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cs.DS2020
Private Mean Estimation of Heavy-Tailed Distributions
Gautam Kamath, Vikrant Singhal, Jonathan Ullman
We give new upper and lower bounds on the minimax sample complexity of differentially private mean estimation of distributions with bounded -th moments. Roughly speaking, in the…
cs.DS2019
Differentially Private Algorithms for Learning Mixtures of Separated Gaussians
Gautam Kamath, Or Sheffet, Vikrant Singhal +1
Learning the parameters of Gaussian mixture models is a fundamental and widely studied problem with numerous applications. In this work, we give new algorithms for learning the par…
cs.DS2018
Privately Learning High-Dimensional Distributions
Gautam Kamath, Jerry Li, Vikrant Singhal +1
We present novel, computationally efficient, and differentially private algorithms for two fundamental high-dimensional learning problems: learning a multivariate Gaussian and lear…