53 citations · 277 across the 46 of their papers we have counts for
4 papers · 1 filter
Euclidean Forward-Reverse Brascamp-Lieb Inequalities: Finiteness, Structure and Extremals
Thomas A. Courtade, Jingbo Liu
A new proof is given for the fact that centered gaussian functions saturate the Euclidean forward-reverse Brascamp-Lieb inequalities, extending the Brascamp-Lieb and Barthe theorem…
OverSketched Newton: Fast Convex Optimization for Serverless Systems
Vipul Gupta, Swanand Kadhe, Thomas Courtade +2
Motivated by recent developments in serverless systems for large-scale computation as well as improvements in scalable randomized matrix algorithms, we develop OverSketched Newton,…
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…