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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…

物理与社会 · 物理学 2020-07-22 Joseph D. O'Brien , Alberto Aleta , Yamir Moreno , James P. Gleeson

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…

社会与信息网络 · 计算机科学 2021-08-11 Ao Qu , Ismael Lemhadri

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…

机器学习 · 计算机科学 2021-01-05 Rafael Lima

The contagion dynamics can emerge in social networks when repeated activation is allowed. An interesting example of this phenomenon is retweet cascades where users allow to re-share content posted by other people with public accounts. To…

社会与信息网络 · 计算机科学 2020-11-03 Zbigniew Palmowski , Daria Puchalska

The Hawkes process, a self-exciting point process, has a wide range of applications in modeling earthquakes, social networks and stock markets. The established estimation process requires that researchers have access to the exact time…

统计方法学 · 统计学 2024-11-15 Lingxiao Zhou , Georgia Papadogeorgou

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…

机器学习 · 统计学 2017-10-10 Marian-Andrei Rizoiu , Young Lee , Swapnil Mishra , Lexing Xie

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…

社会与信息网络 · 计算机科学 2016-08-31 Swapnil Mishra , Marian-Andrei Rizoiu , Lexing Xie

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,…

社会与信息网络 · 计算机科学 2017-09-11 Marian-Andrei Rizoiu , Lexing Xie , Scott Sanner , Manuel Cebrian , Honglin Yu , Pascal Van Hentenryck

As a tool for capturing irregular temporal dependencies (rather than resorting to binning temporal observations to construct time series), Hawkes processes with exponential decay have seen widespread adoption across many application…

机器学习 · 计算机科学 2021-04-05 Tiago Santos , Florian Lemmerich , Denis Helic

The Hawkes process has become a standard method for modeling self-exciting event sequences with different event types. A recent work has generalized the Hawkes process to a neurally self-modulating multivariate point process, which enables…

机器学习 · 计算机科学 2020-06-16 Zhen Han , Yunpu Ma , Yuyi Wang , Stephan Günnemann , Volker Tresp

In this paper, we develop an efficient nonparametric Bayesian estimation of the kernel function of Hawkes processes. The non-parametric Bayesian approach is important because it provides flexible Hawkes kernels and quantifies their…

机器学习 · 计算机科学 2022-04-14 Rui Zhang , Christian Walder , Marian-Andrei Rizoiu , 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,…

社会与信息网络 · 计算机科学 2016-04-01 Ryota Kobayashi , Renaud Lambiotte

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…

社会与信息网络 · 计算机科学 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

Hawkes processes are a popular framework to model the occurrence of sequential events, i.e., occurrence dynamics, in several fields such as social diffusion. In real-world scenarios, the inter-arrival time among events is irregular.…

机器学习 · 计算机科学 2023-05-19 Minju Jo , Seungji Kook , Noseong Park

The Hawkes process is a class of point processes whose future depends on their own history. Previous theoretical work on the Hawkes process is limited to a special case in which a past event can only increase the occurrence of future…

统计方法学 · 统计学 2019-06-21 Shizhe Chen , Ali Shojaie , Eric Shea-Brown , Daniela Witten

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…

社会与信息网络 · 计算机科学 2016-11-23 Ali Zarezade , Ali Khodadadi , Mehrdad Farajtabar , Hamid R. Rabiee , Hongyuan Zha

Hawkes processes are a class of point processes that have the ability to model the self- and mutual-exciting phenomena. Although the classic Hawkes processes cover a wide range of applications, their expressive ability is limited due to…

机器学习 · 计算机科学 2021-06-10 Feng Zhou , Quyu Kong , Yixuan Zhang , Cheng Feng , Jun Zhu

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…

机器学习 · 统计学 2016-07-05 Eric C. Hall , Rebecca M. Willett

The Hawkes model is suitable for describing self and mutually exciting random events. In addition, the exponential decay in the Hawkes process allows us to calculate the moment properties in the model. However, due to the complexity of the…

统计金融 · 定量金融 2024-09-24 Kyungsub Lee

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…

机器学习 · 统计学 2016-10-20 Charalampos Mavroforakis , Isabel Valera , Manuel Gomez Rodriguez
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