Skip to main content

Fuzzy Clustering of the Self-Organizing Map: Some Applications on Financial Time Series

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6731))

Abstract

The Self-organizing map (SOM) has been widely used in financial applications, not least for time-series analysis. The SOM has not only been utilized as a stand-alone clustering technique, its output has also been used as input for second-stage clustering. However, one ambiguity with the SOM clustering is that the degree of membership in a particular cluster is not always easy to judge. To this end, we propose a fuzzy C-means clustering of the units of two previously presented SOM models for financial time-series analysis: financial benchmarking of companies and monitoring indicators of currency crises. It allows each time-series point to have a partial membership in all identified, but overlapping, clusters, where the cluster centers express the representative financial states for the companies and countries, while the fluctuations of the membership degrees represent their variations over time.

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. Kohonen, T.: Self-organized formation of topologically correct feature maps. Biological Cybernetics 66, 59–69 (1982)

    Article  MathSciNet  MATH  Google Scholar 

  2. Ultsch, A., Siemon, H.P.: Kohonen’s self organizing feature maps for exploratory data analysis. In: Proceedings of the International Conference on Neural Networks, pp. 305–308. Kluwer, Dordrecht (1990)

    Google Scholar 

  3. Lampinen, J., Oja, E.: Clustering properties of hierarchical self-organizing maps. Journal of Mathematical Imaging and Vision 2(2–3), 261–272 (1992)

    Article  MATH  Google Scholar 

  4. Murtagh, F.: Interpreting the Kohonen self-organizing feature map using contiguity-constrained clustering. Pattern Recognition Letters 16(4), 399–408 (1995)

    Article  Google Scholar 

  5. Kiang, M.Y.: Extending the Kohonen self-organizing map networks for clustering analysis. Computational Statistics and Data Analysis 38, 161–180 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  6. Vesanto, J., Sulkava, M.: Distance Matrix Based Clustering of the Self-Organizing Map. In: Dorronsoro, J.R. (ed.) ICANN 2002. LNCS, vol. 2415, pp. 951–956. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  7. Vesanto, J., Alhoniemi, E.: Clustering of the self-organizing map. IEEE Transactions on Neural Networks 11(3), 586–600 (2000)

    Article  Google Scholar 

  8. Bezdek, J.C.: Pattern Recognition with Fuzzy Objective Function Algorithms. Plenum Press, New York (1981)

    Book  MATH  Google Scholar 

  9. Eklund, T., Back, B., Vanharanta, H., Visa, A.: Using the Self-Organizing Map as a Visualization Tool in Financial Benchmarking. Information Visualization 2, 171–181 (2003)

    Article  Google Scholar 

  10. Sarlin, P.: Visual monitoring of financial stability with a self-organizing neural network. In: Proceedings of the 10th IEEE International Conference on Intelligent Systems Design and Applications, pp. 248–253. IEEE Press, Los Alamitos (2010)

    Google Scholar 

  11. Liu, S., Lindholm, C.: Assessing the Early Warning Signals of Financial Crises: A Fuzzy Clustering Approach. Intelligent Systems in Accounting, Finance & Management 14, 179–202 (2006)

    Article  Google Scholar 

  12. Kohonen, T.: Self-Organizing Maps. Springer, Berlin (2001)

    Book  MATH  Google Scholar 

  13. Dunn, J.C.: A Fuzzy Relative of the ISODATA Process and its Use in Detecting Compact, Well-Separated Clusters. Cybernetics and Systems 3, 32–57 (1973)

    MathSciNet  MATH  Google Scholar 

  14. Eklund, T., Back, B., Vanharanta, H., Visa, A.: Evaluating a SOM-Based Financial Benchmarking Tool. Journal of Emerging Technologies in Accounting 5, 109–127 (2008)

    Article  Google Scholar 

  15. Guiver, J.P., Klimasauskas, C.C.: Applying Neural Networks, Part IV: Improving Performance. PC AI Magazine 5, 34–41 (1991)

    Google Scholar 

  16. Ward, J.: Hierarchical grouping to optimize an objective function. Journal of the American Statistical Association 58, 236–244 (1963)

    Article  MathSciNet  Google Scholar 

  17. Resta, M.: Early Warning Systems: an approach via Self Organizing Maps with applications to emergent markets. In: Proceedings of the 18th Italian Workshop on Neural Networks, pp. 176–184. IOS Press, Amsterdam (2009)

    Google Scholar 

  18. Berg, A., Pattillo, C.: What caused the Asian crises: An early warning system approach. Economic Notes 28, 285–334 (1999)

    Article  Google Scholar 

  19. Sarlin, P., Marghescu, D.: Visual Predictions of Currency Crises using Self-Organizing Maps. Intelligent Systems in Accounting, Finance and Management (forthcoming, 2011)

    Google Scholar 

  20. Marghescu, D., Sarlin, P., Liu, S.: Early Warning Analysis for Currency Crises in Emerging Markets: A Revisit with Fuzzy Clustering. Intelligent Systems in Accounting, Finance and Management 17(2–3), 143–165 (2010)

    Article  Google Scholar 

  21. Bezdek, J.C.: Cluster validity with fuzzy sets. Cybernetics 3, 58–73 (1974)

    Article  MathSciNet  MATH  Google Scholar 

  22. Xie, X.L., Beni, G.: A validity measure for fuzzy clustering. IEEE Transactions on Pattern Analysis and Machine Intelligence 13(8), 841–847 (1991)

    Article  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

Sarlin, P., Eklund, T. (2011). Fuzzy Clustering of the Self-Organizing Map: Some Applications on Financial Time Series. In: Laaksonen, J., Honkela, T. (eds) Advances in Self-Organizing Maps. WSOM 2011. Lecture Notes in Computer Science, vol 6731. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21566-7_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-21566-7_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21565-0

  • Online ISBN: 978-3-642-21566-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics