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20212026
most citedNew Lower Bounds for Private Estimation and a Generalized Fingerprinting Lemma

6 citations · 12 across the 7 of their papers we have counts for

collaborators

9 papers

cs.LG2026

Efficient and Optimal Learning of Discrete Distributions with Person-Level Privacy

Gautam Kamath, Mahbod Majid, Ankur Moitra +2

We study learning a discrete distribution under person-level differential privacy in the batched setting. Given users, each contributing i.i.d. samples from an unknown dist…

cs.LG2026

Actually, All Learnable Distribution Classes Are Privately Learnable

Mohammad Afzali, Hassan Ashtiani, Alex Bie +4

We show that every class of distributions that is learnable up to arbitrarily small target error in total variation distance with finitely many samples is also learnable under ($\v…

math.ST2026

Robust Statistical Estimators with Bounded Empirical Sensitivity

Valentio Iverson, Gautam Kamath, Argyris Mouzakis +1

We introduce a new measure of robustness for statistical estimators, which we call \emph{empirical sensitivity}. An estimator has bounded empirical sensitivity if, with hi…

cs.DS2025

Optimal Differentially Private Sampling of Unbounded Gaussians

Valentio Iverson, Gautam Kamath, Argyris Mouzakis

We provide the first -sample algorithm for sampling from unbounded Gaussian distributions under the constraint of $\left(\varepsilon, δ\right…

cs.DS2024

Private Mean Estimation with Person-Level Differential Privacy

Sushant Agarwal, Gautam Kamath, Mahbod Majid +3

We study person-level differentially private (DP) mean estimation in the case where each person holds multiple samples. DP here requires the usual notion of distributional stabilit…

cs.DS2024

Not All Learnable Distribution Classes are Privately Learnable

Mark Bun, Gautam Kamath, Argyris Mouzakis +1

We give an example of a class of distributions that is learnable up to constant error in total variation distance with a finite number of samples, but not learnable under $(\vareps…

math.ST2023

A Bias-Accuracy-Privacy Trilemma for Statistical Estimation

Gautam Kamath, Argyris Mouzakis, Matthew Regehr +3

Differential privacy (DP) is a rigorous notion of data privacy, used for private statistics. The canonical algorithm for differentially private mean estimation is to first clip the…

cs.DS2022★ 6 cited

New Lower Bounds for Private Estimation and a Generalized Fingerprinting Lemma

Gautam Kamath, Argyris Mouzakis, Vikrant Singhal

We prove new lower bounds for statistical estimation tasks under the constraint of -differential privacy. First, we provide tight lower bounds for private covaria…

stat.ML2021★ 6 cited

A Private and Computationally-Efficient Estimator for Unbounded Gaussians

Gautam Kamath, Argyris Mouzakis, Vikrant Singhal +2

We give the first polynomial-time, polynomial-sample, differentially private estimator for the mean and covariance of an arbitrary Gaussian distribution in $\mat…