13 citations · 15 across the 2 of their papers we have counts for
4 papers
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…
Equality cases in the Anantharam-Jog-Nair inequality
Efe Aras, Thomas A. Courtade, Albert Zhang
Anantharam, Jog and Nair recently unified the Shannon-Stam inequality and the entropic form of the Brascamp-Lieb inequalities under a common inequality. They left open the problems…
Optimal Robust Linear Regression in Nearly Linear Time
Yeshwanth Cherapanamjeri, Efe Aras, Nilesh Tripuraneni +3
We study the problem of high-dimensional robust linear regression where a learner is given access to samples from the generative model (with $X…
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…