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It would be great also just to have an example of inference in a directed graphical model. e.g. just the standard sprinkler example would be really useful for getting a handle on how to use the package.
It would be cool to show how to fit an HMM with Gaussian local evidence potentials.
The model would be
You use LBP to compute the (exact!) marginal likelihood and then do gradient descent for the params.
Or you could recreate our discrete HMM example at https://github.com/probml/JSL/blob/main/jsl/demos/hmm_casino_sgd_train.py
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