The Test of Tests: A Framework For Differentially Private Hypothesis Testing
Methodology
2023-02-09 v1 Cryptography and Security
Machine Learning
Abstract
We present a generic framework for creating differentially private versions of any hypothesis test in a black-box way. We analyze the resulting tests analytically and experimentally. Most crucially, we show good practical performance for small data sets, showing that at epsilon = 1 we only need 5-6 times as much data as in the fully public setting. We compare our work to the one existing framework of this type, as well as to several individually-designed private hypothesis tests. Our framework is higher power than other generic solutions and at least competitive with (and often better than) individually-designed tests.
Cite
@article{arxiv.2302.04260,
title = {The Test of Tests: A Framework For Differentially Private Hypothesis Testing},
author = {Zeki Kazan and Kaiyan Shi and Adam Groce and Andrew Bray},
journal= {arXiv preprint arXiv:2302.04260},
year = {2023}
}
Comments
The main text is 14 pages and 4 figures. Appendices are 10 pages and 12 figures