@article{whymuonoutperformsadamacurvatureperspect, title = {Why Muon Outperforms Adam: A Curvature Perspective}, author = {Shuche Wang and Fengzhuo Zhang and Jiaxiang Li and Dirk Bergemann and Zhuoran Yang}, year = {2026}, eprint = {2606.04662}, archivePrefix = {arXiv}, url = {https://arxiv.org/abs/2606.04662}, }