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We define and study an inference algorithm based on "belief propagation" (BP) and the Bethe approximation. The idea is to encode into a graph an a priori information composed of correlations or marginal probabilities of variables, and to…

Physics and Society · Physics 2007-05-23 Cyril Furtlehner , Jean-Marc Lasgouttes , Arnaud De La Fortelle

The continuous expansion of the urban traffic sensing infrastructure has led to a surge in the volume of widely available road related data. Consequently, increasing effort is being dedicated to the creation of intelligent transportation…

Neural and Evolutionary Computing · Computer Science 2020-02-17 Alina Patelli , Victoria Lush , Aniko Ekart , Elisabeth Ilie-Zudor

This paper presents a mesoscopic traffic flow model that explicitly describes the spatio-temporal evolution of the probability distributions of vehicle trajectories. The dynamics are represented by a sequence of factor graphs, which enable…

Machine Learning · Statistics 2019-09-25 Saif Eddin Jabari , Deepthi Mary Dilip , DianChao Lin , Bilal Thonnam Thodi

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 work, we propose an algorithm performing short-term predictions of the flux of vehicles on a stretch of road, using past measurements of the flux. This algorithm is based on a physics-aware recurrent neural network. A discretization…

Machine Learning · Computer Science 2023-12-06 Mike Pereira , Annika Lang , Balázs Kulcsár

We introduce a counting process to model the random occurrence in time of car traffic accidents, taking into account some aspects of the self-excitation typical of this phenomenon. By combining methods from probability and differential…

Physics and Society · Physics 2025-05-19 Simone Göttlich , Thomas Schillinger , Andrea Tosin

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

In modern traffic management, one of the most essential yet challenging tasks is accurately and timely predicting traffic. It has been well investigated and examined that deep learning-based Spatio-temporal models have an edge when…

Machine Learning · Computer Science 2023-03-14 Yunjie Huang , Xiaozhuang Song , Yuanshao Zhu , Shiyao Zhang , James J. Q. Yu

We consider the problem of traffic density reconstruction using measurements from probe vehicles (PVs) with a low penetration rate. In other words, the number of sensors is small compared to the number of vehicles on the road. The model…

Optimization and Control · Mathematics 2021-09-23 Matthieu Barreau , Miguel Aguiar , John Liu , Karl Henrik Johansson

Various statistical analysis methods are studied for years to extract accurate trends of network traffic and predict the future load mainly to allocate required resources. Besides, many stochastic modeling techniques are offered to…

Networking and Internet Architecture · Computer Science 2019-12-30 Doğanalp Ergenç , Ertan Onur

Traffic speed prediction is the key to many valuable applications, and it is also a challenging task because of its various influencing factors. Recent work attempts to obtain more information through various hybrid models, thereby…

Machine Learning · Computer Science 2022-07-25 Pengyu Fu , Liang Chu , Zhuoran Hou , Jincheng Hu , Yanjun Huang , Yuanjian Zhang

This paper proposes a new stochastic model of traffic dynamics in Lagrangian coordinates. The source of uncertainty is heterogeneity in driving behavior, captured using driver-specific speed-spacing relations, i.e., parametric uncertainty.…

Systems and Control · Computer Science 2019-08-16 Fangfang Zheng , Saif Eddin Jabari , Henry X. Liu , DianChao Lin

Traffic prediction is a fundamental and vital task in Intelligence Transportation System (ITS), but it is very challenging to get high accuracy while containing low computational complexity due to the spatiotemporal characteristics of…

Artificial Intelligence · Computer Science 2018-11-05 Xiaoyu Wang , Cailian Chen , Yang Min , Jianping He , Bo Yang , Yang Zhang

Full-field traffic state information (i.e., flow, speed, and density) is critical for the successful operation of Intelligent Transportation Systems (ITS) on freeways. However, incomplete traffic information tends to be directly collected…

Machine Learning · Computer Science 2023-04-13 Zhao Zhang , Ding Zhao , Xianfeng Terry Yang

We focus on an interpolation method referred to Bayesian reconstruction in this paper. Whereas in standard interpolation methods missing data are interpolated deterministically, in Bayesian reconstruction, missing data are interpolated…

Machine Learning · Statistics 2015-03-27 Shun Kataoka , Muneki Yasuda , Kazuyuki Tanaka

The optimal information feedback has a significant effect on many socioeconomic systems like stock market and traffic systems aiming to make full use of resources. In this paper, we studied dynamics of traffic flow with real-time…

Data Analysis, Statistics and Probability · Physics 2009-09-29 Dong Chuan-Fei , Ma Xu , Wang Guan-Wen , Sun Xiao-Yan , Wang Bing-Hong

Traffic simulators act as an essential component in the operating and planning of transportation systems. Conventional traffic simulators usually employ a calibrated physical car-following model to describe vehicles' behaviors and their…

Artificial Intelligence · Computer Science 2022-07-12 Guanjie Zheng , Hanyang Liu , Kai Xu , Zhenhui Li

We propose a statistical learning-based traffic speed estimation method that uses sparse vehicle trajectory information. Using a convolutional encoder-decoder based architecture, we show that a well trained neural network can learn…

Physics and Society · Physics 2020-06-15 Ouafa Benkraouda , Bilal Thonnam Thodi , Hwasoo Yeo , Monica Menendez , Saif Eddin Jabari

Autonomous agents must be able to safely interact with other vehicles to integrate into urban environments. The safety of these agents is dependent on their ability to predict collisions with other vehicles' future trajectories for…

Robotics · Computer Science 2020-02-07 Andrew Patterson , Aditya Gahlawat , Naira Hovakimyan

We consider the traffic data reconstruction problem. Suppose we have the traffic data of an entire city that are incomplete because some road data are unobserved. The problem is to reconstruct the unobserved parts of the data. In this…

Machine Learning · Statistics 2014-02-07 Shun Kataoka , Muneki Yasuda , Cyril Furtlehner , Kazuyuki Tanaka
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