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A New Adaptation of Self-Organizing Map for Dissimilarity Data

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4507))

Abstract

Adaptation of the Self-Organizing Map to dissimilarity data is of a growing interest. For many applications, vector representation is not available and but only proximity data (distance, dissimilarity, similarity, ranks ...). In this article, we present a new adaptation of the SOM algorithm which is compared with two existing ones. Three metrics for quality estimate (quantization and neighborhood) are used for comparison. Numerical experiments on artificial and real data show the algorithm quality. The strong point of the proposed algorithm comes from a more accurate prototype estimate which is one of the difficult parts of Dissimilarity SOM algorithms (DSOM).

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References

  1. Kohonen, T.: Self-Organizing Maps. Springer, New York (1997)

    MATH  Google Scholar 

  2. Levenshtein, V.I.: Binary codes capable of correcting deletions, insertions and reversals. Soviet Physics Dokl. 10(8), 707–710 (1966)

    MathSciNet  Google Scholar 

  3. Borg, I., Groenen, P.: Modern Multidimensional Scaling: Theory and Applications. Springer, New York (1997)

    MATH  Google Scholar 

  4. Graepel, T., Obermayer, K.A.: stochastic self-organizing map for proximity data. Neural Computation 11(1), 139–155 (1999)

    Article  Google Scholar 

  5. Kohonen, T., Somervuo, P.J.: Self-organizing maps for symbol strings. Neurocomputing 21, 19–30 (1998)

    Article  MATH  Google Scholar 

  6. Kohonen, T., Somervuo, P.J.: How to make large self-organizing maps for non vectorial data. Neural networks 21(8) (2002)

    Google Scholar 

  7. El Golli, A., Conan-Guez, B., Rossi, F.: A self organizing map for dissimilarity data. In: IFCS-04, International Federation of Classification Societies, Chicago, pp. 61–68 (2004)

    Google Scholar 

  8. Ambroise, C., Govaert, G.: Analyzing dissimilarity matrices via Kohonen maps. In: IFCS-96, vol. 2, Kobe, Japan, pp. 96–99. Int. Federation of Classification Societies (1996)

    Google Scholar 

  9. Conan-Guez, B., Rossi, F., El Golli, A.: Fast algorithm and implementation of dissimilarity self-organizing maps. Neural Networks 19(6-7), 855–863 (2006)

    Article  MATH  Google Scholar 

  10. Martínez, C.D., Juan, A., Casacuberta, F.: Improving classification using median string and NN rules. In: IX Spanish Symp. on Pattern Recog. and Image Analysis, vol. 2, pp. 391–395 (2001)

    Google Scholar 

  11. http://www.cis.hut.fi/projects/somtoolbox/documentation/

  12. Joly, S., Le Calvé, G.: Similarity functions. In: Van Cutsem, B. (ed.) Classification and Dissimilarity Analysis. Lecture Notes in Statistics, Springer, New York (1994)

    Google Scholar 

  13. Venna, J., Kaski, S.: Neighborhood Preservation in Nonlinear Projection Methods: An Experimental Study. In: Dorffner, G., Bischof, H., Hornik, K. (eds.) ICANN 2001. LNCS, vol. 2130, pp. 485–491. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  14. http://algoval.essex.ac.uk:8080/data/sequence/chicken/chicken.tgz

  15. http://wordlist.sourceforge.net/

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Francisco Sandoval Alberto Prieto Joan Cabestany Manuel Graña

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© 2007 Springer-Verlag Berlin Heidelberg

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Ho-Phuoc, T., Guérin-Dugué, A. (2007). A New Adaptation of Self-Organizing Map for Dissimilarity Data. In: Sandoval, F., Prieto, A., Cabestany, J., Graña, M. (eds) Computational and Ambient Intelligence. IWANN 2007. Lecture Notes in Computer Science, vol 4507. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73007-1_27

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  • DOI: https://doi.org/10.1007/978-3-540-73007-1_27

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-73006-4

  • Online ISBN: 978-3-540-73007-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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