53 citations · 277 across the 46 of their papers we have counts for
30 papers · 1 filter
Entropy Inequalities and Gaussian Comparisons
Efe Aras, Thomas A. Courtade
We establish a general class of entropy inequalities that take the concise form of Gaussian comparisons. The main result unifies many classical and recent results, including the Sh…
Equality cases in the Anantharam-Jog-Nair inequality
Efe Aras, Thomas A. Courtade, Albert Zhang
Anantharam, Jog and Nair recently unified the Shannon-Stam inequality and the entropic form of the Brascamp-Lieb inequalities under a common inequality. They left open the problems…
A Family of Bayesian Cramér-Rao Bounds, and Consequences for Log-Concave Priors
Efe Aras, Kuan-Yun Lee, Ashwin Pananjady +1
Under minimal regularity assumptions, we establish a family of information-theoretic Bayesian Cramér-Rao bounds, indexed by probability measures that satisfy a logarithmic Sobolev…
Transportation Proof of an inequality by Anantharam, Jog and Nair
Thomas A. Courtade
Anantharam, Jog and Nair recently put forth an entropic inequality which simultaneously generalizes the Shannon-Stam entropy power inequality and the Brascamp-Lieb inequality in en…
Information-Theoretic Perspectives on Brascamp-Lieb Inequality and Its Reverse
Jingbo Liu, Thomas A. Courtade, Paul Cuff +1
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 (…
Wasserstein Stability of the Entropy Power Inequality for Log-Concave Densities
Thomas A. Courtade, Max Fathi, Ashwin Pananjady
We establish quantitative stability results for the entropy power inequality (EPI). Specifically, we show that if uniformly log-concave densities nearly saturate the EPI, then they…