Permute-and-Flip: A new mechanism for differentially private selection
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Abstract (arXiv)
We consider the problem of differentially private selection. Given a finite set of candidate items and a quality score for each item, our goal is to design a differentially private mechanism that returns an item with a score that is as high as possible. The most commonly used mechanism for this task is the exponential mechanism. In this work, we propose a new mechanism for this task based on a careful analysis of the privacy constraints. The expected score of our mechanism is always at least as large as the exponential mechanism, and can offer improvements up to a factor of two. Our mechanism is simple to implement and runs in linear time.
Key facts. Cited by 22 papers in the map (data through 14 Oct 2026). First posted on arXiv 23 Oct 2020.
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Citing papers per year: 2021: 1; 2022: 2; 2023: 6; 2024: 5; 2025: 4; 2026: 4.
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- 2023How to DP-fy ML: A Practical Guide to Machine Learning with Differential Privacycited by 153
- 2023Privacy-Preserving In-Context Learning with Differentially Private Few-Shot Generationcited by 96
- 2021Leveraging Public Data for Practical Private Query Releasecited by 39
- 2022On Privacy and Personalization in Cross-Silo Federated Learningcited by 36
- 2024Permute-and-Flip: An optimally stable and watermarkable decoder for LLMscited by 22
- 2023Unbounded Differentially Private Quantile and Maximum Estimationcited by 6
- 2024On the Privacy of Selection Mechanisms with Gaussian Noisecited by 3
- 2022Differentially Private Top-k Selection via Canonical Lipschitz Mechanismcited by 2
- 2023Differentially-Private Decision Trees and Provable Robustness to Data Poisoningcited by 1
- 2023Randomized algorithms for precise measurement of differentially-private, personalized recommendationscited by 1
- 2024Unleash the Power of Ellipsis: Accuracy-enhanced Sparse Vector Technique with Exponential Noisecited by 1
- 2024Faster Private Minimum Spanning Treescited by 1
10 more
- 2025Improved Regret in Stochastic Decision-Theoretic Online Learning under Differential Privacycited by 1
- 2023Differentially Private Conditional Independence Testingcited by 0
- 2024Optimal Bounds for Private Minimum Spanning Trees via Input Perturbationcited by 0
- 2025Private Selection with Heterogeneous Sensitivitiescited by 0
- 2025Training Set Reconstruction from Differentially Private Forests: How Effective is DP?cited by 0
- 2025Differentially Private Selection using Smooth Sensitivitycited by 0
- 2026DPrivBench: Benchmarking LLMs' Reasoning for Differential Privacycited by 0
- 2026Lumberjack: Better Differentially Private Random Forests through Heavy Hitter Detection in Treescited by 0
- 2026Plausible Deniability Guarantees for Whistleblowerscited by 0
- 2026ExpBoN: Exponential-Noise Best-of-n for Efficient Test-Time LLM Alignmentcited by 0
- 2026ExpBoN: Exponential-Noise Best-of-n for Efficient Test-Time LLM Alignment18 Sep 2026
- 2026Plausible Deniability Guarantees for Whistleblowers15 Jul 2026
- 2026Lumberjack: Better Differentially Private Random Forests through Heavy Hitter Detection in Trees21 May 2026
- 2026DPrivBench: Benchmarking LLMs' Reasoning for Differential Privacy17 Apr 2026
- 2025Differentially Private Selection using Smooth Sensitivity10 Apr 2025
- 2025Improved Regret in Stochastic Decision-Theoretic Online Learning under Differential Privacy16 Feb 2025
- 2025Training Set Reconstruction from Differentially Private Forests: How Effective is DP?7 Feb 2025
- 2025Private Selection with Heterogeneous Sensitivities9 Jan 2025
- 2024Optimal Bounds for Private Minimum Spanning Trees via Input Perturbation13 Dec 2024
- 2024Faster Private Minimum Spanning Trees13 Aug 2024
- 2024Unleash the Power of Ellipsis: Accuracy-enhanced Sparse Vector Technique with Exponential Noise29 Jul 2024
- 2024On the Privacy of Selection Mechanisms with Gaussian Noise9 Feb 2024
10 more
- 2024Permute-and-Flip: An optimally stable and watermarkable decoder for LLMs8 Feb 2024
- 2023Privacy-Preserving In-Context Learning with Differentially Private Few-Shot Generation21 Sep 2023
- 2023Randomized algorithms for precise measurement of differentially-private, personalized recommendations7 Aug 2023
- 2023Differentially Private Conditional Independence Testing11 Jun 2023
- 2023Differentially-Private Decision Trees and Provable Robustness to Data Poisoning24 May 2023
- 2023Unbounded Differentially Private Quantile and Maximum Estimation2 May 2023
- 2023How to DP-fy ML: A Practical Guide to Machine Learning with Differential Privacy1 Mar 2023
- 2022On Privacy and Personalization in Cross-Silo Federated Learning16 Jun 2022
- 2022Differentially Private Top-k Selection via Canonical Lipschitz Mechanism31 Jan 2022
- 2021Leveraging Public Data for Practical Private Query Release17 Feb 2021
- 2023How to DP-fy ML: A Practical Guide to Machine Learning with Differential Privacycited by 153
- 2023Privacy-Preserving In-Context Learning with Differentially Private Few-Shot Generationcited by 96
- 2021Leveraging Public Data for Practical Private Query Releasecited by 39
- 2022On Privacy and Personalization in Cross-Silo Federated Learningcited by 36
- 2023Unbounded Differentially Private Quantile and Maximum Estimationcited by 6
- 2024On the Privacy of Selection Mechanisms with Gaussian Noisecited by 3
- 2022Differentially Private Top-k Selection via Canonical Lipschitz Mechanismcited by 2
- 2023Randomized algorithms for precise measurement of differentially-private, personalized recommendationscited by 1
- 2024Unleash the Power of Ellipsis: Accuracy-enhanced Sparse Vector Technique with Exponential Noisecited by 1
- 2024Faster Private Minimum Spanning Treescited by 1
- 2025Improved Regret in Stochastic Decision-Theoretic Online Learning under Differential Privacycited by 1
- 2023Differentially Private Conditional Independence Testingcited by 0
12 most cited of 18 All 18 (JSON)
- 2026Plausible Deniability Guarantees for Whistleblowers15 Jul 2026
- 2026Lumberjack: Better Differentially Private Random Forests through Heavy Hitter Detection in Trees21 May 2026
- 2025Differentially Private Selection using Smooth Sensitivity10 Apr 2025
- 2025Improved Regret in Stochastic Decision-Theoretic Online Learning under Differential Privacy16 Feb 2025
- 2025Training Set Reconstruction from Differentially Private Forests: How Effective is DP?7 Feb 2025
- 2025Private Selection with Heterogeneous Sensitivities9 Jan 2025
- 2024Optimal Bounds for Private Minimum Spanning Trees via Input Perturbation13 Dec 2024
- 2024Faster Private Minimum Spanning Trees13 Aug 2024
- 2024Unleash the Power of Ellipsis: Accuracy-enhanced Sparse Vector Technique with Exponential Noise29 Jul 2024
- 2024On the Privacy of Selection Mechanisms with Gaussian Noise9 Feb 2024
- 2023Privacy-Preserving In-Context Learning with Differentially Private Few-Shot Generation21 Sep 2023
- 2023Randomized algorithms for precise measurement of differentially-private, personalized recommendations7 Aug 2023
12 newest of 18 All 18 (JSON)