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In this paper, we revisit a well-known distributed projected subgradient algorithm which aims to minimize a sum of cost functions with a common set constraint. In contrast to most of existing results, weight matrices of the time-varying…

Optimization and Control · Mathematics 2021-04-29 Weijian Li , Zihan Chen , Youcheng Lou , Yiguang Hong

Motivated by applications in machine learning and statistics, we study distributed optimization problems over a network of processors, where the goal is to optimize a global objective composed of a sum of local functions. In these problems,…

Optimization and Control · Mathematics 2019-05-14 Thinh T. Doan , Carolyn L. Beck , R. Srikant

We study the average consensus problem of multi-agent systems for general network topologies with unidirectional information flow. We propose two (linear) distributed algorithms, deterministic and gossip, respectively for the cases where…

Systems and Control · Computer Science 2012-03-13 Kai Cai , Hideaki Ishii

This paper studies the fastest distributed consensus averaging problem on branches of an arbitrary connected sensor network. In the previous works full knowledge about the sensor network's connectivity topology was required for determining…

Information Theory · Computer Science 2011-06-06 Saber Jafarizadeh , Abbas Jamalipour

In this paper, we discuss a class of distributed detection algorithms which can be viewed as implementations of Bayes' law in distributed settings. Some of the algorithms are proposed in the literature most recently, and others are first…

Methodology · Statistics 2015-11-10 Qipeng Liu , Jiuhua Zhao , Xiaofan Wang

The consensus problem in distributed computing involves a network of agents aiming to compute the average of their initial vectors through local communication, represented by an undirected graph. This paper focuses on the studying of this…

Optimization and Control · Mathematics 2024-11-26 Nhat Trung Nguyen , Alexander Rogozin , Alexander Gasnikov

In the past few years, the problem of distributed consensus has received a lot of attention, particularly in the framework of ad hoc sensor networks. Most methods proposed in the literature address the consensus averaging problem by…

Information Theory · Computer Science 2009-11-13 Effrosyni Kokiopoulou , Pascal Frossard

Classical approaches for asymptotic convergence to the global average in a distributed fashion typically assume timely and reliable exchange of information between neighboring components of a given multi-component system. These assumptions…

Multiagent Systems · Computer Science 2013-02-25 Christoforos N. Hadjicostis , Themistoklis Charalambous

We study the problem of asymptotic consensus as it occurs in a wide range of applications in both man-made and natural systems. In particular, we study systems with directed communication graphs that may change over time. We recently…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-09 Bernadette Charron-Bost , Matthias Függer , Thomas Nowak

Distributed quantized weight-balancing and average consensus over fixed digraphs are considered. A digraph with non-negative weights associated to its edges is weight-balanced if, for each node, the sum of the weights of its out-going edges…

Optimization and Control · Mathematics 2018-09-19 Chang-Shen Lee , Nicolò Michelusi , Gesualdo Scutari

We consider the quantized consensus problem on undirected time-varying connected graphs with n nodes, and devise a protocol with fast convergence time to the set of consensus points. Specifically, we show that when the edges of each network…

Systems and Control · Computer Science 2016-02-04 Tamer Basar , Seyed Rasoul Etesami , Alex Olshevsky

We consider the problem of distributed learning, where a network of agents collectively aim to agree on a hypothesis that best explains a set of distributed observations of conditionally independent random processes. We propose a…

Optimization and Control · Mathematics 2017-04-12 Angelia Nedić , Alex Olshevsky , César A. Uribe

In this paper a new distributed asynchronous algorithm is proposed for time synchronization in networks with random communication delays, measurement noise and communication dropouts. Three different types of the drift correction algorithm…

Systems and Control · Computer Science 2018-02-05 Milos S. Stankovic , Srdjan S. Stankovic , Karl Henrik Johansson

Recently, consensus-type problems have been formulated in the quantum domain. Obtaining average quantum consensus consists in the dynamical symmetrization of a multipartite quantum system while preserving the expectation of a given global…

Quantum Physics · Physics 2024-06-24 Francesco Ticozzi

We analyze stability of consensus algorithms in networks of multi-agents with time-varying topologies and delays. The topology and delays are modeled as induced by an adapted process and are rather general, including i.i.d.\ topology…

Dynamical Systems · Mathematics 2011-06-07 Wenlian Lu , Fatihcan M. Atay , Jurgen Jost

Reaching consensus among states of a multi-agent system is a key requirement for many distributed control/optimization problems. Such a consensus is often achieved using the standard Laplacian matrix (for continuous system) or Perron matrix…

Systems and Control · Computer Science 2017-07-25 Zheming Wang , Chong Jin Ong

Building large-scale quantum computers, essential to demonstrating quantum advantage, is a key challenge. Quantum Networks (QNs) can help address this challenge by enabling the construction of large, robust, and more capable quantum…

Quantum Physics · Physics 2025-03-20 Xiaojie Fan , Caitao Zhan , Himanshu Gupta , C. R. Ramakrishnan

This paper considers the consensus problem for a network of nodes with random interactions and sampled-data control actions. We first show that consensus in expectation, in mean square, and almost surely are equivalent for a general random…

Systems and Control · Computer Science 2016-08-24 Junfeng Wu , Ziyang Meng , Tao Yang , Guodong Shi , Karl H. Johansson

We consider a decentralized convex unconstrained optimization problem, where the cost function can be decomposed into a sum of strongly convex and smooth functions, associated with individual agents, interacting over a static or…

Optimization and Control · Mathematics 2023-12-12 Dmitry Metelev , Aleksandr Beznosikov , Alexander Rogozin , Alexander Gasnikov , Anton Proskurnikov

We propose an adaptive control strategy for the simultaneous estimation of topology and synchronization in complex dynamical networks with unknown, time-varying topology. Our approach transforms the problem of time-varying topology…

Multiagent Systems · Computer Science 2024-09-16 Nana Wang , Esteban Restrepo , Dimos V. Dimarogonas