53 citations · 277 across the 46 of their papers we have counts for
6 papers · 1 filter
Enhancing Feature-Specific Data Protection via Bayesian Coordinate Differential Privacy
Maryam Aliakbarpour, Syomantak Chaudhuri, Thomas A. Courtade +2
Local Differential Privacy (LDP) offers strong privacy guarantees without requiring users to trust external parties. However, LDP applies uniform protection to all data features, i…
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…
Private Estimation when Data and Privacy Demands are Correlated
Syomantak Chaudhuri, Thomas A. Courtade
Differential Privacy (DP) is the current gold-standard for ensuring privacy for statistical queries. Estimation problems under DP constraints appearing in the literature have large…
Stability of the Poincaré-Korn inequality
Thomas A. Courtade, Max Fathi
We resolve a question of Carrapatoso et al. on Gaussian optimality for the sharp constant in Poincaré-Korn inequalities, under a moment constraint. We also prove stability, showing…
Stability of Klartag's improved Lichnerowicz inequality
Thomas A. Courtade, Max Fathi
In a recent work, Klartag gave an improved version of Lichnerowicz' spectral gap bound for uniformly log-concave measures, which improves on the classical estimate by taking into a…
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…