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Self-exciting spatio-temporal point process models predict the rate of events as a function of space, time, and the previous history of events. These models naturally capture triggering and clustering behavior, and have been widely used in…

Methodology · Statistics 2018-08-14 Alex Reinhart

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

Point process models have been used to analyze interaction event times on a social network, in the hope to provides valuable insights for social science research. However, the diagnostics and visualization of the modeling results from such…

Applications · Statistics 2020-01-28 Jing Wu , Anna L. Smith , Tian Zheng

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…

Machine Learning · Statistics 2026-01-13 Xiuyuan Cheng , Tingnan Gong , Yao Xie

Point processes offer a versatile framework for sequential event modeling. However, the computational challenges and constrained representational power of the existing point process models have impeded their potential for wider…

Machine Learning · Statistics 2025-01-22 Zheng Dong , Zekai Fan , Shixiang Zhu

We present a sequential model for temporal relation classification between intra-sentence events. The key observation is that the overall syntactic structure and compositional meanings of the multi-word context between events are important…

Computation and Language · Computer Science 2017-07-25 Prafulla Kumar Choubey , Ruihong Huang

This review article provides an overview of recent work in the modeling and analysis of recurrent events arising in engineering, reliability, public health, biomedicine and other areas. Recurrent event modeling possesses unique facets…

Methodology · Statistics 2007-08-03 Edsel A. Peña

We study the spatio-temporal prediction problem and introduce a novel point-process-based prediction algorithm. Spatio-temporal prediction is extensively studied in Machine Learning literature due to its critical real-life applications such…

Machine Learning · Statistics 2021-03-17 Oguzhan Karaahmetoglu , Suleyman S. Kozat

A temporal point process is a stochastic process that predicts which type of events is likely to happen and when the event will occur given a history of a sequence of events. There are various examples of occurrence dynamics in the daily…

Machine Learning · Computer Science 2022-02-23 Deokjun Eom , Sehyun Lee , Jaesik Choi

We introduce a framework to describe probabilistic models in Bell experiments, and more generally in contextuality scenarios. Such a scenario is a hypergraph whose vertices represent elementary events and hyperedges correspond to…

Quantum Physics · Physics 2014-12-31 Tobias Fritz , Anthony Leverrier , Ana Belén Sainz

Process analytics is an umbrella of data-driven techniques which includes making predictions for individual process instances or overall process models. At the instance level, various novel techniques have been recently devised, tackling…

Machine Learning · Computer Science 2021-07-29 Johannes De Smedt , Anton Yeshchenko , Artem Polyvyanyy , Jochen De Weerdt , Jan Mendling

A temporal point process is a mathematical model for a time series of discrete events, which covers various applications. Recently, recurrent neural network (RNN) based models have been developed for point processes and have been found…

Machine Learning · Computer Science 2020-01-13 Takahiro Omi , Naonori Ueda , Kazuyuki Aihara

A large fraction of data generated via human activities such as online purchases, health records, spatial mobility etc. can be represented as a sequence of events over a continuous-time. Learning deep learning models over these…

Machine Learning · Computer Science 2022-08-29 Vinayak Gupta , Srikanta Bedathur , Sourangshu Bhattacharya , Abir De

Continuous-time event sequences, in which events occur at irregular intervals, are ubiquitous across a wide range of industrial and scientific domains. The contemporary modeling paradigm is to treat such data as realizations of a temporal…

Machine Learning · Computer Science 2026-04-07 Gavin Kerrigan , Kai Nelson , Padhraic Smyth

We present a probabilistic model of events in continuous time in which each event triggers a Poisson process of successor events. The ensemble of observed events is thereby modeled as a superposition of Poisson processes. Efficient…

Machine Learning · Computer Science 2012-03-19 Aleksandr Simma , Michael I. Jordan

Usually gradual and continuous changes in entities will lead to appear events. But usually it is supposed that an event is occurred at once. In this research an integrated framework called continuous occurrence theory (COT) is presented to…

Artificial Intelligence · Computer Science 2016-11-14 Abdorrahman Haeri

Temporal point process is widely used for sequential data modeling. In this paper, we focus on the problem of modeling sequential event propagation in graph, such as retweeting by social network users, news transmitting between websites,…

Social and Information Networks · Computer Science 2020-05-06 Weichang Wu , Huanxi Liu , Xiaohu Zhang , Yu Liu , Hongyuan Zha

Interactions and time shape many aspects of life. Everyday activities -- like conversations, emails, money transfers, citations, and even acts of violence -- are relational events: interactions between a sender and a receiver at a specific…

Methodology · Statistics 2026-04-09 Martina Boschi , Ernst C. Wit

Temporal point processes (TPPs) are widely used to model the timing and occurrence of events in domains such as social networks, transportation systems, and e-commerce. In this paper, we introduce TPP-LLM, a novel framework that integrates…

Machine Learning · Computer Science 2025-06-11 Zefang Liu , Yinzhu Quan

We develop a class of exponential-family point processes based on a latent social space to model the coevolution of social structure and behavior over time. Temporal dynamics are modeled as a discrete Markov process specified through…

Other Statistics · Statistics 2016-10-04 Joshua D. EmBree , Mark S. Handcock