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Human mobility patterns deeply affect the dynamics of many social systems. In this paper, we empirically analyze the real-world human movements based GPS records, and observe rich scaling properties in the temporal-spatial patterns as well…

Physics and Society · Physics 2015-06-15 Xiang-Wen Wang , Xiao-Pu Han , Bing-Hong Wang

Given that a group of cities follows a scaling law connecting urban population with socio-economic or infrastructural metrics (transversal scaling), should we expect that each city would follow the same behavior over time (longitudinal…

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

Transport is an important function in many network systems and understanding its behavior on biological, social, and technological networks is crucial for a wide range of applications. However, it is a property that is not well-understood…

Disordered Systems and Neural Networks · Physics 2009-11-13 Lazaros K. Gallos , Chaoming Song , Shlomo Havlin , Hernan A. Makse

We demonstrate the emergence of scaling laws in the benchmark top versus QCD jet classification problem in collider physics. Six distinct physically-motivated classifiers exhibit power-law scaling of the binary cross-entropy test loss as a…

High Energy Physics - Phenomenology · Physics 2023-12-06 Joshua Batson , Yonatan Kahn

Climate science is critical for understanding both the causes and consequences of changes in global temperatures and has become imperative for decisive policy-making. However, climate science studies commonly require addressing complex…

Machine Learning · Computer Science 2020-09-23 Juan Carrillo , Daniel Garijo , Mark Crowley , Rober Carrillo , Yolanda Gil , Katherine Borda

Superlinear scaling in cities, which appears in sociological quantities such as economic productivity and creative output relative to urban population size, has been observed but not been given a satisfactory theoretical explanation. Here…

Physics and Society · Physics 2009-11-13 Samuel Arbesman , Jon M. Kleinberg , Steven H. Strogatz

Sharing rides could drastically improve the efficiency of car and taxi transportation. Unleashing such potential, however, requires understanding how urban parameters affect the fraction of individual trips that can be shared, a quantity…

Physics and Society · Physics 2016-11-01 Remi Tachet , Oleguer Sagarra , Paolo Santi , Giovanni Resta , Michael Szell , Steven Strogatz , Carlo Ratti

Scaling laws guide the development of large language models (LLMs) by offering estimates for the optimal balance of model size, tokens, and compute. More recently, loss-to-loss scaling laws that relate losses across pretraining datasets and…

Machine Learning · Computer Science 2026-05-21 Prasanna Mayilvahanan , Thaddäus Wiedemer , Sayak Mallick , Matthias Bethge , Wieland Brendel

The question of whether urbanization contributes to increasing carbon dioxide emissions has been mainly investigated via scaling relationships with population or population density. However, these approaches overlook the correlations…

Physics and Society · Physics 2019-07-23 Haroldo V. Ribeiro , Diego Rybski , Jürgen P. Kropp

Scaling describes how a given quantity $Y$ that characterizes a system varies with its size $P$. For most complex systems it is of the form $Y\sim P^\beta$ with a nontrivial value of the exponent $\beta$, usually determined by regression…

Physics and Society · Physics 2019-10-16 Marc Barthelemy

Urban areas play an unprecedented role in potentially mitigating climate change and supporting sustainable development. In light of the rapid urbanisation in many parts on the globe, it is crucial to understand the relationship between…

Physics and Society · Physics 2018-03-19 Ramana Gudipudi , Diego Rybski , Matthias K. B. Lüdeke , Bin Zhou , Zhu Liu , Jürgen P. Kropp

The proliferation of human-AI ecosystems involving human interaction with algorithms, such as assistants and recommenders, raises concerns about large-scale social behaviour. Despite evidence of such phenomena across several contexts, the…

Multiagent Systems · Computer Science 2024-07-30 Giuliano Cornacchia , Mirco Nanni , Dino Pedreschi , Luca Pappalardo

Mobility analysis is a crucial element in the research area of transportation systems. Forecasting traffic information offers a viable solution to address the conflict between increasing transportation demands and the limitations of…

Machine Learning · Computer Science 2025-02-24 Zijian Zhang , Yujie Sun , Zepu Wang , Yuqi Nie , Xiaobo Ma , Ruolin Li , Peng Sun , Xuegang Ban

There is a contradiction at the heart of our current understanding of individual and collective mobility patterns. On one hand, a highly influential stream of literature on human mobility driven by analyses of massive empirical datasets…

Physics and Society · Physics 2021-09-16 Laura Alessandretti , Ulf Aslak , Sune Lehmann

Scaling laws in ecology, intended both as functional relationships among ecologically-relevant quantities and the probability distributions that characterize their occurrence, have long attracted the interest of empiricists and…

Populations and Evolution · Quantitative Biology 2017-10-19 Silvia Zaoli , Andrea Giometto , Amos Maritan , Andrea Rinaldo

Air pollution in cities, especially NO\textsubscript{2}, is linked to numerous health problems, ranging from mortality to mental health challenges and attention deficits in children. While cities globally have initiated policies to curtail…

Machine Learning · Computer Science 2025-01-03 Mohamed R. Ibrahim , Terry Lyons

Research done during the previous century established our Standard Cosmological Model. There are many details still to be filled in, but few would seriously doubt the basic premise. Past surveys have revealed that the large-scale…

Astrophysics · Physics 2008-11-26 Bernard J. T. Jones , Vicent J. Martinez , Enn Saar , Virginia Trimble

Commuting is a key mechanism that governs the dynamics of cities. Despite its importance, very little is known of the properties and mechanisms underlying this crucial urban process. Here, we capitalize on $\sim$ 50 million individuals'…

Physics and Society · Physics 2022-04-28 Lei Dong , Paolo Santi , Yu Liu , Siqi Zheng , Carlo Ratti

Understanding how people move in the urban area is important for solving urbanization issues, such as traffic management, urban planning, epidemic control, and communication network improvement. Leveraging recent availability of large…

Social and Information Networks · Computer Science 2019-05-27 Yuren Zhou , Billy Pik Lik Lau , Chau Yuen , Bige Tunçer , Erik Wilhelm