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R-Map: Mapping Categorical Data for Clustering and Visualization Based on Reference Sets

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Advances in Knowledge Discovery and Data Mining (PAKDD 2008)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5012))

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Abstract

In this paper, we propose a framework that maps categorical data into a numerical data space via a reference set, aiming to make the existing numerical clustering algorithms directly applicable on the generated image data set as well as to visualize the data. Using statistics theories, we analyze our framework and give the conditions under which the data mapping is efficient and yet preserves a flexible property of the original data, i.e. the data points within the same cluster are more similar. The algorithm is simple and has good effectiveness under some conditions. The experimental evaluation on numerous categorical data sets shows that it not only outperforms the related data mapping approaches but also beats some categorical clustering algorithms in terms of effectiveness and efficiency.

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References

  1. Cox, T.F., Cox, M.A. (eds.): Multidimensional scaling. Chapman and Hall, London (1995)

    Google Scholar 

  2. Ding, C.: Spectral clustering. icml2004 tutorial (2004)

    Google Scholar 

  3. Newman, D.J., Hettich, S., Blake, C.L., Merz, C.: UCI repository of machine learning databases (1998), http://www.ics.uci.edu/~mlearn/mlrepository.html

  4. Huang, Z.X.: A fast clustering algorithm to cluster very large categorical data sets in data mining. In: Proceedings ACM SIGMOD International Conference on Management of Data, ACM Press, New York (1997)

    Google Scholar 

  5. Kaufman, L., Rousseeuw, P. (eds.): Finding Groups in Data: An Introduction to Cluster Analysis. Wiley, New York (1990)

    Google Scholar 

  6. MacQueen: Some methods for classification and analysis of multivariate observations. In: Proc. 5th Symposium at Mathematical Statistics and Probability (1965)

    Google Scholar 

  7. Platt, J.: Fastmap, metricmap, and landmark mds are all nystrom algorithms. In: Proc. 10th International Workshop on Artificial Intelligence and Statistics, pp. 261–268 (2005)

    Google Scholar 

  8. Roweis, S., Lawrenece, S.: Nonlinear dimensionality reduction by locally linear embedding. Science

    Google Scholar 

  9. Guha, S., Rastogi, R., Shim, K.: Rock: A robust clustering algorithm for categorical attributes. Information Systems 25, 345–366 (2000)

    Article  Google Scholar 

  10. Silva, V., Tenenbaum, J.B.: Global versus local methods in nonlinear dimensionality reduction. In: Proc. NIPS 2003, pp. 721–728 (2003)

    Google Scholar 

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Takashi Washio Einoshin Suzuki Kai Ming Ting Akihiro Inokuchi

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© 2008 Springer-Verlag Berlin Heidelberg

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Shen, ZY., Sun, J., Shen, YD., Li, M. (2008). R-Map: Mapping Categorical Data for Clustering and Visualization Based on Reference Sets. In: Washio, T., Suzuki, E., Ting, K.M., Inokuchi, A. (eds) Advances in Knowledge Discovery and Data Mining. PAKDD 2008. Lecture Notes in Computer Science(), vol 5012. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-68125-0_104

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  • DOI: https://doi.org/10.1007/978-3-540-68125-0_104

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-68124-3

  • Online ISBN: 978-3-540-68125-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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