@article{distanceawaremuonadaptivestepscalingforn, title = {Distance-Aware Muon: Adaptive Step Scaling for Normalized Optimization}, author = {Yury Demidovich and Abhishek Chakraborty and Grigory Malinovsky and Angelia Nedić and Peter Richtárik}, year = {2026}, eprint = {2605.18999}, archivePrefix = {arXiv}, url = {https://arxiv.org/abs/2605.18999}, }