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In multi-agent systems, strong connectivity of the communication network is often crucial for establishing consensus protocols, which underpin numerous applications in decision-making and distributed optimization. However, this connectivity…

Optimization and Control · Mathematics 2024-11-12 Guilherme Ramos , Diogo Poças , Sérgio Pequito

We study a new variant of consensus problems, termed `local average consensus', in networks of agents. We consider the task of using sensor networks to perform distributed measurement of a parameter which has both spatial (in this paper 1D)…

Systems and Control · Computer Science 2013-09-02 Kai Cai , Brian D. O. Anderson , Changbin Yu , Guoqiang Mao

We study the decentralized online regularized linear regression algorithm over random time-varying graphs. At each time step, every node runs an online estimation algorithm consisting of an innovation term processing its own new…

Machine Learning · Computer Science 2025-10-02 Xiwei Zhang , Tao Li , Xiaozheng Fu

The paper addresses large-scale, convex optimization problems that need to be solved in a distributed way by agents communicating according to a random time-varying graph. Specifically, the goal of the network is to minimize the sum of…

Optimization and Control · Mathematics 2020-10-28 Andrea Camisa , Francesco Farina , Ivano Notarnicola , Giuseppe Notarstefano

In this paper, we consider the problem of maximizing the spread of influence through a social network. Given a graph with a threshold value~$thr(v)$ attached to each vertex~$v$, the spread of influence is modeled as follows: A vertex~$v$…

Data Structures and Algorithms · Computer Science 2014-08-19 Cristina Bazgan , Morgan Chopin , André Nichterlein , Florian Sikora

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

In this paper we consider a network of processors aiming at cooperatively solving linear programming problems subject to uncertainty. Each node only knows a common cost function and its local uncertain constraint set. We propose a…

Optimization and Control · Mathematics 2019-08-27 Mohammadreza Chamanbaz , Giuseppe Notarstefano , Roland Bouffanais

Consider $n$ agents connected over a network collaborating to minimize the average of their local cost functions combined with a common nonsmooth function. This paper introduces a unified algorithmic framework for solving such a problem…

Optimization and Control · Mathematics 2026-05-05 Kun Huang , Shi Pu , Angelia Nedić

The mixing time of a graph is an important metric, which is not only useful in analyzing connectivity and expansion properties of the network, but also serves as a key parameter in designing efficient algorithms. We present an efficient…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-10-19 Anisur Rahaman Molla , Gopal Pandurangan

We consider the External Clock Synchronization problem in dynamic sensor networks. Initially, sensors obtain inaccurate estimations of an external time reference and subsequently collaborate in order to synchronize their internal clocks…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-08-11 Ofer Feinerman , Amos Korman

Let $G = (V,E)$ be a connected directed graph on $n$ vertices. Assign values from the set $\{1,2,\dots,n\}$ to the vertices of $G$ and update the values according to the following rule: uniformly at random choose a vertex and update its…

Data Structures and Algorithms · Computer Science 2024-06-05 John Larkin

We consider the question of averaging on a graph that has one sparse cut separating two subgraphs that are internally well connected. While there has been a large body of work devoted to algorithms for distributed averaging, nearly all…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-05-01 Hariharan Narayanan

In this paper, finite-time state consensus problems for continuous-time multi-agent systems are discussed, and two distributive protocols, which ensure that the states of agents reach an agreement in a finite time, are presented. By…

Dynamical Systems · Mathematics 2007-05-23 Long Wang , Feng Xiao

We study the problem of distributed hypothesis testing with a network of agents where some agents repeatedly gain access to information about the correct hypothesis. The group objective is to globally agree on a joint hypothesis that best…

Optimization and Control · Mathematics 2015-08-24 Angelia Nedić , Alex Olshevsky , César A. Uribe

It is intuitive and well known, that if agents in a multi-agent system iteratively update their states in the Euclidean space as convex combinations of neighbors' states, all states eventually converge to the same value (consensus),…

Optimization and Control · Mathematics 2026-02-04 Galina Sidorenko , Johan Thunberg

We initiate the study of approximate maximum matching in the vertex partition model, for graphs subject to dynamic changes. We assume that the $n$ vertices of the graph are partitioned among $k$ players, who execute a distributed algorithm…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-01 Peter Robinson , Xianbin Zhu

In this paper, we consider a distributed stochastic optimization problem where the goal is to minimize the time average of a cost function subject to a set of constraints on the time averages of related stochastic processes called…

Information Theory · Computer Science 2017-01-11 B. N. Bharath , P. Vaishali

We consider the problem of multi-agent consensus where some agents are subject to faults/attacks and might make updates arbitrarily. The network consists of agents taking integer-valued (i.e., quantized) states under directed communication…

Systems and Control · Computer Science 2017-10-20 Seyed Mehran Dibaji , Hideaki Ishii , Roberto Tempo

Two-time-scale stochastic approximation is a popular iterative method for finding the solution of a system of two equations. Such methods have found broad applications in many areas, especially in machine learning and reinforcement…

Optimization and Control · Mathematics 2019-12-24 Thinh T. Doan , Justin Romberg

One of the most important problems in the field of distributed optimization is the problem of minimizing a sum of local convex objective functions over a networked system. Most of the existing work in this area focus on developing…

Optimization and Control · Mathematics 2019-01-08 Fatemeh Mansoori , Ermin Wei
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