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arXiv · 2305.17634

Pure-DP Aggregation in the Shuffle Model: Error-Optimal and Communication-Efficient

Badih Ghazi·Ravi Kumar·Pasin Manurangsi
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Abstract

We obtain a new protocol for binary counting in the $\varepsilon$-shuffle-DP model with error $O(1/\varepsilon)$ and expected communication $\tilde{O}\left(\frac{\log n}{\varepsilon}\right)$ messages per user. Previous protocols incur either an error of $O(1/\varepsilon^{1.5})$ with $O_\varepsilon(\log{n})$ messages per user (Ghazi et al., ITC 2020) or an error of $O(1/\varepsilon)$ with $O_\varepsilon(n^{2.5})$ messages per user (Cheu and Yan, TPDP 2022). Using the new protocol, we obtained improved $\varepsilon$-shuffle-DP protocols for real summation and histograms.

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Badih Ghazi, Ravi Kumar, Pasin Manurangsi. 2023-05-28. Pure-DP Aggregation in the Shuffle Model: Error-Optimal and Communication-Efficient. https://arxiv.org/abs/2305.17634

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