Cryptology ePrint Archive: Report 2017/882

Towards an in-depth understanding of privacy parameters for randomized sanitization mechanisms

Baptiste Olivier and Tony Quertier

Abstract: Differential privacy, and close other notions such as $d_\chi$-privacy, is at the heart of the privacy framework when considering the use of randomization to ensure data privacy. Such a guarantee is always submitted to some trade-off between the privacy level and the accuracy of the result. While a privacy parameter of the differentially private algorithms leverages this trade-off, it is often a hard task to choose a meaningful value for this numerical parameter. Only a few works have tackled this issue, and the present paper's goal is to continue this effort in two ways. First, we propose a generic framework to decide whether a privacy parameter value is sufficient to prevent from some pre-determined and well-understood risks for privacy. Second, we instantiate our framework on mobility data from real-life datasets, and show some insightful features necessary for practical applications of randomized sanitization mechanisms. In our framework, we model scenarii where an attacker's goal is to de-sanitize some data previously sanitized in the sense of $d_{\chi}$-privacy, a privacy guarantee close to that of differential privacy. To each attack is associated a meaningful risk of data disclosure, and the level of success for the attack suggests a relevant value for the corresponding privacy parameter.

Category / Keywords: Anonymity, Differential Privacy

Date: received 12 Sep 2017

Contact author: tony quertier at gmail com

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Version: 20170917:155837 (All versions of this report)

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