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We present a novel framework for modeling traffic congestion events over road networks. Using multi-modal data by combining count data from traffic sensors with police reports that report traffic incidents, we aim to capture two types of…

Machine Learning · Computer Science 2021-06-02 Shixiang Zhu , Ruyi Ding , Minghe Zhang , Pascal Van Hentenryck , Yao Xie

Analyzing crime events is crucial to understand crime dynamics and it is largely helpful for constructing prevention policies. Point processes specified on linear networks can provide a more accurate description of crime incidents by…

Applications · Statistics 2026-01-21 Sujeong Lee , Won Chang , Jorge Mateu , Heejin Lee , Jaewoo Park

Crime has both varying patterns in space, related to features of the environment, economy, and policing, and patterns in time arising from criminal behavior, such as retaliation. Serious crimes may also be presaged by minor crimes of…

Applications · Statistics 2019-04-09 Alex Reinhart , Joel Greenhouse

Crimes emerge out of complex interactions of human behaviors and situations. Linkages between crime incidents are highly complex. Detecting crime linkage given a set of incidents is a highly challenging task since we only have limited…

Machine Learning · Statistics 2021-08-25 Shixiang Zhu , Yao Xie

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

Predicting crime hotspots in a city is a complex and critical task with significant societal implications. Numerous spatiotemporal correlations and irregularities pose substantial challenges to this endeavor. Existing methods commonly…

Machine Learning · Computer Science 2024-11-05 Jiahui Jin , Yi Hong , Guandong Xu , Jinghui Zhang , Jun Tang , Hancheng Wang

We propose a latent self-exciting point process model that describes geographically distributed interactions between pairs of entities. In contrast to most existing approaches that assume fully observable interactions, here we consider a…

Social and Information Networks · Computer Science 2014-05-02 Yoon-Sik Cho , Aram Galstyan , P. Jeffrey Brantingham , George Tita

Complex systems display emergent phenomena that vary significantly across spatial and temporal scales. These variations originate from fine-grained system processes, yet arriving at macroscopic dynamics from micro-level data -- particularly…

Exposure to crime and violence can harm individuals' quality of life and the economic growth of communities. In light of the rapid development in machine learning, there is a rise in the need to explore automated solutions to prevent…

Machine Learning · Computer Science 2023-01-03 Yuting Sun , Tong Chen , Hongzhi Yin

Consider observing a collection of discrete events within a network that reflect how network nodes influence one another. Such data are common in spike trains recorded from biological neural networks, interactions within a social network,…

Machine Learning · Statistics 2018-02-15 Benjamin Mark , Garvesh Raskutti , Rebecca Willett

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

In recent years there has been a substantial increase in the availability of datasets which contain information about the location and timing of an event or group of events and the application of methods to analyse spatio-temporal datasets…

Methodology · Statistics 2019-10-02 Nik Lomax , Nick Malleson , Le-Minh Kieu

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

Analysis of the dynamic relationship between traffic accident events and road network topology based on connectivity and graph analytics offers a new approach to identifying, ranking and profiling traffic accident high risk-locations at…

Social and Information Networks · Computer Science 2022-05-09 Iyke Maduako , Elijah Ebinne , Victus Uzodinma , Chukwuma Okolie , Emmanuel Chiemelu

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…

Methodology · Statistics 2016-07-26 Matthias Eckardt

We investigate spatio-temporal event analysis using point processes. Inferring the dynamics of event sequences spatiotemporally has many practical applications including crime prediction, social media analysis, and traffic forecasting. In…

Machine Learning · Computer Science 2021-02-17 Fatih Ilhan , Suleyman Serdar Kozat

High-dimensional autoregressive point processes model how current events trigger or inhibit future events, such as activity by one member of a social network can affect the future activity of his or her neighbors. While past work has…

Machine Learning · Statistics 2020-03-18 Lili Zheng , Garvesh Raskutti , Rebecca Willett , Benjamin Mark

In many network systems, events at one node trigger further activity at other nodes, e.g., social media users reacting to each other's posts or the clustering of criminal activity in urban environments. These systems are typically referred…

Social and Information Networks · Computer Science 2025-05-27 Pramit Das , Moulinath Banerjee , Yuekai Sun

This paper introduces a statistical model for the arrival times of connection events in a computer network. Edges between nodes in a network can be interpreted and modelled as point processes where events in the process indicate information…

Applications · Statistics 2017-11-29 Matthew Price-Williams , Nick Heard

This paper is concerned with the joint analysis of multivariate mixed-type spatial data, where some components are point processes and some are of lattice-type by nature. After a survey of statistical methods for marked spatial point and…

Methodology · Statistics 2019-06-20 Matthias Eckardt , Jorge Mateu
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