A family of statistical symmetric divergences based on Jensen's inequality

Details A family of statistical symmetric divergences based on Jensen's inequality A family of statistical symmetric divergences based on Jensen's inequality

2010-09-21

arxiv.org/abs/1009.4004v2

Computer Science

Computer Vision and Pattern Recognition

15 pages, 2 figure

Scientific paper

We introduce a novel parametric family of symmetric information-theoretic distances based on Jensen's inequality for a convex functional generator. In particular, this family unifies the celebrated Jeffreys divergence with the Jensen-Shannon divergence when the Shannon entropy generator is chosen. We then design a generic algorithm to compute the unique centroid defined as the minimum average divergence. This yields a smooth family of centroids linking the Jeffreys to the Jensen-Shannon centroid. Finally, we report on our experimental results.

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