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This chapter provides an accessible introduction for point processes, and especially Hawkes processes, for modeling discrete, inter-dependent events over continuous time. We start by reviewing the definitions and the key concepts in point…

Machine Learning · Statistics 2017-10-10 Marian-Andrei Rizoiu , Young Lee , Swapnil Mishra , Lexing Xie

Online social networking services allow their users to post content in the form of text, images or videos. The main mechanism driving content diffusion is the possibility for users to re-share the content posted by their social connections,…

Social and Information Networks · Computer Science 2016-04-01 Ryota Kobayashi , Renaud Lambiotte

The rapid growth of social media has been witnessed during recent years as a result of the prevalence of the internet. This trend brings an increasing interest in simulating social media which can provide valuable insights to both academic…

Social and Information Networks · Computer Science 2021-08-11 Ao Qu , Ismael Lemhadri

Modeling online discourse dynamics is a core activity in understanding the spread of information, both offline and online, and emergent online behavior. There is currently a disconnect between the practitioners of online social media…

Social and Information Networks · Computer Science 2021-03-15 Quyu Kong , Rohit Ram , Marian-Andrei Rizoiu

Information diffusion occurs on microblogging platforms like Twitter as retweet cascades. When a tweet is posted, it may be retweeted and henceforth further retweeted, and the retweeting process continues iteratively and indefinitely. A…

Applications · Statistics 2018-04-20 Feng Chen , Wai Hong Tan

The Hawkes process has garnered attention in recent years for its suitability to describe the behavior of online information cascades. Here, we present a fully tractable approach to analytically describe the distribution of the number of…

Physics and Society · Physics 2020-07-22 Joseph D. O'Brien , Alberto Aleta , Yamir Moreno , James P. Gleeson

Cascading chains of events are a salient feature of many real-world social, biological, and financial networks. In social networks, social reciprocity accounts for retaliations in gang interactions, proxy wars in nation-state conflicts, or…

Machine Learning · Statistics 2016-07-05 Eric C. Hall , Rebecca M. Willett

Hawkes Processes are a type of point process which models self-excitement among time events. It has been used in a myriad of applications, ranging from finance and earthquakes to crime rates and social network activity analysis.Recently, a…

Machine Learning · Computer Science 2021-01-05 Rafael Lima

Models of contagion dynamics, originally developed for infectious diseases, have proven relevant to the study of information, news, and political opinions in online social systems. Modelling diffusion processes and predicting viral…

Physics and Society · Physics 2019-06-19 Weihua Li , Skyler J. Cranmer , Zhiming Zheng , Peter J. Mucha

Social networking websites allow users to create and share content. Big information cascades of post resharing can form as users of these sites reshare others' posts with their friends and followers. One of the central challenges in…

Social and Information Networks · Computer Science 2016-01-28 Qingyuan Zhao , Murat A. Erdogdu , Hera Y. He , Anand Rajaraman , Jure Leskovec

In real world social networks, there are multiple cascades which are rarely independent. They usually compete or cooperate with each other. Motivated by the reinforcement theory in sociology we leverage the fact that adoption of a user to…

Social and Information Networks · Computer Science 2016-11-23 Ali Zarezade , Ali Khodadadi , Mehrdad Farajtabar , Hamid R. Rabiee , Hongyuan Zha

Events in an online social network can be categorized roughly into endogenous events, where users just respond to the actions of their neighbors within the network, or exogenous events, where users take actions due to drives external to the…

Social and Information Networks · Computer Science 2014-08-20 Mehrdad Farajtabar , Nan Du , Manuel Gomez Rodriguez , Isabel Valera , Hongyuan Zha , Le Song

The emergence of online social platforms, such as social networks and social media, has drastically affected the way people apprehend the information flows to which they are exposed. In such platforms, various information cascades spreading…

Social and Information Networks · Computer Science 2026-03-11 Gaspard Abel , Argyris Kalogeratos , Jean-Pierre Nadal , Julien Randon-Furling

It has recently become possible to study the dynamics of information diffusion in techno-social systems at scale, due to the emergence of online platforms, such as Twitter, with millions of users. One question that systematically recurs is…

Physics and Society · Physics 2017-11-01 Bjarke Mønsted , Piotr Sapieżyński , Emilio Ferrara , Sune Lehmann

Among the statistical tools for online information diffusion modeling, both epidemic models and Hawkes point processes are popular choices. The former originate from epidemiology, and consider information as a viral contagion which spreads…

Social and Information Networks · Computer Science 2018-05-18 Marian-Andrei Rizoiu , Swapnil Mishra , Quyu Kong , Mark Carman , Lexing Xie

We propose a novel class of network models for temporal dyadic interaction data. Our goal is to capture a number of important features often observed in social interactions: sparsity, degree heterogeneity, community structure and…

Machine Learning · Statistics 2018-10-30 Xenia Miscouridou , François Caron , Yee Whye Teh

Demonstrations, protests, riots, and shifts in public opinion respond to the coordinating potential of communication networks. Digital technologies have turned interpersonal networks into massive, pervasive structures that constantly…

Physics and Society · Physics 2017-03-14 Pablo Piedrahita , Javier Borge-Holthoefer , Yamir Moreno , Sandra González-Bailón

Online boards offer a platform for sharing and discussing content, where discussion emerges as a cascade of comments in response to a post. Branching point process models offer a practical approach to modelling these cascades; however,…

Applications · Statistics 2025-01-24 Joe Meagher , Nial Friel

There has been much effort on studying how social media sites, such as Twitter, help propagate information in different situations, including spreading alerts and SOS messages in an emergency. However, existing work has not addressed how to…

Social and Information Networks · Computer Science 2014-07-15 Kyumin Lee , Jalal Mahmud , Jilin Chen , Michelle Zhou , Jeffrey Nichols

Predicting popularity, or the total volume of information outbreaks, is an important subproblem for understanding collective behavior in networks. Each of the two main types of recent approaches to the problem, feature-driven and generative…

Social and Information Networks · Computer Science 2016-08-31 Swapnil Mishra , Marian-Andrei Rizoiu , Lexing Xie
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