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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 universitet, Samhällsvetenskapliga fakulteten, Handelshögskolan vid Umeå universitet, Statistik.ORCID-id: 0000-0002-9313-3499
Umeå universitet, Samhällsvetenskapliga fakulteten, Handelshögskolan vid Umeå universitet, Statistik.ORCID-id: 0000-0001-5549-8262
Institute of Psychology, University of Brasília, Brasília, Brazil.ORCID-id: 0000-0001-8763-5401
2022 (engelsk)Inngår i: Quantitative and Computational Methods in Behavioral Sciences, E-ISSN 2699-8432, Vol. 2, nr 1, artikkel-id e8383Artikkel i tidsskrift (Fagfellevurdert) 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

sted, utgiver, år, opplag, sider
PshycOpen , 2022. Vol. 2, nr 1, artikkel-id e8383
Emneord [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.
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Identifikatorer
URN: urn:nbn:se:umu:diva-219351DOI: 10.5964/qcmb.8383OAI: oai:DiVA.org:umu-219351DiVA, id: diva2:1826309
Tilgjengelig fra: 2024-01-11 Laget: 2024-01-11 Sist oppdatert: 2024-01-11bibliografisk kontrollert

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Barros, GuilhermeWiberg, Marie

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