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This paper presents a novel approach to the description and understanding of two-dimensional binary cellular automata with the Moore neighborhood that preserve the number of active cells. Such dynamical systems are known to successfully…

Dynamical Systems · Mathematics 2025-12-10 B. Wolnik , D. M. Falkiewicz , W. Bołt , A. Rutkowski , B. De Baets

Calibration and validation techniques are crucial in assessing the descriptive and predictive power of car-following models and their suitability for analyzing traffic flow. Using real and generated floating-car and trajectory data, we…

Physics and Society · Physics 2014-03-21 Martin Treiber , Arne Kesting

This article presents a state feedback control design strategy for the stabilization of a vehicle along a reference collision avoidance maneuver. The stabilization of the vehicle is achieved through a combination of steering, acceleration…

Optimization and Control · Mathematics 2021-02-16 Penco Dario , Davins-Valldaura Joan , Godoy Emmanuel , Kvieska Pedro , Valmorbida Giorgio

In this paper, we present a stochastic queuing model for the road traffic, which captures the stationary density-flow relationships in both uncongested and congestion conditions. The proposed model is based on the $M/g/c/c$ state dependent…

Performance · Computer Science 2017-01-02 Nacira Guerrouahane , Djamil Aissani , Louiza Bouallouche-Medjkoune , Nadir Farhi

The parameters of a discrete stationary Markov model are transition probabilities between states. Traditionally, data consist in sequences of observed states for a given number of individuals over the whole observation period. In such a…

Computation · Statistics 2012-04-30 Alberto Pasanisi , Shuai Fu , Nicolas Bousquet

In this paper, we propose a novel model that describes how the traffic evolution on a highway stretch is affected by the presence of a service station. The presented model enhances the classical CTM dynamics by adding the dynamics…

Systems and Control · Electrical Eng. & Systems 2022-09-15 Carlo Cenedese , Michele Cucuzzella , Antonella Ferrara , John Lygeros

The present paper proposes a novel interpretation of the widely scattered states (called synchronized traffic) stimulated by Kerner's hypotheses about the existence of a multitude of metastable states in the fundamental diagram. Using…

Soft Condensed Matter · Physics 2009-11-07 Ihor Lubashevsky , Reinhard Mahnke , Peter Wagner , Sergey Kalenkov

We study analytically a simple game theoretical model of heterogeneous interacting agents. We show that the stationary state of the system is described by the ground state of a disordered spin model which is exactly solvable within the…

Statistical Mechanics · Physics 2009-10-31 D. Challet , M. Marsili , R. Zecchina

This paper addresses a data-driven framework, modeling expert driving skills for performance-based haptic assistance using neural networks (NNs). We have built a haptic driving training simulator to collect expert driving data and to…

Human-Computer Interaction · Computer Science 2021-02-23 Hojin Lee , Hyoungkyun Kim , Seungmoon Choi

A generalized optimal velocity model is analyzed, where the optimal velocity function depends not only on the headway of each car but also the headway of the immediately preceding one. The stability condition of the model is derived by…

Pattern Formation and Solitons · Physics 2009-11-07 Shiro Sawada

Real-world control applications in complex and uncertain environments require adaptability to handle model uncertainties and robustness against disturbances. This paper presents an online, output-feedback, critic-only, model-based…

Systems and Control · Electrical Eng. & Systems 2023-04-25 Tochukwu Elijah Ogri , Zachary I. Bell , Rushikesh Kamalapurkar

We propose a multi-agent based computational framework for modeling decision-making and strategic interaction at micro level for smart vehicles in a smart world. The concepts of Markov game and best response dynamics are heavily leveraged.…

Multiagent Systems · Computer Science 2022-01-05 Qi Dai , Xunnong Xu , Wen Guo , Suzhou Huang , Dimitar Filev

We propose three models for the traffic of vehicles within a network formed by sites (cities, car-rental agencies, parking lots, etc.) and connected by two-way arteries (roads, highways), that allow forecasting the vehicular flux in a…

Physics and Society · Physics 2017-10-25 Dino Otero , Diógenes Galetti , Salomon S. Mizrahi

In Markov-chain Monte Carlo simulations, estimating statistical errors or confidence intervals of numerically obtained values is an essential task. In this paper, we review several methods for error estimation, such as simple empirical…

Statistical Mechanics · Physics 2021-12-23 Yoshihiko Nishikawa , Jun Takahashi , Takashi Takahashi

We discuss various properties of Probabilistic Cellular Automata, such as the structure of the set of stationary measures and multiplicity of stationary measures (or phase transition) for reversible models.

Probability · Mathematics 2016-04-28 Paolo Dai Pra , Pierre-Yves Louis , Sylvie Roelly

In this paper we show an effective means of integrating data driven frameworks to sampling based optimal control to vastly reduce the compute time for easy adoption and adaptation to real time applications such as on-road autonomous driving…

Robotics · Computer Science 2023-10-23 Kaustab Pal , Aditya Sharma , Mohd Omama , Parth N. Shah , K. Madhava Krishna

Understanding on-road vehicle behaviour from a temporal sequence of sensor data is gaining in popularity. In this paper, we propose a pipeline for understanding vehicle behaviour from a monocular image sequence or video. A monocular…

Computer Vision and Pattern Recognition · Computer Science 2020-05-13 Sravan Mylavarapu , Mahtab Sandhu , Priyesh Vijayan , K Madhava Krishna , Balaraman Ravindran , Anoop Namboodiri

Besides interacting correctly with other vehicles, automated vehicles should also be able to react in a safe manner to vulnerable road users like pedestrians or cyclists. For a safe interaction between pedestrians and automated vehicles,…

Computer Vision and Pattern Recognition · Computer Science 2023-08-21 Adrian Holzbock , Alexander Tsaregorodtsev , Vasileios Belagiannis

Capturing global contextual representations by exploiting long-range pixel-pixel dependencies has shown to improve semantic segmentation performance. However, how to do this efficiently is an open question as current approaches of utilising…

Computer Vision and Pattern Recognition · Computer Science 2021-01-05 Qinghui Liu , Michael Kampffmeyer , Robert Jenssen , Arnt-Børre Salberg

City traffic is a dynamic system of enormous complexity. Modeling and predicting city traffic flow remains to be a challenge task and the main difficulties are how to specify the supply and demands and how to parameterize the model. In this…

Other Computer Science · Computer Science 2016-12-09 Yucheng Hu , Minwei Li , Hao Liu , Xiaolu Guo , Xiaowei Wang , Tiejun Li