Differentially Private Sharpness-Aware Training
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Abstract (arXiv)
Training deep learning models with differential privacy (DP) results in a degradation of performance. The training dynamics of models with DP show a significant difference from standard training, whereas understanding the geometric properties of private learning remains largely unexplored. In this paper, we investigate sharpness, a key factor in achieving better generalization, in private learning. We show that flat minima can help reduce the negative effects of per-example gradient clipping and the addition of Gaussian noise. We then verify the effectiveness of Sharpness-Aware Minimization (SAM) for seeking flat minima in private learning. However, we also discover that SAM is detrimental to the privacy budget and computational time due to its two-step optimization. Thus, we propose a new sharpness-aware training method that mitigates the privacy-optimization trade-off. Our experimental results demonstrate that the proposed method improves the performance of deep learning models with DP from both scratch and fine-tuning. Code is available at https://github.com/jinseongP/DPSAT.
Key facts. Cited by 14 papers in the map (data through 14 Oct 2026). Builds on 41 of its 55 references that are in the map. First posted on arXiv 9 Jun 2023.
Builds on
41 of 55 references.
References · 41
- 2020Training data-efficient image transformers & distillation through attentioncited by 4,586
- 2016Deep Learning with Differential Privacycited by 2,728
- 2020Sharpness-Aware Minimization for Efficiently Improving Generalizationcited by 1,417
- 2016On Large-Batch Training for Deep Learning: Generalization Gap and Sharp Minimacited by 1,352
- 2018Averaging Weights Leads to Wider Optima and Better Generalizationcited by 1,209
- 2017Visualizing the Loss Landscape of Neural Netscited by 1,130
- 2019Deep Leakage from Gradientscited by 1,021
- 2021CrossViT: Cross-Attention Multi-Scale Vision Transformer for Image Classificationcited by 806
- 2017Sharp Minima Can Generalize For Deep Netscited by 466
- 2021Gradient Descent on Neural Networks Typically Occurs at the Edge of Stabilitycited by 427
- 2021Large Language Models Can Be Strong Differentially Private Learnerscited by 412
- 2021Differentially Private Fine-tuning of Language Modelscited by 400
29 more
- 2021Opacus: User-Friendly Differential Privacy Library in PyTorchcited by 383
- 2019Differential Privacy Has Disparate Impact on Model Accuracycited by 316
- 2017Empirical Analysis of the Hessian of Over-Parametrized Neural Networkscited by 290
- 2021When Vision Transformers Outperform ResNets without Pre-training or Strong Data Augmentationscited by 260
- 2020Differentially Private Learning Needs Better Features (or Much More Data)cited by 235
- 2019Differentially Private Learning with Adaptive Clippingcited by 220
- 2022Surrogate Gap Minimization Improves Sharpness-Aware Trainingcited by 172
- 2020Torchattacks: A PyTorch Repository for Adversarial Attackscited by 158
- 2020Implicit Gradient Regularizationcited by 146
- 2022Towards Understanding Sharpness-Aware Minimizationcited by 146
- 2022Generalized Federated Learning via Sharpness Aware Minimizationcited by 144
- 2021Efficient Sharpness-aware Minimization for Improved Training of Neural Networkscited by 137
- 2020Tempered Sigmoid Activations for Deep Learning with Differential Privacycited by 122
- 2022Penalizing Gradient Norm for Efficiently Improving Generalization in Deep Learningcited by 122
- 2021Sharpness-Aware Minimization Improves Language Model Generalizationcited by 108
- 2022Sharpness-Aware Training for Freecited by 95
- 2021Large Scale Private Learning via Low-rank Reparametrizationcited by 88
- 2021Do Not Let Privacy Overbill Utility: Gradient Embedding Perturbation for Private Learningcited by 86
- 2022When Do Flat Minima Optimizers Work?cited by 78
- 2019Measurements of Three-Level Hierarchical Structure in the Outliers in the Spectrum of Deepnet Hessianscited by 68
- 2023Gradient Norm Aware Minimization Seeks First-Order Flatness and Improves Generalizationcited by 57
- 2022Scalable and Efficient Training of Large Convolutional Neural Networks with Differential Privacycited by 48
- 2020Adaptive Inertia: Disentangling the Effects of Adaptive Learning Rate and Momentumcited by 40
- 2021On the Convergence and Calibration of Deep Learning with Differential Privacycited by 36
- 2021DPNAS: Neural Architecture Search for Deep Learning with Differential Privacycited by 20
- 2023Stability Analysis of Sharpness-Aware Minimizationcited by 14
- 2022A New Linear Scaling Rule for Private Adaptive Hyperparameter Optimizationcited by 11
- 2021DPlis: Boosting Utility of Differentially Private Deep Learning via Randomized Smoothingcited by 10
- 2023Exploring the Effect of Multi-step Ascent in Sharpness-Aware Minimizationcited by 9
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Citing papers per year: 2023: 1; 2024: 6; 2025: 2; 2026: 5.
14 papers.
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- 2024DiSK: Differentially Private Optimizer with Simplified Kalman Filter for Noise Reductioncited by 11
- 2024Beyond Local Sharpness: Communication-Efficient Global Sharpness-aware Minimization for Federated Learningcited by 8
- 2024DPAdapter: Improving Differentially Private Deep Learning through Noise Tolerance Pre-trainingcited by 7
- 2024Delving into Differentially Private Transformercited by 5
- 2023Bias-Aware Minimisation: Understanding and Mitigating Estimator Bias in Private SGDcited by 2
- 2024Federated Learning for Heterogeneous Electronic Health Record Systems with Cost Effective Participant Selectioncited by 1
- 2025Multi-Class Support Vector Machine with Differential Privacycited by 1
- 2025Optimizer Dynamics at the Edge of Stability with Differential Privacycited by 1
- 2026When Gradient Clipping Becomes a Control Mechanism for Differential Privacy in Deep Learningcited by 1
- 2024DP2-FedSAM: Enhancing Differentially Private Federated Learning Through Personalized Sharpness-Aware Minimizationcited by 0
- 2026Deep Learning under Fractional-Order Differential Privacycited by 0
- 2026Private and Stable Test-Time Adaptation with Differential Privacycited by 0
2 more
- 2026Privacy Preserving Gossip Learning13 Sep 2026
- 2026When Privacy Hurts Mergeability: Geometry-Aware Model Merging under Differential Privacy27 Aug 2026
- 2026Private and Stable Test-Time Adaptation with Differential Privacy1 Jun 2026
- 2026Deep Learning under Fractional-Order Differential Privacy11 May 2026
- 2026When Gradient Clipping Becomes a Control Mechanism for Differential Privacy in Deep Learning11 Feb 2026
- 2025Optimizer Dynamics at the Edge of Stability with Differential Privacy22 Dec 2025
- 2025Multi-Class Support Vector Machine with Differential Privacy5 Oct 2025
- 2024Beyond Local Sharpness: Communication-Efficient Global Sharpness-aware Minimization for Federated Learning4 Dec 2024
- 2024DiSK: Differentially Private Optimizer with Simplified Kalman Filter for Noise Reduction4 Oct 2024
- 2024DP2-FedSAM: Enhancing Differentially Private Federated Learning Through Personalized Sharpness-Aware Minimization20 Sep 2024
- 2024Delving into Differentially Private Transformer28 May 2024
- 2024Federated Learning for Heterogeneous Electronic Health Record Systems with Cost Effective Participant Selection20 Apr 2024
- 2024DiSK: Differentially Private Optimizer with Simplified Kalman Filter for Noise Reductioncited by 11
- 2024Beyond Local Sharpness: Communication-Efficient Global Sharpness-aware Minimization for Federated Learningcited by 8
- 2024DPAdapter: Improving Differentially Private Deep Learning through Noise Tolerance Pre-trainingcited by 7
- 2024Delving into Differentially Private Transformercited by 5
- 2023Bias-Aware Minimisation: Understanding and Mitigating Estimator Bias in Private SGDcited by 2
- 2024Federated Learning for Heterogeneous Electronic Health Record Systems with Cost Effective Participant Selectioncited by 1
- 2025Multi-Class Support Vector Machine with Differential Privacycited by 1
- 2025Optimizer Dynamics at the Edge of Stability with Differential Privacycited by 1
- 2026When Gradient Clipping Becomes a Control Mechanism for Differential Privacy in Deep Learningcited by 1
- 2024DP2-FedSAM: Enhancing Differentially Private Federated Learning Through Personalized Sharpness-Aware Minimizationcited by 0
- 2026Deep Learning under Fractional-Order Differential Privacycited by 0
- 2026Private and Stable Test-Time Adaptation with Differential Privacycited by 0
12 most cited of 14 All 14 (JSON)
- 2026Privacy Preserving Gossip Learning13 Sep 2026
- 2026When Privacy Hurts Mergeability: Geometry-Aware Model Merging under Differential Privacy27 Aug 2026
- 2026Private and Stable Test-Time Adaptation with Differential Privacy1 Jun 2026
- 2026Deep Learning under Fractional-Order Differential Privacy11 May 2026
- 2026When Gradient Clipping Becomes a Control Mechanism for Differential Privacy in Deep Learning11 Feb 2026
- 2025Optimizer Dynamics at the Edge of Stability with Differential Privacy22 Dec 2025
- 2025Multi-Class Support Vector Machine with Differential Privacy5 Oct 2025
- 2024Beyond Local Sharpness: Communication-Efficient Global Sharpness-aware Minimization for Federated Learning4 Dec 2024
- 2024DiSK: Differentially Private Optimizer with Simplified Kalman Filter for Noise Reduction4 Oct 2024
- 2024DP2-FedSAM: Enhancing Differentially Private Federated Learning Through Personalized Sharpness-Aware Minimization20 Sep 2024
- 2024Delving into Differentially Private Transformer28 May 2024
- 2024Federated Learning for Heterogeneous Electronic Health Record Systems with Cost Effective Participant Selection20 Apr 2024
12 newest of 14 All 14 (JSON)