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The Poisson binomial mechanism for secure and private federated learning. (arXiv:2207.09916v1 [cs.CR])
July 21, 2022, 1:10 a.m. | Wei-Ning Chen, Ayfer Özgür, Peter Kairouz
cs.LG updates on arXiv.org arxiv.org
We introduce the Poisson Binomial mechanism (PBM), a discrete differential
privacy mechanism for distributed mean estimation (DME) with applications to
federated learning and analytics. We provide a tight analysis of its privacy
guarantees, showing that it achieves the same privacy-accuracy trade-offs as
the continuous Gaussian mechanism. Our analysis is based on a novel bound on
the R\'enyi divergence of two Poisson binomial distributions that may be of
independent interest.
Unlike previous discrete DP schemes based on additive noise, our mechanism …
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