skip to main content
10.1145/1273496.1273522acmotherconferencesArticle/Chapter ViewAbstractPublication PagesicmlConference Proceedingsconference-collections
Article

Intractability and clustering with constraints

Published:20 June 2007Publication History

ABSTRACT

Clustering with constraints is a developing area of machine learning. Various papers have used constraints to enforce particular clusterings, seed clustering algorithms and even learn distance functions which are then used for clustering. We present intractability results for some constraint combinations and illustrate both formally and experimentally the implications of these results for using constraints with clustering.

References

  1. {Ausiello et. al. 1999} Ausiello G., et. al., Complexity and Approximation, Springer, 1999. Google ScholarGoogle ScholarDigital LibraryDigital Library
  2. {Basu et. al. 2002} Basu S., Banerjee A. & Mooney R., "Semisupervised Learning by Seeding", ICML 2002. Google ScholarGoogle ScholarDigital LibraryDigital Library
  3. {Basu et. al. 2004a} Basu S., Bilenko M. & Mooney R., "Active Semi-Supervision for Pairwise Constrained Clustering", SIAM Data Mining, 2002.Google ScholarGoogle Scholar
  4. {Basu et. al. 2004b} Basu S., Bilenko M. & Mooney R., "A Probabilistic Framework for Semi-Supervised Clustering", ACM KDD, 2004. Google ScholarGoogle ScholarDigital LibraryDigital Library
  5. {Davidson and Ravi 2005} Davidson I. & Ravi S. S., "Clustering with Constraints: Feasibility Issues", SIAM Data Mining, 2005.Google ScholarGoogle Scholar
  6. {Feige and Kilian 1998} Feige U. & Kilian J., "Zero knowledge and the chromatic number", J. Computer and System Sciences, Vol. 57, 1998, pp. 187--199. Google ScholarGoogle ScholarDigital LibraryDigital Library
  7. {Garey and Johnson 1979} Garey M. & Johnson D., Computers and Intractability, 1979.Google ScholarGoogle Scholar
  8. {Kleinberg 2002} Kleinberg J., "An Impossibility Theorem for Clustering", NIPS 2002, pp. 446--453.Google ScholarGoogle Scholar
  9. {Oliver et. al. 1996} Oliver J., Baxter R. & Wallace C., "Unsupervised Learning Using MML", ICML 1996.Google ScholarGoogle Scholar
  10. {Papadimitriou 1994} Papadimitriou C., Computational Complexity, Addison-Wesley, 1994.Google ScholarGoogle Scholar
  11. {Wagstaff and Cardie 2000} Wagstaff K. & Cardie C., "Clustering with Instance-Level Constraints", ICML, 2000. Google ScholarGoogle ScholarDigital LibraryDigital Library
  12. {Wagstaff et. al. 2001} Wagstaff K., Cardie C, Rogers S. & Schroedl S., "Constrained k-means Clustering with Background Knowledge", ICML, 2001. Google ScholarGoogle ScholarDigital LibraryDigital Library
  13. {Wagstaff 2002} Wagstaff K., Intelligent Clustering with Instance-Level Constraints, Ph.D. Dissertation, Cornell University, 2002. Google ScholarGoogle ScholarDigital LibraryDigital Library
  14. {Xing et. al. 2003} Xing E., Ng A., Jordan M. & Russell S., "Distance Metric Learning, with Application to Clustering with Side-Information", NIPS, 2003.Google ScholarGoogle Scholar
  1. Intractability and clustering with constraints

      Recommendations

      Comments

      Login options

      Check if you have access through your login credentials or your institution to get full access on this article.

      Sign in
      • Published in

        cover image ACM Other conferences
        ICML '07: Proceedings of the 24th international conference on Machine learning
        June 2007
        1233 pages
        ISBN:9781595937933
        DOI:10.1145/1273496

        Copyright © 2007 ACM

        Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

        Publisher

        Association for Computing Machinery

        New York, NY, United States

        Publication History

        • Published: 20 June 2007

        Permissions

        Request permissions about this article.

        Request Permissions

        Check for updates

        Qualifiers

        • Article

        Acceptance Rates

        Overall Acceptance Rate140of548submissions,26%

      PDF Format

      View or Download as a PDF file.

      PDF

      eReader

      View online with eReader.

      eReader