On Computing Pairwise Statistics with Local Differential Privacy

Badih Ghazi · Pritish Kamath · Ravi Kumar · Pasin Manurangsi · Adam Sealfon

Great Hall & Hall B1+B2 (level 1) #1601
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Tue 12 Dec 3:15 p.m. PST — 5:15 p.m. PST

Abstract: We study the problem of computing pairwise statistics, i.e., ones of the form $\binom{n}{2}^{-1} \sum_{i \ne j} f(x_i, x_j)$, where $x_i$ denotes the input to the $i$th user, with differential privacy (DP) in the local model. This formulation captures important metrics such as Kendall's $\tau$ coefficient, Area Under Curve, Gini's mean difference, Gini's entropy, etc. We give several novel and generic algorithms for the problem, leveraging techniques from DP algorithms for linear queries.

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