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The Muon optimizer has emerged as a compelling alternative to Adam for training large language models, achieving remarkable computational savings through gradient orthogonalization. However, Muon's optimizer state is more sensitive to…

机器学习 · 计算机科学 2026-05-13 Yupeng Su , Ruijie Zhang , Ziyue Liu , Yequan Zhao , Zheng Zhang

The federated learning (FL) framework enables edge clients to collaboratively learn a shared inference model while keeping privacy of training data on clients. Recently, many heuristics efforts have been made to generalize centralized…

机器学习 · 计算机科学 2022-07-18 Jiayin Jin , Jiaxiang Ren , Yang Zhou , Lingjuan Lyu , Ji Liu , Dejing Dou

Muon is a recently proposed optimizer that enforces orthogonality in parameter updates by projecting gradients onto the Stiefel manifold, leading to stable and efficient training in large-scale deep neural networks. Meanwhile, the…

机器学习 · 计算机科学 2026-03-18 Hideaki Iiduka

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. However, its practical efficiency is limited by the…

机器学习 · 计算机科学 2026-04-14 Ziyue Liu , Ruijie Zhang , Zhengyang Wang , Yequan Zhao , Yupeng Su , Zi Yang , Zheng Zhang

Federated Learning (FL) is a recent development in distributed machine learning that collaboratively trains models without training data leaving client devices, preserving data privacy. In real-world FL, the training set is distributed over…

机器学习 · 计算机科学 2022-10-07 Jed Mills , Jia Hu , Geyong Min , Rui Jin , Siwei Zheng , Jin Wang

Composite federated learning offers a general framework for solving machine learning problems with additional regularization terms. However, existing methods often face significant limitations: many require clients to perform…

机器学习 · 计算机科学 2025-12-12 Yuan Zhou , Jiachen Zhong , Xinli Shi , Guanghui Wen , Xinghuo Yu

Federated learning (FL) enables collaboratively training deep learning models on decentralized data. However, there are three types of heterogeneities in FL setting bringing about distinctive challenges to the canonical federated learning…

机器学习 · 计算机科学 2020-09-18 Tao Shen , Jie Zhang , Xinkang Jia , Fengda Zhang , Gang Huang , Pan Zhou , Kun Kuang , Fei Wu , Chao Wu

Federated learning is a distributed optimization paradigm that allows training machine learning models across decentralized devices while keeping the data localized. The standard method, FedAvg, suffers from client drift which can hamper…

机器学习 · 计算机科学 2024-04-15 Xiaowen Jiang , Anton Rodomanov , Sebastian U. Stich

In this work, we study optimization methods that leverage the linear minimization oracle (LMO) over a norm-ball. We propose a new stochastic family of algorithms that uses the LMO to adapt to the geometry of the problem and, perhaps…

机器学习 · 计算机科学 2025-06-09 Thomas Pethick , Wanyun Xie , Kimon Antonakopoulos , Zhenyu Zhu , Antonio Silveti-Falls , Volkan Cevher

Large language models (LLMs) show amazing performance on many domain-specific tasks after fine-tuning with some appropriate data. However, many domain-specific data are privately distributed across multiple owners. Thus, this dilemma raises…

机器学习 · 计算机科学 2024-06-26 Feijie Wu , Zitao Li , Yaliang Li , Bolin Ding , Jing Gao

This paper proposes a novel federated algorithm that leverages momentum-based variance reduction with adaptive learning to address non-convex settings across heterogeneous data. We intend to minimize communication and computation overhead,…

机器学习 · 计算机科学 2024-12-17 Dipanwita Thakur , Antonella Guzzo , Giancarlo Fortino , Sajal K. Das

Federated learning aims to jointly learn statistical models over massively distributed remote devices. In this work, we propose FedDANE, an optimization method that we adapt from DANE, a method for classical distributed optimization, to…

机器学习 · 计算机科学 2020-01-08 Tian Li , Anit Kumar Sahu , Manzil Zaheer , Maziar Sanjabi , Ameet Talwalkar , Virginia Smith

We propose Federated Preconditioned Mixing (FedPM), a novel Federated Learning (FL) method that leverages second-order optimization. Prior methods--such as LocalNewton, LTDA, and FedSophia--have incorporated second-order optimization in FL…

机器学习 · 计算机科学 2025-11-13 Hiro Ishii , Kenta Niwa , Hiroshi Sawada , Akinori Fujino , Noboru Harada , Rio Yokota

Distributed optimization is fundamental to modern machine learning applications like federated learning, but existing methods often struggle with ill-conditioned problems and face stability-versus-speed tradeoffs. We introduce fractional…

机器学习 · 计算机科学 2024-12-04 Andrei Lixandru , Marcel van Gerven , Sergio Pequito

In recent years, multi-objective optimization (MOO) emerges as a foundational problem underpinning many multi-agent multi-task learning applications. However, existing algorithms in MOO literature remain limited to centralized learning…

机器学习 · 计算机科学 2024-01-09 Haibo Yang , Zhuqing Liu , Jia Liu , Chaosheng Dong , Michinari Momma

Muon has emerged as an efficient alternative to Adam for pretraining, yet remains underused for fine-tuning. A key obstacle is that most open models are pretrained with Adam, and naively switching to Muon for fine-tuning leads to degraded…

机器学习 · 计算机科学 2026-05-12 Xingyu Qu , Peigeng Huang , Samuel Horvath

Adaptive optimization has achieved notable success for distributed learning while extending adaptive optimizer to federated Learning (FL) suffers from severe inefficiency, including (i) rugged convergence due to inaccurate gradient…

机器学习 · 计算机科学 2023-08-02 Yan Sun , Li Shen , Hao Sun , Liang Ding , Dacheng Tao

Federated bilevel optimization has received increasing attention in various emerging machine learning and communication applications. Recently, several Hessian-vector-based algorithms have been proposed to solve the federated bilevel…

机器学习 · 计算机科学 2023-02-13 Minhui Huang , Dewei Zhang , Kaiyi Ji

Federated learning is a new distributed machine learning framework, where a bunch of heterogeneous clients collaboratively train a model without sharing training data. In this work, we consider a practical and ubiquitous issue when…

机器学习 · 统计学 2023-09-06 Yikai Yan , Chaoyue Niu , Yucheng Ding , Zhenzhe Zheng , Fan Wu , Guihai Chen , Shaojie Tang , Zhihua Wu

Federated learning is a distributed machine learning paradigm, which aims to train a model using the local data of many distributed clients. A key challenge in federated learning is that the data samples across the clients may not be…

机器学习 · 计算机科学 2022-06-27 Farzan Farnia , Amirhossein Reisizadeh , Ramtin Pedarsani , Ali Jadbabaie