@article{demidovich2026distanceawaremuon, title={Distance-Aware Muon: Adaptive Step Scaling for Normalized Optimization}, author={Demidovich, Yury and Chakraborty, Abhishek and Malinovsky, Grigory and Nedi{\'c}, Angelia and Richt{\'a}rik, Peter}, journal={arXiv preprint arXiv:2605.18999}, year={2026}, eprint={2605.18999}, archivePrefix={arXiv}, url={https://arxiv.org/abs/2605.18999} }