Skip to main content

Evolutionary Approaches for Cluster Analysis

  • Conference paper
Soft Computing Applications

Part of the book series: Advances in Soft Computing ((AINSC,volume 18))

Abstract

The determination of the number of groups in a dataset, their composition and the most relevant measurements to be considered in clustering the data, is a high-demanding task, especially when the a priori information on the dataset is limited. Three different genetic approaches are introduced in this paper as tools for automatic data clustering and features selection. They differ in the adopted codification of the grouping problem, not in the evolutionary operator and parameters. Two of them deals with the grouping problem in a deterministic framework. The first directly approaches the grouping problem as a combinatorial one. The second tries to determine some relevant points in the data domain to be used in clustering data as group separators. A probabilistic framework is then introduced with the third one, which starts specifying the statistical model from which data are assumed to be drawn. The evolutionary approaches are, finally, compared with respect to classical partitional clustering algorithms on simulated data and on Fisher’s Iris dataset used as a benchmark.

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

  • Bandyopadhyay S., Murthy C.A., Pal S.K., “Pattern classification using genetic algorithm- Determination of H”, Pattern Recognition Letters 19, 1171–1181, 1998.

    Article  MATH  Google Scholar 

  • Banfield J.D:, Raftery A.E., “Model-Based Gaussian and Non-Gaussian Clustering”, Biometrics 49, 803–821, September 1993.

    Google Scholar 

  • Baragona R., Calzini C., Battaglia F., “Genetic algorithms and clustering: an application to Fisher’s iris data”, Advances in Classification and Data Analysis, Springer, pp. 65–68, 1999.

    Google Scholar 

  • Bock H.H., Probabilistic models in cluster analysis, Computational Statistics Data Analysis 23, pp. 5–28, 1996.

    Article  MATH  Google Scholar 

  • Calinski T., Harabasz J, Harabasz J., “A dendrite method for cluster analysis”, Communication in Statistics, 3(1), pp.l-27, 1974.

    Google Scholar 

  • Forgy E.W., “Cluster Analysis of Multivariate Data: Efficiency versus Interpretability of classification”, Biometrics, 21, 768–769, 1965.

    Google Scholar 

  • Fraley C., Raftery A.E., “MCLUST:software for model-based cluster and discriminant analysis”, Journal of Classification, 16, 297–306, 1999.

    Article  MATH  Google Scholar 

  • Friedman H.P. and Rubin J., “On some invariant criterion for grouping data”, Journal of the American Statistical Association 63, 1159–1178, 1967.

    Article  MathSciNet  Google Scholar 

  • Kim Y., Street W.N., and Menczer F. Feature selection in unsupervised learning via evolutionary search, in Proc. of the 661 ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, 365–369, 2000.

    Google Scholar 

  • Holland J.H., Adaptation in Natural and Artificial Systems, University of Michigan Press, Ann Harbor, 1975.

    Google Scholar 

  • Le T.V., Fuzzy Evolutionary Clustering,Proceedings of the In.l Conference on Evolutionary Computation, Perth, Nov. 29, 753–758, 1995.

    Google Scholar 

  • Liu G.L., Introduction to combinatorial mathematics,McGraw Hill, 1968.

    Google Scholar 

  • Marais J., Versini G., van Wyk C.J., Rapp A., Effect of region on free and bound monoterpene and C13 nonrisoprenoid concentration in Weisser Riesling wines, South African Journal of Enology and Viticulture, 13, 71–77, 1992.

    Google Scholar 

  • Marriott F.H.C., “Optimization methods of cluster analysis”, Biometrics, 69, 2, pp. 417–422, 1982.

    Article  MathSciNet  Google Scholar 

  • Paterlini S., Favaro S., Minerva T., Genetic Approaches for Data Clustering, Book of Short Papers, CLADAG2001, Palermo 7–8 July, 2001.

    Google Scholar 

  • Raghavan V.V., Birchand K, Birchand K., “ A clustering strategy based on a formalism of the reproductive process in a natural system”, in Proceedings of the Second International Conference on Information Storage and Retrieval, 10–22, 1979.

    Google Scholar 

  • Raymer M.L. et AAVV, “Dimensionality Reduction using Genetic Algorithms”, IEEE Transaction on Evolutionary Computation.

    Google Scholar 

  • Ricolfi L., HELGA Nuovi principi di analisi dei gruppi,FrancoAngeli s.r.l., Milano, Italy,1992.

    Google Scholar 

  • Ripley B.D. Pattern Recognition and Neural Networks,Cambridge University Press, 1996.

    Google Scholar 

  • Rudolph G., “Convergence analysis of canonical genetic algorithm”, IEEE Transactions on Neural Network, 5 (1): 96–101, January 1994.

    Article  Google Scholar 

  • Srikanth R., George R., Warsi N., Prabhu D., Petry F.E., Buckles B.P., “A variable-length genetic algorithm for clustering and classification”, Pattern Recognition Letters 16, 789–800, 16, 1995.

    Google Scholar 

  • Tseng Y.L. e Yang S.B., “ A genetic approach to the automatic clustering problem”, Pattern Recognition, Vol. 34 (2), pp. 415–424 (2001).

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Paterlini, S., Minerva, T. (2003). Evolutionary Approaches for Cluster Analysis. In: Bonarini, A., Masulli, F., Pasi, G. (eds) Soft Computing Applications. Advances in Soft Computing, vol 18. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1768-3_15

Download citation

  • DOI: https://doi.org/10.1007/978-3-7908-1768-3_15

  • Publisher Name: Physica, Heidelberg

  • Print ISBN: 978-3-7908-1544-3

  • Online ISBN: 978-3-7908-1768-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics