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We introduce a class of information measures based on group entropies, allowing us to describe the information-theoretical properties of complex systems. These entropic measures are nonadditive, and are mathematically deduced from a series…

Statistical Mechanics · Physics 2019-10-21 Piergiulio Tempesta , Henrik Jeldtoft Jensen

With rapid increase in online information consumption, especially via social media sites, there have been concerns on whether people are getting selective exposure to a biased subset of the information space, where a user is receiving more…

Social and Information Networks · Computer Science 2017-08-03 Abhijnan Chakraborty , Muhammad Ali , Saptarshi Ghosh , Niloy Ganguly , Krishna P. Gummadi

Using network-based information to facilitate information spreading is an essential task for spreading dynamics in complex networks, which will benefit the promotion of technical innovations, healthy behaviors, new products, etc. Focusing…

Physics and Society · Physics 2016-06-20 Lei Gao , Wei Wang , Liming Pan , Ming Tang , Hai-Feng Zhang

Cities are characterized by the coexistence of general aggregate patterns, along with many local variations. This poses challenges for analyses of urban phenomena, which tend to be either too aggregated or too local, depending on the…

Physics and Society · Physics 2025-09-30 Luís M. A. Bettencourt , Ivanna Rodriguez , Jordan T. Kemp , José Lobo

It is known that statistical model selection as well as identification of dynamical equations from available data are both very challenging tasks. Physical systems behave according to their underlying dynamical equations which, in turn, can…

Mathematical Physics · Physics 2017-10-11 Sean Alan Ali , Carlo Cafaro

In the 21st century, many of the crucial scientific and technical issues facing humanity can be understood as problems associated with understanding, modelling, and ultimately controlling complex systems: systems comprised of a large number…

Information Theory · Computer Science 2025-01-20 Thomas F. Varley

We advocate the use of a notion of entropy that reflects the relative abundances of the symbols in an alphabet, as well as the similarities between them. This concept was originally introduced in theoretical ecology to study the diversity…

Machine Learning · Computer Science 2022-07-12 Jose Gallego-Posada , Ankit Vani , Max Schwarzer , Simon Lacoste-Julien

We explore the connection between deep learning and information theory through the paradigm of diffusion models. A diffusion model converts noise into structured data by reinstating, imperfectly, information that is erased when data was…

Machine Learning · Computer Science 2025-11-04 Akhil Premkumar

We present a novel analytical framework to examine socio-spatial segregation across multiple spatial scales, explicitly leveraging information theory and percolation theory. This framework emphasizes the interplay between regional…

Physics and Society · Physics 2025-05-22 Mateo Neira , Valentina Marin , Elsa Arcaute

Segregation is a highly nuanced concept that researchers have worked to define and measure over the past several decades. Conventional approaches tend to estimate segregation based on residential patterns in a static manner. In this work,…

Physics and Society · Physics 2023-04-17 Nandini Iyer , Ronaldo Menezes , Hugo Barbosa

Several tasks in information retrieval (IR) rely on assumptions regarding the distribution of some property (such as term frequency) in the data being processed. This thesis argues that such distributional assumptions can lead to incorrect…

Information Retrieval · Computer Science 2019-04-02 Casper Petersen

Due to its wide reaching implications for everything from identifying hotspots of income inequality to political redistricting, there is a rich body of literature across the sciences quantifying spatial patterns in socioeconomic data. In…

Physics and Society · Physics 2020-11-18 Alec Kirkley

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

Information-theoretic measures such as relative entropy and correlation are extremely useful when modeling or analyzing the interaction of probabilistic systems. We survey the quantum generalization of 5 such measures and point out some of…

Information Theory · Computer Science 2015-06-02 William Blacoe

The idea of intersectionality has become a frequent topic of discussion both in academic sociology, as well as among popular movements for social justice such as Black Lives Matter, intersectional feminism, and LGBT rights.…

Physics and Society · Physics 2021-10-26 Thomas F. Varley , Patrick Kaminski

An agglomerative clustering of random variables is proposed, where clusters of random variables sharing the maximum amount of multivariate mutual information are merged successively to form larger clusters. Compared to the previous…

Information Theory · Computer Science 2017-02-27 Chung Chan , Ali Al-Bashabsheh , Qiaoqiao Zhou

This work explores entropy analysis as a tool for probing information distribution within Transformer-based architectures. By quantifying token-level uncertainty and examining entropy patterns across different stages of processing, we aim…

Computation and Language · Computer Science 2025-07-31 Amedeo Buonanno , Alessandro Rivetti , Francesco A. N. Palmieri , Giovanni Di Gennaro , Gianmarco Romano

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

One of the goals of probabilistic inference is to decide whether an empirically observed distribution is compatible with a candidate Bayesian network. However, Bayesian networks with hidden variables give rise to highly non-trivial…

Machine Learning · Statistics 2014-10-14 R. Chaves , L. Luft , T. O. Maciel , D. Gross , D. Janzing , B. Schölkopf

Information theory is a practical and theoretical framework developed for the study of communication over noisy channels. Its probabilistic basis and capacity to relate statistical structure to function make it ideally suited for studying…

Neurons and Cognition · Quantitative Biology 2015-01-09 Simon R. Schultz , Robin A. A. Ince , Stefano Panzeri