R. Kannan, S. Vempala, and A. Veta. FOCS '00: Proceedings of the 41st Annual Symposium on Foundations of Computer Science, page 367. Washington, DC, USA, IEEE Computer Society, (2000)
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.
%0 Conference Paper
%1 Kannan00spectralClustering
%A Kannan, R.
%A Vempala, S.
%A Veta, A.
%B FOCS '00: Proceedings of the 41st Annual Symposium on Foundations of Computer Science
%C Washington, DC, USA
%D 2000
%I IEEE Computer Society
%K 00 Kannan clustering graph min-cut spectral
%P 367
%T On clusterings-good, bad and spectral
%U http://portal.acm.org/citation.cfm?id=796585
%X 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.
%@ 0-7695-0850-2
@inproceedings{Kannan00spectralClustering,
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.},
added-at = {2008-10-27T21:09:42.000+0100},
address = {Washington, DC, USA},
author = {Kannan, R. and Vempala, S. and Veta, A.},
biburl = {https://www.bibsonomy.org/bibtex/20f31fefe3afd78c65dc60af5c61abf4a/lee_peck},
booktitle = {FOCS '00: Proceedings of the 41st Annual Symposium on Foundations of Computer Science},
description = {On clusterings-good, bad and spectral},
interhash = {83013716cf7b8dfb1fdc352172cff85d},
intrahash = {0f31fefe3afd78c65dc60af5c61abf4a},
isbn = {0-7695-0850-2},
keywords = {00 Kannan clustering graph min-cut spectral},
pages = 367,
publisher = {IEEE Computer Society},
timestamp = {2009-02-02T16:44:16.000+0100},
title = {On clusterings-good, bad and spectral},
url = {http://portal.acm.org/citation.cfm?id=796585},
year = 2000
}