Bayesian Learning
A Bayesian network, Bayes network, belief network, Bayes(ian) model or probabilistic directed acyclic graphical model is a probabilistic graphical model (a type of statistical model) that represents a set of variables and their conditional dependencies via a directed acyclic graph (DAG). (Wikipedia)
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A Defining Markov locality and relating it to p locality
Neural Information Processing Systems
Markov locality, which will use the language of Markov blankets. Markov blanket but not all blankets are boundaries. A Markov boundary can be thought of as the set of variables that'locally' communicate with the parameter Importantly, for Markov-locality to be of use, we would like the Markov boundaries of random variables in the model of interest to be unique. Assume all quantities are as in A.1, that the conditional independence relationships This proof relies on Lemma A.1, proved below. We wish to prove Eq. 2 Eq.
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