June 2022 An alternative class of models to position social network groups in latent spaces
Izabel Nolau, Gustavo S. Ferreira
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Braz. J. Probab. Stat. 36(2): 263-286 (June 2022). DOI: 10.1214/21-BJPS526

Abstract

Identifying key nodes, estimating the probability of connection between them, and distinguishing latent groups are some of the main objectives of social network analysis. In this paper, we propose a class of blockmodels to model stochastic equivalence and visualize groups in an unobservable space. In this setting, the proposed method is based on two approaches: latent distances and latent dissimilarities at the group level. The projection proposed in the paper is performed without needing to project individuals, unlike the main approaches in the literature. Our approach can be used in undirected or directed graphs and is flexible enough to cluster and quantify between and within-group tie probabilities in social networks. The effectiveness of the methodology in representing groups in latent spaces was analyzed under artificial datasets and in two case studies.

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Izabel Nolau. Gustavo S. Ferreira. "An alternative class of models to position social network groups in latent spaces." Braz. J. Probab. Stat. 36 (2) 263 - 286, June 2022. https://doi.org/10.1214/21-BJPS526

Information

Received: 1 August 2021; Accepted: 1 November 2021; Published: June 2022
First available in Project Euclid: 5 May 2022

MathSciNet: MR4417192
zbMATH: 1492.91250
Digital Object Identifier: 10.1214/21-BJPS526

Keywords: Blockmodel , latent space , multidimensional scaling , social networks , visualization

Rights: Copyright © 2022 Brazilian Statistical Association

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Vol.36 • No. 2 • June 2022
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