Limin Yao, David Mimno and Andrew McCallum. 2009. Efficient Methods for Topic Model Inference on Streaming Document Collections. KDD.

This made me realize that, of course, EM uses exactly the same kind of “probabilistic training” in its E step. It’s not much more complicated to plug in logistic regression in place of the more standard naive Bayes.

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where the mean parameter is modeled using logistic regression

.

This’d be straightforward to program in BUGS or JAGS — you’d just need a prior on the regression coefficients and on the precision parameter .

Now that I’ve translated it into terms I understand, I’ll have to get my head around the implications. My first reaction is that the deterministic part of the prediction will be the same as if you just took , because the mean of is .

]]>Beta Regression for Modelling Rates and Proportions

Silvia Ferraria and Francisco Cribari-Netob

They even have a R package called betareg.

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