THE CHORD GAP DIVERGENCE AND A GENERALIZATION OF THE BHATTACHARYYA DISTANCE

被引:0
|
作者
Nielsen, Frank [1 ]
机构
[1] Sony Comp Sci Labs Inc, Ecole Polytech, Tokyo, Japan
关键词
Jensen/Burbea-Rao divergence; Bregman divergence; Jensen-Bregman divergence; centroid; k-means plus;
D O I
暂无
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
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 dissimilarity measure by introducing the Taylor-Lagrange remainder form of skew Jensen divergences.
引用
收藏
页码:2276 / 2280
页数:5
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