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Toy-MT-Introduction
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Add GRU figure

parent 52ecf09c
正在显示 包含 145 行增加 和 0 行删除
Section06-Neural-Machine-Translation/section06.tex
......@@ -1337,6 +1337,151 @@ NLP问题的隐含结构假设 & 无隐含结构假设，端到端学习 \\
\item GRU
\end{itemize}
%%% 图
\begin{center}
\begin{tikzpicture}
\setlength{\base}{0.6cm}
\tikzstyle{auxnode} = [inner sep=0pt,outer sep=0pt,opacity=0,draw=red,fill=red,circle,minimum size=3pt]
\tikzstyle{wordnode} = [font=\scriptsize]
\tikzstyle{opnode} = [inner sep=0pt,outer sep=0pt,draw,fill=green!30!white,font=\scriptsize,minimum size=10pt]
\tikzstyle{standard} = [rounded corners=5pt,thick]
\tikzstyle{emph} = [rounded corners=5pt,thick,draw=red]
\tikzstyle{formulanode} = [font=\scriptsize,align=left,draw=red,rectangle,fill=red!10!white,rounded corners=2pt,drop shadow]
% Skeleton
\begin{scope}[every label/.append style={label distance=1pt,font=\tiny,inner sep=0pt,opacity=0}]
\coordinate (aux12) at (0,0);
\node[auxnode,label={-45:12}] () at (aux12) {};
\coordinate (aux22) at ([yshift=\base]aux12);
\node[auxnode,label={-45:22}] () at (aux22) {};
\coordinate (aux23) at ([xshift=0.5\base]aux22);
\node[auxnode,label={-45:23}] () at (aux23) {};
\coordinate (aux32) at ([yshift=0.4\base]aux22);
\node[auxnode,label={-45:32}] () at (aux32) {};
\ExtractX{$([xshift=\base]aux23)$}
\ExtractY{$([yshift=\base]aux32)$}
\coordinate (aux44) at (\XCoord,\YCoord);
\node[auxnode,label={-45:44}] () at (aux44) {};
\coordinate (aux45) at ([xshift=\base]aux44);
\node[auxnode,label={-45:45}] () at (aux45) {};
\coordinate (aux46) at ([xshift=1.3\base]aux45);
\node[auxnode,label={-45:46}] () at (aux46) {};
\ExtractX{$(aux23)$}
\ExtractY{$([yshift=\base]aux44)$}
\coordinate (aux53) at (\XCoord,\YCoord);
\node[auxnode,label={-45:53}] () at (aux53) {};
\coordinate (aux56) at ([yshift=\base]aux46);
\node[auxnode,label={-45:56}] () at (aux56) {};
\ExtractX{$(aux45)$}
\ExtractY{$([yshift=0.5\base]aux56)$}
\coordinate (aux65) at (\XCoord,\YCoord);
\node[auxnode,label={-45:65}] () at (aux65) {};
\ExtractX{$([xshift=-\base]aux12)$}
\ExtractY{$([yshift=\base]aux65)$}
\coordinate (aux71) at (\XCoord,\YCoord);
\node[auxnode,label={-45:71}] () at (aux71) {};
\coordinate (aux75) at ([yshift=\base]aux65);
\node[auxnode,label={-45:75}] () at (aux75) {};
\ExtractX{$(aux56)$}
\ExtractY{$(aux75)$}
\coordinate (aux76) at (\XCoord,\YCoord);
\node[auxnode,label={-45:76}] () at (aux76) {};
\coordinate (aux78) at ([xshift=1.7\base]aux76);
\node[auxnode,label={-45:78}] () at (aux78) {};
\coordinate (aux87) at ([shift={(0.7\base,1.3\base)}]aux76);
\node[auxnode,label={-45:87}] () at (aux87) {};
\end{scope}
\begin{scope}
\node[opnode,circle,opacity=0] (r53) at (aux53) {};
\node[opnode,circle,opacity=0] (z56) at (aux56) {};
\node[opnode,circle,opacity=0] (z75) at (aux75) {};
\node[opnode,circle,opacity=0] (z76) at (aux76) {};
% reset gate
\visible<1>{
\draw[-latex,emph] (aux12) -- (aux32) -| (aux44) |- (r53);
\draw[emph] (aux71) -| (aux32) -| (aux44);
\node[opnode,circle,draw=red,thick] () at (aux44) {$\sigma$};
}
\visible<2->{
\draw[-latex,standard] (aux12) -- (aux32) -| (aux44) |- (r53);
\draw[standard] (aux71) -| (aux32) -| (aux44);
\node[opnode,circle] () at (aux44) {$\sigma$};
}
% update gate
\visible<2>{
\draw[-latex,emph] (aux12) -- (aux32) -| (aux45) -- (z75);
\draw[-latex,emph] (aux71) -| (aux32) -| (aux45) |- (z56);
\node[opnode,circle,draw=red,thick] () at (aux45) {$\sigma$};
\node[opnode,rectangle,rounded corners=2pt,inner sep=2pt,font=\tiny,draw=red,thick] () at (aux65) {$1-$};
}
\visible<3->{
\draw[-latex,standard] (aux12) -- (aux32) -| (aux45) -- (z75);
\draw[-latex,standard] (aux71) -| (aux32) -| (aux45) |- (z56);
\node[opnode,circle] () at (aux45) {$\sigma$};
\node[opnode,rectangle,rounded corners=2pt,inner sep=2pt,font=\tiny] () at (aux65) {$1-$};
}
% hidden update
\visible<3>{
\draw[-latex,emph] (aux71) -- (aux78);
\draw[-latex,emph] (aux71) -| (aux87);
\draw[-latex,emph] (aux71) -| (aux53) -- (aux23) -| (aux46) -- (z76);
\draw[emph] (aux12) |- (aux23) -| (aux46);
\node[opnode,rectangle,rounded corners=2pt,inner sep=2pt,draw=red,thick] (tanh) at (aux46) {$\mathrm{tanh}$};
\node[opnode,circle,draw=red,thick] () at (aux53) {X};
\node[opnode,circle,draw=red,thick] () at (aux56) {X};
\node[opnode,circle,draw=red,thick] () at (aux75) {X};
\node[opnode,circle,draw=red,thick] () at (aux76) {\textbf{+}};
}
\visible<4->{
\draw[-latex,standard] (aux71) -- (aux78);
\draw[-latex,standard] (aux71) -| (aux87);
\draw[-latex,standard] (aux71) -| (aux53) -- (aux23) -| (aux46) -- (z76);
\draw[standard] (aux12) |- (aux23) -| (aux46);
\node[opnode,rectangle,rounded corners=2pt,inner sep=2pt] (tanh) at (aux46) {$\mathrm{tanh}$};
\node[opnode,circle] () at (aux53) {X};
\node[opnode,circle] () at (aux56) {X};
\node[opnode,circle] () at (aux75) {X};
\node[opnode,circle] () at (aux76) {\textbf{+}};
}
\end{scope}
\begin{scope}
\node[wordnode,anchor=south] () at (aux71) {$h_t$};
\node[wordnode,anchor=west] () at (aux12) {$x_t$};
\visible<3->{
\node[wordnode,anchor=east] () at (aux87) {$h_{t+1}$};
\node[wordnode,anchor=south] () at (aux78) {$h_{t+1}$};
}
\end{scope}
\begin{pgfonlayer}{background}
\node[draw,very thick,rectangle,fill=blue!30!white,rounded corners=5pt,inner sep=6pt,fit=(aux22) (aux76) (z76) (tanh)] (GRU) {};
\end{pgfonlayer}
\begin{scope}
\visible<1->{
% reset gate formula
\node[formulanode,anchor=west,text width=4cm] (reset) at ([shift={(\base,0.7\base)}]aux78) {重置门\\$r_t=\sigma(W_r[h_t,x_t])$};
}
\visible<2->{
% update gate formula
\node[formulanode,anchor=north west,text width=4cm] (update) at ([yshift=-0.5\base]reset.south west) {更新门\\$u_t=\sigma(W_u[h_t,x_t])$};
}
\visible<3->{
% hidden update formula
\node[formulanode,anchor=north west,text width=4cm] () at ([yshift=-0.5\base]update.south west) {隐藏状态更新\\$\hat{h}_t=\mathrm{tanh}(W[r_t\cdot h_t,x_t])$\\$h_{t+1}=(1-u_t)\cdot h_t+u_t\cdot \hat{h}_t$};
}
\end{scope}
\end{tikzpicture}
\end{center}
\end{frame}
%%%------------------------------------------------------------------------------------------------------------
......
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