English

Counting Distinct Elements Under Person-Level Differential Privacy

Data Structures and Algorithms 2023-10-30 v3 Cryptography and Security

Abstract

We study the problem of counting the number of distinct elements in a dataset subject to the constraint of differential privacy. We consider the challenging setting of person-level DP (a.k.a. user-level DP) where each person may contribute an unbounded number of items and hence the sensitivity is unbounded. Our approach is to compute a bounded-sensitivity version of this query, which reduces to solving a max-flow problem. The sensitivity bound is optimized to balance the noise we must add to privatize the answer against the error of the approximation of the bounded-sensitivity query to the true number of unique elements.

Keywords

Cite

@article{arxiv.2308.12947,
  title  = {Counting Distinct Elements Under Person-Level Differential Privacy},
  author = {Alexander Knop and Thomas Steinke},
  journal= {arXiv preprint arXiv:2308.12947},
  year   = {2023}
}
R2 v1 2026-06-28T12:03:42.034Z