Title
Locally Private Gaussian Estimation
Abstract
We study a basic private estimation problem: each of n users draws a single i.i.d. sample from an unknown Gaussian distribution N(mu, sigma(2)), and the goal is to estimate mu 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.
Year
Venue
Keywords
2018
ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS 32 (NIPS 2019)
local differential privacy
Field
DocType
Volume
Mathematical optimization,Data domain,Differential privacy,Upper and lower bounds,Gaussian,Logarithm,Mathematics
Journal
32
ISSN
Citations 
PageRank 
1049-5258
0
0.34
References 
Authors
9
4
Name
Order
Citations
PageRank
Joseph, Matthew1493.77
Janardhan Kulkarni215317.73
Jieming Mao3549.19
Zhiwei Steven Wu415730.92