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In federated learning, communication cost is often a critical bottleneck to scale up distributed optimization algorithms to collaboratively learn a model from millions of devices with potentially unreliable or limited communication and…

Machine Learning · Computer Science 2020-11-24 Farzin Haddadpour , Mohammad Mahdi Kamani , Aryan Mokhtari , Mehrdad Mahdavi

Distributed and federated learning algorithms and techniques associated primarily with minimization problems. However, with the increase of minimax optimization and variational inequality problems in machine learning, the necessity of…

Optimization and Control · Mathematics 2024-06-04 Siqi Zhang , Sayantan Choudhury , Sebastian U Stich , Nicolas Loizou

In this work and its accompanying Part II [1], we develop an accelerated algorithmic framework, DAMA (Decentralized Accelerated Minimax Approach), for nonconvex Polyak-Lojasiewicz minimax optimization over decentralized multi-agent…

Optimization and Control · Mathematics 2025-12-17 Haoyuan Cai , Sulaiman A. Alghunaim , Ali H. Sayed

Federated Averaging (FedAvg) has emerged as the algorithm of choice for federated learning due to its simplicity and low communication cost. However, in spite of recent research efforts, its performance is not fully understood. We obtain…

Federated learning (FL) is a distributed learning paradigm that allows several clients to learn a global model without sharing their private data. In this paper, we generalize a primal dual fixed point (PDFP) \cite{PDFP} method to federated…

Optimization and Control · Mathematics 2023-05-24 Ya-Nan Zhu , Jingwei Liang , Xiaoqun Zhang

Accelerated gradient-based methods are being extensively used for solving non-convex machine learning problems, especially when the data points are abundant or the available data is distributed across several agents. Two of the prominent…

Machine Learning · Computer Science 2021-10-04 Kushal Chakrabarti , Nikhil Chopra

To address the communication burden issues associated with federated learning (FL), decentralized federated learning (DFL) discards the central server and establishes a decentralized communication network, where each client communicates…

Machine Learning · Computer Science 2023-08-17 Qinglun Li , Li Shen , Guanghao Li , Quanjun Yin , Dacheng Tao

Federated Learning (FL) is a promising framework for performing privacy-preserving, distributed learning with a set of clients. However, the data distribution among clients often exhibits non-IID, i.e., distribution shift, which makes…

Machine Learning · Computer Science 2022-06-07 Zhe Qu , Xingyu Li , Rui Duan , Yao Liu , Bo Tang , Zhuo Lu

Minimax problems arise in a wide range of important applications including robust adversarial learning and Generative Adversarial Network (GAN) training. Recently, algorithms for minimax problems in the Federated Learning (FL) paradigm have…

Machine Learning · Computer Science 2023-06-30 Jiahao Xie , Chao Zhang , Zebang Shen , Weijie Liu , Hui Qian

When scaling distributed training, the communication overhead is often the bottleneck. In this paper, we propose a novel SGD variant with reduced communication and adaptive learning rates. We prove the convergence of the proposed algorithm…

Machine Learning · Computer Science 2020-12-08 Cong Xie , Oluwasanmi Koyejo , Indranil Gupta , Haibin Lin

Although stochastic gradient descent (SGD) method and its variants (e.g., stochastic momentum methods, AdaGrad) are the choice of algorithms for solving non-convex problems (especially deep learning), there still remain big gaps between the…

Optimization and Control · Mathematics 2019-03-07 Zaiyi Chen , Zhuoning Yuan , Jinfeng Yi , Bowen Zhou , Enhong Chen , Tianbao Yang

Federated Learning (FL) is a distributed learning paradigm that enables a large number of resource-limited nodes to collaboratively train a model without data sharing. The non-independent-and-identically-distributed (non-i.i.d.) data…

Machine Learning · Computer Science 2022-02-04 Hongda Wu , Ping Wang

We propose an Adagrad-like algorithm for multi-objective unconstrained optimization that relies on the computation of a common descent direction only. Unlike classical local algorithms for multi-objective optimization, our approach does not…

Optimization and Control · Mathematics 2026-02-06 Marianna De Santis , Gabriele Eichfelder , Margherita Porcelli

Federated Learning (FL) is a decentralized machine learning architecture, which leverages a large number of remote devices to learn a joint model with distributed training data. However, the system-heterogeneity is one major challenge in a…

Machine Learning · Computer Science 2024-05-14 Xingyu Li , Zhe Qu , Bo Tang , Zhuo Lu

Federated learning is an emerging distributed machine learning framework aiming at protecting data privacy. Data heterogeneity is one of the core challenges in federated learning, which could severely degrade the convergence rate and…

Machine Learning · Statistics 2025-11-27 Feifei Wang , Huiyun Tang , Yang Li

We study the federated optimization problem from a dual perspective and propose a new algorithm termed federated dual coordinate descent (FedDCD), which is based on a type of coordinate descent method developed by Necora et al.[Journal of…

Machine Learning · Computer Science 2022-02-07 Zhenan Fan , Huang Fang , Michael P. Friedlander

One of the crucial issues in federated learning is how to develop efficient optimization algorithms. Most of the current ones require full device participation and/or impose strong assumptions for convergence. Different from the widely-used…

Optimization and Control · Mathematics 2023-09-26 Shenglong Zhou , Geoffrey Ye Li

Federated learning enables collaborative model training across distributed clients while preserving data privacy. However, in practical deployments, device heterogeneity, non-independent, and identically distributed (Non-IID) data often…

Artificial Intelligence · Computer Science 2026-02-20 Jin Wang , Hui Ma , Fei Xing , Ming Yan

Federated learning (FL) has emerged as a popular technique for distributing machine learning across wireless edge devices. We examine FL under two salient properties of contemporary networks: device-server communication delays and device…

Networking and Internet Architecture · Computer Science 2022-02-08 David Nickel , Frank Po-Chen Lin , Seyyedali Hosseinalipour , Nicolo Michelusi , Christopher G. Brinton

We consider a distributed learning problem, where agents minimize a global objective function by exchanging information over a network. Our approach has two distinct features: (i) It substantially reduces communication by triggering…

Machine Learning · Computer Science 2025-11-20 Guner Dilsad Er , Sebastian Trimpe , Michael Muehlebach