Chaotic Artificial Bee Colony Used for Cluster Analysis

  • Conference paper
Intelligent Computing and Information Science (ICICIS 2011)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 134))

Abstract

A new approach based on artificial bee colony (ABC) with chaotic theory was proposed to solve the partitional clustering problem. We first investigate the optimization model including both the encoding strategy and the variance ratio criterion (VRC). Second, a chaotic ABC algorithm was developed based on the Rossler attractor. Experiments on three types of artificial data of different degrees of overlap** all demonstrate the CABC is superior to both genetic algorithm (GA) and combinatorial particle swarm optimization (CPSO) in terms of robustness and computation time.

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

Access this chapter

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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 ship** 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.

Similar content being viewed by others

References

  1. Coomans, D., Smyth, C., Lee, I., Hancock, T., Yang, J.: Unsupervised Data Mining: Introduction. In: Stephen, D.B., Tauler, R., Beata, W. (eds.) Comprehensive Chemometrics, pp. 559–576. Elsevier, Oxford (2009)

    Chapter  Google Scholar 

  2. Bellec, P., Rosa-Neto, P., Lyttelton, O.C., Benali, H., Evans, A.C.: Multi-level bootstrap analysis of stable clusters in resting-state fMRI. Neuro. Image 51, 1126–1139 (2010)

    Google Scholar 

  3. Ayvaz, M.T., Karahan, H., Aral, M.M.: Aquifer parameter and zone structure estimation using kernel-based fuzzy c-means clustering and genetic algorithm. Journal of Hydrology 343, 240–253 (2007)

    Article  Google Scholar 

  4. Chang, D.-X., Zhang, X.-D., Zheng, C.-W., Zhang, D.-M.: A robust dynamic niching genetic algorithm with niche migration for automatic clustering problem. Pattern Recognition 43, 1346–1360 (2010)

    Article  MATH  Google Scholar 

  5. Lin, J.-L., Wei, M.-C.: Genetic algorithm-based clustering approach for k-anonymization. Expert Systems with Applications 36, 9784–9792 (2009)

    Article  Google Scholar 

  6. Jarboui, B., Cheikh, M., Siarry, P., Rebai, A.: Combinatorial particle swarm optimization (CPSO) for partitional clustering problem. Applied Mathematics and Computation 192, 337–345 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  7. Karaboga, N., Kalinli, A., Karaboga, D.: Designing digital IIR filters using ant colony optimisation algorithm. Engineering Applications of Artificial Intelligence 17, 301–309 (2004)

    Article  MATH  Google Scholar 

  8. Karaboga, D., Basturk, B.: On the performance of artificial bee colony (ABC) algorithm. Applied Soft Computing 8, 687–697 (2008)

    Article  Google Scholar 

  9. Singh, A.: An artificial bee colony algorithm for the leaf-constrained minimum spanning tree problem. Applied Soft Computing 9, 625–631 (2009)

    Article  Google Scholar 

  10. Peng, B., Liu, B., Zhang, F.-Y., Wang, L.: Differential evolution algorithm-based parameter estimation for chaotic systems. Chaos, Solitons & Fractals 39, 2110–2118 (2009)

    Article  Google Scholar 

  11. Hammami, S., Benrejeb, M., Feki, M., Borne, P.: Feedback control design for Rössler and Chen chaotic systems anti-synchronization. Physics Letters A 374, 2835–2840 (2010)

    Article  MATH  Google Scholar 

  12. Ahmed, E., El-Sayed, A.M.A., El-Saka, H.A.A.: On some Routh-Hurwitz conditions for fractional order differential equations and their applications in Lorenz, Rössler, Chua and Chen systems. Physics Letters A 358, 1–4 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  13. Ghosh, D., Saha, P., Roy Chowdhury, A.: Linear observer based projective synchronization in delay Rössler system. Communications in Nonlinear Science and Numerical Simulation 15, 1640–1647 (2010)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Zhang, Y., Wu, L., Wang, S., Huo, Y. (2011). Chaotic Artificial Bee Colony Used for Cluster Analysis. In: Chen, R. (eds) Intelligent Computing and Information Science. ICICIS 2011. Communications in Computer and Information Science, vol 134. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18129-0_33

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-18129-0_33

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-18128-3

  • Online ISBN: 978-3-642-18129-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Navigation