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We provide a numerical realisation of an optimal control problem for pedestrian motion with agents that was analysed in Herzog, Pietschmann, Winkler: "Optimal Control of Hughes' Model for Pedestrian Flow via Local Attraction.", arXiv…

Optimization and Control · Mathematics 2023-01-09 Jan-Frederik Pietschmann , Ailyn Stötzner , Max Winkler

This paper presents a new spatial-temporal nonlocal traffic flow model formulated to overcome the boundedness limitations inherent in classical local formulations. The model introduces an adaptive kernel that captures both spatial and…

Numerical Analysis · Mathematics 2026-03-30 Animesh Biswas , Archie Huang , Shaurya Agarwal , Christopher Housholder

In emergency management for mass gathering, the knowledge about crowd types can highly assist with providing timely response and effective resource allocation. Crowd monitoring can be achieved using computer vision based approaches and…

Computers and Society · Computer Science 2016-06-03 Minh Quan Ngo , Pari Delir Haghighi , Frada Burstein

Many human social phenomena, such as cooperation, the growth of settlements, traffic dynamics and pedestrian movement, appear to be accessible to mathematical descriptions that invoke self-organization. Here we develop a model of pedestrian…

Statistical Mechanics · Physics 2015-06-25 Dirk Helbing , Joachim Keltsch , Peter Molnar

Modeling of urban traffic flows is required due to the complexity of their successful forecasting, as well as due to the impact of various random factors on them, and the complexity of transport systems in modern cities. Forecasting of…

Physics and Society · Physics 2023-05-02 Yekimov Sergiy

Data-driven simulation of pedestrian dynamics is an incipient and promising approach for building reliable microscopic pedestrian models. We propose a methodology based on generalized regression neural networks, which does not have to deal…

Physics and Society · Physics 2019-07-19 Rafael F. Martin , Daniel R. Parisi

Increasing attention is being given to the modeling and simulation of traffic flow and crowd movement, two phenomena that both deal with interactions between pedestrians and cars in many situations. In particular, crowd simulation is…

Multiagent Systems · Computer Science 2019-12-10 Mingliang Xu , Chaochao Li , Pei Lv , Wei Chen , Zhigang Deng , Bing Zhou , Dinesh Manocha

Understanding pattern formation in crossing pedestrian flows is essential for analyzing and managing high-density crowd dynamics in urban environments. This study presents two complementary methodological approaches to detect and…

Physics and Society · Physics 2025-04-24 Piotr Nyczka , Pratik Mullick

In recent years, several approaches for modelling pedestrian dynamics have been proposed and applied e.g. for design of egress routes. However, so far not much attention has been paid to their 'quantitative' validation. This unsatisfactory…

Physics and Society · Physics 2008-10-13 A. Seyfried , M. Boltes , J. Kähler , W. Klingsch , A. Portz , T. Rupprecht , A. Schadschneider , B. Steffen , A. Winkens

Crowd counting, i.e., estimation number of the pedestrian in crowd images, is emerging as an important research problem with the public security applications. A key component for the crowd counting systems is the construction of counting…

Computer Vision and Pattern Recognition · Computer Science 2019-02-13 Xingjiao Wu , Yingbin Zheng , Hao Ye , Wenxin Hu , Jing Yang , Liang He

Meta-population networks are effective tools for capturing population movement across distinct regions, but the assumption of well-mixed regions fails to capture the reality of population higher-order interactions. As a multidimensional…

Physics and Society · Physics 2024-06-18 Yanyi Nie , Yanbing Liu , Qixuan Cao , Tao Lin , Wei Wang

Consider briefly the equations of fluid dynamics-they describe the enormous wealth of detail in all the interacting physical elements of a fluid flow-whereas in applications we want to deal with a description of just that which is…

chao-dyn · Physics 2016-08-31 A. J. Roberts

The influence of cohesion among members of dyads is investigated in scenarios characterized by uni-directional flow by means of a discrete model: a corridor and the egress from a room with a bottleneck of varying width are simulated. The…

Multiagent Systems · Computer Science 2017-11-01 Luca Crociani , Yiping Zeng , Andrea Gorrini , Giuseppe Vizzari , Weiguo Song

Empirical data on the dynamics of human face-to-face interactions across a variety of social venues have recently revealed a number of context-independent structural and temporal properties of human contact networks. This universality…

Physics and Society · Physics 2016-07-13 Michele Starnini , Andrea Baronchelli , Romualdo Pastor-Satorras

Nonlocality is important in realistic mathematical models of physical and biological systems when local models fail to capture the essential dynamics and interactions that occur over a range of distances. This review illustrates different…

Quantitative Methods · Quantitative Biology 2025-02-14 Swadesh Pal , Roderick Melnik

We analyze a nonlocal PDE model describing the dynamics of adaptation of a phenotypically structured population, under the effects of mutation and selection, in a changing environment. Previous studies have analyzed the large-time behavior…

Analysis of PDEs · Mathematics 2020-09-25 Lionel Roques , Florian Patout , Olivier Bonnefon , Guillaume Martin

Many models account for the traffic flow of road users but few take the details of local interactions into consideration and how they could deteriorate into safety-critical situations. Building on the concept of sensorimotor control, we…

Machine Learning · Computer Science 2021-10-22 Yi-Shin Lin , Aravinda Ramakrishnan Srinivasan , Matteo Leonetti , Jac Billington , Gustav Markkula

Focusing on a specific crowd dynamics situation, including real life experiments and measurements, our paper targets a twofold aim: (1) we present a Bayesian probabilistic method to estimate the value and the uncertainty (in the form of a…

Data Analysis, Statistics and Probability · Physics 2018-04-12 Alessandro Corbetta , Adrian Muntean , Federico Toschi , Kiamars Vafayi

In this contribution first results of experiments on pedestrian flow through bottlenecks are presented and then compared to simulation results obtained with the Social Force Model in the Vissim simulation framework. Concerning the…

Multiagent Systems · Computer Science 2008-09-10 Tobias Kretz , Stefan Hengst , Peter Vortisch

Reduced-order modelling and system identification can help us figure out the elementary degrees of freedom and the underlying mechanisms from the high-dimensional and nonlinear dynamics of fluid flow. Machine learning has brought new…

Fluid Dynamics · Physics 2021-04-13 Nan Deng , Luc R. Pastur , Bernd R. Noack
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