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Gun violence and mass shootings are high-profile epidemiological issues facing the United States with questions regarding their contagiousness gaining prevalence in news media. Through the use of nonparametric Hawkes processes, we examine…

Applications · Statistics 2021-06-09 Peter Boyd , James Molyneux

Over the past years, political events and public opinion on the Web have been allegedly manipulated by accounts dedicated to spreading disinformation and performing malicious activities on social media. These accounts hereafter referred to…

Social and Information Networks · Computer Science 2019-02-07 Hamidreza Alvari , Paulo Shakarian

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

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

False rumors are known to have detrimental effects on society. To prevent the spread of false rumors, social media platforms such as Twitter must detect them early. In this work, we develop a novel probabilistic mixture model that…

Social and Information Networks · Computer Science 2022-04-05 Christof Naumzik , Stefan Feuerriegel

Video sharing and entertainment websites have rapidly grown in popularity and now constitute some of the most visited websites on the Internet. Despite the active user engagement on these online video-sharing platforms, most of recent…

Human-Computer Interaction · Computer Science 2017-06-13 Rishabh Mehrotra , Prasanta Bhattacharya

Event sequence, asynchronously generated with random timestamp, is ubiquitous among applications. The precise and arbitrary timestamp can carry important clues about the underlying dynamics, and has lent the event data fundamentally…

Machine Learning · Computer Science 2017-05-26 Shuai Xiao , Junchi Yan , Stephen M. Chu , Xiaokang Yang , Hongyuan Zha

We aim to explicitly model the delayed Granger causal effects based on multivariate Hawkes processes. The idea is inspired by the fact that a causal event usually takes some time to exert an effect. Studying this time lag itself is of…

Machine Learning · Computer Science 2023-08-14 Chao Yang , Hengyuan Miao , Shuang Li

Fake news can have a significant negative impact on society because of the growing use of mobile devices and the worldwide increase in Internet access. It is therefore essential to develop a simple mathematical model to understand the…

Social and Information Networks · Computer Science 2021-04-28 Taichi Murayama , Shoko Wakamiya , Eiji Aramaki , Ryota Kobayashi

Many real-world objects can be modeled as a stream of events on the nodes of a graph. In this paper, we propose a class of graphical event models named temporal point process graphical models for representing the temporal dependencies among…

Methodology · Statistics 2021-10-25 Yalong Lyu , Huiyuan Wang , Wei Lin

We generalise the construction of multivariate Hawkes processes to a possibly infinite network of counting processes on a directed graph $\mathbb G$. The process is constructed as the solution to a system of Poisson driven stochastic…

Probability · Mathematics 2014-03-25 Sylvain Delattre , Nicolas Fournier , Marc Hoffmann

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

Hawkes processes are point processes with self-exciting and clustering properties that are popular in applications. In recent years, renewal Hawkes processes have gained attention, due to their versatility such as the capability of…

Probability · Mathematics 2025-12-09 Lirong Cui , Yongji Zhang , Lingjiong Zhu

Multi-dimensional Hawkes process (MHP) is a class of self and mutually exciting point processes that find wide range of applications -- from prediction of earthquakes to modelling of order books in high frequency trading. This paper makes…

Machine Learning · Statistics 2020-06-05 Sobin Joseph , Lekhapriya Dheeraj Kashyap , Shashi Jain

The paper constructs a multi-variate Hawkes process model of Bitcoin block arrivals and price jumps. Hawkes processes are selfexciting point processes that can capture the self- and cross-excitation effects of block mining and Bitcoin price…

Networking and Internet Architecture · Computer Science 2022-04-01 Rui Luo , Vikram Krishnamurthy , Erik Blasch

In the last decade, Hawkes processes have received a lot of attention as good models for functional connectivity in neural spiking networks. In this paper we consider a variant of this process, the Age Dependent Hawkes process, which…

Probability · Mathematics 2019-10-08 Mads Bonde Raad , Susanne Ditlevsen , Eva Löcherbach

Human activities generate various event sequences such as taxi trip records, bike-sharing pick-ups, crime occurrence, and infectious disease transmission. The point process is widely used in many applications to predict such events related…

Machine Learning · Computer Science 2024-01-30 Yoshiaki Takimoto , Yusuke Tanaka , Tomoharu Iwata , Maya Okawa , Hideaki Kim , Hiroyuki Toda , Takeshi Kurashima

Interval-censored data solely records the aggregated counts of events during specific time intervals - such as the number of patients admitted to the hospital or the volume of vehicles passing traffic loop detectors - and not the exact…

Machine Learning · Computer Science 2022-11-29 Marian-Andrei Rizoiu , Alexander Soen , Shidi Li , Pio Calderon , Leanne Dong , Aditya Krishna Menon , Lexing Xie

This paper introduces the Neural Network for Nonlinear Hawkes processes (NNNH), a non-parametric method based on neural networks to fit nonlinear Hawkes processes. Our method is suitable for analyzing large datasets in which events exhibit…

Machine Learning · Statistics 2023-03-07 Sobin Joseph , Shashi Jain

We introduce a class of hybrid marked point processes, which encompasses and extends continuous-time Markov chains and Hawkes processes. While this flexible class amalgamates such existing processes, it also contains novel processes with…

Probability · Mathematics 2021-01-06 Maxime Morariu-Patrichi , Mikko S. Pakkanen
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