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This paper aims at proposing a procedure to derive distributed algorithms for distributed consensus-based optimization by using distributed algorithms for network resource allocation and vice versa over switching networks with/without…

Optimization and Control · Mathematics 2022-08-04 Seyyed Shaho Alaviani , Atul Gajanan Kelkar , Umesh Vaidya

In this paper we focus on the distributed quantized average consensus problem in open multi-agent systems consisting of dynamic directed communication links among active nodes. We propose three communication-efficient distributed algorithms…

Systems and Control · Electrical Eng. & Systems 2026-03-10 Jiaqi Hu , Karl H. Johansson , Apostolos I. Rikos

The distributed convex optimization problem over the multi-agent system is considered in this paper, and it is assumed that each agent possesses its own cost function and communicates with its neighbours over a sequence of time-varying…

Optimization and Control · Mathematics 2022-02-03 Cong Wang , Shengyuan Xu , Deming Yuan , Baoyong Zhang , Zhengqiang Zhang

We develop a system-theoretic framework for the structured analysis of distributed optimization algorithms with decomposable cost functions. We model such algorithms as a network of interacting dynamical systems and derive tests for…

Optimization and Control · Mathematics 2026-04-14 Aron Karakai , Jaap Eising , Andrea Martinelli , Florian Dörfler

Distributed Optimization is an increasingly important subject area with the rise of multi-agent control and optimization. We consider a decentralized stochastic optimization problem where the agents on a graph aim to asynchronously optimize…

Optimization and Control · Mathematics 2021-10-22 Vyacheslav Kungurtsev , Mahdi Morafah , Tara Javidi , Gesualdo Scutari

The paper proposes a heterogeneous push-sum based subgradient algorithm for multi-agent distributed convex optimization in which each agent can arbitrarily switch between subgradient-push and push-subgradient at each time. It is shown that…

Optimization and Control · Mathematics 2023-03-31 Yixuan Lin , Ji Liu

This paper proposes networked dynamics to solve resource allocation problems over time-varying multi-agent networks. The state of each agent represents the amount of used resources (or produced utilities) while the total amount of resources…

Systems and Control · Electrical Eng. & Systems 2022-07-26 Mohammadreza Doostmohammadian , Alireza Aghasi , Mohammad Pirani , Ehsan Nekouei , Usman A. Khan , Themistoklis Charalambous

We address the problem of distributed uncon- strained convex optimization under separability assumptions, i.e., the framework where each agent of a network is endowed with a local private multidimensional convex cost, is subject to…

Optimization and Control · Mathematics 2015-11-06 Damiano Varagnolo , Filippo Zanella , Angelo Cenedese , Gianluigi Pillonetto , Luca Schenato

In this work, we study the task of distributed optimization over a network of learners in which each learner possesses a convex cost function, a set of affine equality constraints, and a set of convex inequality constraints. We propose a…

Optimization and Control · Mathematics 2015-06-18 Zaid J. Towfic , Ali H. Sayed

A wider selection of step sizes is explored for the distributed subgradient algorithm for multi-agent optimization problems, for both time-invariant and time-varying communication topologies. The square summable requirement of the step…

Optimization and Control · Mathematics 2016-02-02 Peng Wang , Wei Ren

This paper delves into the investigation of a distributed aggregative optimization problem within a network. In this scenario, each agent possesses its own local cost function, which relies not only on the local state variable but also on…

Optimization and Control · Mathematics 2025-04-01 Jiaxu Liu , Song Chen , Shengze Cai , Chao Xu , Jian Chu

This paper proposes a distributed optimization algorithm with a convergence time that can be assigned in advance according to task requirements. To this end, a sliding manifold is introduced to achieve the sum of local gradients approaching…

Optimization and Control · Mathematics 2024-12-31 Renyongkang Zhang , Ge Guo , Zeng-di Zhou

In this paper, we study the optimal convergence rate for distributed convex optimization problems in networks. We model the communication restrictions imposed by the network as a set of affine constraints and provide optimal complexity…

Optimization and Control · Mathematics 2018-11-16 César A. Uribe , Soomin Lee , Alexander Gasnikov , Angelia Nedić

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

In recent times, various distributed optimization algorithms have been proposed for whose specific agent dynamics global optimality and convergence is proven. However, there exist no general conditions for the design of such algorithms. In…

Optimization and Control · Mathematics 2025-03-14 Pol Jane-Soneira , Charles Muller , Felix Strehle , Sören Hohmann

In this paper, we propose Distributed Mirror Descent (DMD) algorithm for constrained convex optimization problems on a (strongly-)connected multi-agent network. We assume that each agent has a private objective function and a constraint…

Optimization and Control · Mathematics 2015-04-28 Chenguang Xi , Qiong Wu , Usman A. Khan

This work studies nonconvex distributed constrained optimization over stochastic communication networks. We revisit the distributed dual averaging algorithm, which is known to converge for convex problems. We start from the centralized…

Optimization and Control · Mathematics 2022-11-15 Changxin Liu , Xuyang Wu , Xinlei Yi , Yang Shi , Karl H. Johansson

We consider cooperative multi-agent resource sharing problems over time-varying communication networks, where only local communications are allowed. The objective is to minimize the sum of agent-specific composite convex functions subject…

Optimization and Control · Mathematics 2019-08-27 Necdet Serhat Aybat , Erfan Yazdandoost Hamedani

In this paper, we propose a distributed algorithm to control a team of cooperating robots aiming to protect a target from a set of intruders. Specifically, we model the strategy of the defending team by means of an online optimization…

Robotics · Computer Science 2023-04-28 Lorenzo Pichierri , Guido Carnevale , Lorenzo Sforni , Andrea Testa , Giuseppe Notarstefano

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 2021-08-23 Elie Atallah , Nazanin Rahnavard , Chinwendu Enyioha
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