Information-Theoretic Perspectives on Brascamp-Lieb Inequality and Its Reverse

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Liu, Jingbo; Courtade, Thomas A.; Cuff, Paul; Verdu, Sergio;
  • Subject: Computer Science - Information Theory

We introduce an inequality which may be viewed as a generalization of both the Brascamp-Lieb inequality and its reverse (Barthe's inequality), and prove its information-theoretic (i.e.\ entropic) formulation. This result leads to a unified approach to functional inequal... View more