Contraction of Rényi Divergences for Discrete Channels: Properties and Applications
This work explores properties of Strong Data-Processing constants for Rényi Divergences. Parallels are made with the well-studied $\varphi$-Divergences, and it is shown that the order $α$ of Rényi Divergences dictates whether certain properties of the contraction of $\varphi$-Divergences are mirrored or not. In particular, we...