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We introduce a general stochastic model for the spread of rumours, and derive mean-field equations that describe the dynamics of the model on complex social networks (in particular those mediated by the Internet). We use analytical and…

Physics and Society · Physics 2009-11-13 Maziar Nekovee , Y. Moreno , G. Bianconi , M. Marsili

In the era of the rapid development of the Internet, the threshold for information spreading has become lower. Most of the time, rumors, as a special kind of information, are harmful to society. And once the rumor appears, the truth will…

Social and Information Networks · Computer Science 2021-01-27 Yan Wang , Feng Qing , Jian-Ping Chai , Ye-Peng Ni

A novel Rateless-coding-assisted Multi-Packet Relaying (RMPR) protocol is proposed for large-size data spreading in mobile wireless networks. With this lightweight and robust protocol, the packet redundancy is reduced by a factor of $\sqrt…

Networking and Internet Architecture · Computer Science 2014-02-25 Huazi Zhang , Zhaoyang Zhang , Huaiyu Dai

Junior, Machado and Zuluaga (2011) studied a model to understand the spread of a rumour. Their model consists of individuals situated at the integer points of the line $\N$. An individual at the origin $0$ starts a rumour and passes it to…

Statistics Theory · Mathematics 2018-12-05 Farkhondeh Alsadat Sajadi , Rahul Roy

Consider a fully connected network of nodes, some of which have a piece of data to be disseminated to the whole network. We analyze the following push-type epidemic algorithm: in each push round, every node that has the data, i.e., every…

Probability · Mathematics 2014-03-12 Mine Caglar , Ali Devin Sezer

This paper presents a stochastic delayed differential model for rumor propagation during infodemic that incorporates human behavioral response, public skepticism and fact-checking mechanisms. A discrete time delay is introduced to model…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Lamia Alyami , Anis Hamadouche , Amir Hussain

Spreading processes are often modelled as a stochastic dynamics occurring on top of a given network with edge weights corresponding to the transmission probabilities. Knowledge of veracious transmission probabilities is essential for…

Social and Information Networks · Computer Science 2016-09-01 Andrey Y. Lokhov

Motivated by the large expansion in the study of social networks, this paper deals with the problem of multiple messages spreading over the same network using gossip algorithms. Given two messages distributed over some nodes of the graph,…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-02-04 Amine Semma , Ismail Elouafiq

By the distributed averaging problem is meant the problem of computing the average value of a set of numbers possessed by the agents in a distributed network using only communication between neighboring agents. Gossiping is a well-known…

Optimization and Control · Mathematics 2016-12-28 Ji Liu , Shaoshuai Mou , A. Stephen Morse , Brian D. O. Anderson , Changbin Yu

We study a general framework for broadcast gossip algorithms which use companion variables to solve the average consensus problem. Each node maintains an initial state and a companion variable. Iterative updates are performed asynchronously…

Systems and Control · Computer Science 2012-09-03 Wu Shaochuan , Michael G. Rabbat

The paper is devoted to the spreading of a message within the random graph evolving by the Norros-Reittu preferential attachment model. The latter model forms random Poissonian numbers of edges between newly added nodes and existing ones.…

Statistics Theory · Mathematics 2025-05-16 N. M. Markovich , D. V. Osipov

We present \textsc{P2PTFHH} (Peer--to--Peer Time--Faded Heavy Hitters) which, to the best of our knowledge, is the first distributed algorithm for mining time--faded heavy hitters on unstructured P2P networks. \textsc{P2PTFHH} is based on…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-12-05 Marco Pulimeno , Italo Epicoco , Massimo Cafaro

In a wired network, a packet can be transmitted to a specified destination only, no broadcasting required. But in ad hoc wireless network a packet transmitted by a node can reach all neighbors due to broadcasting. This broadcasting…

Networking and Internet Architecture · Computer Science 2013-04-09 Md. Nazrul Islam , M. M. A. Hashem , A. M. Moshiur Rahman

Locating the source that triggers a dynamical process is a fundamental but challenging problem in complex networks, ranging from epidemic spreading in society and on the Internet to cancer metastasis in the human body. An accurate…

Physics and Society · Physics 2016-11-15 Zhesi Shen , Shinan Cao , Wen-Xu Wang , Zengru Di , H. Eugene Stanley

We investigate the problem of spreading information contents in a wireless ad hoc network with mechanisms embracing the peer-to-peer paradigm. In our vision, information dissemination should satisfy the following requirements: (i) it…

Networking and Internet Architecture · Computer Science 2009-01-14 Claudio Casetti , Carla-Fabiana Chiasserini , Marco Fiore , Chi-Anh La , Pietro Michiardi

Diffusion probabilistic models have demonstrated an outstanding capability to model natural images and raw audio waveforms through a paired diffusion and reverse processes. The unique property of the reverse process (namely, eliminating…

Audio and Speech Processing · Electrical Eng. & Systems 2021-11-23 Yen-Ju Lu , Yu Tsao , Shinji Watanabe

This paper is concerned with the problem of broadcasting information from a source node to every node in an ad-hoc network. Flooding, as a broadcast mechanism, involves each node forwarding any packet it receives to all its neighbours. This…

Information Theory · Computer Science 2019-01-11 Vinay Kumar B. R. , Roshan Antony , Navin Kashyap

We propose an information propagation model that captures important temporal aspects that have been well observed in the dynamics of fake news diffusion, in contrast with the diffusion of truth. The model accounts for differential…

Social and Information Networks · Computer Science 2022-06-24 Michael Simpson , Farnoosh Hashemi , Laks V. S. Lakshmanan

We introduce a novel alignment method for diffusion models from distribution optimization perspectives while providing rigorous convergence guarantees. We first formulate the problem as a generic regularized loss minimization over…

Machine Learning · Computer Science 2025-03-07 Ryotaro Kawata , Kazusato Oko , Atsushi Nitanda , Taiji Suzuki

Social network is a main tunnel of rumor spreading. Previous studies are concentrated on a static rumor spreading. The content of the rumor is invariable during the whole spreading process. Indeed, the rumor evolves constantly in its…

Physics and Society · Physics 2013-03-01 Yichao Zhang , Shi Zhou , Jihong Guan , Shuigeng Zhou
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