Practical and Private (Deep) Learning without Sampling or Shuffling
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Abstract (arXiv)
We consider training models with differential privacy (DP) using mini-batch gradients. The existing state-of-the-art, Differentially Private Stochastic Gradient Descent (DP-SGD), requires privacy amplification by sampling or shuffling to obtain the best privacy/accuracy/computation trade-offs. Unfortunately, the precise requirements on exact sampling and shuffling can be hard to obtain in important practical scenarios, particularly federated learning (FL). We design and analyze a DP variant of Follow-The-Regularized-Leader (DP-FTRL) that compares favorably (both theoretically and empirically) to amplified DP-SGD, while allowing for much more flexible data access patterns. DP-FTRL does not use any form of privacy amplification. The code is available at https://github.com/google-research/federated/tree/master/dp_ftrl and https://github.com/google-research/DP-FTRL .
Key facts. Cited by 170 papers in the map (data through 14 Oct 2026). Builds on 29 of its 77 references that are in the map. First posted on arXiv 26 Feb 2021.
Builds on
29 of 77 references.
References · 29
- 2016Communication-Efficient Learning of Deep Networks from Decentralized Datacited by 7,669
- 2019Advances and Open Problems in Federated Learningcited by 3,046
- 2016Deep Learning with Differential Privacycited by 2,728
- 2020Adaptive Federated Optimizationcited by 1,046
- 2019Towards Federated Learning at Scale: System Designcited by 832
- 2019Introduction to Online Convex Optimizationcited by 803
- 2017Renyi Differential Privacycited by 650
- 2018Subsampled R'enyi Differential Privacy and Analytical Moments Accountantcited by 236
- 2020Differentially Private Learning Needs Better Features (or Much More Data)cited by 235
- 2019Differentially Private Learning with Adaptive Clippingcited by 220
- 2020Auditing Differentially Private Machine Learning: How Private is Private SGD?cited by 218
- 2021Adversary Instantiation: Lower Bounds for Differentially Private Machine Learningcited by 199
17 more
- 2019Private Stochastic Convex Optimization with Optimal Ratescited by 186
- 2020Stability of Stochastic Gradient Descent on Nonsmooth Convex Lossescited by 173
- 2018Amplification by Shuffling: From Local to Central Differential Privacy via Anonymitycited by 164
- 2020Private Stochastic Convex Optimization: Optimal Rates in Linear Timecited by 153
- 2020The Discrete Gaussian for Differential Privacycited by 135
- 2020Tempered Sigmoid Activations for Deep Learning with Differential Privacycited by 122
- 2018Privacy Amplification by Iterationcited by 100
- 2020Hiding Among the Clones: A Simple and Nearly Optimal Analysis of Privacy Amplification by Shufflingcited by 96
- 2018A General Approach to Adding Differential Privacy to Iterative Training Procedurescited by 84
- 2019AdaCliP: Adaptive Clipping for Private SGDcited by 77
- 2020Training Production Language Models without Memorizing User Datacited by 68
- 2017The Price of Differential Privacy For Online Learningcited by 45
- 2020Encode, Shuffle, Analyze Privacy Revisited: Formalizations and Empirical Evaluationcited by 39
- 2020Privacy Amplification via Random Check-Inscited by 39
- 2020Understanding Unintended Memorization in Federated Learningcited by 36
- 2020A Better Bound Gives a Hundred Rounds: Enhanced Privacy Guarantees via f-Divergencescited by 21
- 2017Online Learning via the Differential Privacy Lenscited by 9
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Citing papers per year: 2021: 14; 2022: 26; 2023: 33; 2024: 49; 2025: 31; 2026: 17.
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- 2021A Field Guide to Federated Optimizationcited by 315
- 2021Federated Learning with Buffered Asynchronous Aggregationcited by 190
- 2023How to DP-fy ML: A Practical Guide to Machine Learning with Differential Privacycited by 153
- 2021FedScale: Benchmarking Model and System Performance of Federated Learning at Scalecited by 136
- 2022Toward Training at ImageNet Scale with Differential Privacycited by 87
- 2021The Skellam Mechanism for Differentially Private Federated Learningcited by 68
- 2023Federated Learning of Gboard Language Models with Differential Privacycited by 66
- 2022Improved Differential Privacy for SGD via Optimal Private Linear Operators on Adaptive Streamscited by 59
- 2021Public Data-Assisted Mirror Descent for Private Model Trainingcited by 49
- 2023(Amplified) Banded Matrix Factorization: A unified approach to private trainingcited by 49
- 2024Langevin Unlearning: A New Perspective of Noisy Gradient Descent for Machine Unlearningcited by 49
- 2022Differentially Private Learning Needs Hidden State (Or Much Faster Convergence)cited by 48
38 more
- 2022Multi-Epoch Matrix Factorization Mechanisms for Private Machine Learningcited by 48
- 2021Node-Level Differentially Private Graph Neural Networkscited by 43
- 2022Private Adaptive Optimization with Side Informationcited by 38
- 2021On the Convergence and Calibration of Deep Learning with Differential Privacycited by 36
- 2022On Privacy and Personalization in Cross-Silo Federated Learningcited by 36
- 2023One-shot Empirical Privacy Estimation for Federated Learningcited by 36
- 2023User Inference Attacks on Large Language Modelscited by 36
- 2024Privacy-Preserving Instructions for Aligning Large Language Modelscited by 35
- 2021DP-SGD vs PATE: Which Has Less Disparate Impact on Model Accuracy?cited by 33
- 2024Teach LLMs to Phish: Stealing Private Information from Language Modelscited by 32
- 2021Quantum machine learning with differential privacycited by 31
- 2023On the Convergence of Federated Averaging with Cyclic Client Participationcited by 31
- 2023Can Public Large Language Models Help Private Cross-device Federated Learning?cited by 30
- 2024PrE-Text: Training Language Models on Private Federated Data in the Age of LLMscited by 29
- 2024Fine-Tuning Large Language Models with User-Level Differential Privacycited by 29
- 2022Almost Tight Error Bounds on Differentially Private Continual Countingcited by 26
- 2022CANIFE: Crafting Canaries for Empirical Privacy Measurement in Federated Learningcited by 24
- 2023Grounding Foundation Models through Federated Transfer Learning: A General Frameworkcited by 24
- 2024Mind the Privacy Unit! User-Level Differential Privacy for Language Model Fine-Tuningcited by 24
- 2022Constant matters: Fine-grained Complexity of Differentially Private Continual Observationcited by 23
- 2022Learning to Generate Image Embeddings with User-level Differential Privacycited by 23
- 2023Correlated Noise Provably Beats Independent Noise for Differentially Private Learningcited by 23
- 2024How Private are DP-SGD Implementations?cited by 22
- 2023Have it your way: Individualized Privacy Assignment for DP-SGDcited by 21
- 2023Differentially Private Natural Language Models: Recent Advances and Future Directionscited by 20
- 2023Practical Differentially Private Hyperparameter Tuning with Subsamplingcited by 19
- 2022Differentially Private Adaptive Optimization with Delayed Preconditionerscited by 18
- 2023Gradient Descent with Linearly Correlated Noise: Theory and Applications to Differential Privacycited by 18
- 2024The Privacy Power of Correlated Noise in Decentralized Learningcited by 18
- 2021Shuffle Private Stochastic Convex Optimizationcited by 17
- 2022Private Online Prediction from Experts: Separations and Faster Ratescited by 17
- 2023Privacy Amplification for Matrix Mechanismscited by 17
- 2024Prompt Public Large Language Models to Synthesize Data for Private On-device Applicationscited by 17
- 2024Efficient and Near-Optimal Noise Generation for Streaming Differential Privacycited by 17
- 2022Near-Optimal Differentially Private Reinforcement Learningcited by 16
- 2023Reconstructing Individual Data Points in Federated Learning Hardened with Differential Privacy and Secure Aggregationcited by 16
- 2024Scalable DP-SGD: Shuffling vs. Poisson Subsamplingcited by 16
- 2025VaultGemma: A Differentially Private Gemma Modelcited by 16
50 most cited of 170 All 170 (JSON)
- 2026RegionFed: Federated Learning for Personalized Query Understanding in Heterogeneous Retail Environments4 Sep 2026
- 2026Private Computation Space: Experience with Trusted Multi-Cluster Federated Learning for Agriculture1 Sep 2026
- 2026Continual Learning With Participation Privacy: An Auditable Buffering-Aggregation Recipe8 Jul 2026
- 2026The Binary Tree Mechanism is Optimal for Differentially Private Continual Counting1 Jul 2026
- 2026Let's Ask Gauss: Improved One-Run Privacy Auditing10 Jun 2026
- 2026Revisiting Privacy Amplification by Subsampling in Selective Release DPSGD3 Jun 2026
- 2026When Do Fewer Coordinates Suffice in DP-SGD?3 Jun 2026
- 2026Local Differential Privacy with Correlated Noise Achieves Central-DP Optimal Cost28 May 2026
- 2026Beyond Square Roots: A Memory-Efficient Explicit Factorization for Multi-Epoch Private Learning18 May 2026
- 2026Deep Learning under Fractional-Order Differential Privacy11 May 2026
- 2026FIBER: A Differentially Private Optimizer with Filter-Aware Innovation Bias Correction5 May 2026
- 2026Shuffling-Aware Optimization for Private Vector Mean Estimation30 Apr 2026
38 more
- 2026Privately Learning Decision Lists and a Differentially Private Winnow7 Feb 2026
- 2026DP-λCGD: Efficient Noise Correlation for Differentially Private Model Training29 Jan 2026
- 2026Fundamental Limitations of Favorable Privacy-Utility Guarantees for DP-SGD15 Jan 2026
- 2026SoK: Enhancing Cryptographic Collaborative Learning with Differential Privacy14 Jan 2026
- 2026Communication-Efficient Federated AUC Maximization with Cyclic Client Participation4 Jan 2026
- 2025Prediction with Expert Advice under Local Differential Privacy7 Dec 2025
- 2025Operator-Theoretic Framework for Gradient-Free Federated Learning30 Nov 2025
- 2025Beyond Membership: Limitations of Add/Remove Adjacency in Differential Privacy26 Nov 2025
- 2025Understanding Private Learning From Feature Perspective22 Nov 2025
- 2025On the Gradient Complexity of Private Optimization with Private Oracles17 Nov 2025
- 2025ConvXformer: Differentially Private Hybrid ConvNeXt-Transformer for Inertial Navigation22 Oct 2025
- 2025Unified Privacy Guarantees for Decentralized Learning via Matrix Factorization20 Oct 2025
- 2025VaultGemma: A Differentially Private Gemma Model15 Oct 2025
- 2025Cocoon: A System Architecture for Differentially Private Training with Correlated Noises8 Oct 2025
- 2025Correlating Cross-Iteration Noise for DP-SGD using Model Curvature6 Oct 2025
- 2025Securing Private Federated Learning in a Malicious Setting: A Scalable TEE-Based Approach with Client Auditing10 Sep 2025
- 2025PLRV-O: Advancing Differentially Private Deep Learning via Privacy Loss Random Variable Optimization8 Sep 2025
- 2025Non-Asymptotic Analysis of Online Local Private Learning with SGD9 Jul 2025
- 2025On Design Principles for Private Adaptive Optimizers1 Jul 2025
- 2025The Hitchhiker's Guide to Efficient, End-to-End, and Tight DP Auditing20 Jun 2025
- 2025Private Continual Counting of Unbounded Streams17 Jun 2025
- 2025GeoClip: Geometry-Aware Clipping for Differentially Private SGD6 Jun 2025
- 2025Privacy-Preserving Federated Convex Optimization: Balancing Partial-Participation and Efficiency via Noise Cancellation3 Jun 2025
- 2025Privacy Amplification in Differentially Private Zeroth-Order Optimization with Hidden States30 May 2025
- 2025Differential Privacy Analysis of Decentralized Gossip Averaging under Varying Threat Models26 May 2025
- 2025Back to Square Roots: An Optimal Bound on the Matrix Factorization Error for Multi-Epoch Differentially Private SGD17 May 2025
- 2025An Inversion Theorem for Buffered Linear Toeplitz (BLT) Matrices and Applications to Streaming Differential Privacy30 Apr 2025
- 2025POPri: Private Federated Learning using Preference-Optimized Synthetic Data23 Apr 2025
- 2025Binned Group Algebra Factorization for Differentially Private Continual Counting6 Apr 2025
- 2025Personalized Federated Training of Diffusion Models with Privacy Guarantees1 Apr 2025
- 2025Empirical Privacy Variance16 Mar 2025
- 2025Gaussian DP for Reporting Differential Privacy Guarantees in Machine Learning13 Mar 2025
- 2025It's My Data Too: Private ML for Datasets with Multi-User Training Examples5 Mar 2025
- 2025Improved Regret in Stochastic Decision-Theoretic Online Learning under Differential Privacy16 Feb 2025
- 2025Privacy amplification by random allocation12 Feb 2025
- 2025Continual Release Moment Estimation with Differential Privacy10 Feb 2025
- 2024Data value estimation on private gradients22 Dec 2024
- 2024Balls-and-Bins Sampling for DP-SGD21 Dec 2024
50 newest of 170 All 170 (JSON)
- 2024Langevin Unlearning: A New Perspective of Noisy Gradient Descent for Machine Unlearningcited by 49
- 2024Certified Machine Unlearning via Noisy Stochastic Gradient Descentcited by 14
- 2022Control, Confidentiality, and the Right to be Forgottencited by 10
- 2023From Adaptive Query Release to Machine Unlearningcited by 10
- 2024Certified Machine Unlearning via Noisy Stochastic Gradient Descent25 Mar 2024
- 2024Langevin Unlearning: A New Perspective of Noisy Gradient Descent for Machine Unlearning18 Jan 2024
- 2023From Adaptive Query Release to Machine Unlearning20 Jul 2023
- 2022Control, Confidentiality, and the Right to be Forgotten14 Oct 2022
- 2024Differentially Private Reinforcement Learning with Self-Play11 Apr 2024
- 2021A Field Guide to Federated Optimizationcited by 315
- 2021Federated Learning with Buffered Asynchronous Aggregationcited by 190
- 2023How to DP-fy ML: A Practical Guide to Machine Learning with Differential Privacycited by 153
- 2021FedScale: Benchmarking Model and System Performance of Federated Learning at Scalecited by 136
- 2022Toward Training at ImageNet Scale with Differential Privacycited by 87
- 2021The Skellam Mechanism for Differentially Private Federated Learningcited by 68
- 2023Federated Learning of Gboard Language Models with Differential Privacycited by 66
- 2022Improved Differential Privacy for SGD via Optimal Private Linear Operators on Adaptive Streamscited by 59
- 2021Public Data-Assisted Mirror Descent for Private Model Trainingcited by 49
- 2023(Amplified) Banded Matrix Factorization: A unified approach to private trainingcited by 49
- 2022Differentially Private Learning Needs Hidden State (Or Much Faster Convergence)cited by 48
- 2022Multi-Epoch Matrix Factorization Mechanisms for Private Machine Learningcited by 48
12 most cited of 161 All 161 (JSON)
- 2026RegionFed: Federated Learning for Personalized Query Understanding in Heterogeneous Retail Environments4 Sep 2026
- 2026Private Computation Space: Experience with Trusted Multi-Cluster Federated Learning for Agriculture1 Sep 2026
- 2026Continual Learning With Participation Privacy: An Auditable Buffering-Aggregation Recipe8 Jul 2026
- 2026The Binary Tree Mechanism is Optimal for Differentially Private Continual Counting1 Jul 2026
- 2026Let's Ask Gauss: Improved One-Run Privacy Auditing10 Jun 2026
- 2026Revisiting Privacy Amplification by Subsampling in Selective Release DPSGD3 Jun 2026
- 2026When Do Fewer Coordinates Suffice in DP-SGD?3 Jun 2026
- 2026Local Differential Privacy with Correlated Noise Achieves Central-DP Optimal Cost28 May 2026
- 2026Beyond Square Roots: A Memory-Efficient Explicit Factorization for Multi-Epoch Private Learning18 May 2026
- 2026Deep Learning under Fractional-Order Differential Privacy11 May 2026
- 2026FIBER: A Differentially Private Optimizer with Filter-Aware Innovation Bias Correction5 May 2026
- 2026Shuffling-Aware Optimization for Private Vector Mean Estimation30 Apr 2026
12 newest of 161 All 161 (JSON)