Privately Counting Partially Ordered Data
- URL: http://arxiv.org/abs/2410.06881v1
- Date: Wed, 9 Oct 2024 13:43:35 GMT
- Title: Privately Counting Partially Ordered Data
- Authors: Matthew Joseph, Mónica Ribero, Alexander Yu,
- Abstract summary: 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 $O(d2)$.
- Score: 50.98561191019676
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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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