# Bayesian Networks (BNs)

Given some distribution $$\mathbb{P}$$ over random variables $$\mathbf{V}$$ and a Directed Acyclic Graph (DAG) $$G = (\mathbf{V},\mathbf{E})$$, the pair $$(G,\mathbb{P})$$ is a Bayesian Network (BN) if $$(G,\mathbb{P})$$ satisfy the Markov Condition, i.e. for each $$V \in \mathbf{V}$$ we have that it is independent of its non-descendants given its parents.

BNs are a graphical representation of conditional independence.

## Thoughts

Created: 2022-04-04 Mon 23:40

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