Optimal Differentially Private Mechanisms for Randomised Response

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...

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Veröffentlicht in:IEEE transactions on information forensics and security 2017-11, Vol.12 (11), p.2726-2735
Hauptverfasser: Holohan, Naoise, Leith, Douglas J., Mason, Oliver
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1556-6013
1556-6021
DOI:10.1109/TIFS.2017.2718487