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Optimal Differentially Private Mechanisms for Randomised Response
December 16, 2016 Β· Declared Dead Β· π IEEE Transactions on Information Forensics and Security
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Authors
Naoise Holohan, Douglas J. Leith, Oliver Mason
arXiv ID
1612.05568
Category
cs.CR: Cryptography & Security
Citations
66
Venue
IEEE Transactions on Information Forensics and Security
Last Checked
5 months ago
Abstract
We examine a generalised Randomised Response (RR) technique in the context of differential privacy and examine the optimality of such mechanisms. Strict and relaxed differential privacy are considered for binary outputs. By examining the error of a statistical estimator, we present closed solutions for the optimal mechanism(s) in both cases. The optimal mechanism is also given for the specific case of the original RR technique as introduced by Warner in 1965.
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