11 citations · 36 across the 12 of their papers we have counts for
12 papers
Mean Estimation Under Heterogeneous Privacy Demands
Syomantak Chaudhuri, Konstantin Miagkov, Thomas A. Courtade
Differential Privacy (DP) is a well-established framework to quantify privacy loss incurred by any algorithm. Traditional formulations impose a uniform privacy requirement for all…
Mean Estimation Under Heterogeneous Privacy: Some Privacy Can Be Free
Syomantak Chaudhuri, Thomas A. Courtade
Differential Privacy (DP) is a well-established framework to quantify privacy loss incurred by any algorithm. Traditional DP formulations impose a uniform privacy requirement for a…
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…
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…
Novel probabilistic models of spatial genetic ancestry with applications to stratification correction in genome-wide association studies
Anand Bhaskar, Adel Javanmard, Thomas A. Courtade +1
Genetic variation in human populations is influenced by geographic ancestry due to spatial locality in historical mating and migration patterns. Spatial population structure in gen…
Monotonicity of Entropy and Fisher Information: A Quick Proof via Maximal Correlation
Thomas A. Courtade
A simple proof is given for the monotonicity of entropy and Fisher information associated to sums of i.i.d. random variables. The proof relies on a characterization of maximal corr…