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arXiv · 2410.06881

Privately Counting Partially Ordered Data

Matthew Joseph·Mónica Ribero·Alexander Yu
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Abstract

We consider differentially private counting when each data point consists of $d$ bits satisfying a partial order. Our main technical contribution is a problem-specific $K$-norm mechanism that runs in time $O(d^2)$. Experiments show that, depending on the partial order in question, our solution dominates existing pure differentially private mechanisms, and can reduce their error by an order of magnitude or more.

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Matthew Joseph, Mónica Ribero, Alexander Yu. 2024-10-09. Privately Counting Partially Ordered Data. https://arxiv.org/abs/2410.06881

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