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Generalized Tree-Like Self-Organizing Neural Networks with Dynamically Defined Neighborhood for Cluster Analysis

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Artificial Intelligence and Soft Computing (ICAISC 2014)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 8468))

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Abstract

The paper presents a generalization of self-organizing neural networks of spanning-tree-like structures and with dynamically defined neighborhood (SONNs with DDN, for short) for complex cluster-analysis problems. Our approach works in a fully-unsupervised way, i.e., it operates on unlabelled data and it does not require to predefine the number of clusters in a given data set. The generalized SONNs with DDN, in the course of learning, are able to disconnect their neuron structures into sub-structures and to reconnect some of them again as well as to adjust the overall number of neurons in the system. These features enable them to detect data clusters of virtually any shape and density including both volumetric ones and thin, shell-like ones. Moreover, the neurons in particular sub-networks create multi-point prototypes of the corresponding clusters. The operation of our approach has been tested using several diversified synthetic data sets and two benchmark data sets yielding very good results.

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References

  1. Everitt, B.S., Landau, S., Leese, M.: Cluster Analysis, 4th edn. A Hodder Arnold Publication, J. Willey, London (2001)

    MATH  Google Scholar 

  2. Forti, A., Foresti, G.L.: Growing hierarchical tree SOM: An unsupervised neural network with dynamic topology. Neural Networks 19, 1568–1580 (2006)

    Article  MATH  Google Scholar 

  3. Fritzke, B.: Growing cell structures - a self-organizing network for unsupervised and supervised learning. Neural Networks 7, 1441–1460 (1994)

    Article  Google Scholar 

  4. Ghaseminezhad, M.H., Karami, A.: A novel self-organizing map (SOM) neural network for discrete groups of data clustering. Applied Soft Computing 11, 3771–3778 (2011)

    Article  Google Scholar 

  5. Gorzałczany, M.B., Rudziński, F.: Application of genetic algorithms and Kohonen networks to cluster analysis. In: Rutkowski, L., Siekmann, J.H., Tadeusiewicz, R., Zadeh, L.A. (eds.) ICAISC 2004. LNCS (LNAI), vol. 3070, pp. 556–561. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  6. Gorzałczany, M.B., Rudziński, F.: Modified Kohonen networks for complex cluster-analysis problems. In: Rutkowski, L., Siekmann, J.H., Tadeusiewicz, R., Zadeh, L.A. (eds.) ICAISC 2004. LNCS (LNAI), vol. 3070, pp. 562–567. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  7. Gorzałczany, M.B., Rudziński, F.: Cluster analysis via dynamic self-organizing neural networks. In: Rutkowski, L., Tadeusiewicz, R., Zadeh, L.A., Żurada, J.M. (eds.) ICAISC 2006. LNCS (LNAI), vol. 4029, pp. 593–602. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  8. Gorzałczany, M.B., Rudziński, F.: Application of dynamic self-organizing neural networks to WWW-document clustering. ICAISC 2006 1(1), 89–101 (2006); (also presented at 8th Int. Conference on Artificial Intelligence and Soft Computing ICAISC 2006). Zakopane (2006)

    Google Scholar 

  9. Gorzałczany, M.B., Rudziński, F.: WWW-newsgroup-document clustering by means of dynamic self-organizing neural networks. In: Rutkowski, L., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2008. LNCS (LNAI), vol. 5097, pp. 40–51. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  10. Kohonen, T.: Self-organizing Maps, 3rd edn. Springer, Heidelberg (2000)

    Google Scholar 

  11. Koikkalainen, P., Oja, E.: Self-organizing hierarchical feature maps. In: Proc. of 1990 International Joint Conference on Neural Networks, San Diego, CA, vol. II, pp. 279–284 (1990)

    Google Scholar 

  12. Machine Learning Database Repository. University of California at Irvine, http://ftp.ics.uci.edu

  13. Martinez, T., Schulten, K.: A ”Neural-Gas” network learns topologies. In: Kohonen, T., et al. (eds.) Artificial Neural Networks, pp. 397–402. Elsevier, Amsterdam (1991)

    Google Scholar 

  14. Pakkanen, J., Iivarinen, J., Oja, E.: The evolving tree - a novel self-organizing network for data analysis. Neural Processing Letters 20, 199–211 (2004)

    Article  Google Scholar 

  15. Pedrycz, W.: Knowledge-Based Clustering: From Data to Information Granules. J. Willey, Hoboken (2005)

    Book  Google Scholar 

  16. Samsonova, E.V., Kok, J.N., IJzerman Ad, P.: TreeSOM: Cluster analysis in the self-organizing map. Neural Networks 19, 935–949 (2006)

    Article  MATH  Google Scholar 

  17. Shen, F., Hasegawa, O.: An incremental network for on-line unsupervised classification and topology learning. Neural Networks 19, 90–106 (2006)

    Article  MATH  Google Scholar 

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Gorzałczany, M.B., Piekoszewski, J., Rudziński, F. (2014). Generalized Tree-Like Self-Organizing Neural Networks with Dynamically Defined Neighborhood for Cluster Analysis. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds) Artificial Intelligence and Soft Computing. ICAISC 2014. Lecture Notes in Computer Science(), vol 8468. Springer, Cham. https://doi.org/10.1007/978-3-319-07176-3_62

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  • DOI: https://doi.org/10.1007/978-3-319-07176-3_62

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-07175-6

  • Online ISBN: 978-3-319-07176-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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