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Abstract. Most of the real world data we encounter are asynchronous event sequence, so the last decades have been characterized by the implementation of various point process into the field of social networks,electronic medical records and…

Machine Learning · Computer Science 2021-12-28 Zhi-yan Song , Jian-wei Liu , Lu-ning Zhang , Ya-nan Han

We consider a new class of non Markovian processes with a countable number of interacting components, both in discrete and continuous time. Each component is represented by a point process indicating if it has a spike or not at a given…

Neurons and Cognition · Quantitative Biology 2015-02-24 A. Galves , E. Löcherbach

Temporal Point Processes (TPPs) have recently become increasingly interesting for learning dynamics in graph data. A reason for this is that learning on dynamic graph data is becoming more relevant, since data from many scientific fields,…

Machine Learning · Computer Science 2024-08-29 Alice Moallemy-Oureh , Silvia Beddar-Wiesing , Yannick Nagel , Rüdiger Nather , Josephine M. Thomas

In this paper, we study a class of self-exciting point processes. The intensity of the point process has a nonlinear dependence on the past history and time. When a new jump occurs, the intensity increases and we expect more jumps to come.…

Probability · Mathematics 2014-12-12 Tzu-Wei Yang , Lingjiong Zhu

Attributed event sequences are commonly encountered in practice. A recent research line focuses on incorporating neural networks with the statistical model -- marked point processes, which is the conventional tool for dealing with…

Machine Learning · Computer Science 2021-07-08 Tianbo Li , Tianze Luo , Yiping Ke , Sinno Jialin Pan

Electronic Health Records (EHR) can be represented as temporal sequences that record the events (medical visits) from patients. Neural temporal point process (NTPP) has achieved great success in modeling event sequences that occur in…

Machine Learning · Computer Science 2024-04-15 Bingqing Liu

Modeling event patterns is a central task in a wide range of disciplines. In applications such as studying human activity patterns, events often arrive clustered with sporadic and long periods of inactivity. Such heterogeneity in event…

Applications · Statistics 2022-01-03 Jingfei Zhang , Biao Cai , Xuening Zhu , Hansheng Wang , Ganggang Xu , Yongtao Guan

Predictive business process monitoring methods exploit logs of completed cases of a process in order to make predictions about running cases thereof. Existing methods in this space are tailor-made for specific prediction tasks. Moreover,…

Applications · Statistics 2017-12-20 Niek Tax , Ilya Verenich , Marcello La Rosa , Marlon Dumas

Analysis of gun violence in the United States has utilized various models based on spatiotemporal point processes. Previous studies have identified a contagion effect in gun violence, characterized by bursts of diffusion across urban…

Applications · Statistics 2024-08-20 Zheng Dong , Yao Xie

Modeling long horizon marked event sequences is a fundamental challenge in many real-world applications, including healthcare, finance, and user behavior modeling. Existing neural temporal point process models are typically autoregressive,…

Machine Learning · Computer Science 2025-08-08 Xiao Shou

Neural processes (NPs) constitute a family of variational approximate models for stochastic processes with promising properties in computational efficiency and uncertainty quantification. These processes use neural networks with latent…

Machine Learning · Computer Science 2020-11-03 Qi Wang , Herke van Hoof

Many event sequence data exhibit mutually exciting or inhibiting patterns. Reliable detection of such temporal dependency is crucial for scientific investigation. The de facto model is the Multivariate Hawkes Process (MHP), whose impact…

Applications · Statistics 2023-05-31 Yu Chen , Fengpei Li , Anderson Schneider , Yuriy Nevmyvaka , Asohan Amarasingham , Henry Lam

Online learning of Hawkes processes has received increasing attention in the last couple of years especially for modeling a network of actors. However, these works typically either model the rich interaction between the events or the latent…

The Hawkes model is a past-dependent point process, widely used in various fields for modeling temporal clustering of events. Extending this framework, the multidimensional marked Hawkes process incorporates multiple interacting event types…

Methodology · Statistics 2025-05-20 Anna Bonnet , Charlotte Dion-Blanc , Maya Sadeler-Perrin

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

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…

Machine Learning · Statistics 2020-07-16 Xu Wang , Mladen Kolar , Ali Shojaie

Hawkes processes have recently risen to the forefront of tools when it comes to modeling and generating sequential events data. Multidimensional Hawkes processes model both the self and cross-excitation between different types of events and…

Machine Learning · Computer Science 2022-12-13 Renbo Zhao , Niccolò Dalmasso , Mohsen Ghassemi , Vamsi K. Potluru , Tucker Balch , Manuela Veloso

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

The existing Neural ODE formulation relies on an explicit knowledge of the termination time. We extend Neural ODEs to implicitly defined termination criteria modeled by neural event functions, which can be chained together and…

Machine Learning · Computer Science 2021-10-28 Ricky T. Q. Chen , Brandon Amos , Maximilian Nickel

Point processes are a useful mathematical tool for describing events over time, and so there are many recent approaches for representing and learning them. One notable open question is how to precisely describe the flexibility of point…

Machine Learning · Computer Science 2021-03-04 Alexander Soen , Alexander Mathews , Daniel Grixti-Cheng , Lexing Xie