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A Graph Partitioning Approach to SOM Clustering

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Intelligent Data Engineering and Automated Learning - IDEAL 2011 (IDEAL 2011)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 6936))

Abstract

Determining the number of clusters has been one of the most difficult problems in data clustering. The Self-Organizing Map (SOM) has been widely used for data visualization and clustering. The SOM can reduce the complexity in terms of computation and noise of input patterns. However, post processing steps are needed to extract the real data structure learnt by the map. One approach is to use other algorithm, such as K-means, to cluster neurons. Finding the best value of K can be aided by using an cluster validity index. On the other hand, graph–based clustering has been used for cluster analysis. This paper addresses an alternative methodology using graph theory for SOM clustering. The Davies–Bouldin index is used as a cluster validity to analyze inconsistent neighboring relations between neurons. The result is a segmented map, which indicates the number of clusters as well as the labeled neurons. This approach is compared with the traditional approach using K-means. The experimental results using the approach addressed here with three different databases presented consistent results of the expected number of clusters.

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References

  1. Jain, A.L.: Data clustering: 50 years beyond K-Means. Pattern Recognition Letter 31(8), 651–666 (2010)

    Article  Google Scholar 

  2. Wu, Z., Leahy, R.: An optimal graph thoretic approach to data clustering: theory ans its application to image segmentation. IEEE Transactions on Pattern Analysis and Machine Intelligence 15(11) (November 1993)

    Google Scholar 

  3. Duda, R., Hart, P., Stork, D.: Pattern Classification and Scene Analysis. John Wiley Professio. Wiley (2000)

    Google Scholar 

  4. Sassi, R., Silva, L.A., Del-Moral-Hernandez, E.: A Methodology Using Neural Network to Cluster Validity Discovered from a Marketing Database. In: Brazilian Symposium on Neural Networks, SBRN 2008, vol. 08, pp. 3–8 (2008)

    Google Scholar 

  5. Lew, M.S., Sebe, N., Djeraba, C., Jain, R.: Content-Based Multimedia Information Retrieval: State of the Art and Challenges. ACM Transactions on Multimedia Computing, Communications and Applications 2(1), 1–19 (2006)

    Article  Google Scholar 

  6. Vesanto, J., Alhoniemi, E.: Clustering of the self-organizing map. IEEE Transaction on Neural Network 11, 586–600 (2000)

    Article  Google Scholar 

  7. Kohonen, T.: Self-Organizing Maps. Third extended edn. Springer, Heidelberg (2001)

    Book  MATH  Google Scholar 

  8. Costa, J.A.F., Netto, M.L.A.: Segmentação do SOM baseada en particionamento de grafos. In: Proceedings of the VI Brazilian Conference on Neural Networks - CBRN, pp. 451–456 (2003)

    Google Scholar 

  9. Davies, D.L., Bouldin, D.W.: A cluster separation measure. IEEE Trans Patt. Anal. Machine Intell., PAMI-1, 224–227 (1979)

    Article  Google Scholar 

  10. Halkidi, M., Batistakis, Y., Michalis, V.: On Clustering Validation Techniques. Journal of Intelligent Information Systems 17(2), 107–145 (2002)

    MATH  Google Scholar 

  11. SOMToolbox. SOM toolbox, a function package for matlab 5 implementing the self-organizing maps, SOM (2011), http://www.cis.hut.fi/projects/somtoolbox/

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© 2011 Springer-Verlag Berlin Heidelberg

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Silva, L.A., Costa, J.A.F. (2011). A Graph Partitioning Approach to SOM Clustering. In: Yin, H., Wang, W., Rayward-Smith, V. (eds) Intelligent Data Engineering and Automated Learning - IDEAL 2011. IDEAL 2011. Lecture Notes in Computer Science, vol 6936. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23878-9_19

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  • DOI: https://doi.org/10.1007/978-3-642-23878-9_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-23877-2

  • Online ISBN: 978-3-642-23878-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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