@article{varianceadaptivemuonacceleratingllmpretr, title = {Variance-Adaptive Muon: Accelerating LLM Pretraining with NSR-Modulated and Variance-Scaled Momentum}, author = {Jingru Li and Yibo Fan and Huan Li}, year = {2026}, eprint = {2601.14603}, archivePrefix = {arXiv}, url = {https://arxiv.org/abs/2601.14603}, }