2018 IEEE Information Theory Workshop (ITW) 2018
DOI: 10.1109/itw.2018.8613451
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Optimal Utility-Privacy Trade-off with Total Variation Distance as a Privacy Measure

Abstract: The total variation distance is proposed as a privacy measure in an information disclosure scenario when the goal is to reveal some information about available data in return of utility, while retaining the privacy of certain sensitive latent variables from the legitimate receiver. The total variation distance is introduced as a measure of privacy-leakage by showing that: i) it satisfies the post-processing and linkage inequalities, which makes it consistent with an intuitive notion of a privacy measure; ii) t… Show more

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Cited by 33 publications
(45 citation statements)
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References 18 publications
(24 reference statements)
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“…Our goal is to make U and X ′ independent of each other. To this end, we minimize the amount of information leakage from U to X ′ [25].…”
Section: Derivation Of the Identity Lossmentioning
confidence: 99%
See 1 more Smart Citation
“…Our goal is to make U and X ′ independent of each other. To this end, we minimize the amount of information leakage from U to X ′ [25].…”
Section: Derivation Of the Identity Lossmentioning
confidence: 99%
“…Instead, frameworks based on information theory [17] consider as the measure of privacy the mutual information between the released data and the latent information that can be inferred from data. Under this framework we do not necessarily need to design a noise addition mechanism and we can remove or at least reduce private information while keeping useful service-specific information [25].…”
Section: Introductionmentioning
confidence: 99%
“…Another related problem to the one considered here is the privacy funnel, in which the goal is to reveal the data set X within a given accuracy under some utility measure, while keeping the latent variable W as private as possible [18]. Also, various metrics for quantifying the quality of the disclosure strategy has been studied in [6], [8], [19], [20].…”
Section: B Scenario and Related Workmentioning
confidence: 99%
“…Foremost among them is mutual information (MI): its use as a privacy measure in [15]- [24] is inspired by the common appearance of MI as an operationally-meaningful quantity throughout the literature on communication systems. In a similar vein, divergence-based quantities such as total variation distance between the prior and posterior distributions [25] have also been proposed as leakage measures. Information-theoretic measures have been studied in the DP community via Rényi differential privacy which is based on Rényi divergence [26] that allow relaxing the original definition of DP in order to enable better utility guarantees.…”
Section: Introduction and Overviewmentioning
confidence: 99%