On the Rényi Divergence, Joint Range of Relative Entropies, and a Channel Coding Theorem

  • Igal Sason
  • Published 2016 in IEEE Transactions on Information Theory

Abstract

This paper starts by considering the minimization of the Rényi divergence subject to a constraint on the total variation distance. Based on the solution of this optimization problem, the exact locus of the points (D(QIIP1), D(QIIP2)) is determined when P1, P2, and Q are arbitrary probability measures which are mutually absolutely continuous, and the total… (More)
DOI: 10.1109/TIT.2015.2504100

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