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Chain graph reduction into power chain graphs
Department of Psychology, São Francisco University, Campinas, Brazil.ORCID iD: 0000-0002-8929-3238
Umeå University, Faculty of Social Sciences, Umeå School of Business and Economics (USBE), Statistics.ORCID iD: 0000-0002-9313-3499
Umeå University, Faculty of Social Sciences, Umeå School of Business and Economics (USBE), Statistics.ORCID iD: 0000-0001-5549-8262
Institute of Psychology, University of Brasília, Brasília, Brazil.ORCID iD: 0000-0001-8763-5401
2022 (English)In: Quantitative and Computational Methods in Behavioral Sciences, E-ISSN 2699-8432, Vol. 2, no 1, article id e8383Article in journal (Refereed) Published
Abstract [en]

Reduction of graphs is a class of procedures used to decrease the dimensionality of a given graphin which the properties of the reduced graph are to be induced from the properties of the largeroriginal graph. This paper introduces both a new method for reducing chain graphs to simplerdirected acyclic graphs (DAGs), that we call power chain graphs (PCG), as well as a procedure forstructure learning of this new type of graph from correlational data of a Gaussian graphical model.Adefinitionfor PCGs is given, directly followed by the reduction method. The structure learningprocedure is a two-step approach:first,the correlation matrix is used to cluster the variables; andthen, the averaged correlation matrix is used to discover the DAGs using the PC-stable algorithm.The results of simulations are provided to illustrate the theoretical proposal, which demonstrateinitial evidence for the validity of our procedure to recover the structure of power chain graphs.The paper ends with a discussion regarding suggestions for future studies as well as some practicalimplications

Place, publisher, year, edition, pages
PshycOpen , 2022. Vol. 2, no 1, article id e8383
Keywords [en]
graph reduction, power chain graph, Monte Carlo simulation, probabilistic graphical models, causal discovery, network modelsThis is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International License, CC BY 4.0, which permits unrestricted use, distribution, and reproduction, provided the original work is properly cited.
National Category
Probability Theory and Statistics
Identifiers
URN: urn:nbn:se:umu:diva-219351DOI: 10.5964/qcmb.8383OAI: oai:DiVA.org:umu-219351DiVA, id: diva2:1826309
Available from: 2024-01-11 Created: 2024-01-11 Last updated: 2024-01-11Bibliographically approved

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Barros, GuilhermeWiberg, Marie

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