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The traditional approach to the quantitative study of segregation is to employ indices that are selected by ``desirable properties''. Here, we detail how information theory underpins entropy-based indices and demonstrate how desirable…

Physics and Society · Physics 2022-12-15 Boris Barron , Yunus A. Kinkhabwala , Chriss Hess , Matthew Hall , Itai Cohen , Tomás A. Arias

Segregation is a multi-scale phenomenon that requires careful measurement. A segregation index implicitly defines how the demographic compositions of locations are compared. We identify two properties -- mean-minimisation and invariance --…

Physics and Society · Physics 2026-03-17 Rohit Sahasrabuddhe , Renaud Lambiotte

Decomposition analysis is a critical tool for understanding the social and spatial dimensions of segregation and diversity. In this paper, I highlight the conceptual, mathematical, and empirical distinctions between segregation and…

Methodology · Statistics 2024-02-22 Elizabeth Roberto

Income segregation measures the extent to which households choose to live near other households with similar incomes. Sociologists theorize that income segregation can exacerbate the impacts of income inequality, and have developed indices…

Methodology · Statistics 2021-11-24 Matthew Simpson , Scott H. Holan , Christopher K. Wikle , Jonathan R. Bradley

In discriminating between objects from different classes, the more separable these classes are the less computationally expensive and complex a classifier can be used. One thus seeks a measure that can quickly capture this separability…

Methodology · Statistics 2008-12-08 Linda Mthembu , Tshilidzi Marwala

Researchers in many disciplines have previously used a variety of mathematical techniques for analyzing group interactions. Here we use a new metric for this purpose, called 'integrated information' or 'phi.' Phi was originally developed by…

Social and Information Networks · Computer Science 2018-11-21 David Engel , Thomas W. Malone

We introduce a multidimensional, neural-network approach to reveal and measure urban segregation phenomena, based on the Self-Organizing Map algorithm (SOM). The multidimensionality of SOM allows one to apprehend a large number of variables…

Physics and Society · Physics 2018-06-06 Madalina Olteanu , Aurélien Hazan , Marie Cottrell , Julien Randon-Furling

Social media filters combined with recommender systems can lead to the emergence of filter bubbles and polarized groups. In addition, segregation processes of human groups in certain social contexts have been shown to share some…

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

Segregation is the separation of social groups in the physical or in the online world. Segregation discovery consists of finding contexts of segregation. In the modern digital society, discovering segregation is challenging, due to the…

Social and Information Networks · Computer Science 2019-01-09 Alessandro Baroni , Salvatore Ruggieri

In this paper, we use analysis on graphs to study quantitative measures of segregation. We focus on a classical statistic from the geography and urban sociology literature known as Moran's I, which in our language is a score associated to a…

Social and Information Networks · Computer Science 2022-05-19 Moon Duchin , James M. Murphy , Thomas Weighill

Thomas Schelling proposed an influential simple spatial model to illustrate how, even with relatively mild assumptions on each individual's nearest neighbor preferences, an integrated city would likely unravel to a segregated city, even if…

Adaptation and Self-Organizing Systems · Physics 2007-11-15 Abhinav Singh , Dmitri Vainchtein , Howard Weiss

Obesity is currently affecting very large portions of the global population. Effective prevention and treatment starts at the early age and requires objective knowledge of population-level behavior on the region/neighborhood scale. To this…

Urban income segregation is a widespread phenomenon that challenges societies across the globe. Classical studies on segregation have largely focused on the geographic distribution of residential neighborhoods rather than on patterns of…

Social and Information Networks · Computer Science 2020-04-21 Xiaowen Dong , Alfredo J. Morales , Eaman Jahani , Esteban Moro , Bruno Lepri , Burcin Bozkaya , Carlos Sarraute , Yaneer Bar-Yam , Alex Pentland

In machine learning, the performance of a classifier depends on both the classifier model and the separability/complexity of datasets. To quantitatively measure the separability of datasets, we create an intrinsic measure -- the…

Machine Learning · Computer Science 2021-09-14 Shuyue Guan , Murray Loew

We introduce an easily computable topological measure which locates the effective crossover between segregation and integration in a modular network. Segregation corresponds to the degree of network modularity, while integration is…

Adaptation and Self-Organizing Systems · Physics 2012-06-18 A. Ajdari Rad , I. Sendiña-Nadal , D. Papo , M. Zanin , J. M. Buldú , F. del Pozo , S. Boccaletti

Socio-spatial segregation is the physical separation of different social, economic, or demographic groups within a geographic space, often resulting in unequal access to resources, services, and opportunities. The literature has…

Social and Information Networks · Computer Science 2025-01-27 Yuan Liao , Jorge Gil , Sonia Yeh , Rafael H. M. Pereira , Laura Alessandretti

Urban segregation refers to the physical and social division of people, often driving inequalities within cities and exacerbating socioeconomic and racial tensions. While most studies focus on residential spaces, they often neglect…

Human-Computer Interaction · Computer Science 2025-01-08 Yue Yu , Yifang Wang , Yongjun Zhang , Huamin Qu , Dongyu Liu

The Boltzmann-Shannon Index (BSI) for clustered continuous data is introduced as a normalized measure that captures the relationship between geometry-based and frequency-based probability distributions defined over the clusters. In essence,…

Information Theory · Computer Science 2025-12-18 Emanuele Bossi , C. Tyler Diggans , Abd AlRahman R. AlMomani

Networks, representing attitudinal survey data, expose the structure of opinion-based groups. We make use of these network projections to identify the groups reliably through community detection algorithms and to examine…

Physics and Society · Physics 2021-10-14 Alejandro Dinkelberg , David JP O'Sullivan , Michael Quayle , Pádraig MacCarron
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