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mtbookv2
Commits
d0d33685
Commit
d0d33685
authored
Aug 14, 2020
by
单韦乔
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第13章-旧版本内容重组
parent
cbf2b2e6
全部展开
隐藏空白字符变更
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11 个修改的文件
包含
619 行增加
和
0 行删除
+619
-0
Chapter13/Figures/figure-batch-generation-method.tex
+55
-0
Chapter13/Figures/figure-computation-of-dropout.tex
+72
-0
Chapter13/Figures/figure-difference-between-word-level-and-sequence-level-in-knowledge-distillation.tex
+0
-0
Chapter13/Figures/figure-ensemble-knowledge-distillation.tex
+60
-0
Chapter13/Figures/figure-increase-the-encoder.tex
+61
-0
Chapter13/Figures/figure-label-smoothing.tex
+74
-0
Chapter13/Figures/figure-network-with-dropout.tex
+78
-0
Chapter13/Figures/figure-norm.tex
+85
-0
Chapter13/Figures/figure-randomly-generation-vs-generate-by-sentence-length.tex
+31
-0
Chapter13/Figures/figure-underfitting-vs-overfitting.tex
+103
-0
Chapter13/chapter13.tex
+0
-0
没有找到文件。
Chapter13/Figures/figure-batch-generation-method.tex
0 → 100644
查看文件 @
d0d33685
\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)
{}
;
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[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)
{}
;
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[node,minimum width=3.2*1.2em,anchor=north west]
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;
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(node8) at (node7.south west)
{}
;
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(line1) at (node1.west)
{
GPU1
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;
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(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]
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{}
;
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[node,minimum width=3.2*1.2em,anchor=north west]
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[node,minimum width=3.0*1.2em,anchor=north west]
(node12) at (node11.south west)
{}
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\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
查看文件 @
d0d33685
\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-difference-between-word-level-and-sequence-level-in-knowledge-distillation.tex
0 → 100644
查看文件 @
d0d33685
差异被折叠。
点击展开。
Chapter13/Figures/figure-ensemble-knowledge-distillation.tex
0 → 100644
查看文件 @
d0d33685
\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
\curr
1) at ([yshift=-2em]stu
\prev
1.south)
{
\rotatebox
{
90
}{
Student
$
1
$}}
;
\node
[modelnode,fill=yellow!20]
(stu
\curr
2) at ([yshift=-2em]stu
\prev
2.south)
{
\rotatebox
{
90
}{
Student
$
2
$}}
;
\node
[modelnode,fill=yellow!20]
(stu
\curr
3) at ([yshift=-2em]stu
\prev
3.south)
{
\rotatebox
{
90
}{
Student
$
3
$}}
;
\node
[modelnode,fill=yellow!20]
(stu
\curr
4) at ([yshift=-2em]stu
\prev
4.south)
{
\rotatebox
{
90
}{
Student
$
4
$}}
;
\node
[modelnode,fill=yellow!20]
(stu
\curr
5) at ([yshift=-2em]stu
\prev
5.south)
{
\rotatebox
{
90
}{
Student
$
5
$}}
;
\node
[modelnode]
(tea
\curr
1) at ([yshift=-2em]tea
\prev
1.south)
{
\rotatebox
{
90
}{
\color
{
red!60
}
Teacher
$
1
$}}
;
\node
[modelnode]
(tea
\curr
2) at ([yshift=-2em]tea
\prev
2.south)
{
\rotatebox
{
90
}{
\color
{
blue!60
}
Teacher
$
2
$}}
;
% ensemble labels
\draw
[-latex']
([xshift=2pt]stu
\curr
5.east) to node [auto]
{
\small
Ensemble
}
([xshift=-2pt]tea
\curr
1.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
查看文件 @
d0d33685
\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
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d0d33685
\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
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d0d33685
\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
查看文件 @
d0d33685
\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
查看文件 @
d0d33685
\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
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;
\node
[font=\footnotesize,anchor=east]
(line8) at (sent8.west)
{
句子4
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;
\begin{pgfonlayer}
{
background
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\node
[rectangle,inner sep=-0.0em,draw] [fit = (sent1) (sent2) (sent3) (sent4)] (box1)
{}
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\node
[rectangle,inner sep=-0.0em,draw] [fit = (sent5) (sent6) (sent7) (sent8)] (box2)
{}
;
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\node
[font=\footnotesize]
(node1) at ([yshift=-3.4em]sent2.south)
{
随机生成
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;
\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
查看文件 @
d0d33685
\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
Chapter13/chapter13.tex
查看文件 @
d0d33685
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