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There is discussion if traffic displays multiple phases (e.g. laminar, jammed, synchronized) or not. This paper presents evidence that a stochastic car following model, by changing one of its parameters, can be moved from showing two phases…

Statistical Mechanics · Physics 2007-05-23 Dominic Jost , Kai Nagel

We present a detailed analysis of single-vehicle data which sheds some light on the microscopic interaction of the vehicles. Besides the analysis of free flow and synchronized traffic the data sets especially provide information about wide…

Statistical Mechanics · Physics 2009-11-07 Wolfgang Knospe , Ludger Santen , Andreas Schadschneider , Michael Schreckenberg

In this paper we consider a kinetic description of follow-the-leader traffic models, which we use to study the effect of vehicle-wise driver-assist control strategies at various scales, from that of the local traffic up to that of the…

Adaptation and Self-Organizing Systems · Physics 2020-08-31 Benedetto Piccoli , Andrea Tosin , Mattia Zanella

This paper presents a new mathematical model of vehicular traffic, based on the methods of the generalized kinetic theory, in which the space of microscopic states (position and velocity) of the vehicles is genuinely discrete. While in the…

Mathematical Physics · Physics 2013-11-12 Luisa Fermo , Andrea Tosin

World models have gained significant attention as a promising approach for autonomous driving. By emulating human-like perception and decision-making processes, these models can predict and adapt to dynamic environments. Existing methods…

Robotics · Computer Science 2025-12-03 Huiqian Li , Wei Pan , Haodong Zhang , Jin Huang , Zhihua Zhong

We introduce a general formulation for an implicit equation-free method in the setting of slow-fast systems. First, we give a rigorous convergence result for equation-free analysis showing that the implicitly defined coarse-level time…

Dynamical Systems · Mathematics 2015-08-03 Christian Marschler , Jan Sieber , Rainer Berkemer , Atsushi Kawamoto , Jens Starke

The essential distinction between the fundamental diagram approach and three-phase theory is the existence of the unique space-gap-speed relationship. In order to verify this relationship, empirical data are analyzed with the following…

Cellular Automata and Lattice Gases · Physics 2016-08-11 Jun-fang Tian , Martin Treiber , Bin Jia , Wen-yi Zhang

The Driving World Model (DWM), which focuses on predicting scene evolution during the driving process, has emerged as a promising paradigm in the pursuit of autonomous driving (AD). DWMs enable AD systems to better perceive, understand, and…

Computer Vision and Pattern Recognition · Computer Science 2026-02-03 Sifan Tu , Xin Zhou , Dingkang Liang , Xingyu Jiang , Yumeng Zhang , Xiaofan Li , Xiang Bai

Despite the availability of large empirical data sets and the long history of traffic modeling, the theory of traffic congestion on freeways is still highly controversial. In this contribution, we compare Kerner's three-phase traffic theory…

Physics and Society · Physics 2011-08-25 Martin Treiber , Arne Kesting , Dirk Helbing

Microscopic traffic flow models can be distinguished in lane-based or lane-free depending on the degree of lane-discipline. This distinction holds true only if motorcycles are neglected in lane-based traffic. In cities, as opposed to…

Social and Information Networks · Computer Science 2022-10-26 Georg Anagnostopoulos , Nikolas Geroliminis

Based on a detailed microscopic test scenario motivated by recent empirical studies of single-vehicle data, several cellular automaton models for traffic flow are compared. We find three levels of agreement with the empirical data: 1)…

Statistical Mechanics · Physics 2009-11-10 Wolfgang Knospe , Ludger Santen , Andreas Schadschneider , Michael Schreckenberg

Autonomous driving has rapidly evolved through synergistic developments in hardware and artificial intelligence. This comprehensive review investigates traffic datasets and simulators as dual pillars supporting autonomous vehicle (AV)…

Robotics · Computer Science 2025-08-28 Supriya Sarker , Brent Maples , Iftekharul Islam , Muyang Fan , Christos Papadopoulos , Weizi Li

This paper serves as an introduction and overview of the potentially useful models and methodologies from artificial intelligence (AI) into the field of transportation engineering for autonomous vehicle (AV) control in the era of mixed…

Artificial Intelligence · Computer Science 2020-07-13 Xuan Di , Rongye Shi

This paper deals with the Cauchy Problem for a PDE-ODE model, where a system of two conservation laws, namely the Two-Phase macroscopic model, is coupled with an ordinary differential equation describing the trajectory of an autonomous…

Analysis of PDEs · Mathematics 2023-08-15 Mauro Garavello , Francesca Marcellini

Computer Vision has played a major role in Intelligent Transportation Systems (ITS) and traffic surveillance. Along with the rapidly growing automated vehicles and crowded cities, the automated and advanced traffic management systems (ATMS)…

Computer Vision and Pattern Recognition · Computer Science 2022-07-05 Mahdi Rezaei , Mohsen Azarmi , Farzam Mohammad Pour Mir

Most car-following models show a transition from laminar to ``congested'' flow and vice versa. Deterministic models often have a density range where a disturbance needs a sufficiently large critical amplitude to move the flow from the…

Statistical Mechanics · Physics 2007-05-23 Kai Nagel , Christopher Kayatz , Peter Wagner

Optical flow and disparity are two informative visual features for autonomous driving perception. They have been used for a variety of applications, such as obstacle and lane detection. The concept of "U-V-Disparity" has been widely…

Robotics · Computer Science 2023-08-04 Yi Feng , Ruge Zhang , Jiayuan Du , Qijun Chen , Rui Fan

In the simulation-based testing and evaluation of autonomous vehicles (AVs), how background vehicles (BVs) drive directly influences the AV's driving behavior and further impacts the testing result. Existing simulation platforms use either…

Systems and Control · Electrical Eng. & Systems 2021-02-05 Lin Liu , Shuo Feng , Yiheng Feng , Xichan Zhu , Henry X. Liu

High-risk traffic zones such as intersections are a major cause of collisions. This study leverages deep generative models to enhance the safety of autonomous vehicles in an intersection context. We train a 1000-step denoising diffusion…

Robotics · Computer Science 2025-07-17 Juanran Wang , Marc R. Schlichting , Mykel J. Kochenderfer

This paper proposes a method for modeling human driver interactions that relies on multi-output gaussian processes. The proposed method is developed as a refinement of the game theoretical hierarchical reasoning approach called "level-k…

Machine Learning · Computer Science 2022-01-06 Cem Okan Yaldiz , Yildiray Yildiz
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