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Paper · arXiv

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

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 Gradient Norm-to-Mean Ratio (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 $\mathrm{maxO}$ budget and a short lock interval, without changing the numerical format, kernel, or backend recipe. Across activation-quantization stress, DeepSeek-style recipe-level...

AuthorsBoao Kong, Weichen Jia, Engao Zhang et al.
Primary categorycs.LG
Published30 May 2026
Last updated at source30 May 2026
cs.LGmath.OCstat.ML
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