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As a prevalent distributed learning paradigm, Federated Learning (FL) trains a global model on a massive amount of devices with infrequent communication. This paper investigates a class of composite optimization and statistical recovery…

Machine Learning · Computer Science 2022-10-04 Yajie Bao , Michael Crawshaw , Shan Luo , Mingrui Liu

In contrast to training traditional machine learning (ML) models in data centers, federated learning (FL) trains ML models over local datasets contained on resource-constrained heterogeneous edge devices. Existing FL algorithms aim to learn…

Machine Learning · Computer Science 2022-09-13 El Houcine Bergou , Konstantin Burlachenko , Aritra Dutta , Peter Richtárik

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

Asynchronous computation and gradient compression have emerged as two key techniques for achieving scalability in distributed optimization for large-scale machine learning. This paper presents a unified analysis framework for distributed…

Optimization and Control · Mathematics 2018-11-30 Sarit Khirirat , Hamid Reza Feyzmahdavian , Mikael Johansson

Communication overhead severely hinders the scalability of distributed machine learning systems. Recently, there has been a growing interest in using gradient compression to reduce the communication overhead of the distributed training.…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-19 Yuchen Zhong , Cong Xie , Shuai Zheng , Haibin Lin

In recent years, distributed optimization is proven to be an effective approach to accelerate training of large scale machine learning models such as deep neural networks. With the increasing computation power of GPUs, the bottleneck of…

Machine Learning · Computer Science 2021-09-14 Xiangyi Chen , Xiaoyun Li , Ping Li

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

We propose an innovative algorithm for non-convex composite federated learning that decouples the proximal operator evaluation and the communication between server and clients. Moreover, each client uses local updates to communicate less…

Machine Learning · Computer Science 2025-02-07 Jiaojiao Zhang , Jiang Hu , Mikael Johansson

We propose a novel algorithm for solving the composite Federated Learning (FL) problem. This algorithm manages non-smooth regularization by strategically decoupling the proximal operator and communication, and addresses client drift without…

Machine Learning · Computer Science 2023-09-06 Jiaojiao Zhang , Jiang Hu , Mikael Johansson

Distributed learning algorithms, such as the ones employed in Federated Learning (FL), require communication compression to reduce the cost of client uploads. The compression methods used in practice are often biased, making error feedback…

Machine Learning · Computer Science 2025-09-12 Tomas Ortega , Chun-Yin Huang , Xiaoxiao Li , Hamid Jafarkhani

We study the decentralized consensus and stochastic optimization problems with compressed communications over static directed graphs. We propose an iterative gradient-based algorithm that compresses messages according to a desired…

Optimization and Control · Mathematics 2022-04-19 Mohammad Taha Toghani , César A. Uribe

In distributed optimization, a large number of machines alternate between local computations and communication with a coordinating server. Communication, which can be slow and costly, is the main bottleneck in this setting. To reduce this…

Machine Learning · Computer Science 2026-04-03 Laurent Condat , Ivan Agarský , Peter Richtárik

Federated learning, where algorithms are trained across multiple decentralized devices without sharing local data, is increasingly popular in distributed machine learning practice. Typically, a graph structure $G$ exists behind local…

Machine Learning · Statistics 2022-09-20 Huiyuan Wang , Xuyang Zhao , Wei Lin

Federated learning is a promising framework to mitigate data privacy and computation concerns. However, the communication cost between the server and clients has become the major bottleneck for successful deployment. Despite notable…

Machine Learning · Computer Science 2022-05-03 Yang He , Hui-Po Wang , Maximilian Zenk , Mario Fritz

Federated learning enables collaborative machine learning while preserving data privacy, but high communication and computation costs, exacerbated by statistical and device heterogeneity, limit its practicality in mobile edge computing.…

Systems and Control · Electrical Eng. & Systems 2025-10-30 Jinghong Tan , Zhichen Zhang , Kun Guo , Tsung-Hui Chang , Tony Q. S. Quek

In this paper, we design two compressed decentralized algorithms for solving nonconvex stochastic optimization under two different scenarios. Both algorithms adopt a momentum technique to achieve fast convergence and a message-compression…

Machine Learning · Computer Science 2025-08-08 Wei Liu , Anweshit Panda , Ujwal Pandey , Christopher Brissette , Yikang Shen , George M. Slota , Naigang Wang , Jie Chen , Yangyang Xu

We provide the first convergence analysis of local gradient descent for minimizing the average of smooth and convex but otherwise arbitrary functions. Problems of this form and local gradient descent as a solution method are of importance…

Machine Learning · Computer Science 2020-03-19 Ahmed Khaled , Konstantin Mishchenko , Peter Richtárik

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

Federated learning is a rapidly-growing area of research which enables a large number of clients to jointly train a machine learning model on privately-held data. One of the largest barriers to wider adoption of federated learning is the…

Machine Learning · Computer Science 2021-12-07 Luke Melas-Kyriazi , Franklyn Wang

Distributed learning, particularly Federated Learning (FL), faces a significant bottleneck in the communication cost, particularly the uplink transmission of client-to-server updates, which is often constrained by asymmetric bandwidth…

Machine Learning · Computer Science 2026-02-19 Tomas Ortega , Chun-Yin Huang , Xiaoxiao Li , Hamid Jafarkhani