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Traditional DTA models of large cities suffer from prohibitive computation times and calibration/validation can become major challenges faced by practitioners. The empirical evidence in 2008 in support of the existence of a Macroscopic…

Analysis of PDEs · Mathematics 2018-12-04 Rafegh Aghamohammadi , Jorge A. Laval

Pedestrian trajectory prediction plays an important role in autonomous driving systems and robotics. Recent work utilizing prominent deep learning models for pedestrian motion prediction makes limited a priori assumptions about human…

Robotics · Computer Science 2024-03-12 Honghui Wang , Weiming Zhi , Gustavo Batista , Rohitash Chandra

This article considers execution and analysis of laboratory experiments of pedestrians moving in a quasi-one-dimensional system with periodic boundary conditions. To analyze characteristics of jams in the system we aim to use the whole…

Physics and Society · Physics 2016-02-10 Verena Ziemer , Armin Seyfried , Andreas Schadschneider

Pedestrian detection is a problem of considerable practical interest. Adding to the list of successful applications of deep learning methods to vision, we report state-of-the-art and competitive results on all major pedestrian datasets with…

Computer Vision and Pattern Recognition · Computer Science 2013-04-03 Pierre Sermanet , Koray Kavukcuoglu , Soumith Chintala , Yann LeCun

We developed a machine vision system to automatically capture the dynamics of pedestrians under four different traffic scenarios. By considering the overhead view of each pedestrian as a digital object, the system processes the image…

Computer Vision and Pattern Recognition · Computer Science 2015-07-28 Louie Vincent A. Ngoho , Jaderick P. Pabico

The success of autonomous systems will depend upon their ability to safely navigate human-centric environments. This motivates the need for a real-time, probabilistic forecasting algorithm for pedestrians, cyclists, and other agents since…

Robotics · Computer Science 2017-06-21 Henry O. Jacobs , Owen K. Hughes , Matthew Johnson-Roberson , Ram Vasudevan

Traffic flow modeling relies heavily on fundamental diagrams. However, deterministic fundamental diagrams, such as single or multi-regime models, cannot capture the uncertainty pattern that underlies traffic flow. To address this…

Applications · Statistics 2024-11-25 Yuan-Zheng Lei , Yaobang Gong , Xianfeng Terry Yang

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 deal with pedestrian modeling, aiming at simulating crowd behavior in normal and emergency scenarios, including highly congested mass events. We are specifically concerned with a new agent-based, continuous-in-space,…

Adaptation and Self-Organizing Systems · Physics 2023-11-23 E. Cristiani , M. Menci , A. Malagnino , G. G. Amaro

We propose in this paper a minimal speed-based pedestrian model for which particle dynamics are intrinsically collision-free. The speed model is an optimal velocity function depending on the agent length (i.e.\ particle diameter), maximum…

Physics and Society · Physics 2015-12-19 Antoine Tordeux , Mohcine Chraibi , Armin Seyfried

Trajectory prediction is a fundamental and challenging task for numerous applications, such as autonomous driving and intelligent robots. Currently, most of existing work treat the pedestrian trajectory as a series of fixed two-dimensional…

Computer Vision and Pattern Recognition · Computer Science 2021-03-17 Pei Lv , Hui Wei , Tianxin Gu , Yuzhen Zhang , Xiaoheng Jiang , Bing Zhou , Mingliang Xu

For pedestrians moving without spatial constraints, extensive research has been devoted to develop methods of density estimation. In this paper we present a new approach based on Voronoi cells, offering a means to estimate density for…

Physics and Society · Physics 2024-11-28 Pratik Mullick , Cécile Appert-Rolland , William H. Warren , Julien Pettré

Experiments under laboratory conditions were carried out to study the ordering in bidirectional pedestrian streams and its influence on the fundamental diagram (density-speed-flow relation). The Voronoi method is used to resolve the fine…

Physics and Society · Physics 2013-12-10 Jun Zhang , Wolfram Klingsch , Andreas Schadschneider , Armin Seyfried

The aim of this paper is to discuss potential advances in PET kinetic models and direct reconstruction of kinetic parameters. As a prominent example we focus on a typical task in perfusion imaging and derive a system of…

Optimization and Control · Mathematics 2014-11-20 Louise Reips , Martin Burger , Ralf Engbers

This paper studies a stochastic model that describes the evolution of vehicle densities in a road network. It is consistent with the class of (deterministic) kinematic wave models, which describe traffic flows on the basis of conservation…

Probability · Mathematics 2021-02-11 Michel Mandjes , Jaap Storm

Discrete pedestrian simulation models are viable alternatives to particle based approaches based on a continuous spatial representation. The effects of discretisation, however, also imply some difficulties in modelling certain phenomena…

Multiagent Systems · Computer Science 2014-02-03 Stefania Bandini , Luca Crociani , Giuseppe Vizzari

We present a formal kinetic derivation of a second order macroscopic traffic model from a stochastic particle model. The macroscopic model is given by a system of hyperbolic partial differential equations (PDEs) with a discontinuous flux…

Mathematical Physics · Physics 2024-03-06 Felisia Angela Chiarello , Simone Göttlich , Thomas Schilliger , Andrea Tosin

The goal of the paper is a rigorous derivation of a macroscopic traffic flow model with a bifurcation or a local perturbation from a microscopic one. The microscopic model is a simple follow-the-leader with random parameters. The random…

Analysis of PDEs · Mathematics 2021-11-16 P Cardaliaguet , N Forcadel

Port-Hamiltonian systems (PHS) theory is a recent but already well-established modelling approach for non-linear physical systems. Some studies have shown lately that PHS frameworks are relevant for modelling and control of swarm and…

Physics and Society · Physics 2023-01-09 Antoine Tordeux , Claudia Totzeck

Starting from interaction rules based on two levels of stochasticity we study the influence of the microscopic dynamics on the macroscopic properties of vehicular flow. In particular, we study the qualitative structure of the resulting…

Statistical Mechanics · Physics 2017-09-06 Giuseppe Visconti , Michael Herty , Gabriella Puppo , Andrea Tosin
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