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arXiv · 1803.00008

INSPECTRE: Privately Estimating the Unseen

Jayadev Acharya·Gautam Kamath·Ziteng Sun·Huanyu Zhang
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Abstract

We develop differentially private methods for estimating various distributional properties. Given a sample from a discrete distribution $p$, some functional $f$, and accuracy and privacy parameters $\alpha$ and $\varepsilon$, the goal is to estimate $f(p)$ up to accuracy $\alpha$, while maintaining $\varepsilon$-differential privacy of the sample. We prove almost-tight bounds on the sample size required for this problem for several functionals of interest, including support size, support coverage, and entropy. We show that the cost of privacy is negligible in a variety of settings, both theoretically and experimentally. Our methods are based on a sensitivity analysis of several state-of-the-art methods for estimating these properties with sublinear sample complexities.

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BibTeXRIS

Jayadev Acharya, Gautam Kamath, Ziteng Sun, Huanyu Zhang. 2018-02-28. INSPECTRE: Privately Estimating the Unseen. https://arxiv.org/abs/1803.00008

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