Linear Bounds between Contraction Coefficients for $f$-Divergences

arXiv: Information Theory, 2015.

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Abstract:

Data processing inequalities for $f$-divergences can be sharpened using constants called to produce strong data processing inequalities. For any discrete source-channel pair, the contraction coefficients for $f$-divergences are lower bounded by the contraction coefficient for $chi^2$-divergence. In this paper, we elucidate that this low...More

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