The paper studies how different optimizers perform as training duration (overtraining) increases, focusing on matrix‑preconditioned methods (Muon, SOAP) and a momentum‑scheduled method (ADANA) compared to AdamW. Across models ranging from 51M to 253M parameters and overtraining factors up to 256×, the authors find that optimal learning‑rate schedules, weight‑decay coefficients, and memory settings shift with horizon, and that ADANA consistently outperforms AdamW, especially with log‑time weight decay and momentum cooldown. Muon and SOAP maintain roughly constant token‑efficiency advantages, with SOAP potentially improving at the highest overtraining levels.
By Katie Everett, Shikai Qiu
arXiv:2607. 20548v1 Announce Type: cross Abstract: Higher-order optimizers such as Muon and SOAP offer faster convergence than AdamW, but their computational cost and numerical stability challenges have limited adoption at scale.
By Mikail Khona, Aditya Vavre, Boxiang Wang, Deyu Fu, Hao Wu, Mike Chrzanowski, Bryan Catanzaro, Dheevatsa Mudigere, Jeff Pool, Michael Lightstone, Mohammad Shoeybi, Mostofa Patwary, Nima Tajbakhsh, Tijmen Blankevoort
arXiv:2505. 23725v3 Announce Type: replace Abstract: DiLoCo is a powerful framework for training large language models (LLMs), enabling larger optimal batch sizes and increased accelerator utilization under networking constraints.
By Benjamin Th\'erien, Xiaolong Huang, Aaron Defazio, Irina Rish, Eugene Belilovsky
arXiv:2507. 01598v5 Announce Type: replace Abstract: Muon, a recently proposed optimizer that leverages the inherent matrix structure of neural network parameters, has demonstrated strong empirical performance, indicating its potential as a successor to standard optimizers such as AdamW.
By Naoki Sato, Hiroki Naganuma, Hideaki Iiduka
The paper reports on the updated AlgoPerf V1 benchmark, evaluating new training algorithms on wall‑clock time‑to‑target across nine workloads on fixed hardware. Using a self‑tuning ruleset that requires a single configuration for all workloads, Schedule‑Free AdamW achieved the best overall performance among 13 PyTorch and JAX submissions. The study also examines trade‑offs between step efficiency and runtime, finding that matrix‑preconditioned and two‑loop methods are sample‑efficient but need aggressive computational optimizations, and highlights the high sensitivity of learning rate and momentum across domains, underscoring the need for more robust hyperparameter‑tuning‑resistant methods.
By Priya Kasimbeg (Alice), Ahmed Khaled (Alice), Aahlad Chandrabhatta (Alice), Yifan Wang (Alice), Andy Liu (Alice), Niccol\`o Ajroldi (Alice), David Tweedle (Alice), Xingyu (Alice), Yang, Isaac Patole, Frank Schneider, George E. Dahl
arXiv:2606. 13894v1 Announce Type: cross Abstract: AdamW is a default optimizer for modern deep learning, but its first and second moment states add roughly two parameter-sized buffers to training memory.
By Nadav Benedek, Tomer Koren, Ohad Fried