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Modern city governance relies heavily on crowdsourcing to identify problems such as downed trees and power lines. A major concern is that residents do not report problems at the same rates, with heterogeneous reporting delays directly…

Applications · Statistics 2023-12-07 Zhi Liu , Uma Bhandaram , Nikhil Garg

The hierarchical product of networks represents a natural tool for building large networks out of two smaller subnetworks: a primary subnetwork and a secondary subnetwork. Here we study the dynamics of diffusion and synchronization…

Adaptation and Self-Organizing Systems · Physics 2017-10-11 Per Sebastian Skardal

As a class of generative artificial intelligence frameworks inspired by statistical physics, diffusion models have shown extraordinary performance in synthesizing complicated data distributions through a denoising process gradually guided…

Machine Learning · Computer Science 2026-04-23 Fangjun Hu , Guangkuo Liu , Yifan F. Zhang , Xun Gao

Diffusions are a successful technique to sample from high-dimensional distributions. The target distribution can be either explicitly given or learnt from a collection of samples. They implement a diffusion process whose endpoint is a…

Machine Learning · Computer Science 2025-09-03 Andrea Montanari

Understanding the spatio-temporal dynamics of cities is in the heart of many applications including urban planning, zoning, and real-estate construction. So far, much of our understanding about urban dynamics came from traditional surveys…

Social and Information Networks · Computer Science 2018-07-18 Sofiane Abbar , Tahar Zanouda , Noora Al-Emadi , Rachida Zegour

Given the rapid recent trend of urbanization, a better understanding of how urban infrastructure mediates socioeconomic interactions and economic systems is of vital importance. While the accessibility of location-enabled devices as well as…

In the past decade, cities have experienced rapid growth, expansion, and changes in their community structure. Many aspects of critical urban infrastructure are closely coupled with the human communities that they serve. Urban communities…

Social and Information Networks · Computer Science 2018-12-12 Weisi Guo , Guillem Mosquera Donate , Stephen Law , Samuel Johnson , Maria Liakata , Alan Wilson

In this paper we analyze urban spatial segregation phenomenon in terms of the income distribution over a population, and inflationary parameter weighting the evolution of housing prices. For this, we develop a discrete, spatially extended…

Adaptation and Self-Organizing Systems · Physics 2007-08-29 Antonio Aguilera , Edgardo Ugalde

Studies of human mobility increasingly rely on digital sensing, the large-scale recording of human activity facilitated by digital technologies. Questions of variability and population representativity, however, in patterns seen from these…

Physics and Society · Physics 2018-09-06 Enwei Zhu , Maham Khan , Philipp Kats , Shreya Santosh Bamne , Stanislav Sobolevsky

Social media are transforming global communication and coordination and provide unprecedented opportunities for studying socio-technical domains. Here we study global dynamical patterns of communication on Twitter across many scales.…

Physics and Society · Physics 2016-02-22 Alfredo J. Morales , Vaibhav Vavilala , Rosa M. Benito , Yaneer Bar-Yam

Human trajectory data is crucial in urban planning, traffic engineering, and public health. However, directly using real-world trajectory data often faces challenges such as privacy concerns, data acquisition costs, and data quality. A…

Machine Learning · Computer Science 2025-11-05 Qingyue Long , Can Rong , Tong Li , Yong Li

This study develops a new method to quantify neighborhood activity levels at high spatial and temporal resolutions and test whether, and to what extent, behavioral responses to social distancing policies vary with socioeconomic and…

Computers and Society · Computer Science 2020-08-05 Boyeong Hong , Bartosz Bonczak , Arpit Gupta , Lorna Thorpe , Constantine E. Kontokosta

Diffusion models have been widely used in time series and spatio-temporal data, enhancing generative, inferential, and downstream capabilities. These models are applied across diverse fields such as healthcare, recommendation, climate,…

Machine Learning · Computer Science 2025-12-09 Yiyuan Yang , Ming Jin , Haomin Wen , Chaoli Zhang , Yuxuan Liang , Lintao Ma , Yi Wang , Chenghao Liu , Bin Yang , Zenglin Xu , Shirui Pan , Qingsong Wen

We present a novel method for analysing socio-spatial segregation in cities by considering constraints imposed by transportation networks. Using a multilayered network approach, we model the interaction probabilities of socio-economic…

Physics and Society · Physics 2023-09-27 Mateo Neira , Carlos Molinero , Stephen Marshall , Elsa Arcaute

We consider a model for a population in a heterogeneous environment, with logistic type local population dynamics, under the assumption that individuals can switch between two different nonzero rates of diffusion. Such switching behavior…

Analysis of PDEs · Mathematics 2020-01-14 Robert Stephen Cantrell , Chris Cosner , Xiao Yu

The amount of data that is being gathered about cities is increasing in size and specificity. However, despite this wealth of information, we still have little understanding of what really drives the processes behind urbanisation. In this…

Physics and Society · Physics 2015-11-30 Rémi Louf

Understanding current energy consumption behavior in communities is critical for informing future energy use decisions and enabling efficient energy management. Urban energy models, which are used to simulate these energy use patterns,…

Computational Engineering, Finance, and Science · Computer Science 2026-04-03 Saumya Sinha , Alexandre Cortiella , Rawad El Kontar , Andrew Glaws , Ryan King , Patrick Emami

Understanding the morphology of an urban system is an important step toward unveiling the dynamical processes of its growth and development. At the foundation of every urban system, transportation system is undeniably a crucial component in…

Physics and Society · Physics 2019-04-23 Hoai Nguyen Huynh , Evgeny Makarov , Erika Fille Legara , Christopher Monterola , Lock Yue Chew

Many large cities are found at locations with certain first nature advantages. Yet, those exogenous locational features may not be the most potent forces governing the spatial pattern of cities. In particular, population size, spacing and…

General Economics · Economics 2019-08-27 Tomoya Mori

Urban inequality is a major challenge for cities in the 21st century. This inequality is reflected in the spatial income structure of cities which evolves in time through various processes. Gentrification is a well-known illustration of…

Physics and Society · Physics 2023-05-01 Vincent Verbavatz , Marc Barthelemy