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Iberoamerican Congress on Pattern Recognition

CIARP 2005: Progress in Pattern Recognition, Image Analysis and Applications pp 368–376Cite as

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Conceptual K-Means Algorithm with Similarity Functions

Conceptual K-Means Algorithm with Similarity Functions

  • I. O. Ayaquica-Martínez18,
  • J. F. Martínez-Trinidad18 &
  • J. A. Carrasco-Ochoa18 
  • Conference paper
  • 1065 Accesses

  • 1 Citations

Part of the Lecture Notes in Computer Science book series (LNIP,volume 3773)

Abstract

The conceptual k-means algorithm consists of two steps. In the first step the clusters are obtained (aggregation step) and in the second one the concepts or properties for those clusters are generated (characterization step). We consider the conceptual k-means management of mixed, qualitative and quantitative, features is inappropriate. Therefore, in this paper, a new conceptual k-means algorithm using similarity functions is proposed. In the aggregation step we propose to use a different clustering strategy, which allows working in a more natural way with object descriptions in terms of quantitative and qualitative features. In addition, an improvement of the characterization step and a new quality measure for the generated concepts are presented. Some results obtained after applying both, the original and the modified algorithms on different databases are shown. Also, they are compared using the proposed quality measure.

Keywords

  • Similarity Function
  • Qualitative Feature
  • Comparison Function
  • Quantitative Feature
  • Aggregation Step

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This work was financially supported by CONACyT (México) through the project J38707-A.

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References

  1. Hanson, S.J.: Conceptual clustering and categorization: bridging the gap between induction and causal models. In: Kodratoff, Y., Michalski, R.S. (eds.) Machine Learning: an artificial intelligence approach, vol. 3, pp. 235–268. Morgan Kaufmann, Los Altos (1990)

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  2. Ralambondrainy, H.: A conceptual version of the K-means algorithm. Pattern Recognition Letters 16, 1147–1157 (1995)

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  4. García Serrano, J.R., Martínez-Trinidad, J.F.: Extension to k-means algorithm for the use of similarity functions. In: 3rd European Conference on Principles of Data Mining and Knowledge Discovery Proceedings, Prague, Czech. Republic, pp. 354–359 (1999)

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  5. http://www.ics.uci.edu/pub/machine-learning-databases/

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Author information

Authors and Affiliations

  1. Computer Science Department, National Institute of Astrophysics, Optics and Electronics, Luis Enrique Erro # 1, Santa María Tonantzintla, Puebla, C.P. 72840, Mexico

    I. O. Ayaquica-Martínez, J. F. Martínez-Trinidad & J. A. Carrasco-Ochoa

Authors
  1. I. O. Ayaquica-Martínez
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  2. J. F. Martínez-Trinidad
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  3. J. A. Carrasco-Ochoa
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Editor information

Editors and Affiliations

  1. Dept. System Engineering and Automation, Universitat Politècnica de Catalunya (UPC) Barcelona, Spain

    Alberto Sanfeliu

  2. Pattern Recognition Group, ICIMAF, Havana, Cuba

    Manuel Lazo Cortés

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© 2005 Springer-Verlag Berlin Heidelberg

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Cite this paper

Ayaquica-Martínez, I.O., Martínez-Trinidad, J.F., Carrasco-Ochoa, J.A. (2005). Conceptual K-Means Algorithm with Similarity Functions. In: Sanfeliu, A., Cortés, M.L. (eds) Progress in Pattern Recognition, Image Analysis and Applications. CIARP 2005. Lecture Notes in Computer Science, vol 3773. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11578079_39

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  • DOI: https://doi.org/10.1007/11578079_39

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-29850-2

  • Online ISBN: 978-3-540-32242-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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