The Test of Tests: A Framework For Differentially Private Hypothesis Testing

Zeki Kazan, Kaiyan Shi, Adam Groce, Andrew Bray
2/8/2023
stat.MEcs.CRcs.LG

No official code found. Best implementation: diff-priv-ht/test-of-tests (5 stars, last commit 2023-05-30).

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.

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51RJan 31, 20233 years ago

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Cite this paper

@article{kazan2023test,
  title  = {The Test of Tests: A Framework For Differentially Private Hypothesis Testing},
  author = {Zeki Kazan and Kaiyan Shi and Adam Groce and Andrew Bray},
  year   = {2023},
  eprint = {2302.04260},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2302.04260v1},
  journal = {ICML 2023 2023}
}

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