English
Related papers

Related papers: Second Order Physics-Informed Learning of Road Den…

200 papers

Physics-informed deep learning (PIDL)-based models have recently garnered remarkable success in traffic state estimation (TSE). However, the prior knowledge used to guide regularization training in current mainstream architectures is based…

Machine Learning · Computer Science 2024-09-04 Ting Wang , Ye Li , Rongjun Cheng , Guojian Zou , Takao Dantsujic , Dong Ngoduy

Learning a policy using only observational data is challenging because the distribution of states it induces at execution time may differ from the distribution observed during training. We propose to train a policy by unrolling a learned…

Machine Learning · Computer Science 2019-01-10 Mikael Henaff , Alfredo Canziani , Yann LeCun

Second-order macroscopic continuum models have been constantly improving for decades to reproduce the empirical observations. Recently, a series of experimental studies have suggested that the stochastic factors contribute significantly to…

Physics and Society · Physics 2022-09-15 Marouane Bouadi , Bin Jia , Rui Jiang , Xingang Li , Zi-You Gao

Recently we proposed an extension to the traffic model of Aw, Rascle and Greenberg. The extended traffic model can be written as a hyperbolic system of balance laws and numerically reproduces the reverse $\lambda$ shape of the fundamental…

Physics and Society · Physics 2009-11-11 Florian Siebel , Wolfram Mauser

Simulation of the real-world traffic can be used to help validate the transportation policies. A good simulator means the simulated traffic is similar to real-world traffic, which often requires dense traffic trajectories (i.e., with a high…

Machine Learning · Computer Science 2021-03-24 Hua Wei , Chacha Chen , Chang Liu , Guanjie Zheng , Zhenhui Li

This work presents a collapsed generalized Aw-Rascle-Zhang (CGARZ) model, which fits into a generic second order model (GSOM) framework. GSOMs augment the evolution of the traffic density by a second state variable characterizing a property…

Physics and Society · Physics 2017-02-14 Shimao Fan , Ye Sun , Benedetto Piccoli , Benjamin Seibold , Daniel B. Work

This paper addresses an open problem in traffic modeling: the second-order macroscopic node problem. A second-order macroscopic traffic model, in contrast to a first-order model, allows for variation of driving behavior across…

Systems and Control · Computer Science 2019-06-20 Matthew A. Wright , Roberto Horowitz

We study the derivation of generic high order macroscopic traffic models from a follow-the-leader particle description via a kinetic approach. First, we recover a third order traffic model as the hydrodynamic limit of an Enskog-type kinetic…

Physics and Society · Physics 2021-04-09 Felisia Angela Chiarello , Benedetto Piccoli , Andrea Tosin

This paper develops boundary observer for estimation of congested freeway traffic states based on Aw-Rascle-Zhang(ARZ) partial differential equations (PDE) model. Traffic state estimation refers to acquisition of traffic state information…

Optimization and Control · Mathematics 2019-05-01 Huan Yu , Alexandre M. Bayen , Miroslav Krstic

This paper presents an approach to trajectory-centric learning control based on contraction metrics and disturbance estimation for nonlinear systems subject to matched uncertainties. The approach uses deep neural networks to learn uncertain…

Systems and Control · Electrical Eng. & Systems 2024-07-25 Pan Zhao , Ziyao Guo , Yikun Cheng , Aditya Gahlawat , Hyungsoo Kang , Naira Hovakimyan

This paper proposes a physics-informed learning framework for a class of recurrent neural networks tailored to large-scale and networked systems. The approach aims to learn control-oriented models that preserve the structural and stability…

Systems and Control · Electrical Eng. & Systems 2026-03-27 Daniele Ravasio , Claudia Sbardi , Marcello Farina , Andrea Ballarino

The optimal operation of transportation systems is often susceptible to unexpected disruptions. Many established control strategies reliant on mathematical models can struggle with real-world disruptions, leading to significant divergence…

Systems and Control · Electrical Eng. & Systems 2026-03-24 Linghang Sun , Michail A. Makridis , Alexander Genser , Cristian Axenie , Margherita Grossi , Anastasios Kouvelas

Traffic congestion in dense urban centers presents an economical and environmental burden. In recent years, the availability of vehicle-to-anything communication allows for the transmission of detailed vehicle states to the infrastructure…

In this paper, we present a new approach that generalizes the existing second-order hydrodynamic traffic models. In the proposed approach, we use the expression for the relative velocity of disturbances propagation in traffic flow. We show…

This paper studies steady-state traffic flow on a ring road with up- and down- slopes using a semi-discrete model. By exploiting the relations between the semi-discrete and the continuum models, a steady-state solution is uniquely…

Mathematical Physics · Physics 2015-06-15 Chun-Xiu Wu , Peng Zhang , S. C. Wong , Keechoo Choi

The NGSIM trajectory data sets provide longitudinal and lateral positional information for all vehicles in certain spatiotemporal regions. Velocity and acceleration information cannot be extracted directly since the noise in the NGSIM…

Physics and Society · Physics 2009-03-13 Christian Thiemann , Martin Treiber , Arne Kesting

Most of the current studies on autonomous vehicle decision-making and control tasks based on reinforcement learning are conducted in simulated environments. The training and testing of these studies are carried out under rule-based…

Systems and Control · Electrical Eng. & Systems 2024-04-22 Yuan Lin , Antai Xie , Xiao Liu

This paper develops boundary observer for estimation of congested freeway traffic states based on Aw-Rascle-Zhang (ARZ) partial differential equations (PDE) model. Traffic state estimation refers to acquisition of traffic state information…

Optimization and Control · Mathematics 2019-06-11 Huan Yu , Qijian Gan , Alexandre M. Bayen , Miroslav Krstic

Many safety-critical scientific and engineering systems evolve according to differential-algebraic equations (DAEs), where dynamical behavior is constrained by physical laws and admissibility conditions. In practice, these systems operate…

Machine Learning · Computer Science 2026-04-14 Minxing Zheng , Zewei Deng , Liyan Xie , Shixiang Zhu

High-fidelity reconstruction of fluids from sparse multiview RGB videos remains a formidable challenge due to the complexity of the underlying physics as well as complex occlusion and lighting in captures. Existing solutions either assume…