id: 06108896 dt: a an: 06108896 au: Ponce-De-Leon-Senti, Eunice Esther; Diaz-Diaz, Elva ti: Adaptive evolutionary algorithm based on a cliqued Gibbs sampling over graphical Markov model structure. so: Shakya, Siddhartha (ed.) et al., Markov networks in evolutionary computation. Berlin: Springer (ISBN 978-3-642-28899-9/hbk; 978-3-642-28900-2/ebook). Adaptation, Learning, and Optimization 14, 109-123 (2012). py: 2012 pu: Berlin: Springer la: EN cc: ut: ci: li: doi:10.1007/978-3-642-28900-2_7 ab: Summary: This chapter introduces estimation of distribution algorithms (EDAs) based on a learning strategy with two steps. The first step is based on the estimation of the searching sample complexity through an index based on sample entropy. The searching sample algorithm learns a tree and then uses a sample complexity index to prognose the missing edges to obtain the cliques of the structure of the estimating distribution adding more edges if necessary. In the second step a new population is generated by a new cliqued Gibbs sampler (CG-Sampler) that drags through the space of solutions driven by the cliques of the learned graphical Markov model. Two variants of this algorithm are compared, the adaptive tree cliqued EDA (ATC-EDA) and the adaptive extended tree cliqued EDA (AETC-EDA), and the Boltzmann selection procedure is used in CG-Sampler. They are tested with 5 known functions defined for 48, 50, 99 and 100 variables, and compared to the univariate marginal distribution algorithm (UMDA). The performance of the two algorithms compared to UMDA is equal for OneMax and ZeroMax functions. The ATC-EDA and AETC-EDA are better than the UMDA for the other 3 functions. rv: