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Previous work has shown that popular trending events are important external factors which pose significant influence on user search behavior and also provided a way to computationally model this influence. However, their problem formulation…

Machine Learning · Computer Science 2019-03-05 Shubhra Kanti Karmaker Santu , Liangda Li , Yi Chang , ChengXiang Zhai

Modelling and forecasting the occurrence of extreme events is especially difficult when the event process is nonstationary, with changes in both the rate at which extremes occur and the magnitude of the extremes when they occur. We approach…

Methodology · Statistics 2026-05-06 Gordon J. Ross , Dean Markwick

Multivariate Hawkes processes are past-dependant point processes originally introduced to model excitation effects, later extended to a nonlinear framework to account for the opposite effect, known as inhibition. Motivated by applications…

Methodology · Statistics 2026-05-12 Sacha Quayle , Anna Bonnet , Maxime Sangnier

Predicting discrete events in time and space has many scientific applications, such as predicting hazardous earthquakes and outbreaks of infectious diseases. History-dependent spatio-temporal Hawkes processes are often used to…

Machine Learning · Computer Science 2023-01-31 Negar Erfanian , Santiago Segarra , Maarten de Hoop

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

Many real-world applications require robust algorithms to learn point processes based on a type of incomplete data --- the so-called short doubly-censored (SDC) event sequences. We study this critical problem of quantitative asynchronous…

Machine Learning · Computer Science 2017-06-09 Hongteng Xu , Dixin Luo , Hongyuan Zha

Multivariate Hawkes process provides a powerful framework for modeling temporal dependencies and event-driven interactions in complex systems. While existing methods primarily focus on uncovering causal structures among observed…

Machine Learning · Computer Science 2026-03-03 Songyao Jin , Biwei Huang

Point process models are widely used for continuous asynchronous event data, where each data point includes time and additional information called "marks", which can be locations, nodes, or event types. This paper presents a novel point…

Machine Learning · Statistics 2024-11-12 Zheng Dong , Matthew Repasky , Xiuyuan Cheng , Yao Xie

The neural Hawkes process (Mei & Eisner, 2017) is a generative model of irregularly spaced sequences of discrete events. To handle complex domains with many event types, Mei et al. (2020a) further consider a setting in which each event in…

Machine Learning · Computer Science 2022-05-09 Chenghao Yang , Hongyuan Mei , Jason Eisner

We propose a novel probabilistic framework to model continuous-time interaction events data. Our goal is to infer the \emph{implicit} community structure underlying the temporal interactions among entities, and also to exploit how the…

Social and Information Networks · Computer Science 2020-06-24 Sikun Yang , Heinz Koeppl

This paper develops a general framework for stochastic modeling of goals and other events in football (soccer) matches. The events are modelled as Cox processes (doubly stochastic Poisson processes) where the event intensities may depend on…

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

This study explores contagion in the Chinese stock market using Hawkes processes to analyze autocorrelation and cross-correlation in multivariate time series data. We examine whether market indices exhibit trending behavior and whether…

Statistical Finance · Quantitative Finance 2025-12-10 Junwei Yang

Student procrastination and cramming for deadlines are major challenges in online learning environments, with negative educational and well-being side effects. Modeling student activities in continuous time and predicting their next study…

Machine Learning · Computer Science 2021-02-02 Mengfan Yao , Siqian Zhao , Shaghayegh Sahebi , Reza Feyzi Behnagh

Hawkes processes are point process models that have been used to capture self-excitatory behavior in social interactions, neural activity, earthquakes and viral epidemics. They can model the occurrence of the times and locations of events.…

Machine Learning · Statistics 2022-10-24 Xenia Miscouridou , Samir Bhatt , George Mohler , Seth Flaxman , Swapnil Mishra

We propose a Multivariate Spatio-Temporal Neural Hawkes Process for modeling complex multivariate event data with spatio-temporal dynamics. The proposed model extends continuous-time neural Hawkes processes by integrating spatial…

Machine Learning · Statistics 2026-03-03 Christopher Chukwuemeka , Hojun You , Mikyoung Jun

A multivariate Hawkes process enables self- and cross-excitations through a triggering matrix that behaves like an asymmetrical covariance structure, characterizing pairwise interactions between the event types. Full-rank estimation of all…

Machine Learning · Statistics 2022-04-26 Myrl G. Marmarelis , Greg Ver Steeg , Aram Galstyan

Hawkes Processes capture self-excitation and mutual-excitation between events when the arrival of an event makes future events more likely to happen. Identification of such temporal covariance can reveal the underlying structure to better…

Machine Learning · Computer Science 2020-06-03 Rafael Lima , Jaesik Choi

In this paper, we propose an event-driven Limit Order Book (LOB) model that captures twelve of the most observed LOB events in exchange-based financial markets. To model these events, we propose using the state-of-the-art Neural Hawkes…

Computational Finance · Quantitative Finance 2025-09-19 Luca Lalor , Anatoliy Swishchuk

Temporal graph representation learning has drawn significant attention for the prevalence of temporal graphs in the real world. However, most existing works resort to taking discrete snapshots of the temporal graph, or are not inductive to…

Social and Information Networks · Computer Science 2022-03-29 Zhihao Wen , Yuan Fang