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As autonomous robots move into complex, dynamic real-world environments, they must learn to navigate safely in real time, yet anticipating all possible behaviors is infeasible. We propose a composable, model-free reinforcement learning…

Robotics · Computer Science 2026-02-16 Xinhuan Sang , Abdelrahman Abdelgawad , Roberto Tron

This paper presents a new mathematical model of vehicular traffic, based on the methods of the generalized kinetic theory, in which the space of microscopic states (position and velocity) of the vehicles is genuinely discrete. While in the…

Mathematical Physics · Physics 2013-11-12 Luisa Fermo , Andrea Tosin

This paper deals with a Boltzmann-type kinetic model describing the interplay between vehicle dynamics and safety aspects in vehicular traffic. Sticking to the idea that the macroscopic characteristics of traffic flow, including the…

Physics and Society · Physics 2017-01-12 Paolo Freguglia , Andrea Tosin

In this paper, we deal with a size-variable group of pedestrians moving in a unknown confined environment and searching for an exit. Pedestrian dynamics are simulated by means of a recently introduced microscopic (agent-based) model,…

Physics and Society · Physics 2019-06-28 Emiliano Cristiani , Daniele Peri

In this paper we develop a framework for parameter estimation in macroscopic pedestrian models using individual trajectories -- microscopic data. We consider a unidirectional flow of pedestrians in a corridor and assume that the velocity…

Analysis of PDEs · Mathematics 2019-03-26 Susana N. Gomes , Andrew M. Stuart , Marie-Therese Wolfram

Collisions and contacts of elastic materials are numerically and theoretically investigated. Using a two-dimensional spring-mass model with defect particles under the free boundary condition, we reproduce the Hertzian contact theory at…

Statistical Mechanics · Physics 2009-11-11 Hiroto Kuninaka , Hisao Hayakawa

This article proposes a nonlinear microscopic dynamical model for autonomous electric vehicles (A-EVs) that considers battery energy efficiency in the car-following dynamics. The model builds upon the Optimal Velocity Model (OVM), with the…

Dynamical Systems · Mathematics 2025-11-26 Yuneil Yeo , Jaewoong Lee , Scott Moura , Maria Laura Delle Monache

Vehicle-pedestrian interaction (VPI) is one of the most challenging tasks for automated driving systems. The design of driving strategies for such systems usually starts with verifying VPI in simulation. This work proposed an improved…

Robotics · Computer Science 2020-05-19 Dongfang Yang , Keith Redmill , Umit Ozguner

The progress of image processing during recent years allows the measurement of pedestrian characteristics on a "microscopic" scale with low costs. However, density and flow are concepts of fluid mechanics defined for the limit of infinitely…

Physics and Society · Physics 2015-05-14 Bernhard Steffen , Armin Seyfried

Predicting pedestrians' trajectories is a crucial capability for autonomous vehicles' safe navigation, especially in spaces shared with pedestrians. Pedestrian motion in shared spaces is influenced by both the presence of vehicles and other…

Robotics · Computer Science 2023-08-15 Mahsa Golchoubian , Moojan Ghafurian , Kerstin Dautenhahn , Nasser Lashgarian Azad

We investigate the collective dynamics of self-propelled droplets, confined in a one dimensional micro-fluidic channel. On one hand, neighboring droplets align and form large trains of droplets moving in the same direction. On the other…

Soft Condensed Matter · Physics 2020-05-14 Pierre Illien , Charlotte de Blois , Yang Liu , Marjolein N. van der Linden , Olivier Dauchot

The simulation of pedestrian crowd that reflects reality is a major challenge for researches. Several crowd simulation models have been proposed such as cellular automata model, agent-based model, fluid dynamic model, etc. It is important…

Multiagent Systems · Computer Science 2017-08-15 Wonho Kang , Youngnam Han

Accurate prediction of pedestrian trajectories is crucial for enhancing the safety of autonomous vehicles and reducing traffic fatalities involving pedestrians. While numerous studies have focused on modeling interactions among pedestrians…

Computer Vision and Pattern Recognition · Computer Science 2025-01-24 Mohammad Ali Rezaei , Fardin Ayar , Ehsan Javanmardi , Manabu Tsukada , Mahdi Javanmardi

Traffic congestion and collisions represent significant economic, environmental, and social challenges worldwide. Traditional traffic management approaches have shown limited success in addressing these complex, dynamic problems. To address…

Machine Learning · Computer Science 2025-06-05 Mira Nuthakki

This paper discusses a simple theoretical throw model for frontal vehicle-pedestrian collisions. The model is based on the simple assumption that pedestrian movement after impact can be approximated by movement of a mass point. Two methods…

Classical Physics · Physics 2008-12-02 Milan Batista

Active diffusiophoresis - swimming through interaction with a self-generated, neutral, solute gradient - is a paradigm for autonomous motion at the micrometer scale. We study this propulsion mechanism within a linear response theory.…

Statistical Mechanics · Physics 2015-05-30 Benedikt Sabass , Udo Seifert

We provide a derivation of quantum theory in which the existence of an energy observable that generates the reversible dynamics follows directly from information-theoretic principles. Our first principle is that every reversible dynamics is…

Quantum Physics · Physics 2026-05-13 Lorenzo Giannelli , Giulio Chiribella

A series of accidents caused by crowd within the last decades evoked a lot of scientific interest in modeling the movement of pedestrian crowds. Based on discrete element method, a granular dynamic model, in which human body is simplified…

Physics and Society · Physics 2016-01-19 Peng Lin , Jian Ma , Siuming Lo

In this paper we propose a new modeling technique for vehicular traffic flow, designed for capturing at a macroscopic level some effects, due to the microscopic granularity of the flow of cars, which would be lost with a purely continuous…

Mathematical Physics · Physics 2014-03-25 Emiliano Cristiani , Benedetto Piccoli , Andrea Tosin

We present a 2-dimensional cellular automaton model for the simulation of pedestrian dynamics. The model is extremely efficient and allows simulations of large crowds faster than real time since it includes only nearest-neighbour…

Statistical Mechanics · Physics 2007-05-23 Andreas Schadschneider
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