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Navigating topological transitions in cellular mechanical systems is a significant challenge for existing simulation methods. While abstract models lack predictive capabilities at the cellular level, explicit network representations…

Graphics · Computer Science 2024-04-30 Logan Numerow , Yue Li , Stelian Coros , Bernhard Thomaszewski

Anomaly detection aims to identify data instances that deviate significantly from majority of data, which has been widely used in fraud detection, network security, and industrial quality control. Existing methods struggle with datasets…

Machine Learning · Computer Science 2026-01-29 Yang Cao , Sikun Yang , Xuyun Zhang , Yujiu Yang

A robust and efficient anomaly detection technique is proposed, capable of dealing with crowded scenes where traditional tracking based approaches tend to fail. Initial foreground segmentation of the input frames confines the analysis to…

Computer Vision and Pattern Recognition · Computer Science 2013-04-04 Vikas Reddy , Conrad Sanderson , Brian C. Lovell

This article deals with the experimental study of pedestrian behaviours in some situations of one-dimensional traffic. Participants were pre-organized in a line, and asked to walk either in a straight line with a fast or slow leader, or to…

Physics and Society · Physics 2025-09-09 Cécile Appert-Rolland , Anne-Hélène Olivier , Julien Pettré

Density estimation is a crucial component of many machine learning methods, and manifold learning in particular, where geometry is to be constructed from data alone. A significant practical limitation of the current density estimation…

Classical Analysis and ODEs · Mathematics 2016-01-06 Tyrus Berry , Timothy Sauer

In this study, series of experiments under laboratory conditions were carried out to investigate pedestrian flow through a T-junction, i.e., two branches merging into the main stream. The whole duration of the experiments was recorded by…

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

Given a countable set of points in a continuous space, Voronoi tessellation is an intuitive way of partitioning the space according to the distance to the individual points. As a powerful approach to obtain structural information, it has a…

Soft Condensed Matter · Physics 2020-02-17 Simeon Völkel , Kai Huang

$n$ independent random points drawn from a density $f$ in $R^d$ define a random Voronoi partition. We study the measure of a typical cell of the partition. We prove that the asymptotic distribution of the probability measure of the cell…

Statistics Theory · Mathematics 2015-12-15 Luc Devroye , László Györfi , Gábor Lugosi , Harro Walk

To enhance the evacuation efficiency in partially observable asymmetric-exit evacuation under guidance, a general framework of the dynamic guiding assistant system is presented to investigate the effect of density control. In this…

Physics and Society · Physics 2021-11-16 Fengqiang Gao , Yuyue Yan , Zhihao Chen , Linxiao Zheng , Huan Ren

We conducted a simple experiment in which one pedestrian passed through a crowded area and measured the body-rotational angular velocity with commercial tablets. Then, we developed a new method for predicting crowd density by applying the…

Physics and Society · Physics 2019-03-20 Koki Nagao , Daichi Yanagisawa , Katsuhiro Nishinari

The estimation of probability densities based on available data is a central task in many statistical applications. Especially in the case of large ensembles with many samples or high-dimensional sample spaces, computationally efficient…

Methodology · Statistics 2017-05-04 Daniel W. Meyer

There are different physics-based approaches for analysing pedestrian movement. Physics-based methods like statistical mechanics-based models apply the laws of physics to drive equations for analysing crowd behaviour. This paper will…

Physics and Society · Physics 2022-11-15 Amir Ghorbani

We consider the estimation of densities in multiple subpopulations, where the available sample size in each subpopulation greatly varies. This problem occurs in epidemiology, for example, where different diseases may share similar…

Methodology · Statistics 2021-09-15 Jiaming Qiu , Xiongtao Dai , Zhengyuan Zhu

We observe a realization of a stationary generalized weighted Voronoi tessellation of the d-dimensional Euclidean space within a bounded observation window. Given a geometric characteristic of the typical cell, we use the minus-sampling…

Probability · Mathematics 2019-06-10 Daniela Flimmel , Zbyněk Pawlas , Joseph E. Yukich

A novel algorithm to detect coherent structures with sparse Lagrangian particle tracking data, using Voronoi tessellation and techniques from spectral graph theory, is tested. Neighbouring tracer particles are naturally identified through…

Fluid Dynamics · Physics 2021-07-29 F. A. C. Martins , D. E. Rival

Many methods for modelling spatial processes assume global smoothness properties; such assumptions are often violated in practice. We introduce a method for modelling spatial processes that display heterogeneity or contain discontinuities.…

3D Voronoi's tessellation method was first applied to identify groups of galaxies in the structure of a supercluster. The sample under consideration consists of more than 7000 galaxies of the Local Supercluster (LS) with radial velocities…

Astrophysics · Physics 2008-11-26 O. V. Melnyk , A. A. Elyiv , I. B. Vavilova

We investigate in real-life conditions and with very high accuracy the dynamics of body rotation, or yawing, of walking pedestrians - an highly complex task due to the wide variety in shapes, postures and walking gestures. We propose a…

Physics and Society · Physics 2020-07-21 Joris Willems , Alessandro Corbetta , Vlado Menkovski , Federico Toschi

Pedestrian detection is an initial step to perform outdoor scene analysis, which plays an essential role in many real-world applications. Although having enjoyed the merits of deep learning frameworks from the generic object detectors,…

Computer Vision and Pattern Recognition · Computer Science 2019-12-24 Jialiang Zhang , Lixiang Lin , Yang Li , Yun-chen Chen , Jianke Zhu , Yao Hu , Steven C. H. Hoi

The traditional approach to mobile phone positioning is based on the assumption that the geographical location of a cell tower recorded in a call details record (CDR) is a proxy for a device's location. A Voronoi tessellation is then…

Physics and Society · Physics 2022-02-04 Aleksey Ogulenko , Itzhak Benenson , Itzhak Omer , Barak Alon