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A Bayesian network is a pair of directed acyclic graph (DAG) describing the dependencies of characteristics and some factorization of the joint distribution of characteristics in the product of conditional, generated by these dependencies.
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The task of training a Bayesian network is thus split into two subtasks:
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* Finding the structure of the Bayesian network.
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* Parametric training of the Bayesian network or, in other words, selection of marginal and conditional distributions that describe the conditional ones accurately enough.
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* Parametric learning of the Bayesian network or, in other words, selection of marginal and conditional distributions that describe the conditional ones accurately enough.
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# Structural learning algorithms for a Bayesian network
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Often the task of constructing a network is reduced to optimization. In the DAG space, score functions are introduced that evaluate how well the graph describes the dependencies between features. Web BAMT uses the Hill-Climbing algorithm to search in this space.
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