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On clusterings-good, bad and spectral
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.
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Citations
Cited by
Computing Communities in Large Networks Using Random Walks
Pons, P., & Latapy, M. (2005) · Lecture Notes in Computer Science · doi:10.1007/11569596_31 · Cited by 2,048
Brandes, U., Delling, D., Gaertler, M., Gorke, R., Hoefer, M., Nikoloski, Z., & Wagner, D. (2008) · IEEE Transactions on Knowledge and Data Engineering · doi:10.1109/tkde.2007.190689 · Cited by 1,242
Social big data: recent achievements and new challenges
Bello-Orgaz, G., Jung, J. J., & Camacho, D. (2016) · Information Fusion · doi:10.1016/j.inffus.2015.08.005 · Cited by 846
“Considering both connectivity and density, a possible definition of a graph cluster could be a connected component or a maximal clique [48] .”
BackgroundSpectral partitioning of random graphs
McSherry, F. (2001) · Proceedings 42nd IEEE Symposium on Foundations of Computer Science · doi:10.1109/sfcs.2001.959929 · Cited by 584
Consistency of spectral clustering
von Luxburg, U., Belkin, M., & Bousquet, O. (2008) · The Annals of Statistics · doi:10.1214/009053607000000640 · Cited by 540
Metadata
- Authors
- Kannan, R., Vempala, S., & Veta, A.
- Venue
- Proceedings 41st Annual Symposium on Foundations of Computer Science
- Publisher
- IEEE Comput. Soc
- Published
- 2002-11-07
- Pages
- 367-377
- ISSN
- 0272-5428 (ISSN-L)
- OpenAlex
- W2130891992
- Cited by
- 372
- References
- 0
- FWCI
- 20.66
- Type
- conference paper
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: On clusterings-good, bad and spectral. https://app.cochat.ai/papers/10.1109/sfcs.2000.892125
- The paper
- Kannan, R., Vempala, S., & Veta, A. (2002). On clusterings-good, bad and spectral. Proceedings 41st Annual Symposium on Foundations of Computer Science. https://doi.org/10.1109/sfcs.2000.892125
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
