Skip to main content

A Novel Linear Cellular Automata-Based Data Clustering Algorithm

  • Conference paper
  • 1131 Accesses

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6686))

Abstract

In this paper we propose a novel data clustering algorithm based on the idea of considering the individual data items as cells belonging to an uni-dimensional cellular automaton. Our proposed algorithm combines insights from both social segregation models based on Cellular Automata Theory, where the data items themselves are able to move autonomously in lattices, and also from Ants Clustering algorithms, particularly in the idea of distributing at random the data items to be clustered in lattices. We present a series of experiments with both synthetic and real datasets in order to study empirically the convergence and performance results. These experimental results are compared to the obtained by conventional clustering algorithms.

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

Buying options

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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Beckers, R., Holland, O., Deneubourg, J.: From local actions to global tasks: stigmergy and collective robotics. In: Brooks, R., Maes, P. (eds.) Artificial Life IV, pp. 181–189. The MIT Press, Cambridge (1994)

    Google Scholar 

  2. Chen, L., Xu, X., Chen, Y: An adaptive ant colony clustering algorithm. In: Proc. 3rd Int. Conf. on Machine Learning and Cybernetics, pp. 1387–1392 (2004)

    Google Scholar 

  3. Fisher, R.A.: The use of multiple measurements in taxonomic problems. Annual Eugenics, 7, Part II, 179–188 (1936)

    Google Scholar 

  4. Frank, A., Asuncion, A.: UCI Machine Learning Repository (2010), http://archive.ics.uci.edu/ml

  5. Gallego, J., Hernández, C., Graña, M.: A morphological cellular automata based on morphological independence. Logic Journal of the IGPL (in press)

    Google Scholar 

  6. Ganguly, N., Sikdar, B., Deutsch, A., Canright, G., Chaudhuri, P.: A survey on cellular automata. Tech. rep. (2003)

    Google Scholar 

  7. Hegselmann, R.: Modeling social dynamics by cellular automata. In: Liebrand, W., Nowak, A., Hegselmann, R. (eds.) Computer Modeling of Social Processes, pp. 37–64. SAGE Publications, London (1998)

    Google Scholar 

  8. Ilachinski, A.: Cellular Automata. A discrete universe. World Scientific, Singapore (2001)

    Book  MATH  Google Scholar 

  9. Kiran Sree, P., Raju, G., Ramesh Babu, I., Viswanadha Raju, S.: Improving quality of clustering using cellular automata for information retrieval. Journal of Computer Science 4(2), 167–171 (2008)

    Article  Google Scholar 

  10. Neumann, J.V.: Theory of Self-reproducing Autamata. In: Burks, A.W. (ed.), University of Illinois Press, Urbana (1966)

    Google Scholar 

  11. Saha, S., Maji, P., Ganguly, N., Roy, S., Chaudhuri, P.P.: Cellular automata based model for pattern clustering. In: Proc. 5th Int. Conf. on Advances in Pattern Recognition, pp. 122–126 (2003)

    Google Scholar 

  12. Schelling, T.: Dynamic models of segregation. Journal of Mathematical Sociology 1(2), 143–186 (1971)

    Article  MATH  Google Scholar 

  13. Moere, A.V., Clayden, J.J., Dong, A.: Data clustering and visualization using cellular automata ants. In: Sattar, A., Kang, B.-h. (eds.) AI 2006. LNCS (LNAI), vol. 4304, pp. 826–836. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  14. Wolfram, S.: A new kind of science. Wolfram Media, Inc., Champaign (2002)

    MATH  Google Scholar 

  15. Xu, X., Chen, L., He, P.: Ant clustering embeded in cellular automata. In: Capcarrère, M.S., Freitas, A.A., Bentley, P.J., Johnson, C.G., Timmis, J. (eds.) ECAL 2005. LNCS (LNAI), vol. 3630, pp. 562–571. Springer, Heidelberg (2005)

    Chapter  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

de Lope, J., Maravall, D. (2011). A Novel Linear Cellular Automata-Based Data Clustering Algorithm. In: Ferrández, J.M., Álvarez Sánchez, J.R., de la Paz, F., Toledo, F.J. (eds) Foundations on Natural and Artificial Computation. IWINAC 2011. Lecture Notes in Computer Science, vol 6686. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21344-1_8

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-21344-1_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21343-4

  • Online ISBN: 978-3-642-21344-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics