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Distributed optimization methods are often applied to solving huge-scale problems like training neural networks with millions and even billions of parameters. In such applications, communicating full vectors, e.g., (stochastic) gradients,…

Optimization and Control · Mathematics 2022-05-31 Marina Danilova , Eduard Gorbunov

Communication is a key bottleneck in distributed training. Recently, an \emph{error-compensated} compression technology was particularly designed for the \emph{centralized} learning and receives huge successes, by showing significant…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-06 Hanlin Tang , Xiangru Lian , Shuang Qiu , Lei Yuan , Ce Zhang , Tong Zhang , Ji Liu

In this work we focus our attention on distributed optimization problems in the context where the communication time between the server and the workers is non-negligible. We obtain novel methods supporting bidirectional compression (both…

Optimization and Control · Mathematics 2023-05-23 Kaja Gruntkowska , Alexander Tyurin , Peter Richtárik

We study the problem of distributed cooperative learning, where a group of agents seeks to agree on a set of hypotheses that best describes a sequence of private observations. In the scenario where the set of hypotheses is large, we propose…

Machine Learning · Computer Science 2021-09-22 Mohammad Taha Toghani , César A. Uribe

Federated learning (FL) has received significant attention in recent years for its advantages in efficient training of machine learning models across distributed clients without disclosing user-sensitive data. Specifically, in federated…

Machine Learning · Computer Science 2024-10-10 Chung-Hsuan Hu , Zheng Chen , Erik G. Larsson

Lossy gradient compression, with either unbiased or biased compressors, has become a key tool to avoid the communication bottleneck in centrally coordinated distributed training of machine learning models. We analyze the performance of two…

Machine Learning · Computer Science 2020-12-23 Sebastian U. Stich

In federated learning, client selection is a critical problem that significantly impacts both model performance and fairness. Prior studies typically treat these two objectives separately, or balance them using simple weighting schemes.…

Machine Learning · Computer Science 2025-03-25 Qingming Li , Juzheng Miao , Puning Zhao , Li Zhou , H. Vicky Zhao , Shouling Ji , Bowen Zhou , Furui Liu

We study the so-called distributed two-time-scale gradient method for solving convex optimization problems over a network of agents when the communication bandwidth between the nodes is limited, and so information that is exchanged between…

Systems and Control · Electrical Eng. & Systems 2021-06-01 Marcos M. Vasconcelos , Thinh T. Doan , Urbashi Mitra

We present a unified convergence analysis for first order convex optimization methods using the concept of strong Lyapunov conditions. Combining this with suitable time scaling factors, we are able to handle both convex and strong convex…

Optimization and Control · Mathematics 2021-08-03 Long Chen , Hao Luo

Federated learning (FL) has emerged as a communication-efficient algorithmic framework for distributed learning across multiple agents. While standard FL formulations capture unconstrained or globally constrained problems, many practical…

Machine Learning · Computer Science 2026-03-23 Mohammadjavad Ebrahimi , Daniel Burbano , Farzad Yousefian

Federated Learning (FL) enables decentralized model training across multiple clients while optionally preserving data privacy. However, communication efficiency remains a critical bottleneck, particularly for large-scale models. In this…

Machine Learning · Computer Science 2025-11-11 Arnaud Descours , Léonard Deroose , Jan Ramon

We introduce an autonomous system with closed-loop damping for first-order convex optimization. While, to this day, optimal rates of convergence are almost exclusively achieved by non-autonomous methods via open-loop damping (e.g.,…

Optimization and Control · Mathematics 2024-04-16 Severin Maier , Camille Castera , Peter Ochs

This paper considers distributed nonconvex optimization with the cost functions being distributed over agents. Noting that information compression is a key tool to reduce the heavy communication load for distributed algorithms as agents…

Optimization and Control · Mathematics 2022-10-10 Xinlei Yi , Shengjun Zhang , Tao Yang , Tianyou Chai , Karl H. Johansson

We consider distributed convex optimization problems originated from sample average approximation of stochastic optimization, or empirical risk minimization in machine learning. We assume that each machine in the distributed computing…

Optimization and Control · Mathematics 2015-01-05 Yuchen Zhang , Lin Xiao

Federated sampling algorithms have recently gained great popularity in the community of machine learning and statistics. This paper studies variants of such algorithms called Error Feedback Langevin algorithms (ELF). In particular, we…

Machine Learning · Statistics 2023-03-09 Avetik Karagulyan , Peter Richtárik

Federated learning (FL) is a promising and powerful approach for training deep learning models without sharing the raw data of clients. During the training process of FL, the central server and distributed clients need to exchange a vast…

Machine Learning · Computer Science 2021-04-27 Zhefeng Qiao , Xianghao Yu , Jun Zhang , Khaled B. Letaief

The paper proposes a distributed eventtriggered consensus approach for linear multi-agent systems with guarantees over rate of convergence, resilience to control gain uncertainties, and Pareto optimality of design parameters, namely, the…

Systems and Control · Computer Science 2019-06-17 Amir Amini , Arash Mohammadi , Amir Asif

We consider a distributed empirical risk minimization (ERM) optimization problem with communication efficiency and privacy requirements, motivated by the federated learning (FL) framework. Unique challenges to the traditional ERM problem in…

Machine Learning · Computer Science 2020-09-24 Antonious M. Girgis , Deepesh Data , Suhas Diggavi , Peter Kairouz , Ananda Theertha Suresh

In large-scale distributed machine learning, recent works have studied the effects of compressing gradients in stochastic optimization to alleviate the communication bottleneck. These works have collectively revealed that stochastic…

Machine Learning · Computer Science 2024-06-05 Aritra Mitra , George J. Pappas , Hamed Hassani

In this paper, a communication-efficient federated learning (FL) framework is proposed for improving the convergence rate of FL under a limited uplink capacity. The central idea of the proposed framework is to transmit the values and…

Signal Processing · Electrical Eng. & Systems 2023-07-21 Jaewon Yun , Yongjeong Oh , Yo-Seb Jeon , H. Vincent Poor