AIM: An Adaptive and Iterative Mechanism for Differentially Private Synthetic Data
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Abstract (arXiv)
We propose AIM, a new algorithm for differentially private synthetic data generation. AIM is a workload-adaptive algorithm within the paradigm of algorithms that first selects a set of queries, then privately measures those queries, and finally generates synthetic data from the noisy measurements. It uses a set of innovative features to iteratively select the most useful measurements, reflecting both their relevance to the workload and their value in approximating the input data. We also provide analytic expressions to bound per-query error with high probability which can be used to construct confidence intervals and inform users about the accuracy of generated data. We show empirically that AIM consistently outperforms a wide variety of existing mechanisms across a variety of experimental settings.
Key facts. Cited by 90 papers in the map (data through 14 Oct 2026). First posted on arXiv 29 Jan 2022.
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Citing papers per year: 2022: 4; 2023: 17; 2024: 21; 2025: 23; 2026: 25.
90 papers.
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- 2023How to DP-fy ML: A Practical Guide to Machine Learning with Differential Privacycited by 153
- 2023Machine Learning for Synthetic Data Generation: A Reviewcited by 120
- 2023Differentially Private Diffusion Models Generate Useful Synthetic Imagescited by 86
- 2022Private Synthetic Data for Multitask Learning and Marginal Queriescited by 35
- 2024Privacy-Preserving Instructions for Aligning Large Language Modelscited by 35
- 2023A Linear Reconstruction Approach for Attribute Inference Attacks against Synthetic Datacited by 24
- 2023Generating Private Synthetic Data with Genetic Algorithmscited by 18
- 2024Systematic Assessment of Tabular Data Synthesiscited by 18
- 2024Differentially Private Tabular Data Synthesis using Large Language Modelscited by 16
- 2025A Survey on Deep Learning Approaches for Tabular Data Generation: Utility, Alignment, Fidelity, Privacy, Diversity, and Beyondcited by 15
- 2024CTSyn: A Foundation Model for Cross Tabular Data Generationcited by 14
- 2023Graphical vs. Deep Generative Models: Measuring the Impact of Differentially Private Mechanisms and Budgets on Utilitycited by 13
38 more
- 2023CuTS: Customizable Tabular Synthetic Data Generationcited by 13
- 2023DP-TBART: A Transformer-based Autoregressive Model for Differentially Private Tabular Data Generationcited by 13
- 2024The Elusive Pursuit of Reproducing PATE-GAN: Benchmarking, Auditing, Debuggingcited by 13
- 2025Position: All Current Generative Fidelity and Diversity Metrics are Flawedcited by 12
- 2025DPImageBench: A Unified Benchmark for Differentially Private Image Synthesiscited by 11
- 2025The DCR Delusion: Measuring the Privacy Risk of Synthetic Datacited by 11
- 2022Noise-Aware Statistical Inference with Differentially Private Synthetic Datacited by 9
- 2023Post-processing Private Synthetic Data for Improving Utility on Selected Measurescited by 9
- 2025Synthetic Tabular Data: Methods, Attacks and Defensescited 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
- 2025From Easy to Hard: Building a Shortcut for Differentially Private Image Synthesiscited by 7
- 2025Differential privacy for medical deep learning: methods, tradeoffs, and deployment implicationscited by 7
- 2025Struct-Bench: A Benchmark for Differentially Private Structured Text Generationcited by 7
- 2023FLAIM: AIM-based Synthetic Data Generation in the Federated Settingcited by 6
- 2024Tabular Data Synthesis with Differential Privacy: A Surveycited by 6
- 2024Differential Privacy Under Class Imbalance: Methods and Empirical Insightscited by 6
- 2023Privately generating tabular data using language modelscited by 5
- 2024DP-2Stage: Adapting Language Models as Differentially Private Tabular Data Generatorscited by 5
- 2025Is API Access to LLMs Useful for Generating Private Synthetic Tabular Data?cited by 5
- 2025The Importance of Being Discrete: Measuring the Impact of Discretization in End-to-End Differentially Private Synthetic Datacited by 5
- 2023A Simple and Practical Method for Reducing the Disparate Impact of Differential Privacycited by 4
- 2024Does Differentially Private Synthetic Data Lead to Synthetic Discoveries?cited by 4
- 2024Private Regression via Data-Dependent Sufficient Statistic Perturbationcited by 4
- 2025RelDiff: Relational Data Generative Modeling with Graph-Based Diffusion Modelscited by 4
- 2025Improving the Generation and Evaluation of Synthetic Data for Downstream Medical Causal Inferencecited by 4
- 2024Bounding the Excess Risk for Linear Models Trained on Marginal-Preserving, Differentially-Private, Synthetic Datacited by 3
- 2024Sharper Bounds for Chebyshev Moment Matching, with Applicationscited by 3
- 2025dpmm: Differentially Private Marginal Models, a Library for Synthetic Tabular Data Generationcited by 3
- 2025ACTG-ARL: Differentially Private Conditional Text Generation with RL-Boosted Controlcited by 3
- 2022Private Synthetic Data with Hierarchical Structurecited by 2
- 2022Answering Private Linear Queries Adaptively using the Common Mechanismcited by 2
- 2023ResidualPlanner+: a scalable matrix mechanism for marginals and beyondcited by 2
- 2024A Bias-Variance Decomposition for Ensembles over Multiple Synthetic Datasetscited by 2
- 2024Differentially Private Synthetic Data Generation for Relational Databasescited by 2
- 2024Privacy without Noisy Gradients: Slicing Mechanism for Generative Model Trainingcited by 2
- 2025P2NIA: Privacy-Preserving Non-Iterative Auditingcited by 2
- 2025Leveraging Vertical Public-Private Split for Improved Synthetic Data Generationcited by 2
50 most cited of 90 All 90 (JSON)
- 2026Tight End-to-End Accounting for Differentially Private Synthetic Data12 Oct 2026
- 2026PEG-Tab: Sampling-Time Record Repair and Release Control for Tabular Synthesis30 Sep 2026
- 2026FinancialAuditBench: Benchmark Construction under Differential Privacy Using Real-World Priors26 Sep 2026
- 2026Differentially Private Paired Table-Image Multimodal Synthesis1 Sep 2026
- 2026ProxyGuard: Direct Reliability Inference for Randomized Data Release Mechanisms with Shared Targets19 Aug 2026
- 2026Workload-Preserving Differentially Private Synthetic Data for Causal Inference via Maximum-Entropy Calibration9 Jul 2026
- 2026TabPATE: Differentially Private Tabular In-Context Learning Without Public Data30 Jun 2026
- 2026Disparate Impact in Synthetic Data Generation11 Jun 2026
- 2026Fixed-Parameter Tractability of Private Synthetic Data Generation9 Jun 2026
- 2026SoK: Reconstruction Attacks on Synthetic Tabular Data (Insights from Winning the NIST CRC)6 Jun 2026
- 2026Differentially Private Synthetic Data via APIs 4: Tabular Data6 Jun 2026
- 2026Quantifying the Privacy of Counterfactuals by Leveraging Membership Inference Attacks Against Synthetic Data4 Jun 2026
38 more
- 2026Private Adaptive Covariance Estimation via Gaussian Graphical Models22 May 2026
- 2026Tight Auditing of Differential Privacy in MST and AIM20 Apr 2026
- 2026Decoupling Identity from Utility: Privacy-by-Design Frameworks for Financial Ecosystems16 Apr 2026
- 2026Accurate and Scalable Matrix Mechanisms via Divide and Conquer1 Apr 2026
- 2026Amalgam: Hybrid LLM-PGM Synthesis Algorithm for Accuracy and Realism28 Mar 2026
- 2026ReTabSyn: Realistic Tabular Data Synthesis via Reinforcement Learning11 Mar 2026
- 2026Noise-Calibrated Inference from Differentially Private Sufficient Statistics in Exponential Families2 Mar 2026
- 2026MAPLE: Metadata Augmented Private Language Evolution26 Feb 2026
- 2026PRISM: Differentially Private Synthetic Data with Structure-Aware Budget Allocation for Prediction10 Feb 2026
- 2026FHAIM: Fully Homomorphic AIM For Private Synthetic Data Generation5 Feb 2026
- 2026Should I use Synthetic Data for That? An Analysis of the Suitability of Synthetic Data for Data Sharing and Augmentation3 Feb 2026
- 2026Privately Fine-Tuned LLMs Preserve Temporal Dynamics in Tabular Data2 Feb 2026
- 2026Rethinking Anonymity Claims in Synthetic Data Generation: A Model-Centric Privacy Attack Perspective30 Jan 2026
- 2025Beyond One-Size-Fits-All: Neural Networks for Differentially Private Tabular Data Synthesis17 Nov 2025
- 2025PrAda-GAN: A Private Adaptive Generative Adversarial Network with Bayes Network Structure11 Nov 2025
- 2025Privacy-Aware Time Series Synthesis via Public Knowledge Distillation1 Nov 2025
- 2025Improving the Generation and Evaluation of Synthetic Data for Downstream Medical Causal Inference21 Oct 2025
- 2025ACTG-ARL: Differentially Private Conditional Text Generation with RL-Boosted Control21 Oct 2025
- 2025TABFAIRGDT: A Fast Fair Tabular Data Generator using Autoregressive Decision Trees24 Sep 2025
- 2025Struct-Bench: A Benchmark for Differentially Private Structured Text Generation12 Sep 2025
- 2025Graph Structure Learning with Privacy Guarantees for Open Graph Data25 Jul 2025
- 2025Beyond Internal Data: Constructing Complete Datasets for Fairness Testing24 Jul 2025
- 2025A Unified Framework for Adversary-Aware Differential Privacy Bounds10 Jul 2025
- 2025Synthetic Tabular Data: Methods, Attacks and Defenses6 Jun 2025
- 2025RelDiff: Relational Data Generative Modeling with Graph-Based Diffusion Models31 May 2025
- 2025Differential privacy for medical deep learning: methods, tradeoffs, and deployment implications31 May 2025
- 2025dpmm: Differentially Private Marginal Models, a Library for Synthetic Tabular Data Generation31 May 2025
- 2025Position: All Current Generative Fidelity and Diversity Metrics are Flawed28 May 2025
- 2025The DCR Delusion: Measuring the Privacy Risk of Synthetic Data2 May 2025
- 2025Leveraging Vertical Public-Private Split for Improved Synthetic Data Generation15 Apr 2025
- 2025The Importance of Being Discrete: Measuring the Impact of Discretization in End-to-End Differentially Private Synthetic Data9 Apr 2025
- 2025From Easy to Hard: Building a Shortcut for Differentially Private Image Synthesis2 Apr 2025
- 2025P2NIA: Privacy-Preserving Non-Iterative Auditing1 Apr 2025
- 2025DPImageBench: A Unified Benchmark for Differentially Private Image Synthesis18 Mar 2025
- 2025A Survey on Deep Learning Approaches for Tabular Data Generation: Utility, Alignment, Fidelity, Privacy, Diversity, and Beyond7 Mar 2025
- 2025Is API Access to LLMs Useful for Generating Private Synthetic Tabular Data?10 Feb 2025
- 2024End to End Collaborative Synthetic Data Generation4 Dec 2024
- 2024DP-2Stage: Adapting Language Models as Differentially Private Tabular Data Generators3 Dec 2024
50 newest of 90 All 90 (JSON)
- 2024Systematic Assessment of Tabular Data Synthesiscited by 18
- 2024Differentially Private Tabular Data Synthesis using Large Language Modelscited by 16
- 2026Differentially Private Synthetic Data via APIs 4: Tabular Datacited by 2
- 2026ReTabSyn: Realistic Tabular Data Synthesis via Reinforcement Learningcited by 1
- 2024SAFES: Sequential Privacy and Fairness Enhancing Data Synthesis for Responsible AIcited by 0
- 2026Differentially Private Synthetic Data via APIs 4: Tabular Data6 Jun 2026
- 2026ReTabSyn: Realistic Tabular Data Synthesis via Reinforcement Learning11 Mar 2026
- 2024SAFES: Sequential Privacy and Fairness Enhancing Data Synthesis for Responsible AI14 Nov 2024
- 2024Differentially Private Tabular Data Synthesis using Large Language Models3 Jun 2024
- 2024Systematic Assessment of Tabular Data Synthesis9 Feb 2024
- 2023Differentially Private Diffusion Models Generate Useful Synthetic Imagescited by 86
- 2024CTSyn: A Foundation Model for Cross Tabular Data Generationcited by 14
- 2025From Easy to Hard: Building a Shortcut for Differentially Private Image Synthesiscited by 7
- 2025RelDiff: Relational Data Generative Modeling with Graph-Based Diffusion Modelscited by 4
- 2025RelDiff: Relational Data Generative Modeling with Graph-Based Diffusion Models31 May 2025
- 2025From Easy to Hard: Building a Shortcut for Differentially Private Image Synthesis2 Apr 2025
- 2024CTSyn: A Foundation Model for Cross Tabular Data Generation7 Jun 2024
- 2023Differentially Private Diffusion Models Generate Useful Synthetic Images27 Feb 2023
- 2025The DCR Delusion: Measuring the Privacy Risk of Synthetic Datacited by 11
- 2025A Unified Framework for Adversary-Aware Differential Privacy Boundscited by 2
- 2026Quantifying the Privacy of Counterfactuals by Leveraging Membership Inference Attacks Against Synthetic Datacited by 0
- 2026TabPATE: Differentially Private Tabular In-Context Learning Without Public Datacited by 0
- 2026TabPATE: Differentially Private Tabular In-Context Learning Without Public Data30 Jun 2026
- 2026Quantifying the Privacy of Counterfactuals by Leveraging Membership Inference Attacks Against Synthetic Data4 Jun 2026
- 2025A Unified Framework for Adversary-Aware Differential Privacy Bounds10 Jul 2025
- 2025The DCR Delusion: Measuring the Privacy Risk of Synthetic Data2 May 2025
- 2023How to DP-fy ML: A Practical Guide to Machine Learning with Differential Privacycited by 153
- 2023Machine Learning for Synthetic Data Generation: A Reviewcited by 120
- 2022Private Synthetic Data for Multitask Learning and Marginal Queriescited by 35
- 2023A Linear Reconstruction Approach for Attribute Inference Attacks against Synthetic Datacited by 24
- 2023Generating Private Synthetic Data with Genetic Algorithmscited by 18
- 2025A Survey on Deep Learning Approaches for Tabular Data Generation: Utility, Alignment, Fidelity, Privacy, Diversity, and Beyondcited by 15
- 2023Graphical vs. Deep Generative Models: Measuring the Impact of Differentially Private Mechanisms and Budgets on Utilitycited by 13
- 2023CuTS: Customizable Tabular Synthetic Data Generationcited by 13
- 2023DP-TBART: A Transformer-based Autoregressive Model for Differentially Private Tabular Data Generationcited by 13
- 2024The Elusive Pursuit of Reproducing PATE-GAN: Benchmarking, Auditing, Debuggingcited by 13
- 2025Position: All Current Generative Fidelity and Diversity Metrics are Flawedcited by 12
- 2025DPImageBench: A Unified Benchmark for Differentially Private Image Synthesiscited by 11
12 most cited of 76 All 76 (JSON)
- 2026Tight End-to-End Accounting for Differentially Private Synthetic Data12 Oct 2026
- 2026PEG-Tab: Sampling-Time Record Repair and Release Control for Tabular Synthesis30 Sep 2026
- 2026FinancialAuditBench: Benchmark Construction under Differential Privacy Using Real-World Priors26 Sep 2026
- 2026Differentially Private Paired Table-Image Multimodal Synthesis1 Sep 2026
- 2026ProxyGuard: Direct Reliability Inference for Randomized Data Release Mechanisms with Shared Targets19 Aug 2026
- 2026Workload-Preserving Differentially Private Synthetic Data for Causal Inference via Maximum-Entropy Calibration9 Jul 2026
- 2026Disparate Impact in Synthetic Data Generation11 Jun 2026
- 2026Fixed-Parameter Tractability of Private Synthetic Data Generation9 Jun 2026
- 2026SoK: Reconstruction Attacks on Synthetic Tabular Data (Insights from Winning the NIST CRC)6 Jun 2026
- 2026Private Adaptive Covariance Estimation via Gaussian Graphical Models22 May 2026
- 2026Tight Auditing of Differential Privacy in MST and AIM20 Apr 2026
- 2026Decoupling Identity from Utility: Privacy-by-Design Frameworks for Financial Ecosystems16 Apr 2026
12 newest of 76 All 76 (JSON)