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

Preprint English OPEN
Liu, Jingbo; Courtade, Thomas A.; Cuff, Paul; Verdu, Sergio;
(2017)
  • 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