Generalized density clustering

Details Generalized density clustering Generalized density clustering

2009-07-20

arxiv.org/abs/0907.3454v3

Annals of Statistics 2010, Vol. 38, No. 5, 2678-2722

Mathematics

Statistics Theory

Published in at http://dx.doi.org/10.1214/10-AOS797 the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of

Scientific paper

10.1214/10-AOS797

We study generalized density-based clustering in which sharply defined clusters such as clusters on lower-dimensional manifolds are allowed. We show that accurate clustering is possible even in high dimensions. We propose two data-based methods for choosing the bandwidth and we study the stability properties of density clusters. We show that a simple graph-based algorithm successfully approximates the high density clusters.

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