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Hawkes processes are a self-exciting stochastic process used to describe phenomena whereby past events increase the probability of the occurrence of future events. This work presents a flexible approach for modelling a variant of these,…

Methodology · Statistics 2022-08-08 Raiha Browning , Judith Rousseau , Kerrie Mengersen

We present a computational approach for estimating emotion contagion on social media networks. Built on a foundation of psychology literature, our approach estimates the degree to which the perceivers' emotional states (positive or…

Social and Information Networks · Computer Science 2022-07-18 Trisha Mittal , Puneet Mathur , Rohan Chandra , Apurva Bhatt , Vikram Gupta , Debdoot Mukherjee , Aniket Bera , Dinesh Manocha

The Hawkes process and its extensions effectively model self-excitatory phenomena including earthquakes, viral pandemics, financial transactions, neural spike trains and the spread of memes through social networks. The usefulness of these…

Applications · Statistics 2020-05-21 Andrew J. Holbrook , Charles E. Loeffler , Seth R. Flaxman , Marc A. Suchard

How far and how fast does information spread in social media? Researchers have recently examined a number of factors that affect information diffusion in online social networks, including: the novelty of information, users' activity levels,…

Physics and Society · Physics 2016-11-15 Nathan Oken Hodas , Kristina Lerman

It is widely believed that information spread on social media is a percolation process, with parallels to phase transitions in theoretical physics. However, evidence for this hypothesis is limited, as phase transitions have not been…

Physics and Society · Physics 2021-03-05 Jiarong Xie , Fanhui Meng , Jiachen Sun , Xiao Ma , Gang Yan , Yanqing Hu

In this paper we model user behaviour in Twitter to capture the emergence of trending topics. For this purpose, we first extensively analyse tweet datasets of several different events. In particular, for these datasets, we construct and…

Social and Information Networks · Computer Science 2015-02-03 Marijn ten Thij , Tanneke Ouboter , Daniel Worm , Nelly Litvak , Hans van den Berg , Sandjai Bhulai

Spatio-temporal Hawkes point processes are a particularly interesting class of stochastic point processes for modeling self-exciting behavior, in which the occurrence of one event increases the probability of other events occurring. These…

Computation · Statistics 2025-11-19 Alba Bernabeu , Jorge Mateu

Diffusion processes in networks are increasingly used to model the spread of information and social influence. In several applications in computational sustainability such as the spread of wildlife, infectious diseases and traffic mobility…

Social and Information Networks · Computer Science 2013-09-27 Akshat Kumar , Daniel Sheldon , Biplav Srivastava

The present paper provides exact mathematical expressions for the high-order moments of spiking activity in a recurrently-connected network of linear Hawkes processes. It extends previous studies that have explored the case of a (linear)…

Neurons and Cognition · Quantitative Biology 2019-12-17 Matthieu Gilson , Jean-Pascal Pfister

Event-driven systems in fields such as neuroscience, social networks, and finance often exhibit dynamics influenced by continuously evolving external covariates. Motivated by these applications, we introduce a new class of multivariate…

Statistics Theory · Mathematics 2025-12-02 Maya Sadeler Perrin , Anna Bonnet , Charlotte Dion-Blanc , Adeline Samson

We present a stability study of the class of multivariate self-excited Hawkes point processes, that can model natural and social systems, including earthquakes, epileptic seizures and the dynamics of neuron assemblies, bursts of exchanges…

Statistical Mechanics · Physics 2015-05-27 A. Saichev , D. Sornette

Micro-blogging systems such as Twitter expose digital traces of social discourse with an unprecedented degree of resolution of individual behaviors. They offer an opportunity to investigate how a large-scale social system responds to…

Social and Information Networks · Computer Science 2012-04-24 Janette Lehmann , Bruno Gonçalves , José J. Ramasco , Ciro Cattuto

With the increasing abundance of 'digital footprints' left by human interactions in online environments, e.g., social media and app use, the ability to model complex human behavior has become increasingly possible. Many approaches have been…

Social and Information Networks · Computer Science 2019-01-28 David Darmon , William Rand , Michelle Girvan

Social media conversations unfold based on complex interactions between users, topics and time. While recent models have been proposed to capture network strengths between users, users' topical preferences and temporal patterns between…

Machine Learning · Computer Science 2018-09-13 Srikanta Bedathur , Indrajit Bhattacharya , Jayesh Choudhari , Anirban Dasgupta

Community structure is an important factor in the behavior of real-world networks because it strongly affects the stability and thus the phase transition order of the spreading dynamics. We here propose a reversible social contagion model…

Physics and Society · Physics 2018-06-13 Zhen Su , Wei Wang , Lixiang Li , H. Eugene Stanley , Lidia A. Braunstein

We introduce a new type of point process model to describe the incidence of contagious diseases. The model is a variant of the Hawkes self-exciting process and exhibits similar clustering but without the restriction that the component…

Methodology · Statistics 2017-03-27 Frederic Schoenberg , Marc Hoffmann , Ryan Harrigan

Understanding the diffusion in social network is an important task. However, this task is challenging since (1) the network structure is usually hidden with only observations of events like "post" or "repost" associated with each node, and…

Social and Information Networks · Computer Science 2018-09-21 Peiyuan Suny , Jianxin Li , Yongyi Mao , Richong Zhang , Lihong Wang

Contagion models are a primary lens through which we understand the spread of information over social networks. However, simple contagion models cannot reproduce the complex features observed in real-world data, leading to research on more…

Physics and Society · Physics 2020-02-27 Tyson Pond , Saranzaya Magsarjav , Tobin South , Lewis Mitchell , James P. Bagrow

In a diversified context with multiple social networking sites, heterogeneous activity patterns and different user-user relations, the concept of "information cascade" is all but univocal. Despite the fact that such information cascades can…

Physics and Society · Physics 2013-03-20 Raquel A Baños , Javier Borge-Holthoefer , Yamir Moreno

Accessing the network through which a propagation dynamics diffuse is essential for understanding and controlling it. In a few cases, such information is available through direct experiments or thanks to the very nature of propagation data.…

Physics and Society · Physics 2020-12-15 Alfredo Braunstein , Alessandro Ingrosso , Anna Paola Muntoni