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This paper investigates distributed resource allocation optimization over directed graphs with limited communication bandwidth. We develop a novel distributed algorithm that integrates the centralized Proximal Jacobian Alternating Direction…

Optimization and Control · Mathematics 2026-04-17 Xu Du , Boyu Han , Ivano Notarnicola , Karl H. Johansson , Apostolos I. Rikos

Distributed optimization is an important direction of research in modern optimization theory. Its applications include large scale machine learning, distributed signal processing and many others. The paper studies decentralized min-max…

Optimization and Control · Mathematics 2023-09-08 Nhat Trung Nguyen , Alexander Rogozin , Dmitry Metelev , Alexander Gasnikov

Motivated by recent development in networking and parallel data-processing, we consider a distributed and localized finite-sum (or fixed-sum) allocation technique to solve resource-constrained convex optimization problems over multi-agent…

Systems and Control · Electrical Eng. & Systems 2022-03-29 Mohammadreza Doostmohammadian , Maria Vrakopoulou , Alireza Aghasi , Themistoklis Charalambous

We study distributed multi-agent large-scale optimization problems, wherein the cost function is composed of a smooth possibly nonconvex sum-utility plus a DC (Difference-of-Convex) regularizer. We consider the scenario where the dimension…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-29 Ivano Notarnicola , Ying Sun , Gesualdo Scutari , Giuseppe Notarstefano

Consider the setting where each vertex of a graph has a function, and communications can only occur between vertices connected by an edge. We wish to minimize the sum of these functions. For the case when each function is the sum of a…

Optimization and Control · Mathematics 2018-11-29 C. H. Jeffrey Pang

We propose a regularized saddle-point algorithm for convex networked optimization problems with resource allocation constraints. Standard distributed gradient methods suffer from slow convergence and require excessive communication when…

Systems and Control · Computer Science 2012-08-16 Andrea Simonetto , Tamas Keviczky , Mikael Johansson

We consider distributed online convex optimization problems, where the distributed system consists of various computing units connected through a time-varying communication graph. In each time step, each computing unit selects a constrained…

Machine Learning · Computer Science 2019-12-23 Deming Yuan , Alexandre Proutiere , Guodong Shi

To design algorithms that reduce communication cost or meet rate constraints and are robust to communication noise, we study convex distributed optimization problems where a set of agents are interested in solving a separable optimization…

Optimization and Control · Mathematics 2023-05-02 Hadi Reisizadeh , Anand Gokhale , Behrouz Touri , Soheil Mohajer

In this paper, we investigate the distributed convex optimization problem over a multi-agent system with Markovian switching communication networks. The objective function is the sum of each agent's local objective function, which cannot be…

Optimization and Control · Mathematics 2020-02-25 Peng Yi , Li Li

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

This paper proposes two nonlinear dynamics to solve constrained distributed optimization problem for resource allocation over a multi-agent network. In this setup, coupling constraint refers to resource-demand balance which is preserved at…

Systems and Control · Electrical Eng. & Systems 2023-10-30 Mohammadreza Doostmohammadian , Alireza Aghasi , Maria Vrakopoulou , Hamid R. Rabiee , Usman A. Khan , Themistoklis Charalambou

Optimization in distributed networks plays a central role in almost all distributed machine learning problems. In principle, the use of distributed task allocation has reduced the computational time, allowing better response rates and…

Optimization and Control · Mathematics 2020-07-28 Elie Atallah , Nazanin Rahnavard , Chinwendu Enyioha

Motivated by potential applications in power systems, we study a problem of optimizing a sum of $n$ convex functions on dynamic networks of $n$ nodes when each function is known to only a single node. The nodes' variables, while satisfy…

Optimization and Control · Mathematics 2016-10-04 Thinh T. Doan , Alex Olshevsky

This paper studies a class of distributed optimization algorithms by a set of agents, where each agent has only access to its own local convex objective function, and jointly minimizes the sum of the functions. The communications among…

Optimization and Control · Mathematics 2016-11-11 Qingguo Lü , Huaqing Li

Distributed optimization has many applications, in communication networks, sensor networks, signal processing, machine learning, and artificial intelligence. Methods for distributed convex optimization are widely investigated, while those…

Optimization and Control · Mathematics 2021-06-22 Hsu Kao , Vijay Subramanian

The aim of this work is to develop a fully-distributed algorithmic framework for training graph convolutional networks (GCNs). The proposed method is able to exploit the meaningful relational structure of the input data, which are collected…

Machine Learning · Computer Science 2022-12-21 Simone Scardapane , Indro Spinelli , Paolo Di Lorenzo

We propose a distributed solution for a constrained convex optimization problem over a network of clustered agents each consisted of a set of subagents. The communication range of the clustered agents is such that they can form a connected…

Multiagent Systems · Computer Science 2021-04-06 Hossein Moradian , Solmaz S. Kia

Motivated by distributed statistical learning over uncertain communication networks, we study distributed stochastic optimization by networked nodes to cooperatively minimize a sum of convex cost functions. The network is modeled by a…

Systems and Control · Electrical Eng. & Systems 2025-01-03 Yan Chen , Alexander L. Fradkov , Keli Fu , Xiaozheng Fu , Tao Li

In this paper, distributed convex optimization problem over non-directed dynamical networks is studied. Here, networked agents with single-integrator dynamics are supposed to rendezvous at a point that is the solution of a global convex…

Optimization and Control · Mathematics 2017-07-18 Amir Adibzadeh , Mohsen Zamani , Amir A. Suratgar , Mohammad B. Menhaj

Based on the idea of randomized coordinate descent of $\alpha$-averaged operators, a randomized primal-dual optimization algorithm is introduced, where a random subset of coordinates is updated at each iteration. The algorithm builds upon a…

Optimization and Control · Mathematics 2015-10-01 Pascal Bianchi , Walid Hachem , Franck Iutzeler
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