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Subsampled R\'enyi Differential Privacy and Analytical Moments Accountant

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arxiv 1808.00087 v2 pith:TER4FR2V submitted 2018-07-31 cs.LG cs.CRstat.ML

classification cs.LGcs.CRstat.ML
keywords differentialmechanismprivacyalgorithmsenyimomentsparameterssubsample
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We study the problem of subsampling in differential privacy (DP), a question that is the centerpiece behind many successful differentially private machine learning algorithms. Specifically, we provide a tight upper bound on the R\'enyi Differential Privacy (RDP) (Mironov, 2017) parameters for algorithms that: (1) subsample the dataset, and then (2) applies a randomized mechanism M to the subsample, in terms of the RDP parameters of M and the subsampling probability parameter. Our results generalize the moments accounting technique, developed by Abadi et al. (2016) for the Gaussian mechanism, to any subsampled RDP mechanism.

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  1. Duet: An Expressive Higher-order Language and Linear Type System for Statically Enforcing Differential Privacy

    cs.PL 2019-09 conditional novelty 7.0 of 10

    Duet introduces a linear type system that automatically verifies differential privacy for higher-order programs, supporting multiple modern privacy definitions and per-input privacy accounting, demonstrated on machine...

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