After obtaining individual word assignments z, we can estimate the topic multinomials and the per-document mixing proportions.
the topic multinomials are estimated as: while the per-document mixing proportions fixed can be estimated as: In this section, we draw comparisons with the current state-of-the-art models for hierarchical topic modeling (Blei et al., 2004;Petinot et al., 2011) and show that at certain choices of the parameters of our model, these methods fall out as special cases.