Skip to main content

Ensemble of Clearing Differential Evolution for Multi-modal Optimization

  • Conference paper
Book cover Advances in Swarm Intelligence (ICSI 2012)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7331))

Included in the following conference series:

Abstract

Multi-modal Optimization refers to finding multiple global and local optima of a function in one single run, so that the user can have a better knowledge about different optimal solutions. Multiple global/local peaks generate extra difficulties for the optimization algorithms. Many niching techniques have been developed in literature to tackle multi-modal optimization problems. Clearing is one of the simplest and most effective methods in solving multi-modal optimization problems. In this work, an Ensemble of Clearing Differential Evolution (ECLDE) algorithm is proposed to handle multi-modal problems. In this algorithm, the population is evenly divided into 3 subpopulations and each of the subpopulations is assigned a set of niching parameters (clearing radius). The algorithms is tested on 12 benchmark multi-modal optimization problems and compared with the Clearing Differential Evolution (CLDE) with single clearing radius as well as a number of commonly used niching algorithms. As shown in the experimental results, the proposed algorithm is able to generate satisfactory performance over the benchmark functions.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Mahfoud, S.W.: Niching methods for genetic algorithms. Ph.D. dissertation, Urbana, IL, USA (1995), citeseer.ist.psu.edu/mahfoud95niching.html

  2. Koper, K., Wysession, M.: Multimodal function optimization with a niching genetic algorithm: A seis-mological example. Bulletin of the Seismological Society of America 89, 978–988 (1999)

    Google Scholar 

  3. Das, S., Maity, S., Qu, B.-Y., Suganthan, P.N.: Real-parameter evolutionary multimodal optimization — A survey of the state-of-the-art. Swarm and Evolutionary Computation 1(2), 71–88 (2011)

    Article  Google Scholar 

  4. Cavicchio, D.J.: Adaptive search using simulated evolution, Ph.D. dissertation, University of Michigan, Ann Arbor (1970)

    Google Scholar 

  5. De Jong, K.A.: An analysis of the behavior of a class of genetic adaptive systems, Ph.D. dissertation, University of Michigan (1975)

    Google Scholar 

  6. Mahfoud, S.W.: Crowding and preselection revisited. In: Manner, R., Manderick, B. (eds.) Parallel Problem Solving From Nature 2, pp. 27–36

    Google Scholar 

  7. Harik, G.R.: Finding multimodal solutions using restricted tournament selection. In: Proceedings of the Sixth International Conference on Genetic Algorithms. Morgan Kaufmann

    Google Scholar 

  8. Pétrowski, A.: A clearing procedure as a niching method for genetic algorithms. In: Proc. of the IEEE Int. Conf. on Evolutionary Computation, New York, USA, pp. 798–803 (1996)

    Google Scholar 

  9. Goldberg, D.E., Richardson, J.: Genetic algorithms with sharing for multimodal function optimization. In: Grefenstette, J. (ed.) Proceedings of the Second International Conference on Genetic Algorithms, pp. 41–49 (1987)

    Google Scholar 

  10. Li, J.P., Balazs, M.E., Parks, G.T., Clarkson, P.J.: A species conserving genetic algorithm for multimodal function optimization. Evol. Comput. 10(3), 207–234 (2002)

    Article  Google Scholar 

  11. Zaharie, D.: Extensions of differential evolution algorithms for multimodal optimization. In: Proceedings of SYNASC 2004, 6th International Symposium of Symbolic and Numeric Algorithms for Scientific Computing, pp. 523–534 (2004)

    Google Scholar 

  12. Hendershot, Z.: A differential evolution algorithm for automatically discovering multiple global optima in multidimensional, discontinues spaces. In: Proceedings of MAICS 2004, Fifteenth Midwest Artificial Intelligence and Cognitive Sciences Conference, pp. 92–97 (2004)

    Google Scholar 

  13. Thomsen, R.: Multi-modal optimization using crowding-based differential evolution. In: Proceedings of the 2004 Congress on Evolutionary Computation, vol. 2, pp. 1382–1389 (2004)

    Google Scholar 

  14. Qu, B.Y., Suganthan, P.N.: Modified species-based differential evolution with self –adaptive radius for multi-modal optimization. In: International Conference on Computational Problem Solving (ICCP), China, pp. 326–331 (2010)

    Google Scholar 

  15. Storn, R., Price, K.V.: Differential evolution-Asimple and efficient heuristic for global optimization over continuous spaces. Journal of Global Optimization 11, 341–359 (1995)

    Article  MathSciNet  Google Scholar 

  16. Price, K.: An introduction to differential evolution. New Ideas in Optimization, 79–108 (1999)

    Google Scholar 

  17. Wolpert, D.H., Macready, W.G.: No free lunch theorems for optimization. IEEE Transactions on Evolutionary Computation, 67–82 (1997)

    Google Scholar 

  18. Yu, E.L., Suganthan, P.N.: Ensemble of niching algorithms. Information Sciences 180(15), 2815–2833 (2010)

    Article  MathSciNet  Google Scholar 

  19. Qu, B.Y., Suganthan, P.N.: Constrained Multi-Objective Optimization Algorithm with Ensemble of Constraint Handling Methods. Engineering Optimization 43(4), 403 (2011)

    Article  MathSciNet  Google Scholar 

  20. 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 

  21. Li, X.: Niching without niching parameters: particle swarm optimization using a ring topology. IEEE Transactions on Evolutionary Computation 14 (February 2010)

    Google Scholar 

  22. Qu, B.Y., Suganthan, P.N.: Novel Multimodal Problems and Differential Evolution with Ensemble of Restricted Tournament Selection. In: IEEE Congress on Evolutionary Computation, Barcelona, Spain, pp. 3480–3486 (July 2010)

    Google Scholar 

  23. 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 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Qu, B., Liang, J., Suganthan, P.N., Chen, T. (2012). Ensemble of Clearing Differential Evolution for Multi-modal Optimization. In: Tan, Y., Shi, Y., Ji, Z. (eds) Advances in Swarm Intelligence. ICSI 2012. Lecture Notes in Computer Science, vol 7331. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30976-2_42

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-30976-2_42

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-30975-5

  • Online ISBN: 978-3-642-30976-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics