GNMR: Runtime Stability Control for Low-Precision Large Language Model Training

Boao Kong, Weichen Jia, Engao Zhang, Guohong Li, Yonghan Dong, Yao Wang, Yaoyuan Wang, Yunke Peng, Kun Yuan


Abstract
Training stability is a key bottleneck in low-precision language model training: efficient low-cost paths can still produce short-lived numerical risks at a small set of operators. We formulate this as runtime stability control and present **G**radient **N**orm-to-**M**ean **R**atio (**GNMR**), a lightweight controller that compares each recoverable unit’s current gradient norm with its historical mean. Together with 𝛥-GNMR for abrupt short-window increases, GNMR maps local risk signals to bounded recovery actions under a hard maxO budget and a short lock interval, without changing the numerical format, kernel, or backend recipe. Across activation-quantization stress, DeepSeek-style recipe-level training, and LLaMA-2 13B fine-tuning, GNMR preserves high-fidelity quality with sparse, budgeted recovery. These results support GNMR as a backend-agnostic controller to improve low-precision training stability while preserving low-cost execution.
Anthology ID:
2026.findings-emnlp.1810
Volume:
Findings of the Association for Computational Linguistics: EMNLP 2026
Month:
October
Year:
2026
Address:
Budapest, Hungary
Editors:
Hung-Yi Lee, Sunipa Dev, Jessy Li, Desmond Elliott
Venue:
Findings
SIG:
SIGDAT
Publisher:
Association for Computational Linguistics
Note:
Pages:
38665–38689
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URL:
https://aclanthology.org/2026.findings-emnlp.1810/
DOI:
Bibkey:
Cite (ACL):
Boao Kong, Weichen Jia, Engao Zhang, Guohong Li, Yonghan Dong, Yao Wang, Yaoyuan Wang, Yunke Peng, and Kun Yuan. 2026. GNMR: Runtime Stability Control for Low-Precision Large Language Model Training. In Findings of the Association for Computational Linguistics: EMNLP 2026, pages 38665–38689, Budapest, Hungary. Association for Computational Linguistics.
Cite (Informal):
GNMR: Runtime Stability Control for Low-Precision Large Language Model Training (Kong et al., Findings 2026)
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PDF:
https://aclanthology.org/2026.findings-emnlp.1810.pdf