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A Note on the Formal Implementation of the K-means Algorithm with Hard Positive and Negative Constraints

Author

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  • Igor Melnykov

    (University of Minnesota - Duluth)

  • Volodymyr Melnykov

    (The University of Alabama)

Abstract

The paper discusses a new approach for incorporating hard constraints into the K-means algorithm for semi-supervised clustering. An analytic modification of the objective function of K-means is proposed that has not been previously considered in the literature.

Suggested Citation

  • Igor Melnykov & Volodymyr Melnykov, 2020. "A Note on the Formal Implementation of the K-means Algorithm with Hard Positive and Negative Constraints," Journal of Classification, Springer;The Classification Society, vol. 37(3), pages 789-809, October.
    • Handle: RePEc:spr:jclass:v:37:y:2020:i:3:d:10.1007_s00357-019-09349-x
    DOI: 10.1007/s00357-019-09349-x
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    References listed on IDEAS

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    1. Marek Śmieja & Magdalena Wiercioch, 2017. "Constrained clustering with a complex cluster structure," Advances in Data Analysis and Classification, Springer;German Classification Society - Gesellschaft für Klassifikation (GfKl);Japanese Classification Society (JCS);Classification and Data Analysis Group of the Italian Statistical Society (CLADAG);International Federation of Classification Societies (IFCS), vol. 11(3), pages 493-518, September.
    2. Melnykov, Volodymyr & Chen, Wei-Chen & Maitra, Ranjan, 2012. "MixSim: An R Package for Simulating Data to Study Performance of Clustering Algorithms," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 51(i12).
    3. Geoffrey Barbier & Reza Zafarani & Huiji Gao & Gabriel Fung & Huan Liu, 2012. "Maximizing benefits from crowdsourced data," Computational and Mathematical Organization Theory, Springer, vol. 18(3), pages 257-279, September.
    4. Wayne DeSarbo & Vijay Mahajan, 1984. "Constrained classification: The use of a priori information in cluster analysis," Psychometrika, Springer;The Psychometric Society, vol. 49(2), pages 187-215, June.
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