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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…

Machine Learning · Computer Science 2021-06-10 Feng Zhou , Quyu Kong , Yixuan Zhang , Cheng Feng , Jun Zhu

The massive growth of sports videos has resulted in a need for automatic generation of sports highlights that are comparable in quality to the hand-edited highlights produced by broadcasters such as ESPN. Unlike previous works that mostly…

Multimedia · Computer Science 2016-06-30 Vinay Bettadapura , Caroline Pantofaru , Irfan Essa

Event sequences often emerge in data mining. Modeling these sequences presents two main challenges: methodological and computational. Methodologically, event sequences are non-uniform and sparse, making traditional models unsuitable.…

Learning causal structure among event types from discrete-time event sequences is a particularly important but challenging task. Existing methods, such as the multivariate Hawkes processes based methods, mostly boil down to learning the…

Machine Learning · Computer Science 2023-05-11 Jie Qiao , Ruichu Cai , Siyu Wu , Yu Xiang , Keli Zhang , Zhifeng Hao

As a powerful tool of asynchronous event sequence analysis, point processes have been studied for a long time and achieved numerous successes in different fields. Among various point process models, Hawkes process and its variants attract…

Machine Learning · Statistics 2017-08-31 Hongteng Xu , Hongyuan Zha

When the sample path of a Hawkes process is observed discretely, such that only the total event counts in disjoint time intervals are known, the likelihood function becomes intractable. To overcome the challenge of likelihood-based…

Methodology · Statistics 2025-06-24 Jason J. Lambe , Feng Chen , Tom Stindl , Tsz-Kit Jeffrey Kwan

Digital monitoring studies collect real-time high frequency data via mobile sensors in the subjects' natural environment. This data can be used to model the impact of changes in physiology on recurrent event outcomes such as smoking, drug…

Methodology · Statistics 2022-04-15 Walter Dempsey

We propose a new sparse Granger-causal learning framework for temporal event data. We focus on a specific class of point processes called the Hawkes process. We begin by pointing out that most of the existing sparse causal learning…

Machine Learning · Computer Science 2025-01-28 Tsuyoshi Idé , Georgios Kollias , Dzung T. Phan , Naoki Abe

Fueled in part by recent applications in neuroscience, the multivariate Hawkes process has become a popular tool for modeling the network of interactions among high-dimensional point process data. While evaluating the uncertainty of the…

Machine Learning · Statistics 2020-07-16 Xu Wang , Mladen Kolar , Ali Shojaie

The Hawkes process is a versatile stochastic model for point patterns that exhibit self-excitation, that is, the property that an event occurrence increases the rate of occurrence for some period of time in the future. We present a Bayesian…

Methodology · Statistics 2025-12-01 Hyotae Kim , Athanasios Kottas

In this paper, we study a discrete-time analogue of a Hawkes process, modelled as a Poisson autoregressive process whose parameters depend on the past of the trajectory. The model is characterized to allow these parameters to take negative…

Probability · Mathematics 2024-09-04 Manon Costa , Pascal Maillard , Anthony Muraro

Networks and temporal point processes serve as fundamental building blocks for modeling complex dynamic relational data in various domains. We propose the latent space Hawkes (LSH) model, a novel generative model for continuous-time…

Machine Learning · Computer Science 2022-07-08 Zhipeng Huang , Hadeel Soliman , Subhadeep Paul , Kevin S. Xu

Marked Temporal Point Processes (MTPPs) arise naturally in medical, social, commercial, and financial domains. However, existing Transformer-based methods mostly inject temporal information only via positional encodings, relying on shared…

Machine Learning · Computer Science 2026-03-25 Xinzi Tan , Kejian Zhang , Junhan Yu , Doudou Zhou

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

This paper presents CourtMotion, a spatiotemporal modeling framework for analyzing and predicting game events and plays as they develop in professional basketball. Anticipating basketball events requires understanding both physical motion…

Computer Vision and Pattern Recognition · Computer Science 2025-12-10 Omer Sela , Michael Chertok , Lior Wolf

It is a common practice in randomized clinical trials with the standard survival outcome to follow patients until a prespecified number of events have been observed, a type of trial known as the event-driven trial. The event-driven design…

Methodology · Statistics 2026-02-10 Jingwen Zhang , Satoshi Hattori

Training of elite athletes requires regular physiological and medical monitoring to plan the schedule, intensity and volume of training, and subsequent recovery. In sports medicine, ECG-based analyses are well established. However, they…

Applications · Statistics 2018-09-27 Marcel Młyńczak , Hubert Krysztofiak

This paper employs a Bayesian methodology to predict the results of soccer matches in real-time. Using sequential data of various events throughout the match, we utilize a multinomial probit regression in a novel framework to estimate the…

Applications · Statistics 2024-10-17 Chinmay Divekar , Soudeep Deb , Rishideep Roy

Modeling event patterns is a central task in a wide range of disciplines. In applications such as studying human activity patterns, events often arrive clustered with sporadic and long periods of inactivity. Such heterogeneity in event…

Applications · Statistics 2022-01-03 Jingfei Zhang , Biao Cai , Xuening Zhu , Hansheng Wang , Ganggang Xu , Yongtao Guan

Extreme events gain the attention of researchers due to their utmost importance in various contexts ranging from finance to climatology. This brings such recurrent events to the limelight of attention in interdisciplinary research. A…

Data Analysis, Statistics and Probability · Physics 2022-05-18 Sayantan Nag Chowdhury , Arnob Ray , Syamal K. Dana , Dibakar Ghosh
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