A Scoring Function for Learning Bayesian Networks based on Mutual Information and Conditional Independence Tests

By Luis M. de Campos. Journal of machine learning research, 2006

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Strongly consistent nonparametric tests of conditional independence (2012, methodology): “An information theory based test for conditional independence is due to Kullback (1968) and was applied to learning Bayesian networks, e.g., by de Campos (2006).”
A survey of Bayesian Network structure learning (2021, methodology): “…Minimum Description Length (MDL) (Suzuki, 1993, 1999), the Akaike Information Criterion (AIC) (Akaike, 1974), the Mutual Information Test (MIT) (de Campos, 2006), the Normalised Maximum Likelihood (NML) (Rissanen, 1996), the factorized Normalised Maximum Likelihood (fNML) ) (Silander et al.,…”
Learning Bayesian networks: approaches and issues (2011, methodology): “Examples of these are de Campos (2006) who uses CI tests in the construction of a scoring function and Schulte et al. (2007) who provide a look at learning BN structures using CI tests in a paradigm that approaches the task using Gold’s learning paradigm (Gold, 1967).”