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Related papers: AMO: Adaptive Muon Orthogonalization

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Muon orthogonalizes the momentum buffer before each update, replacing its singular values with ones via Newton-Schulz iterations. This simple change lets Muon tolerate far larger learning rates and converge faster than other optimizers, but…

Machine Learning · Computer Science 2026-05-14 Tien-Phat Nguyen , Truong Nguyen , Minh-Phuc Truong , Tuc Nguyen , James Bailey , Trung Le

In large-scale optimization, the cheapness and effectiveness of update steps are the most crucial factors for a successful optimizer. Sign-based optimizers like Lion or Signum produce cheap per-step updates, whereas Muon's spectral…

Muon has recently emerged as a strong optimizer for large language model pre-training, orthogonalizing the momentum matrix via Newton--Schulz polar iterations. A natural intuition is that polar iterations, by flattening the singular…

Machine Learning · Computer Science 2026-05-15 Ruijie Zhang , Yequan Zhao , Ziyue Liu , Zhengyang Wang , Yupeng Su , Liyan Tan , Zheng Zhang

The Muon optimizer has demonstrated strong empirical performance in pre-training large language models by performing matrix-level gradient (or momentum) orthogonalization in each layer independently. In this work, we propose TEON, a…

Machine Learning · Computer Science 2026-02-03 Ruijie Zhang , Yequan Zhao , Ziyue Liu , Zhengyang Wang , Dongyang Li , Yupeng Su , Sijia Liu , Zheng Zhang

Accurate and robust heading estimation is crucial for unmanned aerial vehicles (UAVs) when conducting indoor inspection tasks. However, the cluttered nature of indoor environments often introduces severe magnetic disturbances, which can…

Robotics · Computer Science 2025-12-22 Qizhi Guo , Siyuan Yang , Junning Lyu , Jianjun Sun , Defu Lin , Shaoming He

Reinforcement learning (RL) has made significant advancements, achieving superhuman performance in various tasks. However, RL agents often operate under the assumption of environmental stationarity, which poses a great challenge to learning…

Machine Learning · Computer Science 2025-11-18 Guoqing Ma , Yuhan Zhang , Yuming Dai , Guangfu Hao , Yang Chen , Shan Yu

Estimating 3D rotations is a common procedure for 3D computer vision. The accuracy depends heavily on the rotation representation. One form of representation -- rotation matrices -- is popular due to its continuity, especially for pose…

Computer Vision and Pattern Recognition · Computer Science 2023-12-04 Kerui Gu , Zhihao Li , Shiyong Liu , Jianzhuang Liu , Songcen Xu , Youliang Yan , Michael Bi Mi , Kenji Kawaguchi , Angela Yao

Autoregressive next-token training offers a unified formulation for image generation and text understanding, but it also creates strong modality competition that destabilizes optimization and limits large-batch scaling. We show that…

Computer Vision and Pattern Recognition · Computer Science 2026-05-18 Yishun Lu , Wes Armour

Pareto front profiling in multi-objective optimization (MOO), i.e., finding a diverse set of Pareto optimal solutions, is challenging, especially with expensive objectives that require training a neural network. Typically, in MOO for neural…

Machine Learning · Computer Science 2025-02-06 Rhea Sanjay Sukthanker , Arber Zela , Benedikt Staffler , Samuel Dooley , Josif Grabocka , Frank Hutter

Is the standard weight decay in AdamW truly optimal? Although AdamW decouples weight decay from adaptive gradient scaling, a fundamental conflict remains: the Radial Tug-of-War. In deep learning, gradients tend to increase parameter norms…

Machine Learning · Computer Science 2026-02-06 Hao Chen , Jinghui Yuan , Hanmin Zhang

The increasing size of neural networks has led to a growing demand for methods of efficient fine-tuning. Recently, an orthogonal fine-tuning paradigm was introduced that uses orthogonal matrices for adapting the weights of a pretrained…

Machine Learning · Computer Science 2024-06-17 Mikhail Gorbunov , Nikolay Yudin , Vera Soboleva , Aibek Alanov , Alexey Naumov , Maxim Rakhuba

Optimizers are crucial for the efficient training of Large Language Models (LLMs). While AdamW is the de facto standard, recent structure-aware optimizers like Muon have emerged, which regularize gradient updates by operating on entire…

Machine Learning · Computer Science 2025-10-07 Zehua Liu , Han Wu , Xiaojin Fu , Shuqi Liu , Xiongwei Han , Tao Zhong , Mingxuan Yuan

Software configuration tuning is essential for optimizing a given performance objective (e.g., minimizing latency). Yet, due to the software's intrinsically complex configuration landscape and expensive measurement, there has been a rather…

Software Engineering · Computer Science 2024-03-18 Pengzhou Chen , Tao Chen , Miqing Li

Muon has recently shown promising results in LLM training. In this work, we study how to further improve Muon. We argue that Muon's orthogonalized update rule suppresses the emergence of heavy-tailed weight spectra and over-emphasizes the…

Machine Learning · Computer Science 2026-05-25 Tianyu Pang , Yujie Fang , Zihang Liu , Shenyang Deng , Lei Hsiung , Shuhua Yu , Yaoqing Yang

To define a steepest descent method over a neural network, we need to choose a norm for each layer, a way to aggregate these norms across layers, and whether to use normalization. We systematically explore different alternatives for…

Machine Learning · Computer Science 2025-10-14 Michael Crawshaw , Chirag Modi , Mingrui Liu , Robert M. Gower

In this paper, we introduce Saliency-Based Adaptive Masking (SBAM), a novel and cost-effective approach that significantly enhances the pre-training performance of Masked Image Modeling (MIM) approaches by prioritizing token salience. Our…

Computer Vision and Pattern Recognition · Computer Science 2024-04-15 Hyesong Choi , Hyejin Park , Kwang Moo Yi , Sungmin Cha , Dongbo Min

Low-Rank Adaptation (LoRA) is now the dominant method for parameter-efficient fine-tuning of large language models, but achieving a high-quality adapter often requires systematic hyperparameter tuning because LoRA performance is highly…

Machine Learning · Computer Science 2026-04-13 Jingwei Zuo , Xinze Feng , Zien Liu , Kaijian Wang , Fanjiang Ye , Ye Cao , Zhuang Wang , Yuke Wang

The use of momentum in stochastic optimization algorithms has shown empirical success across a range of machine learning tasks. Recently, a new class of stochastic momentum algorithms has emerged within the Linear Minimization Oracle (LMO)…

Optimization and Control · Mathematics 2025-12-16 Sarit Khirirat , Abdurakhmon Sadiev , Yury Demidovich , Peter Richtárik

Weight averaging is a widely used technique for accelerating training and improving the generalization of deep neural networks (DNNs). While existing approaches like stochastic weight averaging (SWA) rely on pre-set weighting schemes, they…

Machine Learning · Computer Science 2025-02-11 Tao Li , Zhehao Huang , Yingwen Wu , Zhengbao He , Qinghua Tao , Xiaolin Huang , Chih-Jen Lin

Significant effort has been placed on the development of toolflows that map Convolutional Neural Network (CNN) models to Field Programmable Gate Arrays (FPGAs) with the aim of automating the production of high performing designs for a…

Hardware Architecture · Computer Science 2022-08-10 Alexander Montgomerie-Corcoran , Zhewen Yu , Christos-Savvas Bouganis