53 citations · 277 across the 46 of their papers we have counts for
5 papers · 1 filter
Stochastic proof of the sharp symmetrized Talagrand inequality
Thomas A. Courtade, Max Fathi, Dan Mikulincer
We give a new proof of the sharp symmetrized form of Talagrand's transport-entropy inequality. Compared to stochastic proofs of other Gaussian functional inequalities, the new idea…
Rigid characterizations of probability measures through independence, with applications
Thomas A. Courtade
Three equivalent characterizations of probability measures through independence criteria are given. These characterizations lead to a family of Brascamp--Lieb-type inequalities for…
HWI inequalities in discrete spaces via couplings
Thomas A. Courtade, Max Fathi
HWI inequalities are interpolation inequalities relating entropy, Fisher information and optimal transport distances. We adapt an argument of Y. Wu for proving the Gaussian HWI ine…
Bounds on the Poincaré constant for convolution measures
Thomas A. Courtade
We establish a Shearer-type inequality for the Poincaré constant, showing that the Poincaré constant corresponding to the convolution of a collection of measures can be nontriviall…
Existence of Stein Kernels under a Spectral Gap, and Discrepancy Bound
Thomas A. Courtade, Max Fathi, Ashwin Pananjady
We establish existence of Stein kernels for probability measures on satisfying a Poincaré inequality, and obtain bounds on the Stein discrepancy of such measures. Ap…