On the accuracy and efficiency of group-wise clipping in differentially private optimization
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Abstract (arXiv)
Recent advances have substantially improved the accuracy, memory cost, and training speed of differentially private (DP) deep learning, especially on large vision and language models with millions to billions of parameters. In this work, we thoroughly study the per-sample gradient clipping style, a key component in DP optimization. We show that different clipping styles have the same time complexity but instantiate an accuracy-memory trade-off: while the all-layer clipping (of coarse granularity) is the most prevalent and usually gives the best accuracy, it incurs heavier memory cost compared to other group-wise clipping, such as the layer-wise clipping (of finer granularity). We formalize this trade-off through our convergence theory and complexity analysis. Importantly, we demonstrate that the accuracy gap between group-wise clipping and all-layer clipping becomes smaller for larger models, while the memory advantage of the group-wise clipping remains. Consequently, the group-wise clipping allows DP optimization of large models to achieve high accuracy and low peak memory simultaneously.
Key facts. Cited by 7 papers in the map (data through 14 Oct 2026). Builds on 29 of its 37 references that are in the map. First posted on arXiv 30 Oct 2023.
Builds on
29 of 37 references.
References · 29
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17 more
- 2019Differentially Private Learning with Adaptive Clippingcited by 220
- 2021Numerical Composition of Differential Privacycited by 180
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- 2017Stochastic gradient descent performs variational inference, converges to limit cycles for deep networkscited by 109
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Citing papers per year: 2024: 3; 2025: 4.
7 papers.
- 2024LLM-PBE: Assessing Data Privacy in Large Language Modelscited by 41
- 2025Tokens for Learning, Tokens for Unlearning: Mitigating Membership Inference Attacks in Large Language Models via Dual-Purpose Trainingcited by 15
- 2024Pre-training Differentially Private Models with Limited Public Datacited by 8
- 2025Towards hyperparameter-free optimization with differential privacycited by 7
- 2024Can large language models be privacy preserving and fair medical coders?cited by 1
- 2025FlashDP: Private Training Large Language Models with Efficient DP-SGDcited by 1
- 2025Towards Robust Fact-Checking: A Multi-Agent System with Advanced Evidence Retrievalcited by 0
- 2025FlashDP: Private Training Large Language Models with Efficient DP-SGD1 Jul 2025
- 2025Towards Robust Fact-Checking: A Multi-Agent System with Advanced Evidence Retrieval22 Jun 2025
- 2025Towards hyperparameter-free optimization with differential privacy2 Mar 2025
- 2025Tokens for Learning, Tokens for Unlearning: Mitigating Membership Inference Attacks in Large Language Models via Dual-Purpose Training27 Feb 2025
- 2024Can large language models be privacy preserving and fair medical coders?7 Dec 2024
- 2024LLM-PBE: Assessing Data Privacy in Large Language Models23 Aug 2024
- 2024Pre-training Differentially Private Models with Limited Public Data28 Feb 2024