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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

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…

机器学习 · 统计学 2026-03-03 Christopher Chukwuemeka , Hojun You , Mikyoung Jun

Temporal point process serves as an essential tool for modeling time-to-event data in continuous time space. Despite having massive amounts of event sequence data from various domains like social media, healthcare etc., real world…

机器学习 · 计算机科学 2022-10-04 Manisha Dubey , P. K. Srijith , Maunendra Sankar Desarkar

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

We introduce the Hyperedge-triggered Hawkes (HTH) process for inferring higher-order interaction structure in multi-cellular systems from asynchronous event-time data. Beyond standard pairwise excitation, the HTH intensity includes a term…

统计方法学 · 统计学 2026-05-27 Zihan Xu

A temporal point process (TPP) is a stochastic process where its realization is a sequence of discrete events in time. Recent work in TPPs model the process using a neural network in a supervised learning framework, where a training set is…

机器学习 · 计算机科学 2023-01-31 Wonho Bae , Mohamed Osama Ahmed , Frederick Tung , Gabriel L. Oliveira

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

Recently proposed encoder-decoder structures for modeling Hawkes processes use transformer-inspired architectures, which encode the history of events via embeddings and self-attention mechanisms. These models deliver better prediction and…

机器学习 · 计算机科学 2022-02-07 Yamac Alican Isik , Connor Davis , Paidamoyo Chapfuwa , Ricardo Henao

This paper proposes a new meta-learning method -- named HARMLESS (HAwkes Relational Meta LEarning method for Short Sequences) for learning heterogeneous point process models from short event sequence data along with a relational network.…

机器学习 · 计算机科学 2019-09-06 Yujia Xie , Haoming Jiang , Feng Liu , Tuo Zhao , Hongyuan Zha

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…

机器学习 · 计算机科学 2022-05-09 Chenghao Yang , Hongyuan Mei , Jason Eisner

This paper focuses on the data-insufficiency problem in multi-task learning within an episodic training setup. Specifically, we explore the potential of heterogeneous information across tasks and meta-knowledge among episodes to effectively…

机器学习 · 计算机科学 2023-10-31 Jiayi Shen , Xiantong Zhen , Qi , Wang , Marcel Worring

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

The superposition of temporal point processes has been studied for many years, although the usefulness of such models for practical applications has not be fully developed. We investigate superposed Hawkes process as an important class of…

机器学习 · 统计学 2018-02-15 Hongteng Xu , Dixin Luo , Xu Chen , Lawrence Carin

Modeling event dynamics is central to many disciplines. Patterns in observed event arrival times are commonly modeled using point processes. Such event arrival data often exhibits self-exciting, heterogeneous and sporadic trends, which is…

应用统计 · 统计学 2021-08-16 Jing Wu , Owen G. Ward , James Curley , Tian Zheng

Asynchronous time series, also known as temporal event sequences, are the basis of many applications throughout different industries. Temporal point processes(TPPs) are the standard method for modeling such data. Existing TPP models have…

The multivariate Hawkes process (MHP) is widely used for analyzing data streams that interact with each other, where events generate new events within their own dimension (via self-excitation) or across different dimensions (via…

机器学习 · 计算机科学 2024-11-01 Pio Calderon , Alexander Soen , Marian-Andrei Rizoiu

The Hawkes process is used to model point process data where events occur in clusters and bursts. In a standard multivariate Hawkes process, every event that occurs in a dimension has an equal impact on the process intensity. However, this…

统计方法学 · 统计学 2026-05-05 Gordon J Ross , Isabella Deutsch

Multivariate time series forecasting plays a pivotal role in numerous real-world applications, including financial analysis, energy management, and traffic planning. While Transformer-based architectures have gained popularity for this…

机器学习 · 计算机科学 2026-05-01 Pourya Zamanvaziri , Amirhossein Sadr , Aida Pakniyat , Dara Rahmati

Detecting rare events, those defined to give rise to high impact but have a low probability of occurring, is a challenge in a number of domains including meteorological, environmental, financial and economic. The use of machine learning to…

应用统计 · 统计学 2022-09-13 Santhosh Narayanan , Carsten Maple , Mark Hooper

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…

机器学习 · 计算机科学 2017-06-09 Hongteng Xu , Dixin Luo , Hongyuan Zha