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Probabilistic Graphical Models - Caltech

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Sampling from intractable distributions<br />

Given unnormalized distribution<br />

P(X) ∝ Q(X)<br />

Q(X) efficient to evaluate, but normalizer intractable<br />

For example, Q(X) = ∏ j Ψ(C j )<br />

Want to sample from P(X)<br />

Ingenious idea:<br />

Can create Markov chain that is efficient to simulate<br />

and that has stationary distribution P(X)<br />

7

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