Vaniver comments on Our Phyg Is Not Exclusive Enough - Less Wrong
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I'm describing it that way but I don't think the introspection is necessary- it's just easier to talk about as if he had full access to his mind. (Private beliefs don't have to be beliefs that the mind's narrator has access to, and oftentimes are kept out of its reach for security purposes!)
I don't think I've seen any Bayesian modeling of that sort of thing, but I haven't gone looking for it.
Bayes nets in general are difficult for people, rather than computers, to manipulate, and so it's hard to decide what makes them too cumbersome. (Bayes nets in industrial use, like for fault diagnostics, tend to have hundreds if not thousands of nodes, but you wouldn't have a person traverse them unaided.)
If you wanted to code a narrow AI that determined someone's mood by, say, webcam footage of them, I think putting your perception data into a Bayes net would be a common approach.
Political positions / psychology seem tough. I could see someone do belief-mapping and correlation in a useful way, but I don't see analysis on the level of Steve_Rayhawk's post coming out of a computer-run Bayes net anytime soon, and I don't think drawing out a Bayes net would help significantly with that sort of analysis. Possible but unlikely- we've got pretty sophisticated dedicated hardware for very similar things.
Hmm. I'm going to need to sleep on this, but this sort of coordination still smells to me like anticipation.
(A general comment: this conversation has moved me towards thinking that it's useful for the LW norm to be tabooing "belief" and using "anticipation" instead when appropriate, rather than trying to equate the two terms. I don't know if you're advocating for tabooing "belief", though.)