To generate each token w d,n of a speech d, legislator a d will (1) first choose an issue z d,n ∈ [1, K] from a document-specific multinomial θ d , then (2) choose a frame t d,n from the set of infinitely many possible frames of the given issue z d,n using the frame proportion ψ d,k drawn from a Dirichlet process, and finally (3) choose a word type from the chosen frame's topic φ z d,n ,t d,n .
our model generates speeches using a mixture of K HDPs (Teh et al., 2006).