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2013 IEEE 54th Annual Symposium on Foundations of Computer Science (2000)
Redondo Beach, California
Nov. 12, 2000 to Nov. 14, 2000
ISSN: 0272-5428
ISBN: 0-7695-0850-2
pp: 367
S. Vempala , Dept. of Comput. Sci., Yale Univ., New Haven, CT, USA
R. Kannan , Dept. of Comput. Sci., Yale Univ., New Haven, CT, USA
A. Veta , Dept. of Comput. Sci., Yale Univ., New Haven, CT, USA
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.
INDEX TERMS
randomised algorithms; computational complexity; pattern clustering; heuristic programming; clustering quality assessment measure; heuristic; worst-case guarantees; spectral algorithm; spectral clustering; randomized algorithm; polynomial time algorithms
CITATION
S. Vempala, R. Kannan, A. Veta, "On clusterings-good, bad and spectral", 2013 IEEE 54th Annual Symposium on Foundations of Computer Science, vol. 00, no. , pp. 367, 2000, doi:10.1109/SFCS.2000.892125
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