arXiv:2604. 09967v2 Announce Type: replace-cross Abstract: Muon has emerged as a promising optimizer for large-scale foundation model pre-training by exploiting the matrix structure of neural network updates through iterative orthogonalization.
By Ziyue Liu, Ruijie Zhang, Zhengyang Wang, Yequan Zhao, Yupeng Su, Zi Yang, Zheng Zhang
arXiv:2512. 04632v2 Announce Type: replace Abstract: Orthogonality-based optimizers, such as Muon, have recently shown strong performance across large-scale training and community-driven efficiency challenges.
By Thibaut Boissin (IRIT-MISFIT), Thomas Massena (DTIPG - SNCF, IRIT-MISFIT), Franck Mamalet (IRIT-MISFIT), Mathieu Serrurier (IRIT-MISFIT)
arXiv:2606. 16371v1 Announce Type: new Abstract: Muon is an optimizer that computes updates using the polar factor of the momentum matrix and has shown strong empirical performance across a range of training settings.
By Bishnu Dev (Mohamed bin Zayed University of Artificial Intelligence, Abu Dhabi, UAE), Sushil Bohara (Mohamed bin Zayed University of Artificial Intelligence, Abu Dhabi, UAE), Martin Tak\'a\v{c} (Mohamed bin Zayed University of Artificial Intelligence, Abu Dhabi, UAE), Samuel Horv\'ath (Mohamed bin Zayed University of Artificial Intelligence, Abu Dhabi, UAE)
arXiv:2606. 17526v1 Announce Type: new Abstract: Efficient optimization is essential for training large language models.
By Da Chang, Ganzhao Yuan
arXiv:2606. 27153v1 Announce Type: cross Abstract: Matrix-orthogonalization-based optimizers, exemplified by Muon, have demonstrated strong convergence behavior across a wide range of modern deep learning workloads.
By Vincent Chen, Starrick Liu, Regis Cheng, Dance Yang, Shalfun Li, Ryan Yu, Lucy Liang, Hang Su, Roy Gan, Hao Wang, Qian Wang
arXiv:2607. 17620v1 Announce Type: new Abstract: Low-rank adaptation (LoRA) makes finetuning large language models cheaper by adding to each weight matrix a trainable low-rank update parameterized as the product of two matrices.
By Nikhil Ghosh, Tetiana Parshakova, Robert M. Gower