Geometry Induced by a Generalization of Rényi Divergence
AbstractIn this paper, we propose a generalization of Rényi divergence, and then we investigate its induced geometry. This generalization is given in terms of a φ-function, the same function that is used in the definition of non-parametric φ-families. The properties of φ-functions proved to be crucial in the generalization of Rényi divergence. Assuming appropriate conditions, we verify that the generalized Rényi divergence reduces, in a limiting case, to the φ-divergence. In generalized statistical manifold, the φ-divergence induces a pair of dual connections
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de Souza, D.C.; Vigelis, R.F.; Cavalcante, C.C. Geometry Induced by a Generalization of Rényi Divergence. Entropy 2016, 18, 407.
de Souza DC, Vigelis RF, Cavalcante CC. Geometry Induced by a Generalization of Rényi Divergence. Entropy. 2016; 18(11):407.Chicago/Turabian Style
de Souza, David C.; Vigelis, Rui F.; Cavalcante, Charles C. 2016. "Geometry Induced by a Generalization of Rényi Divergence." Entropy 18, no. 11: 407.
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