models.tex

\frame{\frametitle{LDA}
  \begin{figure}
    \includegraphics[scale=0.35]{figs/lda_jmlr2013.png}
  \end{figure}
  
}

\frame{\frametitle{HDP Topic Model Plate Diagram}
  \begin{figure}
    \includegraphics[scale=0.35]{figs/lda_plate.png}
  \end{figure}
\begin{itemize}
\item Use stick-breaking construction
\item Separate out global vs. local parameters
\end{itemize}
}


\frame{\frametitle{Variational Inference for HDP}
Joint variational family \alt<4->{is}{``should be''}
\begin{eqnarray*}
q(\beta,v,z,\pi) 
& = & 
\left(  \prod_{k=1}^{\alt<4->{\alert{K}}{\infty}} q(\beta_k|\lambda_k)q(v_k | a_k) \right) \cdot\\
& & 
\left( 
\prod_{d=1}^D 
\prod_{i=1}^{\alt<4->{\alert{T}}{\infty}} q(c_{d,i}|\psi_{d,i}) q(\pi_{d,i}|\gamma_{d,i})
\prod_{n=1}^N q(z_{d,n}|\phi_{d,n})
\right)
\end{eqnarray*}
\begin{itemize}
\item<2-> Truncate number of topics to $K$
\item<3-> Truncate number of topics used per document to $T$
\end{itemize}
}

\frame{\frametitle{HDP Distribution Table}
  \begin{figure}
    \includegraphics[scale=0.35]{figs/figure8_table.png}
  \end{figure}
  
}

\frame{\frametitle{Results}
  \begin{figure}
    \includegraphics[scale=0.30]{figs/figure_13.png}
  \end{figure}
  
}