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Incorporating Regular Vines in Estimation of Distribution Algorithms

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EVOLVE- A Bridge between Probability, Set Oriented Numerics and Evolutionary Computation

Part of the book series: Studies in Computational Intelligence ((SCI,volume 447))

Abstract

This chapter presents the incorporation and use of regular vines into Estimation of Distribution Algorithms for solving numerical optimization problems. Several kinds of statistical dependencies among continuous variables can be taken into account by using regular vines. This work presents a procedure for selecting the most important dependencies in EDAs by truncating regular vines. Moreover, this chapter also shows how the use of mutual information in the learning of graphical models implies a natural way of employing copula functions.

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Authors and Affiliations

  1. Center for Research in Mathematics (CIMAT), Guanajuato, México

    Rogelio Salinas-Gutiérrez, Arturo Hernández-Aguirre & Enrique R. Villa-Diharce

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  1. Rogelio Salinas-Gutiérrez
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  2. Arturo Hernández-Aguirre
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  3. Enrique R. Villa-Diharce
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Correspondence to Rogelio Salinas-Gutiérrez .

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  1. Computer Science and Communications, Research Unit, University of Luxembourg, rue Richard Coudenhove-Kalergi 6, Luxembourg, L-1359, Luxembourg

    Emilia Tantar

  2. , Computer Science and Communications, University of Luxembourg, rue Richard Coudenhove-Kalergi 6, Luxembourg, 1359, Luxembourg

    Alexandru-Adrian Tantar

  3. Computer Science, and Communications, University of Luxembourg, rue Richard Coudenhove-Kalergi 6, Luxembourg, L-1359, Luxembourg

    Pascal Bouvry

  4. Bordeaux Mathematical Institute, INRIA Bordeaux-Sud Ouest, Université Bordeaux I, cours de la Libération 351, Talence Cedex, 33405, France

    Pierre Del Moral

  5. Bâtiment Leyteire, UFR Sciences et Modélisation, Université Bordeaux II, 3ter place de la Victoire, Bordeaux, 33000, France

    Pierrick Legrand

  6. , Computer Science Department, CINVESTAV-IPN, Col. San Pedro Zacatenco 2508, Mexico City, 07360, Mexico

    Carlos A. Coello Coello

  7. , Computer Science Department, CINVESTAV-IPN, Col. San Pedro Zacatenco 2508, Mexico City, 07360, Mexico

    Oliver Schütze

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Salinas-Gutiérrez, R., Hernández-Aguirre, A., Villa-Diharce, E.R. (2013). Incorporating Regular Vines in Estimation of Distribution Algorithms. In: Tantar, E., et al. EVOLVE- A Bridge between Probability, Set Oriented Numerics and Evolutionary Computation. Studies in Computational Intelligence, vol 447. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32726-1_2

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  • DOI: https://doi.org/10.1007/978-3-642-32726-1_2

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