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We propose an effective method to solve the event sequence clustering problems based on a novel Dirichlet mixture model of a special but significant type of point processes --- Hawkes process. In this model, each event sequence belonging to…

机器学习 · 计算机科学 2017-09-22 Hongteng Xu , Hongyuan Zha

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

Hawkes processes are a popular framework to model the occurrence of sequential events, i.e., occurrence dynamics, in several fields such as social diffusion. In real-world scenarios, the inter-arrival time among events is irregular.…

机器学习 · 计算机科学 2023-05-19 Minju Jo , Seungji Kook , Noseong Park

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

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…

机器学习 · 计算机科学 2026-03-03 Songyao Jin , Biwei Huang

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…

机器学习 · 计算机科学 2023-05-11 Jie Qiao , Ruichu Cai , Siyu Wu , Yu Xiang , Keli Zhang , Zhifeng Hao

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

Traditional perturbative statistical disclosure control (SDC) approaches such as microaggregation, noise addition, rank swapping, etc, perturb the data in an ``ad-hoc" way in the sense that while they manage to preserve some particular…

应用统计 · 统计学 2023-11-14 Elias Chaibub Neto

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…

机器学习 · 统计学 2020-07-16 Xu Wang , Mladen Kolar , Ali Shojaie

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

Learning the causal-interaction network of multivariate Hawkes processes is a useful task in many applications. Maximum-likelihood estimation is the most common approach to solve the problem in the presence of long observation sequences.…

机器学习 · 计算机科学 2019-11-04 Farnood Salehi , William Trouleau , Matthias Grossglauser , Patrick Thiran

The Hawkes process is a widely used model in many areas, such as finance, seismology, neuroscience, epidemiology, and social sciences. Estimation of the Hawkes process from continuous observations of a sample path is relatively…

统计方法学 · 统计学 2024-01-23 Feng Chen , Jeffrey Kwan , Tom Stindl

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…

机器学习 · 统计学 2017-08-31 Hongteng Xu , Hongyuan Zha

We consider the learning of multi-agent Hawkes processes, a model containing multiple Hawkes processes with shared endogenous impact functions and different exogenous intensities. In the framework of stochastic maximum likelihood…

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

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

We propose a simulation method for multidimensional Hawkes processes based on superposition theory of point processes. This formulation allows us to design efficient simulations for Hawkes processes with differing exponentially decaying…

机器学习 · 统计学 2018-03-14 Kar Wai Lim , Young Lee , Leif Hanlen , Hongbiao Zhao

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

We investigate spatio-temporal event analysis using point processes. Inferring the dynamics of event sequences spatiotemporally has many practical applications including crime prediction, social media analysis, and traffic forecasting. In…

机器学习 · 计算机科学 2021-02-17 Fatih Ilhan , Suleyman Serdar Kozat

We propose an extension to Hawkes processes by treating the levels of self-excitation as a stochastic differential equation. Our new point process allows better approximation in application domains where events and intensities accelerate…

机器学习 · 计算机科学 2016-09-23 Young Lee , Kar Wai Lim , Cheng Soon Ong

The self-exciting Hawkes process is widely used to model events which occur in bursts. However, many real world data sets contain missing events and/or noisily observed event times, which we refer to as data distortion. The presence of such…

应用统计 · 统计学 2021-06-03 Isabella Deutsch , Gordon J. Ross
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