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Contraction of Rényi Divergences for Discrete Channels

Vandenbroucque, Adrien et al.
arXiv (All) · Papers
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information-theoryprobability
We investigate Strong Data-Processing Inequality (SDPI) constants for Rényi Divergences on finite spaces. We study their dependence on the Rényi order $α$, proving that they are non-decreasing and that their scaling by $(α-1)$ is convex for $α\geq1$. We also identify several support restrictions on
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