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Related papers: PDE Traffic Observer Validated on Freeway Data

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Accurate roadway travel-time prediction is foundational to transportation systems analysis, yet widespread reliance on either data-intensive congestion models or overly na\"ive heuristics limits scalability and practical adoption in…

In this work, we propose an alternative stochastic model for the fundamental diagram of traffic flow with minimal number of parameters. Our approach is based on a mesoscopic viewpoint of the traffic system in terms of the dynamics of…

Physics and Society · Physics 2016-02-23 Adriano Francisco Siqueira , Carlos Jose Todero Peixoto , Chen Wu , Wei-Liang Qian

We present an algorithm to identify days that exhibit the seemingly paradoxical behaviour of high traffic flow and, simultaneously, a striking absence of traffic jams. We introduce the notion of high-performance days to refer to these days.…

Physics and Society · Physics 2020-03-09 Bo Klaasse , Rik Timmerman , Tessel van Ballegooijen , Marko Boon , Gerard Eijkelenboom

Traffic flow modeling spans a wide range of mathematical approaches, from microscopic descriptions of individual vehicle dynamics to macroscopic models based on aggregate quantities. A fundamental challenge in macroscopic modeling lies in…

Optimization and Control · Mathematics 2025-12-18 Stephan Gerster , Giuseppe Visconti

This article investigates the use of a model-based neural-network for the traffic reconstruction problem using noisy measurements coming from probe vehicles. The traffic state is assumed to be the density only, modeled by a partial…

Optimization and Control · Mathematics 2020-11-18 John Liu , Matthieu Barreau , Mladen Cicic , Karl H. Johansson

This paper quantifies the effect of speed cameras on road traffic collisions using an approximate Bayesian doubly-robust (DR) causal inference estimation method. Previous empirical work on this topic, which shows a diverse range of…

Applications · Statistics 2019-08-20 Daniel J Graham , Cian Naik , Emma J McCoy , Haojie Li

The widescale deployment of Autonomous Vehicles (AV) seems to be imminent despite many safety challenges that are yet to be resolved. It is well known that there are no universally agreed Verification and Validation (VV) methodologies to…

Robotics · Computer Science 2020-03-05 Dhanoop Karunakaran , Stewart Worrall , Eduardo Nebot

We propose a novel and pragmatic framework for traffic scene perception with roadside cameras. The proposed framework covers a full-stack of roadside perception pipeline for infrastructure-assisted autonomous driving, including object…

Computer Vision and Pattern Recognition · Computer Science 2022-06-22 Zhengxia Zou , Rusheng Zhang , Shengyin Shen , Gaurav Pandey , Punarjay Chakravarty , Armin Parchami , Henry X. Liu

Scene flow provides crucial motion information for autonomous driving. Recent LiDAR scene flow models utilize the rigid-motion assumption at the instance level, assuming objects are rigid bodies. However, these instance-level methods are…

Computer Vision and Pattern Recognition · Computer Science 2026-04-29 Jialong Wu , Marco Braun , Dominic Spata , Matthias Rottmann

In this paper we propose two numerical algorithms to solve a coupled PDE-ODE system which models a slow vehicle (bottleneck) moving on a road together with other cars. The resulting system is fully coupled because the dynamics of the slow…

Dynamical Systems · Mathematics 2021-03-22 Gabriella Bretti , Emiliano Cristiani , Corrado Lattanzio , Amelio Maurizi , Benedetto Piccoli

Recent applications of a new methodology to measure fundamental traffic relations on freeways shows that many of the critical parameters of the flow-density and speed-spacing diagrams depend on vehicle length. In response to this fact, we…

Physics and Society · Physics 2019-02-19 W. Marques , A. R. Mendez , R. M. Velasco

We review our analytical and numerical results obtained on the microscopic Follow-The-Leader (FTL) many particle approximation of one-dimensional conservation laws. More precisely, we introduce deterministic particle schemes for the Hughes…

Numerical Analysis · Mathematics 2016-11-03 Marco Di Francesco , Simone Fagioli , Massimiliano D. Rosini , Giovanni Russo

In this paper, we consider the two phases macroscopic traffic model introduced in [P. Goatin, The Aw-Rascle vehicular traffic flow with phase transitions, Mathematical and Computer Modeling 44 (2006) 287-303]. We first apply the wave-front…

Numerical Analysis · Mathematics 2016-02-11 Mohamed Benyahia , Massimiliano Daniele Rosini

Traffic simulation software is used by transportation researchers and engineers to design and evaluate changes to roadways. These simulators are driven by models of microscopic driver behavior from which macroscopic measures like flow and…

Machine Learning · Computer Science 2023-07-21 Franklin Abodo

Current evaluation methods for autonomous driving prediction models rely heavily on simplistic metrics such as Average Displacement Error (ADE) and Final Displacement Error (FDE). While these metrics offer basic performance assessments,…

Robotics · Computer Science 2025-10-14 Feifei Liu , Haozhe Wang , Zejun Wei , Qirong Lu , Yiyang Wen , Xiaoyu Tang , Jingyan Jiang , Zhijian He

In this paper we study robust output tracking and disturbance rejection of linear partial differential equation (PDE) models. We focus on demonstrating how the abstract internal model based controller design methods developed for "regular…

Optimization and Control · Mathematics 2024-07-16 Lassi Paunonen , Jukka-Pekka Humaloja

We study the phase diagram of the continuum traffic flow model of a highway with an on-ramp. Using an open boundary condition, traffic states and metastabilities are investigated numerically for several representative values of the upstream…

Statistical Mechanics · Physics 2009-10-31 H. Y. Lee , H. -W. Lee , D. Kim

The last decades have witnessed the breakthrough of autonomous vehicles (AVs), and the perception capabilities of AVs have been dramatically improved. Various sensors installed on AVs, including, but are not limited to, LiDAR, radar, camera…

Signal Processing · Electrical Eng. & Systems 2019-10-08 Wei Ma , Sean Qian

The main motivation of this work is to assess the validity of a LWR traffic flow model to model measurements obtained from trajectory data, and propose extensions of this model to improve it. A formulation for a discrete dynamical system is…

Signal Processing · Electrical Eng. & Systems 2023-12-06 Mike Pereira , Pinar Boyraz Baykas , Balázs Kulcsár , Annika Lang

Accurate prediction of travel time is an essential feature to support Intelligent Transportation Systems (ITS). The non-linearity of traffic states, however, makes this prediction a challenging task. Here we propose to use dynamic linear…

Machine Learning · Computer Science 2020-09-03 Semin Kwak , Nikolas Geroliminis