Adaptation in natural and artificial systems
Adaptation in natural and artificial systems
Bayesian Networks and Decision Graphs
Bayesian Networks and Decision Graphs
Estimation of Distribution Algorithms: A New Tool for Evolutionary Computation
Estimation of Distribution Algorithms: A New Tool for Evolutionary Computation
Schemata, Distributions and Graphical Models in Evolutionary Optimization
Journal of Heuristics
Population-Based Incremental Learning: A Method for Integrating Genetic Search Based Function Optimization and Competitive Learning
Dependency networks for inference, collaborative filtering, and data visualization
The Journal of Machine Learning Research
The science of breeding and its application to the breeder genetic algorithm (bga)
Evolutionary Computation
The equation for response to selection and its use for prediction
Evolutionary Computation
Proceedings of the 10th annual conference on Genetic and evolutionary computation
Learning factorizations in estimation of distribution algorithms using affinity propagation
Evolutionary Computation
A Markovianity based optimisation algorithm
Genetic Programming and Evolvable Machines
A review on probabilistic graphical models in evolutionary computation
Journal of Heuristics
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In this work we present a new proposal in order to model the probability distribution in the estimation of distribution algorithms. This approach is based on using dependency networks [1] instead of Bayesian networks or simpler models in which structure is limited. Dependency networks are probabilistic graphical models similar to Bayesian networks, but with a significant difference: they allow directed cycles in the graph. This difference can be an important advantage because of two main reasons. First, in some real problems cyclic relationships appear between variables an this fact cannot be represented in a Bayesian network. Secondly, dependency networks can be built easily due to the fact that there is no need to check the existence of cycles as in a Bayesian network.In this paper we propose to use a general (multivariate) model in order to deal with a richer representation, however, in this initial approach to the problem we also propose to constraint the construction phase in order to use only bivariate statistics. The algorithm is compared with classical approaches with the same complexity order, i.e. bivariate models as chains and trees.