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We describe and validate a novel data-driven approach to the real time detection and classification of traffic anomalies based on the identification of atypical fluctuations in the relationship between density and flow. For aggregated data…

Applications · Statistics 2020-12-22 Kieran Kalair , Colm Connaughton

We provide a model to understand how adverse weather conditions modify traffic flow dynamic. We first prove that the microscopic Free Flow Speed of the vehicles is changed and then provide a rule to model this change. For this, we consider…

Statistical mechanics of a small system of cars on a single-lane road is developed. The system is not characterized by a Hamiltonian but by a conditional probability of a velocity of a car for the given velocity and distance of the car…

Physics and Society · Physics 2009-11-13 Anton Šurda

To study gap acceptance behaviour one needs the distribution (or probability density function) of gaps in the opposing stream. Further, in these times of widespread availability of large computing powers, traffic simulation has emerged as a…

Applications · Statistics 2025-12-10 Ankita Sharma , Partha Chakroborty , Pranamesh Chakraborty

Vehicle-infrastructure communication opens up new ways to improve traffic flow efficiency at signalized intersections. In this study, we assume that equipped vehicles can obtain information about switching times of relevant traffic lights…

Physics and Society · Physics 2014-04-01 Martin Treiber , Arne Kesting

Rectified flow (Liu et al., 2022; Liu, 2022; Wu et al., 2023) is a method for defining a transport map between two distributions, and enjoys popularity in machine learning, although theoretical results supporting the validity of these…

Statistics Theory · Mathematics 2025-12-11 Gonzalo Mena , Arun Kumar Kuchibhotla , Larry Wasserman

Importance sampling approximates expectations with respect to a target measure by using samples from a proposal measure. The performance of the method over large classes of test functions depends heavily on the closeness between both…

Computation · Statistics 2016-09-01 Daniel Sanz-Alonso

An extensive body of research deals with estimating the correlation and the Hurst parameter of Internet traffic traces. The significance of these statistics is due to their fundamental impact on network performance. The coverage of Internet…

Networking and Internet Architecture · Computer Science 2012-08-15 Amr Rizk , Zdravko Bozakov , Markus Fidler

Estimation models from connected vehicles often assume low level parameters such as arrival rates and market penetration rates as known or estimate them in real-time. At low market penetration rates, such parameter estimators produce large…

Applications · Statistics 2020-11-19 Gurcan Comert , Negash Begashaw

Trajectory estimation involves determining the trajectory of a mobile robot by combining prior knowledge about its dynamic model with noisy observations of its state obtained using sensors. The accuracy of such a procedure is dictated by…

Robotics · Computer Science 2026-02-20 Abhishek Goudar , Angela P. Schoellig

In this paper we study dependencies of fundamental diagrams, time gap distributions, and velocity-distance relations on vehicle types, lanes and/or measurement sites. We also propose measurement and aggregation methods that have more…

Statistical Mechanics · Physics 2007-05-23 Benno Tilch , Dirk Helbing

The prediction of traffic congestion can serve a crucial role in making future decisions. Although many studies have been conducted regarding congestion, most of these could not cover all the important factors (e.g., weather conditions). We…

Machine Learning · Computer Science 2025-04-22 Rafed Muhammad Yasir , Moumita Asad , Naushin Nower , Mohammad Shoyaib

Autonomous systems, like vehicles or robots, require reliable, accurate, fast, resource-efficient, scalable, and low-latency trajectory predictions to get initial knowledge about future locations and movements of surrounding objects for…

Computer Vision and Pattern Recognition · Computer Science 2024-10-11 Manuel Hetzel , Hannes Reichert , Konrad Doll , Bernhard Sick

We have developed a method to determine the transient surface density and transient rate for any given survey, using Monte-Carlo simulations. This method allows us to determine the transient rate as a function of both the flux and the…

High Energy Astrophysical Phenomena · Physics 2017-01-11 Dario Carbone , Alexander J. van der Horst , Ralph A. M. J. Wijers , Antonia Rowlinson

Model extrapolation to unseen flow is one of the biggest challenges facing data-driven turbulence modeling, especially for models with high dimensional inputs that involve many flow features. In this study we review previous efforts on…

Fluid Dynamics · Physics 2020-01-16 Shirui Luo , Jiahuan Cui , Madhu Vellakal , Jian Liu , Enyi Jiang , Seid Koric , Volodymyr Kindratenko

Elliptic flow, $v_2$, and triangular flow, $v_3$, are to a good approximation linearly proportional to the corresponding spatial anisotropies of the initial density profile, $\varepsilon_2$ and $\varepsilon_3$. Using event-by-event…

Nuclear Theory · Physics 2017-05-25 Giuliano Giacalone , Jacquelyn Noronha-Hostler , Jean-Yves Ollitrault

Two new methods are presented for estimating car-following model parameters using data collected from the Adaptive Cruise Control (ACC) enabled vehicles. The vehicle is assumed to follow a constant time headway relative velocity model in…

Applications · Statistics 2022-12-16 Yanbing Wang , George Gunter , Matthew Nice , Daniel B. Work

We propose an efficient method for reconstructing traffic density with low penetration rate of probe vehicles. Specifically, we rely on measuring only the initial and final positions of a small number of cars which are generated using…

Dynamical Systems · Mathematics 2026-02-13 Nail Baloul , Amaury Hayat , Thibault Liard , Pierre Lissy

In this paper, we aim at developing new methods to join machine learning techniques and macroscopic differential models for vehicular traffic estimation and forecast. It is well known that data-driven and model-driven approaches have…

Machine Learning · Computer Science 2024-12-06 Maya Briani , Emiliano Cristiani , Elia Onofri

The emerging connected and automated vehicle technologies allow vehicles to perceive and process traffic information in a wide spatial range. Modeling nonlocal interactions between connected vehicles and analyzing their impact on traffic…

Analysis of PDEs · Mathematics 2023-07-06 Kuang Huang , Qiang Du