Abstract
A Markov field represents dependencies in the form of an undirected graph and is a natural representation for specific types of knowledge, such as networks of concepts. A Bayesian learning algorithm is presented for inferring structure and parameters from a database of independent and identically distributed cases from the distribution. We use a conjugate family of prior distributions for model parameters conditional on connectivity structure, and the Bayesian Information Criterion to approximate the posterior probabilities for structures. The procedure is conceived for the general setting of experimental situations, where the correlation structure of a system of attributes has to be learned from examples. Correlations of order two and higher correspond to concepts. The graph induced by drawing cliques corresponding to the detected correlations and/or interactions provides information on the rules to be extracted.
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© 1995 Springer-Verlag London Limited
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Martignon, L., Laskey, K.B. (1995). Bayesian Strategies for Machine Learning: Rule Extraction and Concept Detection. In: Kappen, B., Gielen, S. (eds) Neural Networks: Artificial Intelligence and Industrial Applications. Springer, London. https://doi.org/10.1007/978-1-4471-3087-1_17
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DOI: https://doi.org/10.1007/978-1-4471-3087-1_17
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