Individual Privacy Accounting for Differentially Private Stochastic Gradient Descent
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Abstract (arXiv)
Differentially private stochastic gradient descent (DP-SGD) is the workhorse algorithm for recent advances in private deep learning. It provides a single privacy guarantee to all datapoints in the dataset. We propose output-specific (varepsilon,δ)-DP to characterize privacy guarantees for individual examples when releasing models trained by DP-SGD. We also design an efficient algorithm to investigate individual privacy across a number of datasets. We find that most examples enjoy stronger privacy guarantees than the worst-case bound. We further discover that the training loss and the privacy parameter of an example are well-correlated. This implies groups that are underserved in terms of model utility simultaneously experience weaker privacy guarantees. For example, on CIFAR-10, the average varepsilon of the class with the lowest test accuracy is 44.2% higher than that of the class with the highest accuracy.
Key facts. Cited by 20 papers in the map (data through 7 Oct 2026). Builds on 48 of its 77 references that are in the map. First posted on arXiv 6 Jun 2022.
Builds on
48 of 77 references.
References · 48
- 2015Deep Residual Learning for Image Recognitioncited by 51,809
- 2016Deep Learning with Differential Privacycited by 2,682
- 2016Membership Inference Attacks against Machine Learning Modelscited by 2,221
- 2017Understanding Black-box Predictions via Influence Functionscited by 1,714
- 2018The Secret Sharer: Evaluating and Testing Unintended Memorization in Neural Networkscited by 847
- 2021Membership Inference Attacks From First Principlescited by 839
- 2017Renyi Differential Privacycited by 643
- 2020What Neural Networks Memorize and Why: Discovering the Long Tail via Influence Estimationcited by 492
- 2019Making AI Forget You: Data Deletion in Machine Learningcited by 447
- 2017Age Progression/Regression by Conditional Adversarial Autoencodercited by 426
- 2021Large Language Models Can Be Strong Differentially Private Learnerscited by 405
- 2021Differentially Private Fine-tuning of Language Modelscited by 392
36 more
- 2021Opacus: User-Friendly Differential Privacy Library in PyTorchcited by 375
- 2020Label-Only Membership Inference Attackscited by 371
- 2018Fairness Without Demographics in Repeated Loss Minimizationcited by 363
- 2016Semi-supervised Knowledge Transfer for Deep Learning from Private Training Datacited by 347
- 2019Differential Privacy Has Disparate Impact on Model Accuracycited by 316
- 2019White-box vs Black-box: Bayes Optimal Strategies for Membership Inferencecited by 265
- 2018Privacy Amplification by Subsampling: Tight Analyses via Couplings and Divergencescited by 237
- 2021Enhanced Membership Inference Attacks against Machine Learning Modelscited by 237
- 2018Subsampled R'enyi Differential Privacy and Analytical Moments Accountantcited by 234
- 2019Differentially Private Learning with Adaptive Clippingcited by 218
- 2022Unlocking High-Accuracy Differentially Private Image Classification through Scalecited by 218
- 2020Auditing Differentially Private Machine Learning: How Private is Private SGD?cited by 213
- 2019R'enyi Differential Privacy of the Sampled Gaussian Mechanismcited by 199
- 2021Adversary Instantiation: Lower Bounds for Differentially Private Machine Learningcited by 193
- 2021Numerical Composition of Differential Privacycited by 174
- 2020Understanding Gradient Clipping in Private SGD: A Geometric Perspectivecited by 140
- 2020Tempered Sigmoid Activations for Deep Learning with Differential Privacycited by 121
- 2021Large-Scale Differentially Private BERTcited by 117
- 2019Deep Learning with Gaussian Differential Privacycited by 112
- 2022Truth Serum: Poisoning Machine Learning Models to Reveal Their Secretscited by 94
- 2020Characterizing Structural Regularities of Labeled Data in Overparameterized Modelscited by 93
- 2021Large Scale Private Learning via Low-rank Reparametrizationcited by 87
- 2020Individual Privacy Accounting via a Renyi Filtercited by 57
- 2022Mixed Differential Privacy in Computer Visioncited by 53
- 2022Scalable and Efficient Training of Large Convolutional Neural Networks with Differential Privacycited by 47
- 2022Large Scale Transfer Learning for Differentially Private Image Classificationcited by 40
- 2020Chasing Your Long Tails: Differentially Private Prediction in Health Care Settingscited by 37
- 2019Disparate Vulnerability to Membership Inference Attackscited by 33
- 2017Towards Measuring Membership Privacycited by 27
- 2022Fully Adaptive Composition in Differential Privacycited by 22
- 2017Accuracy First: Selecting a Differential Privacy Level for Accuracy-Constrained ERMcited by 20
- 2021Practical Privacy Filters and Odometers with R'enyi Differential Privacy and Applications to Differentially Private Deep Learningcited by 12
- 2021Privately Publishable Per-instance Privacycited by 12
- 2019Assessing differentially private deep learning with Membership Inferencecited by 11
- 2022The Impact of Differential Privacy on Group Disparity Mitigationcited by 11
- 2022Exploring the Unfairness of DP-SGD Across Settingscited by 3
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Citing papers per year: 2023: 5; 2024: 6; 2025: 4; 2026: 5.
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- 2024PrE-Text: Training Language Models on Private Federated Data in the Age of LLMscited by 29
- 2023Have it your way: Individualized Privacy Assignment for DP-SGDcited by 21
- 2023Gradients Look Alike: Sensitivity is Often Overestimated in DP-SGDcited by 11
- 2024Noise-Aware Algorithm for Heterogeneous Differentially Private Federated Learningcited by 9
- 2024Impact of Dataset Properties on Membership Inference Vulnerability of Deep Transfer Learningcited by 6
- 2024Certification for Differentially Private Prediction in Gradient-Based Trainingcited by 6
- 2024Free Record-Level Privacy Risk Evaluation Through Artifact-Based Methodscited by 6
- 2025Crowding Out The Noise: Algorithmic Collective Action Under Differential Privacycited by 4
- 2025Leveraging Per-Instance Privacy for Machine Unlearningcited by 4
- 2023Personalized DP-SGD using Sampling Mechanismscited by 2
- 2023SoK: Memorisation in machine learningcited by 1
- 2025Laplace Sample Information: Data Informativeness Through a Bayesian Lenscited by 1
8 more
- 2026Your Privacy Depends on Others: Collusion Vulnerabilities in Individual Differential Privacycited by 1
- 2023Personalized Privacy Amplification via Importance Samplingcited by 0
- 2024A Survey on Differential Privacy for SpatioTemporal Data in Transportation Researchcited by 0
- 2025Controlled privacy leakage propagation throughout overlapping grouped learningcited by 0
- 2026PrivacyBench: Privacy Isn't Free in Hybrid Privacy-Preserving Vision Systemscited by 0
- 2026Technical Case Study of Privacy-Enhancing Technologies (PETs) for Public Healthcited by 0
- 2026PACZero: PAC-Private Fine-Tuning of Language Models via Sign Quantizationcited by 0
- 2026Performative Privacy: When Differential Privacy Maximizes Utilitycited by 0
- 2026Performative Privacy: When Differential Privacy Maximizes Utility28 Aug 2026
- 2026PACZero: PAC-Private Fine-Tuning of Language Models via Sign Quantization7 May 2026
- 2026Technical Case Study of Privacy-Enhancing Technologies (PETs) for Public Health13 Mar 2026
- 2026PrivacyBench: Privacy Isn't Free in Hybrid Privacy-Preserving Vision Systems21 Feb 2026
- 2026Your Privacy Depends on Others: Collusion Vulnerabilities in Individual Differential Privacy19 Jan 2026
- 2025Leveraging Per-Instance Privacy for Machine Unlearning24 May 2025
- 2025Laplace Sample Information: Data Informativeness Through a Bayesian Lens21 May 2025
- 2025Crowding Out The Noise: Algorithmic Collective Action Under Differential Privacy9 May 2025
- 2025Controlled privacy leakage propagation throughout overlapping grouped learning6 Mar 2025
- 2024Free Record-Level Privacy Risk Evaluation Through Artifact-Based Methods8 Nov 2024
- 2024A Survey on Differential Privacy for SpatioTemporal Data in Transportation Research18 Jul 2024
- 2024Certification for Differentially Private Prediction in Gradient-Based Training19 Jun 2024
8 more
- 2024Noise-Aware Algorithm for Heterogeneous Differentially Private Federated Learning5 Jun 2024
- 2024PrE-Text: Training Language Models on Private Federated Data in the Age of LLMs5 Jun 2024
- 2024Impact of Dataset Properties on Membership Inference Vulnerability of Deep Transfer Learning7 Feb 2024
- 2023SoK: Memorisation in machine learning6 Nov 2023
- 2023Personalized Privacy Amplification via Importance Sampling5 Jul 2023
- 2023Gradients Look Alike: Sensitivity is Often Overestimated in DP-SGD1 Jul 2023
- 2023Personalized DP-SGD using Sampling Mechanisms24 May 2023
- 2023Have it your way: Individualized Privacy Assignment for DP-SGD29 Mar 2023
- 2024PrE-Text: Training Language Models on Private Federated Data in the Age of LLMscited by 29
- 2023Have it your way: Individualized Privacy Assignment for DP-SGDcited by 21
- 2023Gradients Look Alike: Sensitivity is Often Overestimated in DP-SGDcited by 11
- 2024Noise-Aware Algorithm for Heterogeneous Differentially Private Federated Learningcited by 9
- 2024Certification for Differentially Private Prediction in Gradient-Based Trainingcited by 6
- 2025Crowding Out The Noise: Algorithmic Collective Action Under Differential Privacycited by 4
- 2023Personalized DP-SGD using Sampling Mechanismscited by 2
- 2023SoK: Memorisation in machine learningcited by 1
- 2025Laplace Sample Information: Data Informativeness Through a Bayesian Lenscited by 1
- 2026Your Privacy Depends on Others: Collusion Vulnerabilities in Individual Differential Privacycited by 1
- 2023Personalized Privacy Amplification via Importance Samplingcited by 0
- 2024A Survey on Differential Privacy for SpatioTemporal Data in Transportation Researchcited by 0
12 most cited of 17 All 17 (JSON)
- 2026Performative Privacy: When Differential Privacy Maximizes Utility28 Aug 2026
- 2026PACZero: PAC-Private Fine-Tuning of Language Models via Sign Quantization7 May 2026
- 2026Technical Case Study of Privacy-Enhancing Technologies (PETs) for Public Health13 Mar 2026
- 2026PrivacyBench: Privacy Isn't Free in Hybrid Privacy-Preserving Vision Systems21 Feb 2026
- 2026Your Privacy Depends on Others: Collusion Vulnerabilities in Individual Differential Privacy19 Jan 2026
- 2025Laplace Sample Information: Data Informativeness Through a Bayesian Lens21 May 2025
- 2025Crowding Out The Noise: Algorithmic Collective Action Under Differential Privacy9 May 2025
- 2025Controlled privacy leakage propagation throughout overlapping grouped learning6 Mar 2025
- 2024A Survey on Differential Privacy for SpatioTemporal Data in Transportation Research18 Jul 2024
- 2024Certification for Differentially Private Prediction in Gradient-Based Training19 Jun 2024
- 2024Noise-Aware Algorithm for Heterogeneous Differentially Private Federated Learning5 Jun 2024
- 2024PrE-Text: Training Language Models on Private Federated Data in the Age of LLMs5 Jun 2024
12 newest of 17 All 17 (JSON)