PRIVIC: A privacy-preserving method for incremental collection of location data

TL;DR

PRIVIC introduces a novel privacy-preserving mechanism for incremental location data collection that combines the Blahut-Arimoto algorithm with iterative Bayesian updating to enhance privacy and utility.

Contribution

The paper proposes PRIVIC, a new method that integrates BA and IBU for improved privacy protection and statistical utility in location data collection.

Findings

BA enforces geo-ind and mitigates isolation issues.

IBU effectively de-noises data, improving utility.

PRIVIC outperforms Laplace mechanism at high privacy levels.

Abstract

With recent advancements in technology, the threats of privacy violations of individuals' sensitive data are surging. Location data, in particular, have been shown to carry a substantial amount of sensitive information. A standard method to mitigate the privacy risks for location data consists in adding noise to the true values to achieve geo-indistinguishability (geo-ind). However, geo-ind alone is not sufficient to cover all privacy concerns. In particular, isolated locations are not sufficiently protected by the state-of-the-art Laplace mechanism (LAP) for geo-ind. In this paper, we focus on a mechanism based on the Blahut-Arimoto algorithm (BA) from the rate-distortion theory. We show that BA, in addition to providing geo-ind, enforces an elastic metric that mitigates the problem of isolation. Furthermore, BA provides an optimal trade-off between information leakage and quality of service. We then proceed to study the utility of BA in terms of the statistics that can be derived from the reported data, focusing on the inference of the original distribution. To this purpose, we de-noise the reported data by applying the iterative Bayesian update (IBU), an instance of the expectation-maximization method. It turns out that BA and IBU are dual to each other, and as a result, they work well together, in the sense that the statistical utility of BA is quite good and better than LAP for high privacy levels. Exploiting these properties of BA and IBU, we propose an iterative method, PRIVIC, for a privacy-friendly incremental collection of location data from users by service providers. We illustrate the soundness and functionality of our method both analytically and with experiments.