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Multivariate Hawkes processes are commonly used to model streaming networked event data in a wide variety of applications. However, it remains a challenge to extract reliable inference from complex datasets with uncertainty quantification.…

Machine Learning · Statistics 2020-10-29 Haoyun Wang , Liyan Xie , Alex Cuozzo , Simon Mak , Yao Xie

Temporal Point Processes (TPPs), especially Hawkes Process are commonly used for modeling asynchronous event sequences data such as financial transactions and user behaviors in social networks. Due to the strong fitting ability of neural…

Machine Learning · Computer Science 2024-05-14 Anningzhe Gao , Shan Dai

In recent years there has been a substantial increase in the availability of datasets which contain information about the location and timing of an event or group of events and the application of methods to analyse spatio-temporal datasets…

Methodology · Statistics 2019-10-02 Nik Lomax , Nick Malleson , Le-Minh Kieu

Spatiotemporal forecasting is critical for real-world applications like traffic management, yet capturing reliable interactions remains challenging under noisy and non-stationary conditions. Existing methods primarily rely on historical…

Machine Learning · Computer Science 2026-05-20 Yinghao Ai , Yukai Zhou , Ruoxi Jiang , Junyi An , Chao Qu , Zhijian Zhou , Shiyu Wang , Fenglei Cao , Zenglin Xu , Furao Shen , Yuan Qi

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

Patient healthcare utilization consists of irregularly time-stamped events, such as outpatient visits, inpatient admissions, and emergency encounters, forming individualized care trajectories. Modeling these trajectories is crucial for…

Machine Learning · Computer Science 2026-04-08 Saumya Pandey , Varun Chandola

This paper is about the state estimation of timed probabilistic discrete event systems. The main contribution is to propose general procedures for developing state estimation approaches based on artificial neural networks. It is assumed…

Systems and Control · Electrical Eng. & Systems 2025-05-22 Omar Amri , Carla Seatzu , Alessandro Giua , Dimitri Lefebvre

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…

Machine Learning · Statistics 2018-02-15 Hongteng Xu , Dixin Luo , Xu Chen , Lawrence Carin

Extreme events occur in many spatially extended dynamical systems, often devastatingly affecting human life which makes their reliable prediction and efficient prevention highly desirable. We study the prediction and prevention of extreme…

Data Analysis, Statistics and Probability · Physics 2015-10-09 Stephan Bialonski , Gerrit Ansmann , Holger Kantz

Temporal Point Processes (TPP) play an important role in predicting or forecasting events. Although these problems have been studied extensively, predicting multiple simultaneously occurring events can be challenging. For instance, more…

Machine Learning · Computer Science 2023-10-02 Parag Dutta , Kawin Mayilvaghanan , Pratyaksha Sinha , Ambedkar Dukkipati

Both Hawkes processes and autoregressive processes rely on linear functionals of their past, while modeling different types of data. Since datasets arising from observations of the same phenomenon may be heterogeneous and sampled at…

Probability · Mathematics 2026-05-28 Théo Leblanc

We present a novel framework for modeling traffic congestion events over road networks. Using multi-modal data by combining count data from traffic sensors with police reports that report traffic incidents, we aim to capture two types of…

Machine Learning · Computer Science 2021-06-02 Shixiang Zhu , Ruyi Ding , Minghe Zhang , Pascal Van Hentenryck , Yao Xie

The goal of sequential event prediction is to estimate the next event based on a sequence of historical events, with applications to sequential recommendation, user behavior analysis and clinical treatment. In practice, the next-event…

Machine Learning · Computer Science 2023-01-18 Chenxiao Yang , Qitian Wu , Qingsong Wen , Zhiqiang Zhou , Liang Sun , Junchi Yan

A multicomponent random process used as a model for the problem of space-time earthquake prediction; this allows us to develop consistent estimation for conditional probabilities of large earthquakes if the values of the predictor…

Geophysics · Physics 2009-04-28 V. M. Ghertzik

Reading is a process that unfolds across space and time, alternating between fixations where a reader focuses on a specific point in space, and saccades where a reader rapidly shifts their focus to a new point. An ansatz of…

Machine Learning · Computer Science 2025-06-26 Francesco Ignazio Re , Andreas Opedal , Glib Manaiev , Mario Giulianelli , Ryan Cotterell

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.…

Machine Learning · Computer Science 2019-09-06 Yujia Xie , Haoming Jiang , Feng Liu , Tuo Zhao , Hongyuan Zha

Medical event prediction (MEP) is a fundamental task in the medical domain, which needs to predict medical events, including medications, diagnosis codes, laboratory tests, procedures, outcomes, and so on, according to historical medical…

Machine Learning · Computer Science 2022-05-02 Sicen Liu , Xiaolong Wang , Yang Xiang , Hui Xu , Hui Wang , Buzhou Tang

Many real world applications can be formulated as event forecasting on Continuous Time Dynamic Graphs (CTDGs) where the occurrence of a timed event between two entities is represented as an edge along with its occurrence timestamp in the…

Machine Learning · Computer Science 2022-05-24 Xuhong Wang , Sirui Chen , Yixuan He , Minjie Wang , Quan Gan , Yupu Yang , Junchi Yan

Among the most relevant processes in the Earth system for human habitability are quasi-periodic, ocean-driven multi-year events whose dynamics are currently incompletely characterized by physical models, and hence poorly predictable. This…

Atmospheric and Oceanic Physics · Physics 2023-08-09 Matthew Bonas , Christopher K. Wikle , Stefano Castruccio

Hail risk assessment is necessary to estimate and reduce damage to crops, orchards, and infrastructure. Also, it helps to estimate and reduce consequent losses for businesses and, particularly, insurance companies. But hail forecasting is…

Atmospheric and Oceanic Physics · Physics 2022-09-05 Ivan Lukyanenko , Mikhail Mozikov , Yury Maximov , Ilya Makarov