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Related papers: FedMuon: Federated Learning with Bias-corrected LM…

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Despite achieving remarkable performance, Federated Learning (FL) encounters two important problems, i.e., low training efficiency and limited computational resources. In this paper, we propose a new FL framework, i.e., FedDUMAP, with three…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-13 Ji Liu , Juncheng Jia , Hong Zhang , Yuhui Yun , Leye Wang , Yang Zhou , Huaiyu Dai , Dejing Dou

Federated Learning (FL) is an emerging collaborative machine learning framework where multiple clients train the global model without sharing their own datasets. In FL, the model inconsistency caused by the local data heterogeneity across…

Machine Learning · Computer Science 2023-11-13 Xuming An , Li Shen , Han Hu , Yong Luo

The Muon optimizer, based on matrix orthogonalization, has recently shown faster convergence and better computational efficiency over AdamW in LLM pre-training. However, the memory overhead of maintaining high-precision optimizer states…

In this work, we explore combining automatic hyperparameter tuning and optimization for federated learning (FL) in an online, one-shot procedure. We apply a principled approach on a method for adaptive client learning rate, number of local…

Machine Learning · Computer Science 2022-11-07 Andrew K Kan

Orthogonality-based optimizers, such as Muon, have recently shown strong performance across large-scale training and community-driven efficiency challenges. However, these methods rely on a costly gradient orthogonalization step. Even…

Artificial Intelligence · Computer Science 2025-12-05 Thibaut Boissin , Thomas Massena , Franck Mamalet , Mathieu Serrurier

Efficient stochastic optimization typically integrates an update direction that performs well in the deterministic regime with a mechanism adapting to stochastic perturbations. While Adam uses adaptive moment estimates to promote stability,…

Machine Learning · Computer Science 2026-02-23 Minxin Zhang , Yuxuan Liu , Hayden Schaeffer

Federated learning has emerged as a promising approach for training machine learning models on decentralized data sources while preserving data privacy. However, challenges such as communication bottlenecks, heterogeneity of client devices,…

Machine Learning · Computer Science 2023-12-27 Anna Vettoruzzo , Mohamed-Rafik Bouguelia , Thorsteinn Rögnvaldsson

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

Muon updates matrix parameters via the matrix sign of the gradient and has shown strong empirical gains, yet its dynamics and scaling behavior remain unclear in theory. We study Muon in a linear associative memory model with softmax…

Machine Learning · Computer Science 2026-05-26 Binghui Li , Kaifei Wang , Han Zhong , Pinyan Lu , Liwei Wang

Federated learning is a popular paradigm for machine learning. Ideally, federated learning works best when all clients share a similar data distribution. However, it is not always the case in the real world. Therefore, the topic of…

Machine Learning · Computer Science 2022-12-20 Yuchuan Huang , Chen Hu

Federated learning is proposed as an alternative to centralized machine learning since its client-server structure provides better privacy protection and scalability in real-world applications. In many applications, such as smart homes with…

Machine Learning · Computer Science 2022-02-21 Yuchen Zhao , Payam Barnaghi , Hamed Haddadi

Federated learning (FL) has attracted increasing attention in recent years. As a privacy-preserving collaborative learning paradigm, it enables a broader range of applications, especially for computer vision and natural language processing…

Machine Learning · Computer Science 2020-11-24 Yilun Lin , Chaochao Chen , Cen Chen , Li Wang

Modern optimizers, like Muon, impose matrix-wise geometry constraints on their updates. These matrix-wise constraints can be unified under Linear Minimization Oracle (LMO) theory. However, all current methods impose fixed LMO geometries for…

Artificial Intelligence · Computer Science 2026-05-20 Thomas Massena , Corentin Friedrich , Mathieu Serrurier

Large language models (LLMs) have not yet effectively leveraged the vast amounts of edge-device data, and federated learning (FL) offers a promising paradigm to collaboratively fine-tune LLMs without transferring private edge data to the…

Machine Learning · Computer Science 2026-02-02 Arian Raje , Baris Askin , Divyansh Jhunjhunwala , Gauri Joshi

Matrix-based preconditioned optimizers, such as Muon, have recently been shown to be more efficient than scalar-based optimizers for training large-scale neural networks, including large language models (LLMs). Recent benchmark studies of…

Machine Learning · Computer Science 2026-02-02 Yifeng Liu , Angela Yuan , Quanquan Gu

Federated learning (FL) is a widely employed distributed paradigm for collaboratively training machine learning models from multiple clients without sharing local data. In practice, FL encounters challenges in dealing with partial client…

Machine Learning · Computer Science 2024-10-30 Xin Liu , Wei li , Dazhi Zhan , Yu Pan , Xin Ma , Yu Ding , Zhisong Pan

Physics-informed neural networks and neural operators often suffer from severe optimization difficulties caused by ill-conditioned gradients, multi-scale spectral behavior, and stiffness induced by physical constraints. Recently, the Muon…

Machine Learning · Computer Science 2026-02-19 Binghang Lu , Jiahao Zhang , Guang Lin

Federated Learning (FL) enables distributed model training on edge devices while preserving data privacy. However, clients tend to have non-Independent and Identically Distributed (non-IID) data, which often leads to client-drift, and…

Machine Learning · Computer Science 2026-02-23 Fotios Zantalis , Evangelos Zervas , Grigorios Koulouras

Statistical and systematic challenges in collaboratively training machine learning models across distributed networks of mobile devices have been the bottlenecks in the real-world application of federated learning. In this work, we show…

Machine Learning · Computer Science 2019-12-17 Fei Chen , Mi Luo , Zhenhua Dong , Zhenguo Li , Xiuqiang He

Federated learning with heterogeneous clients remains a significant challenge for deep learning, primarily due to client drift arising from inconsistent local updates. Existing federated optimization methods typically address this issue…

Machine Learning · Computer Science 2026-05-08 Junye Du , Zhenghao Li , Yushi Feng , Long Feng
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