A Primer on Private Statistics
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Abstract (arXiv)
Differentially private statistical estimation has seen a flurry of developments over the last several years. Study has been divided into two schools of thought, focusing on empirical statistics versus population statistics. We suggest that these two lines of work are more similar than different by giving examples of methods that were initially framed for empirical statistics, but can be applied just as well to population statistics. We also provide a thorough coverage of recent work in this area.
Key facts. Cited by 30 papers in the map (data through 7 Oct 2026). First posted on arXiv 30 Apr 2020.
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Citing papers per year: 2021: 6; 2022: 7; 2023: 7; 2024: 6; 2025: 3; 2026: 1.
30 papers.
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- 2021Efficient Mean Estimation with Pure Differential Privacy via a Sum-of-Squares Exponential Mechanismcited by 50
- 2022Composition of Differential Privacy & Privacy Amplification by Subsamplingcited by 42
- 2021Private and polynomial time algorithms for learning Gaussians and beyondcited by 39
- 2022The Fundamental Price of Secure Aggregation in Differentially Private Federated Learningcited by 39
- 2021A Private and Computationally-Efficient Estimator for Unbounded Gaussianscited by 34
- 2022New Lower Bounds for Private Estimation and a Generalized Fingerprinting Lemmacited by 32
- 2022Faster Rates of Convergence to Stationary Points in Differentially Private Optimizationcited by 32
- 2021Differentially Private Quantilescited by 22
- 2023Fast, Sample-Efficient, Affine-Invariant Private Mean and Covariance Estimation for Subgaussian Distributionscited by 22
- 2023Better and Simpler Lower Bounds for Differentially Private Statistical Estimationcited by 16
- 2021Privately Learning Mixtures of Axis-Aligned Gaussianscited by 13
- 2023A Bias-Accuracy-Privacy Trilemma for Statistical Estimationcited by 12
18 more
- 2022Differentially Private Sampling from Distributionscited by 8
- 2022Instance-Optimal Differentially Private Estimationcited by 7
- 2023Mean Estimation Under Heterogeneous Privacy: Some Privacy Can Be Freecited by 6
- 2023Mean Estimation Under Heterogeneous Privacy Demandscited by 6
- 2022Continual Mean Estimation Under User-Level Privacycited by 5
- 2023A Polynomial Time, Pure Differentially Private Estimator for Binary Product Distributionscited by 5
- 2023Private Federated Learning with Autotuned Compressioncited by 5
- 2024Public-data Assisted Private Stochastic Optimization: Power and Limitationscited by 5
- 2024Distribution Learnability and Robustnesscited by 4
- 2024Not All Learnable Distribution Classes are Privately Learnablecited by 3
- 2024Differentially Private Optimization with Sparse Gradientscited by 2
- 2024Differentially Private Prototypes for Imbalanced Transfer Learningcited by 2
- 2021Differentially Private Ensemble Classifiers for Data Streamscited by 1
- 2024Privacy Preserving Adaptive Experiment Designcited by 1
- 2025How Private is Your Attention? Bridging Privacy with In-Context Learningcited by 0
- 2025Beyond ATE: Multi-Criteria Design for A/B Testingcited by 0
- 2025Query-Efficient Locally Private Hypothesis Selection via the Scheffe Graphcited by 0
- 2026Sequential Auditing for f-Differential Privacycited by 0
- 2026Sequential Auditing for f-Differential Privacy6 Feb 2026
- 2025Query-Efficient Locally Private Hypothesis Selection via the Scheffe Graph19 Sep 2025
- 2025Beyond ATE: Multi-Criteria Design for A/B Testing6 Sep 2025
- 2025How Private is Your Attention? Bridging Privacy with In-Context Learning22 Apr 2025
- 2024Distribution Learnability and Robustness25 Jun 2024
- 2024Differentially Private Prototypes for Imbalanced Transfer Learning12 Jun 2024
- 2024Differentially Private Optimization with Sparse Gradients16 Apr 2024
- 2024Public-data Assisted Private Stochastic Optimization: Power and Limitations6 Mar 2024
- 2024Not All Learnable Distribution Classes are Privately Learnable1 Feb 2024
- 2024Privacy Preserving Adaptive Experiment Design16 Jan 2024
- 2023Mean Estimation Under Heterogeneous Privacy Demands19 Oct 2023
- 2023Better and Simpler Lower Bounds for Differentially Private Statistical Estimation10 Oct 2023
18 more
- 2023Private Federated Learning with Autotuned Compression20 Jul 2023
- 2023Mean Estimation Under Heterogeneous Privacy: Some Privacy Can Be Free27 Apr 2023
- 2023A Polynomial Time, Pure Differentially Private Estimator for Binary Product Distributions13 Apr 2023
- 2023A Bias-Accuracy-Privacy Trilemma for Statistical Estimation30 Jan 2023
- 2023Fast, Sample-Efficient, Affine-Invariant Private Mean and Covariance Estimation for Subgaussian Distributions28 Jan 2023
- 2022Continual Mean Estimation Under User-Level Privacy20 Dec 2022
- 2022Differentially Private Sampling from Distributions15 Nov 2022
- 2022Instance-Optimal Differentially Private Estimation28 Oct 2022
- 2022Composition of Differential Privacy & Privacy Amplification by Subsampling2 Oct 2022
- 2022Faster Rates of Convergence to Stationary Points in Differentially Private Optimization2 Jun 2022
- 2022New Lower Bounds for Private Estimation and a Generalized Fingerprinting Lemma17 May 2022
- 2022The Fundamental Price of Secure Aggregation in Differentially Private Federated Learning7 Mar 2022
- 2021Differentially Private Ensemble Classifiers for Data Streams9 Dec 2021
- 2021Efficient Mean Estimation with Pure Differential Privacy via a Sum-of-Squares Exponential Mechanism25 Nov 2021
- 2021Private and polynomial time algorithms for learning Gaussians and beyond22 Nov 2021
- 2021A Private and Computationally-Efficient Estimator for Unbounded Gaussians8 Nov 2021
- 2021Privately Learning Mixtures of Axis-Aligned Gaussians3 Jun 2021
- 2021Differentially Private Quantiles16 Feb 2021
- 2021Efficient Mean Estimation with Pure Differential Privacy via a Sum-of-Squares Exponential Mechanismcited by 50
- 2022Composition of Differential Privacy & Privacy Amplification by Subsamplingcited by 42
- 2021Private and polynomial time algorithms for learning Gaussians and beyondcited by 39
- 2022The Fundamental Price of Secure Aggregation in Differentially Private Federated Learningcited by 39
- 2021A Private and Computationally-Efficient Estimator for Unbounded Gaussianscited by 34
- 2022New Lower Bounds for Private Estimation and a Generalized Fingerprinting Lemmacited by 32
- 2022Faster Rates of Convergence to Stationary Points in Differentially Private Optimizationcited by 32
- 2021Differentially Private Quantilescited by 22
- 2023Fast, Sample-Efficient, Affine-Invariant Private Mean and Covariance Estimation for Subgaussian Distributionscited by 22
- 2023Better and Simpler Lower Bounds for Differentially Private Statistical Estimationcited by 16
- 2021Privately Learning Mixtures of Axis-Aligned Gaussianscited by 13
- 2023A Bias-Accuracy-Privacy Trilemma for Statistical Estimationcited by 12
12 most cited of 30 All 30 (JSON)
- 2026Sequential Auditing for f-Differential Privacy6 Feb 2026
- 2025Query-Efficient Locally Private Hypothesis Selection via the Scheffe Graph19 Sep 2025
- 2025Beyond ATE: Multi-Criteria Design for A/B Testing6 Sep 2025
- 2025How Private is Your Attention? Bridging Privacy with In-Context Learning22 Apr 2025
- 2024Distribution Learnability and Robustness25 Jun 2024
- 2024Differentially Private Prototypes for Imbalanced Transfer Learning12 Jun 2024
- 2024Differentially Private Optimization with Sparse Gradients16 Apr 2024
- 2024Public-data Assisted Private Stochastic Optimization: Power and Limitations6 Mar 2024
- 2024Not All Learnable Distribution Classes are Privately Learnable1 Feb 2024
- 2024Privacy Preserving Adaptive Experiment Design16 Jan 2024
- 2023Mean Estimation Under Heterogeneous Privacy Demands19 Oct 2023
- 2023Better and Simpler Lower Bounds for Differentially Private Statistical Estimation10 Oct 2023
12 newest of 30 All 30 (JSON)