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Related papers: Distilling human mobility models with symbolic reg…

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Many real-world systems can be described by mathematical models that are human-comprehensible, easy to analyze and help explain the system's behavior. Symbolic regression is a method that can automatically generate such models from data.…

Neural and Evolutionary Computing · Computer Science 2023-06-28 Jiří Kubalík , Erik Derner , Robert Babuška

The massive amounts of geolocation data collected from mobile phone records has sparked an ongoing effort to understand and predict the mobility patterns of human beings. In this work, we study the extent to which social phenomena are…

Physics and Society · Physics 2016-11-18 Nicolas Ponieman , Alejo Salles , Carlos Sarraute

Human mobility is a key factor in spatial disease dynamics and related phenomena. In computational models host mobility is typically modelled by diffusion in space or on metapolulation networks. Alternatively, an effective force of…

Physics and Society · Physics 2012-03-07 Vitaly Belik , Theo Geisel , Dirk Brockmann

We develop two statistical models for space-time abundance data based on a stochastic underlying continuous individual movement. In contrast to current models for abundance in statistical ecology, our models exploit the explicit connection…

Applications · Statistics 2024-09-24 Ricardo Carrizo Vergara , Marc Kéry , Trevor Hefley

The attraction measure, scaling exponent, and impedance function of the gravity model are redefined using the concepts from fractals and spatial complexity. Firstly, the attraction measure of spatial interaction in human systems is defined…

Physics and Society · Physics 2013-06-18 Yanguang Chen , Feng Xu

Human mobility research concerns spatiotemporal individual and population movement. Accurate modeling and prediction of human mobility can provide opportunities to monitor, manage and optimize human movement for improved social-economic…

Social and Information Networks · Computer Science 2022-02-15 Liantao Li , Yang Yang

Understanding human mobility is essential for applications ranging from urban planning to public health. Traditional mobility models such as flow networks and colocation matrices capture only pairwise interactions between discrete…

Social and Information Networks · Computer Science 2025-03-25 Prathyush Sambaturu , Bernardo Gutierrez , Moritz U. G. Kraemer

Human mobility regularity is crucial for understanding urban dynamics and informing decision-making processes. This study first quantifies the periodicity in complex human mobility data as a sparse identification of dominant positive…

Social and Information Networks · Computer Science 2025-09-15 Xinyu Chen , Qi Wang , Yunhan Zheng , Nina Cao , HanQin Cai , Jinhua Zhao

Introduced in its contemporary form by George Kingsley Zipf in 1946, but with roots that go back to the work of Gaspard Monge in the 18th century, the gravity law is the prevailing framework to predict population movement, cargo shipping…

Physics and Society · Physics 2012-04-20 Filippo Simini , Marta C. González , Amos Maritan , Albert-László Barabási

The movements of individuals within and among cities influence critical aspects of our society, such as well-being, the spreading of epidemics, and the quality of the environment. When information about mobility flows is not available for a…

Machine Learning · Computer Science 2022-05-02 Filippo Simini , Gianni Barlacchi , Massimiliano Luca , Luca Pappalardo

Human mobility plays a crucial role in transportation, urban planning, and public health. Advances in deep learning and the availability of diverse mobility data have transformed mobility modeling. However, existing deep learning models…

Machine Learning · Computer Science 2024-11-05 Xishun Liao , Qinhua Jiang , Brian Yueshuai He , Yifan Liu , Chenchen Kuai , Jiaqi Ma

The study of human mobility is crucial due to its impact on several aspects of our society, such as disease spreading, urban planning, well-being, pollution, and more. The proliferation of digital mobility data, such as phone records, GPS…

Machine Learning · Computer Science 2022-05-02 Massimiliano Luca , Gianni Barlacchi , Bruno Lepri , Luca Pappalardo

This work examines the fairness of generative mobility models, addressing the often overlooked dimension of equity in model performance across geographic regions. Predictive models built on crowd flow data are instrumental in understanding…

Machine Learning · Computer Science 2024-11-08 Daniel Wang , Jack McFarland , Afra Mashhadi , Ekin Ugurel

Uncovering the mechanism leading to the scaling law in human trajectories is of fundamental importance in understanding many spatiotemporal phenomena. We propose a hierarchical geographical model to mimic the real traffic system, upon which…

Data Analysis, Statistics and Probability · Physics 2015-05-13 Xiaopu Han , Qiang Hao , Binghong Wang , Tao Zhou

The description of complex human mobility patterns is at the core of many important applications ranging from urbanism and transportation to epidemics containment. Data about collective human movements, once scarce, has become widely…

Physics and Society · Physics 2022-11-21 Riccardo Gallotti , Davide Maniscalco , Marc Barthelemy , Manlio De Domenico

Predicting human mobility between locations has practical applications in transportation science, spatial economics, sociology and many other fields. For more than 100 years, many human mobility prediction models have been proposed, among…

Physics and Society · Physics 2021-04-01 Er-Jian Liu , Xiao-Yong Yan

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

Owing to the big data the extension of physical laws on nonmaterial has seen numerous successes, and human mobility is one of the scientific frontier topics. Recent GPS technology has made it possible to trace detailed trajectories of…

Physics and Society · Physics 2022-03-21 Yohei Shida , Jun'ichi Ozaki , Hideki Takayasu , Misako Takayasu

Symbolic regression is the machine learning method for learning functions from data. After a brief overview of the symbolic regression landscape, I will describe the two main challenges that traditional algorithms face: they have an unknown…

Instrumentation and Methods for Astrophysics · Physics 2025-07-18 Harry Desmond

We introduce MESSY estimation, a Maximum-Entropy based Stochastic and Symbolic densitY estimation method. The proposed approach recovers probability density functions symbolically from samples using moments of a Gradient flow in which the…

Machine Learning · Computer Science 2024-02-13 Tony Tohme , Mohsen Sadr , Kamal Youcef-Toumi , Nicolas G. Hadjiconstantinou