Differentially Private Linear Sketches: Efficient Implementations and Applications

Abstract

Linear sketches have been widely adopted to process fast data streams, and they can be used to accurately answer frequency estimation, approximate top K items, and summarize data distributions. When data are sensitive, it is desirable to provide privacy guarantees for linear sketches to preserve private information while delivering useful results with theoretical bounds. We show that linear sketches can ensure privacy and maintain their unique properties with a small amount of noise added at initialization. From the differentially private linear sketches, we showcase that the state-of-the-art quantile sketch in the turnstile model can also be private and maintain high performance. Experiments further demonstrate that our proposed differentially private sketches are quantitatively and qualitatively similar to noise-free sketches with high utilization on synthetic and real datasets.

Additive Noise Mechanisms for Making Randomized Approximation Algorithms Differentially Private

“…An approach for differentially privately estimating distances in euclidean spaces using private sketches has been given by Stausholm [25]. A general approach to making linear sketches differentially private was given by Zhao, Qiao, Redberg, Agrawal, Abbadi, and Wang [30].…”