Aggregate location statistics are used in a number of mobility analytics to express how many people are in a certain location at a given time (but not who). However, prior work has shown that an adversary with some prior knowledge of a victim's mobility patterns can mount membership inference attacks to determine whether or not that user contributed to the aggregates. In this paper, we set to understand why such inferences are successful and what can be done to mitigate them. We conduct an in-depth feature analysis, finding that the volume of data contributed and the regularity and particularity of mobility patterns play a crucial role in the attack. We then use these insights to adapt defenses proposed in the location privacy literature to the aggregate setting, and evaluate their privacy-utility trade-offs for common mobility analytics. We show that, while there is no silver bullet that enables arbitrary analysis, there are defenses that provide reasonable utility for particular tasks while reducing the extent of the inference.
Membership inference on aggregate locations. As discussed in , @cite_24 model MIAs against aggregate locations using a distinguishability game, and train a classifier to differentiate aggregates including the data of a target from those that do not. While our analysis is based on their attacks, our research objective is substantially different. 's main goal is to investigate the feasibility of inference attacks; whereas, we aim to gain a deeper understanding about the reasons behind the attacks' success, providing insights about locations and times that ease inference and the characteristics of the users that are affected more than others. Moreover, @cite_24 only studies the utility-privacy trade-off provided by differential privacy @cite_12 @cite_2 , while we use the insights obtained in our analysis to select potential mitigation approaches, which we evaluate, both in terms of privacy and utility, in the context of various spatio-temporal analytics tasks.
@cite_24 @cite_12 @cite_2
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We propose the first differentially private aggregation algorithm for distributed time-series data that offers good practical utility without any trusted server. This addresses two important challenges in participatory data-mining applications where (i) individual users collect temporally correlated time-series data (such as location traces, web history, personal health data), and (ii) an untrusted third-party aggregator wishes to run aggregate queries on the data. To ensure differential privacy for time-series data despite the presence of temporal correlation, we propose the Fourier Perturbation Algorithm (FPAk). Standard differential privacy techniques perform poorly for time-series data. To answer n queries, such techniques can result in a noise of Θ(n) to each query answer, making the answers practically useless if n is large. Our FPAk algorithm perturbs the Discrete Fourier Transform of the query answers. For answering n queries, FPAk improves the expected error from Θ(n) to roughly Θ(k) where k is the number of Fourier coefficients that can (approximately) reconstruct all the n query answers. Our experiments show that k To deal with the absence of a trusted central server, we propose the Distributed Laplace Perturbation Algorithm (DLPA) to add noise in a distributed way in order to guarantee differential privacy. To the best of our knowledge, DLPA is the first distributed differentially private algorithm that can scale with a large number of users: DLPA outperforms the only other distributed solution for differential privacy proposed so far, by reducing the computational load per user from O(U) to O(1) where U is the number of users. Over the past five years a new approach to privacy-preserving data analysis has born fruit [13, 18, 7, 19, 5, 37, 35, 8, 32]. This approach differs from much (but not all!) of the related literature in the statistics, databases, theory, and cryptography communities, in that a formal and ad omnia privacy guarantee is defined, and the data analysis techniques presented are rigorously proved to satisfy the guarantee. The key privacy guarantee that has emerged is differential privacy. Roughly speaking, this ensures that (almost, and quantifiably) no risk is incurred by joining a statistical database. In this survey, we recall the definition of differential privacy and two basic techniques for achieving it. We then show some interesting applications of these techniques, presenting algorithms for three specific tasks and three general results on differentially private learning.