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Minimax optimal differentially private synthetic data for smooth queries

As of 23 August 2026, this Paper Citation Record lists 67 of 67 outbound references and 0 inbound Pith citation observations for arXiv:2602.01607.

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measured 67 of 67 reference resolution

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67 of 67 outbound references displayed

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Outbound references

Observation b41466ab-5ebd-4249-8bf8-b9bc9e31512f · outbound

This paper cites Deep learning with differential privacy.

Minimax optimal differentially private synthetic data for smooth queries Deep learning with differential privacy

Reference 1

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Observation fb6bdddd-ffdc-4474-a7c1-4085100db0f5 · outbound

This paper cites Census topdown: Differentially private data, in- cremental schemas, and consistency with public knowledge.US Census Bureau, 2019.

Minimax optimal differentially private synthetic data for smooth queries Census topdown: Differentially private data, in- cremental schemas, and consistency with public knowledge.US Census Bureau, 2019

Reference 2

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Observation acedc5f9-f11e-41b5-be29-ea51ed26c1db · outbound

This paper cites Differentially private assouad, fano, and le cam.

Minimax optimal differentially private synthetic data for smooth queries Differentially private assouad, fano, and le cam

Reference 3

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This paper cites Differ- entially private covariance estimation.Advances in Neural Information Processing Systems, 32, 2019.

Minimax optimal differentially private synthetic data for smooth queries Differ- entially private covariance estimation.Advances in Neural Information Processing Systems, 32, 2019

Reference 4

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Observation 4ae470cb-3af5-4c34-b4f6-305808349b77 · outbound

This paper cites Wasserstein concentration of empirical measures for dependent data via the method of moments.arXiv preprint arXiv:2601.07228, 2026.

Minimax optimal differentially private synthetic data for smooth queries Wasserstein concentration of empirical measures for dependent data via the method of moments.arXiv preprint arXiv:2601.07228, 2026

Reference 5

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Observation a663c366-04a7-4878-be3e-69dc45f64cca · outbound

This paper cites On the Gibbs exponential mechanism and private synthetic data generation.

Minimax optimal differentially private synthetic data for smooth queries On the Gibbs exponential mechanism and private synthetic data generation

Reference 6

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This paper cites Improving the gaussian mechanism for differential pri- vacy: Analytical calibration and optimal denoising.

Minimax optimal differentially private synthetic data for smooth queries Improving the gaussian mechanism for differential pri- vacy: Analytical calibration and optimal denoising

Reference 7

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Observation 0c4b0252-c76a-473b-b7bb-f161c2263138 · outbound

This paper cites Privacy, accuracy, and consistency too: a holistic solution to contingency table release.

Minimax optimal differentially private synthetic data for smooth queries Privacy, accuracy, and consistency too: a holistic solution to contingency table release

Reference 8

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Observation 30e2bd5c-806b-492b-b543-71b329c4fbab · outbound

This paper cites Privacy and synthetic datasets.Stan.

Minimax optimal differentially private synthetic data for smooth queries Privacy and synthetic datasets.Stan

Reference 9

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Observation 1446647c-b194-494b-b74a-09bfecb12e67 · outbound

This paper cites A learning theory approach to noninterac- tive database privacy.Journal of the ACM (JACM), 60(2):1–25, 2013.

Minimax optimal differentially private synthetic data for smooth queries A learning theory approach to noninterac- tive database privacy.Journal of the ACM (JACM), 60(2):1–25, 2013

Reference 10

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Observation 6a93abb4-57d5-426b-81c6-f8754af495af · outbound

This paper cites Private measures, random walks, and synthetic data.Probability theory and related fields, 189(1):569–611, 2024.

Minimax optimal differentially private synthetic data for smooth queries Private measures, random walks, and synthetic data.Probability theory and related fields, 189(1):569–611, 2024

Reference 11

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Observation 785864da-328c-4d3a-9465-f273d26fa0bb · outbound

This paper cites Synthetic data generators–sequential and private.Advances in Neural Information Processing Systems, 33:7114–7124, 2020.

Minimax optimal differentially private synthetic data for smooth queries Synthetic data generators–sequential and private.Advances in Neural Information Processing Systems, 33:7114–7124, 2020

Reference 12

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Observation 1447fd8c-5860-4347-889f-e7aeb6f0d591 · outbound

This paper cites A universal law of robustness via isoperimetry.Advances in Neural Information Processing Systems, 34:28811–28822, 2021.

Minimax optimal differentially private synthetic data for smooth queries A universal law of robustness via isoperimetry.Advances in Neural Information Processing Systems, 34:28811–28822, 2021

Reference 13

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Observation 391eb54b-bac1-423c-87be-4e38b3b1c6b7 · outbound

This paper cites Continual release of differentially private synthetic data from longitudinal data collections.Proceedings of the ACM on Management of Data, 2(2):1–26, 2024.

Minimax optimal differentially private synthetic data for smooth queries Continual release of differentially private synthetic data from longitudinal data collections.Proceedings of the ACM on Management of Data, 2(2):1–26, 2024

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Observation 17ff9afb-1dbf-4771-858e-850d9ca2df36 · outbound

This paper cites Make up your mind: The price of online queries in differential privacy.

Minimax optimal differentially private synthetic data for smooth queries Make up your mind: The price of online queries in differential privacy

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Observation a9e826e7-7714-4f82-ac0b-1eeb54c00373 · outbound

This paper cites Fingerprinting codes and the price of approximate differential privacy.

Minimax optimal differentially private synthetic data for smooth queries Fingerprinting codes and the price of approximate differential privacy

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Observation dc1d4895-54a1-42a0-a0b6-9becfae693fd · outbound

This paper cites The cost of privacy: Optimal rates of convergence for parameter estimation with differential privacy.The Annals of Statistics, 49(5):2825–2850, 2021.

Minimax optimal differentially private synthetic data for smooth queries The cost of privacy: Optimal rates of convergence for parameter estimation with differential privacy.The Annals of Statistics, 49(5):2825–2850, 2021

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Observation fd0710a9-e430-47f0-87e3-b53594f31799 · outbound

This paper cites Differentially private histogram with valid statistics.Statistics & Probability Letters, 219:110354, 2025.

Minimax optimal differentially private synthetic data for smooth queries Differentially private histogram with valid statistics.Statistics & Probability Letters, 219:110354, 2025

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Observation 01b4571c-3a92-4ff7-a891-2a559d51417e · outbound

This paper cites A short course on approximation theory.Bowling Green State University, Bowling Green, OH, 38, 1998.

Minimax optimal differentially private synthetic data for smooth queries A short course on approximation theory.Bowling Green State University, Bowling Green, OH, 38, 1998

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Observation 46563ba8-0750-433a-b5e5-80e4f6f3a005 · outbound

This paper cites Privacy-preserving logistic regression.Ad- vances in neural information processing systems, 21, 2008.

Minimax optimal differentially private synthetic data for smooth queries Privacy-preserving logistic regression.Ad- vances in neural information processing systems, 21, 2008

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Observation 28f2de85-4a29-4a4b-a35e-4449481856c7 · outbound

This paper cites Differentially private empirical risk minimization.Journal of Machine Learning Research, 12(3), 2011.

Minimax optimal differentially private synthetic data for smooth queries Differentially private empirical risk minimization.Journal of Machine Learning Research, 12(3), 2011

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Observation 0f0cba7d-1ed7-4d40-83b2-2193c4d4a31e · outbound

This paper cites Privacy at scale: Local differential privacy in practice.

Minimax optimal differentially private synthetic data for smooth queries Privacy at scale: Local differential privacy in practice

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Observation 89d7ccb3-832a-4606-b50f-e3c3901aadbf · outbound

This paper cites Certified private data release for sparse lipschitz functions.

Minimax optimal differentially private synthetic data for smooth queries Certified private data release for sparse lipschitz functions

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Observation 88dbb27e-7589-4820-8f4a-e2a888467bc6 · outbound

This paper cites Minimax optimal proce- dures for locally private estimation.Journal of the American Statistical Association, 113(521):182–201, 2018.

Minimax optimal differentially private synthetic data for smooth queries Minimax optimal proce- dures for locally private estimation.Journal of the American Statistical Association, 113(521):182–201, 2018

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Observation 8381aca4-e2b1-4544-a304-7dbffc5fdf12 · outbound

This paper cites Differential privacy in practice: Expose your epsilons!Journal of Privacy and Confidentiality, 9(2), 2019.

Minimax optimal differentially private synthetic data for smooth queries Differential privacy in practice: Expose your epsilons!Journal of Privacy and Confidentiality, 9(2), 2019

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This paper cites The algorithmic foundations of differential privacy.Foun- dations and Trends®in Theoretical Computer Science, 9(3–4):211–407, 2014.

Minimax optimal differentially private synthetic data for smooth queries The algorithmic foundations of differential privacy.Foun- dations and Trends®in Theoretical Computer Science, 9(3–4):211–407, 2014

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This paper cites Instance-optimal private density estimation in the wasserstein distance.Advances in Neural Information Processing Systems, 37:90061–90131, 2024.

Minimax optimal differentially private synthetic data for smooth queries Instance-optimal private density estimation in the wasserstein distance.Advances in Neural Information Processing Systems, 37:90061–90131, 2024

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This paper cites JHU press, 2013.

Minimax optimal differentially private synthetic data for smooth queries JHU press, 2013

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Observation 110e5822-99c2-4f8d-b32e-89b5f1f175d8 · outbound

This paper cites Private evolution converges.arXiv preprint arXiv:2506.08312, 2025.

Minimax optimal differentially private synthetic data for smooth queries Private evolution converges.arXiv preprint arXiv:2506.08312, 2025

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This paper cites Mirror descent algorithms with nearly dimension-independent rates for differentially-private stochastic saddle-point problems.arXiv preprint arXiv:2403.02912, 2024.

Minimax optimal differentially private synthetic data for smooth queries Mirror descent algorithms with nearly dimension-independent rates for differentially-private stochastic saddle-point problems.arXiv preprint arXiv:2403.02912, 2024

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This paper cites Differentially private wasserstein barycenters.arXiv preprint arXiv:2510.03021, 2025.

Minimax optimal differentially private synthetic data for smooth queries Differentially private wasserstein barycenters.arXiv preprint arXiv:2510.03021, 2025

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This paper cites A simple and practical algorithm for differentially private data release.Advances in neural information processing systems, 25, 2012.

Minimax optimal differentially private synthetic data for smooth queries A simple and practical algorithm for differentially private data release.Advances in neural information processing systems, 25, 2012

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This paper cites A multiplicative weights mechanism for privacy- preserving data analysis.

Minimax optimal differentially private synthetic data for smooth queries A multiplicative weights mechanism for privacy- preserving data analysis

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Observation f9d4b511-ab59-4930-8ffe-2b84b4e3adce · outbound

This paper cites Differential privacy in the 2020 census will distort covid-19 rates.Socius, 7:2378023121994014, 2021.

Minimax optimal differentially private synthetic data for smooth queries Differential privacy in the 2020 census will distort covid-19 rates.Socius, 7:2378023121994014, 2021

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Observation cc9c69df-cf40-493f-af87-33199bb10689 · outbound

This paper cites Implementing differential privacy: Seven lessons from the 2020 United States Census.Harvard Data Science Review, 2(2), 2020.

Minimax optimal differentially private synthetic data for smooth queries Implementing differential privacy: Seven lessons from the 2020 United States Census.Harvard Data Science Review, 2(2), 2020

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This paper cites Differentially private low- dimensional synthetic data from high-dimensional datasets.Information and Inference: A Journal of the IMA, 14(1):iaae034, 2025.

Minimax optimal differentially private synthetic data for smooth queries Differentially private low- dimensional synthetic data from high-dimensional datasets.Information and Inference: A Journal of the IMA, 14(1):iaae034, 2025

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Observation 118c56a1-c4f6-4dd1-aa4d-ebd5321f5090 · outbound

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Minimax optimal differentially private synthetic data for smooth queries Algorithmically effective differentially private synthetic data

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Observation 0df35be5-1997-4099-b6c2-61bf61df8f89 · outbound

This paper cites Online differentially private synthetic data generation.IEEE Transactions on Privacy, (01):1–12, 2024.

Minimax optimal differentially private synthetic data for smooth queries Online differentially private synthetic data generation.IEEE Transactions on Privacy, (01):1–12, 2024

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Observation f1b0e177-af77-439c-a603-9b954f1126ad · outbound

This paper cites Private synthetic data generation in bounded memory.Proceedings of the ACM on Management of Data, 3(2):1– 25, 2025.

Minimax optimal differentially private synthetic data for smooth queries Private synthetic data generation in bounded memory.Proceedings of the ACM on Management of Data, 3(2):1– 25, 2025

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Observation 3cd3dc78-4769-4f55-a242-f2e44281a967 · outbound

This paper cites On approximation by trigonometric sums and polynomials.Transactions of the American Mathematical society, 13(4):491–515, 1912.

Minimax optimal differentially private synthetic data for smooth queries On approximation by trigonometric sums and polynomials.Transactions of the American Mathematical society, 13(4):491–515, 1912

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Observation 2f238896-952a-4e9e-a430-eced6f45a070 · outbound

This paper cites American Mathematical Soc., 1930.

Minimax optimal differentially private synthetic data for smooth queries American Mathematical Soc., 1930

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Observation 85c0e835-0c9d-4962-b7d8-54f8a70e0cec · outbound

This paper cites New lower bounds for private estimation and a generalized fingerprinting lemma.Advances in neural information pro- cessing systems, 35:24405–24418, 2022.

Minimax optimal differentially private synthetic data for smooth queries New lower bounds for private estimation and a generalized fingerprinting lemma.Advances in neural information pro- cessing systems, 35:24405–24418, 2022

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Observation c90b5698-5d02-4dae-a566-a5114deeada5 · outbound

This paper cites Cambridge Mathematical Library.

Minimax optimal differentially private synthetic data for smooth queries Cambridge Mathematical Library

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source=pdf_text observed=2026-08-03T05:48:10.302931Z digest=sha256:12eb03ded180c2ecabc84078f50e559a0e123012f710b96d76d77a01b1574e08

Observation 2ff0488e-e5e1-4b54-b8f8-f44c7e620bee · outbound

This paper cites Lipschitz clustering in metric spaces.The Journal of Geometric Anal- ysis, 32(7):188, 2022.

Minimax optimal differentially private synthetic data for smooth queries Lipschitz clustering in metric spaces.The Journal of Geometric Anal- ysis, 32(7):188, 2022

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Observation b1699997-69e6-4d71-91e6-c5b9ad987603 · outbound

This paper cites Differentially Private Synthetic Data via Foundation Model APIs 1: Images.

Minimax optimal differentially private synthetic data for smooth queries Differentially Private Synthetic Data via Foundation Model APIs 1: Images

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Observation 6a9d2562-def7-4d8f-8f01-b340dc13910d · outbound

This paper cites Optimizing error of high-dimensional statistical queries under differential privacy.Proceedings of the VLDB Endowment, 11(10), 2018.

Minimax optimal differentially private synthetic data for smooth queries Optimizing error of high-dimensional statistical queries under differential privacy.Proceedings of the VLDB Endowment, 11(10), 2018

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Observation 63c30889-6c1e-4eeb-ae9c-7f9348c1f31e · outbound

This paper cites A dy- namical system perspective for Lipschitz neural networks.

Minimax optimal differentially private synthetic data for smooth queries A dy- namical system perspective for Lipschitz neural networks

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Observation c8f01f77-f382-41ae-8746-ffa84ecf3e9b · outbound

This paper cites Sharper bounds for chebyshev moment matching, with applications.

Minimax optimal differentially private synthetic data for smooth queries Sharper bounds for chebyshev moment matching, with applications

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Observation e54b765c-fcd2-46ae-8e07-3bc134138316 · outbound

This paper cites How to DP-fy Your Data: A Practical Guide to Generating Synthetic Data With Differential Privacy.

Minimax optimal differentially private synthetic data for smooth queries How to DP-fy Your Data: A Practical Guide to Generating Synthetic Data With Differential Privacy

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Observation 1a3a1a4a-b672-4969-b31c-482a2531f043 · outbound

This paper cites Stochastic gradient descent with differentially private updates.

Minimax optimal differentially private synthetic data for smooth queries Stochastic gradient descent with differentially private updates

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Observation e7697bd5-c0aa-4810-af6c-a35151447382 · outbound

This paper cites On integral probability metrics, \phi-divergences and binary classification.

Minimax optimal differentially private synthetic data for smooth queries On integral probability metrics, \phi-divergences and binary classification

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Observation d16fb5d1-70ad-429f-a33b-14cb180cec2c · outbound

This paper cites Between Pure and Approximate Differential Privacy.

Minimax optimal differentially private synthetic data for smooth queries Between Pure and Approximate Differential Privacy

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source=pdf_text observed=2026-08-03T05:48:10.929712Z digest=sha256:6c2c03208fb9d99eb6e397eb774c482a71c98066c8f694829de60daaa627bbf2

Observation 64257357-08c0-4c62-8f79-06dd811980c0 · outbound

This paper cites Differentially private k-means clustering.

Minimax optimal differentially private synthetic data for smooth queries Differentially private k-means clustering

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source=pdf_text observed=2026-08-03T05:48:11.086609Z digest=sha256:ae0520a576e54e2835acefc46733bc5e0832599df30e2eb80c980a2e2eca2ddf

Observation 17690b7f-2c6d-4038-adfc-e9861929ea21 · outbound

This paper cites 1, Basic theory.

Minimax optimal differentially private synthetic data for smooth queries 1, Basic theory

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Observation ae680273-fa96-4808-adfe-ff76d723e32f · outbound

This paper cites Private multiplicative weights beyond linear queries.

Minimax optimal differentially private synthetic data for smooth queries Private multiplicative weights beyond linear queries

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Observation a67e65cd-118b-47de-acfd-5de13cd224b7 · outbound

This paper cites Pcps and the hardness of generating synthetic data.

Minimax optimal differentially private synthetic data for smooth queries Pcps and the hardness of generating synthetic data

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Observation e2906254-51c6-45e3-b45a-bda4e0ef68c2 · outbound

This paper cites Springer, 2009.

Minimax optimal differentially private synthetic data for smooth queries Springer, 2009

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Observation 5b73d430-02c6-434f-b0e8-06d7bb2edc11 · outbound

This paper cites A closed form scale bound for the $(\epsilon, \delta)$-differentially private Gaussian Mechanism valid for all privacy regimes.

Minimax optimal differentially private synthetic data for smooth queries A closed form scale bound for the $(\epsilon, \delta)$-differentially private Gaussian Mechanism valid for all privacy regimes

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Observation 10e36951-a8c0-4639-bf3f-ecd35eab7be3 · outbound

This paper cites Distance-based classification with Lipschitz functions.J.

Minimax optimal differentially private synthetic data for smooth queries Distance-based classification with Lipschitz functions.J

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Observation 287db72f-c7d5-43f9-8020-783576bd922b · outbound

This paper cites Differentially private data releasing for smooth queries.The Journal of Machine Learning Research, 17(1):1779–1820, 2016.

Minimax optimal differentially private synthetic data for smooth queries Differentially private data releasing for smooth queries.The Journal of Machine Learning Research, 17(1):1779–1820, 2016

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Observation 96940994-f7dd-4140-b6cd-e4b6b6975ff3 · outbound

This paper cites A statistical framework for differential privacy.

Minimax optimal differentially private synthetic data for smooth queries A statistical framework for differential privacy

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Observation 83cdebe6-40e2-4a07-8a87-4c880bd17843 · outbound

This paper cites Private Synthetic Graph Generation and Fused Gromov-Wasserstein Distance.

Minimax optimal differentially private synthetic data for smooth queries Private Synthetic Graph Generation and Fused Gromov-Wasserstein Distance

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source=pdf_text observed=2026-08-03T05:48:11.811123Z digest=sha256:0e17b707b705bdbcda8ea0e927ebb6a656e69968443cf164753b7f7154eeac14

Observation 5b6d5bbc-a795-4be3-bd99-d5ad43166179 · outbound

This paper cites Assouad, fano, and le cam.

Minimax optimal differentially private synthetic data for smooth queries Assouad, fano, and le cam

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source=pdf_text observed=2026-08-03T05:48:11.863490Z digest=sha256:115e375d7c245e6ec636d19c0134ac023f68ba93e267087ac44d788d8497c507

Observation f34545b8-19fd-4e34-83b9-0d5ea3fa9769 · outbound

This paper cites an unresolved cited work.

Minimax optimal differentially private synthetic data for smooth queries Unresolved cited work

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Observation b27d72c3-a17e-4459-920d-288db4c4f9e1 · outbound

This paper cites an unresolved cited work.

Minimax optimal differentially private synthetic data for smooth queries Unresolved cited work

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source=pdf_text observed=2026-08-03T05:48:12.042734Z digest=sha256:71051fe10756d13fceb37559b732bbe8fdb4e8685c87fc062d9156cdbda962da

Observation 06644b43-4441-4fcd-a421-0748a5ebac7b · outbound

This paper cites an unresolved cited work.

Minimax optimal differentially private synthetic data for smooth queries Unresolved cited work

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Observation 7250c43f-78f1-4dc8-bd5f-98dabc627b7c · outbound

This paper cites 23 Lemma 12(Jackson’s Theorem for 1-dimensionalk-smooth functions, [40]).Letm, k≥1and a even periodic functiongwith period2πsatisfies∥g (k)∥L∞([0,π]d) ≤1.

Minimax optimal differentially private synthetic data for smooth queries 23 Lemma 12(Jackson’s Theorem for 1-dimensionalk-smooth functions, [40]).Letm, k≥1and a even periodic functiongwith period2πsatisfies∥g (k)∥L∞([0,π]d) ≤1

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