• DocumentCode
    2734912
  • Title

    On clusterings-good, bad and spectral

  • Author

    Kannan, Ravi ; Vempala, Santosh ; Veta, A.

  • Author_Institution
    Dept. of Comput. Sci., Yale Univ., New Haven, CT, USA
  • fYear
    2000
  • fDate
    2000
  • Firstpage
    367
  • Lastpage
    377
  • Abstract
    We propose a new measure for assessing the quality of a clustering. A simple heuristic is shown to give worst-case guarantees under the new measure. Then we present two results regarding the quality of the clustering found by a popular spectral algorithm. One proffers worst case guarantees whilst the other shows that if there exists a “good” clustering then the spectral algorithm will find one close to it
  • Keywords
    computational complexity; heuristic programming; pattern clustering; randomised algorithms; clustering quality assessment measure; heuristic; polynomial time algorithms; randomized algorithm; spectral algorithm; spectral clustering; worst-case guarantees; Algorithm design and analysis; Clustering algorithms; Computer science; Engineering profession; Mathematics; Partitioning algorithms; Performance analysis; Spectral analysis;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Foundations of Computer Science, 2000. Proceedings. 41st Annual Symposium on
  • Conference_Location
    Redondo Beach, CA
  • ISSN
    0272-5428
  • Print_ISBN
    0-7695-0850-2
  • Type

    conf

  • DOI
    10.1109/SFCS.2000.892125
  • Filename
    892125