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Events in spatiotemporal domains arise in numerous real-world applications, where uncovering event relationships and enabling accurate prediction are central challenges. Classical Poisson and Hawkes processes rely on restrictive parametric…

Machine Learning · Computer Science 2026-03-26 Zhitong Xu , Qiwei Yuan , Yinghao Chen , Yan Sun , Bin Shen , Shandian Zhe

Many events occur in the world. Some event types are stochastically excited or inhibited---in the sense of having their probabilities elevated or decreased---by patterns in the sequence of previous events. Discovering such patterns can help…

Machine Learning · Computer Science 2017-11-22 Hongyuan Mei , Jason Eisner

Self- and mutually-exciting point processes are popular models in machine learning and statistics for dependent discrete event data. To date, most existing models assume stationary kernels (including the classical Hawkes processes) and…

Machine Learning · Computer Science 2022-02-15 Shixiang Zhu , Haoyun Wang , Zheng Dong , Xiuyuan Cheng , Yao Xie

A determinantal point process (DPP) is a random process useful for modeling the combinatorial problem of subset selection. In particular, DPPs encourage a random subset Y to contain a diverse set of items selected from a base set Y. For…

Machine Learning · Computer Science 2012-10-19 Raja Hafiz Affandi , Alex Kulesza , Emily B. Fox

Temporal point process (TPP) is an important tool for modeling and predicting irregularly timed events across various domains. Recently, the recurrent neural network (RNN)-based TPPs have shown practical advantages over traditional…

Machine Learning · Statistics 2024-06-04 Zhiheng Chen , Guanhua Fang , Wen Yu

Neural Processes (NPs) consider a task as a function realized from a stochastic process and flexibly adapt to unseen tasks through inference on functions. However, naive NPs can model data from only a single stochastic process and are…

Machine Learning · Computer Science 2022-03-28 Donggyun Kim , Seongwoong Cho , Wonkwang Lee , Seunghoon Hong

Temporal point processes (TPPs) model the timing of discrete events along a timeline and are widely used in fields such as neuroscience and fi- nance. Statistical depth functions are powerful tools for analyzing centrality and ranking in…

Methodology · Statistics 2025-11-25 Chifeng Shen , Yuejiao Fu , Xiaoping Shi , Michael Chen

Temporal point process as the stochastic process on continuous domain of time is commonly used to model the asynchronous event sequence featuring with occurrence timestamps. Thanks to the strong expressivity of deep neural networks, they…

Machine Learning · Computer Science 2024-12-25 Haitao Lin , Cheng Tan , Lirong Wu , Zhangyang Gao , Zicheng Liu , Stan. Z. Li

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

Temporal Point Processes (TPPs) hold a pivotal role in modeling event sequences across diverse domains, including social networking and e-commerce, and have significantly contributed to the advancement of recommendation systems and…

Machine Learning · Computer Science 2024-02-02 Maolin Wang , Yu Pan , Zenglin Xu , Ruocheng Guo , Xiangyu Zhao , Wanyu Wang , Yiqi Wang , Zitao Liu , Langming Liu

Continuously-observed event occurrences, often exhibit self- and mutually-exciting effects, which can be well modeled using temporal point processes. Beyond that, these event dynamics may also change over time, with certain periodic trends.…

Machine Learning · Computer Science 2024-03-11 Sikun Yang , Hongyuan Zha

Temporal point processes (TPPs) are crucial for analyzing events over time and are widely used in fields such as finance, healthcare, and social systems. These processes are particularly valuable for understanding how events unfold over…

Artificial Intelligence · Computer Science 2026-01-06 Lili Chen , Wensheng Gan , Shuang Liang , Philip S. Yu

Many time series are effectively generated by a combination of deterministic continuous flows along with discrete jumps sparked by stochastic events. However, we usually do not have the equation of motion describing the flows, or how they…

Machine Learning · Computer Science 2020-01-09 Junteng Jia , Austin R. Benson

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

Neural Ordinary Differential Equations (NODEs) use a neural network to model the instantaneous rate of change in the state of a system. However, despite their apparent suitability for dynamics-governed time-series, NODEs present a few…

Machine Learning · Computer Science 2021-08-18 Alexander Norcliffe , Cristian Bodnar , Ben Day , Jacob Moss , Pietro Liò

Predicting individual mobility patterns is crucial across various applications. While current methods mainly focus on predicting the next location for personalized services like recommendations, they often fall short in supporting broader…

Artificial Intelligence · Computer Science 2025-08-20 Zongyuan Huang , Weipeng Wang , Shaoyu Huang , Marta C. Gonzalez , Yaohui Jin , Yanyan Xu

Intelligent perception and interaction with the world hinges on internal representations that capture its underlying structure (''disentangled'' or ''abstract'' representations). Disentangled representations serve as world models, isolating…

Machine Learning · Computer Science 2025-03-04 Pantelis Vafidis , Aman Bhargava , Antonio Rangel

Human beings always engage in a vast range of activities and tasks that demonstrate their ability to adapt to different scenarios. Any human activity can be represented as a temporal sequence of actions performed to achieve a certain goal.…

Computer Vision and Pattern Recognition · Computer Science 2023-07-21 Vinayak Gupta , Srikanta Bedathur

In real-world scenario, many phenomena produce a collection of events that occur in continuous time. Point Processes provide a natural mathematical framework for modeling these sequences of events. In this survey, we investigate…

A recent line of work in the machine learning community addresses the problem of predicting high-dimensional spatiotemporal phenomena by leveraging specific tools from the differential equations theory. Following this direction, we propose…

Machine Learning · Computer Science 2021-03-24 Jérémie Donà , Jean-Yves Franceschi , Sylvain Lamprier , Patrick Gallinari