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Re:Karl Friston: a neuroscientist who might hold the key to ... by atschantz on Tuesday November 20, 2018 @01:54PM (#18496568)
I think you might be right, a quote from Friston on the relationship (in reference to belief propagation):

"We turn to the equivalent message passing for continuous variables, which transpires to be predictive coding [...]"

It could be that belief propagation is in the context of discrete variables, whereas predictive coding is in the context of continuous, both of which are a form of (variational) message passing.

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