Projection Theorems for the Rényi Divergence on $\alpha $ -Convex Sets
نویسندگان
چکیده
منابع مشابه
Projection Theorems for the Rényi Divergence on $α$-Convex Sets
This paper studies forward and reverse projections for the Rényi divergence of order α ∈ (0,∞) on α-convex sets. The forward projection on such a set is motivated by some works of Tsallis et al. in statistical physics, and the reverse projection is motivated by robust statistics. In a recent work, van Erven and Harremoës proved a Pythagorean inequality for Rényi divergences on α-convex sets und...
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This paper studies forward and reverse projections for the Rényi divergence of order α ∈ (0,∞) on α-convex sets. The forward projection on such a set is motivated by some works of Tsallis et al. in statistical physics, and the reverse projection is motivated by robust statistics. In a recent work, van Erven and Harremoës proved a Pythagorean inequality for Rényi divergences on α-convex sets und...
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Article history: Received 30 October 2015 Accepted 25 July 2016 Available online 28 July 2016 Submitted by B. Lemmens MSC: 90C53 15A09
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ژورنال
عنوان ژورنال: IEEE Transactions on Information Theory
سال: 2016
ISSN: 0018-9448,1557-9654
DOI: 10.1109/tit.2016.2595586