资源论文Locally Private Gaussian Estimation

Locally Private Gaussian Estimation

2020-02-21 | |  66 |   43 |   0

Abstract

We study a basic private estimation problem: each of n users draws a single i.i.d. sample from an unknown Gaussian distribution 图片.png and the goal is to estimate µ while guaranteeing local differential privacy for each user. As minimizing the number of rounds of interaction is important in the local setting, we provide adaptive two-round solutions and nonadaptive one-round solutions to this problem. We match these upper bounds with an information-theoretic lower bound showing that our accuracy guarantees are tight up to logarithmic factors for all sequentially interactive locally private protocols.

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