A bounded-noise mechanism for differential privacy
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Abstract (arXiv)
We present an asymptotically optimal (ε,δ) differentially private mechanism for answering multiple, adaptively asked, Delta-sensitive queries, settling the conjecture of Steinke and Ullman [2020]. Our algorithm has a significant advantage that it adds independent bounded noise to each query, thus providing an absolute error bound. Additionally, we apply our algorithm in adaptive data analysis, obtaining an improved guarantee for answering multiple queries regarding some underlying distribution using a finite sample. Numerical computations show that the bounded-noise mechanism outperforms the Gaussian mechanism in many standard settings.
Key facts. Cited by 15 papers in the map (data through 14 Oct 2026). First posted on arXiv 7 Dec 2020.
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Citing papers per year: 2021: 1; 2022: 1; 2023: 4; 2024: 4; 2025: 1; 2026: 4.
15 papers.
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- 2023Subsampling Suffices for Adaptive Data Analysiscited by 9
- 2021A Central Limit Theorem for Differentially Private Query Answeringcited by 7
- 2023Adaptive Data Analysis in a Balanced Adversarial Modelcited by 5
- 2023Sample-Optimal Locally Private Hypothesis Selection and the Provable Benefits of Interactivitycited by 3
- 2024Fingerprinting Codes Meet Geometry: Improved Lower Bounds for Private Query Release and Adaptive Data Analysiscited by 3
- 2024Privacy Amplification for the Gaussian Mechanism via Bounded Supportcited by 2
- 2023AnoFel: Supporting Anonymity for Privacy-Preserving Federated Learningcited by 1
- 2025Privately Estimating Black-Box Statisticscited by 1
- 2022Private Multi-Winner Voting for Machine Learningcited by 0
- 2024Differentially Private Federated Learning without Noise Addition: When is it Possible?cited by 0
- 2024Predicting adaptively chosen observables in quantum systemscited by 0
- 2026Efficient Adaptive Data Analysis over Dense Distributionscited by 0
3 more
- 2026How Reusable Are Benchmarks with Richer Feedback?26 Sep 2026
- 2026Publicly-Verifiable Certificates for Statistical Algorithms17 Jul 2026
- 2026Fixed-Parameter Tractability of Private Synthetic Data Generation9 Jun 2026
- 2026Efficient Adaptive Data Analysis over Dense Distributions7 Feb 2026
- 2025Privately Estimating Black-Box Statistics30 Sep 2025
- 2024Fingerprinting Codes Meet Geometry: Improved Lower Bounds for Private Query Release and Adaptive Data Analysis18 Dec 2024
- 2024Predicting adaptively chosen observables in quantum systems20 Oct 2024
- 2024Differentially Private Federated Learning without Noise Addition: When is it Possible?6 May 2024
- 2024Privacy Amplification for the Gaussian Mechanism via Bounded Support7 Mar 2024
- 2023Sample-Optimal Locally Private Hypothesis Selection and the Provable Benefits of Interactivity9 Dec 2023
- 2023AnoFel: Supporting Anonymity for Privacy-Preserving Federated Learning12 Jun 2023
- 2023Adaptive Data Analysis in a Balanced Adversarial Model24 May 2023
3 more
- 2023Subsampling Suffices for Adaptive Data Analysis17 Feb 2023
- 2022Private Multi-Winner Voting for Machine Learning23 Nov 2022
- 2021A Central Limit Theorem for Differentially Private Query Answering15 Mar 2021
- 2023Subsampling Suffices for Adaptive Data Analysiscited by 9
- 2021A Central Limit Theorem for Differentially Private Query Answeringcited by 7
- 2023Adaptive Data Analysis in a Balanced Adversarial Modelcited by 5
- 2023Sample-Optimal Locally Private Hypothesis Selection and the Provable Benefits of Interactivitycited by 3
- 2024Fingerprinting Codes Meet Geometry: Improved Lower Bounds for Private Query Release and Adaptive Data Analysiscited by 3
- 2024Privacy Amplification for the Gaussian Mechanism via Bounded Supportcited by 2
- 2023AnoFel: Supporting Anonymity for Privacy-Preserving Federated Learningcited by 1
- 2025Privately Estimating Black-Box Statisticscited by 1
- 2022Private Multi-Winner Voting for Machine Learningcited by 0
- 2024Differentially Private Federated Learning without Noise Addition: When is it Possible?cited by 0
- 2024Predicting adaptively chosen observables in quantum systemscited by 0
- 2026Efficient Adaptive Data Analysis over Dense Distributionscited by 0
12 most cited of 15 All 15 (JSON)
- 2026How Reusable Are Benchmarks with Richer Feedback?26 Sep 2026
- 2026Publicly-Verifiable Certificates for Statistical Algorithms17 Jul 2026
- 2026Fixed-Parameter Tractability of Private Synthetic Data Generation9 Jun 2026
- 2026Efficient Adaptive Data Analysis over Dense Distributions7 Feb 2026
- 2025Privately Estimating Black-Box Statistics30 Sep 2025
- 2024Fingerprinting Codes Meet Geometry: Improved Lower Bounds for Private Query Release and Adaptive Data Analysis18 Dec 2024
- 2024Predicting adaptively chosen observables in quantum systems20 Oct 2024
- 2024Differentially Private Federated Learning without Noise Addition: When is it Possible?6 May 2024
- 2024Privacy Amplification for the Gaussian Mechanism via Bounded Support7 Mar 2024
- 2023Sample-Optimal Locally Private Hypothesis Selection and the Provable Benefits of Interactivity9 Dec 2023
- 2023AnoFel: Supporting Anonymity for Privacy-Preserving Federated Learning12 Jun 2023
- 2023Adaptive Data Analysis in a Balanced Adversarial Model24 May 2023
12 newest of 15 All 15 (JSON)