Tags : alpha-divergence

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Feb 27, 2009

A unique characterization of alpha-divergences

Post @ 15:11:45 | alpha-divergence

Professor Shun-ichi Amari recently gave a talk at Ecole Polytechnique on information geometry. The latter point of his talk characterizes interestingly the alpha-divergences on positive measures (non-normalized distributions) as the intersection of f-divergences and Bregman divergences.


http://videolectures.net/etvc08_paris/

Of course, on probability measures, only the Kullback-Leibler divergence lies in the common intersection (and its dual).