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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

Communication-enabled devices routinely carried by individuals have become pervasive, opening unprecedented opportunities for collecting digital metadata about the mobility of large populations. In this paper, we propose a novel methodology…

Networking and Internet Architecture · Computer Science 2018-11-01 Ghazaleh Khodabandelou , Vincent Gauthier , Marco Fiore , Mounim El-Yacoubi

We propose a novel sparse spatiotemporal dynamic generalized linear model for efficient inference and prediction of bicycle count data. Assuming Poisson distributed counts with spacetime-varying rates, we model the log-rate using…

Human interactions and mobility shape epidemic dynamics by facilitating disease outbreaks and their spatial spread across regions. Traditional models often isolate commuting and random mobility as separate behaviors, focusing either on…

Physics and Society · Physics 2024-12-11 Pablo Valgañón , Antonio Brotons , David Soriano-Paños , Jesús Gómez-Gardeñes

We propose a hierarchy of kinetic and macroscopic models for a system consisting of a large number of interacting pedestrians. The basic interaction rules are derived from earlier work where the dangerousness level of an interaction with…

Mathematical Physics · Physics 2017-09-20 Pierre Degond , Cécile Appert-Rolland , Julien Pettré , Guy Theraulaz

In the age of digital healthcare, passively collected physical activity profiles from wearable sensors are a preeminent tool for evaluating health outcomes. In order to fully leverage the vast amounts of data collected through wearable…

Data subsampling has become widely recognized as a tool to overcome computational and economic bottlenecks in analyzing massive datasets. We contribute to the development of adaptive design for estimation of finite population…

Methodology · Statistics 2024-07-08 Henrik Imberg , Xiaomi Yang , Carol Flannagan , Jonas Bärgman

Rapid developments in streaming data technologies have enabled real-time monitoring of human activity that can deliver high-resolution data on health variables over trajectories or paths carved out by subjects as they conduct their daily…

Methodology · Statistics 2024-09-11 Tomoya Wakayama , Sudipto Banerjee

Tremendous efforts have been put forth on predicting pedestrian trajectory with generative models to accommodate uncertainty and multi-modality in human behaviors. An individual's inherent uncertainty, e.g., change of destination, can be…

Computer Vision and Pattern Recognition · Computer Science 2024-05-14 Yao Liu , Zesheng Ye , Rui Wang , Binghao Li , Quan Z. Sheng , Lina Yao

The Markov-modulated Poisson process is utilised for count modelling in a variety of areas such as queueing, reliability, network and insurance claims analysis. In this paper, we extend the Markov-modulated Poisson process framework through…

Risk Management · Quantitative Finance 2020-08-06 Benjamin Avanzi , Greg Taylor , Bernard Wong , Alan Xian

Mathematical modeling of epidemic spreading has been widely adopted to estimate the threats of epidemic diseases (i.e., the COVID-19 pandemic) as well as to evaluate epidemic control interventions. The indoor place is considered to be a…

Physics and Society · Physics 2022-09-14 Yao Xiao , Mofeng Yang , Zheng Zhu , Hai Yang , Lei Zhang , Sepehr Ghader

Human Activity Recognition from body-worn sensor data poses an inherent challenge in capturing spatial and temporal dependencies of time-series signals. In this regard, the existing recurrent or convolutional or their hybrid models for…

We present a probabilistic generative model for inferring a description of coordinated, recursively structured group activities at multiple levels of temporal granularity based on observations of individuals' trajectories. The model…

Artificial Intelligence · Computer Science 2016-04-26 Ernesto Brau , Colin Dawson , Alfredo Carrillo , David Sidi , Clayton T. Morrison

Cities are living systems where urban infrastructures and their functions are defined and evolved due to population behaviors. Profiling the cities and functional regions has been an important topic in urban design and planning. This paper…

Social and Information Networks · Computer Science 2017-07-14 Lei Shi , Tao Jiang , Ye Zhao , Xiatian Zhang , Yao Lu

Nowadays, human movement in urban spaces can be traced digitally in many cases. It can be observed that movement patterns are not constant, but vary across time and space. In this work,we characterize such spatio-temporal patterns with an…

Social and Information Networks · Computer Science 2016-02-11 Lisette Espín-Noboa , Florian Lemmerich , Philipp Singer , Markus Strohmaier

We present a new class of macroscopic models for pedestrian flows. Each individual is assumed to move towards a fixed target, deviating from the best path according to the instantaneous crowd distribution. The resulting equation is a…

Analysis of PDEs · Mathematics 2011-04-21 Rinaldo M. Colombo , Mauro Garavello , Magali Lécureux-Mercier

In this paper we develop a framework for parameter estimation in macroscopic pedestrian models using individual trajectories -- microscopic data. We consider a unidirectional flow of pedestrians in a corridor and assume that the velocity…

Analysis of PDEs · Mathematics 2019-03-26 Susana N. Gomes , Andrew M. Stuart , Marie-Therese Wolfram

The contribution gives a micro-structural insight into the pedestrian decision process during an egress situation. A method how to extract the decisions of pedestrians from the trajectories recorded during the experiments is introduced. The…

Multiagent Systems · Computer Science 2018-01-08 Pavel Hrabák , Ondřej Ticháček , Vladimíra Sečkárová

In recent years, research and development in nanoscale science and technology have grown significantly, with electrical transport playing a key role. A natural challenge for its description is to shed light on anomalous behaviours observed…

Populations and Evolution · Quantitative Biology 2025-04-10 Sara Bernardi , Paolo Begnamino , Marco Pizzi , Lamberto Rondoni

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