@article{anexplorationofnoneuclideangradientdesce, title = {An Exploration of Non-Euclidean Gradient Descent: Muon and its Many Variants}, author = {Michael Crawshaw and Chirag Modi and Mingrui Liu and Robert M. Gower}, year = {2025}, eprint = {2510.09827}, archivePrefix = {arXiv}, url = {https://arxiv.org/abs/2510.09827}, }