updates of section 3

Book/Chapter3/Figures/figure-expression.tex

@@ -12,7 +12,7 @@
 
 
 
 
 
 
-\node [anchor=west,inner sep=2pt,minimum height=2.5em] (eq1) at (0,0) {${\textrm{P}(\tau,\pi|\mathbf{t}) =  \prod_{j=0}^{l}{\textrm{P}(\varphi_j|\varphi_{1}^{j-1},\mathbf{t})} \times {\textrm{P}(\varphi_0|\varphi_{1}^{l},\mathbf{t})} \times}$};
+\node [anchor=west,inner sep=2pt,minimum height=2.5em] (eq1) at (0,0) {${\textrm{P}(\tau,\pi|\mathbf{t}) =  \prod_{j=1}^{l}{\textrm{P}(\varphi_j|\varphi_{1}^{j-1},\mathbf{t})} \times {\textrm{P}(\varphi_0|\varphi_{1}^{l},\mathbf{t})} \times}$};
 \node [anchor=north west,inner sep=2pt,minimum height=2.5em] (eq2) at ([xshift=-15.06em,yshift=0.0em]eq1.south east) {${\prod_{j=0}^l{\prod_{k=1}^{\varphi_j}{\textrm{P}(\tau_{jk}|\tau_{j1}^{k-1},\tau_{1}^{j-1},\varphi_{0}^{l},\mathbf{t} )}} \times}$};
 \node [anchor=north west,inner sep=2pt,minimum height=2.5em] (eq2) at ([xshift=-15.06em,yshift=0.0em]eq1.south east) {${\prod_{j=0}^l{\prod_{k=1}^{\varphi_j}{\textrm{P}(\tau_{jk}|\tau_{j1}^{k-1},\tau_{1}^{j-1},\varphi_{0}^{l},\mathbf{t} )}} \times}$};
 \node [anchor=north west,inner sep=2pt,minimum height=2.5em] (eq3) at ([xshift=-15.56em,yshift=0.0em]eq2.south east) {${\prod_{j=1}^l{\prod_{k=1}^{\varphi_j}{\textrm{P}(\pi_{jk}|\pi_{j1}^{k-1},\pi_{1}^{j-1},\tau_{0}^{l},\varphi_{0}^{l},\mathbf{t} )}} \times}$};
 \node [anchor=north west,inner sep=2pt,minimum height=2.5em] (eq3) at ([xshift=-15.56em,yshift=0.0em]eq2.south east) {${\prod_{j=1}^l{\prod_{k=1}^{\varphi_j}{\textrm{P}(\pi_{jk}|\pi_{j1}^{k-1},\pi_{1}^{j-1},\tau_{0}^{l},\varphi_{0}^{l},\mathbf{t} )}} \times}$};
 \node [anchor=north west,inner sep=2pt,minimum height=2.5em] (eq4) at ([xshift=-17.10em,yshift=0.0em]eq3.south east) {{${\prod_{k=1}^{\varphi_0}{\textrm{P}(\pi_{0k}|\pi_{01}^{k-1},\pi_{1}^{l},\tau_{0}^{l},\varphi_{0}^{l},\mathbf{t} )}}$}};
 \node [anchor=north west,inner sep=2pt,minimum height=2.5em] (eq4) at ([xshift=-17.10em,yshift=0.0em]eq3.south east) {{${\prod_{k=1}^{\varphi_0}{\textrm{P}(\pi_{0k}|\pi_{01}^{k-1},\pi_{1}^{l},\tau_{0}^{l},\varphi_{0}^{l},\mathbf{t} )}}$}};

Book/Chapter3/Figures/figure-word-alignment&probability-distribution-in-IBM-model-3.tex

@@ -15,8 +15,8 @@
 \node [anchor=west] (eq2) at ([xshift=3.0em,yshift=0.0em]eq1.east) {早饭};
 \node [anchor=west] (eq2) at ([xshift=3.0em,yshift=0.0em]eq1.east) {早饭};
 \node [anchor=north] (eq3) at ([xshift=0.0em,yshift=-2.0em]eq1.south) {Have};
 \node [anchor=north] (eq3) at ([xshift=0.0em,yshift=-2.0em]eq1.south) {Have};
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 \node [anchor=north] (eq4) at ([xshift=0.0em,yshift=-2.0em]eq2.south) {breakfast};
-\node [anchor=east] (eq5) at ([xshift=-1.0em,yshift=-1.8em]eq1.west) {$a_{1}$};
-\node [anchor=west] (eq6) at ([xshift=1.0em,yshift=-1.8em]eq2.east) {$\textrm{P}(\mathbf{s},a_{1}|\mathbf{t})=0.5$};
+\node [anchor=east] (eq5) at ([xshift=-1.0em,yshift=-1.8em]eq1.west) {$\mathbf{a}_{1}$};
+\node [anchor=west] (eq6) at ([xshift=1.0em,yshift=-1.8em]eq2.east) {$\textrm{P}(\mathbf{s},\mathbf{a}_{1}|\mathbf{t})=0.5$};
 \draw [-,very thick](eq1.south) -- (eq3.north);
 \draw [-,very thick](eq1.south) -- (eq3.north);
 \draw [-,very thick](eq2.south) -- (eq4.north);
 \draw [-,very thick](eq2.south) -- (eq4.north);
 \node [anchor=west] (eq7) at ([xshift=13.1em,yshift=1.4em]eq2.east) {};
 \node [anchor=west] (eq7) at ([xshift=13.1em,yshift=1.4em]eq2.east) {};
@@ -34,8 +34,8 @@
 \node [anchor=west] (eq2) at ([xshift=3.0em,yshift=0.0em]eq1.east) {早饭};
 \node [anchor=west] (eq2) at ([xshift=3.0em,yshift=0.0em]eq1.east) {早饭};
 \node [anchor=north] (eq3) at ([xshift=0.0em,yshift=-2.0em]eq1.south) {Have};
 \node [anchor=north] (eq3) at ([xshift=0.0em,yshift=-2.0em]eq1.south) {Have};
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 \node [anchor=north] (eq4) at ([xshift=0.0em,yshift=-2.0em]eq2.south) {breakfast};
-\node [anchor=east] (eq5) at ([xshift=-1.0em,yshift=-1.8em]eq1.west) {$a_{2}$};
-\node [anchor=west] (eq6) at ([xshift=1.0em,yshift=-1.8em]eq2.east) {$\textrm{P}(\mathbf{s},a_{2}|\mathbf{t})=0.1$};
+\node [anchor=east] (eq5) at ([xshift=-1.0em,yshift=-1.8em]eq1.west) {$\mathbf{a}_{2}$};
+\node [anchor=west] (eq6) at ([xshift=1.0em,yshift=-1.8em]eq2.east) {$\textrm{P}(\mathbf{s},\mathbf{a}_{2}|\mathbf{t})=0.1$};
 \draw [-,very thick](eq1.south) -- (eq4.north);
 \draw [-,very thick](eq1.south) -- (eq4.north);
 \draw [-,very thick](eq2.south) -- (eq3.north);
 \draw [-,very thick](eq2.south) -- (eq3.north);
 \end{scope}
 \end{scope}
@@ -45,8 +45,8 @@
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 \node [anchor=north] (eq3) at ([xshift=0.0em,yshift=-2.0em]eq1.south) {Have};
 \node [anchor=north] (eq3) at ([xshift=0.0em,yshift=-2.0em]eq1.south) {Have};
 \node [anchor=north] (eq4) at ([xshift=0.0em,yshift=-2.0em]eq2.south) {breakfast};
 \node [anchor=north] (eq4) at ([xshift=0.0em,yshift=-2.0em]eq2.south) {breakfast};
-\node [anchor=east] (eq5) at ([xshift=-1.0em,yshift=-1.8em]eq1.west) {$a_{3}$};
-\node [anchor=west] (eq6) at ([xshift=1.0em,yshift=-1.8em]eq2.east) {$\textrm{P}(\mathbf{s},a_{3}|\mathbf{t})=0.1$};
+\node [anchor=east] (eq5) at ([xshift=-1.0em,yshift=-1.8em]eq1.west) {$\mathbf{a}_{3}$};
+\node [anchor=west] (eq6) at ([xshift=1.0em,yshift=-1.8em]eq2.east) {$\textrm{P}(\mathbf{s},\mathbf{a}_{3}|\mathbf{t})=0.1$};
 \draw [-,very thick](eq1.south) -- (eq3.north);
 \draw [-,very thick](eq1.south) -- (eq3.north);
 \draw [-,very thick](eq2.south) -- (eq3.north);
 \draw [-,very thick](eq2.south) -- (eq3.north);
 \end{scope}
 \end{scope}
@@ -56,8 +56,8 @@
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 \node [anchor=north] (eq3) at ([xshift=0.0em,yshift=-2.0em]eq1.south) {Have};
 \node [anchor=north] (eq3) at ([xshift=0.0em,yshift=-2.0em]eq1.south) {Have};
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 \node [anchor=north] (eq4) at ([xshift=0.0em,yshift=-2.0em]eq2.south) {breakfast};
-\node [anchor=east] (eq5) at ([xshift=-1.0em,yshift=-1.8em]eq1.west) {$a_{4}$};
-\node [anchor=west] (eq6) at ([xshift=1.0em,yshift=-1.8em]eq2.east) {$\textrm{P}(\mathbf{s},a_{4}|\mathbf{t})=0.1$};
+\node [anchor=east] (eq5) at ([xshift=-1.0em,yshift=-1.8em]eq1.west) {$\mathbf{a}_{4}$};
+\node [anchor=west] (eq6) at ([xshift=1.0em,yshift=-1.8em]eq2.east) {$\textrm{P}(\mathbf{s},\mathbf{a}_{4}|\mathbf{t})=0.1$};
 \draw [-,very thick](eq1.south) -- (eq4.north);
 \draw [-,very thick](eq1.south) -- (eq4.north);
 \draw [-,very thick](eq2.south) -- (eq4.north);
 \draw [-,very thick](eq2.south) -- (eq4.north);
 \end{scope}
 \end{scope}
@@ -67,8 +67,8 @@
 \node [anchor=west] (eq2) at ([xshift=3.0em,yshift=0.0em]eq1.east) {早饭};
 \node [anchor=west] (eq2) at ([xshift=3.0em,yshift=0.0em]eq1.east) {早饭};
 \node [anchor=north] (eq3) at ([xshift=0.0em,yshift=-2.0em]eq1.south) {Have};
 \node [anchor=north] (eq3) at ([xshift=0.0em,yshift=-2.0em]eq1.south) {Have};
 \node [anchor=north] (eq4) at ([xshift=0.0em,yshift=-2.0em]eq2.south) {breakfast};
 \node [anchor=north] (eq4) at ([xshift=0.0em,yshift=-2.0em]eq2.south) {breakfast};
-\node [anchor=east] (eq5) at ([xshift=-1.0em,yshift=-1.8em]eq1.west) {$a_{5}$};
-\node [anchor=west] (eq6) at ([xshift=1.0em,yshift=-1.8em]eq2.east) {$\textrm{P}(\mathbf{s},a_{5}|\mathbf{t})=0.05$};
+\node [anchor=east] (eq5) at ([xshift=-1.0em,yshift=-1.8em]eq1.west) {$\mathbf{a}_{5}$};
+\node [anchor=west] (eq6) at ([xshift=1.0em,yshift=-1.8em]eq2.east) {$\textrm{P}(\mathbf{s},\mathbf{a}_{5}|\mathbf{t})=0.05$};
 \draw [-,very thick](eq1.south) -- (eq3.north);
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 \draw [-,very thick](eq2.south) -- (eq3.north);
 \draw [-,very thick](eq2.south) -- (eq3.north);
@@ -82,8 +82,8 @@
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-\node [anchor=east] (eq5) at ([xshift=-1.0em,yshift=-1.8em]eq1.west) {$a_{6}$};
-\node [anchor=west] (eq6) at ([xshift=1.0em,yshift=-1.8em]eq2.east) {$\textrm{P}(\mathbf{s},a_{6}|\mathbf{t})=0.05$};
+\node [anchor=east] (eq5) at ([xshift=-1.0em,yshift=-1.8em]eq1.west) {$\mathbf{a}_{6}$};
+\node [anchor=west] (eq6) at ([xshift=1.0em,yshift=-1.8em]eq2.east) {$\textrm{P}(\mathbf{s},\mathbf{a}_{6}|\mathbf{t})=0.05$};
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