Questions tagged [bayesian-inference]

For questions related to Bayesian inference in the context of artificial intelligence.

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How do I know the matrix dimensions when summing out variable from product of factors?

Figure 14.10 on p. 527 of Norvig and Russell's book "Artificial Intelligence: A Modern Approach" shows: I see how the submatrices are formed by fixing the variable to each value of $A$, ie. ...
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What Constitutes Messages in Junction Tree Algorithm?

I'm currently studying the Junction Tree Algorithm: I'm referring to the process of transforming a Bayesian Network into a Junction Tree in order to apply inference. I understand how you build the ...
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Does the Bayesian MAP give a probability distribution over unseen t*?

I'm working my way through the Bayesian world. So far, I've understood that the MLE or the MPA are point estimates, therefore using such models just output one specific value and not a distribution. ...
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How to perform structure learning for Bayesian network given already partially constructed Bayesian network?

Let's assume that we have a dataset of variables (random events)I apriori would like to set dependency conditions between some of them and perform structure learning to figure out the rest of the ...
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Can Bayesian inference be combined with knowledge-based systems?

I've been struggling with the connection between knowledge-based AI systems and Bayesian inference for a while now. While I continue to sweep through the literature, I would be happy if someone can ...