The linkage tree genetic algorithm

作者: Dirk Thierens

DOI: 10.1007/978-3-642-15844-5_27

关键词: Genetic algorithmHierarchical clusteringCombinatoricsVariation of informationMetric (mathematics)MathematicsCluster analysisCrossoverLinkage (mechanical)Tree (data structure)Algorithm

摘要: We introduce the Linkage Tree Genetic Algorithm (LTGA), a competent genetic algorithm that learns linkage between problem variables. The LTGA builds each generation tree using hierarchical clustering algorithm. To generate new offspring solutions, selects two parent solutions and traverses starting from root. At branching point, pair is recombined crossover mask defined by at particular node. competes with pair, continues traversing has most fit solution. Once entire traversed, best solution of current copied to next generation. In this paper we use normalized variation information metric as distance measure for process. Experimental results fully deceptive functions nearest neighbor NK-landscape problems tunable overlap show can solve these hard efficiently without knowing actual position linked variables on representation.

参考文章(16)
Martin Pelikan, Erick Cantú-Paz, Kumara Sastry, Scalable Optimization via Probabilistic Modeling: From Algorithms to Applications (Studies in Computational Intelligence) Springer-Verlag New York, Inc.. ,(2006)
Martin Pelikan, Kumara Sastry, Martin V. Butz, David E. Goldberg, Performance of evolutionary algorithms on random decomposable problems parallel problem solving from nature. pp. 788- 797 ,(2006) , 10.1007/11844297_80
Dirk Thierens, David E. Goldberg, Mixing in Genetic Algorithms international conference on genetic algorithms. pp. 38- 47 ,(1993)
Georges R. Harik, Fernando G. Lobo, Kumara Sastry, Linkage Learning via Probabilistic Modeling in the Extended Compact Genetic Algorithm (ECGA) Scalable Optimization via Probabilistic Modeling. pp. 39- 61 ,(2006) , 10.1007/978-3-540-34954-9_3
Kalyanmoy Deb, David E Goldberg, Illinois Genetic Algorithms Laboratory. Department of General Engineering. University of Illinois at Urbana Champaign, Analyzing Deception in Trap Functions foundations of genetic algorithms. ,vol. 2, pp. 93- 108 ,(1993) , 10.1016/B978-0-08-094832-4.50012-X
Martin Pelikan, Kumara Sastry, David E. Goldberg, Martin V. Butz, Mark Hauschild, Performance of evolutionary algorithms on NK landscapes with nearest neighbor interactions and tunable overlap Proceedings of the 11th Annual conference on Genetic and evolutionary computation - GECCO '09. pp. 851- 858 ,(2009) , 10.1145/1569901.1570018
A Kraskov, H Stögbauer, R. G Andrzejak, P Grassberger, Hierarchical clustering using mutual information EPL. ,vol. 70, pp. 278- 284 ,(2005) , 10.1209/EPL/I2004-10483-Y