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Minimax optimization has seen a surge in interest with the advent of modern applications such as GANs, and it is inherently more challenging than simple minimization. The difficulty is exacerbated by the training data residing at multiple…

Machine Learning · Computer Science 2023-02-10 Pranay Sharma , Rohan Panda , Gauri Joshi

Federated learning (FL) commonly involves clients with diverse communication and computational capabilities. Such heterogeneity can significantly distort the optimization dynamics and lead to objective inconsistency, where the global model…

Machine Learning · Computer Science 2026-02-24 Shudi Weng , Chao Ren , Ming Xiao , Mikael Skoglund

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 learning paradigm with two key challenges that differentiate it from traditional distributed optimization: (1) significant variability in terms of the systems characteristics on each device in the network…

Machine Learning · Computer Science 2020-04-23 Tian Li , Anit Kumar Sahu , Manzil Zaheer , Maziar Sanjabi , Ameet Talwalkar , Virginia Smith

Federated optimization is a constrained form of distributed optimization that enables training a global model without directly sharing client data. Although existing algorithms can guarantee convergence in theory and often achieve stable…

Machine Learning · Computer Science 2025-11-04 Zhongxiang Lei , Qi Yang , Ping Qiu , Gang Zhang , Yuanchi Ma , Jinyan Liu

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

Distributed stochastic optimization has drawn great attention recently due to its effectiveness in solving large-scale machine learning problems. Though numerous algorithms have been proposed and successfully applied to general practical…

Optimization and Control · Mathematics 2023-12-15 Kun Huang , Xiao Li , Shi Pu

Federated Learning (FL) is a promising decentralized learning framework and has great potentials in privacy preservation and in lowering the computation load at the cloud. Recent work showed that FedAvg and FedProx - the two widely-adopted…

Machine Learning · Statistics 2022-02-16 Lili Su , Jiaming Xu , Pengkun Yang

We propose a novel framework to study asynchronous federated learning optimization with delays in gradient updates. Our theoretical framework extends the standard FedAvg aggregation scheme by introducing stochastic aggregation weights to…

Machine Learning · Computer Science 2022-06-22 Yann Fraboni , Richard Vidal , Laetitia Kameni , Marco Lorenzi

Federated Learning (FL) can be coordinated under the orchestration of a central server to collaboratively build a privacy-preserving model without the need for data exchange. However, participant data heterogeneity leads to local optima…

Machine Learning · Computer Science 2024-08-30 Boyuan Li , Zihao Peng , Yafei Li , Mingliang Xu , Shengbo Chen , Baofeng Ji , Cong Shen

For federated learning (FL) algorithms such as FedSAM, their generalization capability is crucial for real-word applications. In this paper, we revisit the generalization problem in FL and investigate the impact of data heterogeneity on FL…

Machine Learning · Computer Science 2026-04-21 Liu junkang , Yuanyuan Liu , Fanhua Shang , Hongying Liu , Jin Liu , Wei Feng

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

Federated learning is typically approached as an optimization problem, where the goal is to minimize a global loss function by distributing computation across client devices that possess local data and specify different parts of the global…

Machine Learning · Computer Science 2021-02-02 Maruan Al-Shedivat , Jennifer Gillenwater , Eric Xing , Afshin Rostamizadeh

Federated averaging (FedAvg) is the most fundamental algorithm in Federated learning (FL). Previous theoretical results assert that FedAvg convergence and generalization degenerate under heterogeneous clients. However, recent empirical…

Machine Learning · Computer Science 2024-12-16 Dun Zeng , Zenglin Xu , Shiyu Liu , Yu Pan , Qifan Wang , Xiaoying Tang

The Federated Averaging (FedAvg) algorithm, which consists of alternating between a few local stochastic gradient updates at client nodes, followed by a model averaging update at the server, is perhaps the most commonly used method in…

Machine Learning · Computer Science 2022-05-30 Liam Collins , Hamed Hassani , Aryan Mokhtari , Sanjay Shakkottai

By letting local clients perform multiple local updates before communicating with a parameter server, modern federated learning algorithms such as FedAvg tackle the communication bottleneck problem in distributed learning and have found…

Machine Learning · Computer Science 2025-03-21 Jie Liu , Yongqiang Wang

We consider a multi-agent consensus optimization problem over a server-client (federated) network, where all clients are connected to a central server. Current distributed algorithms fail to capture the heterogeneity in clients' local…

Optimization and Control · Mathematics 2023-08-02 Xiaochun Niu , Ermin Wei

Existing theory predicts that data heterogeneity will degrade the performance of the Federated Averaging (FedAvg) algorithm in federated learning. However, in practice, the simple FedAvg algorithm converges very well. This paper explains…

Machine Learning · Computer Science 2022-06-13 Jianyu Wang , Rudrajit Das , Gauri Joshi , Satyen Kale , Zheng Xu , Tong Zhang

Federated Learning (FL) is a collaborative method for training models while preserving data privacy in decentralized settings. However, FL encounters challenges related to data heterogeneity, which can result in performance degradation. In…

Machine Learning · Computer Science 2023-11-23 Seongyoon Kim , Gihun Lee , Jaehoon Oh , Se-Young Yun

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
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