Skip to main content

Multi-Sphere Support Vector Clustering

  • Conference paper
Book cover Neural Information Processing (ICONIP 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7063))

Included in the following conference series:

Abstract

Current support vector clustering method determines the smallest sphere that encloses the image of a dataset in feature space. This sphere when mapped back to data space will form a set of contours that can be interpreted as cluster boundaries for the dataset. However this method does not guarantee that the single sphere and the resulting cluster boundaries can best describe the dataset if there are some distinctive data distributions in this dataset. We propose multi-sphere support vector clustering to address this issue. Data points in data space are mapped to a high dimensional feature space and a set of smallest spheres that encloses the image of the dataset is determined. This set of spheres when mapped back to data space will form a set of contours that can be interpreted as cluster boundaries. Experiments on different datasets are performed to demonstrate that the proposed approach provides a better cluster analysis than the current support vector clustering method.

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. Bezdek, J.C.: A review of probabilistic, fuzzy and neural models for pattern recognition. Journal of Intelligent and Fuzzy Systems 1(1), 1–25 (1993)

    Google Scholar 

  2. Duda, R.O., Hart, P.E.: Pattern classification and scene analysis. John Wiley & Sons (1973)

    Google Scholar 

  3. Tran, D., Wagner, M.: Fuzzy Entropy Clustering. In: Proceedings of FUZZ-IEEE, vol. 1, pp. 152–157 (2000)

    Google Scholar 

  4. Ben-Hur, A., Horn, D., Siegelmann, H.T., Vapnik, V.: Support vector clustering. Journal of Machine Learning Research 2, 125–137 (2001)

    MATH  Google Scholar 

  5. Vapnik, V.: The nature of statistical learning theory. Springer, Heidelberg (1995)

    Book  MATH  Google Scholar 

  6. Yang, J., Estivill-Castro, V., Chalup, S.K.: Support vector clustering through proximity graph modelling. In: Proceedings of the 9th International Conference on Neural Information Processing, vol. 2, pp. 898–903 (2002)

    Google Scholar 

  7. Tax, D.M.J., Duin, R.P.W.: Support vector data description. Machine Learning 54, 45–56 (2004)

    Article  MATH  Google Scholar 

  8. Witten, I., Frank, E.: Data Mining: Practical Machine Learning Tools and Techniques, 2nd edn. Morgan Kaufmann (2005)

    Google Scholar 

  9. Le, T., Tran, D., Ma, W., Sharma, D.: Multiple Distribution Data Description Learning Algorithm for Novelty Detection. In: Huang, J.Z., Cao, L., Srivastava, J. (eds.) PAKDD 2011, Part II. LNCS, vol. 6635, pp. 246–257. Springer, Heidelberg (2011)

    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

Le, T., Tran, D., Nguyen, P., Ma, W., Sharma, D. (2011). Multi-Sphere Support Vector Clustering. In: Lu, BL., Zhang, L., Kwok, J. (eds) Neural Information Processing. ICONIP 2011. Lecture Notes in Computer Science, vol 7063. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24958-7_62

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-24958-7_62

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-24957-0

  • Online ISBN: 978-3-642-24958-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics