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Bayesian and Frequentist Semantics for Common Variations of Differential Privacy: Applications to the 2020 Census

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arxiv 2209.03310 v1 pith:M322YQO7 submitted 2022-09-07 cs.CR stat.ME

classification cs.CRstat.ME
keywords privacydifferentialsemanticsbayesiancensusfrequentistguaranteesinterpretation
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

The purpose of this paper is to guide interpretation of the semantic privacy guarantees for some of the major variations of differential privacy, which include pure, approximate, R\'enyi, zero-concentrated, and $f$ differential privacy. We interpret privacy-loss accounting parameters, frequentist semantics, and Bayesian semantics (including new results). The driving application is the interpretation of the confidentiality protections for the 2020 Census Public Law 94-171 Redistricting Data Summary File released August 12, 2021, which, for the first time, were produced with formal privacy guarantees.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Interpreting Differential Privacy in Terms of Disclosure Risk

    cs.CR 2025-07 accept novelty 6.0 of 10

    Shows that (epsilon,delta)-differential privacy bounds an adversary's posterior probability, posterior-to-prior ratio, and posterior-to-prior difference with high probability.

  2. Towards Better Attribute Inference Vulnerability Measures

    cs.CR 2025-07 conditional novelty 6.0 of 10

    A precision-recall composite measure with an original-data baseline labels over 25% of attacks on weakly anonymized microdata as at risk that the prior accuracy-only approach called safe.

  3. Setting the Privacy Budget in Differential Privacy by Bounding Adversaries' Odds of Learning Sensitive Information

    stat.ME 2026-07 conditional novelty 4.0 of 10

    Agencies can set the DP privacy budget ε by specifying an odds-risk profile on posterior-to-posterior disclosure odds ratios and taking ε_min = (1/2) log of the tightest allowed multiplicative increase.

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