On differentially private counting on trees

B Ghazi, P Kamath, R Kumar, P Manurangsi… - arXiv preprint arXiv …, 2022 - arxiv.org
arXiv preprint arXiv:2212.11967, 2022arxiv.org
We study the problem of performing counting queries at different levels in hierarchical
structures while preserving individuals' privacy. Motivated by applications, we propose a
new error measure for this problem by considering a combination of multiplicative and
additive approximation to the query results. We examine known mechanisms in differential
privacy (DP) and prove their optimality, under this measure, in the pure-DP setting. In the
approximate-DP setting, we design new algorithms achieving significant improvements over …
We study the problem of performing counting queries at different levels in hierarchical structures while preserving individuals' privacy. Motivated by applications, we propose a new error measure for this problem by considering a combination of multiplicative and additive approximation to the query results. We examine known mechanisms in differential privacy (DP) and prove their optimality, under this measure, in the pure-DP setting. In the approximate-DP setting, we design new algorithms achieving significant improvements over known ones.
arxiv.org
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