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    A graph approach to generate all possible regression submodels

    Gatu, C. and Yanev, P.I. and Kontoghiorghes, Erricos J. (2007) A graph approach to generate all possible regression submodels. Computational Statistics & Data Analysis 52 (2), 799 - 815. ISSN 0167-9473.

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    A regression graph to enumerate and evaluate all possible subset regression models is introduced. The graph is a generalization of a regression tree. All the spanning trees of the graph are minimum spanning trees and provide an optimal computational procedure for generating all possible submodels. Each minimum spanning tree has a different structure and characteristics. An adaptation of a branch-and-bound algorithm which computes the best-subset models using the regression graph framework is proposed. Experimental results and comparison with an existing method based on a regression tree are presented and discussed.


    Item Type: Article
    Keyword(s) / Subject(s): Graphs, regression trees, model selection, combinatorial algorithms
    School: Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences
    Depositing User: Administrator
    Date Deposited: 08 Aug 2011 13:04
    Last Modified: 09 Aug 2023 12:30


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