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Accurate and interpretable car-following models are essential for traffic simulation and autonomous vehicle development. However, classical models like the Intelligent Driver Model (IDM) are fundamentally limited by their parsimonious and…

Applications · Statistics 2025-06-18 Chengyuan Zhang , Cathy Wu , Lijun Sun

Car following (CF) models are fundamental to describing traffic dynamics. However, the CF behavior of human drivers is highly stochastic and nonlinear. As a result, identifying the best CF model has been challenging and controversial…

Machine Learning · Computer Science 2023-12-19 Jiwan Jiang , Yang Zhou , Xin Wang , Soyoung Ahn

Credible microscopic traffic simulation requires car-following models that capture both the average response and the substantial variability observed across drivers and situations. However, most data-driven calibrations remain…

Applications · Statistics 2026-02-06 Menglin Kong , Chengyuan Zhang , Lijun Sun

Modeling and simulating movement of vehicles in established transportation infrastructures, especially in large urban road networks is an important task. It helps with understanding and handling traffic problems, optimizing traffic…

Systems and Control · Electrical Eng. & Systems 2021-06-09 Renátó Besenczi , Norbert Bátfai , Péter Jeszenszky , Roland Major , Fanny Monori , Márton Ispány

Learning and understanding car-following (CF) behaviors are crucial for microscopic traffic simulation. Traditional CF models, though simple, often lack generalization capabilities, while many data-driven methods, despite their robustness,…

Applications · Statistics 2024-04-25 Chengyuan Zhang , Kehua Chen , Meixin Zhu , Hai Yang , Lijun Sun

Car-following (CF) modeling, an essential component in simulating human CF behaviors, has attracted increasing research interest in the past decades. This paper pushes the state of the art by proposing a novel generative hybrid CF model,…

Artificial Intelligence · Computer Science 2025-01-28 Yifan Zhang , Xinhong Chen , Jianping Wang , Zuduo Zheng , Kui Wu

Car-following behavior modeling is critical for understanding traffic flow dynamics and developing high-fidelity microscopic simulation models. Most existing impulse-response car-following models prioritize computational efficiency and…

Applications · Statistics 2025-04-09 Chengyuan Zhang , Wenshuo Wang , Lijun Sun

We introduce a new approach to model and analyze \emph{Mobility}. It is fully based on discrete mathematics and yields a class of mobility models, called the \emph{Markov Trace} Model. This model can be seen as the discrete version of the…

Discrete Mathematics · Computer Science 2010-02-05 Andrea Clementi , Angelo Monti , Riccardo Silvestri

Markov chains are simple yet powerful mathematical structures to model temporally dependent processes. They generally assume stationary data, i.e., fixed transition probabilities between observations/states. However, live, real-world…

Machine Learning · Computer Science 2024-11-27 Kutalmış Coşkun , Borahan Tümer , Bjarne C. Hiller , Martin Becker

Modeling stochastic traffic behaviors at the microscopic level, such as car-following and lane-changing, is a crucial task to understand the interactions between individual vehicles in traffic streams. Leveraging a recently developed theory…

Machine Learning · Statistics 2020-07-21 Yun Yuan , Qinzheng Wang , Xianfeng Terry Yang

Car-following (CF) algorithms are crucial components of traffic simulations and have been integrated into many production vehicles equipped with Advanced Driving Assistance Systems (ADAS). Insights from the model of car-following behavior…

Systems and Control · Electrical Eng. & Systems 2025-02-18 Tianya Zhang , Ph. D. , Peter J. Jin , Ph. D. , Sean T. McQuade , Ph. D. , Alexandre Bayen , Ph. D. , Benedetto Piccoli

We present a traffic model that extends the linear car-following model as well as the min-plus traffic model (a model based on the min-plus algebra). A discrete-time car-dynamics describing the traffic on a 1-lane road without passing is…

Optimization and Control · Mathematics 2011-08-19 Nadir Farhi

Car-following (CF) modeling, a fundamental component in microscopic traffic simulation, has attracted increasing interest of researchers in the past decades. In this study, we propose an adaptable personalized car-following framework…

Machine Learning · Computer Science 2024-06-26 Xianda Chen , Kehua Chen , Meixin Zhu , Hao , Yang , Shaojie Shen , Xuesong Wang , Yinhai Wang

We present a case study applying learning-based distributionally robust model predictive control to highway motion planning under stochastic uncertainty of the lane change behavior of surrounding road users. The dynamics of road users are…

Systems and Control · Electrical Eng. & Systems 2022-11-08 Mathijs Schuurmans , Alexander Katriniok , Christopher Meissen , H. Eric Tseng , Panagiotis Patrinos

Car-following behavior has been extensively studied using physics-based models, such as the Intelligent Driver Model. These models successfully interpret traffic phenomena observed in the real-world but may not fully capture the complex…

Machine Learning · Computer Science 2021-07-15 Zhaobin Mo , Xuan Di , Rongye Shi

Car-following is a control process in which a following vehicle (FV) adjusts its acceleration to keep a safe distance from the lead vehicle (LV). Recently, there has been a booming of data-driven models that enable more accurate modeling of…

Computer Vision and Pattern Recognition · Computer Science 2023-11-28 Xianda Chen , Meixin Zhu , Kehua Chen , Pengqin Wang , Hongliang Lu , Hui Zhong , Xu Han , Yinhai Wang

Efficient traffic management is crucial for maintaining urban mobility, especially in densely populated areas where congestion, accidents, and delays can lead to frustrating and expensive commutes. However, existing prediction methods face…

Machine Learning · Computer Science 2023-05-25 Xuhong Wang , Ding Wang , Liang Chen , Yilun Lin

We present simulations of congested traffic in circular and open systems with a non-local, gas-kinetic-based traffic model and a novel car-following model. The model parameters are all intuitive and can be easily calibrated. Micro- and…

Statistical Mechanics · Physics 2007-05-23 Dirk Helbing , Ansgar Hennecke , Vladimir Shvetsov , Martin Treiber

As autonomous driving technology progresses, the need for precise trajectory prediction models becomes paramount. This paper introduces an innovative model that infuses cognitive insights into trajectory prediction, focusing on perceived…

Motivated by applications in movement ecology, in this paper I propose a new class of integrated continuous-time hidden Markov models in which each observation depends on the underlying state of the process over the whole interval since the…

Methodology · Statistics 2019-10-01 Paul G Blackwell
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