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Chapter13/Figures/figure-batch-generation-method.tex 0 → 100644
\begin{tikzpicture}
\tikzstyle{node} = [minimum height=1.0*1.2em,draw,fill=green!20]
\tikzstyle{legend} = [minimum height=1.0*1.2em,minimum width=1.0*1.2em,draw]
\tikzstyle{node2} = [minimum width=1.0*1.2em,minimum height=4.1*1.2em,draw,fill=blue!20]
\node[node,minimum width=2.8*1.2em] (node1) at (0,0) {};
\node[node,minimum width=4.0*1.2em,anchor=north west] (node2) at (node1.south west) {};
\node[node,minimum width=3.2*1.2em,anchor=north west] (node3) at (node2.south west) {};
\node[node,minimum width=3.0*1.2em,anchor=north west] (node4) at (node3.south west) {};
\node[node2,anchor = north west] (grad1) at ([xshift=1.2em]node1.north east) {};
\node[node,minimum width=3.7*1.2em,anchor=north west] (node5) at (grad1.north east) {};
\node[node,minimum width=2.8*1.2em,anchor=north west] (node6) at (node5.south west) {};
\node[node,minimum width=3.2*1.2em,anchor=north west] (node7) at (node6.south west) {};
\node[node,minimum width=4.0*1.2em,anchor=north west] (node8) at (node7.south west) {};
\node[font=\footnotesize,anchor=east] (line1) at (node1.west) {GPU1};
\node[font=\footnotesize,anchor=east] (line2) at (node2.west) {GPU2};
\node[font=\footnotesize,anchor=east] (line3) at (node3.west) {GPU3};
\node[font=\footnotesize,anchor=east] (line4) at (node4.west) {GPU4};
\node[node2,anchor = north west] (grad2) at ([xshift=0.3em]node5.north east) {};
\draw[->,thick] (-1.4em*1.2,-3.62*1.2em) -- (9em*1.2,-3.62*1.2em);
\node[node,minimum width=2.8*1.2em] (node9) at (16em,0) {};
\node[node,minimum width=4.0*1.2em,anchor=north west] (node10) at (node9.south west) {};
\node[node,minimum width=3.2*1.2em,anchor=north west] (node11) at (node10.south west) {};
\node[node,minimum width=3.0*1.2em,anchor=north west] (node12) at (node11.south west) {};
\node[node,minimum width=3.7*1.2em,anchor=north west] (node13) at (node9.north east) {};
\node[node,minimum width=2.8*1.2em,anchor=north west] (node14) at (node10.north east) {};
\node[node,minimum width=3.2*1.2em,anchor=north west] (node15) at (node11.north east) {};
\node[node,minimum width=4.0*1.2em,anchor=north west] (node16) at (node12.north east) {};
\node[node2,anchor = north west] (grad3) at ([xshift=0.5em]node13.north east) {};
\node[font=\footnotesize,anchor=east] (line1) at (node9.west) {GPU1};
\node[font=\footnotesize,anchor=east] (line2) at (node10.west) {GPU2};
\node[font=\footnotesize,anchor=east] (line3) at (node11.west) {GPU3};
\node[font=\footnotesize,anchor=east] (line4) at (node12.west) {GPU4};
\draw[->,thick] (node12.south west) -- ([xshift=3em]node16.south east);
\begin{pgfonlayer}{background}
\node [rectangle,inner sep=-0.0em,draw] [fit = (node1) (node2) (node3) (node4)] (box1) {};
\node [rectangle,inner sep=-0.0em,draw] [fit = (node5) (node6) (node7) (node8)] (box2) {};
\node [rectangle,inner sep=-0.0em,draw] [fit = (node9) (node13) (node12) (node16)] (box2) {};
\end{pgfonlayer}
\node[font=\footnotesize,anchor=north] (legend1) at ([xshift=3em]node4.south) {一步一更新};
\node[font=\footnotesize,anchor=north] (legend2) at ([xshift=2.5em]node12.south) {累积两步更新};
\node[font=\footnotesize,anchor=north] (time1) at (grad2.south) {time};
\node[font=\footnotesize,anchor=north] (time1) at (grad3.south) {time};
\node[legend] (legend3) at (2em,2em) {};
\node[font=\footnotesize,anchor=west] (idle) at (legend3.east) {:空闲};
\node[legend,anchor=west,draw,fill=green!30] (legend4) at ([xshift = 2em]idle.east) {};
\node[font=\footnotesize,anchor=west] (FB) at (legend4.east) {:前向/反向};
\node[legend,anchor=west,draw,fill=blue!30] (legend5) at ([xshift = 2em]FB.east) {};
\node[font=\footnotesize,anchor=west] (grad_sync) at (legend5.east) {:梯度更新};
\end{tikzpicture}
\ No newline at end of file
Chapter13/Figures/figure-computation-of-dropout.tex 0 → 100644
\begin{tikzpicture}
\def\neuronsep{1.5}
\def\nodespace{1}
\def\picturespace{0.8}
\tikzstyle{neuronnode} = [minimum size=1.8em,circle,draw,very thick,ublue,inner sep=0pt, fill=white,align=center]
%standard
\node [neuronnode] (neuron_b) at (0,0) {\scriptsize{$b_{i}^{l}$}};
\node [neuronnode] (neuron_y3) at (0,-1*\neuronsep) {\scriptsize{$x_{3}^{l}$}};
\node [neuronnode] (neuron_y2) at (0,-2*\neuronsep) {\scriptsize{$x_{2}^{l}$}};
\node [neuronnode] (neuron_y1) at (0,-3*\neuronsep) {\scriptsize{$x_{1}^{l}$}};
\node [neuronnode] (neuron_z) at (1.2 * \nodespace,-1.5 * \neuronsep) {\scriptsize{$z_{i}^{l+1}$}};
\node [neuronnode] (neuron_y') at (2.4 * \nodespace,-1.5 * \neuronsep) {\scriptsize{$x_{i}^{l+1}$}};
\node [anchor=north,ublue] (standard) at ([yshift=-4em]neuron_z.south) {\scriptsize{standard}};
\node [ublue] (standard) at ([xshift=-1em]neuron_z.west) {\scriptsize{$\mathbf{w}_{i}^{l}$}};
\node [ublue] (standard) at ([xshift=0.6em,yshift=0.3em]neuron_z.east) {\scriptsize{$f$}};
\draw [->,line width=0.3mm] (neuron_b.east) -- (neuron_z.west);
\draw [->,line width=0.3mm] (neuron_y3.east) -- (neuron_z.west);
\draw [->,line width=0.3mm] (neuron_y2.east) -- (neuron_z.west);
\draw [->,line width=0.3mm] (neuron_y1.east) -- (neuron_z.west);
\draw [->,line width=0.3mm] (neuron_z.east) -- (neuron_y'.west);
%dropout
\node [neuronnode] (drop_neuron_b) at (5*\nodespace,0) {\scriptsize{$b_{i}^{l}$}};
\node [neuronnode] (drop_neuron_y3') at (5*\nodespace,-1*\neuronsep) {\scriptsize{$\tilde{x}_{3}^{l}$}};
\node [neuronnode] (drop_neuron_y2') at (5*\nodespace,-2*\neuronsep) {\scriptsize{$\tilde{x}_{2}^{l}$}};
\node [neuronnode] (drop_neuron_y1') at (5*\nodespace,-3*\neuronsep) {\scriptsize{$\tilde{x}_{1}^{l}$}};
\node [neuronnode] (drop_neuron_z) at (6.2 * \nodespace,-1.5 * \neuronsep) {\scriptsize{$z_{i}^{l+1}$}};
\node [neuronnode] (drop_neuron_y') at (7.4 * \nodespace,-1.5 * \neuronsep) {\scriptsize{$x_{i}^{l+1}$}};
\node [neuronnode] (drop_neuron_y3) at (3.8*\nodespace,-1*\neuronsep) {\scriptsize{$x_{3}^{l}$}};
\node [neuronnode] (drop_neuron_y2) at (3.8*\nodespace,-2*\neuronsep) {\scriptsize{$x_{2}^{l}$}};
\node [neuronnode] (drop_neuron_y1) at (3.8*\nodespace,-3*\neuronsep) {\scriptsize{$x_{1}^{l}$}};
\node [neuronnode] (drop_neuron_r3) at (4.4*\nodespace,-0.5*\neuronsep) {\scriptsize{$r_{3}^{l}$}};
\node [neuronnode] (drop_neuron_r2) at (4.4*\nodespace,-1.5*\neuronsep) {\scriptsize{$r_{2}^{l}$}};
\node [neuronnode] (drop_neuron_r1) at (4.4*\nodespace,-2.5*\neuronsep) {\scriptsize{$r_{1}^{l}$}};
\node [anchor=north,ublue] (standard) at ([yshift=-4em]drop_neuron_z.south) {\scriptsize{dropout}};
\node [ublue] (standard) at ([xshift=-1em]drop_neuron_z.west) {\scriptsize{$\mathbf{w}_{i}^{l}$}};
\node [ublue] (standard) at ([xshift=0.6em,yshift=0.3em]drop_neuron_z.east) {\scriptsize{$f$}};
%structure
\draw [->,line width=0.3mm] (drop_neuron_b.east) -- (drop_neuron_z.west);
\draw [->,line width=0.3mm] (drop_neuron_y3'.east) -- (drop_neuron_z.west);
\draw [->,line width=0.3mm] (drop_neuron_y2'.east) -- (drop_neuron_z.west);
\draw [->,line width=0.3mm] (drop_neuron_y1'.east) -- (drop_neuron_z.west);
\draw [->,line width=0.3mm] (drop_neuron_z.east) -- (drop_neuron_y'.west);
%r
\draw [->,line width=0.3mm] (drop_neuron_y3.east) -- (drop_neuron_y3'.west);
\draw [->,line width=0.3mm] (drop_neuron_y2.east) -- (drop_neuron_y2'.west);
\draw [->,line width=0.3mm] (drop_neuron_y1.east) -- (drop_neuron_y1'.west);
\draw [-,line width=0.3mm] (drop_neuron_r3.south) -- ([yshift=-1em]drop_neuron_r3.south);
\draw [-,line width=0.3mm] (drop_neuron_r2.south) -- ([yshift=-1em]drop_neuron_r2.south);
\draw [-,line width=0.3mm] (drop_neuron_r1.south) -- ([yshift=-1em]drop_neuron_r1.south);
%equ
\node [anchor=west,inner sep = 2pt] (line1) at (9*\nodespace,0) {未应用dropout：};
\node [anchor=north west,inner sep = 2pt] (line2) at (line1.south west) {$z_{i}^{l+1}=\mathbf{w}_{i}^{l} \mathbf{x}+b_{i}^{l}$};
\node [anchor=north west,inner sep = 2pt] (line3) at (line2.south west) {$x_{i}^{l+1}=f\left(x_{i}^{l}\right)$};
\node [anchor=north west,inner sep = 2pt] (line4) at (line3.south west) {应用dropout：};
\node [anchor=north west,inner sep = 2pt] (line5) at (line4.south west) {$r_{j}^{l} \sim$ Bernoulli $(1-p)$};
\node [anchor=north west,inner sep = 2pt] (line6) at (line5.south west) {$\tilde{\mathbf{x}}=\mathbf{r} * \mathbf{x}$};
\node [anchor=north west,inner sep = 2pt] (line7) at (line6.south west) {$z_{i}^{l+1}=\mathbf{w}_{i}^{l} \widetilde{\mathbf{x}}+b_{i}^{l}$};
\node [anchor=north west,inner sep = 2pt] (line8) at (line7.south west) {$x_{i}^{l+1}=f\left(z_{i}^{l}\right)$};
\end{tikzpicture}
\ No newline at end of file
Chapter13/Figures/figure-ensemble-knowledge-distillation.tex 0 → 100644
\begin{tikzpicture}
\newlength{\YShift}
\newlength{\XShift}
\setlength{\YShift}{0.8\base}
\setlength{\XShift}{0.8\base}
\tikzstyle{modelnode} = [rectangle,draw,rounded corners=2pt,inner sep=0pt,minimum height=4.2em,minimum width=2em,font=\small,anchor=north]
\coordinate (stu01) at (0,0);
\coordinate (stu02) at ([xshift=3em]stu01);
\coordinate (stu03) at ([xshift=3em]stu02);
\coordinate (stu04) at ([xshift=3em]stu03);
\coordinate (stu05) at ([xshift=3em]stu04);
\coordinate (tea01) at ([xshift=8em]stu05);
\coordinate (tea02) at ([xshift=3em]tea01);
% iterations
\foreach \curr / \prev in {1/0,2/1,3/2}
{
% models
\node[modelnode,fill=yellow!20] (stu\curr1) at ([yshift=-2em]stu\prev1.south) {\rotatebox{90}{Student $1$}};
\node[modelnode,fill=yellow!20] (stu\curr2) at ([yshift=-2em]stu\prev2.south) {\rotatebox{90}{Student $2$}};
\node[modelnode,fill=yellow!20] (stu\curr3) at ([yshift=-2em]stu\prev3.south) {\rotatebox{90}{Student $3$}};
\node[modelnode,fill=yellow!20] (stu\curr4) at ([yshift=-2em]stu\prev4.south) {\rotatebox{90}{Student $4$}};
\node[modelnode,fill=yellow!20] (stu\curr5) at ([yshift=-2em]stu\prev5.south) {\rotatebox{90}{Student $5$}};
\node[modelnode] (tea\curr1) at ([yshift=-2em]tea\prev1.south) {\rotatebox{90}{\color{red!60} Teacher $1$}};
\node[modelnode] (tea\curr2) at ([yshift=-2em]tea\prev2.south) {\rotatebox{90}{\color{blue!60} Teacher $2$}};
% ensemble labels
\draw[-latex'] ([xshift=2pt]stu\curr5.east) to node [auto] {\small Ensemble} ([xshift=-2pt]tea\curr1.west);
}
% iteration labels
\node[font=\small,anchor=east,purple!80] (iterate1) at ([xshift=-1em]stu21.west) {\rotatebox{90}{Iteration $1$}};
\node[font=\small,anchor=east,purple!80] (iterate2) at ([xshift=-1em]stu31.west) {\rotatebox{90}{Iteration $2$}};
% distillation labels
\node[font=\small,anchor=south west] (distill1) at ([yshift=0.2em]iterate1.north west) {Distillation};
\node[font=\small,anchor=south west] (distill2) at ([yshift=0.2em]iterate2.north west) {Distillation};
% student groups
\begin{pgfonlayer}{background}
\node[rectangle,draw,very thick,red!60,densely dotted,inner sep=2pt,rounded corners=2pt,fill=red!20] [fit = (stu21) (stu22) (stu23) ] (group21) {};
\node[rectangle,draw,very thick,blue!60,densely dotted,inner sep=2pt,rounded corners=2pt,fill=blue!20] [fit = (stu24) (stu25) ] (group22) {};
\node[rectangle,draw,very thick,blue!60,densely dotted,inner sep=2pt,rounded corners=2pt,fill=blue!20] [fit = (stu31) (stu32) ] (group31) {};
\node[rectangle,draw,very thick,red!60,densely dotted,inner sep=2pt,rounded corners=2pt,fill=red!20] [fit = (stu33) (stu34) (stu35) ] (group32) {};
\end{pgfonlayer}
% distillation
\draw[-latex',red!60,very thick] (tea11.south) .. controls +(south:1.5em) and +(north:2em) .. (group21.north);
\draw[-latex',blue!60,very thick] (tea12.south) .. controls +(south:2em) and +(north:1.5em) .. (group22.north);
\draw[-latex',red!60,very thick] (tea21.south) .. controls +(south:2em) and +(north:2.5em) .. (group32.north);
\draw[-latex',blue!60,very thick] (tea22.south) .. controls +(south:2em) and +(north:1.5em) .. (group31.north);
\end{tikzpicture}
\ No newline at end of file
Chapter13/Figures/figure-increase-the-encoder.tex 0 → 100644
\begin{tikzpicture}
\setlength{\base}{1.2em}
\tikzstyle{node} = [rounded corners=1pt,minimum width=1.2em,minimum height=1.2em,draw,fill=green!30!white]
\tikzstyle{node2} = [rounded corners=1pt,minimum width=1.2em,minimum height=1.2em,draw,fill=blue!30!white]
\node[node] (enc1) at (0,0) {};
\node[node] (enc2) at ([xshift = \base]enc1.east) {};
\node[node] (enc3) at ([xshift = \base]enc2.east) {};
\node[node] (enc4) at ([xshift = \base]enc3.east) {};
\node[node] (enc5) at ([xshift = \base]enc4.east) {};
\node[node] (enc6) at ([xshift = \base]enc5.east) {};
\node[] (enc7) at ([xshift = \base]enc6.east) {...};
\node[node] (enc8) at ([xshift = \base]enc7.east) {};
\node[node] (enc9) at ([xshift = \base]enc8.east) {};
\node[node] (enc10) at ([xshift = \base]enc9.east) {};
\node[font=\scriptsize,rotate=270] (src) at ([xshift = -\base]enc1.west) {src};
\draw [->] ([xshift=-0.75em]enc1.west) -- (enc1.west);
\draw [decorate,decoration={brace}] ([yshift=0.3em]enc1.north west) to node [auto,anchor=south,font=\scriptsize] {$N$x} ([yshift=0.3em]enc10.north east);
\draw [->] (enc1.east) -- (enc2.west);
\draw [->] (enc2.east) -- (enc3.west);
\draw [->] (enc3.east) -- (enc4.west);
\draw [->] (enc4.east) -- (enc5.west);
\draw [->] (enc5.east) -- (enc6.west);
\draw [->] (enc8.east) -- (enc9.west);
\draw [->] (enc9.east) -- (enc10.west);
\node[node2,anchor=north] (dec1) at ([yshift=-2em]enc1.south) {};
\node[node2,anchor=north] (dec2) at ([yshift=-2em]enc2.south) {};
\node[node2,anchor=north] (dec3) at ([yshift=-2em]enc3.south) {};
\node[node2,anchor=north] (dec4) at ([yshift=-2em]enc4.south) {};
\node[node2,anchor=north] (dec5) at ([yshift=-2em]enc5.south) {};
\node[node2,anchor=north] (dec6) at ([yshift=-2em]enc6.south) {};
\node[font=\scriptsize,rotate=270] (tgt) at ([xshift = -\base]dec1.west) {tgt};
\node[font=\scriptsize,rotate=270] (tgt) at ([xshift = \base]dec6.east) {out};
\draw [->] ([xshift=-0.75em]dec1.west) -- (dec1.west);
\draw [->] (dec6.east) -- ([xshift=0.75em]dec6.east);
\draw [decorate,decoration={brace,mirror}] ([yshift=-0.3em]dec1.south west) to node [auto,anchor=north,font=\scriptsize] {6x} ([yshift=-0.3em]dec6.south east);
\draw [->] (dec1.east) -- (dec2.west);
\draw [->] (dec2.east) -- (dec3.west);
\draw [->] (dec3.east) -- (dec4.west);
\draw [->] (dec4.east) -- (dec5.west);
\draw [->] (dec5.east) -- (dec6.west);
\node[node] (enc_legend) at ([xshift = 2\base]enc10.east) {};
\node[node2,anchor=north] (dec_legend) at ([yshift = -\base]enc_legend.south) {};
\node[font=\scriptsize,anchor=west] (line1) at (enc_legend.east) {:编码层};
\node[font=\scriptsize,anchor=west] (line1) at (dec_legend.east) {:解码层};
%\node[node] (dec1) at ([xshift=4em]enc1.east) {Decoder};
%\node[node2] (enc2) at ([xshift=4em]dec1.east) {Encoder};
%\node[node] (dec2) at ([xshift=4em]enc2.east) {Decoder};
\coordinate (c1) at ([xshift=1em]enc10.east);
\coordinate (c2) at ([yshift=-1.6em]c1.south);
\draw [->,rounded corners] (enc10.east) -- (c1) -- (c2)--([yshift=1em]dec1.north) -- (dec1.north);
\draw [->,rounded corners] (enc10.east) -- (c1) -- (c2)--([yshift=1em]dec2.north) -- (dec2.north);
\draw [->,rounded corners] (enc10.east) -- (c1) -- (c2)--([yshift=1em]dec3.north) -- (dec3.north);
\draw [->,rounded corners] (enc10.east) -- (c1) -- (c2)--([yshift=1em]dec4.north) -- (dec4.north);
\draw [->,rounded corners] (enc10.east) -- (c1) -- (c2)--([yshift=1em]dec5.north) -- (dec5.north);
\draw [->,rounded corners] (enc10.east) -- (c1) -- (c2)--([yshift=1em]dec6.north) -- (dec6.north);
\end{tikzpicture}
\ No newline at end of file
Chapter13/Figures/figure-label-smoothing.tex 0 → 100644
\begin{tikzpicture}
\node[font=\scriptsize] (model) at (0,0) {Model Output:};
\node[anchor=north west,font=\scriptsize] (label_smooth) at ([yshift=-1.8em]model.south west) {Label Smoothing:};
\node[anchor=south west,font=\scriptsize] (one-hot) at ([yshift=2em]model.north west) {One-hot:};
%model out
\node [anchor=west,minimum width=1.2em,minimum height=0.2em,fill=ublue!80,inner sep=0pt] (model_label1) at ([xshift=1.5em,yshift=-0.5em]model.east) {};
\node [anchor=south,font=\scriptsize] (model_w1) at (model_label1.north) {$p_{1}$};
\node [anchor=south west,minimum width=1.2em,minimum height=0.1em,fill=ublue!80,inner sep=0pt] (model_label2) at (model_label1.south east) {};
\node [anchor=south,font=\scriptsize] (model_w2) at (model_label2.north) {$p_{2}$};
\node [anchor=south west,minimum width=1.2em,minimum height=0.7em,fill=ublue!80,inner sep=0pt] (model_label3) at (model_label2.south east) {};
\node [anchor=south,font=\scriptsize] (model_w3) at (model_label3.north) {{\color{red} $p_{3}$}};
\node [anchor=south west,minimum width=1.2em,minimum height=0.4em,fill=ublue!80,inner sep=0pt] (model_label4) at (model_label3.south east) {};
\node [anchor=south,font=\scriptsize] (model_w5) at (model_label4.north) {$p_{4}$};
\node [anchor=south west,minimum width=1.2em,minimum height=0.1em,fill=ublue!80,inner sep=0pt] (model_label5) at (model_label4.south east) {};
\node [anchor=south,font=\scriptsize] (model_w6) at (model_label5.north) {$p_{5}$};
\node [anchor=south west,minimum width=1.2em,minimum height=0.3em,fill=ublue!80,inner sep=0pt] (model_label6) at (model_label5.south east) {};
\node [anchor=south,font=\scriptsize] (model_w7) at (model_label6.north) {$p_{6}$};
\node [anchor=south west,minimum width=1.2em,minimum height=0.2em,fill=ublue!80,inner sep=0pt] (model_label7) at (model_label6.south east) {};
\node [anchor=south,font=\scriptsize] (model_w8) at (model_label7.north) {$p_{7}$};
%no label smooth
\node [anchor=west,minimum width=1.2em,minimum height=0.05em,fill=orange!50,inner sep=0pt,font=\tiny] (one_hot_label1) at ([xshift=1.5em,yshift=3em]model.east) {};
\node [anchor=south,font=\scriptsize] (one_hot_w1) at (one_hot_label1.north) {$0$};
\node [anchor=south west,minimum width=1.2em,minimum height=0.05em,fill=orange!50,inner sep=0pt,font=\tiny] (one_hot_label2) at (one_hot_label1.south east) {};
\node [anchor=south,font=\scriptsize] (one_hot_w2) at (one_hot_label2.north) {$0$};
\node [anchor=south west,minimum width=1.2em,minimum height=1.5em,fill=orange!50,inner sep=0pt] (one_hot_label3) at (one_hot_label2.south east) {};
\node [anchor=south,font=\scriptsize] (one_hot_w3) at (one_hot_label3.north) {{\color{red} $1$}};
\node [anchor=south west,minimum width=1.2em,minimum height=0.05em,fill=orange!50,inner sep=0pt,font=\tiny] (one_hot_label4) at (one_hot_label3.south east) {};
\node [anchor=south,font=\scriptsize] (one_hot_w4) at (one_hot_label4.north) {$0$};
\node [anchor=south west,minimum width=1.2em,minimum height=0.05em,fill=orange!50,inner sep=0pt,font=\tiny] (one_hot_label5) at (one_hot_label4.south east) {};
\node [anchor=south,font=\scriptsize] (one_hot_w5) at (one_hot_label5.north) {$0$};
\node [anchor=south west,minimum width=1.2em,minimum height=0.05em,fill=orange!50,inner sep=0pt,font=\tiny] (one_hot_label6) at (one_hot_label5.south east) {};
\node [anchor=south,font=\scriptsize] (one_hot_w6) at (one_hot_label6.north) {$0$};
\node [anchor=south west,minimum width=1.12em,minimum height=0.05em,fill=orange!50,inner sep=0pt,font=\tiny] (one_hot_label7) at (one_hot_label6.south east) {};
\node [anchor=south,font=\scriptsize] (one_hot_w7) at (one_hot_label7.north) {$0$};
%label smoothing
\node [anchor=west,minimum width=1.2em,minimum height=0.2em,fill=red!50,inner sep=0pt] (label1) at ([xshift=1.5em,yshift=-3.2em]model.east) {};
\node [anchor=south,font=\scriptsize] (w1) at (label1.north) {$0.1$};
\node [anchor=south west,minimum width=1.2em,minimum height=0.2em,fill=red!50,inner sep=0pt] (label2) at (label1.south east) {};
\node [anchor=south,font=\scriptsize] (w2) at (label2.north) {$0.1$};
\node [anchor=south west,minimum width=1.2em,minimum height=0.8em,fill=red!50,inner sep=0pt] (label3) at (label2.south east) {};
\node [anchor=south,font=\scriptsize] (w3) at (label3.north) {{\color{red} $0.4$}};
\node [anchor=south west,minimum width=1.2em,minimum height=0.2em,fill=red!50,inner sep=0pt] (label4) at (label3.south east) {};
\node [anchor=south,font=\scriptsize] (w5) at (label4.north) {$0.1$};
\node [anchor=south west,minimum width=1.2em,minimum height=0.2em,fill=red!50,inner sep=0pt] (label5) at (label4.south east) {};
\node [anchor=south,font=\scriptsize] (w6) at (label5.north) {$0.1$};
\node [anchor=south west,minimum width=1.2em,minimum height=0.2em,fill=red!50,inner sep=0pt] (label6) at (label5.south east) {};
\node [anchor=south,font=\scriptsize] (w7) at (label6.north) {$0.1$};
\node [anchor=south west,minimum width=1.2em,minimum height=0.2em,fill=red!50,inner sep=0pt] (label7) at (label6.south east) {};
\node [anchor=south,font=\scriptsize] (w8) at (label7.north) {$0.1$};
\node[font=\scriptsize] (line1) at ([xshift=9em,yshift=-1.5em]model_label7.east) {$loss =-0.3 \log p_{3}-\sum_{i=1}^{7} 0.1 \log p_{i}$};
\node[font=\scriptsize] (line2) at ([xshift=5.9em,yshift=3.5em]model_label7.east) {$loss =-\log p_{3}$};
\begin{pgfonlayer}{background}
\node [rectangle,inner sep=0.1em,rounded corners=1pt,very thick,dotted,draw=red] [fit = (one_hot_label1) (one_hot_w3) (one_hot_label7) (model_label1) (model_label7)] (box1) {};
\node [rectangle,inner sep=0.2em,rounded corners=1pt,fill=purple!10,drop shadow,draw=purple] [fit = (line2)] (box3) {};
\draw [->,dotted,very thick,red] ([yshift=-1em]box1.east) .. controls +(east:1) and +(west:1) .. (box3.west);
\node [rectangle,inner sep=0.1em,rounded corners=1pt,very thick,dotted,draw=ugreen] [fit = (label1) (label7) (model_label1) (model_label7) (model_w3)] (box2) {};
\node [rectangle,inner sep=0.2em,rounded corners=1pt,fill=green!10,drop shadow,draw=ugreen] [fit = (line1)] (box4) {};
\draw [->,dotted,very thick,ugreen] ([yshift=1em]box2.east) .. controls +(east:1) and +(west:1) .. (box4.west);
\end{pgfonlayer}
\end{tikzpicture}
\ No newline at end of file
Chapter13/Figures/figure-network-with-dropout.tex 0 → 100644
\begin{tikzpicture}
\def\neuronsep{1}
\tikzstyle{neuronnode} = [minimum size=1.0em,circle,draw,thick,ublue,inner sep=1pt, fill=white,align=center]
%standard
\foreach \n in {1,...,4}{
\node [neuronnode] (neuron0\n) at (0,\n * \neuronsep) {};
}
\foreach \n in {1,...,4}{
\node [neuronnode] (neuron1\n) at (1.2\neuronsep ,\n * \neuronsep) {};
}
\foreach \n in {1,...,4}{
\node [neuronnode] (neuron2\n) at (2.4*\neuronsep ,\n * \neuronsep) {};
}
\node [neuronnode] (neuron3) at (3.6*\neuronsep ,2.5 * \neuronsep) {};
\foreach \n in {1,...,4}{
\foreach \m in {1,...,4}{
\draw [->] (neuron0\n.east) -- (neuron1\m.west);
}
}
\foreach \n in {1,...,4}{
\foreach \m in {1,...,4}{
\draw [->] (neuron1\n.east) -- (neuron2\m.west);
}
}
\foreach \n in {1,...,4}{
\draw [->] (neuron2\n.east) -- (neuron3.west);
}
%drop
%layer1
\foreach \n in {1,3,4}{
\node [neuronnode] (neuron4\n) at (5*\neuronsep,\n * \neuronsep) {};
}
\node [neuronnode,dashed] (neuron42) at (5*\neuronsep,2 * \neuronsep) {};
%layer1
\foreach \n in {1,2,4}{
\node [neuronnode] (neuron5\n) at (6.2*\neuronsep ,\n * \neuronsep) {};
}
\node [neuronnode,dashed] (neuron53) at (6.2*\neuronsep,3 * \neuronsep) {};
%layer3
\foreach \n in {1,4}{
\node [neuronnode] (neuron6\n) at (7.4*\neuronsep ,\n * \neuronsep) {};
}
\node [neuronnode,dashed] (neuron62) at (7.4*\neuronsep ,2 * \neuronsep) {};
\node [neuronnode,dashed] (neuron63) at (7.4*\neuronsep ,3 * \neuronsep) {};
%layer4
\node [neuronnode] (neuron7) at (8.6*\neuronsep ,2.5 * \neuronsep) {};
\foreach \n in {1,3,4}{
\foreach \m in {1,2,4}{
\draw [->] (neuron4\n.east) -- (neuron5\m.west);
}
}
\foreach \n in {1,2,4}{
\foreach \m in {1,4}{
\draw [->] (neuron5\n.east) -- (neuron6\m.west);
}
}
\foreach \n in {1,4}{
\draw [->] (neuron6\n.east) -- (neuron7.west);
}
\end{tikzpicture}
\ No newline at end of file
Chapter13/Figures/figure-norm.tex 0 → 100644
\begin{tikzpicture}
\tikzstyle{sublayernode} = [rectangle,draw,thick,inner sep=3pt,rounded corners=2pt,align=center,minimum height=1.5em,minimum width=1.5em,font=\scriptsize]
\tikzstyle{inputnode} = [rectangle,inner sep=3pt,align=center,font=\scriptsize]
%\tikzstyle{circlenode} = [circle,draw,thick,minimum size=0.3\base,font=\small,inner sep=0pt]
\tikzstyle{mnode} = [circle,thick,minimum size=0.7em,font=\small,inner sep=0pt,draw]
\node[anchor=south west,inputnode] (input) at (0,0) {$x_{i}^{l}$};
\node[anchor=west,sublayernode,fill=red!10] (ln) at ([xshift=1.2em]input.east) {LN};
\node[anchor=west,sublayernode,fill=green!10] (fn) at ([xshift=1.2em]ln.east) {F};
\node[anchor=west,mnode] (m) at ([xshift=2em]fn.east) {};
\node[] (res) at ([xshift=2.4em]fn.east) {+};
\node[anchor=west,sublayernode,fill=red!10] (ln1) at ([xshift=2em]m.east) {LN};
\node[anchor=west,sublayernode,fill=green!10] (fn1) at ([xshift=1.2em]ln1.east) {F};
\node[anchor=west,mnode] (m1) at ([xshift=2em]fn1.east) {};
\node[] (res1) at ([xshift=2.4em]fn1.east) {+};
\node[anchor=west,inputnode] (output) at ([xshift=1.2em]res1.east) {$x_{i}^{l+1}$};
\node[anchor=west,inputnode] (legend1) at (6em,-1em) {(a) 标准Transformer网络};
%\coordinate (mend) at ([xshift=1em]m.west);
\draw[-latex',thick] (input)--(ln);
\draw[-latex',thick] (ln)--(fn);
\draw[-latex',thick] (fn)--(m);
%\draw[-,thick] (mend)--(res);
\coordinate (h) at ([xshift=-0.7em]ln.west);
\draw[-latex',thick,rounded corners] (h) -- ([yshift=1.35em]h.north) -- ([yshift=1em]m.north) -- (m.north);
%\coordinate (mend1) at ([xshift=1.0\hseg]m1.west);
\draw[-latex',thick] (m)--(ln1);
\draw[-latex',thick] (ln1)--(fn1);
\draw[-latex',thick] (fn1)--(m1);
%\draw[-,thick] (mend1)--(res1);
\draw[-latex',thick] (m1)--(output);
\coordinate (h1) at ([xshift=-0.7em]ln1.west);
\draw[-latex',thick,rounded corners] (h1) -- ([yshift=1.35em]h1.north) -- ([yshift=1em]m1.north) -- (m1.north);
%--------------------------------------------------------
\node[anchor=south west,inputnode] (input_2) at (0,-6em) {$x_{i}^{l}$};
\node[anchor=west,sublayernode,fill=red!10] (ln_2) at ([xshift=1.2em]input_2.east) {LN};
\node[anchor=west,sublayernode,fill=green!10] (fn_2) at ([xshift=1.2em]ln_2.east) {F};
\node[anchor=west,mnode] (m_2) at ([xshift=2em]fn_2.east) {};
\node[] (res_2) at ([xshift=2.4em]fn_2.east) {+};
\node[anchor=west,sublayernode,fill=red!10] (ln1_2) at ([xshift=2em]m_2.east) {LN};
\node[anchor=west,sublayernode,fill=green!10] (fn1_2) at ([xshift=1.2em]ln1_2.east) {F};
\node[anchor=west,mnode] (m1_2) at ([xshift=2em]fn1_2.east) {};
\node[] (res1_2) at ([xshift=2.4em]fn1_2.east) {+};
\node[anchor=west,inputnode] (output_2) at ([xshift=1.2em]res1_2.east) {$x_{i}^{l+1}$};
\node[anchor=west,inputnode] (legend2) at (2.5em,-7.5em) {(b) 引入Layer Dropout后的Transformer网络};
\node[anchor=south west,inputnode,red,font=\tiny] (mlable) at ([xshift=-2.2em,yshift=-0.6em]m_2.south) {M=1};
\node[anchor=south west,inputnode,red,font=\tiny] (mlable1) at ([xshift=-2.2em,yshift=-0.6em]m1_2.south) {M=0};
\coordinate (start_1) at ([xshift=-1.3em]m_2.west);
\coordinate (end_1) at ([xshift=-0.5em]m_2.west);
%\node[red,font=\scriptsize] (dot1) at (start_1) {$\cdot$};
\draw[-latex',thick] (input_2)--(ln_2);
\draw[-latex',thick] (ln_2)--(fn_2);
\draw[-latex',thick] (fn_2)--(start_1);
\draw[-,thick,red] (start_1)--(end_1);
\draw[-,thick] (end_1)--(m_2);
%\draw[-,thick] (mend)--(res);
\coordinate (h_2) at ([xshift=-0.7em]ln_2.west);
\draw[-latex',thick,rounded corners] (h_2) -- ([yshift=1.35em]h_2.north) -- ([yshift=1em]m_2.north) -- (m_2.north);
%\coordinate (mend1) at ([xshift=1.0\hseg]m1.west);
\coordinate (start_2) at ([xshift=-1.3em]m1_2.west);
\coordinate (end_2) at ([xshift=-0.5em]m1_2.west);
\draw[-latex',thick] (m_2)--(ln1_2);
\draw[-latex',thick] (ln1_2)--(fn1_2);
\draw[-latex',thick] (fn1_2)--(start_2);
\draw[-,thick,red] (start_2)--([yshift=0.3em]end_2);
\draw[-,thick] (end_2)--(m1_2);
%\draw[-,thick] (mend1)--(res1);
\draw[-latex',thick] (m1_2)--(output_2);
\coordinate (h1_2) at ([xshift=-0.7em]ln1_2.west);
\draw[-latex',thick,rounded corners] (h1_2) -- ([yshift=1.35em]h1_2.north) -- ([yshift=1em]m1_2.north) -- (m1_2.north);
\end{tikzpicture}
\ No newline at end of file
Chapter13/Figures/figure-randomly-generation-vs-generate-by-sentence-length.tex 0 → 100644
\begin{tikzpicture}
\tikzstyle{node} = [minimum height=1.0*1.2em,draw,fill=green!20]
\node[node,minimum width=2.0*1.2em] (sent1) at (0,0) {};
\node[node,minimum width=5.0*1.2em,anchor=north west] (sent2) at (sent1.south west) {};
\node[node,minimum width=1.0*1.2em,anchor=north west] (sent3) at (sent2.south west) {};
\node[node,minimum width=3.0*1.2em,anchor=north west] (sent4) at (sent3.south west) {};
\node[node,minimum width=4.0*1.2em] (sent5) at (14em,0) {};
\node[node,minimum width=4.5*1.2em,anchor=north west] (sent6) at (sent5.south west) {};
\node[node,minimum width=4.5*1.2em,anchor=north west] (sent7) at (sent6.south west) {};
\node[node,minimum width=5*1.2em,anchor=north west] (sent8) at (sent7.south west) {};
\node[font=\footnotesize,anchor=east] (line1) at (sent1.west) {句子1};
\node[font=\footnotesize,anchor=east] (line2) at (sent2.west) {句子2};
\node[font=\footnotesize,anchor=east] (line3) at (sent3.west) {句子3};
\node[font=\footnotesize,anchor=east] (line4) at (sent4.west) {句子4};
\node[font=\footnotesize,anchor=east] (line5) at (sent5.west) {句子1};
\node[font=\footnotesize,anchor=east] (line6) at (sent6.west) {句子2};
\node[font=\footnotesize,anchor=east] (line7) at (sent7.west) {句子3};
\node[font=\footnotesize,anchor=east] (line8) at (sent8.west) {句子4};
\begin{pgfonlayer}{background}
\node [rectangle,inner sep=-0.0em,draw] [fit = (sent1) (sent2) (sent3) (sent4)] (box1) {};
\node [rectangle,inner sep=-0.0em,draw] [fit = (sent5) (sent6) (sent7) (sent8)] (box2) {};
\end{pgfonlayer}
\node[font=\footnotesize] (node1) at ([yshift=-3.4em]sent2.south) {随机生成};
\node[font=\footnotesize] (node2) at ([yshift=-1em]sent8.south) {排序生成};
\end{tikzpicture}
\ No newline at end of file
Chapter13/Figures/figure-underfitting-vs-overfitting.tex 0 → 100644
\begin{tabular}{l l l}
\begin{tikzpicture}
\draw[->, thick] (0,0) to (3,0);
\draw[->, thick] (0,-0) to (0,2);
\node (a) at (1*0.3,6*0.2) {};
\node (b) at (2*0.3,4*0.2) {};
\node (c) at (3*0.3,3*0.2) {};
\node (d) at (4*0.3,3*0.2) {};
\node (e) at (6*0.3,4*0.2) {};
\node (f) at (7*0.3,6*0.2) {};
\node (g) at (8*0.3,8.4*0.2) {};
\node (h) at (9*0.3,9.7*0.2) {};
\fill [black] (a) circle(1pt);
\fill [black] (b) circle(1pt);
\fill [black] (c) circle(1pt);
\fill [black] (d) circle(1pt);
\fill [black] (e) circle(1pt);
\fill [black] (f) circle(1pt);
\fill [black] (g) circle(1pt);
\fill [black] (h) circle(1pt);
% y=0.73x + 2.54
\draw [thick,red] (0.5*0.3,1.81*0.2) to (10*0.3,9.84*0.2);
\node [font=\footnotesize] at (1.5,-0.5) {欠拟合};
\end{tikzpicture}
&\begin{tikzpicture}
\draw[->, thick] (0,0) to (3,0);
\draw[->, thick] (0,-0) to (0,2);
\node (a) at (1*0.3,6*0.2) {};
\node (b) at (2*0.3,4*0.2) {};
\node (c) at (3*0.3,3*0.2) {};
\node (d) at (4*0.3,3*0.2) {};
\node (e) at (6*0.3,4*0.2) {};
\node (f) at (7*0.3,6*0.2) {};
\node (g) at (8*0.3,8.4*0.2) {};
\node (h) at (9*0.3,9.7*0.2) {};
\fill [black] (a) circle(1pt);
\fill [black] (b) circle(1pt);
\fill [black] (c) circle(1pt);
\fill [black] (d) circle(1pt);
\fill [black] (e) circle(1pt);
\fill [black] (f) circle(1pt);
\fill [black] (g) circle(1pt);
\fill [black] (h) circle(1pt);
\draw [thick,red] (0.5*0.3,6.15*0.2) to [bend right] (5*0.3,3*0.2) ;
\draw [thick,red] (5*0.3,3*0.2) to [bend right] (8.5*0.3,10*0.2) ;
\node [font=\footnotesize] at (1.5,-0.5) {拟合合适};
\end{tikzpicture}
&\begin{tikzpicture}
\draw[->, thick] (0,0) to (3,0);
\draw[->, thick] (0,-0) to (0,2);
\node (a) at (1*0.3,6*0.2) {};
\node (b) at (2*0.3,4*0.2) {};
\node (c) at (3*0.3,3*0.2) {};
\node (d) at (4*0.3,3*0.2) {};
\node (e) at (6*0.3,4*0.2) {};
\node (f) at (7*0.3,6*0.2) {};
\node (g) at (8.4*0.3,8.4*0.2) {};
\node (h) at (9.4*0.3,9.7*0.2) {};
\fill [black] (a) circle(1pt);
\fill [black] (b) circle(1pt);
\fill [black] (c) circle(1pt);
\fill [black] (d) circle(1pt);
\fill [black] (e) circle(1pt);
\fill [black] (f) circle(1pt);
\fill [black] (g) circle(1pt);
\fill [black] (h) circle(1pt);
%0-a
\draw [thick,red] (0.2*0.3,4*0.2) to [bend left] (1*0.3,6*0.2) ;
% a-b
\draw [thick,red] (1*0.3,6*0.2) to [bend left] (2*0.3,3*0.2) ;
% b-c
\draw [thick,red] (2*0.3,3*0.2) to [bend right] (3*0.3,2.5*0.2) ;
% c-d
\draw [thick,red] (3*0.3,2.5*0.2) to [bend left] (3.5*0.3,4*0.2) ;
\draw [thick,red] (3.5*0.3,4*0.2) to [bend left] (4.3*0.3,2*0.2) ;
\draw [thick,red] (4.3*0.3,2*0.2) to [bend right] (5*0.3,1.5*0.2) ;
% d-e
\draw [thick,red] (5*0.3,1.5*0.2) to [bend right] (6.2*0.3,7*0.2) ;
\draw [thick,red] (6.2*0.3,7*0.2) to [bend right] (6.5*0.3,7*0.2) ;
% e-f
\draw [thick,red] (6.5*0.3,7*0.2) to [bend left] (7*0.3,5*0.2) ;
\draw [thick,red] (7*0.3,5*0.2) to [bend right] (7.5*0.3,4*0.2) ;
\draw [thick,red] (7.5*0.3,4*0.2) to [bend right] (8*0.3,4*0.2) ;
%
% f-g
\draw [thick,red] (8*0.3,4*0.2) to [bend right] (8*0.3,10*0.2) ;
\draw [thick,red] (8*0.3,10*0.2) to [bend left] (8.7*0.3,10*0.2) ;
% g-h
\draw [thick,red] (8.7*0.3,10*0.2) to [bend left] (9.7*0.3,9.4*0.2) ;
\node [font=\footnotesize] at (1.5,-0.5) {过拟合};
\end{tikzpicture} \\
\end{tabular}
\ No newline at end of file
Chapter2/chapter2.tex
......@@ -214,7 +214,7 @@ P(A)=\sum_{k=1}^n P(A \mid B_k)P(B_k)
\label{eq:2-10}
\end{eqnarray}
\parinterval {\small\sffamily\bfseries{贝叶斯法则}}\index{贝叶斯法则}（Bayes' rule）\index{Bayes' rule}是概率论中的一个经典公式，通常用于已知$P(A \mid B)$求$P(B \mid A)$。可以表述为：设$\{B_1, \ldots ,B_n\}$是$S$的一个划分，$A$为事件，则对于$i=1, \ldots ,n$，有如下公式
\parinterval {\small\sffamily\bfseries{贝叶斯法则}}\index{贝叶斯法则}（Bayes' Rule）\index{Bayes' Rule}是概率论中的一个经典公式，通常用于已知$P(A \mid B)$求$P(B \mid A)$。可以表述为：设$\{B_1, \ldots ,B_n\}$是$S$的一个划分，$A$为事件，则对于$i=1, \ldots ,n$，有如下公式
\begin{eqnarray}
P(B_i \mid A) & = & \frac {P(A B_i)} { P(A) } \nonumber \\
& = & \frac {P(A \mid B_i)P(B_i) } { \sum_{k=1}^nP(A \mid B_k)P(B_k) }
......
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