A dependence maximization view of clustering

A dependence maximization view of clustering
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DOI:
10.1145/1273496.1273599
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发表时间:
2007-06
期刊:
The Journal of general virology
影响因子:
--
通讯作者:
Le Song;Alex Smola;A. Gretton;Karsten M. Borgwardt
Le Song;Alex Smola;A. Gretton;Karsten M. Borgwardt
中科院分区:
其他
文献类型:
--
作者:
Le Song;Alex Smola;A. Gretton;Karsten M. Borgwardt

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We propose a family of clustering algorithms based on the maximization of dependence between the input variables and their cluster labels, as expressed by the Hilbert-Schmidt Independence Criterion (HSIC). Under this framework, we unify the geometric, spectral, and statistical dependence views of clustering, and subsume many existing algorithms as special cases (e.g. k-means and spectral clustering). Distinctive to our framework is that kernels can also be applied on the labels, which can endow them with particular structures. We also obtain a perturbation bound on the change in k-means clustering.