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This paper introduces a novel benchmark to study the impact and relationship of built environment elements on pedestrian collision prediction, intending to enhance environmental awareness in autonomous driving systems to prevent pedestrian…

In this paper we present a numerical study of some variations of the Hughes model for pedestrian flow under different types of congestion effects. The general model consists of a coupled non-linear PDE system involving an eikonal equation…

Numerical Analysis · Mathematics 2016-11-22 Elisabetta Carlini , Adriano Festa , Francisco J. Silva

Pedestrian trajectory prediction is the key technology in many applications for providing insights into human behavior and anticipating human future motions. Most existing empirical models are explicitly formulated by observed human…

Computer Vision and Pattern Recognition · Computer Science 2024-02-28 Wei Xiang , Haoteng Yin , He Wang , Xiaogang Jin

Increasing effort is put into the development of methods for learning mechanistic models from data. This task entails not only the accurate estimation of parameters but also a suitable model structure. Recent work on the discovery of…

Machine Learning · Computer Science 2024-07-01 Justin N. Kreikemeyer , Philipp Andelfinger , Adelinde M. Uhrmacher

We consider the role of non-localities in speed-density data used to fit fundamental diagrams from vehicle trajectories. We demonstrate that the use of anticipated densities results in a clear classification of speed-density data into…

Applications · Statistics 2023-09-01 Jing Liu , Fangfang Zheng , Boxi Yu , Saif Jabari

Micro-Doppler-based target classification capabilities of the automotive radars can provide high reliability and short latency to the future active safety automotive features. A large number of pedestrians surrounding vehicle in practical…

Signal Processing · Electrical Eng. & Systems 2018-08-02 Petro Khomchuk , Inna Stainvas , Igal Bilik

Hemodynamics in the aorta from computational fluid dynamics (CFD) simulations can provide a comprehensive analysis of relevant cardiovascular diseases. Coupling the three-element Windkessel model with the patient-specific CFD simulation to…

Fluid Dynamics · Physics 2022-07-14 Zongze Li , Wenbin Mao

This paper develops a macroscopic, activity-based model of urban active mobility using nonintrusive sensor data. It introduces attendance functions to describe spatio-temporal travel patterns between activities and formulates the…

Methodology · Statistics 2026-05-14 Romain Azaïs , Adrien Marion , Florian Patout

The dynamics of biological systems, from proteins to cells to organisms, is complex and stochastic. To decipher their physical laws, we need to bridge between experimental observations and theoretical modeling. Thanks to progress in…

Soft Condensed Matter · Physics 2024-06-05 Pierre Ronceray

This paper constructs individual-specific density forecasts for a panel of firms or households using a dynamic linear model with common and heterogeneous coefficients as well as cross-sectional heteroskedasticity. The panel considered in…

Econometrics · Economics 2021-10-06 Laura Liu

A generalized approach to Wang-Landau simulations, macroscopically constrained Wang-Landau, is proposed to simulate the density of states of a system with multiple macroscopic order parameters. The method breaks a multidimensional…

Statistical Mechanics · Physics 2017-05-11 Chor-Hoi Chan , Gregory Brown , Per Arne Rikvold

Models in systems biology are mathematical descriptions of biological processes that are used to answer questions and gain a better understanding of biological phenomena. Dynamic models represent the network through rates of the production…

Biomolecules · Quantitative Biology 2020-10-14 Ewelina Weglarz-Tomczak , Jakub M. Tomczak , Agoston E. Eiben , Stanley Brul

We present a new transport-based approach to efficiently perform sequential Bayesian inference of static model parameters. The strategy is based on the extraction of conditional distribution from the joint distribution of parameters and…

Methodology · Statistics 2023-08-29 Paul-Baptiste Rubio , Youssef Marzouk , Matthew Parno

Subject-specific modeling is a powerful tool in cardiovascular research, providing insights beyond the reach of current clinical diagnostics. Limitations in available clinical data require the incorporation of uncertainty into models to…

Applications · Statistics 2025-07-16 Amirreza Kachabi , Sofia Altieri Correa , Naomi C. Chesler , Mitchel J. Colebank

For the simulation of pedestrians a method is introduced to find routing alternatives from any origin position to a given destination area in a given geometry composed of walking areas and obstacles. The method includes a parameter which…

Physics and Society · Physics 2014-07-15 Tobias Kretz , Karsten Lehmann , Ingmar Hofsäß

Motion is a fundamental cue for scene analysis and human activity understan- ding in videos. It can be encoded in trajectories for tracking objects and for action recognition, or in form of flow to address behaviour analysis in crowded…

Computer Vision and Pattern Recognition · Computer Science 2015-09-30 Eduardo M. Pereira , Jaime S. Cardoso , Ricardo Morla

Planning an autonomous vehicle's (AV) path in a space shared with pedestrians requires reasoning about pedestrians' future trajectories. A practical pedestrian trajectory prediction algorithm for the use of AVs needs to consider the effect…

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

Pedestrian behaviours tend to depend on the type of facility. Therefore accurate predictions of pedestrians movements in complex geometries (including corridor, bottleneck or intersection) are difficult to achieve for classical models with…

Physics and Society · Physics 2018-02-01 Antoine Tordeux , Mohcine Chraibi , Armin Seyfried , Andreas Schadschneider

This paper presents an event-driven way finding algorithm for pedestrians in an evacuation scenario, which operates on a graph-based structure. The motivation of each pedestrian is to leave the facility. The events used to redirect…

Other Computer Science · Computer Science 2011-03-22 A. U. Kemloh Wagoum , A. Seyfried , S. Holl

Predicting how a dynamical unit evolves over time - how an individual ages, an epidemic spreads, or a physical system degrades - typically requires dense longitudinal tracking. When only extremely sparse or entirely cross-sectional data is…

Machine Learning · Computer Science 2026-05-25 Christian Lagemann , Kai Lagemann , Steven L. Brunton , Sach Mukherjee
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