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Point process models are of great importance in real world applications. In certain critical applications, estimation of point process models involves large amounts of sensitive personal data from users. Privacy concerns naturally arise…

机器学习 · 计算机科学 2022-09-16 Simiao Zuo , Tianyi Liu , Tuo Zhao , Hongyuan Zha

Hawkes processes are a class of self-exciting point processes that are used to model complex phenomena. While most applications of Hawkes processes assume that event data occurs in continuous-time, the less-studied discrete-time version of…

应用统计 · 统计学 2023-06-01 Trinnhallen Brisley , Gordon Ross , Daniel Paulin , Jake Easto

The Hawkes process is a self-exciting sample point process. It has wide applications in finance, social networks, criminology, seismology, and many other fields. With the development of storage technology, data-driven models are attracting…

概率论 · 数学 2021-06-23 Haixu Wang

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 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…

机器学习 · 计算机科学 2021-04-23 Jayesh Malaviya

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

Hawkes process is a class of simple point processes that is self-exciting and has clustering effect. The intensity of this point process depends on its entire past history. It has wide applications in finance, insurance, neuroscience,…

概率论 · 数学 2018-03-28 Xuefeng Gao , Lingjiong Zhu

The Hawkes process is a simple point process with wide applications in finance, social networks, criminology, seismology, and many other fields. The Hawkes process is defined for continuous-time setting. However, data is also recorded in a…

概率论 · 数学 2021-06-23 Haixu Wang

Hawkes process is a class of simple point processes with self-exciting and clustering properties. Hawkes process has been widely applied in finance, neuroscience, social networks, criminology, seismology, and many other fields. In this…

概率论 · 数学 2018-11-05 Fuqing Gao , Lingjiong Zhu

Event-driven systems in fields such as neuroscience, social networks, and finance often exhibit dynamics influenced by continuously evolving external covariates. Motivated by these applications, we introduce a new class of multivariate…

统计理论 · 数学 2025-12-02 Maya Sadeler Perrin , Anna Bonnet , Charlotte Dion-Blanc , Adeline Samson

We consider the problem of learning the network of mutual excitations (i.e., the dependency graph) in a non-stationary, multivariate Hawkes process. We consider a general setting where baseline rates at each node are time-varying and delay…

统计理论 · 数学 2026-01-21 Elchanan Mossel , Anirudh Sridhar

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

Hawkes process is a class of simple point processes with self-exciting and clustering properties. Hawkes process has been widely applied in finance, neuroscience, social networks, criminology, seismology, and many other fields. In this…

概率论 · 数学 2020-11-23 Fuqing Gao , Lingjiong Zhu

Multivariate Hawkes Processes (MHPs) are an important class of temporal point processes that have enabled key advances in understanding and predicting social information systems. However, due to their complex modeling of temporal…

机器学习 · 计算机科学 2020-03-02 Maximilian Nickel , Matthew Le

Asynchronous events on the continuous time domain, e.g., social media actions and stock transactions, occur frequently in the world. The ability to recognize occurrence patterns of event sequences is crucial to predict which typeof events…

机器学习 · 计算机科学 2020-02-17 Qiang Zhang , Aldo Lipani , Omer Kirnap , Emine Yilmaz

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…

统计方法学 · 统计学 2026-05-12 Sacha Quayle , Anna Bonnet , Maxime Sangnier

Point processes are widely used statistical models for continuous-time discrete event data, such as medical records, crime reports, and social network interactions, to capture the influence of historical events on future occurrences. In…

机器学习 · 统计学 2026-01-13 Xiuyuan Cheng , Tingnan Gong , Yao Xie

In modern settings of data analysis, we may be running our algorithms on datasets that are sensitive in nature. However, classical machine learning and statistical algorithms were not designed with these risks in mind, and it has been…

数据结构与算法 · 计算机科学 2021-08-21 Huanyu Zhang

Hawkes process is a simple point process that is self-exciting and has clustering effect. The intensity of this point process depends on its entire past history. It has wide applications in finance, neuroscience, social networks,…

概率论 · 数学 2018-10-02 Xuefeng Gao , Lingjiong Zhu

An extension of the Hawkes process, the Marked Hawkes process distinguishes itself by featuring variable jump size across each event, in contrast to the constant jump size observed in a Hawkes process without marks. While extensive…

机器学习 · 统计学 2024-02-08 Sobin Joseph , Shashi Jain
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