

    Google Scholar 

  20. Li, X.: Niching without Niching Parameters: Particle Swarm Optimization Using a Ring Topology. IEEE Transactions on Evolutionary Computation 14(3), 123–134 (2010)

    Google Scholar 

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© 2012 Springer-Verlag Berlin Heidelberg

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Liang, J., Qu, B., Mao, X., Chen, T. (2012). Differential Evolution Based on Fitness Euclidean-Distance Ratio for Multimodal Optimization. In: Huang, DS., Gupta, P., Zhang, X., Premaratne, P. (eds) Emerging Intelligent Computing Technology and Applications. ICIC 2012. Communications in Computer and Information Science, vol 304. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31837-5_72

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  • DOI: https://doi.org/10.1007/978-3-642-31837-5_72

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31836-8

  • Online ISBN: 978-3-642-31837-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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