53 citations · 277 across the 46 of their papers we have counts for
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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…
Links between the Logarithmic Sobolev Inequality and the convolution inequalities for Entropy and Fisher Information
Thomas A. Courtade
Relative to the Gaussian measure on , entropy and Fisher information are famously related via Gross' logarithmic Sobolev inequality (LSI). These same functionals also…
Linear Regression with an Unknown Permutation: Statistical and Computational Limits
Ashwin Pananjady, Martin J. Wainwright, Thomas A. Courtade
Consider a noisy linear observation model with an unknown permutation, based on observing , where is an unknown vector, is an unknow…
Entropy Jumps for Radially Symmetric Random Vectors
Thomas A. Courtade
We establish a quantitative bound on the entropy jump associated to the sum of independent, identically distributed (IID) radially symmetric random vectors having dimension greater…