Commit 569f7f6f by 曹润柘

update chapter1 and chapter2

parent aacc5f12
......@@ -73,7 +73,7 @@
{\footnotesize
\node [anchor=north west,inner sep=1mm] (t15final) at ([yshift=-1.5em]t15.south west) {I am satisfied with you};
\node [draw,circle,thick,dotted,ublue,minimum width=1.5em] (be1) at ([xshift=1.5em]t15.west) {};
\node [draw,circle,thick,dotted,ublue,minimum width=1.5em] (be1) at ([xshift=1.4em]t15.west) {};
\draw[->,thick,ublue] (be1.south)..controls +(south:0.5) and +(north:0.6)..([xshift=1.8em,yshift=-0.0em]t15final.north west);
}
{
......
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\documentclass[cjk,t,compress,12pt]{standalone}
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%%% outline
%-------------------------------------------------------------------------
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{\footnotesize
\Tree[.\node[inner sep=2pt](t1n1){IP};
[.\node[inner sep=2pt](t1n2){NP};
[.\node[inner sep=2pt](t1n3){NN}; 狗 ]
]
[.\node[inner sep=2pt](t1n4){VP};
[.\node[inner sep=2pt](t1n5){VV}; 喜欢 ]
[.\node[inner sep=2pt](t1n6){VP};
[.\node[inner sep=2pt](t1n7){VV}; 吃 ]
[.\node[inner sep=2pt](t1n8){NN}; 骨头 ]
]
]
]
}
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{\footnotesize
\Tree[.\node[inner sep=2pt](t2n1){IP};
[.\node[inner sep=2pt](t2n2){VP};
[.\node[inner sep=2pt](t2n3){VV}; \node[](t2w1){}; ]
]
[.\node[inner sep=2pt](t2n4){IP};
[.\node[inner sep=2pt](t2n5){VP};
[.\node[inner sep=2pt](t2n6){VV}; 看 ]
]
[.\node[inner sep=2pt](t2n7){NP};
[.\node[inner sep=2pt](t2n8){QP};
[.\node[inner sep=2pt](t2n9){CD}; 一 ]
[.\node[inner sep=2pt](t2n10){M}; 个 ]
]
[.\node[inner sep=2pt](t2n11){ADJP};
[.\node[inner sep=2pt](t2n12){JJ}; 新 ]
]
[.\node[inner sep=2pt](t2n13){NP};
[.\node[inner sep=2pt](t2n14){NN}; \node[](t2wn){句子}; ]
]
]
]
]
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\node [anchor=south] (treebanklabel) at (t1n1.north) {{\color{ublue} 数据:树库}};
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\node [anchor=north west] (math1part2) at ([xshift=-1em,yshift=0.2em]math1.south west) {$=\frac{\textrm{'VP'和'VV NN'同时出现的次数=1}}{\textrm{'VP'出现的次数}=4}$};
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\node [anchor=north west] (math2part2) at ([xshift=-1em,yshift=0.2em]math2.south west) {$=\frac{\textrm{'NP'和'NN'同时出现的次数=2}}{\textrm{'NP'出现的次数}=3}$};
\node [anchor=north west] (math2part3) at ([yshift=0.2em]math2part2.south west){$=\frac{2}{3}$};
\node [anchor=north west] (math3) at ([yshift=-6em]math2.north west) {P('IP $\to$ NP NP')};
\node [anchor=north west] (math3part2) at ([xshift=-1em,yshift=0.2em]math3.south west) {$=\frac{\textrm{'IP'和'NP NP'同时出现的次数=0}}{\textrm{'IP'出现的次数}=3}$};
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\usepackage{tikz}
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\usepackage{hyperref}
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\usetikzlibrary{shadows} % LATEX and plain TEX when using Tik Z
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\usetikzlibrary{arrows} % LATEX and plain TEX when using Tik Z
\usetikzlibrary{decorations}
\usetikzlibrary{arrows,shapes}
\usetikzlibrary{decorations.text}
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%%% outline
%-------------------------------------------------------------------------
\begin{minipage}[t]{0.38\linewidth}
{\small
\begin{eqnarray}
& &\textrm{IP} \nonumber \\
& \overset{r_8}{\Rightarrow} & \textrm{NP VP} \nonumber \\
& \overset{r_5}{\Rightarrow} & \textrm{NN VP} \nonumber \\
& \overset{r_1}{\Rightarrow} & \textrm{猫 VP} \nonumber \\
& \overset{r_7}{\Rightarrow} & \textrm{猫 VV VP} \nonumber \\
& \overset{r_2}{\Rightarrow} & \textrm{猫 喜欢 VP} \nonumber \\
& \overset{r_6}{\Rightarrow} & \textrm{猫 喜欢 VV NN} \nonumber \\
& \overset{r_3}{\Rightarrow} & \textrm{猫 喜欢 吃 NN} \nonumber \\
& \overset{r_4}{\Rightarrow} & \textrm{猫 喜欢 吃 鱼} \nonumber
\end{eqnarray}
}
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\hfill
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\vspace{1.0em}
\begin{center}
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{\scriptsize
\node [anchor=west,inner sep=2pt] (r1) at (0,0) {$r_1$: NN $\to$};
\node [anchor=west,inner sep=2pt] (r2) at ([xshift=3em]r1.east) {$r_2$: VV $\to$ 喜欢};
\node [anchor=north west,inner sep=2pt] (r3) at ([yshift=-0.2em]r1.south west) {$r_3$: VV $\to$};
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\node [anchor=north west,inner sep=2pt] (r6) at ([yshift=-0.2em]r4.south west) {$r_6$: VP $\to$ VV NN};
\node [anchor=north west,inner sep=2pt] (r7) at ([yshift=-0.2em]r5.south west) {$r_7$: VP $\to$ VV VP};
\node [anchor=north west,inner sep=2pt] (r8) at ([yshift=-0.2em]r6.south west) {$r_8$: IP $\to$ NP VP};
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\node [anchor=west,inner sep=2pt] (r2) at ([xshift=3em]r1.east) {$r_2$: VV $\to$ 喜欢};
\node [anchor=north west,inner sep=2pt] (r3) at ([yshift=-0.2em]r1.south west) {$r_3$: VV $\to$};
\node [anchor=north west,inner sep=2pt] (r4) at ([yshift=-0.2em]r2.south west) {$r_4$: NN $\to$};
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\node [anchor=north west,inner sep=2pt] (r7) at ([yshift=-0.2em]r5.south west) {$r_7$: VP $\to$ VV VP};
\node [anchor=north west,inner sep=2pt] (r8) at ([yshift=-0.2em]r6.south west) {$r_8$: IP $\to$ NP VP};
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\Tree[.IP \edge[white];
[.{\color{white} NP} \edge[white];
[.{\color{white} NN} \edge[white]; \node[white](sw1){}; ]
] \edge[white];
[.{\color{white} VP} \edge[white];
[.{\color{white} VV} \edge[white]; \node[white](sw2){喜欢}; ] \edge[white];
[.{\color{white} VP} \edge[white];
[.{\color{white} VV} \edge[white]; \node[white](sw1){}; ] \edge[white];
[.{\color{white} NN} \edge[white]; \node[white](sw1){}; ]
]
]
]
\Tree[.IP
[.NP \edge[white];
[.{\color{white} NN} \edge[white]; \node[white](sw1){}; ]
]
[.VP \edge[white];
[.{\color{white} VV} \edge[white]; \node[white](sw2){喜欢}; ] \edge[white];
[.{\color{white} VP} \edge[white];
[.{\color{white} VV} \edge[white]; \node[white](sw1){}; ] \edge[white];
[.{\color{white} NN} \edge[white]; \node[white](sw1){}; ]
]
]
]
\Tree[.IP
[.NP
[.NN \edge[white]; \node[white](sw1){}; ]
]
[.VP \edge[white];
[.{\color{white} VV} \edge[white]; \node[white](sw2){喜欢}; ] \edge[white];
[.{\color{white} VP} \edge[white];
[.{\color{white} VV} \edge[white]; \node[white](sw1){}; ] \edge[white];
[.{\color{white} NN} \edge[white]; \node[white](sw1){}; ]
]
]
]
\Tree[.IP
[.NP
[.NN \node(sw1){}; ]
]
[.VP \edge[white];
[.{\color{white} VV} \edge[white]; \node[white](sw2){喜欢}; ] \edge[white];
[.{\color{white} VP} \edge[white];
[.{\color{white} VV} \edge[white]; \node[white](sw1){}; ] \edge[white];
[.{\color{white} NN} \edge[white]; \node[white](sw1){}; ]
]
]
]
\Tree[.IP
[.NP
[.NN \node(sw1){}; ]
]
[.VP
[.VV \edge[white]; \node[white](sw2){喜欢}; ]
[.VP \edge[white];
[.{\color{white} VV} \edge[white]; \node[white](sw1){}; ] \edge[white];
[.{\color{white} NN} \edge[white]; \node[white](sw1){}; ]
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[.NN \node(sw1){}; ]
]
[.VP
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[.NN \node(sw1){}; ]
]
[.VP
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[.NN \edge[white]; \node[white](sw1){}; ]
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[.NP
[.NN \node(sw1){}; ]
]
[.VP
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[.VP
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[.NN \node(sw1){}; ]
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%---------------------------------------------------------------------
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%%% outline
%-------------------------------------------------------------------------
\begin{tikzpicture}
\begin{scope}[grow'=up,level distance=23pt]
\Tree[.\node(t1){IP};
[.\node(t2){NP}; \edge[roof]; \node(t3){$\textrm{中国}_{1}\textrm{明星}_{2}\textrm{艺术团}_{3}$}; ]
[.\node(t4){VP};
[.\node(t5){BA};\node(t9){$\textrm{}_{4}$};]
[.\node(t6){NP};\edge[roof]; \node(t10){$\textrm{}_{5}\textrm{}_{6}\textrm{精彩}_{7}\textrm{}_{8}\textrm{京剧}_{9}\textrm{歌舞}_{10}$};]
[.\node(t7){VP};
[.\node(t11){VV}; \node(t12){$\textrm{呈现}_{11}$};]
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[.\node(t8){PP};
[.\node(t13){P}; \node(t15){$\textrm{}_{12}$};]
[.\node(t14){NP};\edge[roof]; \node(t16){$\textrm{香港}_{13}\textrm{观众}_{14}$};]
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[..
]
]
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%%% outline
%-------------------------------------------------------------------------
\begin{tabular}{l c c c}
&
\begin{tikzpicture}
\begin{scope}[sibling distance=-5pt, level distance=20pt]
{\footnotesize
\Tree[.IP
[.VP
[.VP
[.NN 猫 ]
[.VV 喜欢 ]
]
[.VV 吃 ]
]
[.NP
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&
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{\footnotesize
\Tree[.IP
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[.NN 猫 ]
]
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&
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{\footnotesize
\Tree[.IP
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]
[.VP
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\\
语言学家: & 不对 && 不对 \\
我们: & 似乎对了 & 比较肯定 & 不太可能 \\
分析器: & P=0.2 & P=0.6 & P=0.1
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]
]
\Tree[.\node[inner sep=1pt,fill=red!20](sn0){IP\scriptsize{:句子}};
[.\node[inner sep=1pt,fill=red!20](sn1){NP\scriptsize{:名}};
[.\node[inner sep=1pt,fill=blue!20](sn2){NN\tiny{:名词}}; \node(sw1){}; ]
]
[.\node[inner sep=1pt,fill=red!20](sn3){VP\scriptsize{:动}};
[.\node[inner sep=1pt,fill=blue!20](sn4){VV\tiny{:动词}}; \node(sw2){喜欢}; ]
[.\node[inner sep=1pt,fill=green!20](sn5){VP\scriptsize{:动}};
[.\node[inner sep=1pt,fill=green!20](sn6){VV\tiny{:动词}}; \node(sw1){}; ]
[.\node[inner sep=1pt,fill=green!20](sn7){NN\tiny{:名词}}; \node(sw1){}; ]
]
]
]
\end{scope}
\begin{scope}[xshift=1.7in,yshift=-0.4in]
\node [,inner sep=2pt] (w1) at (0,0) {};
\node [anchor=west,inner sep=2pt] (w2) at ([xshift=0.8em,yshift=3em]w1.east) {喜欢};
\node [anchor=west,inner sep=2pt] (w3) at ([xshift=4.5em]w1.east) {};
\node [anchor=west,inner sep=2pt] (w4) at ([xshift=2em,yshift=-3em]w3.east) {};
\draw [<-,ultra thick,ublue] (w1.north east) -- (w2.south) node [pos=0.3, above, xshift=-0.5em] {\color{red}{\tiny{主谓}}};
\draw [<-,ultra thick,red] (w3.north west) -- (w2.south) node [pos=0.3, above, xshift=0.5em] {\color{red}{\tiny{连动}}};
\draw [->,ultra thick,ugreen] (w3.south east) -- (w4.north west) node [pos=0.5, above, xshift=0.5em] {\color{red}{\tiny{谓宾}}};
\end{scope}
\end{tikzpicture}
%---------------------------------------------------------------------
\end{CJK}
\end{document}
\def\CTeXPreproc{Created by ctex v0.2.13, don't edit!}
\documentclass[cjk,t,compress,12pt]{standalone}
%\documentclass{article}
%\usepackage{beamerarticle}
\usepackage{pstricks}
\usepackage{etex}
\usepackage{eso-pic,graphicx}
\usepackage{fancybox}
\usepackage{amsmath,amssymb}
\usepackage{setspace}
\usepackage{xcolor}
\usepackage{CJK}
\usepackage{tikz}
\usepackage{tikz-qtree}
\usepackage{hyperref}
\usetikzlibrary{arrows,decorations.pathreplacing}
\usetikzlibrary{shadows} % LATEX and plain TEX when using Tik Z
\usepgflibrary{arrows} % LATEX and plain TEX and pure pgf
\usetikzlibrary{arrows} % LATEX and plain TEX when using Tik Z
\usetikzlibrary{decorations}
\usetikzlibrary{arrows,shapes}
\usetikzlibrary{decorations.text}
\usetikzlibrary{positioning,fit,calc}
\usetikzlibrary{mindmap,backgrounds} % mind map
\DeclareMathOperator*{\argmax}{arg\,max}
\DeclareMathOperator*{\argmin}{arg\,min}
\definecolor{ublue}{rgb}{0.152,0.250,0.545}
\definecolor{ugreen}{rgb}{0,0.5,0}
\begin{document}
\begin{CJK}{UTF8}{you}
%%% outline
%-------------------------------------------------------------------------
\begin{tikzpicture}
\begin{scope}
\node [] (sent) at (0,0) {\textbf{猫 喜欢 吃 鱼}};
\end{scope}
\begin{scope}[xshift=-8em,yshift=-9em,sibling distance=-5pt,level distance=17pt,grow'=up]
{\footnotesize
\Tree[.IP
[.VP
[.VP
[.NN 猫 ]
[.VV 喜欢 ]
]
[.VV 吃 ]
]
[.NP
[.NN 鱼 ]
]
]
}
\end{scope}
\begin{scope}[xshift=-1em,yshift=-9em,sibling distance=-5pt,level distance=17pt,grow'=up]
{\footnotesize
\Tree[.IP
[.NP
[.NN 猫 ]
]
[.VP
[.VV 喜欢 ]
[.VP
[.VV 吃 ]
[.NN 鱼 ]
]
]
]
}
\end{scope}
\begin{scope}[xshift=8em,yshift=-9em,sibling distance=-5pt, level distance=17pt,grow'=up]
{\footnotesize
\Tree[.IP
[.NP
[.NN 猫 ]
]
[.VP
[.VP
[.VV 喜欢 ]
[.VV 吃 ]
]
[.NP
[.NN 鱼 ]
]
]
]
}
\end{scope}
\draw [->,thick,ublue] ([xshift=-2em]sent.south) ..controls + (south:2em) and +(north:2em).. ([xshift=-8em,yshift=-2em]sent.south);
\draw [->,thick,ublue] ([xshift=-1em]sent.south) ..controls + (south:2em) and +(north:2em).. ([xshift=-2em,yshift=-3em]sent.south);
\draw [->,thick,ublue] ([xshift=0em]sent.south) ..controls + (south:2em) and +(north:2em).. ([xshift=6.5em,yshift=-2em]sent.south);
\draw [->,thick,ublue,dotted] ([xshift=1em]sent.south) ..controls + (south:1.5em) and +(north:2.5em).. ([xshift=12.5em,yshift=-2em]sent.south);
\node [anchor=north west] (others) at (11.8em,-3em) {...};
\node [] (d1) at (-9em,-10em) {$d_1$};
\node [] (d2) at (0em,-10em) {$d_2$};
\node [] (d3) at (8.5em,-10em) {$d_2$};
\node [anchor=east] (d1p) at ([xshift=0.4em]d1.west) {P(};
\node [anchor=west] (d1p2) at ([xshift=-0.4em]d1.east) {)=0.0123};
\node [anchor=east] (d2p) at ([xshift=0.4em]d2.west) {P(};
\node [anchor=west] (d2p2) at ([xshift=-0.4em]d2.east) {)=0.4031};
\node [anchor=east] (d3p) at ([xshift=0.4em]d3.west) {P(};
\node [anchor=west] (d3p2) at ([xshift=-0.4em]d3.east) {)=0.0056};
\end{tikzpicture}
%---------------------------------------------------------------------
\end{CJK}
\end{document}
\def\CTeXPreproc{Created by ctex v0.2.13, don't edit!}
\documentclass[cjk,t,compress,12pt]{standalone}
%\documentclass{article}
%\usepackage{beamerarticle}
\usepackage{pstricks}
\usepackage{etex}
\usepackage{eso-pic,graphicx}
\usepackage{fancybox}
\usepackage{amsmath,amssymb}
\usepackage{setspace}
\usepackage{xcolor}
\usepackage{CJK}
\usepackage{tikz}
\usepackage{tikz-qtree}
\usepackage{hyperref}
\usetikzlibrary{arrows,decorations.pathreplacing}
\usetikzlibrary{shadows} % LATEX and plain TEX when using Tik Z
\usepgflibrary{arrows} % LATEX and plain TEX and pure pgf
\usetikzlibrary{arrows} % LATEX and plain TEX when using Tik Z
\usetikzlibrary{decorations}
\usetikzlibrary{arrows,shapes}
\usetikzlibrary{decorations.text}
\usetikzlibrary{positioning,fit,calc}
\usetikzlibrary{mindmap,backgrounds} % mind map
\DeclareMathOperator*{\argmax}{arg\,max}
\DeclareMathOperator*{\argmin}{arg\,min}
\definecolor{ublue}{rgb}{0.152,0.250,0.545}
\definecolor{ugreen}{rgb}{0,0.5,0}
\begin{document}
\begin{CJK}{UTF8}{you}
%%% outline
%-------------------------------------------------------------------------
\begin{tikzpicture}
{\scriptsize
\begin{scope}[level distance=10pt,xshift=1.5em,yshift=-0.5em]
{\tiny
\Tree[.\node[inner sep=1pt](t1n1){IP};
[.\node[inner sep=1pt](t1n2){VP};
[.\node[inner sep=1pt](t1n3){VV}; \node[](t1w1){}; ]
]
[.\node[inner sep=1pt](t1n4){NP};
[.\node[inner sep=1pt](t1n5){M}; 个 ]
[.\node[inner sep=1pt](t1n6){NN}; 例子 ]
]
]
}
\end{scope}
\begin{scope}[level distance=10pt,xshift=6.5em,yshift=-0.5em]
{\tiny
\Tree[.\node[inner sep=1pt](t2n1){IP};
[.\node[inner sep=1pt](t2n2){NP};
[.\node[inner sep=1pt](t2n3){PN}; 你 ]
]
[.\node[inner sep=1pt](t2n4){VP};
[.\node[inner sep=1pt](t2n5){VV}; 看到 ]
[.\node[inner sep=1pt](t2n6){AS}; \node[](t2wn){}; ]
]
]
}
\end{scope}
\node [anchor=west] (othertrees) at ([xshift=1em]t2n1.east) {...};
\node [anchor=south west] (corpuslabel) at ([xshift=-1em]t1n1.north west) {{\color{ublue} \textbf{学习用数据}}};
\begin{pgfonlayer}{background}
\node[rectangle,draw=ublue,thick,inner sep=0.2em,fill=white,drop shadow] [fit = (t1n1) (t1w1) (t2wn) (othertrees) (corpuslabel)] (corpus) {};
\end{pgfonlayer}
}
\node [anchor=west,ugreen] (P) at ([xshift=4.5em,yshift=-0.8em]corpus.east){\large{P($\cdot$)}};
\node [anchor=south] (modellabel) at (P.north) {{\color{ublue} {\scriptsize \textbf{统计分析模型}}}};
\begin{pgfonlayer}{background}
\node[rectangle,draw=ublue,thick,inner sep=0.2em,fill=white,drop shadow] [fit = (P) (modellabel)] (model) {};
\end{pgfonlayer}
\draw [->,very thick,ublue] ([xshift=0.2em]corpus.east) -- ([xshift=3.0em]corpus.east) node [pos=0.5, above] {\color{red}{\scriptsize{统计学习}}};
\draw [->,very thick,ublue] ([xshift=0.2em]model.east) -- ([xshift=3.2em]model.east) node [pos=0.5, above] {\color{red}{\scriptsize{穷举\&计算}}};
{\scriptsize
\node [anchor=north west] (sentlabel) at ([xshift=5.0em,yshift=-1em]model.north east) {{\color{ublue} {\scriptsize \textbf{统计分析模型}}}};
\node [anchor=north west] (sent) at (sentlabel.south west) {\textbf{对任意句子进行分析}};
}
\begin{pgfonlayer}{background}
\node[rectangle,draw=ublue,thick,inner sep=0.2em,fill=white,drop shadow] [fit = (sentlabel) (sent)] (parser) {};
\end{pgfonlayer}
\end{tikzpicture}
%---------------------------------------------------------------------
\end{CJK}
\end{document}
\def\CTeXPreproc{Created by ctex v0.2.13, don't edit!}
\documentclass[cjk,t,compress,12pt]{standalone}
%\documentclass{article}
%\usepackage{beamerarticle}
\usepackage{pstricks}
\usepackage{etex}
\usepackage{eso-pic,graphicx}
\usepackage{fancybox}
\usepackage{amsmath,amssymb}
\usepackage{setspace}
\usepackage{xcolor}
\usepackage{CJK}
\usepackage{tikz}
\usepackage{tikz-qtree}
\usepackage{hyperref}
\usetikzlibrary{arrows,decorations.pathreplacing}
\usetikzlibrary{shadows} % LATEX and plain TEX when using Tik Z
\usepgflibrary{arrows} % LATEX and plain TEX and pure pgf
\usetikzlibrary{arrows} % LATEX and plain TEX when using Tik Z
\usetikzlibrary{decorations}
\usetikzlibrary{arrows,shapes}
\usetikzlibrary{decorations.text}
\usetikzlibrary{positioning,fit,calc}
\usetikzlibrary{mindmap,backgrounds} % mind map
\DeclareMathOperator*{\argmax}{arg\,max}
\DeclareMathOperator*{\argmin}{arg\,min}
\definecolor{ublue}{rgb}{0.152,0.250,0.545}
\definecolor{ugreen}{rgb}{0,0.5,0}
\begin{document}
\begin{CJK}{UTF8}{you}
%%% outline
%-------------------------------------------------------------------------
\begin{tikzpicture}
\small
\node [anchor=west,inner sep=2pt] (r1) at (0,0) {$r_1$: NN $\to$};
\node [anchor=west,inner sep=2pt] (r2) at ([xshift=6em]r1.east) {$r_2$: VV $\to$ 喜欢};
\node [anchor=north west,inner sep=2pt] (r3) at ([yshift=-0.2em]r1.south west) {$r_3$: VV $\to$};
\node [anchor=north west,inner sep=2pt] (r4) at ([yshift=-0.2em]r2.south west) {$r_4$: NN $\to$};
\node [anchor=north west,inner sep=2pt] (r5) at ([yshift=-0.2em]r3.south west) {$r_5$: NP $\to$ NN};
\node [anchor=north west,inner sep=2pt] (r6) at ([yshift=-0.2em]r4.south west) {$r_6$: VP $\to$ VV NN};
\node [anchor=north west,inner sep=2pt] (r7) at ([yshift=-0.2em]r5.south west) {$r_7$: VP $\to$ VV VP};
\node [anchor=north west,inner sep=2pt] (r8) at ([yshift=-0.2em]r6.south west) {$r_8$: IP $\to$ NP VP};
\node [anchor=west,inner sep=2pt,fill=blue!20] (r1) at (0,0) {$r_1$: NN $\to$};
\node [anchor=west,inner sep=2pt,fill=blue!20] (r2) at ([xshift=6em]r1.east) {$r_2$: VV $\to$ 喜欢};
\node [anchor=north west,inner sep=2pt,fill=blue!20] (r3) at ([yshift=-0.2em]r1.south west) {$r_3$: VV $\to$};
\node [anchor=north west,inner sep=2pt,fill=blue!20] (r4) at ([yshift=-0.2em]r2.south west) {$r_4$: NN $\to$};
\node [anchor=north west,inner sep=2pt,fill=red!20] (r5) at ([yshift=-0.2em]r3.south west) {$r_5$: NP $\to$ NN};
\node [anchor=north west,inner sep=2pt,fill=green!20] (r6) at ([yshift=-0.2em]r4.south west) {$r_6$: VP $\to$ VV NN};
\node [anchor=north west,inner sep=2pt,fill=green!20] (r7) at ([yshift=-0.2em]r5.south west) {$r_7$: VP $\to$ VV VP};
\node [anchor=north west,inner sep=2pt,fill=green!20] (r8) at ([yshift=-0.2em]r6.south west) {$r_8$: IP $\to$ NP VP};
\node [anchor=north west,fill=blue!20] (sent1) at ([yshift=-0.4em]r7.south west) {$r_1,r_2,r_3,r_4$};
\node [anchor=west] (sent1part2) at (sent1.east) {为生成单词词性的规则};
\node [anchor=north west,fill=red!20] (sent2) at ([yshift=-0.2em]sent1.south west) {$r_5$};
\node [anchor=west] (sent2part2) at (sent2.east) {为单变量规则,它将词性NN进一步抽象为名词短语NP};
\node [anchor=north west,fill=green!20] (sent3) at ([yshift=-0.2em]sent2.south west){$r_6,r_7,r_8$};
\node [anchor=west] (sent3part2) at (sent3.east) {为句法结构规则,比如$r_8$表示了主(NP)+谓(VP)结构};
\end{tikzpicture}
%---------------------------------------------------------------------
\end{CJK}
\end{document}
\def\CTeXPreproc{Created by ctex v0.2.13, don't edit!}
\documentclass[cjk,t,compress,12pt]{standalone}
%\documentclass{article}
%\usepackage{beamerarticle}
\usepackage{pstricks}
\usepackage{etex}
\usepackage{eso-pic,graphicx}
\usepackage{fancybox}
\usepackage{amsmath,amssymb}
\usepackage{setspace}
\usepackage{xcolor}
\usepackage{CJK}
\usepackage{tikz}
\usepackage{tikz-qtree}
\usepackage{hyperref}
\usetikzlibrary{arrows,decorations.pathreplacing}
\usetikzlibrary{shadows} % LATEX and plain TEX when using Tik Z
\usepgflibrary{arrows} % LATEX and plain TEX and pure pgf
\usetikzlibrary{arrows} % LATEX and plain TEX when using Tik Z
\usetikzlibrary{decorations}
\usetikzlibrary{arrows,shapes}
\usetikzlibrary{decorations.text}
\usetikzlibrary{positioning,fit,calc}
\usetikzlibrary{mindmap,backgrounds} % mind map
\DeclareMathOperator*{\argmax}{arg\,max}
\DeclareMathOperator*{\argmin}{arg\,min}
\definecolor{ublue}{rgb}{0.152,0.250,0.545}
\definecolor{ugreen}{rgb}{0,0.5,0}
\begin{document}
\begin{CJK}{UTF8}{you}
%%% outline
%-------------------------------------------------------------------------
\begin{minipage}[t]{0.32\linewidth}
\vspace{1.5em}
\begin{tikzpicture}
\begin{scope}[sibling distance=3pt, level distance=25pt]
{\small
\Tree[.IP
[.NP
[.NN \node(sw1){}; ]
]
[.VP
[.VV \node(sw2){喜欢}; ]
[.VP
[.VV \node(sw1){}; ]
[.NN \node(sw1){}; ]
]
]
]
}
\end{scope}
\end{tikzpicture}
\end{minipage}
\hfill
\begin{minipage}[t]{0.32\linewidth}
{\small
\begin{eqnarray}
& & \textrm{\textbf{推导1}} \nonumber \\
& & \textrm{IP} \nonumber \\
& \overset{r_8}{\Rightarrow} & \textrm{NP VP} \nonumber \\
& \overset{r_5}{\Rightarrow} & \textrm{NN VP} \nonumber \\
& \overset{r_1}{\Rightarrow} & \textrm{猫 VP} \nonumber \\
& \overset{r_7}{\Rightarrow} & \textrm{猫 VV VP} \nonumber \\
& \overset{r_2}{\Rightarrow} & \textrm{猫 喜欢 VP} \nonumber \\
& \overset{r_6}{\Rightarrow} & \textrm{猫 喜欢 VV NN} \nonumber \\
& \overset{r_3}{\Rightarrow} & \textrm{猫 喜欢 吃 NN} \nonumber \\
& \overset{r_4}{\Rightarrow} & \textrm{猫 喜欢 吃 鱼} \nonumber
\end{eqnarray}
}
\end{minipage}
\hfill
\begin{minipage}[t]{0.32\linewidth}
{\small
\begin{eqnarray}
& & \textrm{\textbf{推导2}} \nonumber \\
& & \textrm{IP} \nonumber \\
& \overset{r_8}{\Rightarrow} & \textrm{NP VP} \nonumber \\
& \overset{r_7}{\Rightarrow} & \textrm{NP VV VP} \nonumber \\
& \overset{r_2}{\Rightarrow} & \textrm{NP 喜欢 VP} \nonumber \\
& \overset{r_6}{\Rightarrow} & \textrm{NP 喜欢 VV NN} \nonumber \\
& \overset{r_4}{\Rightarrow} & \textrm{NP 喜欢 VV 鱼} \nonumber \\
& \overset{r_5}{\Rightarrow} & \textrm{NN 喜欢 VV 鱼} \nonumber \\
& \overset{r_3}{\Rightarrow} & \textrm{NN 喜欢 吃 鱼} \nonumber \\
& \overset{r_1}{\Rightarrow} & \textrm{猫 喜欢 吃 鱼} \nonumber
\end{eqnarray}
}
\end{minipage}
%---------------------------------------------------------------------
\end{CJK}
\end{document}
\def\CTeXPreproc{Created by ctex v0.2.13, don't edit!}
\documentclass[cjk,t,compress,12pt]{standalone}
%\documentclass{article}
%\usepackage{beamerarticle}
\usepackage{pstricks}
\usepackage{etex}
\usepackage{eso-pic,graphicx}
\usepackage{fancybox}
\usepackage{amsmath,amssymb}
\usepackage{setspace}
\usepackage{xcolor}
\usepackage{CJK}
\usepackage{tikz}
\usepackage{tikz-qtree}
\usepackage{hyperref}
\usetikzlibrary{arrows,decorations.pathreplacing}
\usetikzlibrary{shadows} % LATEX and plain TEX when using Tik Z
\usepgflibrary{arrows} % LATEX and plain TEX and pure pgf
\usetikzlibrary{arrows} % LATEX and plain TEX when using Tik Z
\usetikzlibrary{decorations}
\usetikzlibrary{arrows,shapes}
\usetikzlibrary{decorations.text}
\usetikzlibrary{positioning,fit,calc}
\usetikzlibrary{mindmap,backgrounds} % mind map
\DeclareMathOperator*{\argmax}{arg\,max}
\DeclareMathOperator*{\argmin}{arg\,min}
\definecolor{ublue}{rgb}{0.152,0.250,0.545}
\definecolor{ugreen}{rgb}{0,0.5,0}
\begin{document}
\begin{CJK}{UTF8}{you}
%%% outline
%-------------------------------------------------------------------------
\begin{tikzpicture}
\begin{scope}
\node [anchor=west] (arule) at (0,0) {\large{$u \overset{r}{\Rightarrow} v$}};
\node [anchor=west,inner sep=2pt] (u) at ([xshift=-4em,yshift=-4em]arule.west) {VV};
\node [anchor=west,inner sep=2pt,fill=orange!40] (u) at ([xshift=-4em,yshift=-4em]arule.west) {VV};
\node [anchor=west] (upart2) at (u.east) {NN};
\node [anchor=east] (unumber) at (u.west) {$u:$};
\node [anchor=west,inner sep=2pt] (r) at ([xshift=-3em,yshift=2.5em]u.west) {VV};
\node [anchor=west,inner sep=2pt,fill=orange!40] (r) at ([xshift=-3em,yshift=2.5em]u.west) {VV};
\node [anchor=west] (rpart2) at (r.east) {$\to$};
\node [anchor=west,inner sep=2pt] (rpart3) at (rpart2.east) {};
\node [anchor=east] (rnumber) at (r.west) {$r:$};
\node [anchor=west,inner sep=2pt,fill=red!20] (rpart3) at (rpart2.east) {};
\node [anchor=west] (v) at ([xshift=5.5em]u.east) {$v$:};
\node [anchor=west,inner sep=2pt,fill=red!20] (vpart2) at (v.east) {};
\node [anchor=west] (vpart3) at (vpart2.east) {NN};
\node [anchor=west] (arrow) at ([xshift=3em]u.east) {$\Rightarrow$};
\draw [<-,dotted,thick] ([xshift=0.6em]arule.south west) ..controls +(south:0.7) and +(north:0.7).. ([xshift=-1.0em]upart2.north east);
\draw [<-,dotted,thick] ([xshift=-0.6em]arule.south east) ..controls +(south:0.7) and +(north:0.7).. ([xshift=1.0em]v.north west);
\draw [<-,dotted,thick] ([xshift=-0.4em,yshift=-0.5em]arule.north) ..controls +(180:0.7) and +(50:0.7) .. ([xshift=1em]rpart2.north west);
\draw [->,dotted,thick,ublue] (r.south) ..controls +(south:0.5) and +(north:0.5).. ([yshift=0]u.north);
\end{scope}
\end{tikzpicture}
%---------------------------------------------------------------------
\end{CJK}
\end{document}
This source diff could not be displayed because it is too large. You can view the blob instead.
This source diff could not be displayed because it is too large. You can view the blob instead.
%%% outline
%-------------------------------------------------------------------------
\begin{tikzpicture}
\node [anchor=west,inner sep=2pt,fill=red!20,minimum height=3em] (eq1) at (0,0) {$f(s_u|t_v)$};
\node [anchor=west,inner sep=2pt] (eq2) at ([xshift=-2pt]eq1.east) {$=$};
\node [anchor=west,inner sep=2pt] (eq3) at ([xshift=-2pt]eq2.east) {$\lambda_{t_v}^{-1}$};
\node [anchor=west,inner sep=2pt] (eq4) at ([xshift=-2pt]eq3.east) {$\frac{\epsilon}{(l+1)^{m}}$};
\node [anchor=west,inner sep=2pt,fill=red!20,minimum height=3em] (eq5) at ([xshift=-2pt]eq4.east) {\footnotesize{$\prod\limits_{j=1}^{m} \sum\limits_{i=0}^{l} f(s_j|t_i)$}};
\node [anchor=west,inner sep=2pt] (eq6) at ([xshift=-2pt]eq5.east) {\footnotesize{$\sum\limits_{j=1}^{m} \delta(s_j,s_u) \sum\limits_{i=0}^{l} \delta(t_i,t_v)$}};
\node [anchor=west,inner sep=2pt,fill=red!20,minimum height=3em] (eq7) at ([xshift=-2pt,yshift=-0pt]eq6.east) {$\frac{f(s_u|t_v)}{\sum_{i=0}^{l}f(s_u|t_i)}$};
\node [anchor=south west,inner sep=2pt] (label1) at ([yshift=1em]eq1.north west) {\footnotesize{\textbf{新的参数值}}};
\node [anchor=south east,inner sep=2pt] (label2) at ([yshift=1em,xshift=-5em]eq7.north east) {\footnotesize{\textbf{旧的参数值}}};
\draw [<-,thick] (label1.south) .. controls +(south:1em) and +(north:1em) .. ([xshift=-1em]eq1.north);
\draw [<-,thick] (label2.south) .. controls +(300:1em) and +(north:1em) .. ([xshift=1em]eq7.north);
\draw [<-,thick] ([xshift=-0.5em]label2.south) .. controls +(240:1em) and +(north:1em) .. ([xshift=1em]eq5.north);
\end{tikzpicture}
%---------------------------------------------------------------------
%%% outline
%-------------------------------------------------------------------------
\begin{tikzpicture}
\node [anchor=west,inner sep=2pt,minimum height=2em] (eq1) at (0,0) {$f(s_u|t_v)$};
\node [anchor=west,inner sep=2pt] (eq2) at ([xshift=-2pt]eq1.east) {$=$};
\node [anchor=west,inner sep=2pt,minimum height=2em] (eq3) at ([xshift=-2pt]eq2.east) {$\lambda_{t_v}^{-1}$};
\node [anchor=west,inner sep=2pt,minimum height=3.0em] (eq4) at ([xshift=-3pt]eq3.east) {\footnotesize{$\frac{\epsilon}{(l+1)^{m}} \prod\limits_{j=1}^{m} \sum\limits_{i=0}^{l} f(s_j|t_i)$}};
\node [anchor=west,inner sep=2pt,minimum height=3.0em] (eq5) at ([xshift=1pt]eq4.east) {\footnotesize{$\sum\limits_{j=1}^{m} \delta(s_j,s_u) \sum\limits_{i=0}^{l} \delta(t_i,t_v)$}};
\node [anchor=west,inner sep=2pt,minimum height=3.0em] (eq6) at ([xshift=1pt]eq5.east) {$\frac{f(s_u|t_v)}{\sum_{i=0}^{l}f(s_u|t_i)}$};
{
\node [anchor=west,inner sep=2pt,fill=red!20,minimum height=3.0em] (eq4) at ([xshift=-3pt]eq3.east) {\footnotesize{$\frac{\epsilon}{(l+1)^{m}} \prod\limits_{j=1}^{m} \sum\limits_{i=0}^{l} f(s_j|t_i)$}};
}
{
\node [anchor=west,inner sep=2pt,fill=blue!20,minimum height=3.0em] (eq5) at ([xshift=1pt]eq4.east) {\footnotesize{$\sum\limits_{j=1}^{m} \delta(s_j,s_u) \sum\limits_{i=0}^{l} \delta(t_i,t_v)$}};
}
{
\node [anchor=west,inner sep=2pt,fill=green!20,minimum height=3.0em] (eq6) at ([xshift=1pt]eq5.east) {$\frac{f(s_u|t_v)}{\sum_{i=0}^{l}f(s_u|t_i)}$};
}
{
\node [anchor=south west,inner sep=2pt] (label1) at (eq4.north west) {\textbf{\scriptsize{翻译概率$\textrm{P}(s|t)$}}};
}
{
\node [anchor=south west,inner sep=2pt] (label2) at (eq5.north west) {\textbf{\scriptsize{配对的总次数}}};
\node [anchor=south west,inner sep=2pt] (label2part2) at ([yshift=-3pt]label2.north west) {\textbf{\scriptsize{$(s_u,t_v)$在句对$(s,t)$}}};
}
{
\node [anchor=south west,inner sep=2pt] (label3) at (eq6.north west) {\textbf{\scriptsize{有的$t_i$的相对值}}};
\node [anchor=south west,inner sep=2pt] (label4) at ([yshift=-3pt]label3.north west) {\textbf{\scriptsize{$f(s_u|t_v)$对于所}}};
}
{
\node [anchor=east,rotate=90] (neweq1) at ([yshift=-0em]eq4.south) {=};
\node [anchor=north,inner sep=1pt] (neweq1full) at (neweq1.west) {\large{$\textrm{P}(s|t)$}};
}
{
\draw[decorate,thick,decoration={brace,amplitude=5pt,mirror}] ([yshift=-0.2em]eq5.south west) -- ([yshift=-0.2em]eq6.south east) node [pos=0.4,below,xshift=-0.0em,yshift=-0.3em] (expcount1) {\footnotesize{\textbf{'$t_v$翻译为$s_u$'这个事件}}};
\node [anchor=north west] (expcount2) at ([yshift=0.5em]expcount1.south west) {\footnotesize{\textbf{出现次数的期望的估计}}};
\node [anchor=north west] (expcount3) at ([yshift=0.5em]expcount2.south west) {\footnotesize{\textbf{称之为期望频次expected count}}};
}
\end{tikzpicture}
%%% outline
%-------------------------------------------------------------------------
\begin{tikzpicture}
\node [anchor=west,inner sep=2pt] (eq1) at (0,0) {$f(s_u|t_v)$};
\node [anchor=west] (eq2) at (eq1.east) {$=$\ };
\draw [-] ([xshift=0.3em]eq2.east) -- ([xshift=11.6em]eq2.east);
\node [anchor=south west] (eq3) at ([xshift=1em]eq2.east) {$\sum_{i=1}^{N} c_{\mathbb{E}}(s_u|t_v;s^{[i]},t^{[i]})$};
\node [anchor=north west] (eq4) at (eq2.east) {$\sum_{s_u} \sum_{i=1}^{N} c_{\mathbb{E}}(s_u|t_v;s^{[i]},t^{[i]})$};
{
\node [anchor=south] (label1) at ([yshift=-6em,xshift=3em]eq1.north west) {利用这个公式计算};
\node [anchor=north west] (label1part2) at ([yshift=0.3em]label1.south west) {新的$f(s_u|t_v)$};
}
{
\node [anchor=west] (label2) at ([xshift=5em]label1.east) {用当前的$f(s_u|t_v)$};
\node [anchor=north west] (label2part2) at ([yshift=0.3em]label2.south west) {计算期望频次$c_{\mathbb{E}}(\cdot)$};
}
{
\node [anchor=west,fill=red!20,inner sep=2pt] (eq1) at (0,0) {$f(s_u|t_v)$};
}
\begin{pgfonlayer}{background}
{
\node[rectangle,fill=blue!20,inner sep=0] [fit = (eq3) (eq4)] (c) {};
}
{
\node[rectangle,draw,red,inner sep=0] [fit = (label1) (label1part2)] (flabel) {};
}
{
\node[rectangle,draw,ublue,inner sep=0] [fit = (label2) (label2part2)] (clabel) {};
}
\end{pgfonlayer}
{
\draw [->,thick] (eq1.south) ..controls +(south:1.5em) and +(north:1.5em).. (flabel.north);
}
{
\draw [->,thick] (c.south) ..controls +(south:1.0em) and +(north:1.0em).. (clabel.north);
}
{
\draw [->,thick] ([yshift=1em]flabel.east) -- ([yshift=1em]clabel.west);
\draw [<-,thick] ([yshift=-1em]flabel.east) -- ([yshift=-1em]clabel.west) node [pos=0.5,above,yshift=0.3em] {\footnotesize{\textbf{反复执行}}};
}
\end{tikzpicture}
\definecolor{ublue}{rgb}{0.152,0.250,0.545}
\definecolor{ugreen}{rgb}{0,0.5,0}
%%% outline
%-------------------------------------------------------------------------
\begin{tikzpicture}
\node [anchor=north west] (line1) at (0,0) {\textbf{IBM模型1的训练(EM算法)}};
\node [anchor=north west] (line2) at ([yshift=-0.3em]line1.south west) {输入: 平行语料${(s^{[1]},t^{[1]}),...,(s^{[N]},t^{[N]})}$};
\node [anchor=north west] (line3) at ([yshift=-0.1em]line2.south west) {输出: 参数$f(\cdot|\cdot)$的最优值};
\node [anchor=north west] (line4) at ([yshift=-0.1em]line3.south west) {1: \textbf{Function} \textsc{TrainItWithEM}($\{(s^{[1]},t^{[1]}),...,(s^{[N]},t^{[N]})\}$) };
\node [anchor=north west] (line5) at ([yshift=-0.1em]line4.south west) {2: \ \ Initialize $f(\cdot|\cdot)$ \hspace{5em} $\rhd$ 比如给$f(\cdot|\cdot)$一个均匀分布};
\node [anchor=north west] (line6) at ([yshift=-0.1em]line5.south west) {3: \ \ Loop until $f(\cdot|\cdot)$ converges};
\node [anchor=north west] (line7) at ([yshift=-0.1em]line6.south west) {4: \ \ \ \ \textbf{foreach} $k = 1$ to $N$ \textbf{do}};
\node [anchor=north west] (line8) at ([yshift=-0.1em]line7.south west) {5: \ \ \ \ \ \ \ \footnotesize{$c_{\mathbb{E}}(s_u|t_v;s^{[k]},t^{[k]}) = \sum\limits_{j=1}^{|s^{[k]}|} \delta(s_j,s_u) \sum\limits_{i=0}^{|t^{[k]}|} \delta(t_i,t_v) \cdot \frac{f(s_u|t_v)}{\sum_{i=0}^{l}f(s_u|t_i)}$}\normalsize{}};
\node [anchor=north west] (line9) at ([yshift=-0.1em]line8.south west) {6: \ \ \ \ \textbf{foreach} $t_v$ appears at least one of $\{t^{[1]},...,t^{[N]}\}$ \textbf{do}};
\node [anchor=north west] (line10) at ([yshift=-0.1em]line9.south west) {7: \ \ \ \ \ \ \ $\lambda_{t_v}^{'} = \sum_{s_u} \sum_{k=1}^{N} c_{\mathbb{E}}(s_u|t_v;s^{[k]},t^{[k]})$};
\node [anchor=north west] (line11) at ([yshift=-0.1em]line10.south west) {8: \ \ \ \ \ \ \ \textbf{foreach} $s_u$ appears at least one of $\{s^{[1]},...,s^{[N]}\}$ \textbf{do}};
\node [anchor=north west] (line12) at ([yshift=-0.1em]line11.south west) {9: \ \ \ \ \ \ \ \ \ $f(s_u|t_v) = \sum_{k=1}^{N} c_{\mathbb{E}}(s_u|t_v;s^{[k]},t^{[k]}) \cdot (\lambda_{t_v}^{'})^{-1}$};
\node [anchor=north west] (line13) at ([yshift=-0.1em]line12.south west) {10: \ \textbf{return} $f(\cdot|\cdot)$};
\begin{pgfonlayer}{background}
{
\node[rectangle,draw=ublue, inner sep=0mm] [fit =(line1)(line2)(line3)(line4)(line5)(line6)(line7)(line11)(line8)(line9)(line13)] {};
}
\end{pgfonlayer}
\end{tikzpicture}
%%% outline
%-------------------------------------------------------------------------
\begin{tikzpicture}
\definecolor{ugreen}{rgb}{0,0.5,0}
\definecolor{ublue}{rgb}{0.152,0.250,0.545}
\node [anchor=west,draw,thick,minimum width=18.8em,minimum height=1.2em] (sent) at (0,0) {};
\node [anchor=west,draw,thick,circle,minimum size=1.6em,red] (s1) at ([xshift=0.0em,yshift=-2em]sent.south west) {};
\node [anchor=west,draw,thick,circle,minimum size=1.6em,ugreen] (s2) at ([xshift=2.7em]s1.east) {};
\node [anchor=west,draw,thick,circle,minimum size=1.6em,orange] (s3) at ([xshift=2.7em]s2.east) {};
\node [anchor=west,draw,thick,circle,minimum size=1.6em,ublue] (s4) at ([xshift=2.7em]s3.east) {};
\node [anchor=west,draw,thick,circle,minimum size=1.6em,purple] (s5) at ([xshift=2.7em]s4.east) {};
{
\node [anchor=west,draw,thick,circle,minimum size=1.6em,red,fill=red] (t1) at ([yshift=-3.5em]s1.west) {};
\node [anchor=west,draw,thick,circle,minimum size=1.6em,ugreen,fill=ugreen] (t2) at ([xshift=2.7em]t1.east) {};
\node [anchor=west,draw,thick,circle,minimum size=1.6em,orange,fill=orange] (t3) at ([xshift=2.7em]t2.east) {};
\node [anchor=west,draw,thick,circle,minimum size=1.6em,ublue,fill=ublue] (t4) at ([xshift=2.7em]t3.east) {};
\node [anchor=west,draw,thick,circle,minimum size=1.6em,purple,fill=purple] (t5) at ([xshift=2.7em]t4.east) {};
}
{
\node [anchor=west,draw,thick,circle,minimum size=1.6em,red,fill=red] (ft1) at ([yshift=-3.5em]t1.west) {};
\node [anchor=west,draw,thick,circle,minimum size=1.6em,ublue,fill=ublue] (ft2) at ([xshift=2.7em]ft1.east) {};
\node [anchor=west,draw,thick,circle,minimum size=1.6em,purple,fill=purple] (ft3) at ([xshift=2.7em]ft2.east) {};
\node [anchor=west,draw,thick,circle,minimum size=1.6em,ugreen,fill=ugreen] (ft4) at ([xshift=2.7em]ft3.east) {};
\node [anchor=west,draw,thick,circle,minimum size=1.6em,orange,fill=orange] (ft5) at ([xshift=2.7em]ft4.east) {};
}
\draw [->,thick,double] ([yshift=-0.1em]sent.south) -- ([yshift=-.8em]sent.south);
{
\draw [->,thick] ([yshift=-0.1em]s1.south) -- ([yshift=0.1em]t1.north);
\draw [->,thick] ([yshift=-0.1em]s2.south) -- ([yshift=0.1em]t2.north);
\draw [->,thick] ([yshift=-0.1em]s3.south) -- ([yshift=0.1em]t3.north);
\draw [->,thick] ([yshift=-0.1em]s4.south) -- ([yshift=0.1em]t4.north);
\draw [->,thick] ([yshift=-0.1em]s5.south) -- ([yshift=0.1em]t5.north);
}
{
\draw [->,thick] ([yshift=-0.1em]t1.south) -- ([yshift=0.1em]ft1.north);
\draw [->,thick] ([yshift=-0.1em]t2.south) -- ([yshift=0.1em]ft4.north);
\draw [->,thick] ([yshift=-0.1em]t3.south) -- ([yshift=0.1em]ft5.north);
\draw [->,thick] ([yshift=-0.1em]t4.south) -- ([yshift=0.1em]ft2.north);
\draw [->,thick] ([yshift=-0.1em]t5.south) -- ([yshift=0.1em]ft3.north);
}
{
\node [anchor=north west] (label1) at ([xshift=1.5em,yshift=0.5em]s5.east) {\textbf{分析}};
\node [anchor=north west] (label2) at ([xshift=1.5em,yshift=0.5em]t5.east) {\textbf{转换}};
\node [anchor=north west] (label3) at ([xshift=1.5em,yshift=0.5em]ft5.east) {\textbf{生成}};
}
\end{tikzpicture}
%---------------------------------------------------------------------
\begin{center}
%%% outline
%-------------------------------------------------------------------------
{\footnotesize
\definecolor{ublue}{rgb}{0.152,0.250,0.545}
\begin{tikzpicture}
\begin{scope}
\node [anchor=west, font=\normalsize] (s1) at (0,0) {};
\node [anchor=west, font=\normalsize] (s2) at ([xshift=3em]s1.east) {};
\node [anchor=west, font=\normalsize] (s3) at ([xshift=5.6em]s2.east) {};
\node [anchor=west, font=\normalsize] (s4) at ([xshift=5.1em]s3.east) {感到};
\node [anchor=west, font=\normalsize] (s5) at ([xshift=3.1em]s4.east) {满意};
\end{scope}
\begin{scope}[yshift=-7em]
\node [anchor=west, font=\normalsize] (t1) at (0.4em,0) {I};
\node [anchor=west, font=\normalsize] (t2) at ([xshift=3.5em,yshift=-0.1em]t1.east) {am};
\node [anchor=west, font=\normalsize] (t3) at ([xshift=3.5em,yshift=0.1em]t2.east) {satisfied};
\node [anchor=west, font=\normalsize] (t4) at ([xshift=3.5em]t3.east) {with};
\node [anchor=west, font=\normalsize] (t5) at ([xshift=3.5em,yshift=-0.2em]t4.east) {you};
\end{scope}
{
\draw [-,very thick,ublue,dashed] (s1.south) -- (t1.north);
\draw [-,very thick,ublue,dashed] (s4.south) -- ([yshift=0.3em]t2.north);
\draw [-,very thick,ublue,dashed] (s2.south) ..controls +(south:1em) and +(north:1em).. (t4.north);
\draw [-,very thick,ublue,dashed] (s3.south) ..controls +(south:0.5em) and +(north:1.5em).. (t5.north);
\draw [-,very thick,ublue,dashed] (s5.south) -- (t3.north);
}
\end{tikzpicture}
}
%---------------------------------------------------------------------
\end{center}
%%% outline
%-------------------------------------------------------------------------
\begin{tikzpicture}
\begin{scope}
{
\node [pos=0.5,left,xshift=-0.5em,yshift=2.0em] (label2) {\footnotesize{{$t^1$ =$<$s$>$ {\color{red}machine}\; {\color{red}translation}\; is\; just\; translation\; by\; computer\; $<$/s$>$ }}};
\node [anchor=north west] (label2part2) at ([yshift=0.3em]label2.south west) {\footnotesize{{$t^2$ =$<$s$>$ how\; does\;this\; {\color{red}machine}\;work\; $?$ $<$/s$>$ }}};
\node [anchor=north west] (label2part3) at ([yshift=0.3em]label2part2.south west) {\footnotesize{{$t^3$ =$<$s$>$ we\; are\;replaced\;the\; old\; adding\; {\color{red}machine}\;with\;a\; computer\; $<$/s$>$ }}};
\node [anchor=north west] (label2part4) at ([yshift=0.3em]label2part3.south west) {\footnotesize{{$t^4$ =$<$s$>$ several\; approaches\; to\;{\color{red}machine}\;learning\; are\; used\; to\; solve\; problems\; $?$\; $<$/s$>$ }}};
}
\end{scope}
\end{tikzpicture}
%---------------------------------------------------------------------
%%% outline
%-------------------------------------------------------------------------
\begin{tikzpicture}
\definecolor{ugreen}{rgb}{0,0.5,0}
\definecolor{ublue}{rgb}{0.152,0.250,0.545}
\node [anchor=west,inner sep=2pt,fill=red!20,thick,minimum width=3.6em,minimum height=0.8em] (s1) at (0,0) {$\phi$};
{%第一列
\node [anchor=north west] (label1) at ([xshift=2.5em,yshift=6.3em]s1.east) {{\scriptsize \textbf{第1步}}};
\node [anchor=west,inner sep=2pt,fill=green!20,thick,minimum width=3.6em,minimum height=0.8em] (s21) at ([xshift=2.0em,yshift=3.5em]s1.east) {$w_1^1$};
\node [anchor=west,inner sep=2pt,fill=green!20,thick,minimum width=3.6em,minimum height=0.8em] (s22) at ([xshift=2.0em,yshift=0.0em]s1.east) {$w_2^1$};
\node [anchor=west] (s23) at ([xshift=3.3em,yshift=-3.2em]s1.east) {$\vdots$};
\node [anchor=west,inner sep=2pt,fill=green!20,thick,minimum width=3.6em,minimum height=0.8em] (s24) at ([xshift=2.0em,yshift=-7.0em]s1.east) {\scriptsize{$w_{m \bullet n}^1$}};
}
{
\draw [->,thick] ([yshift=0.0em]s1.east) -- ([yshift=0.0em]s21.west);
\draw [->,thick] ([yshift=0.0em]s1.east) -- ([yshift=0.0em]s22.west);
\draw [->,thick] ([yshift=0.0em]s1.east) -- ([xshift=-1.3em,yshift=-0.2em]s23.west);
\draw [->,thick] ([yshift=0.0em]s1.east) -- ([yshift=0.0em]s24.west);
}
{%第二列
\node [anchor=north west] (label2) at ([xshift=9.3em,yshift=6.3em]s1.east) {{\scriptsize \textbf{第2步}}};
\node [anchor=west,inner sep=2pt,fill=blue!20,thick,minimum width=3.6em,minimum height=0.8em] (s31) at ([xshift=8.8em,yshift=3.5em]s1.east) {$w_1^2$};
\node [anchor=west,inner sep=2pt,fill=blue!20,thick,minimum width=3.6em,minimum height=0.8em] (s32) at ([xshift=8.8em,yshift=0.0em]s1.east) {$w_2^2$};
\node [anchor=west] (s33) at ([xshift=10.1em,yshift=-3.2em]s1.east) {$\vdots$};
\node [anchor=west,inner sep=2pt,fill=blue!20,thick,minimum width=3.6em,minimum height=0.8em] (s34) at ([xshift=8.8em,yshift=-7.0em]s1.east) {\tiny{$w_{(m-1) \bullet n}^2$}};
}
{
\draw [->,thick] ([yshift=0.0em]s21.east) -- ([yshift=0.0em]s31.west);
\draw [->,thick] ([yshift=0.0em]s21.east) -- ([yshift=0.0em]s32.west);
\draw [->,thick] ([yshift=0.0em]s21.east) -- ([xshift=-1.3em,yshift=-0.2em]s33.west);
\draw [->,thick] ([yshift=0.0em]s21.east) -- ([yshift=0.0em]s34.west);
\draw [->,thick] ([yshift=0.0em]s22.east) -- ([yshift=0.0em]s31.west);
\draw [->,thick] ([yshift=0.0em]s22.east) -- ([yshift=0.0em]s32.west);
\draw [->,thick] ([yshift=0.0em]s22.east) -- ([xshift=-1.3em,yshift=-0.2em]s33.west);
\draw [->,thick] ([yshift=0.0em]s22.east) -- ([yshift=0.0em]s34.west);
\draw [->,thick] ([xshift=1.3em,yshift=-0.3em]s23.east) -- ([yshift=0.0em]s31.west);
\draw [->,thick] ([xshift=1.3em,yshift=-0.3em]s23.east) -- ([yshift=0.0em]s32.west);
\draw [->,thick] ([xshift=1.3em,yshift=-0.3em]s23.east) -- ([xshift=-1.3em,yshift=-0.3em]s33.west);
\draw [->,thick] ([xshift=1.3em,yshift=-0.3em]s23.east) -- ([yshift=0.0em]s34.west);
\draw [->,thick] ([yshift=0.0em]s24.east) -- ([yshift=0.0em]s31.west);
\draw [->,thick] ([yshift=0.0em]s24.east) -- ([yshift=0.0em]s32.west);
\draw [->,thick] ([yshift=0.0em]s24.east) -- ([xshift=-1.3em,yshift=-0.2em]s33.west);
\draw [->,thick] ([yshift=0.0em]s24.east) -- ([yshift=0.0em]s34.west);
}
{%第三列
\node [anchor=west] (s41) at ([xshift=15.6em,yshift=3.5em]s1.east) {$\cdots$};
\node [anchor=west] (s42) at ([xshift=15.6em,yshift=0.0em]s1.east) {$\cdots$};
\node [anchor=west] (s43) at ([xshift=15.6em,yshift=-3.5em]s1.east) {$\cdots$};
\node [anchor=west] (s44) at ([xshift=15.6em,yshift=-7.0em]s1.east) {$\cdots$};
\draw [->,thick] ([yshift=0.0em]s31.east) -- ([yshift=0.0em]s41.west);
\draw [->,thick] ([yshift=0.0em]s31.east) -- ([yshift=0.0em]s42.west);
\draw [->,thick] ([yshift=0.0em]s31.east) -- ([yshift=0.0em]s43.west);
\draw [->,thick] ([yshift=0.0em]s31.east) -- ([yshift=0.0em]s44.west);
\draw [->,thick] ([yshift=0.0em]s32.east) -- ([yshift=0.0em]s41.west);
\draw [->,thick] ([yshift=0.0em]s32.east) -- ([yshift=0.0em]s42.west);
\draw [->,thick] ([yshift=0.0em]s32.east) -- ([yshift=0.0em]s43.west);
\draw [->,thick] ([yshift=0.0em]s32.east) -- ([yshift=0.0em]s44.west);
\draw [->,thick] ([xshift=1.3em,yshift=-0.3em]s33.east) -- ([yshift=0.0em]s41.west);
\draw [->,thick] ([xshift=1.3em,yshift=-0.3em]s33.east) -- ([yshift=0.0em]s42.west);
\draw [->,thick] ([xshift=1.3em,yshift=-0.3em]s33.east) -- ([yshift=0.0em]s43.west);
\draw [->,thick] ([xshift=1.3em,yshift=-0.3em]s33.east) -- ([yshift=0.0em]s44.west);
\draw [->,thick] ([yshift=0.0em]s34.east) -- ([yshift=0.0em]s41.west);
\draw [->,thick] ([yshift=0.0em]s34.east) -- ([yshift=0.0em]s42.west);
\draw [->,thick] ([yshift=0.0em]s34.east) -- ([yshift=0.0em]s43.west);
\draw [->,thick] ([yshift=0.0em]s34.east) -- ([yshift=0.0em]s44.west);
}
{%第四列
\node [anchor=north west] (label3) at ([xshift=19.4em,yshift=6.3em]s1.east) {{\scriptsize \textbf{第m步}}};
\node [anchor=west,inner sep=2pt,fill=orange!20,thick,minimum width=3.6em,minimum height=0.8em] (s51) at ([xshift=19.0em,yshift=3.5em]s1.east) {$w_1^m$};
\node [anchor=west,inner sep=2pt,fill=orange!20,thick,minimum width=3.6em,minimum height=0.8em] (s52) at ([xshift=19.0em,yshift=0.0em]s1.east) {$w_2^m$};
\node [anchor=west,inner sep=2pt,fill=orange!20,thick,minimum width=3.6em,minimum height=0.8em] (s53) at ([xshift=19.0em,yshift=-3.5em]s1.east) {$w_{?}^{m}$};
\node [anchor=west,inner sep=2pt,fill=orange!20,thick,minimum width=3.6em,minimum height=0.8em] (s54) at ([xshift=19.0em,yshift=-7.0em]s1.east) {\scriptsize{$w_{1 \bullet n}^m$}};
\draw [->,thick] ([yshift=0.0em]s41.east) -- ([yshift=0.0em]s51.west);
\draw [->,thick] ([yshift=0.0em]s42.east) -- ([yshift=0.0em]s52.west);
\draw [->,thick] ([yshift=0.0em]s43.east) -- ([yshift=0.0em]s53.west);
\draw [->,thick] ([yshift=0.0em]s44.east) -- ([yshift=0.0em]s54.west);
}
\end{tikzpicture}
%---------------------------------------------------------------------
%%% outline
%-------------------------------------------------------------------------
\begin{tikzpicture}
\definecolor{ugreen}{rgb}{0,0.5,0}
\definecolor{ublue}{rgb}{0.152,0.250,0.545}
\node [anchor=west,inner sep=2pt,fill=red!20,thick,minimum width=3.6em,minimum height=0.8em] (s1) at (0,0) {$\phi$};
{%第一列
\node [anchor=north west] (label1) at ([xshift=2.5em,yshift=6.3em]s1.east) {{\scriptsize \textbf{第1步}}};
\node [anchor=west,inner sep=2pt,fill=green!20,thick,minimum width=3.6em,minimum height=0.8em] (s21) at ([xshift=2.0em,yshift=3.5em]s1.east) {$w_1^1$};
\node [anchor=west,inner sep=2pt,fill=green!20,thick,minimum width=3.6em,minimum height=0.8em] (s22) at ([xshift=2.0em,yshift=0.0em]s1.east) {$w_2^1$};
\node [anchor=west] (s23) at ([xshift=3.3em,yshift=-3.2em]s1.east) {$\vdots$};
\node [anchor=west,inner sep=2pt,fill=green!20,thick,minimum width=3.6em,minimum height=0.8em] (s24) at ([xshift=2.0em,yshift=-7.0em]s1.east) {\scriptsize{$w_{m \bullet n}^1$}};
}
{
\draw [->,thick,red] ([yshift=0.0em]s1.east) -- ([yshift=0.0em]s21.west);
\draw [->,thick,densely dashed] ([yshift=0.0em]s1.east) -- ([yshift=0.0em]s22.west);
\draw [->,thick,densely dashed] ([yshift=0.0em]s1.east) -- ([xshift=-1.3em,yshift=-0.2em]s23.west);
\draw [->,thick,densely dashed] ([yshift=0.0em]s1.east) -- ([yshift=0.0em]s24.west);
}
{%第二列
\node [anchor=north west] (label2) at ([xshift=9.3em,yshift=6.3em]s1.east) {{\scriptsize \textbf{第2步}}};
\node [anchor=west,inner sep=2pt,fill=blue!20,thick,minimum width=3.6em,minimum height=0.8em] (s31) at ([xshift=8.8em,yshift=3.5em]s1.east) {$w_1^2$};
\node [anchor=west,inner sep=2pt,fill=blue!20,thick,minimum width=3.6em,minimum height=0.8em] (s32) at ([xshift=8.8em,yshift=0.0em]s1.east) {$w_2^2$};
\node [anchor=west] (s33) at ([xshift=10.1em,yshift=-3.2em]s1.east) {$\vdots$};
\node [anchor=west,inner sep=2pt,fill=blue!20,thick,minimum width=3.6em,minimum height=0.8em] (s34) at ([xshift=8.8em,yshift=-7.0em]s1.east) {\tiny{$w_{(m-1) \bullet n}^2$}};
}
{
\draw [->,thick,densely dashed] ([yshift=0.0em]s21.east) -- ([yshift=0.0em]s31.west);
\draw [->,thick,densely dashed] ([yshift=0.0em]s21.east) -- ([yshift=0.0em]s32.west);
\draw [->,thick,red] ([yshift=0.0em]s21.east) -- ([xshift=-1.3em,yshift=-0.2em]s33.west);
\draw [->,thick,densely dashed] ([yshift=0.0em]s21.east) -- ([yshift=0.0em]s34.west);
}
{%第三列
\node [anchor=west] (s41) at ([xshift=15.6em,yshift=3.5em]s1.east) {$\cdots$};
\node [anchor=west] (s42) at ([xshift=15.6em,yshift=0.0em]s1.east) {$\cdots$};
\node [anchor=west] (s43) at ([xshift=15.6em,yshift=-3.5em]s1.east) {$\cdots$};
\node [anchor=west] (s44) at ([xshift=15.6em,yshift=-7.0em]s1.east) {$\cdots$};
\draw [->,thick,densely dashed] ([xshift=1.3em,yshift=-0.3em]s33.east) -- ([yshift=0.0em]s41.west);
\draw [->,thick,red] ([xshift=1.3em,yshift=-0.3em]s33.east) -- ([yshift=0.0em]s42.west);
\draw [->,thick,densely dashed] ([xshift=1.3em,yshift=-0.3em]s33.east) -- ([yshift=0.0em]s43.west);
\draw [->,thick,densely dashed] ([xshift=1.3em,yshift=-0.3em]s33.east) -- ([yshift=0.0em]s44.west);
}
{%第四列
\node [anchor=north west] (label3) at ([xshift=19.4em,yshift=6.3em]s1.east) {{\scriptsize \textbf{第m步}}};
\node [anchor=west,inner sep=2pt,fill=orange!20,thick,minimum width=3.6em,minimum height=0.8em] (s51) at ([xshift=19.0em,yshift=3.5em]s1.east) {$w_1^m$};
\node [anchor=west,inner sep=2pt,fill=orange!20,thick,minimum width=3.6em,minimum height=0.8em] (s52) at ([xshift=19.0em,yshift=0.0em]s1.east) {$w_2^m$};
\node [anchor=west,inner sep=2pt,fill=orange!20,thick,minimum width=3.6em,minimum height=0.8em] (s53) at ([xshift=19.0em,yshift=-3.5em]s1.east) {$w_{?}^{m}$};
\node [anchor=west,inner sep=2pt,fill=orange!20,thick,minimum width=3.6em,minimum height=0.8em] (s54) at ([xshift=19.0em,yshift=-7.0em]s1.east) {\scriptsize{$w_{1 \bullet n}^m$}};
\draw [->,thick,densely dashed] ([yshift=0.0em]s41.east) -- ([yshift=0.0em]s51.west);
\draw [->,thick,densely dashed] ([yshift=0.0em]s42.east) -- ([yshift=0.0em]s52.west);
\draw [->,thick,red] ([yshift=0.0em]s43.east) -- ([yshift=0.0em]s53.west);
\draw [->,thick,densely dashed] ([yshift=0.0em]s44.east) -- ([yshift=0.0em]s54.west);
}
\end{tikzpicture}
%---------------------------------------------------------------------
\begin{tikzpicture}
{
\node [anchor=north west,inner sep=2pt,align=left] (line1) at (0,0) {\textrm{\textbf{Function} \textsc{WordDecoding}($s$)}};
\node [anchor=north west,inner sep=2pt,align=left] (line2) at ([yshift=-1pt]line1.south west) {\textrm{1: $\pi = $\textsc{GetTransOptions}($s$)}};
\node [anchor=north west,inner sep=2pt,align=left] (line3) at ([yshift=-1pt]line2.south west) {\textrm{2: $best = \phi$}};
\node [anchor=north west,inner sep=2pt,align=left] (line4) at ([yshift=-1pt]line3.south west) {\textrm{3: \textbf{for} $i$ in $[1,m]$ \textbf{do}}};
\node [anchor=north west,inner sep=2pt,align=left] (line5) at ([yshift=-1pt]line4.south west) {\textrm{4: \hspace{1em} $h = \phi$}};
\node [anchor=north west,inner sep=2pt,align=left] (line6) at ([yshift=-1pt]line5.south west) {\textrm{5: \hspace{1em} \textbf{foreach} $j$ in $[1,m]$ \textbf{do}}};
\node [anchor=north west,inner sep=2pt,align=left] (line7) at ([yshift=-1pt]line6.south west) {\textrm{6: \hspace{2em} \textbf{if} $used[j]=$ \textbf{true} \textbf{then}}};
\node [anchor=north west,inner sep=2pt,align=left] (line8) at ([yshift=-1pt]line7.south west) {\textrm{7: \hspace{3em} $h = h \cup \textrm{\textsc{Join}}(best,\pi[j])$}};
\node [anchor=north west,inner sep=2pt,align=left] (line9) at ([yshift=-1pt]line8.south west) {\textrm{8: \hspace{1em} $best = \textrm{\textsc{PruneForTop1}}(h)$}};
\node [anchor=north west,inner sep=2pt,align=left] (line10) at ([yshift=-1pt]line9.south west) {\textrm{9: \hspace{1em} $used[best.j] = \textrm{\textsc{\textbf{true}}}$}};
\node [anchor=north west,inner sep=2pt,align=left] (line11) at ([yshift=-1pt]line10.south west) {\textrm{10: \textbf{return} $best.translatoin$}};
\node [anchor=south west,inner sep=2pt,align=left] (head1) at ([yshift=1pt]line1.north west) {输出: 找的最佳译文};
\node [anchor=south west,inner sep=2pt,align=left] (head2) at ([yshift=1pt]head1.north west) {输入: 源语句子$s=s_1...s_m$};
}
\begin{pgfonlayer}{background}
\node[rectangle,draw=ublue,thick,inner sep=0.2em,fill=white,drop shadow,minimum height=1.6cm] [fit = (head2) (line8) (line11)] (algorithm) {};
%% highlights
%\begin{pgfonlayer}{background}
{
\node[anchor=west,fill=blue!20,minimum height=0.16in,minimum width=2.21in] (line2highlight) at (line2.west) {};
}
{
\node[anchor=west,fill=blue!20,minimum height=0.16in,minimum width=2.21in] (line3highlight) at (line3.west) {};
\node[anchor=west,fill=blue!20,minimum height=0.16in,minimum width=2.21in] (line5highlight) at (line5.west) {};
}
%\end{pgfonlayer}
\end{pgfonlayer}
{
%% remark 1
\begin{scope}
{
\node [anchor=north west,align=left] (remark1) at ([xshift=0.4in]algorithm.north east) {获取每个单词\\的翻译候选};
\node [anchor=west,draw,thick,circle,minimum size=0.3em,inner sep=2.1pt,red] (s1) at ([yshift=-0.7em,xshift=0.5em]remark1.north east){1};
\node [anchor=west,draw,thick,circle,minimum size=0.3em,inner sep=2.1pt,ugreen] (s2) at ([xshift=0.4em]s1.east) {2};
\node [anchor=west,draw,thick,circle,minimum size=0.3em,inner sep=2.1pt,orange] (s3) at ([xshift=0.4em]s2.east) {3};
\node [anchor=west,draw,thick,circle,minimum size=0.3em,inner sep=3.0pt,ublue] (s4) at ([xshift=0.4em]s3.east) {...};
\node [anchor=west,draw,thick,circle,minimum size=0.3em,inner sep=1.5pt,purple] (s5) at ([xshift=0.4em]s4.east) {$m$};
\node [anchor=center,draw,thick,circle,minimum size=0.3em,inner sep=2pt,red,fill=red] (t1) at ([yshift=-1.7em]s1.center) {{\color{white} $n$}};
\node [anchor=center,draw,thick,circle,minimum size=0.3em,inner sep=2pt,ugreen,fill=ugreen] (t2) at ([yshift=-1.7em]s2.center) {{\color{white} $n$}};
\node [anchor=center,draw,thick,circle,minimum size=0.3em,inner sep=2pt,orange,fill=orange] (t3) at ([yshift=-1.7em]s3.center) {{\color{white} $n$}};
\node [anchor=center,draw,thick,circle,minimum size=0.3em,inner sep=2pt,ublue,fill=ublue] (t4) at ([yshift=-1.7em]s4.center) {{\color{white} $n$}};
\node [anchor=center,draw,thick,circle,minimum size=0.3em,inner sep=2pt,purple,fill=purple] (t5) at ([yshift=-1.7em]s5.center) {{\color{white} $n$}};
\draw [->,thick] ([yshift=-0.1em]s1.south) -- ([yshift=0.1em]t1.north);
\draw [->,thick] ([yshift=-0.1em]s2.south) -- ([yshift=0.1em]t2.north);
\draw [->,thick] ([yshift=-0.1em]s3.south) -- ([yshift=0.1em]t3.north);
\draw [->,thick] ([yshift=-0.1em]s4.south) -- ([yshift=0.1em]t4.north);
\draw [->,thick] ([yshift=-0.1em]s5.south) -- ([yshift=0.1em]t5.north);
\begin{pgfonlayer}{background}
{
\node[rectangle,draw,inner sep=0.2em,fill=blue!10] [fit = (remark1) (t5)] (remark1label) {};
}
\end{pgfonlayer}
}
\end{scope}
%% end of remark 1
%% remark 2
\begin{scope}
{
\node [anchor=north west,draw,inner sep=2pt,fill=blue!10] (remark2) at ([xshift=-0.2em,yshift=-1em]remark1.south west) {$best$用于保存当前最好的翻译结果};
}
\end{scope}
%% end of remark 2
\node [anchor=north west] (remark4) at ([xshift=21.8em,yshift=-0.6em]line7.east) {};
%% remark 3
\begin{scope}
{
\node [anchor=north west,draw,inner sep=2pt,fill=blue!10] (remark3) at ([yshift=-0.5em]remark2.south west) {$h$用于保存每步生成的所有译文候选};
}
\end{scope}
%% end of remark 3
{
\draw [->,thick] (line2highlight.east) ..controls +(east:1em) and +(west:1em).. (remark1label.west);
}
{
\draw [->,thick] (line3highlight.east) ..controls +(east:1em) and +(west:1em).. ([yshift=0.3em]remark2.south west);
\draw [->,thick] (line5highlight.east) ..controls +(east:1em) and +(west:1em).. ([yshift=0.3em]remark3.south west);
}
}
\end{tikzpicture}
%%% outline
%-------------------------------------------------------------------------
\begin{tikzpicture}
\node [anchor=west] (e1) at (0,0) {$g(s,t)$};
\node [anchor=west] (e2) at (e1.east) {$=$};
\node [anchor=west,inner sep=2pt,fill=red!20] (e3) at (e2.east) {$\prod\nolimits_{(j,i) \in \hat{A}} \textrm{P}(s_j,t_i)$};
\node [anchor=west,inner sep=1pt] (e4) at (e3.east) {$\times$};
\node [anchor=west,inner sep=3pt,fill=blue!20] (e5) at (e4.east) {$\textrm{P}_{lm}(t)$};
\node [anchor=north west,inner sep=1pt] (n1) at ([xshift=2.5em,yshift=-1em]e1.south west) {$\textrm{P}(s|t)$};
\node [anchor=north] (n1part2) at ([yshift=0.3em]n1.south) {\scriptsize{\textbf{翻译模型}}};
\node [anchor=west,inner sep=1pt] (n2) at ([xshift=2em]n1.east) {$\textrm{P}(t)$};
\node [anchor=north] (n2part2) at ([yshift=0.3em]n2.south) {\scriptsize{\textbf{语言模型}}};
\draw [->,thick] (e3.south) .. controls +(south:1em) and +(north:1em) .. (n1.north);
\draw [->,thick] (e5.south) .. controls +(south:1em) and +(70:1em) .. (n2.north);
\end{tikzpicture}
%---------------------------------------------------------------------
%%% outline
%-------------------------------------------------------------------------
\begin{tikzpicture}
\node [anchor=west] (eq1) at (0,0) {$\textrm{P}(s,a|t)=$};
\node [anchor=west,inner sep=1pt,minimum height=2.64em] (eq2) at (eq1.east) {$\textrm{P}(m|t)$};
\node [anchor=west,inner sep=1pt,minimum height=2.64em] (eq3) at ([xshift=1pt]eq2.east) {$\prod\limits_{j=1}^{m}$};
\node [anchor=west,inner sep=1pt,minimum height=2.64em] (eq4) at ([xshift=1pt]eq3.east) {$\textrm{P}(a_j|a_{1}^{j-1},s_{1}^{j-1},m,t)$};
\node [anchor=west,inner sep=1pt,minimum height=2.64em] (eq5) at ([xshift=1pt]eq4.east) {$\textrm{P}(s_j|a_{1}^{j},s_{1}^{j-1},m,t)$};
{
\node [anchor=west,inner sep=1pt,minimum height=2.64em,fill=red!20] (eq2) at (eq1.east) {$\textrm{P}(m|t)$};
}
{
\node [anchor=west,inner sep=1pt,minimum height=2.64em,fill=blue!20] (eq3) at ([xshift=1pt]eq2.east) {$\prod\limits_{j=1}^{m}$};
}
{
\node [anchor=west,inner sep=1pt,minimum height=2.64em,fill=green!20] (eq4) at ([xshift=1pt]eq3.east) {$\textrm{P}(a_j|a_{1}^{j-1},s_{1}^{j-1},m,t)$};
}
{
\node [anchor=west,inner sep=1pt,minimum height=2.64em,fill=purple!20] (eq5) at ([xshift=1pt]eq4.east) {$\textrm{P}(s_j|a_{1}^{j},s_{1}^{j-1},m,t)$};
}
{
\node [anchor=north,draw,circle,inner sep=1pt,ublue] (c1) at ([yshift=-1pt]eq2.south) {\tiny{\textbf{1}}};
}
{
\node [anchor=north,draw,circle,inner sep=1pt,ublue] (c2) at ([yshift=-1pt]eq3.south) {\tiny{\textbf{2}}};
}
{
\node [anchor=north,draw,circle,inner sep=1pt,ublue] (c3) at ([yshift=-1pt]eq4.south) {\tiny{\textbf{3}}};
}
{
\node [anchor=north,draw,circle,inner sep=1pt,ublue] (c4) at ([yshift=-1pt]eq5.south) {\tiny{\textbf{4}}};
}
\end{tikzpicture}
%---------------------------------------------------------------------
%%% outline
%-------------------------------------------------------------------------
\begin{tikzpicture}
{\small
\node [anchor=west,inner sep=2pt] (s1) at (0,0) {$s_1$:在};
\node [anchor=west,inner sep=2pt] (s2) at ([xshift=1em]s1.east) {$s_2$:桌子};
\node [anchor=west,inner sep=2pt] (s3) at ([xshift=1em]s2.east) {$s_3$:上};
\node [anchor=north,inner sep=2pt] (t1) at ([yshift=-1.7em]s1.center) {$t_1$:on};
\node [anchor=north,inner sep=2pt] (t2) at ([yshift=-1.6em]s2.center) {$t_2$:the};
\node [anchor=north,inner sep=2pt] (t3) at ([yshift=-1.6em]s3.center) {$t_3$:table};
\node [anchor=east,inner sep=2pt] (t0) at ([xshift=-1.5em]t1.west) {$t_0$};
\draw [-] (s1.south) -- (t0.north);
\draw [-] (s2.south) -- (t3.north);
\draw [-] (s3.south) -- (t1.north);
}
\end{tikzpicture}
%---------------------------------------------------------------------
%%% outline
%-------------------------------------------------------------------------
\begin{tikzpicture}
{
\node [anchor=west,inner sep=2pt] (s1) at (0,0) {$s_1$:在};
\node [anchor=west,inner sep=2pt] (s2) at ([xshift=2em]s1.east) {$s_2$:桌子};
\node [anchor=west,inner sep=2pt] (s3) at ([xshift=2em]s2.east) {$s_3$:上};
\node [anchor=north,inner sep=2pt] (t1) at ([yshift=-2.4em]s1.center) {$t_1$:on};
\node [anchor=north,inner sep=2pt] (t2) at ([yshift=-2.4em]s2.center) {$t_2$:the};
\node [anchor=north,inner sep=2pt] (t3) at ([yshift=-2.4em]s3.center) {$t_3$:table};
\node [anchor=east,inner sep=2pt] (t0) at ([xshift=-2.2em]t1.west) {$t_0$};
}
{
\draw [-,dashed,thick] (s3.south) -- (t0);
\draw [-,dashed,thick] (s3.south) -- (t1);
\draw [-,dashed,thick] (s3.south) -- (t2);
\draw [-,dashed,thick] (s3.south) -- (t3);
}
\end{tikzpicture}
%---------------------------------------------------------------------
\begin{center}
\begin{tikzpicture}
{
\node [anchor=west,inner sep=2pt] (s1) at (0,0) {$s_1$:在};
\node [anchor=west,inner sep=2pt] (s2) at ([xshift=2em]s1.east) {$s_2$:桌子};
\node [anchor=west,inner sep=2pt] (s3) at ([xshift=2em]s2.east) {$s_3$:上};
\node [anchor=north,inner sep=2pt] (t1) at ([yshift=-2.4em]s1.center) {$t_1$:on};
\node [anchor=north,inner sep=2pt] (t2) at ([yshift=-2.4em]s2.center) {$t_2$:the};
\node [anchor=north,inner sep=2pt] (t3) at ([yshift=-2.4em]s3.center) {$t_3$:table};
\node [anchor=east,inner sep=2pt] (t0) at ([xshift=-2.2em]t1.west) {$t_0$};
\draw [-,dashed,thick] (s1.south) -- (t0.north);
\draw [-,dashed,thick] (s2.south) -- (t3.north);
\draw [-,dashed,thick] (s3.south) -- (t1.north);
}
\draw [-,dashed,thick,red] (s2.south) -- (t3.north);
\end{tikzpicture}
\end{center}
\ No newline at end of file
\begin{tikzpicture}
\node [anchor=west] (eq1) at (0,0) {$\sum\limits_{a_1=0}^{l} ... \sum\limits_{a_m=0}^{l} \prod\limits_{j=1}^{m} f(s_j|t_{a_j})$};
\node [anchor=west] (eq1part2) at (eq1.east) {$=$};
\node [anchor=west,inner sep=2pt] (eq1part3) at (eq1part2.east) {$\prod\limits_{j=1}^{m} \sum\limits_{i=0}^{l} f(s_j|t_i)$};
{
\node [anchor=west,inner sep=2pt,fill=red!20] (eq1part3) at (eq1part2.east) {$\prod\limits_{j=1}^{m} \sum\limits_{i=0}^{l} f(s_j|t_i)$};
}
{
\node [anchor=west] (eq2) at ([xshift=5em,yshift=-4.5em]eq1.west) {$\textrm{P}(s|t) = \frac{\epsilon}{(l+1)^{m}} $};
\node [anchor=west,inner sep=2pt] (eq2part2) at ([xshift=-0.3em]eq2.east) {$\prod\limits_{j=1}^{m} \sum\limits_{i=0}^{l} f(s_j|t_i)$};
\node [anchor=east] (eq2label) at ([xshift=-0em,yshift=0.2em]eq2.west) {\small{IBM模型1:}};
\node [anchor=west,inner sep=2pt,fill=red!20] (eq2part2) at ([xshift=-0.3em]eq2.east) {$\prod\limits_{j=1}^{m} \sum\limits_{i=0}^{l} f(s_j|t_i)$};
}
{
\node [anchor=west] (eq3) at ([xshift=5em,yshift=-7.5em]eq1.west) {$\textrm{P}(s|t) = \epsilon$};
\node [anchor=west,inner sep=2pt] (eq3part2) at ([xshift=-0.3em]eq3.east) {$\prod\limits_{j=1}^{m} \sum\limits_{i=0}^{l} a(i|j,m,l) f(s_j|t_i)$};
\node [anchor=east] (eq3label) at ([xshift=-0em,yshift=0.2em]eq3.west) {\small{类似的,IBM模型2:}};
}
\begin{pgfonlayer}{background}
{
\node[rectangle,draw=red,inner sep=2pt] [fit = (eq2) (eq2part2) (eq2label) (eq3) (eq3part2) (eq3label)] {};
}
\end{pgfonlayer}
{
\draw [->,thick] ([xshift=-1em]eq1part3.south) .. controls +(south:1.3em) and +(north:1.3em) .. ([xshift=1em]eq2part2.north);
}
\end{tikzpicture}
\begin{tikzpicture}
\begin{scope}[scale=0.8]
\draw [-,very thick] (0,0) sin (1,1) cos (2,0) sin (3,-1) cos (4,0) sin (7,-1);
\draw [-latex,thick] (-0.5,-1.2) -- (8,-1.2);
\draw [-latex,thick] (-0.5,-1.2) -- (-0.5,1.3);
\draw [-,dashed] (1,1) -- (1,-1.2);
\node [anchor=north] at (1,-1.2) {\scriptsize{参数$x$的最优解}};
\node [anchor=center] at (1,-1.2) {$\bullet$};
\node [anchor=center] at (1,1) {$\bullet$};
\node [anchor=west] at (1.3,1) {\scriptsize{目标函数$f(x)$的最大值}};
\draw [<-] (6.5,-0.8) -- (7.0,-0.3);
\node [anchor=south west,inner sep=1pt] at (7.0,-0.3) {\scriptsize{$f(x)$}};
\end{scope}
\end{tikzpicture}
\begin{tikzpicture}
\node [anchor=west] (eq1) at (0,0) {$\hat{\theta}$};
\node [anchor=west] (eq2) at ([yshift=-0.2em]eq1.east) {=};
\node [anchor=west,inner sep=2pt] (eq3) at ([yshift=-0.0em]eq2.east) {$\argmax$};
\node [anchor=north,inner sep=1pt] (eq3part2) at ([yshift=-0.2em]eq3.south) {\scriptsize{$\theta$}};
\node [anchor=west,inner sep=2pt] (eq4) at ([xshift=0.1em]eq3.east) {$\textrm{P}_{\theta}(s|t)$};
{
\node [anchor=west,inner sep=2pt,fill=red!20,minimum height=1.35em] (eq3) at ([yshift=-0.0em]eq2.east) {$\argmax$};
\node [anchor=west,inner sep=2pt,fill=green!20] (eq4) at ([xshift=0.1em]eq3.east) {$\textrm{P}_{\theta}(s|t)$};
\node [anchor=north,draw,inner sep=3pt,fill=red!20] (eq3label) at ([yshift=-1.5em]eq3.south west) {\footnotesize{\textbf{求最优参数}}};
\node [anchor=north,draw,inner sep=3pt,fill=green!20] (eq4label) at ([yshift=-1.5em]eq4.south east) {\footnotesize{\textbf{目标函数}}};
\draw [->,thick] ([xshift=-1em]eq3.south) .. controls +(south:1em) and +(north:1em) .. (eq3label.north);
\draw [->,thick] (eq4.south) .. controls +(south:1em) and +(north:1em) .. (eq4label.north);
}
\end{tikzpicture}
\begin{tikzpicture}
\node [anchor=west,inner sep=2pt,fill=green!20] (eq1) at (0,0) {$L(f,\lambda)$};
\node [anchor=west,inner sep=2pt] (eq2) at (eq1.east) {$=$};
\node [anchor=west,inner sep=2pt] (eq3) at (eq2.east) {$\frac{\epsilon}{(l+1)^{m}} \prod\limits_{j=1}^{m} \sum\limits_{i=0}^{l}$};
\node [anchor=west,inner sep=2pt] (eq4) at (eq3.east) {\black{$f(s_j|t_{i})$}};
\node [anchor=west,inner sep=2pt] (eq5) at (eq4.east) {$-$};
\node [anchor=north west,inner sep=2pt] (eq6) at ([yshift=-6pt]eq3.south west) {$\sum_{t_y}$};
\node [anchor=west,inner sep=1pt,minimum height=1.85em] (eq7) at (eq6.east) {$\lambda_{t_y}$};
\node [anchor=west,inner sep=1pt,minimum height=1.5em] (eq8) at ([xshift=3pt]eq7.east) {$(\sum_{s_x}$};
\node [anchor=west,inner sep=1pt,minimum height=1.5em] (eq9) at (eq8.east) {\black{$f(s_x|t_y)$}};
\node [anchor=west,inner sep=1pt,minimum height=1.5em] (eq10) at (eq9.east) {$-1)$};
{
\node [anchor=west,inner sep=2pt,fill=green!20] (eq1) at (0,0) {$L(f,\lambda)$};
\node [anchor=west,inner sep=2pt] (eq2) at (eq1.east) {$=$};
\node [anchor=west,inner sep=2pt] (eq3) at (eq2.east) {$\frac{\epsilon}{(l+1)^{m}} \prod\limits_{j=1}^{m} \sum\limits_{i=0}^{l}$};
\node [anchor=west,inner sep=2pt,draw,ublue,fill=blue!20] (eq4) at (eq3.east) {\black{$f(s_j|t_{i})$}};
\node [anchor=west,inner sep=2pt] (eq5) at (eq4.east) {$-$};
\node [anchor=north west,inner sep=2pt] (eq6) at ([yshift=-6pt]eq3.south west) {$\sum_{t_y}$};
\node [anchor=west,inner sep=1pt,fill=purple!20,minimum height=1.85em] (eq7) at (eq6.east) {$\lambda_{t_y}$};
\node [anchor=west,inner sep=1pt,minimum height=1.5em] (eq8) at ([xshift=3pt]eq7.east) {$(\sum_{s_x}$};
\node [anchor=west,inner sep=1pt,draw,ublue,fill=blue!20,minimum height=1.5em] (eq9) at (eq8.east) {\black{$f(s_x|t_y)$}};
\node [anchor=west,inner sep=1pt,minimum height=1.5em] (eq10) at (eq9.east) {$-1)$};
}
\begin{pgfonlayer}{background}
\node[rectangle,red,inner sep=2pt,fill=red!20] [fit = (eq3) (eq4)] (oldobj) {};
{
\node[rectangle,red,inner sep=2pt,fill=orange!20] [fit = (eq8) (eq9) (eq10)] (constraint) {};
}
\end{pgfonlayer}
\node [anchor=west,draw,fill=green!20] (label1) at ([xshift=-2em,yshift=3em]eq1.north west) {新目标函数};
\node [anchor=west,draw,fill=red!20] (label2) at ([xshift=2em]label1.east) {旧目标函数};
{
\node [anchor=west,draw,fill=blue!20] (label3) at ([xshift=2em]label2.east) {参数:词翻译概率};
\node [anchor=west,draw,fill=purple!20] (label4) at ([xshift=-4em,yshift=-2.5em]eq6.south west) {参数:拉格朗日乘数};
\node [anchor=west,draw,fill=orange!20] (label5) at ([xshift=3em]label4.east) {参数约束条件};
}
\draw [<-,thick] ([xshift=-1em]label1.south) .. controls +(south:2em) and +(north:2em) .. (eq1.north);
\draw [<-,thick] ([xshift=-1em]label2.south) .. controls +(south:1.0em) and +(north:1.0em) .. (oldobj.north);
{
\draw [<-,thick] ([xshift=0em]label3.south) .. controls +(south:6.5em) and +(north:1.5em) .. (eq9.north);
\draw [<-,thick] ([xshift=0em]label3.south) .. controls +(south:1.5em) and +(north:1.5em) .. (eq4.north);
\draw [<-,thick] ([xshift=-2em]label4.north) .. controls +(north:1.5em) and +(south:1.5em) .. (eq7.south);
\draw [<-,thick] ([xshift=0em]label5.north) .. controls +(north:1.5em) and +(south:1.5em) .. (constraint.south);
}
\end{tikzpicture}
\begin{tikzpicture}
\node[anchor=west,inner sep=2pt] (eq11) at (0,0) {\large{$\frac{\partial \big[ \prod\limits_{j=1}^{m} \sum\limits_{i=0}^{l} f(s_j|t_i) \big]}{\partial f(s_u|t_v)}$}};
\node[anchor=west,inner sep=2pt] (eq12) at ([yshift=-9pt]eq11.east) {=};
\node[anchor=west,inner sep=2pt,fill=red!20] (eq13) at ([yshift=2pt]eq12.east) {\large{$\frac{\partial \big[ \prod\limits_{j=1}^{m} \sum\limits_{i=0}^{l} f(s_j|t_i) \big]}{\partial \big[ \sum\limits_{i=0}^{l}f(s_u|t_i) \big]}$}};
\node[anchor=west,inner sep=2pt] (eq14) at ([yshift=-1pt]eq13.east) {$\cdot$};
\node[anchor=west,inner sep=2pt,fill=blue!20,minimum height=4em] (eq15) at ([yshift=8pt]eq14.east) {\large{$\frac{\partial \big[ \sum\limits_{i=0}^{l}f(s_u|t_i) \big]}{\partial f(s_u|t_v)}$}};
\node[anchor=south,inner sep=1pt] (label1) at ([yshift=1pt]eq13.north) {\footnotesize{$\partial g(z)/\partial z$}};
\node[anchor=south,inner sep=1pt] (label2) at ([yshift=1pt]eq15.north) {\footnotesize{$\partial z/\partial f$}};
\node[anchor=north west,inner sep=2pt] (eq21) at (eq13.south west) {$\frac{\sum\limits_{j=1}^{m} \delta(s_j,s_u)}{\sum\limits_{i=0}^{l}f(s_u|t_i)} \prod\limits_{j=1}^{m} \sum\limits_{i=0}^{l} f(s_j|t_i) \cdot \sum\limits_{i=0}^{l} \delta(t_i,t_v)$};
\node[anchor=east,inner sep=2pt] (eq20) at (eq21.west) {=};
\end{tikzpicture}
%%% outline
%-------------------------------------------------------------------------
\begin{tikzpicture}
{\large
\node [anchor=west,minimum height=3em,inner sep=2pt] (eq11) at (0,0) {max};
\node [anchor=west,inner sep=2pt] (eq12) at ([xshift=2pt]eq11.east) {$\Big( \frac{\epsilon}{(l+1)^{m}} \prod\limits_{j=1}^{m} \sum\limits_{i=0}^{l}$};
\node [anchor=west,inner sep=2pt] (eq13) at (eq12.east) {$f(s_j|t_i)$};
\node [anchor=west,inner sep=2pt] (eq14) at ([yshift=0.2em]eq13.east) {$\Big)$};
\node [anchor=north west,minimum height=1.8em,inner sep=2pt] (eq21) at ([yshift=-0.5em]eq11.south west) {s.t.};
\node [anchor=west] (eq22) at ([xshift=0.5em,yshift=-0.1em]eq21.east) {\normalsize{for each word $t_y$}:};
\node [anchor=west] (eq23) at ([xshift=0.1em,yshift=-0.0em]eq22.east) {$\sum_{s_x} f(s_x|t_y) = 1$};
{
\node [anchor=west,minimum height=3em,inner sep=2pt,fill=green!20] (eq11) at (0,0) {max};
\node [anchor=west,draw,thin,ublue,inner sep=2pt,fill=blue!20] (eq13) at (eq12.east) {\black{$f(s_j|t_i)$}};
\node [anchor=north west,minimum height=1.8em,inner sep=2pt,fill=purple!20] (eq21) at ([yshift=-0.5em]eq11.south west) {s.t.};
\node [anchor=west,fill=orange!20] (eq23) at ([xshift=0.1em,yshift=-0.0em]eq22.east) {$\sum_{s_x} f(s_x|t_y) = 1$};
}
\begin{pgfonlayer}{background}
{
\node[rectangle,red,inner sep=0pt,fill=red!20] [fit = (eq12) (eq13) (eq14)] (eq1full) (eq1obj) {};
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\end{pgfonlayer}
}
{
\node [anchor=west,draw,fill=green!20] (label1) at ([xshift=-2em,yshift=3em]eq11.north west) {最大化函数};
\node [anchor=west,draw,fill=red!20] (label2) at ([xshift=4em]label1.east) {目标函数};
\node [anchor=west,draw,fill=blue!20] (label3) at ([xshift=4em]label2.east) {参数};
\node [anchor=west,draw,fill=purple!20] (label4) at ([xshift=-2em,yshift=-2.5em]eq21.south west) {subject to=满足...约束};
\node [anchor=west,draw,fill=orange!20] (label5) at ([xshift=3em]label4.east) {翻译概率归一化约束条件};
\draw [<-,thick] ([xshift=-2em]label1.south) .. controls +(south:2em) and +(north:2em) .. (eq11.north);
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\draw [<-,thick] ([xshift=0em]label5.north) .. controls +(north:1.0em) and +(south:1.0em) .. (eq23.south);
}
\end{tikzpicture}
\begin{tikzpicture}
\node [anchor=west,inner sep=2pt,fill=green!20] (eq1) at (0,0) {$L(f,\lambda)$};
\node [anchor=west,inner sep=2pt] (eq2) at (eq1.east) {$=$};
\node [anchor=west,inner sep=2pt] (eq3) at (eq2.east) {$\frac{\epsilon}{(l+1)^{m}} \prod\limits_{j=1}^{m} \sum\limits_{i=0}^{l}$};
\node [anchor=west,inner sep=2pt] (eq4) at (eq3.east) {\black{$f(s_j|t_{i})$}};
\node [anchor=west,inner sep=2pt] (eq5) at (eq4.east) {$-$};
\node [anchor=north west,inner sep=2pt] (eq6) at ([yshift=-6pt]eq3.south west) {$\sum_{t_y}$};
\node [anchor=west,inner sep=1pt,minimum height=1.85em] (eq7) at (eq6.east) {$\lambda_{t_y}$};
\node [anchor=west,inner sep=1pt,minimum height=1.5em] (eq8) at ([xshift=3pt]eq7.east) {$(\sum_{s_x}$};
\node [anchor=west,inner sep=1pt,minimum height=1.5em] (eq9) at (eq8.east) {\black{$f(s_x|t_y)$}};
\node [anchor=west,inner sep=1pt,minimum height=1.5em] (eq10) at (eq9.east) {$-1)$};
{
\node [anchor=west,inner sep=2pt,fill=green!20] (eq1) at (0,0) {$L(f,\lambda)$};
\node [anchor=west,inner sep=2pt] (eq2) at (eq1.east) {$=$};
\node [anchor=west,inner sep=2pt] (eq3) at (eq2.east) {$\frac{\epsilon}{(l+1)^{m}} \prod\limits_{j=1}^{m} \sum\limits_{i=0}^{l}$};
\node [anchor=west,inner sep=2pt,draw,ublue,fill=blue!20] (eq4) at (eq3.east) {\black{$f(s_j|t_{i})$}};
\node [anchor=west,inner sep=2pt] (eq5) at (eq4.east) {$-$};
\node [anchor=north west,inner sep=2pt] (eq6) at ([yshift=-6pt]eq3.south west) {$\sum_{t_y}$};
\node [anchor=west,inner sep=1pt,fill=purple!20,minimum height=1.85em] (eq7) at (eq6.east) {$\lambda_{t_y}$};
\node [anchor=west,inner sep=1pt,minimum height=1.5em] (eq8) at ([xshift=3pt]eq7.east) {$(\sum_{s_x}$};
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\node [anchor=west,inner sep=1pt,minimum height=1.5em] (eq10) at (eq9.east) {$-1)$};
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\begin{pgfonlayer}{background}
\node[rectangle,red,inner sep=2pt,fill=red!20] [fit = (eq3) (eq4)] (oldobj) {};
{
\node[rectangle,red,inner sep=2pt,fill=orange!20] [fit = (eq8) (eq9) (eq10)] (constraint) {};
}
\end{pgfonlayer}
\node [anchor=west,draw,fill=green!20] (label1) at ([xshift=-2em,yshift=3em]eq1.north west) {新目标函数};
\node [anchor=west,draw,fill=red!20] (label2) at ([xshift=2em]label1.east) {旧目标函数};
{
\node [anchor=west,draw,fill=blue!20] (label3) at ([xshift=2em]label2.east) {参数:词翻译概率};
\node [anchor=west,draw,fill=purple!20] (label4) at ([xshift=-4em,yshift=-2.5em]eq6.south west) {参数:拉格朗日乘数};
\node [anchor=west,draw,fill=orange!20] (label5) at ([xshift=3em]label4.east) {参数约束条件};
}
\draw [<-,thick] ([xshift=-1em]label1.south) .. controls +(south:2em) and +(north:2em) .. (eq1.north);
\draw [<-,thick] ([xshift=-1em]label2.south) .. controls +(south:1.0em) and +(north:1.0em) .. (oldobj.north);
{
\draw [<-,thick] ([xshift=0em]label3.south) .. controls +(south:6.5em) and +(north:1.5em) .. (eq9.north);
\draw [<-,thick] ([xshift=0em]label3.south) .. controls +(south:1.5em) and +(north:1.5em) .. (eq4.north);
\draw [<-,thick] ([xshift=-2em]label4.north) .. controls +(north:1.5em) and +(south:1.5em) .. (eq7.south);
\draw [<-,thick] ([xshift=0em]label5.north) .. controls +(north:1.5em) and +(south:1.5em) .. (constraint.south);
}
\end{tikzpicture}
%%% outline
%-------------------------------------------------------------------------
\begin{tikzpicture}
\node [anchor=west,inner sep=2pt,fill=red!20,minimum height=3em] (eq1) at (0,0) {$f(s_u|t_v)$};
\node [anchor=west,inner sep=2pt] (eq2) at ([xshift=-2pt]eq1.east) {$=$};
\node [anchor=west,inner sep=2pt] (eq3) at ([xshift=-2pt]eq2.east) {$\lambda_{t_v}^{-1}$};
\node [anchor=west,inner sep=2pt] (eq4) at ([xshift=-2pt]eq3.east) {$\frac{\epsilon}{(l+1)^{m}}$};
\node [anchor=west,inner sep=2pt,fill=red!20,minimum height=3em] (eq5) at ([xshift=-2pt]eq4.east) {\footnotesize{$\prod\limits_{j=1}^{m} \sum\limits_{i=0}^{l} f(s_j|t_i)$}};
\node [anchor=west,inner sep=2pt] (eq6) at ([xshift=-2pt]eq5.east) {\footnotesize{$\sum\limits_{j=1}^{m} \delta(s_j,s_u) \sum\limits_{i=0}^{l} \delta(t_i,t_v)$}};
\node [anchor=west,inner sep=2pt,fill=red!20,minimum height=3em] (eq7) at ([xshift=-2pt,yshift=-0pt]eq6.east) {$\frac{f(s_u|t_v)}{\sum_{i=0}^{l}f(s_u|t_i)}$};
\node [anchor=south west,inner sep=2pt] (label1) at ([yshift=1em]eq1.north west) {\footnotesize{\textbf{新的参数值}}};
\node [anchor=south east,inner sep=2pt] (label2) at ([yshift=1em,xshift=-5em]eq7.north east) {\footnotesize{\textbf{旧的参数值}}};
\draw [<-,thick] (label1.south) .. controls +(south:1em) and +(north:1em) .. ([xshift=-1em]eq1.north);
\draw [<-,thick] (label2.south) .. controls +(300:1em) and +(north:1em) .. ([xshift=1em]eq7.north);
\draw [<-,thick] ([xshift=-0.5em]label2.south) .. controls +(240:1em) and +(north:1em) .. ([xshift=1em]eq5.north);
\end{tikzpicture}
%---------------------------------------------------------------------
%%% outline
%-------------------------------------------------------------------------
\begin{tikzpicture}
\node [anchor=west,inner sep=2pt,minimum height=2em] (eq1) at (0,0) {$f(s_u|t_v)$};
\node [anchor=west,inner sep=2pt] (eq2) at ([xshift=-2pt]eq1.east) {$=$};
\node [anchor=west,inner sep=2pt,minimum height=2em] (eq3) at ([xshift=-2pt]eq2.east) {$\lambda_{t_v}^{-1}$};
\node [anchor=west,inner sep=2pt,minimum height=3.0em] (eq4) at ([xshift=-3pt]eq3.east) {\footnotesize{$\frac{\epsilon}{(l+1)^{m}} \prod\limits_{j=1}^{m} \sum\limits_{i=0}^{l} f(s_j|t_i)$}};
\node [anchor=west,inner sep=2pt,minimum height=3.0em] (eq5) at ([xshift=1pt]eq4.east) {\footnotesize{$\sum\limits_{j=1}^{m} \delta(s_j,s_u) \sum\limits_{i=0}^{l} \delta(t_i,t_v)$}};
\node [anchor=west,inner sep=2pt,minimum height=3.0em] (eq6) at ([xshift=1pt]eq5.east) {$\frac{f(s_u|t_v)}{\sum_{i=0}^{l}f(s_u|t_i)}$};
{
\node [anchor=west,inner sep=2pt,fill=red!20,minimum height=3.0em] (eq4) at ([xshift=-3pt]eq3.east) {\footnotesize{$\frac{\epsilon}{(l+1)^{m}} \prod\limits_{j=1}^{m} \sum\limits_{i=0}^{l} f(s_j|t_i)$}};
}
{
\node [anchor=west,inner sep=2pt,fill=blue!20,minimum height=3.0em] (eq5) at ([xshift=1pt]eq4.east) {\footnotesize{$\sum\limits_{j=1}^{m} \delta(s_j,s_u) \sum\limits_{i=0}^{l} \delta(t_i,t_v)$}};
}
{
\node [anchor=west,inner sep=2pt,fill=green!20,minimum height=3.0em] (eq6) at ([xshift=1pt]eq5.east) {$\frac{f(s_u|t_v)}{\sum_{i=0}^{l}f(s_u|t_i)}$};
}
{
\node [anchor=south west,inner sep=2pt] (label1) at (eq4.north west) {\textbf{\scriptsize{翻译概率$\textrm{P}(s|t)$}}};
}
{
\node [anchor=south west,inner sep=2pt] (label2) at (eq5.north west) {\textbf{\scriptsize{配对的总次数}}};
\node [anchor=south west,inner sep=2pt] (label2part2) at ([yshift=-3pt]label2.north west) {\textbf{\scriptsize{$(s_u,t_v)$在句对$(s,t)$}}};
}
{
\node [anchor=south west,inner sep=2pt] (label3) at (eq6.north west) {\textbf{\scriptsize{有的$t_i$的相对值}}};
\node [anchor=south west,inner sep=2pt] (label4) at ([yshift=-3pt]label3.north west) {\textbf{\scriptsize{$f(s_u|t_v)$对于所}}};
}
{
\node [anchor=east,rotate=90] (neweq1) at ([yshift=-0em]eq4.south) {=};
\node [anchor=north,inner sep=1pt] (neweq1full) at (neweq1.west) {\large{$\textrm{P}(s|t)$}};
}
{
\draw[decorate,thick,decoration={brace,amplitude=5pt,mirror}] ([yshift=-0.2em]eq5.south west) -- ([yshift=-0.2em]eq6.south east) node [pos=0.4,below,xshift=-0.0em,yshift=-0.3em] (expcount1) {\footnotesize{\textbf{'$t_v$翻译为$s_u$'这个事件}}};
\node [anchor=north west] (expcount2) at ([yshift=0.5em]expcount1.south west) {\footnotesize{\textbf{出现次数的期望的估计}}};
\node [anchor=north west] (expcount3) at ([yshift=0.5em]expcount2.south west) {\footnotesize{\textbf{称之为期望频次expected count}}};
}
\end{tikzpicture}
%%% outline
%-------------------------------------------------------------------------
\begin{tikzpicture}
\node [anchor=west,inner sep=2pt] (eq1) at (0,0) {$f(s_u|t_v)$};
\node [anchor=west] (eq2) at (eq1.east) {$=$\ };
\draw [-] ([xshift=0.3em]eq2.east) -- ([xshift=11.6em]eq2.east);
\node [anchor=south west] (eq3) at ([xshift=1em]eq2.east) {$\sum_{i=1}^{N} c_{\mathbb{E}}(s_u|t_v;s^{[i]},t^{[i]})$};
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%%% outline
%-------------------------------------------------------------------------
\begin{tikzpicture}
\node [anchor=north west] (line1) at (0,0) {\textbf{IBM模型1的训练(EM算法)}};
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\node [anchor=north west] (line3) at ([yshift=-0.1em]line2.south west) {输出: 参数$f(\cdot|\cdot)$的最优值};
\node [anchor=north west] (line4) at ([yshift=-0.1em]line3.south west) {1: \textbf{Function} \textsc{TrainItWithEM}($\{(s^{[1]},t^{[1]}),...,(s^{[N]},t^{[N]})\}$) };
\node [anchor=north west] (line5) at ([yshift=-0.1em]line4.south west) {2: \ \ Initialize $f(\cdot|\cdot)$ \hspace{5em} $\rhd$ 比如给$f(\cdot|\cdot)$一个均匀分布};
\node [anchor=north west] (line6) at ([yshift=-0.1em]line5.south west) {3: \ \ Loop until $f(\cdot|\cdot)$ converges};
\node [anchor=north west] (line7) at ([yshift=-0.1em]line6.south west) {4: \ \ \ \ \textbf{foreach} $k = 1$ to $N$ \textbf{do}};
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\node [anchor=north west] (line10) at ([yshift=-0.1em]line9.south west) {7: \ \ \ \ \ \ \ $\lambda_{t_v}^{'} = \sum_{s_u} \sum_{k=1}^{N} c_{\mathbb{E}}(s_u|t_v;s^{[k]},t^{[k]})$};
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%%% outline
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%---------------------------------------------------------------------
%%% outline
%-------------------------------------------------------------------------
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%---------------------------------------------------------------------
%%% outline
%-------------------------------------------------------------------------
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{\small
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%---------------------------------------------------------------------
%%% outline
%-------------------------------------------------------------------------
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%---------------------------------------------------------------------
%%% outline
%-------------------------------------------------------------------------
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{
\node [anchor=north] (score21) at ([yshift=0.2em]score11.south) {$\textrm{P}(s|t)$};
\node [anchor=north] (score22) at ([yshift=0.2em]score12.south) {$\textrm{P}(s|t')$};
\node [anchor=west] (comp2) at ([xshift=2.3em]score21.east) {\large{$\mathbf{>}$}};
\node [anchor=east] (label2) at ([xshift=-1em,yshift=0.1em]score21.west) {\textbf{理想:}};
}
\end{tikzpicture}
%---------------------------------------------------------------------
\definecolor{ublue}{rgb}{0.152,0.250,0.545}
\definecolor{ugreen}{rgb}{0,0.5,0}
%%% outline
%-------------------------------------------------------------------------
\begin{tikzpicture}
{\footnotesize
\node [anchor=west] (mid) at (0,0) {$\alpha(1,0)\alpha(2,0) + \alpha(1,0)\alpha(2,1) + \alpha(1,0)\alpha(2,2) +$};
\node [anchor=west] (mid2) at ([yshift=-2em]mid.west) {$\alpha(1,1)\alpha(2,0) + \alpha(1,1)\alpha(2,1) + \alpha(1,1)\alpha(2,2)+$};
\node [anchor=west] (mid3) at ([yshift=-2em]mid2.west) {$\alpha(1,2)\alpha(2,0) + \alpha(1,2)\alpha(2,1) + \alpha(1,2)\alpha(2,2)$};
}
\begin{pgfonlayer}{background}
\node[rectangle,draw=ublue,red,inner sep=0.1em,fill=white] [fit = (mid) (mid2) (mid3)] (exampleeq) {};
\end{pgfonlayer}
{\footnotesize
{
\node [anchor=north] (eq1) at ([xshift=2em,yshift=-2em]exampleeq.south west) {$\sum\limits_{y_1=0}^{2} \sum\limits_{y_2=0}^{2} \alpha(1,y_1)\alpha(2,y_2)$};
\node [anchor=west] (eq1part2) at ([xshift=-1em,yshift=-3em]eq1.west) {$=$};
\node [anchor=west] (eq1part3) at ([xshift=-0.5em]eq1part2.east) {$\sum\limits_{y_1=0}^{2} \sum\limits_{y_2=0}^{2} \prod\limits_{x=1}^{2} $};
\node [anchor=west,inner sep=2pt] (eq1part4) at ([xshift=-0.3em]eq1part3.east) {$\alpha(x,y_x)$};
}
{
\node [anchor=north] (eq2) at ([xshift=-2em,yshift=-2em]exampleeq.south east) {$(\alpha(1,0)+\alpha(1,1)+\alpha(1,2))\cdot$};
\node [anchor=west] (eq2part2) at ([yshift=-1.5em]eq2.west) {$(\alpha(2,0)+\alpha(2,1)+\alpha(2,2))$};
\node [anchor=west] (eq2part3) at ([xshift=2.1in]eq1part2.east){$=$};
\node [anchor=west] (eq2part4) at ([xshift=-0.5em]eq2part3.east){$\prod\limits_{x=1}^{2} \sum\limits_{y=0}^{2}$};
\node [anchor=west,inner sep=2pt] (eq2part5) at ([xshift=-0.3em]eq2part4.east){$\alpha(x,y)$};
}
}
\begin{pgfonlayer}{background}
{
\node[rectangle,draw=ublue,red,inner sep=0.1em,fill=white] [fit = (eq1) (eq1part2) (eq1part3)] (eq1full) {};
}
{
\node[rectangle,draw=ublue,red,inner sep=0.1em,fill=white] [fit = (eq2) (eq2part2) (eq2part3) (eq2part4)] (eq2full) {};
}
\end{pgfonlayer}
{
\draw [->,thick] ([xshift=-3em]exampleeq.south) .. controls +(south:1.5em) and +(north:1.5em) .. (eq1full.north);
}
{
\draw [->,thick] ([xshift=3em]exampleeq.south) .. controls +(south:1.5em) and +(north:1.5em) .. (eq2full.north);
}
{
\node [anchor=west] at ([xshift=0.7em]eq1full.east) {\LARGE{\textbf{=}}};
}
{
{\large
\node [anchor=west] (feq) at ([xshift=3em,yshift=-3em]eq1full.south west) {$\sum\limits_{a_1=0}^{l} ... \sum\limits_{a_m=0}^{l} \prod\limits_{j=1}^{m}$};
\node [anchor=west,inner sep=2pt,fill=blue!20] (feqpart2) at ([xshift=-0.3em]feq.east) {$f(s_j|t_{a_j})$};
\node [anchor=west,inner sep=1pt] (feqpart3) at (feqpart2.east) {=};
\node [anchor=west] (feqpart4) at (feqpart3.east) {$\prod\limits_{j=1}^{m} \sum\limits_{i=0}^{l}$};
\node [anchor=west,inner sep=2pt,fill=blue!20] (feqpart5) at ([xshift=-0.3em]feqpart4.east) {$f(s_j|t_i)$};
}
\draw [->,thick] (eq1part4.south) .. controls +(south:2.5em) and +(north:2.5em) .. (feqpart2.north);
\draw [->,thick] (eq2part5.south) .. controls +(south:1.5em) and +(north:1.5em) .. (feqpart5.north);
\node [anchor=west,inner sep=2pt,fill=blue!20] (eq1part4) at ([xshift=-0.3em]eq1part3.east) {\footnotesize{$\alpha(x,y_x)$}};
\node [anchor=west,inner sep=2pt,fill=blue!20] (eq2part5) at ([xshift=-0.3em]eq2part4.east){\footnotesize{$\alpha(x,y)$}};
}
\end{tikzpicture}
%%% outline
%-------------------------------------------------------------------------
\begin{tabular}{| l | l |}
\hline
& {\footnotesize{$\prod\limits_{(j,i) \in \hat{A}} \textrm{P}(s_j,t_i)$} } \\ \hline
\begin{tikzpicture}
\begin{scope}
{\footnotesize
\begin{scope}
\node [anchor=west] (s1) at (0,0) {$_1$};
\node [anchor=west] (s2) at ([xshift=2.2em]s1.east) {$_2$};
\node [anchor=west] (s3) at ([xshift=3.2em]s2.east) {$_3$};
\node [anchor=west] (s4) at ([xshift=3.6em]s3.east) {感到$_4$};
\node [anchor=west] (s5) at ([xshift=1.9em]s4.east) {满意$_5$};
\node [anchor=east] (s) at (s1.west) {$s=$};
\end{scope}
\begin{scope}[yshift=-3.6em]
\node [anchor=west] (t1) at (0.35em,0) {I$_1$};
\node [anchor=west] (t2) at ([xshift=2.3em,yshift=-0.1em]t1.east) {am$_2$};
\node [anchor=west] (t3) at ([xshift=2.3em,yshift=0.1em]t2.east) {satisfied$_3$};
\node [anchor=west] (t4) at ([xshift=2.3em]t3.east) {with$_4$};
\node [anchor=west] (t5) at ([xshift=2.3em,yshift=-0.2em]t4.east) {you$_5$};
\node [anchor=east] (t) at (t1.west) {$t'=$};
\end{scope}
\draw [-,thick,ublue,dashed] (s1.south) -- (t1.north);
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\draw [-,thick,ublue,dashed] (s5.south) -- (t3.north);
}
\end{scope}
\end{tikzpicture}
& {\tikz{\node[minimum height=3.2em]{\small{0.0023}};}} \\
\begin{tikzpicture}
\begin{scope}
{\footnotesize
\begin{scope}
\node [anchor=west] (s1) at (0,0) {$_1$};
\node [anchor=west] (s2) at ([xshift=2.5em]s1.east) {$_2$};
\node [anchor=west] (s3) at ([xshift=2.5em]s2.east) {$_3$};
\node [anchor=west] (s4) at ([xshift=2.5em]s3.east) {感到$_4$};
\node [anchor=west] (s5) at ([xshift=2.5em]s4.east) {满意$_5$};
\node [anchor=east] (s) at (s1.west) {$s=$};
\end{scope}
\begin{scope}[yshift=-3.6em]
\node [anchor=center] (t1) at ([yshift=-1.6em]s1.south) {I$_1$};
\node [anchor=center] (t2) at ([yshift=-1.6em]s2.south) {with$_2$};
\node [anchor=center] (t3) at ([yshift=-1.7em]s3.south) {you$_3$};
\node [anchor=center] (t4) at ([yshift=-1.7em]s4.south) {am$_4$};
\node [anchor=center] (t5) at ([yshift=-1.6em]s5.south) {satisfied$_5$};
\node [anchor=center] (t) at ([xshift=-1.3em]t1.west) {$t''=$};
\end{scope}
\draw [-,thick,ublue,dashed] (s1.south) -- (t1.north);
\draw [-,thick,ublue,dashed] (s2.south) -- (t2.north);
\draw [-,thick,ublue,dashed] (s3.south) -- (t3.north);
\draw [-,thick,ublue,dashed] (s4.south) -- (t4.north);
\draw [-,thick,ublue,dashed] (s5.south) -- (t5.north);
}
\end{scope}
\end{tikzpicture}
&{\tikz{\node[minimum height=3.2em]{\small{0.0023}};}}\\
\hline
\end{tabular}
%---------------------------------------------------------------------
\begin{tikzpicture}
{
\node [anchor=north west,inner sep=2pt,align=left] (line1) at (0,0) {\textrm{\textbf{Function} \textsc{WordDecoding}($s$)}};
\node [anchor=north west,inner sep=2pt,align=left] (line2) at ([yshift=-1pt]line1.south west) {\textrm{1: $\pi = $\textsc{GetTransOptions}($s$)}};
\node [anchor=north west,inner sep=2pt,align=left] (line3) at ([yshift=-1pt]line2.south west) {\textrm{2: $best = \phi$}};
\node [anchor=north west,inner sep=2pt,align=left] (line4) at ([yshift=-1pt]line3.south west) {\textrm{3: \textbf{for} $i$ in $[1,m]$ \textbf{do}}};
\node [anchor=north west,inner sep=2pt,align=left] (line5) at ([yshift=-1pt]line4.south west) {\textrm{4: \hspace{1em} $h = \phi$}};
\node [anchor=north west,inner sep=2pt,align=left] (line6) at ([yshift=-1pt]line5.south west) {\textrm{5: \hspace{1em} \textbf{foreach} $j$ in $[1,m]$ \textbf{do}}};
\node [anchor=north west,inner sep=2pt,align=left] (line7) at ([yshift=-1pt]line6.south west) {\textrm{6: \hspace{2em} \textbf{if} $used[j]=$ \textbf{true} \textbf{then}}};
\node [anchor=north west,inner sep=2pt,align=left] (line8) at ([yshift=-1pt]line7.south west) {\textrm{7: \hspace{3em} $h = h \cup \textrm{\textsc{Join}}(best,\pi[j])$}};
\node [anchor=north west,inner sep=2pt,align=left] (line9) at ([yshift=-1pt]line8.south west) {\textrm{8: \hspace{1em} $best = \textrm{\textsc{PruneForTop1}}(h)$}};
\node [anchor=north west,inner sep=2pt,align=left] (line10) at ([yshift=-1pt]line9.south west) {\textrm{9: \hspace{1em} $used[best.j] = \textrm{\textsc{\textbf{true}}}$}};
\node [anchor=north west,inner sep=2pt,align=left] (line11) at ([yshift=-1pt]line10.south west) {\textrm{10: \textbf{return} $best.translatoin$}};
\node [anchor=south west,inner sep=2pt,align=left] (head1) at ([yshift=1pt]line1.north west) {输出: 找的最佳译文};
\node [anchor=south west,inner sep=2pt,align=left] (head2) at ([yshift=1pt]head1.north west) {输入: 源语句子$s=s_1...s_m$};
}
\begin{pgfonlayer}{background}
\node[rectangle,draw=ublue,thick,inner sep=0.2em,fill=white,drop shadow,minimum height=1.6cm] [fit = (head2) (line8) (line11)] (algorithm) {};
%% highlights
%\begin{pgfonlayer}{background}
{
\node[anchor=west,fill=blue!20,minimum height=0.16in,minimum width=2.21in] (line2highlight) at (line2.west) {};
}
{
\node[anchor=west,fill=blue!20,minimum height=0.16in,minimum width=2.21in] (line3highlight) at (line3.west) {};
\node[anchor=west,fill=blue!20,minimum height=0.16in,minimum width=2.21in] (line5highlight) at (line5.west) {};
}
%\end{pgfonlayer}
\end{pgfonlayer}
{
%% remark 1
\begin{scope}
{
\node [anchor=north west,align=left] (remark1) at ([xshift=0.4in]algorithm.north east) {获取每个单词\\的翻译候选};
\node [anchor=west,draw,thick,circle,minimum size=0.3em,inner sep=2.1pt,red] (s1) at ([yshift=-0.7em,xshift=0.5em]remark1.north east){1};
\node [anchor=west,draw,thick,circle,minimum size=0.3em,inner sep=2.1pt,ugreen] (s2) at ([xshift=0.4em]s1.east) {2};
\node [anchor=west,draw,thick,circle,minimum size=0.3em,inner sep=2.1pt,orange] (s3) at ([xshift=0.4em]s2.east) {3};
\node [anchor=west,draw,thick,circle,minimum size=0.3em,inner sep=3.0pt,ublue] (s4) at ([xshift=0.4em]s3.east) {...};
\node [anchor=west,draw,thick,circle,minimum size=0.3em,inner sep=1.5pt,purple] (s5) at ([xshift=0.4em]s4.east) {$m$};
\node [anchor=center,draw,thick,circle,minimum size=0.3em,inner sep=2pt,red,fill=red] (t1) at ([yshift=-1.7em]s1.center) {{\color{white} $n$}};
\node [anchor=center,draw,thick,circle,minimum size=0.3em,inner sep=2pt,ugreen,fill=ugreen] (t2) at ([yshift=-1.7em]s2.center) {{\color{white} $n$}};
\node [anchor=center,draw,thick,circle,minimum size=0.3em,inner sep=2pt,orange,fill=orange] (t3) at ([yshift=-1.7em]s3.center) {{\color{white} $n$}};
\node [anchor=center,draw,thick,circle,minimum size=0.3em,inner sep=2pt,ublue,fill=ublue] (t4) at ([yshift=-1.7em]s4.center) {{\color{white} $n$}};
\node [anchor=center,draw,thick,circle,minimum size=0.3em,inner sep=2pt,purple,fill=purple] (t5) at ([yshift=-1.7em]s5.center) {{\color{white} $n$}};
\draw [->,thick] ([yshift=-0.1em]s1.south) -- ([yshift=0.1em]t1.north);
\draw [->,thick] ([yshift=-0.1em]s2.south) -- ([yshift=0.1em]t2.north);
\draw [->,thick] ([yshift=-0.1em]s3.south) -- ([yshift=0.1em]t3.north);
\draw [->,thick] ([yshift=-0.1em]s4.south) -- ([yshift=0.1em]t4.north);
\draw [->,thick] ([yshift=-0.1em]s5.south) -- ([yshift=0.1em]t5.north);
\begin{pgfonlayer}{background}
{
\node[rectangle,draw,inner sep=0.2em,fill=blue!10] [fit = (remark1) (t5)] (remark1label) {};
}
\end{pgfonlayer}
}
\end{scope}
%% end of remark 1
%% remark 2
\begin{scope}
{
\node [anchor=north west,draw,inner sep=2pt,fill=blue!10] (remark2) at ([xshift=-0.2em,yshift=-1em]remark1.south west) {$best$用于保存当前最好的翻译结果};
}
\end{scope}
%% end of remark 2
\node [anchor=north west] (remark4) at ([xshift=21.8em,yshift=-0.6em]line7.east) {};
%% remark 3
\begin{scope}
{
\node [anchor=north west,draw,inner sep=2pt,fill=blue!10] (remark3) at ([yshift=-0.5em]remark2.south west) {$h$用于保存每步生成的所有译文候选};
}
\end{scope}
%% end of remark 3
{
\draw [->,thick] (line2highlight.east) ..controls +(east:1em) and +(west:1em).. (remark1label.west);
}
{
\draw [->,thick] (line3highlight.east) ..controls +(east:1em) and +(west:1em).. ([yshift=0.3em]remark2.south west);
\draw [->,thick] (line5highlight.east) ..controls +(east:1em) and +(west:1em).. ([yshift=0.3em]remark3.south west);
}
}
\end{tikzpicture}
%%% outline
%-------------------------------------------------------------------------
\begin{tikzpicture}
{
\node [anchor=north west,inner sep=2pt,align=left] (line1) at (0,0) {\textrm{\textbf{Function} \textsc{WordDecoding}($s$)}};
\node [anchor=north west,inner sep=2pt,align=left] (line2) at ([yshift=-1pt]line1.south west) {\textrm{1: $\pi = $\textsc{GetTransOptions}($s$)}};
\node [anchor=north west,inner sep=2pt,align=left] (line3) at ([yshift=-1pt]line2.south west) {\textrm{2: $best = \phi$}};
\node [anchor=north west,inner sep=2pt,align=left] (line4) at ([yshift=-1pt]line3.south west) {\textrm{3: \textbf{for} $i$ in $[1,m]$ \textbf{do}}};
\node [anchor=north west,inner sep=2pt,align=left] (line5) at ([yshift=-1pt]line4.south west) {\textrm{4: \hspace{1em} $h = \phi$}};
\node [anchor=north west,inner sep=2pt,align=left] (line6) at ([yshift=-1pt]line5.south west) {\textrm{5: \hspace{1em} \textbf{foreach} $j$ in $[1,m]$ \textbf{do}}};
\node [anchor=north west,inner sep=2pt,align=left] (line7) at ([yshift=-1pt]line6.south west) {\textrm{6: \hspace{2em} \textbf{if} $used[j]=$ \textbf{true} \textbf{then}}};
\node [anchor=north west,inner sep=2pt,align=left] (line8) at ([yshift=-1pt]line7.south west) {\textrm{7: \hspace{3em} $h = h \cup \textrm{\textsc{Join}}(best,\pi[j])$}};
\node [anchor=north west,inner sep=2pt,align=left] (line9) at ([yshift=-1pt]line8.south west) {\textrm{8: \hspace{1em} $best = \textrm{\textsc{PruneForTop1}}(h)$}};
\node [anchor=north west,inner sep=2pt,align=left] (line10) at ([yshift=-1pt]line9.south west) {\textrm{9: \hspace{1em} $used[best.j] = \textrm{\textsc{\textbf{true}}}$}};
\node [anchor=north west,inner sep=2pt,align=left] (line11) at ([yshift=-1pt]line10.south west) {\textrm{10: \textbf{return} $best.translatoin$}};
\node [anchor=south west,inner sep=2pt,align=left] (head1) at ([yshift=1pt]line1.north west) {输出: 找的最佳译文};
\node [anchor=south west,inner sep=2pt,align=left] (head2) at ([yshift=1pt]head1.north west) {输入: 源语句子$s=s_1...s_m$};
}
\begin{pgfonlayer}{background}
\node[rectangle,draw=ublue,thick,inner sep=0.2em,fill=white,drop shadow,minimum height=1.6cm] [fit = (head2) (line8) (line11)] (algorithm) {};
%% highlights
%\begin{pgfonlayer}{background}
{
\node[anchor=west,fill=blue!20,minimum height=0.16in,minimum width=2.21in] (line2highlight) at (line2.west) {};
}
{
\node[anchor=west,fill=blue!20,minimum height=0.16in,minimum width=2.21in] (line3highlight) at (line3.west) {};
\node[anchor=west,fill=blue!20,minimum height=0.16in,minimum width=2.21in] (line5highlight) at (line5.west) {};
}
{
\node[anchor=west,fill=blue!20,minimum height=0.16in,minimum width=2.21in] (line8highlight) at (line8.west) {};
}
{
\node[anchor=west,fill=blue!20,minimum height=0.16in,minimum width=2.21in] (line9highlight) at (line9.west) {};
}
{
\node[anchor=west,fill=blue!20,minimum height=0.16in,minimum width=2.21in] (line10highlight) at (line10.west) {};
}
%\end{pgfonlayer}
\end{pgfonlayer}
{
%% remark 1
\begin{scope}
{
\node [anchor=north west,align=left] (remark1) at ([xshift=0.4in]algorithm.north east) {获取每个单词\\的翻译候选};
\node [anchor=west,draw,thick,circle,minimum size=0.3em,inner sep=2.1pt,red] (s1) at ([yshift=-0.7em,xshift=0.5em]remark1.north east){1};
\node [anchor=west,draw,thick,circle,minimum size=0.3em,inner sep=2.1pt,ugreen] (s2) at ([xshift=0.4em]s1.east) {2};
\node [anchor=west,draw,thick,circle,minimum size=0.3em,inner sep=2.1pt,orange] (s3) at ([xshift=0.4em]s2.east) {3};
\node [anchor=west,draw,thick,circle,minimum size=0.3em,inner sep=3.0pt,ublue] (s4) at ([xshift=0.4em]s3.east) {...};
\node [anchor=west,draw,thick,circle,minimum size=0.3em,inner sep=1.5pt,purple] (s5) at ([xshift=0.4em]s4.east) {$m$};
\node [anchor=center,draw,thick,circle,minimum size=0.3em,inner sep=2pt,red,fill=red] (t1) at ([yshift=-1.7em]s1.center) {{\color{white} $n$}};
\node [anchor=center,draw,thick,circle,minimum size=0.3em,inner sep=2pt,ugreen,fill=ugreen] (t2) at ([yshift=-1.7em]s2.center) {{\color{white} $n$}};
\node [anchor=center,draw,thick,circle,minimum size=0.3em,inner sep=2pt,orange,fill=orange] (t3) at ([yshift=-1.7em]s3.center) {{\color{white} $n$}};
\node [anchor=center,draw,thick,circle,minimum size=0.3em,inner sep=2pt,ublue,fill=ublue] (t4) at ([yshift=-1.7em]s4.center) {{\color{white} $n$}};
\node [anchor=center,draw,thick,circle,minimum size=0.3em,inner sep=2pt,purple,fill=purple] (t5) at ([yshift=-1.7em]s5.center) {{\color{white} $n$}};
\draw [->,thick] ([yshift=-0.1em]s1.south) -- ([yshift=0.1em]t1.north);
\draw [->,thick] ([yshift=-0.1em]s2.south) -- ([yshift=0.1em]t2.north);
\draw [->,thick] ([yshift=-0.1em]s3.south) -- ([yshift=0.1em]t3.north);
\draw [->,thick] ([yshift=-0.1em]s4.south) -- ([yshift=0.1em]t4.north);
\draw [->,thick] ([yshift=-0.1em]s5.south) -- ([yshift=0.1em]t5.north);
\begin{pgfonlayer}{background}
{
\node[rectangle,draw,inner sep=0.2em,fill=blue!10] [fit = (remark1) (t5)] (remark1label) {};
}
\end{pgfonlayer}
}
\end{scope}
%% end of remark 1
%% remark 2
\begin{scope}
{
\node [anchor=north west,draw,inner sep=2pt,fill=blue!10] (remark2) at ([xshift=-0.2em,yshift=-1em]remark1.south west) {$best$用于保存当前最好的翻译结果};
}
\end{scope}
%% end of remark 2
%% remark 3
\begin{scope}
{
\node [anchor=north west,draw,inner sep=2pt,fill=blue!10] (remark3) at ([yshift=-0.5em]remark2.south west) {$h$用于保存每步生成的所有译文候选};
}
\end{scope}
%% end of remark 3
%% remark 4
\begin{scope}
{
\node [anchor=north west,inner sep=2pt,align=left] (remark4) at ([xshift=0.25em,yshift=-0.6em]remark3.south west) {\textsc{Join}($a,b$) 返回\\$a$$b$ 的所有组合};
{
\node [anchor=north west,inner sep=1pt,align=center,draw] (a1) at ([yshift=-0.2em]remark4.north east) {a1\\a2};
\node [anchor=west] (join) at (a1.east) {$\times$};
\node [anchor=north west,inner sep=1pt,align=center,draw] (b1) at ([xshift=1.5em]a1.north east) {b1\\b2};
\node [anchor=west] (join) at (b1.east) {$=$};
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%% end of remark 4
%% remark 5
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{
\node [anchor=north west,align=left] (remark5) at ([xshift=0.0em,yshift=-1.3em]remark4.south west) {\textsc{PruneForTop1}\\保留得分最高的结果};
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% end of remark 5
%% remark 6
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% end of remark 6
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%---------------------------------------------------------------------
%%% outline
%-------------------------------------------------------------------------
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%---------------------------------------------------------------------
%%% outline
%-------------------------------------------------------------------------
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{\scriptsize
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%---------------------------------------------------------------------
%%% outline
%-------------------------------------------------------------------------
\begin{tabular}{| l | l |}
\hline
& {\footnotesize{$\prod\limits_{(j,i) \in \hat{A}} \textrm{P}(s_j,t_i)$} \color{red}{{\footnotesize{$\times\textrm{P}_{lm}(t)$}}}} \\ \hline
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& {\tikz{\node[minimum height=3.2em]{\small{0.0023}{\color{red}\small{$\times$0.0107}}};}} \\
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{\footnotesize
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&{ \tikz{\node[minimum height=3em]{\small{0.0023}{\color{red}\small{$\times$0.0009}}};}}\\
\hline
\end{tabular}
%---------------------------------------------------------------------
%%% outline
%-------------------------------------------------------------------------
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{
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\node [anchor=north west] (label2part9) at ([yshift=0.3em]label2part8.south west) {{7:\quad \textbf{end for} }};
\node [anchor=north west] (label2part10) at ([yshift=0.3em]label2part9.south west) {{8: \textbf{end for} }};
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%---------------------------------------------------------------------
%%% outline
%-------------------------------------------------------------------------
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{
\node [anchor=west,draw,thick,circle,minimum size=1.6em,red,fill=red] (ft1) at ([yshift=-3.5em]t1.west) {};
\node [anchor=west,draw,thick,circle,minimum size=1.6em,ublue,fill=ublue] (ft2) at ([xshift=2.7em]ft1.east) {};
\node [anchor=west,draw,thick,circle,minimum size=1.6em,purple,fill=purple] (ft3) at ([xshift=2.7em]ft2.east) {};
\node [anchor=west,draw,thick,circle,minimum size=1.6em,ugreen,fill=ugreen] (ft4) at ([xshift=2.7em]ft3.east) {};
\node [anchor=west,draw,thick,circle,minimum size=1.6em,orange,fill=orange] (ft5) at ([xshift=2.7em]ft4.east) {};
}
\draw [->,thick,double] ([yshift=-0.1em]sent.south) -- ([yshift=-.8em]sent.south);
{
\draw [->,thick] ([yshift=-0.1em]s1.south) -- ([yshift=0.1em]t1.north);
\draw [->,thick] ([yshift=-0.1em]s2.south) -- ([yshift=0.1em]t2.north);
\draw [->,thick] ([yshift=-0.1em]s3.south) -- ([yshift=0.1em]t3.north);
\draw [->,thick] ([yshift=-0.1em]s4.south) -- ([yshift=0.1em]t4.north);
\draw [->,thick] ([yshift=-0.1em]s5.south) -- ([yshift=0.1em]t5.north);
}
{
\draw [->,thick] ([yshift=-0.1em]t1.south) -- ([yshift=0.1em]ft1.north);
\draw [->,thick] ([yshift=-0.1em]t2.south) -- ([yshift=0.1em]ft4.north);
\draw [->,thick] ([yshift=-0.1em]t3.south) -- ([yshift=0.1em]ft5.north);
\draw [->,thick] ([yshift=-0.1em]t4.south) -- ([yshift=0.1em]ft2.north);
\draw [->,thick] ([yshift=-0.1em]t5.south) -- ([yshift=0.1em]ft3.north);
}
{
\node [anchor=north west] (label1) at ([xshift=1.5em,yshift=0.5em]s5.east) {\textbf{分析}};
\node [anchor=north west] (label2) at ([xshift=1.5em,yshift=0.5em]t5.east) {\textbf{转换}};
\node [anchor=north west] (label3) at ([xshift=1.5em,yshift=0.5em]ft5.east) {\textbf{生成}};
}
\end{tikzpicture}
%---------------------------------------------------------------------
%%% outline
%-------------------------------------------------------------------------
\begin{tikzpicture}
\begin{scope}
{
\node [pos=0.5,left,xshift=-0.5em,yshift=2.0em] (label2) {\footnotesize{{$s^1$ = 机器\quad {\color{red}翻译}\quad\quad\quad\quad 计算机\quad\quad 进行\quad {\color{red}翻译} }}};
\node [anchor=north west] (label2part2) at ([yshift=0.3em]label2.south west) {\footnotesize{{$t^1$ = machine\; {\color{red}translation}\; is\; just\; {\color{red}translation}\; by\; computer }}};
\node [anchor=north west] (label2part3) at ([yshift=0.3em]label2part2.south west) {\footnotesize{{$s^2$ = 那\quad 人工\quad {\color{red}翻译}\quad\quad ? }}};
\node [anchor=north west] (label2part4) at ([yshift=0.3em]label2part3.south west) {\footnotesize{{$t^2$ = so\; what\; is\; human\; {\color{red}translation}\;? }}};
}
\end{scope}
\end{tikzpicture}
%---------------------------------------------------------------------
%%% outline
%-------------------------------------------------------------------------
\begin{tikzpicture}
{\small
\node [anchor=west,inner sep=2pt] (s1) at (0,0) {$s_1$:在};
\node [anchor=west,inner sep=2pt] (s2) at ([xshift=1em]s1.east) {$s_2$:桌子};
\node [anchor=west,inner sep=2pt] (s3) at ([xshift=1em]s2.east) {$s_3$:上};
\node [anchor=north,inner sep=2pt] (t1) at ([yshift=-1.7em]s1.center) {$t_1$:on};
\node [anchor=north,inner sep=2pt] (t2) at ([yshift=-1.6em]s2.center) {$t_2$:the};
\node [anchor=north,inner sep=2pt] (t3) at ([yshift=-1.6em]s3.center) {$t_3$:table};
\node [anchor=east,inner sep=2pt] (t0) at ([xshift=-1.5em]t1.west) {$t_0$};
\draw [-] (s1.south) -- (t0.north);
\draw [-] (s2.south) -- (t3.north);
\draw [-] (s3.south) -- (t1.north);
}
\end{tikzpicture}
%---------------------------------------------------------------------
%%% outline
%-------------------------------------------------------------------------
\begin{tikzpicture}
{
\node [anchor=west,inner sep=2pt] (s1) at (0,0) {$s_1$:在};
\node [anchor=west,inner sep=2pt] (s2) at ([xshift=2em]s1.east) {$s_2$:桌子};
\node [anchor=west,inner sep=2pt] (s3) at ([xshift=2em]s2.east) {$s_3$:上};
\node [anchor=north,inner sep=2pt] (t1) at ([yshift=-2.4em]s1.center) {$t_1$:on};
\node [anchor=north,inner sep=2pt] (t2) at ([yshift=-2.4em]s2.center) {$t_2$:the};
\node [anchor=north,inner sep=2pt] (t3) at ([yshift=-2.4em]s3.center) {$t_3$:table};
\node [anchor=east,inner sep=2pt] (t0) at ([xshift=-2.2em]t1.west) {$t_0$};
\draw [-,dashed,thick] (s1.south) -- (t0.north);
\draw [-,dashed,thick] (s2.south) -- (t3.north);
\draw [-,dashed,thick] (s3.south) -- (t1.north);
}
\begin{pgfonlayer}{background}
{
\path [fill=red!20] (s2.north west) -- (s2.south west) -- (t3.north west) -- (t3.south west) -- (t3.south east) -- (t3.north east) -- (s2.south east) -- (s2.north east) -- (s2.north west);
}
\end{pgfonlayer}
\end{tikzpicture}
%---------------------------------------------------------------------
%%% outline
%-------------------------------------------------------------------------
\begin{tikzpicture}
\begin{scope}
{
\node [pos=0.5,left,xshift=-0.5em,yshift=2.0em] (label2) {\footnotesize{{s = 机器\quad {\color{red}翻译}\quad\quad\quad\quad 计算机\quad\quad 进行\quad {\color{red}翻译} }}};
\node [anchor=north west] (label2part2) at ([yshift=0.3em]label2.south west) {\footnotesize{{t = machine\; {\color{red}translation}\; is\; just\; {\color{red}translation}\; by\; computer }}};
}
\end{scope}
\end{tikzpicture}
%---------------------------------------------------------------------
\begin{center}
%%% outline
%-------------------------------------------------------------------------
{\footnotesize
\definecolor{ublue}{rgb}{0.152,0.250,0.545}
\begin{tikzpicture}
\begin{scope}
\node [anchor=west, font=\normalsize] (s1) at (0,0) {};
\node [anchor=west, font=\normalsize] (s2) at ([xshift=3em]s1.east) {};
\node [anchor=west, font=\normalsize] (s3) at ([xshift=5.6em]s2.east) {};
\node [anchor=west, font=\normalsize] (s4) at ([xshift=5.1em]s3.east) {感到};
\node [anchor=west, font=\normalsize] (s5) at ([xshift=3.1em]s4.east) {满意};
\end{scope}
\begin{scope}[yshift=-7em]
\node [anchor=west, font=\normalsize] (t1) at (0.4em,0) {I};
\node [anchor=west, font=\normalsize] (t2) at ([xshift=3.5em,yshift=-0.1em]t1.east) {am};
\node [anchor=west, font=\normalsize] (t3) at ([xshift=3.5em,yshift=0.1em]t2.east) {satisfied};
\node [anchor=west, font=\normalsize] (t4) at ([xshift=3.5em]t3.east) {with};
\node [anchor=west, font=\normalsize] (t5) at ([xshift=3.5em,yshift=-0.2em]t4.east) {you};
\end{scope}
{
\draw [-,very thick,ublue,dashed] (s1.south) -- (t1.north);
\draw [-,very thick,ublue,dashed] (s4.south) -- ([yshift=0.3em]t2.north);
\draw [-,very thick,ublue,dashed] (s2.south) ..controls +(south:1em) and +(north:1em).. (t4.north);
\draw [-,very thick,ublue,dashed] (s3.south) ..controls +(south:0.5em) and +(north:1.5em).. (t5.north);
\draw [-,very thick,ublue,dashed] (s5.south) -- (t3.north);
}
\end{tikzpicture}
}
%---------------------------------------------------------------------
\end{center}
%%% outline
%-------------------------------------------------------------------------
\begin{tikzpicture}
\begin{scope}
\node [anchor=west] (s1) at (0,0) {$_1$};
\node [anchor=west] (s2) at ([xshift=3em]s1.east) {$_2$};
\node [anchor=west] (s3) at ([xshift=4.6em]s2.east) {$_3$};
\node [anchor=west] (s4) at ([xshift=5.1em]s3.east) {感到$_4$};
\node [anchor=west] (s5) at ([xshift=3.1em]s4.east) {满意$_5$};
\node [anchor=east] (s) at (s1.west) {$s=$};
\end{scope}
\begin{scope}[yshift=-7.0em]
\node [anchor=west] (t1) at (0.4em,0) {I$_1$};
\node [anchor=west] (t2) at ([xshift=3.5em,yshift=-0.1em]t1.east) {am$_2$};
\node [anchor=west] (t3) at ([xshift=3.5em,yshift=0.1em]t2.east) {satisfied$_3$};
\node [anchor=west] (t4) at ([xshift=3.5em]t3.east) {with$_4$};
\node [anchor=west] (t5) at ([xshift=3.5em,yshift=-0.2em]t4.east) {you$_5$};
\node [anchor=east] (t) at ([xshift=-0.3em]t1.west) {$t=$};
\end{scope}
\draw [-,thick,ublue,dashed] (s1.south) -- (t1.north);
\draw [-,thick,ublue,dashed] (s4.south) -- ([yshift=0.3em]t2.north);
\draw [-,thick,ublue,dashed] (s2.south) ..controls +(south:1em) and +(north:1em).. (t4.north);
\draw [-,thick,ublue,dashed] (s3.south) ..controls +(south:0.5em) and +(north:1.5em).. (t5.north);
\draw [-,thick,ublue,dashed] (s5.south) -- (t3.north);
\end{tikzpicture}
%---------------------------------------------------------------------
\def\CTeXPreproc{Created by ctex v0.2.13, don't edit!}
\documentclass[cjk,t,compress,12pt]{standalone}
%\documentclass{article}
%\usepackage{beamerarticle}
\usepackage{pstricks}
\usepackage{etex}
\usepackage{eso-pic,graphicx}
\usepackage{fancybox}
\usepackage{amsmath,amssymb}
\usepackage{setspace}
\usepackage{xcolor}
\usepackage{CJK}
\usepackage{tikz}
\usepackage{tikz-qtree}
\usepackage{hyperref}
\usetikzlibrary{arrows,decorations.pathreplacing}
\usetikzlibrary{shadows} % LATEX and plain TEX when using Tik Z
\usepgflibrary{arrows} % LATEX and plain TEX and pure pgf
\usetikzlibrary{arrows} % LATEX and plain TEX when using Tik Z
\usetikzlibrary{decorations}
\usetikzlibrary{arrows,shapes}
\usetikzlibrary{decorations.text}
\usetikzlibrary{positioning,fit,calc}
\usetikzlibrary{mindmap,backgrounds} % mind map
\DeclareMathOperator*{\argmax}{arg\,max}
\DeclareMathOperator*{\argmin}{arg\,min}
\definecolor{ublue}{rgb}{0.152,0.250,0.545}
\definecolor{ugreen}{rgb}{0,0.5,0}
\begin{document}
\begin{CJK}{UTF8}{you}
%%% outline
%-------------------------------------------------------------------------
\begin{tikzpicture}
{\footnotesize
\node [anchor=west] (mid) at (0,0) {$\alpha(1,0)\alpha(2,0) + \alpha(1,0)\alpha(2,1) + \alpha(1,0)\alpha(2,2) +$};
\node [anchor=west] (mid2) at ([yshift=-2em]mid.west) {$\alpha(1,1)\alpha(2,0) + \alpha(1,1)\alpha(2,1) + \alpha(1,1)\alpha(2,2)+$};
\node [anchor=west] (mid3) at ([yshift=-2em]mid2.west) {$\alpha(1,2)\alpha(2,0) + \alpha(1,2)\alpha(2,1) + \alpha(1,2)\alpha(2,2)$};
}
\begin{pgfonlayer}{background}
\node[rectangle,draw=ublue,red,inner sep=0.1em,fill=white] [fit = (mid) (mid2) (mid3)] (exampleeq) {};
\end{pgfonlayer}
{\footnotesize
{
\node [anchor=north] (eq1) at ([xshift=2em,yshift=-2em]exampleeq.south west) {$\sum\limits_{y_1=0}^{2} \sum\limits_{y_2=0}^{2} \alpha(1,y_1)\alpha(2,y_2)$};
\node [anchor=west] (eq1part2) at ([xshift=-1em,yshift=-3em]eq1.west) {$=$};
\node [anchor=west] (eq1part3) at ([xshift=-0.5em]eq1part2.east) {$\sum\limits_{y_1=0}^{2} \sum\limits_{y_2=0}^{2} \prod\limits_{x=1}^{2} $};
\node [anchor=west,inner sep=2pt] (eq1part4) at ([xshift=-0.3em]eq1part3.east) {$\alpha(x,y_x)$};
}
{
\node [anchor=north] (eq2) at ([xshift=-2em,yshift=-2em]exampleeq.south east) {$(\alpha(1,0)+\alpha(1,1)+\alpha(1,2))\cdot$};
\node [anchor=west] (eq2part2) at ([yshift=-1.5em]eq2.west) {$(\alpha(2,0)+\alpha(2,1)+\alpha(2,2))$};
\node [anchor=west] (eq2part3) at ([xshift=2.1in]eq1part2.east){$=$};
\node [anchor=west] (eq2part4) at ([xshift=-0.5em]eq2part3.east){$\prod\limits_{x=1}^{2} \sum\limits_{y=0}^{2}$};
\node [anchor=west,inner sep=2pt] (eq2part5) at ([xshift=-0.3em]eq2part4.east){$\alpha(x,y)$};
}
}
\begin{pgfonlayer}{background}
{
\node[rectangle,draw=ublue,red,inner sep=0.1em,fill=white] [fit = (eq1) (eq1part2) (eq1part3)] (eq1full) {};
}
{
\node[rectangle,draw=ublue,red,inner sep=0.1em,fill=white] [fit = (eq2) (eq2part2) (eq2part3) (eq2part4)] (eq2full) {};
}
\end{pgfonlayer}
{
\draw [->,thick] ([xshift=-3em]exampleeq.south) .. controls +(south:1.5em) and +(north:1.5em) .. (eq1full.north);
}
{
\draw [->,thick] ([xshift=3em]exampleeq.south) .. controls +(south:1.5em) and +(north:1.5em) .. (eq2full.north);
}
{
\node [anchor=west] at ([xshift=0.7em]eq1full.east) {\LARGE{\textbf{=}}};
}
{
{\large
\node [anchor=west] (feq) at ([xshift=3em,yshift=-3em]eq1full.south west) {$\sum\limits_{a_1=0}^{l} ... \sum\limits_{a_m=0}^{l} \prod\limits_{j=1}^{m}$};
\node [anchor=west,inner sep=2pt,fill=blue!20] (feqpart2) at ([xshift=-0.3em]feq.east) {$f(s_j|t_{a_j})$};
\node [anchor=west,inner sep=1pt] (feqpart3) at (feqpart2.east) {=};
\node [anchor=west] (feqpart4) at (feqpart3.east) {$\prod\limits_{j=1}^{m} \sum\limits_{i=0}^{l}$};
\node [anchor=west,inner sep=2pt,fill=blue!20] (feqpart5) at ([xshift=-0.3em]feqpart4.east) {$f(s_j|t_i)$};
}
\draw [->,thick] (eq1part4.south) .. controls +(south:2.5em) and +(north:2.5em) .. (feqpart2.north);
\draw [->,thick] (eq2part5.south) .. controls +(south:1.5em) and +(north:1.5em) .. (feqpart5.north);
\node [anchor=west,inner sep=2pt,fill=blue!20] (eq1part4) at ([xshift=-0.3em]eq1part3.east) {\footnotesize{$\alpha(x,y_x)$}};
\node [anchor=west,inner sep=2pt,fill=blue!20] (eq2part5) at ([xshift=-0.3em]eq2part4.east){\footnotesize{$\alpha(x,y)$}};
}
\end{tikzpicture}
%---------------------------------------------------------------------
\end{CJK}
\end{document}
\begin{center}
%%% outline
%-------------------------------------------------------------------------
{\footnotesize
\definecolor{ublue}{rgb}{0.152,0.250,0.545}
\begin{tikzpicture}
\begin{scope}
\node [anchor=west] (s1) at (0,0) {};
\node [anchor=west] (s2) at ([xshift=0.8em]s1.east) {};
\node [anchor=west] (s3) at ([xshift=0.8em]s2.east) {};
\node [anchor=west] (s4) at ([xshift=0.8em]s3.east) {感到};
\node [anchor=west] (s5) at ([xshift=0.8em]s4.east) {满意};
\end{scope}
\begin{scope}[yshift=-3em]
\node [anchor=west] (t1) at (0.35em,0) {I};
\node [anchor=west] (t2) at ([xshift=0.5em,yshift=-0.1em]t1.east) {am};
\node [anchor=west] (t3) at ([xshift=0.5em,yshift=0.1em]t2.east) {satisfied};
\node [anchor=west] (t4) at ([xshift=0.5em]t3.east) {with};
\node [anchor=west] (t5) at ([xshift=0.5em,yshift=-0.2em]t4.east) {you};
\end{scope}
{
\draw [-,thick,ublue,dashed] (s1.south) -- (t1.north);
\draw [-,thick,ublue,dashed] (s4.south) -- ([yshift=0.3em]t2.north);
\draw [-,thick,ublue,dashed] (s2.south) ..controls +(south:1em) and +(north:1em).. (t4.north);
\draw [-,thick,ublue,dashed] (s3.south) ..controls +(south:0.5em) and +(north:1.5em).. (t5.north);
\draw [-,thick,ublue,dashed] (s5.south) -- (t3.north);
}
\end{tikzpicture}
}
%---------------------------------------------------------------------
\end{center}
......@@ -6,20 +6,20 @@
\begin{tikzpicture}
\begin{scope}
\node [anchor=west] (s1) at (0,0) {$_1$};
\node [anchor=west] (s2) at ([xshift=3em]s1.east) {$_2$};
\node [anchor=west] (s3) at ([xshift=4.6em]s2.east) {$_3$};
\node [anchor=west] (s4) at ([xshift=5.1em]s3.east) {感到$_4$};
\node [anchor=west] (s5) at ([xshift=3.1em]s4.east) {满意$_5$};
\node [anchor=west] (s1) at (0,0) {\footnotesize{$_1$}};
\node [anchor=west] (s2) at ([xshift=0.5em]s1.east) {\footnotesize{$_2$}};
\node [anchor=west] (s3) at ([xshift=0.5em]s2.east) {\footnotesize{$_3$}};
\node [anchor=west] (s4) at ([xshift=0.5em]s3.east) {感到\footnotesize{$_4$}};
\node [anchor=west] (s5) at ([xshift=0.5em]s4.east) {满意\footnotesize{$_5$}};
\node [anchor=east] (s) at (s1.west) {$s=$};
\end{scope}
\begin{scope}[yshift=-7.0em]
\node [anchor=west] (t1) at (0.4em,0) {I$_1$};
\node [anchor=west] (t2) at ([xshift=3.5em,yshift=-0.1em]t1.east) {am$_2$};
\node [anchor=west] (t3) at ([xshift=3.5em,yshift=0.1em]t2.east) {satisfied$_3$};
\node [anchor=west] (t4) at ([xshift=3.5em]t3.east) {with$_4$};
\node [anchor=west] (t5) at ([xshift=3.5em,yshift=-0.2em]t4.east) {you$_5$};
\begin{scope}[yshift=-3.0em]
\node [anchor=west] (t1) at (0.35em,0) {I\footnotesize{$_1$}};
\node [anchor=west] (t2) at ([xshift=0.3em,yshift=-0.1em]t1.east) {am\footnotesize{$_2$}};
\node [anchor=west] (t3) at ([xshift=0.3em,yshift=0.1em]t2.east) {satisfied\footnotesize{$_3$}};
\node [anchor=west] (t4) at ([xshift=0.3em]t3.east) {with\footnotesize{$_4$}};
\node [anchor=west] (t5) at ([xshift=0.3em,yshift=-0.2em]t4.east) {you\footnotesize{$_5$}};
\node [anchor=east] (t) at ([xshift=-0.3em]t1.west) {$t=$};
\end{scope}
......
......@@ -14,21 +14,21 @@
{\footnotesize
\begin{scope}
\node [anchor=west] (s1) at (0,0) {$_1$};
\node [anchor=west] (s2) at ([xshift=2.2em]s1.east) {$_2$};
\node [anchor=west] (s3) at ([xshift=3.2em]s2.east) {$_3$};
\node [anchor=west] (s4) at ([xshift=3.6em]s3.east) {感到$_4$};
\node [anchor=west] (s5) at ([xshift=1.9em]s4.east) {满意$_5$};
\node [anchor=west] (s1) at (0,0) {\footnotesize{$_1$}};
\node [anchor=west] (s2) at ([xshift=0.5em]s1.east) {\footnotesize{$_2$}};
\node [anchor=west] (s3) at ([xshift=0.5em]s2.east) {\footnotesize{$_3$}};
\node [anchor=west] (s4) at ([xshift=0.5em]s3.east) {感到\footnotesize{$_4$}};
\node [anchor=west] (s5) at ([xshift=0.5em]s4.east) {满意\footnotesize{$_5$}};
\node [anchor=east] (s) at (s1.west) {$s=$};
\end{scope}
\begin{scope}[yshift=-3.6em]
\node [anchor=west] (t1) at (0.35em,0) {I$_1$};
\node [anchor=west] (t2) at ([xshift=2.3em,yshift=-0.1em]t1.east) {am$_2$};
\node [anchor=west] (t3) at ([xshift=2.3em,yshift=0.1em]t2.east) {satisfied$_3$};
\node [anchor=west] (t4) at ([xshift=2.3em]t3.east) {with$_4$};
\node [anchor=west] (t5) at ([xshift=2.3em,yshift=-0.2em]t4.east) {you$_5$};
\node [anchor=east] (t) at (t1.west) {$t'=$};
\begin{scope}[yshift=-2.6em]
\node [anchor=west] (t1) at (0.35em,0) {I\footnotesize{$_1$}};
\node [anchor=west] (t2) at ([xshift=0.3em,yshift=-0.1em]t1.east) {am\footnotesize{$_2$}};
\node [anchor=west] (t3) at ([xshift=0.3em,yshift=0.1em]t2.east) {satisfied\footnotesize{$_3$}};
\node [anchor=west] (t4) at ([xshift=0.3em]t3.east) {with\footnotesize{$_4$}};
\node [anchor=west] (t5) at ([xshift=0.3em,yshift=-0.2em]t4.east) {you\footnotesize{$_5$}};
\node [anchor=east] (t) at ([xshift=-0.3em]t1.west) {$t'=$};
\end{scope}
......@@ -51,20 +51,20 @@
{\footnotesize
\begin{scope}
\node [anchor=west] (s1) at (0,0) {$_1$};
\node [anchor=west] (s2) at ([xshift=2.5em]s1.east) {$_2$};
\node [anchor=west] (s3) at ([xshift=2.5em]s2.east) {$_3$};
\node [anchor=west] (s4) at ([xshift=2.5em]s3.east) {感到$_4$};
\node [anchor=west] (s5) at ([xshift=2.5em]s4.east) {满意$_5$};
\node [anchor=west] (s1) at (0,0) {\footnotesize{$_1$}};
\node [anchor=west] (s2) at ([xshift=0.5em]s1.east) {\footnotesize{$_2$}};
\node [anchor=west] (s3) at ([xshift=0.5em]s2.east) {\footnotesize{$_3$}};
\node [anchor=west] (s4) at ([xshift=0.5em]s3.east) {感到\footnotesize{$_4$}};
\node [anchor=west] (s5) at ([xshift=0.5em]s4.east) {满意\footnotesize{$_5$}};
\node [anchor=east] (s) at (s1.west) {$s=$};
\end{scope}
\begin{scope}[yshift=-3.6em]
\node [anchor=center] (t1) at ([yshift=-1.6em]s1.south) {I$_1$};
\node [anchor=center] (t2) at ([yshift=-1.6em]s2.south) {with$_2$};
\node [anchor=center] (t3) at ([yshift=-1.7em]s3.south) {you$_3$};
\node [anchor=center] (t4) at ([yshift=-1.7em]s4.south) {am$_4$};
\node [anchor=center] (t5) at ([yshift=-1.6em]s5.south) {satisfied$_5$};
\begin{scope}[yshift=-2.6em]
\node [anchor=center] (t1) at ([yshift=-1.6em]s1.south) {I\footnotesize{$_1$}};
\node [anchor=center] (t2) at ([yshift=-1.6em]s2.south) {with\footnotesize{$_2$}};
\node [anchor=center] (t3) at ([yshift=-1.7em]s3.south) {you\footnotesize{$_3$}};
\node [anchor=center] (t4) at ([yshift=-1.7em]s4.south) {am\footnotesize{$_4$}};
\node [anchor=center] (t5) at ([yshift=-1.6em]s5.south) {satisfied\footnotesize{$_5$}};
\node [anchor=center] (t) at ([xshift=-1.3em]t1.west) {$t''=$};
\end{scope}
......
......@@ -10,21 +10,21 @@
{\footnotesize
\begin{scope}
\node [anchor=west] (s1) at (0,0) {$_1$};
\node [anchor=west] (s2) at ([xshift=2.2em]s1.east) {$_2$};
\node [anchor=west] (s3) at ([xshift=3.2em]s2.east) {$_3$};
\node [anchor=west] (s4) at ([xshift=3.6em]s3.east) {感到$_4$};
\node [anchor=west] (s5) at ([xshift=1.9em]s4.east) {满意$_5$};
\node [anchor=west] (s1) at (0,0) {\footnotesize{$_1$}};
\node [anchor=west] (s2) at ([xshift=0.5em]s1.east) {\footnotesize{$_2$}};
\node [anchor=west] (s3) at ([xshift=0.5em]s2.east) {\footnotesize{$_3$}};
\node [anchor=west] (s4) at ([xshift=0.5em]s3.east) {感到\footnotesize{$_4$}};
\node [anchor=west] (s5) at ([xshift=0.5em]s4.east) {满意\footnotesize{$_5$}};
\node [anchor=east] (s) at (s1.west) {$s=$};
\end{scope}
\begin{scope}[yshift=-3.6em]
\node [anchor=west] (t1) at (0.35em,0) {I$_1$};
\node [anchor=west] (t2) at ([xshift=2.3em,yshift=-0.1em]t1.east) {am$_2$};
\node [anchor=west] (t3) at ([xshift=2.3em,yshift=0.1em]t2.east) {satisfied$_3$};
\node [anchor=west] (t4) at ([xshift=2.3em]t3.east) {with$_4$};
\node [anchor=west] (t5) at ([xshift=2.3em,yshift=-0.2em]t4.east) {you$_5$};
\node [anchor=east] (t) at (t1.west) {$t'=$};
\begin{scope}[yshift=-2.6em]
\node [anchor=west] (t1) at (0.35em,0) {I\footnotesize{$_1$}};
\node [anchor=west] (t2) at ([xshift=0.3em,yshift=-0.1em]t1.east) {am\footnotesize{$_2$}};
\node [anchor=west] (t3) at ([xshift=0.3em,yshift=0.1em]t2.east) {satisfied\footnotesize{$_3$}};
\node [anchor=west] (t4) at ([xshift=0.3em]t3.east) {with\footnotesize{$_4$}};
\node [anchor=west] (t5) at ([xshift=0.3em,yshift=-0.2em]t4.east) {you\footnotesize{$_5$}};
\node [anchor=east] (t) at ([xshift=-0.3em]t1.west) {$t'=$};
\end{scope}
......@@ -47,20 +47,20 @@
{\footnotesize
\begin{scope}
\node [anchor=west] (s1) at (0,0) {$_1$};
\node [anchor=west] (s2) at ([xshift=2.5em]s1.east) {$_2$};
\node [anchor=west] (s3) at ([xshift=2.5em]s2.east) {$_3$};
\node [anchor=west] (s4) at ([xshift=2.5em]s3.east) {感到$_4$};
\node [anchor=west] (s5) at ([xshift=2.5em]s4.east) {满意$_5$};
\node [anchor=west] (s1) at (0,0) {\footnotesize{$_1$}};
\node [anchor=west] (s2) at ([xshift=0.5em]s1.east) {\footnotesize{$_2$}};
\node [anchor=west] (s3) at ([xshift=0.5em]s2.east) {\footnotesize{$_3$}};
\node [anchor=west] (s4) at ([xshift=0.5em]s3.east) {感到\footnotesize{$_4$}};
\node [anchor=west] (s5) at ([xshift=0.5em]s4.east) {满意\footnotesize{$_5$}};
\node [anchor=east] (s) at (s1.west) {$s=$};
\end{scope}
\begin{scope}[yshift=-3.6em]
\node [anchor=center] (t1) at ([yshift=-1.6em]s1.south) {I$_1$};
\node [anchor=center] (t2) at ([yshift=-1.6em]s2.south) {with$_2$};
\node [anchor=center] (t3) at ([yshift=-1.7em]s3.south) {you$_3$};
\node [anchor=center] (t4) at ([yshift=-1.7em]s4.south) {am$_4$};
\node [anchor=center] (t5) at ([yshift=-1.6em]s5.south) {satisfied$_5$};
\begin{scope}[yshift=-2.6em]
\node [anchor=center] (t1) at ([yshift=-1.6em]s1.south) {I\footnotesize{$_1$}};
\node [anchor=center] (t2) at ([yshift=-1.6em]s2.south) {with\footnotesize{$_2$}};
\node [anchor=center] (t3) at ([yshift=-1.7em]s3.south) {you\footnotesize{$_3$}};
\node [anchor=center] (t4) at ([yshift=-1.7em]s4.south) {am\footnotesize{$_4$}};
\node [anchor=center] (t5) at ([yshift=-1.6em]s5.south) {satisfied\footnotesize{$_5$}};
\node [anchor=center] (t) at ([xshift=-1.3em]t1.west) {$t''=$};
\end{scope}
......
......@@ -5,14 +5,14 @@
\definecolor{ugreen}{rgb}{0,0.5,0}
\definecolor{ublue}{rgb}{0.152,0.250,0.545}
\node [anchor=west,inner sep=2pt,fill=red!20,thick,minimum width=3.6em,minimum height=0.8em] (s1) at (0,0) {$\phi$};
\node [anchor=west,draw,thick,minimum width=3.6em,minimum height=0.8em] (s1) at (0,0) {$\phi$};
{%第一列
\node [anchor=north west] (label1) at ([xshift=2.5em,yshift=6.3em]s1.east) {{\scriptsize \textbf{第1步}}};
\node [anchor=west,inner sep=2pt,fill=green!20,thick,minimum width=3.6em,minimum height=0.8em] (s21) at ([xshift=2.0em,yshift=3.5em]s1.east) {$w_1^1$};
\node [anchor=west,inner sep=2pt,fill=green!20,thick,minimum width=3.6em,minimum height=0.8em] (s22) at ([xshift=2.0em,yshift=0.0em]s1.east) {$w_2^1$};
\node [anchor=west,draw,thick,minimum width=3.6em,minimum height=0.8em] (s21) at ([xshift=2.0em,yshift=3.5em]s1.east) {$w_1^1$};
\node [anchor=west,draw,thick,minimum width=3.6em,minimum height=0.8em] (s22) at ([xshift=2.0em,yshift=0.0em]s1.east) {$w_2^1$};
\node [anchor=west] (s23) at ([xshift=3.3em,yshift=-3.2em]s1.east) {$\vdots$};
\node [anchor=west,inner sep=2pt,fill=green!20,thick,minimum width=3.6em,minimum height=0.8em] (s24) at ([xshift=2.0em,yshift=-7.0em]s1.east) {\scriptsize{$w_{m \bullet n}^1$}};
\node [anchor=west,draw,thick,minimum width=3.6em,minimum height=0.8em] (s24) at ([xshift=2.0em,yshift=-7.0em]s1.east) {\scriptsize{$w_{m \bullet n}^1$}};
}
{
\draw [->,thick] ([yshift=0.0em]s1.east) -- ([yshift=0.0em]s21.west);
......@@ -23,10 +23,10 @@
{%第二列
\node [anchor=north west] (label2) at ([xshift=9.3em,yshift=6.3em]s1.east) {{\scriptsize \textbf{第2步}}};
\node [anchor=west,inner sep=2pt,fill=blue!20,thick,minimum width=3.6em,minimum height=0.8em] (s31) at ([xshift=8.8em,yshift=3.5em]s1.east) {$w_1^2$};
\node [anchor=west,inner sep=2pt,fill=blue!20,thick,minimum width=3.6em,minimum height=0.8em] (s32) at ([xshift=8.8em,yshift=0.0em]s1.east) {$w_2^2$};
\node [anchor=west,draw,thick,minimum width=3.6em,minimum height=0.8em] (s31) at ([xshift=8.8em,yshift=3.5em]s1.east) {$w_1^2$};
\node [anchor=west,draw,thick,minimum width=3.6em,minimum height=0.8em] (s32) at ([xshift=8.8em,yshift=0.0em]s1.east) {$w_2^2$};
\node [anchor=west] (s33) at ([xshift=10.1em,yshift=-3.2em]s1.east) {$\vdots$};
\node [anchor=west,inner sep=2pt,fill=blue!20,thick,minimum width=3.6em,minimum height=0.8em] (s34) at ([xshift=8.8em,yshift=-7.0em]s1.east) {\tiny{$w_{(m-1) \bullet n}^2$}};
\node [anchor=west,draw,thick,minimum width=3.6em,minimum height=0.8em] (s34) at ([xshift=8.8em,yshift=-7.0em]s1.east) {\tiny{$w_{(m-1) \bullet n}^2$}};
}
{
\draw [->,thick] ([yshift=0.0em]s21.east) -- ([yshift=0.0em]s31.west);
......@@ -79,10 +79,10 @@
{%第四列
\node [anchor=north west] (label3) at ([xshift=19.4em,yshift=6.3em]s1.east) {{\scriptsize \textbf{第m步}}};
\node [anchor=west,inner sep=2pt,fill=orange!20,thick,minimum width=3.6em,minimum height=0.8em] (s51) at ([xshift=19.0em,yshift=3.5em]s1.east) {$w_1^m$};
\node [anchor=west,inner sep=2pt,fill=orange!20,thick,minimum width=3.6em,minimum height=0.8em] (s52) at ([xshift=19.0em,yshift=0.0em]s1.east) {$w_2^m$};
\node [anchor=west,inner sep=2pt,fill=orange!20,thick,minimum width=3.6em,minimum height=0.8em] (s53) at ([xshift=19.0em,yshift=-3.5em]s1.east) {$w_{?}^{m}$};
\node [anchor=west,inner sep=2pt,fill=orange!20,thick,minimum width=3.6em,minimum height=0.8em] (s54) at ([xshift=19.0em,yshift=-7.0em]s1.east) {\scriptsize{$w_{1 \bullet n}^m$}};
\node [anchor=west,draw,thick,minimum width=3.6em,minimum height=0.8em] (s51) at ([xshift=19.0em,yshift=3.5em]s1.east) {$w_1^m$};
\node [anchor=west,draw,thick,minimum width=3.6em,minimum height=0.8em] (s52) at ([xshift=19.0em,yshift=0.0em]s1.east) {$w_2^m$};
\node [anchor=west,draw,thick,minimum width=3.6em,minimum height=0.8em] (s53) at ([xshift=19.0em,yshift=-3.5em]s1.east) {$w_{?}^{m}$};
\node [anchor=west,draw,thick,minimum width=3.6em,minimum height=0.8em] (s54) at ([xshift=19.0em,yshift=-7.0em]s1.east) {\scriptsize{$w_{1 \bullet n}^m$}};
\draw [->,thick] ([yshift=0.0em]s41.east) -- ([yshift=0.0em]s51.west);
\draw [->,thick] ([yshift=0.0em]s42.east) -- ([yshift=0.0em]s52.west);
......
%%% outline
%-------------------------------------------------------------------------
\begin{tabular}{l | l | l}
句子长度$m$ & 单词翻译候选数量$n$ & 译文数量$n^m \cdot m!$ \\ \hline
1 & 1 & 1 \\
1 & 10 & 10 \\
2 & 10 & 200 \\
10 & 10 & 36288000000000000 \\
20 & 10 & 2.43290200817664 $\times 10^{38}$ \\
20 & 30 & 8.48300477127188 $\times 10^{47}$ \\
\end{tabular}
%---------------------------------------------------------------------
......@@ -6,14 +6,14 @@
\definecolor{ugreen}{rgb}{0,0.5,0}
\definecolor{ublue}{rgb}{0.152,0.250,0.545}
\node [anchor=west,inner sep=2pt,fill=red!20,thick,minimum width=3.6em,minimum height=0.8em] (s1) at (0,0) {$\phi$};
\node [anchor=west,draw,thick,minimum width=3.6em,minimum height=0.8em] (s1) at (0,0) {$\phi$};
{%第一列
\node [anchor=north west] (label1) at ([xshift=2.5em,yshift=6.3em]s1.east) {{\scriptsize \textbf{第1步}}};
\node [anchor=west,inner sep=2pt,fill=green!20,thick,minimum width=3.6em,minimum height=0.8em] (s21) at ([xshift=2.0em,yshift=3.5em]s1.east) {$w_1^1$};
\node [anchor=west,inner sep=2pt,fill=green!20,thick,minimum width=3.6em,minimum height=0.8em] (s22) at ([xshift=2.0em,yshift=0.0em]s1.east) {$w_2^1$};
\node [anchor=west,draw,thick,minimum width=3.6em,minimum height=0.8em] (s21) at ([xshift=2.0em,yshift=3.5em]s1.east) {$w_1^1$};
\node [anchor=west,draw,thick,minimum width=3.6em,minimum height=0.8em] (s22) at ([xshift=2.0em,yshift=0.0em]s1.east) {$w_2^1$};
\node [anchor=west] (s23) at ([xshift=3.3em,yshift=-3.2em]s1.east) {$\vdots$};
\node [anchor=west,inner sep=2pt,fill=green!20,thick,minimum width=3.6em,minimum height=0.8em] (s24) at ([xshift=2.0em,yshift=-7.0em]s1.east) {\scriptsize{$w_{m \bullet n}^1$}};
\node [anchor=west,draw,thick,minimum width=3.6em,minimum height=0.8em] (s24) at ([xshift=2.0em,yshift=-7.0em]s1.east) {\scriptsize{$w_{m \bullet n}^1$}};
}
{
\draw [->,thick,red] ([yshift=0.0em]s1.east) -- ([yshift=0.0em]s21.west);
......@@ -24,10 +24,10 @@
{%第二列
\node [anchor=north west] (label2) at ([xshift=9.3em,yshift=6.3em]s1.east) {{\scriptsize \textbf{第2步}}};
\node [anchor=west,inner sep=2pt,fill=blue!20,thick,minimum width=3.6em,minimum height=0.8em] (s31) at ([xshift=8.8em,yshift=3.5em]s1.east) {$w_1^2$};
\node [anchor=west,inner sep=2pt,fill=blue!20,thick,minimum width=3.6em,minimum height=0.8em] (s32) at ([xshift=8.8em,yshift=0.0em]s1.east) {$w_2^2$};
\node [anchor=west,draw,thick,minimum width=3.6em,minimum height=0.8em] (s31) at ([xshift=8.8em,yshift=3.5em]s1.east) {$w_1^2$};
\node [anchor=west,draw,thick,minimum width=3.6em,minimum height=0.8em] (s32) at ([xshift=8.8em,yshift=0.0em]s1.east) {$w_2^2$};
\node [anchor=west] (s33) at ([xshift=10.1em,yshift=-3.2em]s1.east) {$\vdots$};
\node [anchor=west,inner sep=2pt,fill=blue!20,thick,minimum width=3.6em,minimum height=0.8em] (s34) at ([xshift=8.8em,yshift=-7.0em]s1.east) {\tiny{$w_{(m-1) \bullet n}^2$}};
\node [anchor=west,draw,thick,minimum width=3.6em,minimum height=0.8em] (s34) at ([xshift=8.8em,yshift=-7.0em]s1.east) {\tiny{$w_{(m-1) \bullet n}^2$}};
}
{
\draw [->,thick,densely dashed] ([yshift=0.0em]s21.east) -- ([yshift=0.0em]s31.west);
......@@ -51,10 +51,10 @@
{%第四列
\node [anchor=north west] (label3) at ([xshift=19.4em,yshift=6.3em]s1.east) {{\scriptsize \textbf{第m步}}};
\node [anchor=west,inner sep=2pt,fill=orange!20,thick,minimum width=3.6em,minimum height=0.8em] (s51) at ([xshift=19.0em,yshift=3.5em]s1.east) {$w_1^m$};
\node [anchor=west,inner sep=2pt,fill=orange!20,thick,minimum width=3.6em,minimum height=0.8em] (s52) at ([xshift=19.0em,yshift=0.0em]s1.east) {$w_2^m$};
\node [anchor=west,inner sep=2pt,fill=orange!20,thick,minimum width=3.6em,minimum height=0.8em] (s53) at ([xshift=19.0em,yshift=-3.5em]s1.east) {$w_{?}^{m}$};
\node [anchor=west,inner sep=2pt,fill=orange!20,thick,minimum width=3.6em,minimum height=0.8em] (s54) at ([xshift=19.0em,yshift=-7.0em]s1.east) {\scriptsize{$w_{1 \bullet n}^m$}};
\node [anchor=west,draw,thick,minimum width=3.6em,minimum height=0.8em] (s51) at ([xshift=19.0em,yshift=3.5em]s1.east) {$w_1^m$};
\node [anchor=west,draw,thick,minimum width=3.6em,minimum height=0.8em] (s52) at ([xshift=19.0em,yshift=0.0em]s1.east) {$w_2^m$};
\node [anchor=west,draw,thick,minimum width=3.6em,minimum height=0.8em] (s53) at ([xshift=19.0em,yshift=-3.5em]s1.east) {$w_{?}^{m}$};
\node [anchor=west,draw,thick,minimum width=3.6em,minimum height=0.8em] (s54) at ([xshift=19.0em,yshift=-7.0em]s1.east) {\scriptsize{$w_{1 \bullet n}^m$}};
\draw [->,thick,densely dashed] ([yshift=0.0em]s41.east) -- ([yshift=0.0em]s51.west);
\draw [->,thick,densely dashed] ([yshift=0.0em]s42.east) -- ([yshift=0.0em]s52.west);
......
......@@ -5,7 +5,7 @@
\begin{tikzpicture}
{
{\scriptsize
\node [anchor=north west,inner sep=2pt,align=left] (line1) at (0,0) {\textrm{\textbf{Function} \textsc{WordDecoding}($s$)}};
\node [anchor=north west,inner sep=2pt,align=left] (line2) at ([yshift=-1pt]line1.south west) {\textrm{1: $\pi = $\textsc{GetTransOptions}($s$)}};
......@@ -30,43 +30,43 @@
%% highlights
%\begin{pgfonlayer}{background}
{
\node[anchor=west,fill=blue!20,minimum height=0.16in,minimum width=2.21in] (line2highlight) at (line2.west) {};
\node[anchor=west,fill=blue!20,minimum height=0.16in,minimum width=1.71in] (line2highlight) at (line2.west) {};
}
{
\node[anchor=west,fill=blue!20,minimum height=0.16in,minimum width=2.21in] (line3highlight) at (line3.west) {};
\node[anchor=west,fill=blue!20,minimum height=0.16in,minimum width=2.21in] (line5highlight) at (line5.west) {};
\node[anchor=west,fill=blue!20,minimum height=0.16in,minimum width=1.71in] (line3highlight) at (line3.west) {};
\node[anchor=west,fill=blue!20,minimum height=0.16in,minimum width=1.71in] (line5highlight) at (line5.west) {};
}
{
\node[anchor=west,fill=blue!20,minimum height=0.16in,minimum width=2.21in] (line8highlight) at (line8.west) {};
\node[anchor=west,fill=blue!20,minimum height=0.16in,minimum width=1.71in] (line8highlight) at (line8.west) {};
}
{
\node[anchor=west,fill=blue!20,minimum height=0.16in,minimum width=2.21in] (line9highlight) at (line9.west) {};
\node[anchor=west,fill=blue!20,minimum height=0.16in,minimum width=1.71in] (line9highlight) at (line9.west) {};
}
{
\node[anchor=west,fill=blue!20,minimum height=0.16in,minimum width=2.21in] (line10highlight) at (line10.west) {};
\node[anchor=west,fill=blue!20,minimum height=0.16in,minimum width=1.71in] (line10highlight) at (line10.west) {};
}
%\end{pgfonlayer}
\end{pgfonlayer}
{
{\footnotesize
%% remark 1
\begin{scope}
{
\node [anchor=north west,align=left] (remark1) at ([xshift=0.4in]algorithm.north east) {获取每个单词\\的翻译候选};
\node [anchor=west,draw,thick,circle,minimum size=0.3em,inner sep=2.1pt,red] (s1) at ([yshift=-0.7em,xshift=0.5em]remark1.north east){1};
\node [anchor=west,draw,thick,circle,minimum size=0.3em,inner sep=2.1pt,ugreen] (s2) at ([xshift=0.4em]s1.east) {2};
\node [anchor=west,draw,thick,circle,minimum size=0.3em,inner sep=2.1pt,orange] (s3) at ([xshift=0.4em]s2.east) {3};
\node [anchor=west,draw,thick,circle,minimum size=0.3em,inner sep=3.0pt,ublue] (s4) at ([xshift=0.4em]s3.east) {...};
\node [anchor=west,draw,thick,circle,minimum size=0.3em,inner sep=1.5pt,purple] (s5) at ([xshift=0.4em]s4.east) {$m$};
\node [anchor=west,draw,thick,circle,minimum size=0.3em,inner sep=2.1pt,red] (s1) at ([yshift=-1.0em,xshift=0.5em]remark1.north east){\tiny{1}};
\node [anchor=west,draw,thick,circle,minimum size=0.3em,inner sep=2.1pt,ugreen] (s2) at ([xshift=0.4em]s1.east) {\tiny{2}};
\node [anchor=west,draw,thick,circle,minimum size=0.3em,inner sep=2.1pt,orange] (s3) at ([xshift=0.4em]s2.east) {\tiny{3}};
\node [anchor=west,draw,thick,circle,minimum size=0.3em,inner sep=3.0pt,ublue] (s4) at ([xshift=0.4em]s3.east) {.};
\node [anchor=west,draw,thick,circle,minimum size=0.3em,inner sep=1.5pt,purple] (s5) at ([xshift=0.4em]s4.east) {\tiny{$m$}};
\node [anchor=center,draw,thick,circle,minimum size=0.3em,inner sep=2pt,red,fill=red] (t1) at ([yshift=-1.7em]s1.center) {{\color{white} $n$}};
\node [anchor=center,draw,thick,circle,minimum size=0.3em,inner sep=2pt,ugreen,fill=ugreen] (t2) at ([yshift=-1.7em]s2.center) {{\color{white} $n$}};
\node [anchor=center,draw,thick,circle,minimum size=0.3em,inner sep=2pt,orange,fill=orange] (t3) at ([yshift=-1.7em]s3.center) {{\color{white} $n$}};
\node [anchor=center,draw,thick,circle,minimum size=0.3em,inner sep=2pt,ublue,fill=ublue] (t4) at ([yshift=-1.7em]s4.center) {{\color{white} $n$}};
\node [anchor=center,draw,thick,circle,minimum size=0.3em,inner sep=2pt,purple,fill=purple] (t5) at ([yshift=-1.7em]s5.center) {{\color{white} $n$}};
\node [anchor=center,draw,thick,circle,minimum size=0.3em,inner sep=2pt,red,fill=red] (t1) at ([yshift=-1.7em]s1.center) {{\color{white} \tiny{$n$}}};
\node [anchor=center,draw,thick,circle,minimum size=0.3em,inner sep=2pt,ugreen,fill=ugreen] (t2) at ([yshift=-1.7em]s2.center) {{\color{white} \tiny{$n$}}};
\node [anchor=center,draw,thick,circle,minimum size=0.3em,inner sep=2pt,orange,fill=orange] (t3) at ([yshift=-1.7em]s3.center) {{\color{white} \tiny{$n$}}};
\node [anchor=center,draw,thick,circle,minimum size=0.3em,inner sep=2pt,ublue,fill=ublue] (t4) at ([yshift=-1.7em]s4.center) {{\color{white} \tiny{$n$}}};
\node [anchor=center,draw,thick,circle,minimum size=0.3em,inner sep=2pt,purple,fill=purple] (t5) at ([yshift=-1.7em]s5.center) {{\color{white} \tiny{$n$}}};
\draw [->,thick] ([yshift=-0.1em]s1.south) -- ([yshift=0.1em]t1.north);
\draw [->,thick] ([yshift=-0.1em]s2.south) -- ([yshift=0.1em]t2.north);
......@@ -104,8 +104,8 @@
{
\node [anchor=north west,inner sep=2pt,align=left] (remark4) at ([xshift=0.25em,yshift=-0.6em]remark3.south west) {\textsc{Join}($a,b$) 返回\\$a$$b$ 的所有组合};
{
\node [anchor=north west,inner sep=1pt,align=center,draw] (a1) at ([yshift=-0.2em]remark4.north east) {a1\\a2};
{\scriptsize
\node [anchor=north west,inner sep=1pt,align=center,draw] (a1) at ([yshift=-0.5em]remark4.north east) {a1\\a2};
\node [anchor=west] (join) at (a1.east) {$\times$};
\node [anchor=north west,inner sep=1pt,align=center,draw] (b1) at ([xshift=1.5em]a1.north east) {b1\\b2};
\node [anchor=west] (join) at (b1.east) {$=$};
......@@ -124,33 +124,33 @@
%% remark 5
\begin{scope}
{
\node [anchor=north west,align=left] (remark5) at ([xshift=0.0em,yshift=-1.3em]remark4.south west) {\textsc{PruneForTop1}\\保留得分最高的结果};
\node [anchor=west,draw,inner sep=1pt] (s1) at ([yshift=-0.5em,xshift=1.2em]remark5.north east){0.234};
\node [anchor=north west,draw,inner sep=1pt] (s2) at ([yshift=-0.2em]s1.south west){0.197};
\node [anchor=north west,draw,inner sep=1pt] (s3) at ([yshift=-0.2em]s2.south west){0.083};
\node [anchor=north west,align=left] (remark5) at ([xshift=0.0em,yshift=-1em]remark4.south west) {\textsc{PruneForTop1}\\保留得分最高的结果};
\node [anchor=west,draw,inner sep=1pt] (s1) at ([yshift=-0.5em,xshift=1.2em]remark5.north east){\tiny{0.234}};
\node [anchor=north west,draw,inner sep=1pt] (s2) at ([yshift=-0.2em]s1.south west){\tiny{0.197}};
\node [anchor=north west,draw,inner sep=1pt] (s3) at ([yshift=-0.2em]s2.south west){\tiny{0.083}};
\draw [-] ([yshift=-0.1em,xshift=-0.2em]s1.south west) -- ([yshift=-0.1em,xshift=3em]s1.south east);
\node [anchor=west] (top1) at ([xshift=0.1em]s1.east) {\color{red}{$\gets$ top1}};
\node [anchor=west] (top1) at ([xshift=0.1em]s1.east) {\tiny{\color{red}{$\gets$ top1}}};
\begin{pgfonlayer}{background}
{
\node[rectangle,draw,inner sep=0.2em,fill=blue!10] [fit = (remark5) (s3) (top1)] (remark5label) {};
\node[rectangle,draw,inner sep=0.2em,fill=blue!10] [fit = (remark5) (top1)] (remark5label) {};
}
\end{pgfonlayer}
}
\end{scope}
% end of remark 5
\%% end of remark 5
%% remark 6
\begin{scope}
{
\node [anchor=north west,align=left] (remark6) at ([xshift=0.0em,yshift=-1.3em]remark5.south west) {记录已经翻译过\\的源语单词};
\node [anchor=north west,align=left] (remark6) at ([xshift=0.0em,yshift=-1em]remark5.south west) {记录已经翻译过\\的源语单词};
\node [anchor=west,draw,thick,circle,minimum size=0.3em,inner sep=2.1pt,red] (s1) at ([yshift=-1.3em,xshift=0.5em]remark6.north east){1};
\node [anchor=west,draw,thick,circle,minimum size=0.3em,inner sep=2.1pt,ugreen] (s2) at ([xshift=0.4em]s1.east) {2};
\node [anchor=west,draw,thick,circle,minimum size=0.3em,inner sep=2.1pt,orange] (s3) at ([xshift=0.4em]s2.east) {3};
\node [anchor=west,draw,thick,circle,minimum size=0.3em,inner sep=3.0pt,ublue] (s4) at ([xshift=0.4em]s3.east) {...};
\node [anchor=west,draw,thick,circle,minimum size=0.3em,inner sep=1.5pt,purple] (s5) at ([xshift=0.4em]s4.east) {$m$};
\node [anchor=west,draw,thick,circle,minimum size=0.3em,inner sep=2.1pt,red] (s1) at ([yshift=-1.0em,xshift=0.5em]remark6.north east){\tiny{1}};
\node [anchor=west,draw,thick,circle,minimum size=0.3em,inner sep=2.1pt,ugreen] (s2) at ([xshift=0.4em]s1.east) {\tiny{2}};
\node [anchor=west,draw,thick,circle,minimum size=0.3em,inner sep=2.1pt,orange] (s3) at ([xshift=0.4em]s2.east) {\tiny{3}};
\node [anchor=west,draw,thick,circle,minimum size=0.3em,inner sep=3.0pt,ublue] (s4) at ([xshift=0.4em]s3.east) {.};
\node [anchor=west,draw,thick,circle,minimum size=0.3em,inner sep=1.5pt,purple] (s5) at ([xshift=0.4em]s4.east) {\tiny{$m$}};
\draw [-,thick,red] (s1.north east) -- (s1.south west);
\draw [-,thick,orange] (s3.north east) -- (s3.south west);
......@@ -162,7 +162,7 @@
\end{pgfonlayer}
}
\end{scope}
% end of remark 6
\%% end of remark 6
{
\draw [->,thick] (line2highlight.east) ..controls +(east:1em) and +(west:1em).. (remark1label.west);
......
......@@ -13,7 +13,7 @@
\draw [->,thick,] (s1.north east) .. controls +(north east:1em) and +(north west:1em).. (t.north west) node[pos=0.5,below] {\tiny{正确翻译}};
\node [draw,red,fill=red!10,thick,anchor=center,circle,inner sep=3.5pt] (s) at ([xshift=13em,yshift=0em]s1.east) {\black{$s$}};
\node [draw,red,fill=red!10,thick,anchor=center,circle,inner sep=3.5pt] (s) at ([xshift=10em,yshift=0em]s1.east) {\black{$s$}};
\node [draw,ublue,fill=blue!10,thick,anchor=center,circle,inner sep=2pt] (t1) at ([xshift=1in]s.east) {\black{$t_1$}};
\node [draw,ublue,fill=blue!10,thick,anchor=center,circle,inner sep=2pt] (t2) at ([xshift=3em,yshift=2em]t1.north east) {\black{$t_2$}};
\node [draw,ublue,fill=blue!10,thick,anchor=center,circle,inner sep=2pt] (t3) at ([xshift=1em,yshift=4em]t1.north east) {\black{$t_3$}};
......@@ -28,10 +28,6 @@
\draw [->,thick,] (s.north) .. controls +(70:4em) and +(west:1em).. (t3.west) node[pos=0.5,above,xshift=-1em] {\tiny{P($t_3|s$)=0.3}};
\draw [->,thick,] (s.south east) .. controls +(300:3em) and +(south west:1em).. (t4.south west) node[pos=0.5,below] {\tiny{P($t_4|s$)=0.1}};
\node [anchor=center] (foot1) at ([xshift=3.8em,yshift=-3em]s1.south) {\footnotesize{人的翻译候选空间}};
\node [anchor=center] (foot2) at ([xshift=7em,yshift=-3em]s.south) {\footnotesize{机器的翻译候选空间}};
\end{tikzpicture}
......
%%% outline
%-------------------------------------------------------------------------
\begin{tikzpicture}
\definecolor{ugreen}{rgb}{0,0.5,0}
\definecolor{ublue}{rgb}{0.152,0.250,0.545}
\node [anchor=west,draw,thick,minimum width=7.7em,minimum height=0.8em] (sent) at (0,0) {};
\node [anchor=west,draw,thick,circle,minimum size=0.3em,red] (s1) at ([yshift=-1.5em]sent.south west) {};
\node [anchor=west,draw,thick,circle,minimum size=0.3em,ugreen] (s2) at ([xshift=0.7em]s1.east) {};
\node [anchor=west,draw,thick,circle,minimum size=0.3em,orange] (s3) at ([xshift=0.7em]s2.east) {};
\node [anchor=west,draw,thick,circle,minimum size=0.3em,ublue] (s4) at ([xshift=0.7em]s3.east) {};
\node [anchor=west,draw,thick,circle,minimum size=0.3em,purple] (s5) at ([xshift=0.7em]s4.east) {};
{
\node [anchor=west,draw,thick,circle,minimum size=0.3em,red,fill=red] (t1) at ([yshift=-2.0em]s1.west) {};
\node [anchor=west,draw,thick,circle,minimum size=0.3em,ugreen,fill=ugreen] (t2) at ([xshift=0.7em]t1.east) {};
\node [anchor=west,draw,thick,circle,minimum size=0.3em,orange,fill=orange] (t3) at ([xshift=0.7em]t2.east) {};
\node [anchor=west,draw,thick,circle,minimum size=0.3em,ublue,fill=ublue] (t4) at ([xshift=0.7em]t3.east) {};
\node [anchor=west,draw,thick,circle,minimum size=0.3em,purple,fill=purple] (t5) at ([xshift=0.7em]t4.east) {};
}
{
\node [anchor=west,draw,thick,circle,minimum size=0.3em,red,fill=red] (ft1) at ([yshift=-2.0em]t1.west) {};
\node [anchor=west,draw,thick,circle,minimum size=0.3em,ublue,fill=ublue] (ft2) at ([xshift=0.7em]ft1.east) {};
\node [anchor=west,draw,thick,circle,minimum size=0.3em,purple,fill=purple] (ft3) at ([xshift=0.7em]ft2.east) {};
\node [anchor=west,draw,thick,circle,minimum size=0.3em,ugreen,fill=ugreen] (ft4) at ([xshift=0.7em]ft3.east) {};
\node [anchor=west,draw,thick,circle,minimum size=0.3em,orange,fill=orange] (ft5) at ([xshift=0.7em]ft4.east) {};
}
\draw [->,thick,double] ([yshift=-0.1em]sent.south) -- ([yshift=-0.8em]sent.south);
{
\draw [->,thick] ([yshift=-0.1em]s1.south) -- ([yshift=0.1em]t1.north);
\draw [->,thick] ([yshift=-0.1em]s2.south) -- ([yshift=0.1em]t2.north);
\draw [->,thick] ([yshift=-0.1em]s3.south) -- ([yshift=0.1em]t3.north);
\draw [->,thick] ([yshift=-0.1em]s4.south) -- ([yshift=0.1em]t4.north);
\draw [->,thick] ([yshift=-0.1em]s5.south) -- ([yshift=0.1em]t5.north);
}
{
\draw [->,thick] ([yshift=-0.1em]t1.south) -- ([yshift=0.1em]ft1.north);
\draw [->,thick] ([yshift=-0.1em]t2.south) -- ([yshift=0.1em]ft4.north);
\draw [->,thick] ([yshift=-0.1em]t3.south) -- ([yshift=0.1em]ft5.north);
\draw [->,thick] ([yshift=-0.1em]t4.south) -- ([yshift=0.1em]ft2.north);
\draw [->,thick] ([yshift=-0.1em]t5.south) -- ([yshift=0.1em]ft3.north);
}
{
\node [anchor=north west] (label1) at ([xshift=0.5em,yshift=0.3em]sent.south east) {{\scriptsize \textbf{分析}}};
\node [anchor=north west] (label2) at ([yshift=-0.5em]label1.south west) {{\scriptsize \textbf{转换}}};
\node [anchor=north west] (label3) at ([yshift=-0.5em]label2.south west) {{\scriptsize \textbf{生成}}};
}
\end{tikzpicture}
%---------------------------------------------------------------------
......@@ -6,34 +6,34 @@
\begin{scope}
{\small
\node [anchor=west,inner sep=2pt] (s1) at (0,0) {谢谢};
\node [anchor=west,inner sep=2pt] (s2) at ([xshift=2em]s1.east) {};
\node [anchor=north,inner sep=2pt] (t1) at ([yshift=-2.2em]s1.center) {thank};
\node [anchor=north,inner sep=2pt] (t2) at ([yshift=-2.45em]s2.center) {you};
\node [anchor=west,inner sep=2pt] (s2) at ([xshift=1em]s1.east) {};
\node [anchor=north,inner sep=2pt] (t1) at ([yshift=-1.2em]s1.center) {thank};
\node [anchor=north,inner sep=2pt] (t2) at ([yshift=-1.45em]s2.center) {you};
\draw [-] (s1.south) -- ([yshift=-0.2em]t1.north);
\draw [-] (s2.south) -- (t2.north);
\node [anchor=center,draw=ublue,circle,thick,fill=white,inner sep=1pt,circular drop shadow={shadow xshift=0.1em,shadow yshift=-0.1em}] (mark) at ([xshift=0.8em,yshift=-0.7em]s2.south east) {{\color{ugreen} \tiny{\textbf{Yes}}}};
\node [anchor=center,draw=ublue,circle,thick,fill=white,inner sep=1pt,circular drop shadow={shadow xshift=0.1em,shadow yshift=-0.1em}] (mark) at ([xshift=0.5em,yshift=-0.2em]s2.south east) {{\color{ugreen} \tiny{\textbf{Yes}}}};
}
\end{scope}
\begin{scope}[xshift=1.8in]
\begin{scope}[xshift=1.3in]
{\small
\node [anchor=west,inner sep=2pt] (s1) at (0,0) {谢谢};
\node [anchor=west,inner sep=2pt] (s2) at ([xshift=2em]s1.east) {};
\node [anchor=north,inner sep=2pt] (t1) at ([yshift=-2.2em]s1.center) {thank};
\node [anchor=north,inner sep=2pt] (t2) at ([yshift=-2.45em]s2.center) {you};
\node [anchor=west,inner sep=2pt] (s2) at ([xshift=1em]s1.east) {};
\node [anchor=north,inner sep=2pt] (t1) at ([yshift=-1.2em]s1.center) {thank};
\node [anchor=north,inner sep=2pt] (t2) at ([yshift=-1.45em]s2.center) {you};
\draw [-] (s1.south) -- ([yshift=-0.2em]t1.north);
\draw [-] (s1.south) -- (t2.north);
\node [anchor=center,draw=ublue,circle,thick,fill=white,inner sep=1.5pt,circular drop shadow={shadow xshift=0.1em,shadow yshift=-0.1em}] (mark) at ([xshift=0.8em,yshift=-0.7em]s2.south east) {{\color{red} \tiny{\textbf{No}}}};
\node [anchor=center,draw=ublue,circle,thick,fill=white,inner sep=1.5pt,circular drop shadow={shadow xshift=0.1em,shadow yshift=-0.1em}] (mark) at ([xshift=0.5em,yshift=-0.2em]s2.south east) {{\color{red} \tiny{\textbf{No}}}};
}
\end{scope}
\begin{scope}[xshift=3.6in]
\begin{scope}[xshift=2.6in]
{\small
\node [anchor=west,inner sep=2pt] (s1) at (0,0) {谢谢};
\node [anchor=west,inner sep=2pt] (s2) at ([xshift=2em]s1.east) {};
\node [anchor=north,inner sep=2pt] (t1) at ([yshift=-2.2em]s1.center) {thank};
\node [anchor=north,inner sep=2pt] (t2) at ([yshift=-2.45em]s2.center) {you};
\node [anchor=west,inner sep=2pt] (s2) at ([xshift=1em]s1.east) {};
\node [anchor=north,inner sep=2pt] (t1) at ([yshift=-1.2em]s1.center) {thank};
\node [anchor=north,inner sep=2pt] (t2) at ([yshift=-1.45em]s2.center) {you};
\draw [-] (s1.south) -- ([yshift=-0.2em]t1.north);
\draw [-] (s2.south) -- ([yshift=-0.2em]t1.north);
\node [anchor=center,draw=ublue,circle,thick,fill=white,inner sep=1pt,circular drop shadow={shadow xshift=0.1em,shadow yshift=-0.1em}] (mark) at ([xshift=0.8em,yshift=-0.7em]s2.south east) {{\color{ugreen} \tiny{\textbf{Yes}}}};
\node [anchor=center,draw=ublue,circle,thick,fill=white,inner sep=1pt,circular drop shadow={shadow xshift=0.1em,shadow yshift=-0.1em}] (mark) at ([xshift=0.5em,yshift=-0.2em]s2.south east) {{\color{ugreen} \tiny{\textbf{Yes}}}};
}
\end{scope}
\end{tikzpicture}
......
......@@ -6,10 +6,10 @@
\begin{scope}
\node [anchor=west] (s1) at (0,0) {\textbf{}};
\node [anchor=west] (s2) at ([xshift=3em]s1.east) {\textbf{}};
\node [anchor=west] (s3) at ([xshift=3em]s2.east) {\textbf{}};
\node [anchor=west] (s4) at ([xshift=3em]s3.east) {\textbf{表示ʾ}};
\node [anchor=west] (s5) at ([xshift=3em]s4.east) {\textbf{满意}};
\node [anchor=west] (s2) at ([xshift=2em]s1.east) {\textbf{}};
\node [anchor=west] (s3) at ([xshift=2em]s2.east) {\textbf{}};
\node [anchor=west] (s4) at ([xshift=2em]s3.east) {\textbf{表示ʾ}};
\node [anchor=west] (s5) at ([xshift=2em]s4.east) {\textbf{满意}};
\node [anchor=south west] (sentlabel) at ([yshift=-0.5em]s1.north west) {\scriptsize{\textbf{\color{red}{待翻译句子(已经分词):}}}};
{
......@@ -21,15 +21,15 @@
{\small
\node [anchor=north,inner sep=2pt,fill=red!20,minimum height=1.5em,minimum width=2.5em] (t11) at ([yshift=-1em]s1.south) {I};
\node [anchor=north,inner sep=2pt,fill=red!20,minimum height=1.5em,minimum width=2.5em] (t12) at ([yshift=-0.8em]t11.south) {me};
\node [anchor=north,inner sep=2pt,fill=red!20,minimum height=1.5em,minimum width=2.5em] (t13) at ([yshift=-0.8em]t12.south) {I'm};
\node [anchor=north,inner sep=2pt,fill=red!20,minimum height=1.5em,minimum width=2.5em] (t12) at ([yshift=-0.2em]t11.south) {me};
\node [anchor=north,inner sep=2pt,fill=red!20,minimum height=1.5em,minimum width=2.5em] (t13) at ([yshift=-0.2em]t12.south) {I'm};
\node [anchor=north west,inner sep=1pt,fill=black] (tl11) at (t11.north west) {\tiny{{\color{white} \textbf{1}}}};
\node [anchor=north west,inner sep=1pt,fill=black] (tl12) at (t12.north west) {\tiny{{\color{white} \textbf{1}}}};
\node [anchor=north west,inner sep=1pt,fill=black] (tl13) at (t13.north west) {\tiny{{\color{white} \textbf{1}}}};
\node [anchor=north,inner sep=2pt,fill=green!20,minimum height=1.5em,minimum width=2.5em] (t21) at ([yshift=-1em]s2.south) {to};
\node [anchor=north,inner sep=2pt,fill=green!20,minimum height=1.5em,minimum width=2.5em] (t22) at ([yshift=-0.8em]t21.south) {with};
\node [anchor=north,inner sep=2pt,fill=green!20,minimum height=1.5em,minimum width=2.5em] (t23) at ([yshift=-0.8em]t22.south) {for};
\node [anchor=north,inner sep=2pt,fill=green!20,minimum height=1.5em,minimum width=2.5em] (t22) at ([yshift=-0.2em]t21.south) {with};
\node [anchor=north,inner sep=2pt,fill=green!20,minimum height=1.5em,minimum width=2.5em] (t23) at ([yshift=-0.2em]t22.south) {for};
\node [anchor=north west,inner sep=1pt,fill=black] (tl21) at (t21.north west) {\tiny{{\color{white} \textbf{2}}}};
\node [anchor=north west,inner sep=1pt,fill=black] (tl22) at (t22.north west) {\tiny{{\color{white} \textbf{2}}}};
\node [anchor=north west,inner sep=1pt,fill=black] (tl23) at (t23.north west) {\tiny{{\color{white} \textbf{2}}}};
......@@ -38,13 +38,13 @@
\node [anchor=north west,inner sep=1pt,fill=black] (tl31) at (t31.north west) {\tiny{{\color{white} \textbf{3}}}};
\node [anchor=north,inner sep=2pt,fill=orange!20,minimum height=1.5em,minimum width=3em] (t41) at ([yshift=-1em]s4.south) {$\phi$};
\node [anchor=north,inner sep=2pt,fill=orange!20,minimum height=1.5em,minimum width=3em] (t42) at ([yshift=-0.8em]t41.south) {show};
\node [anchor=north,inner sep=2pt,fill=orange!20,minimum height=1.5em,minimum width=3em] (t42) at ([yshift=-0.2em]t41.south) {show};
\node [anchor=north west,inner sep=1pt,fill=black] (tl41) at (t41.north west) {\tiny{{\color{white} \textbf{4}}}};
\node [anchor=north west,inner sep=1pt,fill=black] (tl42) at (t42.north west) {\tiny{{\color{white} \textbf{4}}}};
\node [anchor=north,inner sep=2pt,fill=purple!20,minimum height=1.5em,minimum width=4.5em] (t51) at ([yshift=-1em]s5.south) {satisfy};
\node [anchor=north,inner sep=2pt,fill=purple!20,minimum height=1.5em,minimum width=4.5em] (t52) at ([yshift=-0.8em]t51.south) {satisfied};
\node [anchor=north,inner sep=2pt,fill=purple!20,minimum height=1.5em,minimum width=4.5em] (t53) at ([yshift=-0.8em]t52.south) {satisfies};
\node [anchor=north,inner sep=2pt,fill=purple!20,minimum height=1.5em,minimum width=4.5em] (t52) at ([yshift=-0.2em]t51.south) {satisfied};
\node [anchor=north,inner sep=2pt,fill=purple!20,minimum height=1.5em,minimum width=4.5em] (t53) at ([yshift=-0.2em]t52.south) {satisfies};
\node [anchor=north west,inner sep=1pt,fill=black] (tl51) at (t51.north west) {\tiny{{\color{white} \textbf{5}}}};
\node [anchor=north west,inner sep=1pt,fill=black] (tl52) at (t52.north west) {\tiny{{\color{white} \textbf{5}}}};
\node [anchor=north west,inner sep=1pt,fill=black] (tl53) at (t53.north west) {\tiny{{\color{white} \textbf{5}}}};
......@@ -57,9 +57,9 @@
{
\node [anchor=west,inner sep=2pt,fill=red!20,minimum height=1.5em,minimum width=2.5em] (ft11) at ([yshift=-1.2in]t11.west) {I'm};
\node [anchor=center,inner sep=2pt,fill=purple!20,minimum height=1.5em,minimum width=5em] (ft12) at ([xshift=6.0em]ft11.center) {satisfied};
\node [anchor=center,inner sep=2pt,fill=green!20,minimum height=1.5em,minimum width=2.5em] (ft13) at ([xshift=6.0em]ft12.center) {with};
\node [anchor=center,inner sep=2pt,fill=blue!20,minimum height=1.5em,minimum width=2.5em] (ft14) at ([xshift=5.0em]ft13.center) {you};
\node [anchor=center,inner sep=2pt,fill=purple!20,minimum height=1.5em,minimum width=5em] (ft12) at ([xshift=5.0em]ft11.center) {satisfied};
\node [anchor=center,inner sep=2pt,fill=green!20,minimum height=1.5em,minimum width=2.5em] (ft13) at ([xshift=5.0em]ft12.center) {with};
\node [anchor=center,inner sep=2pt,fill=blue!20,minimum height=1.5em,minimum width=2.5em] (ft14) at ([xshift=4.0em]ft13.center) {you};
}
{
......
......@@ -4,16 +4,16 @@
\begin{tikzpicture}
\begin{scope}
{
\node [pos=0.5,left,xshift=-0.5em,yshift=2.0em] (label2) {Input: a word pair (x, y) and a sentence pair (s, t)};
\node [anchor=north west] (label2part2) at ([yshift=0.3em]label2.south west) {Output: the number of (x, y) in the (s, t)};
\node [anchor=north west] (label2part3) at ([yshift=0.3em]label2part2.south west) {{1:$count$ $\leftarrow$ 0}};
\node [anchor=north west] (label2part4) at ([yshift=0.3em]label2part3.south west) {{2:\textbf{for} $s\underline{\hbox to 0.1cm{}}word$ $\leftarrow$ $S_1$$S_{length(s)}$ \textbf{do} }};
\node [anchor=north west] (label2part5)at ([yshift=0.3em]label2part4.south west) {{3:\quad\textbf{for} $t\underline{\hbox to 0.1cm{}}word$ $\leftarrow$ $t_1$$t_{length(t)}$ \textbf{do} }};
\node [anchor=north west] (label2part6)at ([yshift=0.3em]label2part5.south west) {{4:\quad\quad\textbf{if} $s\underline{\hbox to 0.1cm{}}word$ == x \textbf{and} $t\underline{\hbox to 0.1cm{}}word$==y \textbf{then} }};
\node [anchor=north west] (label2part7) at ([yshift=0.3em]label2part6.south west) {{5:\quad\quad\quad\quad $count$ $\leftarrow$ $count$ + 1 }};
\node [anchor=north west] (label2part8) at ([yshift=0.3em]label2part7.south west) {{6:\quad\quad \textbf{end if} }};
\node [anchor=north west] (label2part9) at ([yshift=0.3em]label2part8.south west) {{7:\quad \textbf{end for} }};
\node [anchor=north west] (label2part10) at ([yshift=0.3em]label2part9.south west) {{8: \textbf{end for} }};
\node [pos=0.5,left,xshift=-0.5em,yshift=2.0em] (label2) {\footnotesize{\textbf{Input: a word pair (x, y) and a sentence pair (s, t)}}};
\node [anchor=north west] (label2part2) at ([yshift=0.3em]label2.south west) {\footnotesize{\textbf{Output: the number of (x, y) in the (s, t)}}};
\node [anchor=north west] (label2part3) at ([yshift=0.3em]label2part2.south west) {\footnotesize{{1:count $\leftarrow$ 0}}};
\node [anchor=north west] (label2part4) at ([yshift=0.3em]label2part3.south west) {\footnotesize{{2:\textbf{for} s\underline{\hbox to 0.1cm{}}word $\leftarrow$ $S_1$$S_length(s)$ \textbf{do} }}};
\node [anchor=north west] (label2part5)at ([yshift=0.3em]label2part4.south west) {\footnotesize{{3:\quad\textbf{for}t\underline{\hbox to 0.1cm{}}word $\leftarrow$ $t_1$$t_length(t)$ \textbf{do} }}};
\node [anchor=north west] (label2part6)at ([yshift=0.3em]label2part5.south west) {\footnotesize{{4:\quad\quad\textbf{if} s\underline{\hbox to 0.1cm{}}word == x \textbf{and} t\underline{\hbox to 0.1cm{}}word==y \textbf{then} }}};
\node [anchor=north west] (label2part7) at ([yshift=0.3em]label2part6.south west) {\footnotesize{{5:\quad\quad\quad\quad count $\leftarrow$ count + 1 }}};
\node [anchor=north west] (label2part8) at ([yshift=0.3em]label2part7.south west) {\footnotesize{{6:\quad\quad \textbf{end if} }}};
\node [anchor=north west] (label2part9) at ([yshift=0.3em]label2part8.south west) {\footnotesize{{7:\quad \textbf{end for} }}};
\node [anchor=north west] (label2part10) at ([yshift=0.3em]label2part9.south west) {\footnotesize{{8: \textbf{end for} }}};
}
......
%%% outline
%-------------------------------------------------------------------------
\begin{tikzpicture}
{\scriptsize
\node [anchor=north west,inner sep=1pt] (entry1) at (0,0) {\tiny{\textbf{1:} 这 是 数据 $\leftrightarrow$ This is data}};
\node [anchor=north west,inner sep=1pt] (entry2) at ([yshift=0.1em]entry1.south west) {\tiny{\textbf{2:} 小心 !$\leftrightarrow$ Look out !}};
\node [anchor=north west,inner sep=1pt] (entry3) at ([yshift=0.1em]entry2.south west) {\tiny{\textbf{3:} 你 是 谁 $\leftrightarrow$ Who are you}};
\node [anchor=north west,inner sep=2pt] (entry4) at ([yshift=0.1em]entry3.south west) {...};
\node [anchor=south west] (corpuslabel) at (entry1.north west) {{\color{ublue} \textbf{双语平行数据}}};
\begin{pgfonlayer}{background}
\node[rectangle,draw=ublue,thick,inner sep=0.2em,fill=white,drop shadow,minimum height=1.6cm] [fit = (entry1) (entry2) (entry3) (entry4) (corpuslabel)] (corpus) {};
\end{pgfonlayer}
}
\node [anchor=west,ugreen] (P) at ([xshift=4em,yshift=-0.7em]corpus.east){P($t|s$)};
\node [anchor=south] (modellabel) at (P.north) {{\color{ublue} {\scriptsize \textbf{翻译模型}}}};
\begin{pgfonlayer}{background}
\node[rectangle,draw=ublue,thick,inner sep=0.2em,fill=white,drop shadow,minimum height=1.6cm] [fit = (P) (modellabel)] (model) {};
\end{pgfonlayer}
\draw [->,very thick,ublue] ([xshift=0.2em]corpus.east) -- ([xshift=3.0em]corpus.east) node [inner sep=0pt,pos=0.5,above,yshift=0.3em] (trainingarrow) {\color{red}{\scriptsize{模型学习}}};
\draw [->,very thick,ublue] ([xshift=0.4em]model.east) -- ([xshift=3.4em]model.east) node [inner sep=0pt,pos=0.5,above,yshift=0.3em] (decodingarrow) {\color{red}{\scriptsize{穷举\&计算}}};
{\scriptsize
\node [anchor=north west,inner sep=2pt] (sentlabel) at ([xshift=5.5em,yshift=-0.3em]model.north east) {{\color{ublue} \textbf{机器翻译引擎}}};
\node [anchor=north west] (sent) at ([yshift=-0.5em]sentlabel.south west) {\textbf{对任意句子}};
\node [anchor=north west] (sentpart2) at ([yshift=0.3em]sent.south west) {\textbf{进行翻译}};
}
\begin{pgfonlayer}{background}
\node[rectangle,draw=ublue,thick,inner sep=0.2em,fill=white,drop shadow,minimum height=1.6cm] [fit = (sentlabel) (sent) (sentpart2)] (segsystem) {};
\end{pgfonlayer}
\node[rectangle,fill=white,fill opacity=0.85,inner sep=0pt] [fit = (segsystem) (decodingarrow)] (segsystem2) {};
\node[rectangle,fill=white,fill opacity=0.85,inner sep=0pt] [fit = (corpus) (trainingarrow)] (corpus2) {};
\end{tikzpicture}
%---------------------------------------------------------------------
......@@ -219,4 +219,89 @@
pages={359--394},
year={1999},
publisher={Elsevier}
}
@book{chomsky2002syntactic,
title={Syntactic structures},
author={Chomsky, Noam},
year={2002},
publisher={Walter de Gruyter}
}
@article{shannon1948mathematical,
title={A mathematical theory of communication},
author={Shannon, Claude E},
journal={Bell system technical journal},
volume={27},
number={3},
pages={379--423},
year={1948},
publisher={Wiley Online Library}
}
@inproceedings{ng2002discriminative,
title={On discriminative vs. generative classifiers: A comparison of logistic regression and naive bayes},
author={Ng, Andrew Y and Jordan, Michael I},
booktitle={Advances in neural information processing systems},
pages={841--848},
year={2002}
}
@article{lafferty2001conditional,
title={Conditional random fields: Probabilistic models for segmenting and labeling sequence data},
author={Lafferty, John and McCallum, Andrew and Pereira, Fernando CN},
year={2001}
}
@article{huang2015bidirectional,
title={Bidirectional LSTM-CRF models for sequence tagging},
author={Huang, Zhiheng and Xu, Wei and Yu, Kai},
journal={arXiv preprint arXiv:1508.01991},
year={2015}
}
@article{ma2016end,
title={End-to-end sequence labeling via bi-directional lstm-cnns-crf},
author={Ma, Xuezhe and Hovy, Eduard},
journal={arXiv preprint arXiv:1603.01354},
year={2016}
}
@article{bengio2003neural,
title={A neural probabilistic language model},
author={Bengio, Yoshua and Ducharme, R{\'e}jean and Vincent, Pascal and Jauvin, Christian},
journal={Journal of machine learning research},
volume={3},
number={Feb},
pages={1137--1155},
year={2003}
}
@inproceedings{mikolov2010recurrent,
title={Recurrent neural network based language model},
author={Mikolov, Tom{\'a}{\v{s}} and Karafi{\'a}t, Martin and Burget, Luk{\'a}{\v{s}} and {\v{C}}ernock{\`y}, Jan and Khudanpur, Sanjeev},
booktitle={Eleventh annual conference of the international speech communication association},
year={2010}
}
@inproceedings{chen2014fast,
title={A fast and accurate dependency parser using neural networks},
author={Chen, Danqi and Manning, Christopher D},
booktitle={Proceedings of the 2014 conference on empirical methods in natural language processing (EMNLP)},
pages={740--750},
year={2014}
}
@article{zhu2015long,
title={Long Short-Term Memory Over Tree Structures.},
author={Zhu, Xiaodan and Sobhani, Parinaz and Guo, Hongyu},
journal={arXiv: Computation and Language},
year={2015}
}
@book{aho1972theory,
title={The theory of parsing, translation, and compiling},
author={Aho, Alfred V and Ullman, Jeffrey D},
volume={1},
year={1972},
publisher={Prentice-Hall Englewood Cliffs, NJ}
}
\ No newline at end of file
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