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% model_citation_influence.tex
%
% Copyright (C) 2010,2011 Laura Dietz
% Copyright (C) 2012 Jaakko Luttinen
%
% This file may be distributed and/or modified
%
% 1. under the LaTeX Project Public License and/or
% 2. under the GNU General Public License.
%
% See the files LICENSE_LPPL and LICENSE_GPL for more details.
% Citation influence model
% Cite this model as
% Laura Dietz, Steffen Bickel, Tobias Scheffer.
% Unsupervised Prediction of Citation Influences.
% In: Proceedings of International Conference on Machine Learning. 2007
%\beginpgfgraphicnamed{model-citation-influence}
\begin{tikzpicture}
% Layout the variables
\matrix[row sep=0.5cm, column sep=1.2cm] (LDA)
{ %
& %
& %
\node[latent] (gamma) {$\gamma$} ; & %
\node[latent] (lambda) {$\lambda$} ; & %
\node[latent] (psi) {$\psi$} ; %
\\
\\
\node[latent] (theta) {$\theta$} ; & %
& %
\node[latent] (C) {$C$} ; & %
\node[latent] (S) {$S$} ; & %
\\
& %
& %
\factor {T-f1} {Multi} {} {}; & %
& %
\factor {T-f2} {below:Multi} {} {}; & %
\\
\node[latent] (T') {$T'$} ; & %
& %
\node[latent] (T) {$T$} ; & %
\\
\factor {W'-f} {Multi} {} {}; & %
\node[latent] (phi) {$\phi$} ; & %
\factor {W-f} {Multi} {} {}; %
\\
\node[obs] (W') {$W'$} ; & %
& %
\node[obs] (W) {$W$} ;
\\
};
% Remaining factors
\factor[above=of T'] {T'-f} {left:Multi} {} {}; %
\factor[above=of theta] {theta-f} {left:Dir} {} {}; %
\factor[above=of C] {C-f} {left:Multi} {} {}; %
\factor[above=of S] {S-f} {left:Bern} {} {}; %
\factor[above=of gamma] {gamma-f} {left:Dir} {} {}; %
\factor[above=of lambda] {lambda-f} {left:Beta} {} {}; %
\factor[above=of psi] {psi-f} {left:Dir} {} {}; %
\factor[above=of phi] {phi-f} {left:Dir} {} {}; %
% Hyperparameters
\node[const, above=of theta] (atheta) {$\alpha_\theta$}; %
\node[const, above=of phi] (aphi) {$\alpha_\phi$}; %
\node[const, above=of gamma] (agamma) {$\alpha_\gamma$}; %
\node[const, above=of lambda, xshift=-0.5cm] (alambda1)
{$\alpha_{\lambda_\theta}$}; %
\node[const, above=of lambda, xshift=0.5cm] (alambda2)
{$\alpha_{\lambda_\psi}$}; %
\node[const, above=of psi] (apsi) {$\alpha_\psi$}; %
% Factor connections
\factoredge {phi} {W'-f} {W'} ; %
\factoredge {phi} {W-f} {W} ; %
\factoredge {theta} {T'-f} {T'} ; %
\factoredge {theta} {T-f1} {T} ; %
\factoredge {psi} {T-f2} {T} ; %
\factoredge {atheta} {theta-f} {theta} ; %
\factoredge {gamma} {C-f} {C} ; %
\factoredge {lambda} {S-f} {S} ; %
\factoredge {agamma} {gamma-f} {gamma} ; %
\factoredge {alambda1,alambda2} {lambda-f} {lambda} ; %
\factoredge {apsi} {psi-f} {psi} ; %
\factoredge {aphi} {phi-f} {phi} ; %
% Gates
\gate {W'-gate} {(W'-f)(W'-f-caption)} {T'} ; %
\gate {W-gate} {(W-f)(W-f-caption)} {T} ; %
\gate {T-gate} {(T-f1)(T-f1-caption)} {C} ;
\vgate {T-vgate} %
{(T-gate)} {$S=0$} %
{(T-f2)(T-f2-caption)} {$S=1$} %
{S} ; %
% Plates
\plate {LDA1} { %
(T')(T'-f)(T'-f-caption) %
(W')(W'-gate) %
} {$\forall w' \in c$} ; %
\plate {LDA2} { %
(LDA1) %
(theta)(theta-f)(theta-f-caption) %
} {$\forall c \in \mathcal{C}$} ; %
\plate {} { %
(phi)(phi-f)(phi-f-caption) %
} {$\forall t \in \mathcal{T}$} ; %
\plate {P1} { %
(W)(W-gate) %
(T)(T-vgate) %
(C)(C-f)(C-f-caption) %
(S)(S-f)(S-f-caption) %
} {$\forall w \in d$} ;
\plate {} { %
(P1) %
(gamma)(gamma-f)(gamma-f-caption) %
(lambda)(lambda-f)(lambda-f-caption) %
(psi)(psi-f)(psi-f-caption) %
} {$\forall d \in \mathcal{D}$} ; %
\end{tikzpicture}
%\endpgfgraphicnamed
%%% Local Variables:
%%% mode: tex-pdf
%%% TeX-master: "example"
%%% End:
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