Do Not Let Privacy Overbill Utility: Gradient Embedding Perturbation for Private Learning
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Abstract (arXiv)
The privacy leakage of the model about the training data can be bounded in the differential privacy mechanism. However, for meaningful privacy parameters, a differentially private model degrades the utility drastically when the model comprises a large number of trainable parameters. In this paper, we propose an algorithm Gradient Embedding Perturbation (GEP) towards training differentially private deep models with decent accuracy. Specifically, in each gradient descent step, GEP first projects individual private gradient into a non-sensitive anchor subspace, producing a low-dimensional gradient embedding and a small-norm residual gradient. Then, GEP perturbs the low-dimensional embedding and the residual gradient separately according to the privacy budget. Such a decomposition permits a small perturbation variance, which greatly helps to break the dimensional barrier of private learning. With GEP, we achieve decent accuracy with reasonable computational cost and modest privacy guarantee for deep models. Especially, with privacy bound ε=8, we achieve 74.9% test accuracy on CIFAR10 and 95.1% test accuracy on SVHN, significantly improving over existing results.
Key facts. Cited by 86 papers in the map (data through 7 Oct 2026). Builds on 34 of its 61 references that are in the map. First posted on arXiv 25 Feb 2021.
Builds on
34 of 61 references.
References · 34
- 2015Deep Residual Learning for Image Recognitioncited by 51,809
- 2019Momentum Contrast for Unsupervised Visual Representation Learningcited by 7,482
- 2015Batch Normalization: Accelerating Deep Network Training by Reducing Internal Covariate Shiftcited by 6,979
- 2016Deep Learning with Differential Privacycited by 2,682
- 2016Membership Inference Attacks against Machine Learning Modelscited by 2,221
- 2018Group Normalizationcited by 1,514
- 2020Big Self-Supervised Models are Strong Semi-Supervised Learnerscited by 1,375
- 2019Deep Leakage from Gradientscited by 1,004
- 2018The Secret Sharer: Evaluating and Testing Unintended Memorization in Neural Networkscited by 847
- 2017Renyi Differential Privacycited by 643
- 2015An Introduction to Matrix Concentration Inequalitiescited by 391
- 2016Semi-supervised Knowledge Transfer for Deep Learning from Private Training Datacited by 347
22 more
- 2016Concentrated Differential Privacy: Simplifications, Extensions, and Lower Boundscited by 339
- 2017Deep Models Under the GAN: Information Leakage from Collaborative Deep Learningcited by 326
- 2018Scalable Private Learning with PATEcited by 266
- 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
- 2018Subsampled R'enyi Differential Privacy and Analytical Moments Accountantcited by 234
- 2019PowerSGD: Practical Low-Rank Gradient Compression for Distributed Optimizationcited by 234
- 2020Differentially Private Learning Needs Better Features (or Much More Data)cited by 233
- 2018Gradient Descent Happens in a Tiny Subspacecited by 208
- 2019R'enyi Differential Privacy of the Sampled Gaussian Mechanismcited by 199
- 2020Understanding Gradient Clipping in Private SGD: A Geometric Perspectivecited by 140
- 2018Differentially Private Empirical Risk Minimization Revisited: Faster and More Generalcited by 127
- 2014Differentially Private Empirical Risk Minimization: Efficient Algorithms and Tight Error Boundscited by 104
- 2020Bypassing the Ambient Dimension: Private SGD with Gradient Subspace Identificationcited by 88
- 2019Data Poisoning against Differentially-Private Learners: Attacks and Defensescited by 75
- 2019Limits of Private Learning with Access to Public Datacited by 38
- 2019Hessian based analysis of SGD for Deep Nets: Dynamics and Generalizationcited by 37
- 2018Concentrated Differentially Private Gradient Descent with Adaptive per-Iteration Privacy Budgetcited by 31
- 2020Low-rank Gradient Approximation For Memory-Efficient On-device Training of Deep Neural Networkcited by 20
- 2017Differentially Private Empirical Risk Minimization with Input Perturbationcited by 19
- 2019Assessing differentially private deep learning with Membership Inferencecited by 11
- 2020Fast Dimension Independent Private AdaGrad on Publicly Estimated Subspacescited by 10
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Citing papers per year: 2021: 8; 2022: 20; 2023: 22; 2024: 19; 2025: 12; 2026: 5.
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- 2021Large Language Models Can Be Strong Differentially Private Learnerscited by 405
- 2021Differentially Private Fine-tuning of Language Modelscited by 392
- 2022Unlocking High-Accuracy Differentially Private Image Classification through Scalecited by 218
- 2022Synthetic Text Generation with Differential Privacy: A Simple and Practical Recipecited by 108
- 2021Trustworthy AI: A Computational Perspectivecited by 93
- 2021Large Scale Private Learning via Low-rank Reparametrizationcited by 87
- 2022Position: Considerations for Differentially Private Learning with Large-Scale Public Pretrainingcited by 86
- 2022Mixed Differential Privacy in Computer Visioncited by 53
- 2022Exploring the Limits of Differentially Private Deep Learning with Group-wise Clippingcited by 52
- 2021Public Data-Assisted Mirror Descent for Private Model Trainingcited by 49
- 2022When Does Differentially Private Learning Not Suffer in High Dimensions?cited by 48
- 2022Scalable and Efficient Training of Large Convolutional Neural Networks with Differential Privacycited by 47
38 more
- 2022Differentially Private Bias-Term Fine-tuning of Foundation Modelscited by 47
- 2021Private Adaptive Gradient Methods for Convex Optimizationcited by 46
- 2024Private Fine-tuning of Large Language Models with Zeroth-order Optimizationcited by 41
- 2022Gradient Obfuscation Gives a False Sense of Security in Federated Learningcited by 37
- 2023Why Is Public Pretraining Necessary for Private Model Training?cited by 36
- 2022Federated Learning with Sparsified Model Perturbation: Improving Accuracy under Client-Level Differential Privacycited by 32
- 2022Private Estimation with Public Datacited by 31
- 2021DPNAS: Neural Architecture Search for Deep Learning with Differential Privacycited by 20
- 2023Differentially Private Image Classification by Learning Priors from Random Processescited by 19
- 2023Unlocking Accuracy and Fairness in Differentially Private Image Classificationcited by 16
- 2022Fine-Tuning with Differential Privacy Necessitates an Additional Hyperparameter Searchcited by 15
- 2023Choosing Public Datasets for Private Machine Learning via Gradient Subspace Distancecited by 14
- 2023Differentially Private Sharpness-Aware Trainingcited by 14
- 2023Private Distribution Learning with Public Data: The View from Sample Compressioncited by 14
- 2022Differentially Private Model Compressioncited by 13
- 2023DPMLBench: Holistic Evaluation of Differentially Private Machine Learningcited by 13
- 2022Differential Privacy in Natural Language Processing: The Story So Farcited by 12
- 2023PILLAR: How to make semi-private learning more effectivecited by 10
- 2023Optimal Differentially Private Model Training with Public Datacited by 9
- 2023DPSUR: Accelerating Differentially Private Stochastic Gradient Descent Using Selective Update and Releasecited by 9
- 2024Noiseless Privacy-Preserving Decentralized Learningcited by 9
- 2021Improving Differentially Private SGD via Randomly Sparsified Gradientscited by 8
- 2024LLM-based Privacy Data Augmentation Guided by Knowledge Distillation with a Distribution Tutor for Medical Text Classificationcited by 8
- 2022Private, Efficient, and Accurate: Protecting Models Trained by Multi-party Learning with Differential Privacycited by 7
- 2022Differentially Private Image Classification from Featurescited by 7
- 2024DPAdapter: Improving Differentially Private Deep Learning through Noise Tolerance Pre-trainingcited by 7
- 2024Efficiently Computing Similarities to Private Datasetscited by 7
- 2023Spectral-DP: Differentially Private Deep Learning through Spectral Perturbation and Filteringcited by 6
- 2023Resisting Backdoor Attacks in Federated Learning via Bidirectional Elections and Individual Perspectivecited by 6
- 2025DC-SGD: Differentially Private SGD with Dynamic Clipping through Gradient Norm Distribution Estimationcited by 6
- 2023Differential Privacy Meets Neural Network Pruningcited by 5
- 2023On the Benefits of Public Representations for Private Transfer Learning under Distribution Shiftcited by 5
- 2024Public-data Assisted Private Stochastic Optimization: Power and Limitationscited by 5
- 2022Differentially Private Deep Learning with ModelMixcited by 4
- 2022Privacy in Practice: Private COVID-19 Detection in X-Ray Images (Extended Version)cited by 4
- 2023Equivariant Differentially Private Deep Learning: Why DP-SGD Needs Sparser Modelscited by 4
- 2023All Rivers Run to the Sea: Private Learning with Asymmetric Flowscited by 4
- 2024Low-Cost Privacy-Preserving Decentralized Learningcited by 4
50 most cited of 86 All 86 (JSON)
- 2026Differentially Private Natural Gradient Descent7 Jul 2026
- 2026Escaping Iterative Parameter-Space Noise: Differentially Private Learning with a Hypernetwork25 Jun 2026
- 2026When Do Fewer Coordinates Suffice in DP-SGD?3 Jun 2026
- 2026An exponential mechanism based on quadratic approximations for fine-tuning machine learning models with privacy guarantees19 May 2026
- 2026DP-SelFT: Differentially Private Selective Fine-Tuning for Large Language Models17 May 2026
- 2025Private Zeroth-Order Optimization with Public Data13 Nov 2025
- 2025Privacy-Aware Time Series Synthesis via Public Knowledge Distillation1 Nov 2025
- 2025Correlating Cross-Iteration Noise for DP-SGD using Model Curvature6 Oct 2025
- 2025Privacy-Preserving Generation of Clinical Narratives from Medical Terminologies13 Sep 2025
- 2025Towards Reliable and Generalizable Differentially Private Machine Learning (Extended Version)21 Aug 2025
- 2025AdaDPIGU: Differentially Private SGD with Adaptive Clipping and Importance-Based Gradient Updates for Deep Neural Networks9 Jul 2025
- 2025Memory-Efficient Differentially Private Training with Gradient Random Projection18 Jun 2025
38 more
- 2025Randomized Dimensionality Reduction for Euclidean Maximization and Diversity Measures30 May 2025
- 2025Optimal Client Sampling in Federated Learning with Client-Level Heterogeneous Differential Privacy19 May 2025
- 2025DC-SGD: Differentially Private SGD with Dynamic Clipping through Gradient Norm Distribution Estimation29 Mar 2025
- 2025VP-NTK: Exploring the Benefits of Visual Prompting in Differentially Private Data Synthesis20 Mar 2025
- 2025An Optimization Framework for Differentially Private Sparse Fine-Tuning17 Mar 2025
- 2024Locally Private Sampling with Public Data13 Nov 2024
- 2024Adaptively Private Next-Token Prediction of Large Language Models2 Oct 2024
- 2024Training with Differential Privacy: A Gradient-Preserving Noise Reduction Approach with Provable Security18 Sep 2024
- 2024Learning Privacy-Preserving Student Networks via Discriminative-Generative Distillation4 Sep 2024
- 2024Differentially Private Kernel Density Estimation3 Sep 2024
- 2024S2NeRF: Privacy-preserving Training Framework for NeRF3 Sep 2024
- 2024Weights Shuffling for Improving DPSGD in Transformer-based Models22 Jul 2024
- 2024Differentially Private Neural Network Training Under the Hidden State Assumption11 Jul 2024
- 2024Clip Body and Tail Separately: High Probability Guarantees for DPSGD with Heavy Tails27 May 2024
- 2024Noiseless Privacy-Preserving Decentralized Learning15 Apr 2024
- 2024Provable Privacy with Non-Private Pre-Processing19 Mar 2024
- 2024Low-Cost Privacy-Preserving Decentralized Learning18 Mar 2024
- 2024Efficiently Computing Similarities to Private Datasets13 Mar 2024
- 2024Public-data Assisted Private Stochastic Optimization: Power and Limitations6 Mar 2024
- 2024DPAdapter: Improving Differentially Private Deep Learning through Noise Tolerance Pre-training5 Mar 2024
- 2024LLM-based Privacy Data Augmentation Guided by Knowledge Distillation with a Distribution Tutor for Medical Text Classification26 Feb 2024
- 2024RQP-SGD: Differential Private Machine Learning through Noisy SGD and Randomized Quantization9 Feb 2024
- 2024On Differentially Private Subspace Estimation in a Distribution-Free Setting9 Feb 2024
- 2024Private Fine-tuning of Large Language Models with Zeroth-order Optimization9 Jan 2024
- 2023On the Benefits of Public Representations for Private Transfer Learning under Distribution Shift24 Dec 2023
- 2023All Rivers Run to the Sea: Private Learning with Asymmetric Flows5 Dec 2023
- 2023DPSUR: Accelerating Differentially Private Stochastic Gradient Descent Using Selective Update and Release23 Nov 2023
- 2023Inference and Interference: The Role of Clipping, Pruning and Loss Landscapes in Differentially Private Stochastic Gradient Descent12 Nov 2023
- 2023Coupling public and private gradient provably helps optimization2 Oct 2023
- 2023Resisting Backdoor Attacks in Federated Learning via Bidirectional Elections and Individual Perspective28 Sep 2023
- 2023Private Matrix Factorization with Public Item Features17 Sep 2023
- 2023Unlocking Accuracy and Fairness in Differentially Private Image Classification21 Aug 2023
- 2023Private Distribution Learning with Public Data: The View from Sample Compression11 Aug 2023
- 2023Spectral-DP: Differentially Private Deep Learning through Spectral Perturbation and Filtering25 Jul 2023
- 2023Optimal Differentially Private Model Training with Public Data26 Jun 2023
- 2023Pre-Pruning and Gradient-Dropping Improve Differentially Private Image Classification19 Jun 2023
- 2023AnoFel: Supporting Anonymity for Privacy-Preserving Federated Learning12 Jun 2023
- 2023Differentially Private Sharpness-Aware Training9 Jun 2023
50 newest of 86 All 86 (JSON)
- 2021Large Language Models Can Be Strong Differentially Private Learnerscited by 405
- 2021Differentially Private Fine-tuning of Language Modelscited by 392
- 2022Unlocking High-Accuracy Differentially Private Image Classification through Scalecited by 218
- 2022Synthetic Text Generation with Differential Privacy: A Simple and Practical Recipecited by 108
- 2021Trustworthy AI: A Computational Perspectivecited by 93
- 2021Large Scale Private Learning via Low-rank Reparametrizationcited by 87
- 2022Position: Considerations for Differentially Private Learning with Large-Scale Public Pretrainingcited by 86
- 2022Mixed Differential Privacy in Computer Visioncited by 53
- 2022Exploring the Limits of Differentially Private Deep Learning with Group-wise Clippingcited by 52
- 2021Public Data-Assisted Mirror Descent for Private Model Trainingcited by 49
- 2022When Does Differentially Private Learning Not Suffer in High Dimensions?cited by 48
- 2022Scalable and Efficient Training of Large Convolutional Neural Networks with Differential Privacycited by 47
12 most cited of 85 All 85 (JSON)
- 2026Differentially Private Natural Gradient Descent7 Jul 2026
- 2026Escaping Iterative Parameter-Space Noise: Differentially Private Learning with a Hypernetwork25 Jun 2026
- 2026When Do Fewer Coordinates Suffice in DP-SGD?3 Jun 2026
- 2026An exponential mechanism based on quadratic approximations for fine-tuning machine learning models with privacy guarantees19 May 2026
- 2026DP-SelFT: Differentially Private Selective Fine-Tuning for Large Language Models17 May 2026
- 2025Private Zeroth-Order Optimization with Public Data13 Nov 2025
- 2025Privacy-Aware Time Series Synthesis via Public Knowledge Distillation1 Nov 2025
- 2025Correlating Cross-Iteration Noise for DP-SGD using Model Curvature6 Oct 2025
- 2025Privacy-Preserving Generation of Clinical Narratives from Medical Terminologies13 Sep 2025
- 2025Towards Reliable and Generalizable Differentially Private Machine Learning (Extended Version)21 Aug 2025
- 2025AdaDPIGU: Differentially Private SGD with Adaptive Clipping and Importance-Based Gradient Updates for Deep Neural Networks9 Jul 2025
- 2025Memory-Efficient Differentially Private Training with Gradient Random Projection18 Jun 2025
12 newest of 85 All 85 (JSON)