Concurrent Composition for Interactive Differential Privacy with Adaptive Privacy-Loss Parameters
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arXiv
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| Main Authors: | , , , , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866916765656678400 |
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| author | Haney, Samuel Shoemate, Michael Tian, Grace Vadhan, Salil Vyrros, Andrew Xu, Vicki Zhang, Wanrong |
| author_facet | Haney, Samuel Shoemate, Michael Tian, Grace Vadhan, Salil Vyrros, Andrew Xu, Vicki Zhang, Wanrong |
| contents | In this paper, we study the concurrent composition of interactive mechanisms with adaptively chosen privacy-loss parameters. In this setting, the adversary can interleave queries to existing interactive mechanisms, as well as create new ones. We prove that every valid privacy filter and odometer for noninteractive mechanisms extends to the concurrent composition of interactive mechanisms if privacy loss is measured using $(ε, δ)$-DP, $f$-DP, or Rényi DP of fixed order. Our results offer strong theoretical foundations for enabling full adaptivity in composing differentially private interactive mechanisms, showing that concurrency does not affect the privacy guarantees. We also provide an implementation for users to deploy in practice. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_05901 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Concurrent Composition for Interactive Differential Privacy with Adaptive Privacy-Loss Parameters Haney, Samuel Shoemate, Michael Tian, Grace Vadhan, Salil Vyrros, Andrew Xu, Vicki Zhang, Wanrong Cryptography and Security Data Structures and Algorithms Information Theory In this paper, we study the concurrent composition of interactive mechanisms with adaptively chosen privacy-loss parameters. In this setting, the adversary can interleave queries to existing interactive mechanisms, as well as create new ones. We prove that every valid privacy filter and odometer for noninteractive mechanisms extends to the concurrent composition of interactive mechanisms if privacy loss is measured using $(ε, δ)$-DP, $f$-DP, or Rényi DP of fixed order. Our results offer strong theoretical foundations for enabling full adaptivity in composing differentially private interactive mechanisms, showing that concurrency does not affect the privacy guarantees. We also provide an implementation for users to deploy in practice. |
| title | Concurrent Composition for Interactive Differential Privacy with Adaptive Privacy-Loss Parameters |
| topic | Cryptography and Security Data Structures and Algorithms Information Theory |
| url | https://arxiv.org/abs/2309.05901 |