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This paper proposes a novel graphical model, termed the spatial dependence graph model, which captures the global dependence structure of different events that occur randomly in space. In the spatial dependence graph model, the edge set is…

统计方法学 · 统计学 2016-07-26 Matthias Eckardt

Multivariate Hawkes process provides a powerful framework for modeling temporal dependencies and event-driven interactions in complex systems. While existing methods primarily focus on uncovering causal structures among observed…

机器学习 · 计算机科学 2026-03-03 Songyao Jin , Biwei Huang

Crime prediction is crucial for public safety and resource optimization, yet is very challenging due to two aspects: i) the dynamics of criminal patterns across time and space, crime events are distributed unevenly on both spatial and…

机器学习 · 计算机科学 2022-04-26 Lianghao Xia , Chao Huang , Yong Xu , Peng Dai , Liefeng Bo , Xiyue Zhang , Tianyi Chen

Road obstacle detection is an important problem for vehicle driving safety. In this paper, we aim to obtain robust road obstacle detection based on spatio-temporal context modeling. Firstly, a data-driven spatial context model of the…

计算机视觉与模式识别 · 计算机科学 2023-01-20 Xiuen Wu , Tao Wang , Lingyu Liang , Zuoyong Li , Fum Yew Ching

Detecting rare events, those defined to give rise to high impact but have a low probability of occurring, is a challenge in a number of domains including meteorological, environmental, financial and economic. The use of machine learning to…

应用统计 · 统计学 2022-09-13 Santhosh Narayanan , Carsten Maple , Mark Hooper

The abundance of fine-grained spatio-temporal data, such as traffic sensor networks, offers vast opportunities for scientific discovery. However, inferring causal relationships from such observational data remains challenging, particularly…

机器学习 · 统计学 2025-12-01 Xintong Li , Haoran Zhang , Xiao Zhou

Hawkes processes are a class of self-exciting point processes that are used to model complex phenomena. While most applications of Hawkes processes assume that event data occurs in continuous-time, the less-studied discrete-time version of…

应用统计 · 统计学 2023-06-01 Trinnhallen Brisley , Gordon Ross , Daniel Paulin , Jake Easto

Research in action detection has grown in the recentyears, as it plays a key role in video understanding. Modelling the interactions (either spatial or temporal) between actors and their context has proven to be essential for this task.…

计算机视觉与模式识别 · 计算机科学 2021-06-30 Manuel Sarmiento Calderó , David Varas , Elisenda Bou-Balust

Law enforcement reports contain structured fields and written narratives. However, many incident facts that are needed for review, police training, and investigations are in natural language and require manual reading. We propose a…

计算与语言 · 计算机科学 2026-05-18 Anita Srbinovska , Jansen Orfan , Adrian Martin , Ernest Fokoué

We study the spatio-temporal prediction problem, which has attracted the attention of many researchers due to its critical real-life applications. In particular, we introduce a novel approach to this problem. Our approach is based on the…

机器学习 · 统计学 2020-07-07 Oguzhan Karaahmetoglu , Suleyman Serdar Kozat

The statistical modeling of multivariate count data observed on a space-time lattice has generally focused on using a hierarchical modeling approach where space-time correlation structure is placed on a continuous, latent, process. The…

应用统计 · 统计学 2021-02-16 Nicholas J Clark , Philip M. Dixon

Given a collection of entities (or nodes) in a network and our intermittent observations of activities from each entity, an important problem is to learn the hidden edges depicting directional relationships among these entities. Here, we…

机器学习 · 统计学 2017-08-01 Triet M Le

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…

机器学习 · 计算机科学 2025-06-26 Francesco Ignazio Re , Andreas Opedal , Glib Manaiev , Mario Giulianelli , Ryan Cotterell

The neural Hawkes process (Mei & Eisner, 2017) is a generative model of irregularly spaced sequences of discrete events. To handle complex domains with many event types, Mei et al. (2020a) further consider a setting in which each event in…

机器学习 · 计算机科学 2022-05-09 Chenghao Yang , Hongyuan Mei , Jason Eisner

Hawkes Processes are a type of point process which models self-excitement among time events. It has been used in a myriad of applications, ranging from finance and earthquakes to crime rates and social network activity analysis.Recently, a…

机器学习 · 计算机科学 2021-01-05 Rafael Lima

With the growing use of AI technology, many police departments use forecasting software to predict probable crime hotspots and allocate patrolling resources effectively for crime prevention. The clustered nature of crime data makes…

机器学习 · 计算机科学 2025-02-12 Pramit Das , Moulinath Banerjee , Yuekai Sun

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…

应用统计 · 统计学 2021-08-16 Jing Wu , Owen G. Ward , James Curley , Tian Zheng

Spatiotemporal point processes (STPPs) are probabilistic models for events occurring in continuous space and time. Real-world event data often exhibit intricate dependencies and heterogeneous dynamics. By incorporating modern deep learning…

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…

机器学习 · 计算机科学 2017-11-22 Hongyuan Mei , Jason Eisner

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…

机器学习 · 统计学 2019-06-24 Maya Okawa , Tomoharu Iwata , Takeshi Kurashima , Yusuke Tanaka , Hiroyuki Toda , Naonori Ueda