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Motivated by federated learning, we consider the hub-and-spoke model of distributed optimization in which a central authority coordinates the computation of a solution among many agents while limiting communication. We first study some past…

Machine Learning · Computer Science 2020-05-12 Reese Pathak , Martin J. Wainwright

In this paper, we present a novel analysis of \FedAvg with constant step size, relying on the Markov property of the underlying process. We demonstrate that the global iterates of the algorithm converge to a stationary distribution and…

Machine Learning · Statistics 2025-12-22 Paul Mangold , Alain Durmus , Aymeric Dieuleveut , Sergey Samsonov , Eric Moulines

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 learning (FL) is an emerging distributed training paradigm that aims to learn a common global model without exchanging or transferring the data that are stored locally at different clients. The Federated Averaging (FedAvg)-based…

Machine Learning · Computer Science 2024-02-20 Xiaolu Wang , Zijian Li , Shi Jin , Jun Zhang

We propose a federated averaging Langevin algorithm (FA-LD) for uncertainty quantification and mean predictions with distributed clients. In particular, we generalize beyond normal posterior distributions and consider a general class of…

Machine Learning · Statistics 2023-10-06 Wei Deng , Qian Zhang , Yi-An Ma , Zhao Song , Guang Lin

Federated Learning (FL) confronts a significant challenge known as data heterogeneity, which impairs model performance and convergence. Existing methods have made notable progress in addressing this issue. However, improving performance in…

Machine Learning · Computer Science 2025-10-24 Zhiqin Yang , Yonggang Zhang , Chenxin Li , Yiu-ming Cheung , Bo Han , Yixuan Yuan

Data heterogeneity across clients is one of the key challenges in Federated Learning (FL), which may slow down the global model convergence and even weaken global model performance. Most existing approaches tackle the heterogeneity by…

Machine Learning · Computer Science 2023-07-18 Jun Nie , Danyang Xiao , Lei Yang , Weigang Wu

Federated Learning (FL) endeavors to harness decentralized data while preserving privacy, facing challenges of performance, scalability, and collaboration. Asynchronous Federated Learning (AFL) methods have emerged as promising alternatives…

Machine Learning · Computer Science 2024-06-06 Jeffrey Ma , Alan Tu , Yiling Chen , Vijay Janapa Reddi

This paper studies the problem of model training under Federated Learning when clients exhibit cluster structure. We contextualize this problem in mixed regression, where each client has limited local data generated from one of $k$ unknown…

Machine Learning · Computer Science 2022-06-16 Lili Su , Jiaming Xu , Pengkun Yang

Local Stochastic Gradient Descent (SGD) with periodic model averaging (FedAvg) is a foundational algorithm in Federated Learning. The algorithm independently runs SGD on multiple workers and periodically averages the model across all the…

Machine Learning · Computer Science 2022-01-12 Sunwoo Lee , Anit Kumar Sahu , Chaoyang He , Salman Avestimehr

Motivated by collaborative reinforcement learning (RL) and optimization with time-correlated data, we study a generic federated stochastic approximation problem involving $M$ agents, where each agent is characterized by an agent-specific…

Machine Learning · Computer Science 2025-04-17 Feng Zhu , Aritra Mitra , Robert W. Heath

This article explores distributed convex optimization with globally-coupled constraints, where the objective function is a general nonsmooth convex function, the constraints include nonlinear inequalities and affine equalities, and the…

Optimization and Control · Mathematics 2025-03-14 Zixuan Liu , Xuyang Wu , Dandan Wang , Jie Lu

We study a hierarchical federated learning (FL) problem, where clients cooperatively seek to select among multiple optimal solutions of a primary distributed learning problem, a solution that minimizes a secondary loss function. This…

Optimization and Control · Mathematics 2026-05-26 Mohammadjavad Ebrahimi , Yuyang Qiu , Shisheng Cui , Farzad Yousefian

Federated learning is a distributed machine learning paradigm in which a large number of clients coordinate with a central server to learn a model without sharing their own training data. Standard federated optimization methods such as…

Federated learning has been identified as an efficient decentralized training paradigm for scaling the machine learning model training on a large number of devices while guaranteeing the data privacy of the trainers. FedAvg has become a…

Machine Learning · Computer Science 2024-04-23 Haotian Xu , Zhaorui Zhang , Sheng Di , Benben Liu , Khalid Ayed Alharthi , Jiannong Cao

We consider federated learning (FL), where the training data is distributed across a large number of clients. The standard optimization method in this setting is Federated Averaging (FedAvg), which performs multiple local first-order…

Machine Learning · Computer Science 2021-09-07 Sebastian Bischoff , Stephan Günnemann , Martin Jaggi , Sebastian U. Stich

Federated Composite Optimization (FCO) has emerged as a promising framework for training models with structural constraints (e.g., sparsity) in distributed edge networks. However, simultaneously achieving communication efficiency and…

Optimization and Control · Mathematics 2026-03-10 Pu Qiu , Chen Ouyang , Yongyang Xiong , Keyou You , Wanquan Liu , Yang Shi

Since reinforcement learning algorithms are notoriously data-intensive, the task of sampling observations from the environment is usually split across multiple agents. However, transferring these observations from the agents to a central…

Machine Learning · Computer Science 2024-10-22 Sajad Khodadadian , Pranay Sharma , Gauri Joshi , Siva Theja Maguluri

In federated learning (FL), data heterogeneity is the main reason that existing theoretical analyses are pessimistic about the convergence rate. In particular, for many FL algorithms, the convergence rate grows dramatically when the number…

Machine Learning · Computer Science 2024-07-23 Jiayi Wang , Shiqiang Wang , Rong-Rong Chen , Mingyue Ji

Federated Learning (FL) provides decentralised model training, which effectively tackles problems such as distributed data and privacy preservation. However, the generalisation of global models frequently faces challenges from data…

Machine Learning · Computer Science 2025-09-05 Ozgu Goksu , Nicolas Pugeault
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