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In Part I of this paper series, several macroscopic traffic model elements for mathematically describing freeway networks equipped with managed lane facilities were proposed. These modeling techniques seek to capture at the macroscopic the…

Systems and Control · Electrical Eng. & Systems 2019-08-28 Matthew A. Wright , Roberto Horowitz , Alex A. Kurzhanskiy

We propose a new neural network framework, termed Neural Network Machine Regression (NNMR), which integrates trainable input gating and adaptive depth regularization to jointly perform feature selection and function estimation in an…

Methodology · Statistics 2026-02-03 Jiuchen Zhang , Ling Zhou , Peter Song

The random motion of molecules in living cells has consistently been reported to deviate from standard Brownian motion, a behavior coined as ``anomalous diffusion''. Fluorescence Correlation Spectroscopy (FCS) is a powerful method to…

Quantitative Methods · Quantitative Biology 2024-07-18 Nathan Quiblier , Jan-Michael Rye , Pierre Leclerc , Henri Truong , Abdelkrim Hannou , Laurent Héliot , Hugues Berry

By means of microscopic simulations we show that non-instantaneous adaptation of the driving behaviour to the traffic situation together with the conventional measurement method of flow-density data can explain the observed…

Statistical Mechanics · Physics 2009-11-10 Martin Treiber , Dirk Helbing

As autonomous driving technology progresses, the need for precise trajectory prediction models becomes paramount. This paper introduces an innovative model that infuses cognitive insights into trajectory prediction, focusing on perceived…

Due to the rapid developments in Intelligent Transportation System (ITS) and increasing trend in the number of vehicles on road, abundant of road traffic data is generated and available. Understanding spatio-temporal traffic patterns from…

The precise estimation of macroscopic traffic parameters, such as travel time and fuel consumption, is essential for the optimization of traffic management systems. Despite its importance, the comprehensive acquisition of vehicle trajectory…

Applications · Statistics 2023-12-18 Keke Long , Haotian Shi , Zhiwei Chen , Zhaohui Liang , Xiaopeng Li , Felipe de Souza

This paper addresses the trajectory-tracking problem under uncertain road-surface conditions for autonomous vehicles. We propose a stochastic nonlinear model predictive controller (SNMPC) that learns a tire--road friction model online using…

Systems and Control · Electrical Eng. & Systems 2023-05-09 Sean Vaskov , Rien Quirynen , Marcel Menner , Karl Berntorp

This paper discusses the limitations of existing microscopic traffic models in accounting for the potential impacts of on-ramp vehicles on the car-following behavior of main-lane vehicles on highways. We first surveyed U.S. on-ramps to…

Systems and Control · Electrical Eng. & Systems 2023-05-23 Dustin Holley , Jovin D'sa , Hossein Nourkhiz Mahjoub , Gibran Ali , Behdad Chalaki , Ehsan Moradi-Pari

This paper introduces a Bayesian framework that combines Markov chain Monte Carlo (MCMC) sampling, dimensionality reduction, and neural density estimation to efficiently handle inverse problems that (i) must be solved multiple times, and…

Computational Engineering, Finance, and Science · Computer Science 2026-02-24 Giacomo Bottacini , Matteo Torzoni , Andrea Manzoni

Car-following behavior has been extensively studied using physics-based models, such as the Intelligent Driver Model. These models successfully interpret traffic phenomena observed in the real-world but may not fully capture the complex…

Machine Learning · Computer Science 2021-07-15 Zhaobin Mo , Xuan Di , Rongye Shi

Accurate and robust tracking of surrounding road participants plays an important role in autonomous driving. However, there is usually no prior knowledge of the number of tracking targets due to object emergence, object disappearance and…

Computer Vision and Pattern Recognition · Computer Science 2018-10-03 Jiachen Li , Wei Zhan , Masayoshi Tomizuka

We present a control method for improved repetitive path following for a ground vehicle that is geared towards long-term operation where the operating conditions can change over time and are initially unknown. We use weighted Bayesian…

Robotics · Computer Science 2019-04-10 Christopher D. McKinnon , Angela P. Schoellig

We present a novel Multi-Relational Graph Convolutional Network (MRGCN) based framework to model on-road vehicle behaviors from a sequence of temporally ordered frames as grabbed by a moving monocular camera. The input to MRGCN is a…

Computer Vision and Pattern Recognition · Computer Science 2020-08-17 Sravan Mylavarapu , Mahtab Sandhu , Priyesh Vijayan , K Madhava Krishna , Balaraman Ravindran , Anoop Namboodiri

Autonomous vehicles are expected to navigate in complex traffic scenarios with multiple surrounding vehicles. The correlations between road users vary over time, the degree of which, in theory, could be infinitely large, thus posing a great…

Robotics · Computer Science 2019-10-24 Yaohui Guo , Vinay Varma Kalidindi , Mansur Arief , Wenshuo Wang , Jiacheng Zhu , Huei Peng , Ding Zhao

Temporal collaborative filtering (TCF) methods aim at modelling non-static aspects behind recommender systems, such as the dynamics in users' preferences and social trends around items. State-of-the-art TCF methods employ recurrent neural…

Artificial Intelligence · Computer Science 2020-10-14 Esther Rodrigo Bonet , Duc Minh Nguyen , Nikos Deligiannis

Traffic prediction is a spatiotemporal predictive task that plays an essential role in intelligent transportation systems. Today, graph convolutional neural networks (GCNNs) have become the prevailing models in the traffic prediction…

Machine Learning · Computer Science 2023-06-01 Ta Jiun Ting , Xiaocan Li , Scott Sanner , Baher Abdulhai

Many real-world spatio-temporal processes exhibit nonlinear dynamics that can often be described through stochastic partial differential equations. These models are flexible and scientifically motivated, however, implementing them in a…

Methodology · Statistics 2025-06-30 Madelyn Clinch , Jonathan R. Bradley

In this study, we provide a novel approach for modelling the mixed traffic flow. The basic idea is to integrate models for nonmotorized vehicles (nm-vehicles) with models for motorized vehicles (m-vehicles). Based on the idea, a model for…

Physics and Society · Physics 2007-07-10 X. M. Zhao , B. Jia , Z. Y. Gao

Efficient traffic management is crucial for maintaining urban mobility, especially in densely populated areas where congestion, accidents, and delays can lead to frustrating and expensive commutes. However, existing prediction methods face…

Machine Learning · Computer Science 2023-05-25 Xuhong Wang , Ding Wang , Liang Chen , Yilun Lin