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This paper proposes the matrix-weighted consensus algorithm, which is a generalization of the consensus algorithm in the literature. Given a networked dynamical system where the interconnections between agents are weighted by nonnegative…

Optimization and Control · Mathematics 2018-01-09 Minh Hoang Trinh , Hyo-Sung Ahn

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

The personalization of our news consumption on social media has a tendency to reinforce our pre-existing beliefs instead of balancing our opinions. This finding is a concern for the health of our democracies which rely on an access to…

Social and Information Networks · Computer Science 2019-06-04 Ruben Becker , Federico Corò , Gianlorenzo D'Angelo , Hugo Gilbert

In this paper, we propose a distributed algorithm for the minimum dominating set problem. For some especial networks, we prove theoretically that the achieved answer by our proposed algorithm is a constant approximation factor of the exact…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-05 Sharareh Alipour , Ehsan Futuhi , Shayan Karimi

The rapid spread of information and rumors through social media platforms, especially in group settings, motivates the need for more sophisticated models of rumor propagation. Traditional pairwise models do not account for group…

Physics and Society · Physics 2025-04-29 Kleber A. Oliveira , Pietro Traversa , Guilherme Ferraz de Arruda , Yamir Moreno

We present a new and efficient algorithm for determining a consensus value for a network of agents. Different from existing algorithms, our algorithm evaluates the consensus value for very large networks using heat kernel pagerank. We…

Systems and Control · Computer Science 2015-08-03 Fan Chung , Olivia Simpson

Rumor spreading is a ubiquitous phenomenon in social and technological networks. Traditional models consider that the rumor is propagated by pairwise interactions between spreaders and ignorants. Spreaders can become stiflers only after…

We define two algorithms for propagating information in classification problems with pairwise relationships. The algorithms are based on contraction maps and are related to non-linear diffusion and random walks on graphs. The approach is…

Data Structures and Algorithms · Computer Science 2019-05-16 Pedro F. Felzenszwalb , Benar F. Svaiter

In decentralized networks (of sensors, connected objects, etc.), there is an important need for efficient algorithms to optimize a global cost function, for instance to learn a global model from the local data collected by each computing…

Machine Learning · Statistics 2019-01-25 Igor Colin , Aurélien Bellet , Joseph Salmon , Stéphan Clémençon

We study concentration inequalities in gossip opinion dynamics over random graphs. In the model, a network is generated from a random graph model with independent edges, and agents interact pairwise randomly over the network. During the…

Systems and Control · Electrical Eng. & Systems 2024-02-19 Yu Xing , Karl Henrik Johansson

With the rapid development of mobile Internet technology and the widespread use of mobile devices, it becomes much easier for people to express their opinions on social media. The openness and convenience of social media platforms provide a…

Social and Information Networks · Computer Science 2020-06-11 Qi Huang , Junshuai Yu , Jia Wu , Bin Wang

One major function of social networks (e.g., massive online social networks) is the dissemination of information such as scientific knowledge, news, and rumors. Information can be propagated by the users of the network via natural…

Computer Science and Game Theory · Computer Science 2010-06-30 Dmitry Zinoviev , Vy Duong , Honggang Zhang

In this work we present a randomized gossip algorithm for solving the average consensus problem while at the same time protecting the information about the initial private values stored at the nodes. We give iteration complexity bounds for…

Optimization and Control · Mathematics 2024-12-20 Filip Hanzely , Jakub Konečný , Nicolas Loizou , Peter Richtárik , Dmitry Grishchenko

Results for estimating the convergence rate of non-stationary distributed consensus algorithms are provided, on the basis of qualitative (mainly topological) as well as basic quantitative information (lower-bounds on the matrix entries).…

Optimization and Control · Mathematics 2007-12-22 David Angeli , Pierre-Alexandre Bliman

We study a model of rumor propagation in discrete time where each site in the graph has initially a distinct information; we are interested in the number of "conversations" before the entire graph knows all informations. This problem can be…

Probability · Mathematics 2019-05-28 Darcy Camargo , Serguei Popov

Error-correcting codes are efficient methods for handling \emph{noisy} communication channels in the context of technological networks. However, such elaborate methods differ a lot from the unsophisticated way biological entities are…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-05-24 Pierre Fraigniaud , Emanuele Natale

This paper studies system stability and performance of multi-agent systems in the context of consensus problems over wireless multiple-access channels (MAC). We propose a consensus algorithm that exploits the broadcast property of the…

Systems and Control · Computer Science 2018-04-30 Fabio Molinari , Sławomir Stańczak , Jörg Raisch

This research examines the propagation of rumors on social networks during public health emergencies and explores strategies to effectively manage false information in cyberspace. Using a simulation model, the study analyzes the impact of…

Social and Information Networks · Computer Science 2023-03-28 Yixuan Zhao , Rohitha Settipalli

In this paper, we study an asynchronous randomized gossip algorithm under unreliable communication. At each instance, two nodes are selected to meet with a given probability. When nodes meet, two unreliable communication links are…

Information Theory · Computer Science 2012-03-28 Guodong Shi , Mikael Johansson , Karl Henrik Johansson

We study the fundamental problem of information spreading (also known as gossip) in dynamic networks. In gossip, or more generally, $k$-gossip, there are $k$ pieces of information (or tokens) that are initially present in some nodes and the…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-12-05 Chinmoy Dutta , Gopal Pandurangan , Rajmohan Rajaraman , Zhifeng Sun
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