Dual Query: Practical Private Query Release for High Dimensional Data
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Abstract (arXiv)
We present a practical, differentially private algorithm for answering a large number of queries on high dimensional datasets. Like all algorithms for this task, ours necessarily has worst-case complexity exponential in the dimension of the data. However, our algorithm packages the computationally hard step into a concisely defined integer program, which can be solved non-privately using standard solvers. We prove accuracy and privacy theorems for our algorithm, and then demonstrate experimentally that our algorithm performs well in practice. For example, our algorithm can efficiently and accurately answer millions of queries on the Netflix dataset, which has over 17,000 attributes; this is an improvement on the state of the art by multiple orders of magnitude.
Key facts. Cited by 26 papers in the map (data through 14 Oct 2026). First posted on arXiv 6 Feb 2014.
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Citing papers per year: 2021: 5; 2022: 2; 2023: 6; 2024: 9; 2025: 0; 2026: 4.
26 papers.
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- 2023Machine Learning for Synthetic Data Generation: A Reviewcited by 120
- 2021Iterative Methods for Private Synthetic Data: Unifying Framework and New Methodscited by 59
- 2021Differentially Private Query Release Through Adaptive Projectioncited by 52
- 2021Leveraging Public Data for Practical Private Query Releasecited by 39
- 2023SoK: Privacy-Preserving Data Synthesiscited by 38
- 2022Private Synthetic Data for Multitask Learning and Marginal Queriescited by 35
- 2023Generating Private Synthetic Data with Genetic Algorithmscited by 18
- 2023Post-processing Private Synthetic Data for Improving Utility on Selected Measurescited by 9
- 2024Privacy-preserving data release leveraging optimal transport and particle gradient descentcited by 8
- 2024Joint Selection: Adaptively Incorporating Public Information for Private Synthetic Datacited by 8
- 2024Mirror Descent Algorithms with Nearly Dimension-Independent Rates for Differentially-Private Stochastic Saddle-Point Problemscited by 7
- 2021Relaxed Marginal Consistency for Differentially Private Query Answeringcited by 6
14 more
- 2024Oracle-Efficient Differentially Private Learning with Public Datacited by 6
- 2024Tabular Data Synthesis with Differential Privacy: A Surveycited by 6
- 2024Private Regression via Data-Dependent Sufficient Statistic Perturbationcited by 4
- 2021Rejoinder: Gaussian Differential Privacycited by 2
- 2022Private Synthetic Data with Hierarchical Structurecited by 2
- 2023ResidualPlanner+: a scalable matrix mechanism for marginals and beyondcited by 2
- 2024Differentially Private Synthetic Data Generation for Relational Databasescited by 2
- 2024Privacy without Noisy Gradients: Slicing Mechanism for Generative Model Trainingcited by 2
- 2026Privately Learning Decision Lists and a Differentially Private Winnowcited by 1
- 2026Accurate and Scalable Matrix Mechanisms via Divide and Conquercited by 1
- 2023Partition-based differentially private synthetic data generationcited by 0
- 2024Differentially Private Synthetic High-dimensional Tabular Streamcited by 0
- 2026PATE-TabTransGAN: Differentially Private Synthetic Tabular Data Generation via Transformer-Based Student Discriminationcited by 0
- 2026Fixed-Parameter Tractability of Private Synthetic Data Generationcited by 0
- 2026Fixed-Parameter Tractability of Private Synthetic Data Generation9 Jun 2026
- 2026PATE-TabTransGAN: Differentially Private Synthetic Tabular Data Generation via Transformer-Based Student Discrimination26 May 2026
- 2026Accurate and Scalable Matrix Mechanisms via Divide and Conquer1 Apr 2026
- 2026Privately Learning Decision Lists and a Differentially Private Winnow7 Feb 2026
- 2024Tabular Data Synthesis with Differential Privacy: A Survey4 Nov 2024
- 2024Privacy without Noisy Gradients: Slicing Mechanism for Generative Model Training25 Oct 2024
- 2024Differentially Private Synthetic High-dimensional Tabular Stream31 Aug 2024
- 2024Differentially Private Synthetic Data Generation for Relational Databases29 May 2024
- 2024Private Regression via Data-Dependent Sufficient Statistic Perturbation23 May 2024
- 2024Joint Selection: Adaptively Incorporating Public Information for Private Synthetic Data12 Mar 2024
- 2024Mirror Descent Algorithms with Nearly Dimension-Independent Rates for Differentially-Private Stochastic Saddle-Point Problems5 Mar 2024
- 2024Oracle-Efficient Differentially Private Learning with Public Data13 Feb 2024
14 more
- 2024Privacy-preserving data release leveraging optimal transport and particle gradient descent31 Jan 2024
- 2023Partition-based differentially private synthetic data generation10 Oct 2023
- 2023SoK: Privacy-Preserving Data Synthesis5 Jul 2023
- 2023Generating Private Synthetic Data with Genetic Algorithms5 Jun 2023
- 2023Post-processing Private Synthetic Data for Improving Utility on Selected Measures24 May 2023
- 2023ResidualPlanner+: a scalable matrix mechanism for marginals and beyond14 May 2023
- 2023Machine Learning for Synthetic Data Generation: A Review8 Feb 2023
- 2022Private Synthetic Data for Multitask Learning and Marginal Queries15 Sep 2022
- 2022Private Synthetic Data with Hierarchical Structure13 Jun 2022
- 2021Relaxed Marginal Consistency for Differentially Private Query Answering13 Sep 2021
- 2021Iterative Methods for Private Synthetic Data: Unifying Framework and New Methods14 Jun 2021
- 2021Rejoinder: Gaussian Differential Privacy5 Apr 2021
- 2021Differentially Private Query Release Through Adaptive Projection11 Mar 2021
- 2021Leveraging Public Data for Practical Private Query Release17 Feb 2021
- 2023Machine Learning for Synthetic Data Generation: A Reviewcited by 120
- 2021Iterative Methods for Private Synthetic Data: Unifying Framework and New Methodscited by 59
- 2021Differentially Private Query Release Through Adaptive Projectioncited by 52
- 2021Leveraging Public Data for Practical Private Query Releasecited by 39
- 2023SoK: Privacy-Preserving Data Synthesiscited by 38
- 2022Private Synthetic Data for Multitask Learning and Marginal Queriescited by 35
- 2023Generating Private Synthetic Data with Genetic Algorithmscited by 18
- 2023Post-processing Private Synthetic Data for Improving Utility on Selected Measurescited by 9
- 2024Privacy-preserving data release leveraging optimal transport and particle gradient descentcited by 8
- 2024Joint Selection: Adaptively Incorporating Public Information for Private Synthetic Datacited by 8
- 2024Mirror Descent Algorithms with Nearly Dimension-Independent Rates for Differentially-Private Stochastic Saddle-Point Problemscited by 7
- 2021Relaxed Marginal Consistency for Differentially Private Query Answeringcited by 6
12 most cited of 26 All 26 (JSON)
- 2026Fixed-Parameter Tractability of Private Synthetic Data Generation9 Jun 2026
- 2026PATE-TabTransGAN: Differentially Private Synthetic Tabular Data Generation via Transformer-Based Student Discrimination26 May 2026
- 2026Accurate and Scalable Matrix Mechanisms via Divide and Conquer1 Apr 2026
- 2026Privately Learning Decision Lists and a Differentially Private Winnow7 Feb 2026
- 2024Tabular Data Synthesis with Differential Privacy: A Survey4 Nov 2024
- 2024Privacy without Noisy Gradients: Slicing Mechanism for Generative Model Training25 Oct 2024
- 2024Differentially Private Synthetic High-dimensional Tabular Stream31 Aug 2024
- 2024Differentially Private Synthetic Data Generation for Relational Databases29 May 2024
- 2024Private Regression via Data-Dependent Sufficient Statistic Perturbation23 May 2024
- 2024Joint Selection: Adaptively Incorporating Public Information for Private Synthetic Data12 Mar 2024
- 2024Mirror Descent Algorithms with Nearly Dimension-Independent Rates for Differentially-Private Stochastic Saddle-Point Problems5 Mar 2024
- 2024Oracle-Efficient Differentially Private Learning with Public Data13 Feb 2024
12 newest of 26 All 26 (JSON)