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In this paper, we propose a communication- and computation-efficient algorithm to solve a convex consensus optimization problem defined over a decentralized network. A remarkable existing algorithm to solve this problem is the alternating…

Optimization and Control · Mathematics 2020-04-09 Weiyu Li , Yaohua Liu , Zhi Tian , Qing Ling

This paper considers the decentralized convex optimization problem, which has a wide range of applications in large-scale machine learning, sensor networks, and control theory. We propose novel algorithms that achieve optimal computation…

Machine Learning · Computer Science 2023-10-11 Haishan Ye , Luo Luo , Ziang Zhou , Tong Zhang

Communication efficiency has been widely recognized as the bottleneck for large-scale decentralized machine learning applications in multi-agent or federated environments. To tackle the communication bottleneck, there have been many efforts…

Machine Learning · Computer Science 2022-10-17 Haoyu Zhao , Boyue Li , Zhize Li , Peter Richtárik , Yuejie Chi

We consider the task of minimizing the sum of convex functions stored in a decentralized manner across the nodes of a communication network. This problem is relatively well-studied in the scenario when the objective functions are smooth, or…

Optimization and Control · Mathematics 2024-05-29 Dmitry Kovalev , Ekaterina Borodich , Alexander Gasnikov , Dmitrii Feoktistov

The problem of minimizing a separable convex function under linearly coupled constraints arises from various application domains such as economic systems, distributed control, and network flow. The main challenge for solving this problem is…

Optimization and Control · Mathematics 2017-09-05 Qin Fan , Min Xu , Yiming Ying

We study optimization algorithms for the finite sum problems frequently arising in machine learning applications. First, we propose novel variants of stochastic gradient descent with a variance reduction property that enables linear…

Machine Learning · Computer Science 2017-07-06 Jakub Konečný

Resource allocation is a fundamental problem in Industrial Internet of Things (IIoT) systems, in which devices work together under limited communication bandwidth to complete diverse tasks. This paper proposes a communication-efficient…

Optimization and Control · Mathematics 2026-05-26 Yuzhu Duan , Ziwen Yang , Xiaoming Duan , Shanying Zhu

Lossy gradient compression has become a practical tool to overcome the communication bottleneck in centrally coordinated distributed training of machine learning models. However, algorithms for decentralized training with compressed…

Machine Learning · Computer Science 2020-10-20 Thijs Vogels , Sai Praneeth Karimireddy , Martin Jaggi

Decentralized methods to solve finite-sum minimization problems are important in many signal processing and machine learning tasks where the data is distributed over a network of nodes and raw data sharing is not permitted due to privacy…

Machine Learning · Computer Science 2020-02-14 Ran Xin , Soummya Kar , Usman A. Khan

Decentralized distributed learning is the key to enabling large-scale machine learning (training) on edge devices utilizing private user-generated local data, without relying on the cloud. However, the practical realization of such…

Machine Learning · Computer Science 2022-09-13 Sai Aparna Aketi , Sangamesh Kodge , Kaushik Roy

In prototype-based federated learning, the exchange of model parameters between clients and the master server is replaced by transmission of prototypes or quantized versions of the data samples to the aggregation server. A fully…

Training at the edge utilizes continuously evolving data generated at different locations. Privacy concerns prohibit the co-location of this spatially as well as temporally distributed data, deeming it crucial to design training algorithms…

Machine Learning · Computer Science 2023-03-28 Sakshi Choudhary , Sai Aparna Aketi , Gobinda Saha , Kaushik Roy

We investigate fast and communication-efficient algorithms for the classic problem of minimizing a sum of strongly convex and smooth functions that are distributed among $n$ different nodes, which can communicate using a limited number of…

Optimization and Control · Mathematics 2021-06-21 Foivos Alimisis , Peter Davies , Dan Alistarh

Decentralized federated learning (DFL) is a promising machine learning paradigm for bringing artificial intelligence (AI) capabilities to the network edge. Running DFL on top of edge networks, however, faces severe performance challenges…

Networking and Internet Architecture · Computer Science 2025-04-22 Tingyang Sun , Tuan Nguyen , Ting He

This paper studies distributed algorithms for (strongly convex) composite optimization problems over mesh networks, subject to quantized communications. Instead of focusing on a specific algorithmic design, a black-box model is proposed,…

Optimization and Control · Mathematics 2022-05-19 Nicolò Michelusi , Gesualdo Scutari , Chang-Shen Lee

The training of large models demands substantial computational resources, typically available only in data centers with high-bandwidth interconnects. However, reducing the reliance on high-bandwidth interconnects between nodes enables the…

Machine Learning · Computer Science 2025-10-07 Sasho Nedelkoski , Alexander Acker , Odej Kao , Soeren Becker , Dominik Scheinert

Representation learning is a widely adopted framework for learning in data-scarce environments, aiming to extract common features from related tasks. While centralized approaches have been extensively studied, decentralized methods remain…

Machine Learning · Computer Science 2025-12-30 Donghwa Kang , Shana Moothedath

Emerging applications in multi-agent environments such as internet-of-things, networked sensing, autonomous systems and federated learning, call for decentralized algorithms for finite-sum optimizations that are resource-efficient in terms…

Machine Learning · Statistics 2021-12-03 Boyue Li , Zhize Li , Yuejie Chi

Modern applied optimization problems become more and more complex every day. Due to this fact, distributed algorithms that can speed up the process of solving an optimization problem through parallelization are of great importance. The main…

Optimization and Control · Mathematics 2023-12-14 Svetlana Tkachenko , Artem Andreev , Aleksandr Beznosikov , Alexander Gasnikov

This article introduces a generalized framework for Decentralized Learning formulated as a Multi-Objective Optimization problem, in which both distributed agents and a central coordinator contribute independent, potentially conflicting…

Optimization and Control · Mathematics 2025-07-21 Roberto Morales , Umberto Biccari