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2019 | OriginalPaper | Chapter

Utility-Preserving Privacy Mechanisms for Counting Queries

Authors : Natasha Fernandes, Kacem Lefki, Catuscia Palamidessi

Published in: Models, Languages, and Tools for Concurrent and Distributed Programming

Publisher: Springer International Publishing

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Abstract

Differential privacy (DP) and local differential privacy (LPD) are frameworks to protect sensitive information in data collections. They are both based on obfuscation. In DP the noise is added to the result of queries on the dataset, whereas in LPD the noise is added directly on the individual records, before being collected. The main advantage of LPD with respect to DP is that it does not need to assume a trusted third party. The main disadvantage is that the trade-off between privacy and utility is usually worse than in DP, and typically to retrieve reasonably good statistics from the locally sanitized data it is necessary to have a huge collection of them. In this paper, we focus on the problem of estimating counting queries from collections of noisy answers, and we propose a variant of LDP based on the addition of geometric noise. Our main result is that the geometric noise has a better statistical utility than other LPD mechanisms from the literature.

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Footnotes
1
The notation \(\varTheta \cdot M_y\) indicates the dot product of \(\varTheta \) with the yth column of M.
 
Literature
1.
go back to reference Alvim, M.S., Chatzikokolakis, K., Palamidessi, C., Pazii, A.: Local differential privacy on metric spaces: optimizing the trade-off with utility. In: 31st IEEE Computer Security Foundations Symposium, CSF 2018, Oxford, United Kingdom, 9–12 July 2018, pp. 262–267. IEEE Computer Society (2018) Alvim, M.S., Chatzikokolakis, K., Palamidessi, C., Pazii, A.: Local differential privacy on metric spaces: optimizing the trade-off with utility. In: 31st IEEE Computer Security Foundations Symposium, CSF 2018, Oxford, United Kingdom, 9–12 July 2018, pp. 262–267. IEEE Computer Society (2018)
2.
go back to reference Duchi, J.C., Jordan, M.I., Wainwright, M.J.: Local privacy and statistical Minimax rates. In: Proceedings of the 54th Annual IEEE Symposium on Foundations of Computer Science (FOCS), pp. 429–438. IEEE Computer Society (2013) Duchi, J.C., Jordan, M.I., Wainwright, M.J.: Local privacy and statistical Minimax rates. In: Proceedings of the 54th Annual IEEE Symposium on Foundations of Computer Science (FOCS), pp. 429–438. IEEE Computer Society (2013)
4.
go back to reference Kacem, L., Palamidessi, C.: Geometric noise for locally private counting queries. In: Proceedings of the 13th Workshop on Programming Languages and Analysis for Security, PLAS 2018, pp. 13–16. ACM, New York (2018) Kacem, L., Palamidessi, C.: Geometric noise for locally private counting queries. In: Proceedings of the 13th Workshop on Programming Languages and Analysis for Security, PLAS 2018, pp. 13–16. ACM, New York (2018)
Metadata
Title
Utility-Preserving Privacy Mechanisms for Counting Queries
Authors
Natasha Fernandes
Kacem Lefki
Catuscia Palamidessi
Copyright Year
2019
DOI
https://doi.org/10.1007/978-3-030-21485-2_27

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