Fast spectral clustering of data using sequential matrix compression

Bo Chen, Bin Gao, Tie-Van Liu, Yu-Fu Chen, Wei-Ying Ma

Research output: Chapters, Conference Papers, Creative and Literary WorksRGC 32 - Refereed conference paper (with host publication)peer-review

Abstract

Spectral clustering has attracted much research interest in recent years since it can yield impressively good clustering results. Traditional spectral clustering algorithms first solve an eigenvalue decomposition problem to get the low-dimensional embedding of the data points, and then apply some heuristic methods such as k-means to get the desired clusters. However, eigenvalue decomposition is very time-consuming, making the overall complexity of spectral clustering very high, and thus preventing spectral clustering from being widely applied in large-scale problems. To tackle this problem, different from traditional algorithms, we propose a very fast and scalable spectral clustering algorithm called the sequential matrix compression (SMC) method. In this algorithm, we scale down the computational complexity of spectral clustering by sequentially reducing the dimension of the Laplacian matrix in the iteration steps with very little loss of accuracy. Experiments showed the feasibility and efficiency of the proposed algorithm. © Springer-Verlag Berlin Heidelberg 2006.
Original languageEnglish
Title of host publicationMachine Learning: ECML 2006 - 17th European Conference on Machine Learning, Proceedings
PublisherSpringer Verlag
Pages590-597
Volume4212 LNAI
ISBN (Print)354045375, 9783540453758
DOIs
Publication statusPublished - 2006
Externally publishedYes
Event17th European Conference on Machine Learning, ECML 2006 - Berlin, Germany
Duration: 18 Sept 200622 Sept 2006

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume4212 LNAI
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference17th European Conference on Machine Learning, ECML 2006
PlaceGermany
CityBerlin
Period18/09/0622/09/06

Bibliographical note

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