@article{turbomuonalmostorthogonalpreconditioning, title = {Turbo-Muon: Almost-Orthogonal Pre-Conditioning for Fast Muon Updates}, author = {Thibaut Boissin and Thomas Massena and Franck Mamalet and Mathieu Serrurier}, year = {2025}, eprint = {2512.04632}, archivePrefix = {arXiv}, url = {https://arxiv.org/abs/2512.04632}, }