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Dirichlet Process Mixture Models with Pairwise Constraints for Data Clustering

Author

Listed:
  • Cheng Li

    (Deakin University)

  • Santu Rana

    (Deakin University)

  • Dinh Phung

    (Deakin University)

  • Svetha Venkatesh

    (Deakin University)

Abstract

The Dirichlet process mixture (DPM) model, a typical Bayesian nonparametric model, can infer the number of clusters automatically, and thus performing priority in data clustering. This paper investigates the influence of pairwise constraints in the DPM model. The pairwise constraint, known as two types: must-link (ML) and cannot-link (CL) constraints, indicates the relationship between two data points. We have proposed two relevant models which incorporate pairwise constraints: the constrained DPM (C-DPM) and the constrained DPM with selected constraints (SC-DPM). In C-DPM, the concept of chunklet is introduced. ML constraints are compiled into chunklets and CL constraints exist between chunklets. We derive the Gibbs sampling of the C-DPM based on chunklets. We further propose a principled approach to select the most useful constraints, which will be incorporated into the SC-DPM. We evaluate the proposed models based on three real datasets: 20 Newsgroups dataset, NUS-WIDE image dataset and Facebook comments datasets we collected by ourselves. Our SC-DPM performs priority in data clustering. In addition, our SC-DPM can be potentially used for short-text clustering.

Suggested Citation

  • Cheng Li & Santu Rana & Dinh Phung & Svetha Venkatesh, 2016. "Dirichlet Process Mixture Models with Pairwise Constraints for Data Clustering," Annals of Data Science, Springer, vol. 3(2), pages 205-223, June.
    • Handle: RePEc:spr:aodasc:v:3:y:2016:i:2:d:10.1007_s40745-016-0082-z
    DOI: 10.1007/s40745-016-0082-z
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    References listed on IDEAS

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    1. Stephen Johnson, 1967. "Hierarchical clustering schemes," Psychometrika, Springer;The Psychometric Society, vol. 32(3), pages 241-254, September.
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