A generalization of the Jensen divergence: The chord gap divergence
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A generalization of the Jensen divergence: The chord gap divergence
We introduce a novel family of distances, called the chord gap divergences, that generalizes the Jensen divergences (also called the BurbeaRao distances), and study its properties. It follows a generalization of the celebrated statistical Bhattacharyya distance that is frequently met in applications. We report an iterative concaveconvex procedure for computing centroids, and analyze the performance of the $k$means++ clustering with respect to that new dissimilarity measure by introducing the TaylorLagrange remainder form of the skew Jensen divergences.
A generalization of the Jensen divergence: The chord gap divergence
by Frank Nielsen
https://arxiv.org/pdf/1709.10498v1.pdf
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