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Scoring and Searching over Bayesian Networks with Causal and Associative Priors
Proceedings of the 29th Conference on Uncertainty in Artificial Intelligence, PMLR R11:322-331, 2013.
Abstract
A significant theoretical advantage of search- and-score methods for learning Bayesian Net- works is that they can accept informative prior beliefs for each possible network, thus complementing the data. In this paper, a method is presented for assigning priors based on beliefs on the presence or absence of certain paths in the true network. Such be- liefs correspond to knowledge about the pos- sible causal and associative relations between pairs of variables. This type of knowledge naturally arises from prior experimental and observational data, among others. In addi- tion, a novel search-operator is proposed to take advantage of such prior knowledge. Ex- periments show that, using path beliefs im- proves the learning of the skeleton, as well as the edge directions in the network.