https://figshare.com/articles/_Example_of_belief_propagation_in_a_tree_structured_network_/219452/1

includes in depth explanation of each step

University of Michigan - Ann Arbor

1. Evidence to child nodes is introduced (red circles in bottom nodes). The new information is passed to intermediate nodes who update their belief.
2. The update is passed up to the parent node (as well as down to uninstantiated child nodes)
3. Crucially, the belief update is passed back down to intermediate nodes, updating their conditional probabilities.
4. The final step updates the conditional probabilities of the child nodes based on the belief passed down.


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