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In this work, we study the consensus problem in which legitimate agents send their values over an undirected communication network in the presence of an unknown subset of malicious or faulty agents. In contrast to former works, we…

Systems and Control · Electrical Eng. & Systems 2025-04-11 Orhan Eren Akgün , Sarper Aydın , Stephanie Gil , Angelia Nedić

We consider distributed optimization by a collection of nodes, each having access to its own convex function, whose collective goal is to minimize the sum of the functions. The communications between nodes are described by a time-varying…

Optimization and Control · Mathematics 2014-03-18 Angelia Nedic , Alex Olshevsky

Distributed optimization has gained significant attention in recent years, primarily fueled by the availability of a large amount of data and privacy-preserving requirements. This paper presents a fixed-time convergent optimization…

Systems and Control · Computer Science 2022-05-30 Kunal Garg , Mayank Baranwal

This paper develops a novel approach to the consensus problem of multi-agent systems by minimizing a weighted state error with neighbor agents via linear quadratic (LQ) optimal control theory. Existing consensus control algorithms only…

Optimization and Control · Mathematics 2024-03-19 Liping Zhang , Juanjuan Xu , Huanshui Zhang , Lihua Xie

This paper considers the distributed consensus problem of linear multi-agent systems subject to different matching uncertainties for both the cases without and with a leader of bounded unknown control input. Due to the existence of…

Optimization and Control · Mathematics 2013-12-31 Zhongkui Li , Zhisheng Duan , Frank Lewis

We consider a multi agent optimization problem where a set of agents collectively solves a global optimization problem with the objective function given by the sum of locally known convex functions. We focus on the case when information…

Optimization and Control · Mathematics 2016-03-14 Ali Makhdoumi , Asuman Ozdaglar

We consider stochastic optimization problems in multi-agent settings, where a network of agents aims to learn parameters which are optimal in terms of a global objective, while giving preference to locally observed streaming information. To…

Multiagent Systems · Computer Science 2017-05-24 Alec Koppel , Brian M. Sadler , Alejandro Ribeiro

Distributed learning and adaptation have received significant interest and found wide-ranging applications in machine learning and signal processing. While various approaches, such as shared-memory optimization, multi-task learning, and…

Signal Processing · Electrical Eng. & Systems 2024-12-03 Pourya Behmandpoor , Marc Moonen , Panagiotis Patrinos

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 propose an asynchronous, decentralized algorithm for consensus optimization. The algorithm runs over a network in which the agents communicate with their neighbors and perform local computation. In the proposed algorithm, each agent can…

Optimization and Control · Mathematics 2017-03-06 Tianyu Wu , Kun Yuan , Qing Ling , Wotao Yin , Ali H. Sayed

We study distributed composite optimization over networks: agents minimize a sum of smooth (strongly) convex functions, the agents' sum-utility, plus a nonsmooth (extended-valued) convex one. We propose a general unified algorithmic…

Optimization and Control · Mathematics 2021-08-04 Jinming Xu , Ye Tian , Ying Sun , Gesualdo Scutari

This article aims to improve the performance of networked multi-agent systems, which are common representations of cyber-physical systems. The rate of convergence to consensus of multi-agent networks is critical to ensure cohesive, rapid…

Systems and Control · Computer Science 2020-10-12 Santosh Devasia

In this paper, we develop a class of decentralized algorithms for solving a convex resource allocation problem in a network of $n$ agents, where the agent objectives are decoupled while the resource constraints are coupled. The agents…

Optimization and Control · Mathematics 2018-12-18 Angelia Nedić , Alex Olshevsky , Wei Shi

In this paper, we study large-scale convex optimization algorithms based on the Newton method applied to regularized generalized self-concordant losses, which include logistic regression and softmax regression. We first prove that our new…

Optimization and Control · Mathematics 2019-11-22 Ulysse Marteau-Ferey , Francis Bach , Alessandro Rudi

Consider a set of agents collaboratively solving a distributed convex optimization problem, asynchronously, under stringent communication constraints. In such situations, when an agent is activated and is allowed to communicate with only…

Optimization and Control · Mathematics 2022-10-28 Ashwin Verma , Marcos M. Vasconcelos , Urbashi Mitra , Behrouz Touri

This paper considers online distributed convex constrained optimization over a time-varying multi-agent network. Agents in this network cooperate to minimize the global objective function through information exchange with their neighbors…

Optimization and Control · Mathematics 2023-05-09 Wentao Zhang , Yang Shi , Baoyong Zhang , Kaihong Lu , Deming Yuan

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

In this paper consensus in second-order multi-agent systems with a non-periodic sampled-data exchange among agents is investigated. The sampling is random with bounded inter-sampling intervals. It is assumed that each agent has exact…

Systems and Control · Computer Science 2014-09-09 Mehran Zareh , Dimos V. Dimarogonas , Mauro Franceschelli , Karl Henrik Johansson , Carla Seatzu

In this paper, we present a detailed convergence analysis of a recently developed approximate Newton-type fully distributed optimization method for smooth, strongly convex local loss functions, called Network-GIANT, which has been…

Optimization and Control · Mathematics 2026-02-17 Souvik Das , Luca Schenato , Subhrakanti Dey

Distributed abstract programs are a novel class of distributed optimization problems where (i) the number of variables is much smaller than the number of constraints and (ii) each constraint is associated to a network node. Abstract…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-11-02 Giuseppe Notarstefano , Francesco Bullo