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The Hawkes self-excited point process provides an efficient representation of the bursty intermittent dynamics of many physical, biological, geological and economic systems. By expressing the probability for the next event per unit time…

Statistical Mechanics · Physics 2020-09-23 Kiyoshi Kanazawa , Didier Sornette

The focus of this work is on developing probabilistic models for user activity in social networks by incorporating the social network influence as perceived by the user. For this, we propose a coupled Hidden Markov Model, where each user's…

Physics and Society · Physics 2013-05-10 Vasanthan Raghavan , Greg Ver Steeg , Aram Galstyan , Alexander G. Tartakovsky

People are increasingly relying on the Web and social media to find solutions to their problems in a wide range of domains. In this online setting, closely related problems often lead to the same characteristic learning pattern, in which…

Machine Learning · Statistics 2016-10-20 Charalampos Mavroforakis , Isabel Valera , Manuel Gomez Rodriguez

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

Edge-caching is recognized as an efficient technique for future wireless cellular networks to improve network capacity and user-perceived quality of experience. Due to the random content requests and the limited cache memory, designing an…

Signal Processing · Electrical Eng. & Systems 2019-05-27 Sajad Mehrizi , Anestis Tsakmalis , Symeon Chatzinotas , Bjorn Ottersten

The multivariate Hawkes process is a past-dependent point process used to model the relationship of event occurrences between different phenomena.Although the Hawkes process was originally introduced to describe excitation effects, which…

Methodology · Statistics 2023-06-30 Anna Bonnet , Miguel Martinez Herrera , Maxime Sangnier

Predicting the popularity of online content on social platforms is an important task for both researchers and practitioners. Previous methods mainly leverage demographics, temporal and structural patterns of early adopters for popularity…

Social and Information Networks · Computer Science 2019-11-28 Qi Cao , Huawei Shen , Jinhua Gao , Bingzheng Wei , Xueqi Cheng

This work focuses on a self-exciting point process defined by a Hawkes-like intensity and a switching mechanism based on a hidden Markov chain. Previous works in such a setting assume constant intensities between consecutive events. We…

Methodology · Statistics 2025-02-07 Timothée Fabre , Ioane Muni Toke

There has been a tremendous rise in the growth of online social networks all over the world in recent years. It has facilitated users to generate a large amount of real-time content at an incessant rate, all competing with each other to…

Social and Information Networks · Computer Science 2013-12-04 Louis Lei Yu , Sitaram Asur , Bernardo A. Huberman

Online popularity has enormous impact on opinions, culture, policy, and profits. We provide a quantitative, large scale, temporal analysis of the dynamics of online content popularity in two massive model systems, the Wikipedia and an…

We propose a novel modeling framework for time-evolving networks allowing for long-term dependence in network features that update in continuous time. Dynamic network growth is functionally parameterized via the conditional intensity of a…

Methodology · Statistics 2026-03-20 Duncan A Clark , Conor J. Kresin , Charlotte M. Jones-Todd

The rapid development of social media has significantly reshaped the dynamics of public opinion, resulting in complex interactions that traditional models fail to effectively capture. To address this challenge, we propose an innovative…

Social and Information Networks · Computer Science 2025-04-22 Yulong Li , Zhixiang Lu , Feilong Tang , Simin Lai , Ming Hu , Yuxuan Zhang , Haochen Xue , Zhaodong Wu , Imran Razzak , Qingxia Li , Jionglong Su

The event sequence of many diverse systems is represented as a sequence of discrete events in a continuous space. Examples of such an event sequence are earthquake aftershock events, financial transactions, e-commerce transactions, social…

Machine Learning · Computer Science 2021-04-23 Jayesh Malaviya

This study applies dynamical and statistical modeling techniques to quantify the proliferation and popularity of trending hashtags on Twitter. Using time-series data reflecting actual tweets in New York City and San Francisco, we present…

Social and Information Networks · Computer Science 2016-09-21 Jonathan Skaza , Brian Blais

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

Information spreading has been studied for decades, but its underlying mechanism is still under debate, especially for those ones spreading extremely fast through Internet. By focusing on the information spreading data of six typical events…

Physics and Society · Physics 2018-05-08 Jiao Wu , Muhua Zheng , Zi-Ke Zhang , Wei Wang , Changgui Gu , Zonghua Liu

If people with high risk of suicide can be identified through social media like microblog, it is possible to implement an active intervention system to save their lives. Based on this motivation, the current study administered the Suicide…

Social and Information Networks · Computer Science 2014-11-05 Lei Zhang , Xiaolei Huang , Tianli Liu , Zhenxiang Chen , Tingshao Zhu

The ability to predict the size of information cascades in online social networks is crucial for various applications, including decision-making and viral marketing. However, traditional methods either rely on complicated time-varying…

Social and Information Networks · Computer Science 2023-06-22 Wu Leilei , Yi Lingling , Ren Xiao-Long , {Lü} Linyuan

Peer influence and social contagion are key denominators in the adoption and participation of information spreading, such as news propagation, word-of-mouth or viral marketing. In this study, we argue that it is biased to only focus on the…

Physics and Society · Physics 2019-07-30 Xin Lu , Shuo Qin , Petter Holme , Fanhui Meng , Yanqing Hu , Fredrik Liljeros , Gad Allon

Popularity of content in social media is unequally distributed, with some items receiving a disproportionate share of attention from users. Predicting which newly-submitted items will become popular is critically important for both…

Computers and Society · Computer Science 2010-04-30 Kristina Lerman , Tad Hogg