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Self-exciting processes of Hawkes type have been used to model various phenomena including earthquakes, neural activities, and views of online videos. Studies of temporal networks have revealed that sequences of social interevent times for…

Physics and Society · Physics 2015-06-05 Naoki Masuda , Taro Takaguchi , Nobuo Sato , Kazuo Yano

We introduce a stochastic model which describes diffusions of tweets on the Twitter network. By dividing the followers into generations, we describe the dynamics of the tweet diffusion as a random multiplicative process. We confirm our…

Physics and Society · Physics 2015-06-11 Tatsuro Kawamoto

The occurrence of new events in a system is typically driven by external causes and by previous events taking place inside the system. This is a general statement, applying to a range of situations including, more recently, to the activity…

Physics and Society · Physics 2018-11-21 Kazuki Fujita , Alexey Medvedev , Shinsuke Koyama , Renaud Lambiotte , Shigeru Shinomoto

Across a wide variety of applications, the self-exciting Hawkes process has been used to model phenomena in which the history of events influences future occurrences. However, there may be many situations in which the past events only…

Probability · Mathematics 2021-01-12 Andrew Daw , Jamol Pender

The spread of ideas across a social network can be studied using complex contagion models, in which agents are activated by contact with multiple activated neighbors. The investigation of complex contagions can provide crucial insights into…

Social and Information Networks · Computer Science 2015-03-19 Sergey Melnik , Jonathan A. Ward , James P. Gleeson , Mason A. Porter

Modern social media platforms facilitate the rapid spread of information online. Modelling phenomena such as social contagion and information diffusion are contingent upon a detailed understanding of the information-sharing processes. In…

Physics and Society · Physics 2018-05-22 Peter Mathews , Lewis Mitchell , Giang T. Nguyen , Nigel G. Bean

Fake news has emerged as a pervasive problem within Online Social Networks, leading to a surge of research interest in this area. Understanding the dissemination mechanisms of fake news is crucial in comprehending the propagation of…

Social and Information Networks · Computer Science 2023-08-29 Yichen Jiang , Michael D. Porter

The Hawks process is a point process with a self-exciting property. It has been used to model earthquakes, social media events, infections, etc., and is getting a lot of attention. However, as a real problem, there are often situations…

Statistics Theory · Mathematics 2021-07-30 Masatoshi Goda

It is commonly believed that information spreads between individuals like a pathogen, with each exposure by an informed friend potentially resulting in a naive individual becoming infected. However, empirical studies of social media suggest…

Social and Information Networks · Computer Science 2014-03-24 Nathan O. Hodas , Kristina Lerman

It is well-known that online behavior is long-tailed, with most cascaded actions being short and a few being very long. A prominent drawback in generative models for online events is the inability to describe unpopular items well. This work…

Social and Information Networks · Computer Science 2020-08-18 Quyu Kong , Marian-Andrei Rizoiu , Lexing Xie

Understanding cascading processes on complex network topologies is paramount for modelling how diseases, information, fake news and other media spread. In this paper, we extend the multi-type branching process method developed in Keating et…

Physics and Society · Physics 2022-12-02 Leah A. Keating , James P. Gleeson , David J. P. O'Sullivan

Targeting a better understanding of credit market dynamics, the authors have studied a stochastic model named the Hawkes process. Describing trades arrival times, this kind of model allows for the capture of self-excitement and mutual…

Applications · Statistics 2019-02-12 Achraf Bahamou , Maud Doumergue , Philippe Donnat

Modeling and predicting the popularity of online content is a significant problem for the practice of information dissemination, advertising, and consumption. Recent work analyzing massive datasets advances our understanding of popularity,…

Social and Information Networks · Computer Science 2017-09-11 Marian-Andrei Rizoiu , Lexing Xie , Scott Sanner , Manuel Cebrian , Honglin Yu , Pascal Van Hentenryck

The advent of the era of Big Data has allowed many researchers to dig into various socio-technical systems, including social media platforms. In particular, these systems have provided them with certain verifiable means to look into certain…

Social and Information Networks · Computer Science 2015-08-31 Hoai Nguyen Huynh , Erika Fille Legara , Christopher Monterola

We study by computer simulation the "Hawkes process" that was proposed in a recent paper by Crane and Sornette (Proc. Nat. Acad. Sci. USA 105, 15649 (2008)) as a plausible model for the dynamics of YouTube video viewing numbers. We test the…

Physics and Society · Physics 2010-01-05 Lawrence Mitchell , Michael E. Cates

Multivariate point processes are widely applied to model event-type data such as natural disasters, online message exchanges, financial transactions or neuronal spike trains. One very popular point process model in which the probability of…

Statistics Theory · Mathematics 2023-01-27 Deborah Sulem , Vincent Rivoirard , Judith Rousseau

False rumors are known to have detrimental effects on society. To prevent the spread of false rumors, social media platforms such as Twitter must detect them early. In this work, we develop a novel probabilistic mixture model that…

Social and Information Networks · Computer Science 2022-04-05 Christof Naumzik , Stefan Feuerriegel

The ability to model and predict the popularity dynamics of individual user generated items on online media has important implications in a wide range of areas. In this paper, we propose a probabilistic model using a Self-Excited Hawkes…

Social and Information Networks · Computer Science 2015-03-11 Peng Bao , Hua-Wei Shen , Xiaolong Jin , Xue-Qi Cheng

With the growing digital transformation of the worldwide economy, cyber risk has become a major issue. As 1 % of the world's GDP (around $1,000 billion) is allegedly lost to cybercrime every year, IT systems continue to get increasingly…

Statistics Theory · Mathematics 2023-11-28 Alexandre Boumezoued , Yousra Cherkaoui , Caroline Hillairet

Our understanding of the dynamics of complex networked systems has increased significantly in the last two decades. However, most of our knowledge is built upon assuming pairwise relations among the system's components. This is often an…

Physics and Society · Physics 2020-04-15 Guilherme Ferraz de Arruda , Giovanni Petri , Yamir Moreno