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Federated learning (FL) was recently proposed to securely train models with data held over multiple locations (``clients'') under the coordination of a central server. Prolonged training times caused by slow clients may hinder the…

Machine Learning · Computer Science 2025-10-07 Charikleia Iakovidou , Kibaek Kim

Federated learning has emerged in the last decade as a distributed optimization paradigm due to the rapidly increasing number of portable devices able to support the heavy computational needs related to the training of machine learning…

Machine Learning · Computer Science 2024-10-10 Emanuel Buttaci , Giuseppe Carlo Calafiore

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,…

Machine Learning · Statistics 2025-03-12 Shuxiao Chen , Qinqing Zheng , Qi Long , Weijie J. Su

Federated Averaging (FedAvg, also known as Local-SGD) (McMahan et al., 2017) is a classical federated learning algorithm in which clients run multiple local SGD steps before communicating their update to an orchestrating server. We propose…

Machine Learning · Computer Science 2021-08-11 Haoyu Zhao , Zhize Li , Peter Richtárik

Multi-server Federated learning (FL) has been considered as a promising solution to address the limited communication resource problem of single-server FL. We consider a typical multi-server FL architecture, where the coverage areas of…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-18 Zhe Qu , Xingyu Li , Jie Xu , Bo Tang , Zhuo Lu , Yao Liu

Federated learning is a powerful paradigm for large-scale machine learning, but it faces significant challenges due to unreliable network connections, slow communication, and substantial data heterogeneity across clients. FedAvg and…

Machine Learning · Computer Science 2024-03-06 Ziheng Cheng , Xinmeng Huang , Pengfei Wu , Kun Yuan

Federated Learning (FL) is a distributed learning paradigm to train a global model across multiple devices without collecting local data. In FL, a server typically selects a subset of clients for each training round to optimize resource…

Machine Learning · Computer Science 2024-09-04 Dun Zeng , Zenglin Xu , Yu Pan , Xu Luo , Qifan Wang , Xiaoying Tang

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…

Machine Learning · Computer Science 2025-05-19 Shokichi Takakura , Seng Pei Liew , Satoshi Hasegawa

Random Reshuffling (RR) is an algorithm for minimizing finite-sum functions that utilizes iterative gradient descent steps in conjunction with data reshuffling. Often contrasted with its sibling Stochastic Gradient Descent (SGD), RR is…

Optimization and Control · Mathematics 2021-04-06 Konstantin Mishchenko , Ahmed Khaled , Peter Richtárik

Federated learning enables a population of clients to collaboratively train machine learning models without exchanging their raw data, but standard algorithms such as FedAvg suffer from slow convergence and high communication and memory…

Machine Learning · Computer Science 2026-04-30 Yutong He , Zhengyang Huang , Jiahe Geng

Federated learning (FL) is a distributed machine learning architecture that leverages a large number of workers to jointly learn a model with decentralized data. FL has received increasing attention in recent years thanks to its data…

Machine Learning · Computer Science 2021-05-05 Haibo Yang , Minghong Fang , Jia Liu

From adversarial robustness to multi-agent learning, many machine learning tasks can be cast as finite-sum min-max optimization or, more generally, as variational inequality problems (VIPs). Owing to their simplicity and scalability,…

Optimization and Control · Mathematics 2026-04-14 Konstantinos Emmanouilidis , Emmanouil-Vasileios Vlatakis-Gkaragkounis , Rene Vidal

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…

The paper studies decentralized optimization over networks, where agents minimize a composite objective consisting of the sum of smooth convex functions--the agents' losses--and an additional nonsmooth convex extended value function. We…

Optimization and Control · Mathematics 2025-08-05 Xiaokai Chen , Ilya Kuruzov , Gesualdo Scutari , Alexander Gasnikov

Federated learning (FL) algorithms usually sample a fraction of clients in each round (partial participation) when the number of participants is large and the server's communication bandwidth is limited. Recent works on the convergence…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-23 Bing Luo , Wenli Xiao , Shiqiang Wang , Jianwei Huang , Leandros Tassiulas

The statistical heterogeneity of the non-independent and identically distributed (non-IID) data in local clients significantly limits the performance of federated learning. Previous attempts like FedProx, SCAFFOLD, MOON, FedNova and FedDyn…

Machine Learning · Computer Science 2022-12-15 Ziqing Fan , Yanfeng Wang , Jiangchao Yao , Lingjuan Lyu , Ya Zhang , Qi Tian

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

Random Reshuffling (RR), which is a variant of Stochastic Gradient Descent (SGD) employing sampling without replacement, is an immensely popular method for training supervised machine learning models via empirical risk minimization. Due to…

Machine Learning · Computer Science 2022-05-11 Grigory Malinovsky , Peter Richtárik

Compared with full client participation, partial client participation is a more practical scenario in federated learning, but it may amplify some challenges in federated learning, such as data heterogeneity. The lack of inactive clients'…

Machine Learning · Computer Science 2023-05-30 Feijie Wu , Song Guo , Zhihao Qu , Shiqi He , Ziming Liu , Jing Gao

We propose a general framework for distributed stochastic optimization under delayed gradient models. In this setting, $n$ local agents leverage their own data and computation to assist a central server in minimizing a global objective…

Optimization and Control · Mathematics 2026-03-04 Xinran Zheng , Tara Javidi , Behrouz Touri