K-means clustering with Hölder divergences

Nielsen, Frank; Sun, Ke; Marchand-Maillet, Stéphane

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K-means clustering with Hölder divergences

Date

2017

Authors

Nielsen, Frank

Sun, Ke

Marchand-Maillet, Stéphane

Abstract

We introduced two novel classes of Hölder divergences and Hölder pseudo-divergences that are both invariant to rescaling, and that both encapsulate the Cauchy-Schwarz divergence and the skew Bhattacharyya divergences. We review the elementary concepts of those parametric divergences, and perform a clustering analysis on two synthetic datasets. It is shown experimentally that the symmetrized Hölder divergences consistently outperform significantly the Cauchy-Schwarz divergence in clustering tasks.