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04/27/2023
Mean Estimation Under Heterogeneous Privacy: Some Privacy Can Be Free
Differential Privacy (DP) is a well-established framework to quantify pr...
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06/28/2022
Entropy Inequalities and Gaussian Comparisons
We establish a general class of entropy inequalities that take the conci...
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06/23/2022
Equality cases in the Anantharam-Jog-Nair inequality
Anantharam, Jog and Nair recently unified the Shannon-Stam inequality an...
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06/09/2020
Linear Models are Most Favorable among Generalized Linear Models
We establish a nonasymptotic lower bound on the L_2 minimax risk for a c...
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07/30/2019
Euclidean Forward-Reverse Brascamp-Lieb Inequalities: Finiteness, Structure and Extremals
A new proof is given for the fact that centered gaussian functions satur...
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02/22/2019
A Family of Bayesian Cramér-Rao Bounds, and Consequences for Log-Concave Priors
Under minimal regularity assumptions, we establish a family of informati...
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01/30/2019
Transportation Proof of an inequality by Anantharam, Jog and Nair
Anantharam, Jog and Nair recently put forth an entropic inequality which...
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06/29/2018
Bounds on the Poincaré constant for convolution measures
We establish a Shearer-type inequality for the Poincaré constant, showin...
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07/19/2017
Worst-case vs Average-case Design for Estimation from Fixed Pairwise Comparisons
Pairwise comparison data arises in many domains, including tournament ra...
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04/24/2017
Denoising Linear Models with Permuted Data
The multivariate linear regression model with shuffled data and additive...
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08/09/2016