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相关论文: FedMuon: Federated Learning with Bias-corrected LM…

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The recently introduced optimizer, Muon, has gained increasing attention due to its superior performance across a wide range of applications. However, its effectiveness in federated learning remains unexplored. To address this gap, this…

机器学习 · 计算机科学 2025-10-07 Xinwen Zhang , Hongchang Gao

The core bottleneck of Federated Learning (FL) lies in the communication rounds. That is, how to achieve more effective local updates is crucial for reducing communication rounds. Existing FL methods still primarily use element-wise local…

机器学习 · 计算机科学 2025-11-03 Junkang Liu , Fanhua Shang , Junchao Zhou , Hongying Liu , Yuanyuan Liu , Jin Liu

The choice of optimizer significantly impacts the training efficiency and computational costs of large language models (LLMs). Recently, the Muon optimizer has demonstrated promising results by orthogonalizing parameter updates, improving…

机器学习 · 计算机科学 2025-10-08 Zichong Li , Liming Liu , Chen Liang , Weizhu Chen , Tuo Zhao

In Federated Learning (FL), a framework to train machine learning models across distributed data, well-known algorithms like FedAvg tend to have slow convergence rates, resulting in high communication costs during training. To address this…

机器学习 · 计算机科学 2024-02-16 Zhiwei Tang , Tsung-Hui Chang

Recent empirical research has demonstrated that deep learning optimizers based on the linear minimization oracle (LMO) over specifically chosen Non-Euclidean norm balls, such as Muon and Scion, outperform Adam-type methods in the training…

最优化与控制 · 数学 2025-12-19 Xun Qian , Hussein Rammal , Dmitry Kovalev , Peter Richtárik

Recent developments have shown that Muon-type optimizers based on linear minimization oracles (LMOs) over non-Euclidean norm balls have the potential to get superior practical performance than Adam-type methods in the training of large…

机器学习 · 计算机科学 2026-04-14 Xun Qian , Alexander Gaponov , Grigory Malinovsky , Peter Richtárik

Federated learning is a distributed learning framework where clients collaboratively train a global model without sharing their raw data. FedAvg is a popular algorithm for federated learning, but it often suffers from slow convergence due…

机器学习 · 计算机科学 2025-05-19 Shokichi Takakura , Seng Pei Liew , Satoshi Hasegawa

Recently, the Muon optimizer based on matrix orthogonalization has demonstrated strong results in training small-scale language models, but the scalability to larger models has not been proven. We identify two crucial techniques for scaling…

Large models recently are widely applied in artificial intelligence, so efficient training of large models has received widespread attention. More recently, a useful Muon optimizer is specifically designed for matrix-structured parameters…

机器学习 · 计算机科学 2025-09-22 Feihu Huang , Yuning Luo , Songcan Chen

For a long period of time, Adam has served as the ubiquitous default choice for training deep neural networks. Recently, many new optimizers have been introduced, out of which Muon has perhaps gained the highest popularity due to its…

机器学习 · 计算机科学 2026-03-03 Sara Dragutinović , Rajesh Ranganath

In this note, we inspect the convergence of a new optimizer for pretraining LLMs, namely the Muon optimizer. Such an optimizer is closely related to a specialized steepest descent method where the update direction is the minimizer of the…

最优化与控制 · 数学 2025-06-03 Jiaxiang Li , Mingyi Hong

We study a federated version of multi-objective optimization (MOO), where a single model is trained to optimize multiple objective functions. MOO has been extensively studied in the centralized setting but is less explored in federated or…

机器学习 · 计算机科学 2025-04-22 Baris Askin , Pranay Sharma , Gauri Joshi , Carlee Joe-Wong

Federated learning (FL) is a widely adopted paradigm for privacy-preserving model training, but FedAvg optimise for the majority while under-serving minority clients. Existing methods such as federated multi-objective learning (FMOL)…

机器学习 · 计算机科学 2025-08-26 Jiansheng Rao , Jiayi Li , Zhizhi Gong , Soummya Kar , Haoxuan Li

Federated learning (FL) enables on-device training over distributed networks consisting of a massive amount of modern smart devices, such as smartphones and IoT (Internet of Things) devices. However, the leading optimization algorithm in…

机器学习 · 计算机科学 2019-09-04 Xin Yao , Tianchi Huang , Chenglei Wu , Rui-Xiao Zhang , Lifeng Sun

Federated learning has emerged as a promising, massively distributed way to train a joint deep model over large amounts of edge devices while keeping private user data strictly on device. In this work, motivated from ensuring fairness among…

机器学习 · 计算机科学 2023-01-25 Zeou Hu , Kiarash Shaloudegi , Guojun Zhang , Yaoliang Yu

Federated Learning (FL), a distributed learning paradigm that scales on-device learning collaboratively, has emerged as a promising approach for decentralized AI applications. Local optimization methods such as Federated Averaging (FedAvg)…

机器学习 · 计算机科学 2024-01-25 Honglin Yuan

Muon has recently emerged as a strong alternative to AdamW for training neural networks, with encouraging large-scale pretraining results and growing evidence that matrix-structured updates can be faster in practice. Yet Muon, and more…

机器学习 · 计算机科学 2026-05-19 Abdurakhmon Sadiev , Artavazd Maranjyan , Ivan Ilin , Peter Richtárik

The Muon optimizer is consistently faster than Adam in training Large Language Models (LLMs), yet the mechanism underlying its success remains unclear. This paper demystifies this mechanism through the lens of associative memory. By…

We propose AdaMuon, a novel optimizer that combines element-wise adaptivity with orthogonal updates for large-scale neural network training. AdaMuon incorporates two tightly coupled mechanisms: (1) an element-wise second momentum estimator…

机器学习 · 计算机科学 2025-12-25 Chongjie Si , Debing Zhang , Wei Shen

A widely recognized difficulty in federated learning arises from the statistical heterogeneity among clients: local datasets often originate from distinct yet not entirely unrelated probability distributions, and personalization is,…

机器学习 · 统计学 2025-03-12 Shuxiao Chen , Qinqing Zheng , Qi Long , Weijie J. Su
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