The Chord Gap Divergence and a Generalization of the Bhattacharyya Distance

Frank Nielsen

ICASSP 2018accepted0 citations

The Chord Gap Divergence and a Generalization of the Bhattacharyya Distance

Abstract

We introduce a novel family of distances, called the chord gap divergences, that generalizes the Jensen/Burbea-Rao distances and study its properties. It follows a generalization of the statistical Bhattacharyya distance that is frequently met in applications. We then report an iterative concave-convex procedure for computing centroids, and analyze the performance of the k-means++ clustering with respect to that new dissimi- larity measure by introducing the Taylor-Lagrange remainder form of skew Jensen divergences.

BibTeX

@inproceedings{icassp2018_thechordgapdiver,
  title = {The Chord Gap Divergence and a Generalization of the Bhattacharyya Distance},
  author = {Frank Nielsen},
  booktitle = {ICASSP 2018},
  year = {2018}
}