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In this work, we present a method which determines optimal multi-step dynamic mode decomposition (DMD) models via entropic regression, which is a nonlinear information flow detection algorithm. Motivated by the higher-order DMD (HODMD)…

Machine Learning · Statistics 2024-06-19 Christopher W. Curtis , Erik Bollt , Daniel Jay Alford-Lago

In recent years, we have seen scientists attempt to model and explain human dynamics and, in particular, human movement. Many aspects of our complex life are affected by human movements such as disease spread and epidemics modeling, city…

Physics and Society · Physics 2018-11-05 Hugo Barbosa , Fernando Buarque de Lima Neto , Alexandre Evsukoff , Ronaldo Menezes

This paper proposes an algorithm for motion planning among dynamic agents using adaptive conformal prediction. We consider a deterministic control system and use trajectory predictors to predict the dynamic agents' future motion, which is…

In the past decade, large scale mobile phone data have become available for the study of human movement patterns. These data hold an immense promise for understanding human behavior on a vast scale, and with a precision and accuracy never…

Physics and Society · Physics 2016-02-17 Nathalie E. Williams , Timothy A. Thomas , Matthew Dunbar , Nathan Eagle , Adrian Dobra

Ubiquitous mobile devices are generating vast amounts of location-based service data that reveal how individuals navigate and utilize urban spaces in detail. In this study, we utilize these extensive, unlabeled sequences of user…

Machine Learning · Computer Science 2024-06-06 Xinhua Wu , Haoyu He , Yanchao Wang , Qi Wang

Despite the growing popularity of human mobility studies that collect GPS location data, the problem of determining the minimum required length of GPS monitoring has not been addressed in the current statistical literature. In this paper we…

Other Statistics · Statistics 2019-08-28 Zhihang Dong , Yen-Chi Chen , Adrian Dobra

Since the past few decades, human trajectory forecasting has been a field of active research owing to its numerous real-world applications: evacuation situation analysis, deployment of intelligent transport systems, traffic operations, to…

Computer Vision and Pattern Recognition · Computer Science 2021-01-12 Parth Kothari , Sven Kreiss , Alexandre Alahi

We present Latent Diffeomorphic Dynamic Mode Decomposition (LDDMD), a new data reduction approach for the analysis of non-linear systems that combines the interpretability of Dynamic Mode Decomposition (DMD) with the predictive power of…

Machine Learning · Computer Science 2025-08-04 Willem Diepeveen , Jon Schwenk , Andrea Bertozzi

Understanding human mobility is of vital importance for urban planning, epidemiology, and many other fields that aim to draw policies from the activities of humans in space. Despite recent availability of large scale data sets related to…

Physics and Society · Physics 2015-08-18 Oleguer Sagarra , Michael Szell , Paolo Santi , Albert Diaz-Guilera , Carlo Ratti

Accurate human trajectory prediction is crucial for applications such as autonomous vehicles, robotics, and surveillance systems. Yet, existing models often fail to fully leverage the non-verbal social cues human subconsciously communicate…

Computer Vision and Pattern Recognition · Computer Science 2024-12-05 Saeed Saadatnejad , Yang Gao , Kaouther Messaoud , Alexandre Alahi

Motion prediction, recently popularized as world models, refers to the anticipation of future agent states or scene evolution, which is rooted in human cognition, bridging perception and decision-making. It enables intelligent systems, such…

Urbanization and its problems require an in-depth and comprehensive understanding of urban dynamics, especially the complex and diversified lifestyles in modern cities. Digitally acquired data can accurately capture complex human activity,…

Physics and Society · Physics 2022-09-27 Yanni Yang , Alex Pentland , Esteban Moro

Accurate modelling of local population movement patterns is a core contemporary concern for urban policymakers, affecting both the short term deployment of public transport resources and the longer term planning of transport infrastructure.…

Physics and Society · Physics 2019-05-21 Chico Q. Camargo , Jonathan Bright , Scott A. Hale

Accurate modeling of human mobility is critical for tackling urban planning and public health challenges. In undeveloped regions, the absence of comprehensive travel surveys necessitates reconstructing mobility networks from publicly…

Artificial Intelligence · Computer Science 2026-04-28 Jinming Yang , Shaoyu Huang , Zongyuan Huang , Yaohui Jin , Xiaokang Yang , Marta C. Gonzalez , Yanyan Xu

Mobile phone metadata is increasingly used for humanitarian purposes in developing countries as traditional data is scarce. Basic demographic information is however often absent from mobile phone datasets, limiting the operational impact of…

Machine Learning · Computer Science 2017-11-16 Bjarke Felbo , Pål Sundsøy , Alex 'Sandy' Pentland , Sune Lehmann , Yves-Alexandre de Montjoye

In this paper, we extend some ideas of statistical physics to describe the properties of human mobility. From a physical point of view, we consider the statistical empirical laws of private cars mobility, taking advantage of a GPS database…

Physics and Society · Physics 2015-01-12 Riccardo Gallotti , Armando Bazzani , Sandro Rambaldi

The dynamics of human mobility characterizes the trajectories humans follow during their daily activities and is the foundation of processes from epidemic spreading to traffic prediction and information recommendation. In this paper, we…

Physics and Society · Physics 2015-06-16 Zhi-Dan Zhao , Shi-Min Cai , Yang Lu

Human motion prediction is an important and challenging topic that has promising prospects in efficient and safe human-robot-interaction systems. Currently, the majority of the human motion prediction algorithms are based on deterministic…

Robotics · Computer Science 2021-07-15 Jie Xu , Xingyu Chen , Xuguang Lan , Nanning Zheng

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

This paper investigates the impact of human activity and mobility (HAM) in the spreading dynamics of an epidemic. Specifically, it explores the interconnections between HAM and its effect on the early spread of the COVID-19 virus. During…

Physics and Society · Physics 2021-08-06 Shakib Mustavee , Shaurya Agarwal , Chinwendu Enyioha , Suddhasattwa Das