Uniqueness of the level two Bayesian network representing a probability distribution.
Smail, Linda (2011)
International Journal of Mathematics and Mathematical Sciences
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Smail, Linda (2011)
International Journal of Mathematics and Mathematical Sciences
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Luis M. de Campos, José A. Gámez, José M. Puerta (2002)
Mathware and Soft Computing
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The most common way of automatically learning Bayesian networks from data is the combination of a scoring metric, the evaluation of the fitness of any given candidate network to the data base, and a search procedure to explore the search space. Usually, the search is carried out by greedy hill-climbing algorithms, although other techniques such as genetic algorithms, have also been used. A recent metaheuristic, Ant Colony Optimisation (ACO), has been successfully applied...
Abdelaziz Zaidi, Belkacem Ould Bouamama, Moncef Tagina (2012)
International Journal of Applied Mathematics and Computer Science
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In the reliability modeling field, we sometimes encounter systems with uncertain structures, and the use of fault trees and reliability diagrams is not possible. To overcome this problem, Bayesian approaches offer a considerable efficiency in this context. This paper introduces recent contributions in the field of reliability modeling with the Bayesian network approach. Bayesian reliability models are applied to systems with Weibull distribution of failure. To achieve the formulation...
Igor Vajda, Belomír Lonek, Viktor Nikolov, Arnošt Veselý (1998)
Kybernetika
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For general Bayes decision rules there are considered perceptron approximations based on sufficient statistics inputs. A particular attention is paid to Bayes discrimination and classification. In the case of exponentially distributed data with known model it is shown that a perceptron with one hidden layer is sufficient and the learning is restricted to synaptic weights of the output neuron. If only the dimension of the exponential model is known, then the number of hidden layers will...
Gabriela Andrejková, Miroslav Levický (2003)
Kybernetika
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Bayesian probability theory provides a framework for data modeling. In this framework it is possible to find models that are well-matched to the data, and to use these models to make nearly optimal predictions. In connection to neural networks and especially to neural network learning, the theory is interpreted as an inference of the most probable parameters for the model and the given training data. This article describes an application of Neural Networks using the Bayesian training...
Matteo Matteucci, Dario Spadoni (2004)
International Journal of Applied Mathematics and Computer Science
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In this paper we focus on the problem of using a genetic algorithm for model selection within a Bayesian framework. We propose to reduce the model selection problem to a search problem solved using evolutionary computation to explore a posterior distribution over the model space. As a case study, we introduce ELeaRNT (Evolutionary Learning of Rich Neural Network Topologies), a genetic algorithm which evolves a particular class of models, namely, Rich Neural Networks (RNN), in order to...