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How can we learn the laws underlying the dynamics of stochastic systems when their trajectories are sampled sparsely in time? Existing methods either require temporally resolved high-frequency observations, or rely on geometric arguments…

Dynamical Systems · Mathematics 2025-12-30 Dimitra Maoutsa

This paper deals with the early results of a new model of pedestrian flow, conceived within a measure-theoretical framework. The modeling approach consists in a discrete-time Eulerian macroscopic representation of the system via a family of…

Mathematical Physics · Physics 2011-03-29 Benedetto Piccoli , Andrea Tosin

Are there hidden dynamical common patterns in the evolution of social and cultural history? While the growing availability of digitized social data invites us to answer this question, prevailing quantitative methods often rely on…

Social and Information Networks · Computer Science 2026-01-27 Youngkyoung Bae , Hajime Shimao , Seungwoong Ha , Luna Yang , David Wolpert

Pedestrian trajectory prediction is a prominent research track that has advanced towards modelling of crowd social and contextual interactions, with extensive usage of Long Short-Term Memory (LSTM) for temporal representation of walking…

Computer Vision and Pattern Recognition · Computer Science 2020-07-09 Sirin Haddad , Siew Kei Lam

In this study we derive a single-particle equation of motion, from first-principles, starting out with a microscopic description of a tracer particle in a one-dimensional many-particle system with a general two-body interaction potential.…

Statistical Mechanics · Physics 2015-05-14 Ludvig Lizana , Tobias Ambjornsson , Alessandro Taloni , Eli Barkai , Michael A. Lomholt

The motion of pedestrian crowds (e.g. for simulation of an evacuation situation) can be modeled as a multi-body system of self driven particles with repulsive interaction. We use a few simple situations to determine the simplest allowed…

Physics and Society · Physics 2009-12-04 B. Steffen

The ability to anticipate pedestrian motion changes is a critical capability for autonomous vehicles. In urban environments, pedestrians may enter the road area and create a high risk for driving, and it is important to identify these…

Computer Vision and Pattern Recognition · Computer Science 2023-05-26 Anthony Knittel , Morris Antonello , John Redford , Subramanian Ramamoorthy

In a recent series of papers, we proposed a mathematical model for the dynamics of a group of interacting pedestrians. The model is based on a non-Newtonian potential, that accounts for the need of pedestrians to keep both their interacting…

Physics and Society · Physics 2017-02-13 Francesco Zanlungo , Zeynep Yucel , Takayuki Kanda

In this work, we present a transformer-based framework for predicting future pedestrian states based on clustered historical trajectory data. In previous studies, researchers propose enhancing pedestrian trajectory predictions by using…

Computer Vision and Pattern Recognition · Computer Science 2024-08-29 Kleio Fragkedaki , Frank J. Jiang , Karl H. Johansson , Jonas Mårtensson

In animal societies as well as in human crowds, many observed collective behaviours result from self-organized processes based on local interactions among individuals. However, models of crowd dynamics are still lacking a systematic…

Physics and Society · Physics 2009-09-30 Mehdi Moussaid , Dirk Helbing , Simon Garnier , Anders Johansson , Maud Combe , Guy Theraulaz

Understanding pedestrian dynamics is critical for mitigating crowd-related risks and improving public safety. In this work, we propose a data-driven mesoscopic modeling framework that combines the kinetic theory of active particles with…

Physics and Society · Physics 2026-05-29 Santiago Rosa , Manuel Pulido , Orlando Billoni , Juan Martín Guerrieri , Juan Pablo Agnelli

Pedestrian dynamics models have provided valuable insights into pedestrian interactions, collision avoidance, and self-organized crowd behavior using mathematical, computational, AI-based, and heuristic approaches. However, existing models…

Physics and Society · Physics 2025-04-03 Kanika Jain , Anurag Tripathi , Shankar Prawesh , Indranil Saha Dalal

This paper presents a novel context-based approach for pedestrian motion prediction in crowded, urban intersections, with the additional flexibility of prediction in similar, but new, environments. Previously, Chen et. al. combined…

Machine Learning · Computer Science 2018-06-26 Golnaz Habibi , Nikita Jaipuria , Jonathan P. How

Many living and complex systems exhibit second order emergent dynamics. Limited experimental access to the configurational degrees of freedom results in data that appears to be generated by a non-Markovian process. This poses a challenge in…

Quantitative Methods · Quantitative Biology 2020-07-29 Federica Ferretti , Victor Chardès , Thierry Mora , Aleksandra M. Walczak , Irene Giardina

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

In molecular dynamics simulations and single molecule experiments, observables are usually measured along dynamic trajectories and then averaged over an ensemble ("bundle") of trajectories. Under stationary conditions, the time-evolution of…

Statistical Mechanics · Physics 2018-01-17 Hugues Meyer , Thomas Voigtmann , Tanja Schilling

We present the pedestrian patterns dataset for autonomous driving. The dataset was collected by repeatedly traversing the same three routes for one week starting at different specific timeslots. The purpose of the dataset is to capture the…

Computer Vision and Pattern Recognition · Computer Science 2020-01-08 Kasra Mokhtari , Alan R. Wagner

Uncovering the mechanism behind the scaling law in human trajectories is of fundamental significance in understanding many spatio-temporal phenomena. In combination of the exploration and the preferential returns, we propose a simple…

Physics and Society · Physics 2013-05-24 Xiao-Pu Han , Xiang-Wen Wang , Xiao-Yong Yan , Bing-Hong Wang

Due to the inherent safety concerns associated with traffic movement in unconstrained two-dimensional settings, it is important that pedestrians' and other modes' movements such as bicyclists are modeled as a risk-taking stochastic dynamic…

Physics and Society · Physics 2024-07-30 Mohaiminul Haque , Samer Hamdar , Alireza Talebpour

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
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