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Temporal point processes (TPP) are probabilistic generative models for continuous-time event sequences. Neural TPPs combine the fundamental ideas from point process literature with deep learning approaches, thus enabling construction of…

Machine Learning · Computer Science 2021-08-26 Oleksandr Shchur , Ali Caner Türkmen , Tim Januschowski , Stephan Günnemann

Temporal point processes (TPPs) are stochastic process models used to characterize event sequences occurring in continuous time. Traditional statistical TPPs have a long-standing history, with numerous models proposed and successfully…

Machine Learning · Computer Science 2025-06-30 Feng Zhou , Quyu Kong , Jie Qiao , Cheng Wan , Yixuan Zhang , Ruichu Cai

Event prediction in the continuous-time domain is a crucial but rather difficult task. Temporal point process (TPP) learning models have shown great advantages in this area. Existing models mainly focus on encoding global contexts of events…

Machine Learning · Computer Science 2023-06-27 Wang-Tao Zhou , Zhao Kang , Ling Tian , Yi Su

Predicting when and where events will occur in cities, like taxi pick-ups, crimes, and vehicle collisions, is a challenging and important problem with many applications in fields such as urban planning, transportation optimization and…

Machine Learning · Statistics 2019-06-24 Maya Okawa , Tomoharu Iwata , Takeshi Kurashima , Yusuke Tanaka , Hiroyuki Toda , Naonori Ueda

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…

Applications · Statistics 2021-08-16 Jing Wu , Owen G. Ward , James Curley , Tian Zheng

Stochastic models for performance analysis, optimization and control of queues hinge on a multitude of alternatives for input point processes. In case of bursty traffic, one very popular model is the \textit{Markov Modulated Poisson…

Probability · Mathematics 2021-09-03 Azam Asanjarani , Sophie Hautphenne , Yoni Nazarathy

Foundational marked temporal point process (MTPP) models, such as the Hawkes process, often use inexpressive model families in order to offer interpretable parameterizations of event data. On the other hand, neural MTPPs models forego this…

Machine Learning · Statistics 2025-11-04 Alex Boyd , Andrew Warrington , Taha Kass-Hout , Parminder Bhatia , Danica Xiao

Temporal Point Processes (TPPs) are widely used for modeling event sequences in various medical domains, such as disease onset prediction, progression analysis, and clinical decision support. Although TPPs effectively capture temporal…

Machine Learning · Computer Science 2025-10-20 Yunyang Cao , Juekai Lin , Hongye Wang , Wenhao Li , Bo Jin

Any human activity can be represented as a temporal sequence of actions performed to achieve a certain goal. Unlike machine-made time series, these action sequences are highly disparate as the time taken to finish a similar action might…

Computer Vision and Pattern Recognition · Computer Science 2022-08-29 Vinayak Gupta , Srikanta Bedathur

In the marked temporal point processes (MTPP), a core problem is to parameterize the conditional joint PDF (probability distribution function) $p^*(m,t)$ for inter-event time $t$ and mark $m$, conditioned on the history. The majority of…

Machine Learning · Computer Science 2023-08-08 Sishun Liu , Ke Deng , Xiuzhen Zhang , Yongli Ren

This paper defines the class of c\`adl\`ag functional marked point processes (CFMPPs). These are (spatio-temporal) point processes marked by random elements which take values in a c\`adl\`ag function space, i.e. the marks are given by…

Statistics Theory · Mathematics 2014-03-11 Ottmar Cronie , Jorge Mateu

The Batch Markov Modulated Poisson Process (BMMPP) is a subclass of the versatile Batch Markovian Arrival process (BMAP) which has been proposed for the modeling of dependent events occurring in batches (as group arrivals, failures or risk…

Computation · Statistics 2024-01-29 Yoel G. Yera , Rosa E. Lillo , Pepa Ramírez-Cobo

We consider the problem of analyzing timestamped relational events between a set of entities, such as messages between users of an on-line social network. Such data are often analyzed using static or discrete-time network models, which…

Social and Information Networks · Computer Science 2019-02-25 Ruthwik R. Junuthula , Maysam Haghdan , Kevin S. Xu , Vijay K. Devabhaktuni

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

Point process is the dominant paradigm for modeling event sequences occurring at irregular intervals. In this paper we aim at modeling latent dynamics of event propagation in graph, where the event sequence propagates in a directed weighted…

Machine Learning · Computer Science 2022-11-23 Siqiao Xue , Xiaoming Shi , Hongyan Hao , Lintao Ma , Shiyu Wang , Shijun Wang , James Zhang

Irregular and asynchronous event sequences are prevalent in many domains, such as social media, finance, and healthcare. Traditional temporal point processes (TPPs), like Hawkes processes, often struggle to model mutual inhibition and…

Machine Learning · Computer Science 2024-07-09 Anningzhe Gao , Shan Dai , Yan Hu

The classical temporal point process (TPP) constructs an intensity function by taking the occurrence times into account. Nevertheless, occurrence time may not be the only relevant factor, other contextual data, termed covariates, may also…

Machine Learning · Computer Science 2024-07-24 Zizhuo Meng , Boyu Li , Xuhui Fan , Zhidong Li , Yang Wang , Fang Chen , Feng Zhou

Many real-world objects can be modeled as a stream of events on the nodes of a graph. In this paper, we propose a class of graphical event models named temporal point process graphical models for representing the temporal dependencies among…

Methodology · Statistics 2021-10-25 Yalong Lyu , Huiyuan Wang , Wei Lin

Temporal point processes (TPPs) are effective for modeling event occurrences over time, but they struggle with sparse and uncertain events in federated systems, where privacy is a major concern. To address this, we propose \textit{FedPP}, a…

Machine Learning · Computer Science 2026-01-14 Hui Chen , Xuhui Fan , Hengyu Liu , Yaqiong Li , Zhilin Zhao , Feng Zhou , Christopher John Quinn , Longbing Cao

We propose a Bayesian nonparametric approach to the problem of jointly modeling multiple related time series. Our model discovers a latent set of dynamical behaviors shared among the sequences, and segments each time series into regions…

Methodology · Statistics 2014-11-14 Emily B. Fox , Michael C. Hughes , Erik B. Sudderth , Michael I. Jordan