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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…

Machine Learning · Computer Science 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…

Machine Learning · Computer Science 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…

Machine Learning · Computer Science 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…

Machine Learning · Computer Science 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…

Machine Learning · Computer Science 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…

Machine Learning · Computer Science 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…

Machine Learning · Computer Science 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…

Machine Learning · Computer Science 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…

Machine Learning · Computer Science 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…

Machine Learning · Computer Science 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,…

Machine Learning · Computer Science 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…

Machine Learning · Computer Science 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…

Machine Learning · Computer Science 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…

Machine Learning · Computer Science 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…

Machine Learning · Computer Science 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…

Machine Learning · Computer Science 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…

Machine Learning · Computer Science 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…

Machine Learning · Computer Science 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…

Machine Learning · Statistics 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…

Machine Learning · Computer Science 2022-06-27 Farzan Farnia , Amirhossein Reisizadeh , Ramtin Pedarsani , Ali Jadbabaie