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Space-time visualizations of macroscopic or microscopic traffic variables is a qualitative tool used by traffic engineers to understand and analyze different aspects of road traffic dynamics. We present a deep learning method to learn the…

Machine Learning · Computer Science 2022-04-12 Bilal Thonnam Thodi , Zaid Saeed Khan , Saif Eddin Jabari , Monica Menendez

This paper firstly show that a recent model (Tian et al., Transpn. Res. B 71, 138-157, 2015) is not able to well replicate the evolution concavity in traffic flow, i.e. the standard deviation of vehicles increases in a concave/linear way…

Cellular Automata and Lattice Gases · Physics 2015-07-16 Junfang Tian , Rui Jiang , Guangyu Li , Martin Treiber , Ning Jia , Shoufeng Ma

Modeling complex spatiotemporal dependencies in correlated traffic series is essential for traffic prediction. While recent works have shown improved prediction performance by using neural networks to extract spatiotemporal correlations,…

Machine Learning · Computer Science 2023-09-08 Junpeng Lin , Ziyue Li , Zhishuai Li , Lei Bai , Rui Zhao , Chen Zhang

Traffic accidents pose a significant risk to human health and property safety. Therefore, to prevent traffic accidents, predicting their risks has garnered growing interest. We argue that a desired prediction solution should demonstrate…

Databases · Computer Science 2024-07-30 Minxiao Chen , Haitao Yuan , Nan Jiang , Zhifeng Bao , Shangguang Wang

Accurate and reliable prediction has profound implications to a wide range of applications. In this study, we focus on an instance of spatio-temporal learning problem--traffic prediction--to demonstrate an advanced deep learning model…

Machine Learning · Computer Science 2024-08-27 Pingping Dong , Xiao-Lin Wang , Indranil Bose , Kam K. H. Ng , Xiaoning Zhang , Xiaoge Zhang

In this paper a spatial homogeneous vehicular traffic flow model based on a stochastic master equation of Boltzmann type in the acceleration variable is solved numerically for a special driver interaction model. The solution is done by a…

Other Condensed Matter · Physics 2009-11-10 K. Thomas Waldeer

In recent years, a large number of research efforts aimed at the development of machine learning models to predict complex spatial-temporal mobility patterns and their impact on road traffic and infrastructure. However, the utility of these…

Human-Computer Interaction · Computer Science 2020-08-04 Nicolas Tempelmeier , Anzumana Sander , Udo Feuerhake , Martin Löhdefink , Elena Demidova

In this paper, a useful reinterpretation of the city as a porous medium justifies the application of well-known models on fluid dynamics to develop a multi-model study of urban air pollution due to traffic flow in a large city. Thus, to…

Numerical Analysis · Mathematics 2025-02-21 N. Garcia-Chan , L. J. Alvarez-Vazquez , A. Martinez , M. E. Vazquez-Mendez

In car-following models, the driver reacts according to his physical and psychological abilities which may change over time. However, most car-following models are deterministic and do not capture the stochastic nature of human perception.…

Physics and Society · Physics 2019-07-16 D. Ngoduy , S. Lee , M. Treiber , M. Keyvan-Ekbatani , H. L. Vu

We present statistical techniques for analyzing global positioning system (GPS) data in order to understand, communicate about, and prevent patterns of violence. In this pilot study, participants in Nairobi, Kenya were asked to rate their…

Applications · Statistics 2020-02-18 Rina Friedberg , Clea Sarnquist , Gavin Nyairo , Mary Amuyunzu-Nyamongo , Michael Baiocchi

Multistep traffic forecasting on road networks is a crucial task in successful intelligent transportation system applications. To capture the complex non-stationary temporal dynamics and spatial dependency in multistep traffic-condition…

Machine Learning · Computer Science 2018-10-30 Zhengchao Zhang , Meng Li , Xi Lin , Yinhai Wang , Fang He

Providing transport users and operators with accurate forecasts on travel times is challenging due to a highly stochastic traffic environment. Public transport users are particularly sensitive to unexpected waiting times, which negatively…

Applications · Statistics 2022-02-25 Hector Rodriguez-Deniz , Mattias Villani

Various empirical and theoretical studies indicate that cumulative network traffic is a Gaussian process. However, depending on whether the intensity at which sessions are initiated is large or small relative to the session duration tail,…

Probability · Mathematics 2010-12-08 Luis Lopez-Oliveros , Sidney I. Resnick

We put forward a new Bayesian modeling strategy for spatiotemporal count data that enables efficient posterior sampling. Most previous models for such data decompose logarithms of the response Poisson rates into fixed effects and spatial…

Methodology · Statistics 2025-07-29 Yifan Cheng , Cheng Li

The paper analyzes traffic data of the Dutch freeway A9 with respect to certain aspects which are relevant for traffic flow modeling as well as the calibration of model parameters and functions. Apart from the dynamic velocity distribution,…

Statistical Mechanics · Physics 2007-05-23 Dirk Helbing

Traffic congestion is a complex, nonlinear spatiotemporal modeling problem. By collecting and analyzing a vast quantity and different categories of information, traffic flow, and road congestion can be predicted and controlled on an…

Computers and Society · Computer Science 2019-10-02 Karisma Trinanda Putra , Jing-Doo Wang , Eko Prasetyo , Prayitno

This paper demonstrates accurate traffic modeling and forecast using stochastic cell-automata (CA) and distributed fiber-optic sensing (DFOS). Traffic congestion is a dominant issue in highways. To reduce congestion, real-time traffic…

Cellular Automata and Lattice Gases · Physics 2025-11-24 Yoshiyuki Yajima , Takahiro Kumura

We study the steady-state behavior of a driven non-equilibrium lattice gas of hard-core particles with next-nearest-neighbor interaction. We calculate the exact stationary distribution of the periodic system and for a particular line in the…

Statistical Mechanics · Physics 2009-10-31 T. Antal , G. M. Schütz

Statistical models for landslide hazard enable mapping of risk factors and landslide occurrence intensity by using geomorphological covariates available at high spatial resolution. However, the spatial distribution of the triggering event…

Methodology · Statistics 2020-06-16 Thomas Opitz , Haakon Bakka , Raphaël Huser , Luigi Lombardo

Nonstationary Gaussian processes (GPs) are essential for modeling complex, locally heterogeneous spatial data. A common modeling approach is the spatial deformation method that warps the domain to recover isotropy. However, this static…

Machine Learning · Computer Science 2026-05-01 Minghao Gu , Weizhi Lin , Qiang Huang