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In social networks, neighborhood is crucial for understanding individual behavior in response to environments, and thus it is essential to analyze an individual's local perspective within the global network. This paper studies how to…

Methodology · Statistics 2025-02-25 Lijia Wang , Xiao Han , Yanhui Wu , Y. X. Rachel Wang

The popularity of an opinion in one's direct circles is not necessarily a good indicator of its popularity in one's entire community. Network structures make local information about global properties of the group potentially inaccurate, and…

Social and Information Networks · Computer Science 2025-08-11 Maaike Los , Zoé Christoff , Davide Grossi

Majority Illusion is a phenomenon in social networks wherein the decision by the majority of the network is not the same as one's personal social circle's majority, leading to an incorrect perception of the majority in a large network. In…

Multiagent Systems · Computer Science 2024-07-30 Jack Dippel , Max Dupré la Tour , April Niu , Sanjukta Roy , Adrian Vetta

People's perceptions about the size of minority groups in social networks can be biased, often showing systematic over- or underestimation. These social perception biases are often attributed to biased cognitive or motivational processes.…

Physics and Society · Physics 2020-01-13 Eun Lee , Fariba Karimi , Claudia Wagner , Hang-Hyun Jo , Markus Strohmaier , Mirta Galesic

Across income groups and countries, individual citizens perceive economic inequality spectacularly wrong. These misperceptions have far-reaching consequences, as it is perceived inequality, not actualinequality informing redistributive…

General Economics · Economics 2022-04-05 Jan Schulz , Daniel M. Mayerhoffer , Anna Gebhard

Majority illusion occurs in a social network when the majority of the network nodes belong to a certain type but each node's neighbours mostly belong to a different type, therefore creating the wrong perception, i.e., the illusion, that the…

Multiagent Systems · Computer Science 2022-05-05 Umberto Grandi , Grzegorz Lisowski , M. S. Ramanujan , Paolo Turrini

Much of social network analysis is - implicitly or explicitly - predicated on the assumption that individuals tend to be more similar to their friends than to strangers. Thus, an observed social network provides a noisy signal about the…

Social and Information Networks · Computer Science 2014-08-18 Ittai Abraham , Shiri Chechik , David Kempe , Aleksandrs Slivkins

The study of networks has received increased attention recently not only from the social sciences and statistics but also from physicists, computer scientists and mathematicians. One of the principal problem in networks is community…

Machine Learning · Statistics 2014-01-27 Sharmodeep Bhattacharyya , Peter J. Bickel

Social behaviors are often contagious, spreading through a population as individuals imitate the decisions and choices of others. A variety of global phenomena, from innovation adoption to the emergence of social norms and political…

Social and Information Networks · Computer Science 2016-04-27 Kristina Lerman , Xiaoran Yan , Xin-Zeng Wu

We investigate the widely encountered problem of detecting communities in multiplex networks, such as social networks, with an unknown arbitrary heterogeneous structure. To improve detectability, we propose a generative model that leverages…

Social and Information Networks · Computer Science 2019-11-27 Yuming Huang , Ashkan Panahi , Hamid Krim , Liyi Dai

In statistical network analysis, we often assume either the full network is available or multiple subgraphs can be sampled to estimate various global properties of the network. However, in a real social network, people frequently make…

Methodology · Statistics 2024-07-04 Xiao Han , Y. X. Rachel Wang , Qing Yang , Xin Tong

Community models for malicious content detection, which take into account the context from a social graph alongside the content itself, have shown remarkable performance on benchmark datasets. Yet, misinformation and hate speech continue to…

Machine Learning · Computer Science 2024-09-30 Ivo Verhoeven , Pushkar Mishra , Rahel Beloch , Helen Yannakoudakis , Ekaterina Shutova

The stochastic block model is a canonical random graph model for clustering and community detection on network-structured data. Decades of extensive study on the problem have established many profound results, among which the phase…

Machine Learning · Statistics 2024-02-29 Junda Sheng , Thomas Strohmer

Cognitive biases are often attributed to heuristics or limited information. Yet the structure of social networks is a key, often-overlooked source of perceptual bias. When information passes through social connections, the network alone can…

Physics and Society · Physics 2026-02-20 Giovanni Palermo , Vittorio Loreto , Giulio Cimini

The Deffuant model is a spatial stochastic model for the dynamics of opinions in which individuals are located on a connected graph representing a social network and characterized by a number in the unit interval representing their opinion.…

Probability · Mathematics 2020-05-28 Nicolas Lanchier , Hsin-Lun Li

We study the problem of testing for community structure in networks using relations between the observed frequencies of small subgraphs. We propose a simple test for the existence of communities based only on the frequencies of three-node…

Methodology · Statistics 2017-10-17 Chao Gao , John Lafferty

An opinion illusion refers to a phenomenon in social networks where agents may witness distributions of opinions among their neighbours that do not accurately reflect the true distribution of opinions in the population as a whole. A…

Computational Complexity · Computer Science 2025-02-21 Foivos Fioravantes , Abhiruk Lahiri , Antonio Lauerbach , Lluís Sabater , Marie Diana Sieper , Samuel Wolf

Stochastic blockmodels have been proposed as a tool for detecting community structure in networks as well as for generating synthetic networks for use as benchmarks. Most blockmodels, however, ignore variation in vertex degree, making them…

Physics and Society · Physics 2011-03-02 Brian Karrer , M. E. J. Newman

This paper gives lower bounds for the probability of consensus for two spatially explicit stochastic opinion models. Both processes are characterized by two finite connected graphs, that we call respectively the spatial graph and the…

Probability · Mathematics 2019-12-17 Mela Hardin , Nicolas Lanchier

Social networks affect the diffusion of information, and thus have the potential to reduce or amplify inequality in access to opportunity. We show empirically that social networks often exhibit a much larger potential for unequal diffusion…

Applications · Statistics 2022-10-21 Eaman Jahani , Dean Eckles , Alex 'Sandy' Pentland
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