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Commit af60cafc by xiaotong
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wording (sec 9, gradient)

parent 3ff7eff5
正在显示 包含 29 行增加 和 30 行删除
Chapter9/Figures/fig-fit.tex
...@@ -42,10 +42,10 @@ ...@@ -42,10 +42,10 @@
%% sigmoid box %% sigmoid box
\begin{scope} \begin{scope}
{ {
\node [anchor=west] (flabel) at ([xshift=0.5in]y.east) {\scriptsize{sigmoid:}}; \node [anchor=west] (flabel) at ([xshift=0.5in]y.east) {\scriptsize{Sigmoid:}};
\node [anchor=north east] (slabel) at ([xshift=0]flabel.south east) {\scriptsize{sum:}}; \node [anchor=north east] (slabel) at ([xshift=0]flabel.south east) {\scriptsize{Sum:}};
\node [anchor=west,inner sep=2pt] (flabel2) at (flabel.east) {\scriptsize{$f(s)=1/(1+e^{-s})$}}; \node [anchor=west,inner sep=2pt] (flabel2) at (flabel.east) {\scriptsize{$f(s_2)=1/(1+e^{-s_2})$}};
\node [anchor=west,inner sep=2pt] (flabel3) at (slabel.east) {\scriptsize{$s=x_1 \cdot w + b$}}; \node [anchor=west,inner sep=2pt] (flabel3) at (slabel.east) {\scriptsize{$s_2=x_1 \cdot w_2 + b$}};
\draw [->,thick,dotted] ([yshift=-0.3em,xshift=-0.1em]n11.60) .. controls +(east:1) and +(west:2) .. ([xshift=-0.2em]flabel.west) ; \draw [->,thick,dotted] ([yshift=-0.3em,xshift=-0.1em]n11.60) .. controls +(east:1) and +(west:2) .. ([xshift=-0.2em]flabel.west) ;
\begin{pgfonlayer}{background} \begin{pgfonlayer}{background}
...@@ -136,10 +136,10 @@ ...@@ -136,10 +136,10 @@
%% sigmoid box %% sigmoid box
\begin{scope} \begin{scope}
{ {
\node [anchor=west] (flabel) at ([xshift=0.8in]y.east) {\scriptsize{sigmoid:}}; \node [anchor=west] (flabel) at ([xshift=0.8in]y.east) {\scriptsize{Sigmoid:}};
\node [anchor=north east] (slabel) at ([xshift=0]flabel.south east) {\scriptsize{sum:}}; \node [anchor=north east] (slabel) at ([xshift=0]flabel.south east) {\scriptsize{Sum:}};
\node [anchor=west,inner sep=2pt] (flabel2) at (flabel.east) {\scriptsize{$f(s)=1/(1+e^{-s})$}}; \node [anchor=west,inner sep=2pt] (flabel2) at (flabel.east) {\scriptsize{$f(s_2)=1/(1+e^{-s_2})$}};
\node [anchor=west,inner sep=2pt] (flabel3) at (slabel.east) {\scriptsize{$s=x_1 \cdot w + b$}}; \node [anchor=west,inner sep=2pt] (flabel3) at (slabel.east) {\scriptsize{$s_2=x_1 \cdot w_2 + b$}};
\draw [->,thick,dotted] ([yshift=-0.3em,xshift=-0.1em]n11.60) .. controls +(east:1) and +(west:2) .. ([xshift=-0.2em]flabel.west) ; \draw [->,thick,dotted] ([yshift=-0.3em,xshift=-0.1em]n11.60) .. controls +(east:1) and +(west:2) .. ([xshift=-0.2em]flabel.west) ;
\begin{pgfonlayer}{background} \begin{pgfonlayer}{background}
{ {
......
Chapter9/Figures/fig-four-layers-of-neural-network.tex
...@@ -26,12 +26,12 @@ ...@@ -26,12 +26,12 @@
\end{pgfonlayer} \end{pgfonlayer}
\node [anchor=west] (layer00label) at ([xshift=1.3em]x5.east) {\footnotesize{第0层}}; \node [anchor=west] (layer00label) at ([xshift=1.3em]x5.east) {\footnotesize{第0层}};
\node [anchor=west] (layer00label2) at (layer00label.east) {\footnotesize{\red{(输入层)}}}; \node [anchor=west] (layer00label2) at (layer00label.east) {\footnotesize{(输入层)}};
{ {
\node [anchor=west] (layer01label) at ([xshift=1em]layer01.east) {\footnotesize{第1层}}; \node [anchor=west] (layer01label) at ([xshift=1em]layer01.east) {\footnotesize{第1层}};
} }
{ {
\node [anchor=west] (layer01label2) at (layer01label.east) {\footnotesize{\red{({隐层})}}}; \node [anchor=west] (layer01label2) at (layer01label.east) {\footnotesize{({隐层})}};
} }
%%% layer 2 %%% layer 2
...@@ -57,7 +57,7 @@ ...@@ -57,7 +57,7 @@
\node [anchor=west] (layer02label) at ([xshift=4.4em]layer02.east) {\footnotesize{第2层}}; \node [anchor=west] (layer02label) at ([xshift=4.4em]layer02.east) {\footnotesize{第2层}};
{ {
\node [anchor=west] (layer02label2) at (layer02label.east) {\footnotesize{\red{({隐层})}}}; \node [anchor=west] (layer02label2) at (layer02label.east) {\footnotesize{({隐层})}};
} }
} }
...@@ -87,7 +87,7 @@ ...@@ -87,7 +87,7 @@
\node [anchor=west] (layer03label) at ([xshift=1em]layer03.east) {\footnotesize{第3层}}; \node [anchor=west] (layer03label) at ([xshift=1em]layer03.east) {\footnotesize{第3层}};
{ {
\node [anchor=west] (layer03label2) at (layer03label.east) {\footnotesize{\red{({输出层})}}}; \node [anchor=west] (layer03label2) at (layer03label.east) {\footnotesize{({输出层})}};
} }
} }
......
Chapter9/Figures/fig-linear-transformation.tex
...@@ -4,21 +4,21 @@ $$ ...@@ -4,21 +4,21 @@ $$
\begin{smallmatrix} \underbrace{ \begin{smallmatrix} \underbrace{
\left\{ \left\{
\begin{smallmatrix} \begin{smallmatrix}
\left[ \left(
\begin{array}{cccc} \begin{array}{cccc}
1& 0 &0 \\ 1& 0 &0 \\
0& 1 &0 \\ 0& 1 &0 \\
0& 0 &1 0& 0 &1
\end{array} \end{array}
\right ] \right )
\cdots \cdots
\left[ \left(
\begin{array}{cccc} \begin{array}{cccc}
1& 0 &0 \\ 1& 0 &0 \\
0& 1 &0 \\ 0& 1 &0 \\
0& 0 &1 0& 0 &1
\end{array} \end{array}
\right] \right)
\end{smallmatrix} \end{smallmatrix}
\right\} \right\}
}\\5 }\\5
...@@ -37,21 +37,21 @@ $$ ...@@ -37,21 +37,21 @@ $$
\begin{smallmatrix} \underbrace{ \begin{smallmatrix} \underbrace{
\left\{ \left\{
\begin{smallmatrix} \begin{smallmatrix}
\left[ \left(
\begin{array}{cccc} \begin{array}{cccc}
1 \\ 1 \\
1 \\ 1 \\
1 1
\end{array} \end{array}
\right ] \right)
\cdots \cdots
\left[ \left(
\begin{array}{cccc} \begin{array}{cccc}
1 \\ 1 \\
1 \\ 1 \\
1 1
\end{array} \end{array}
\right] \right)
\end{smallmatrix} \end{smallmatrix}
\right\} \right\}
}\\5 }\\5
......
Chapter9/Figures/fig-tensor-sample.tex
...@@ -7,7 +7,7 @@ ...@@ -7,7 +7,7 @@
\begin{tikzpicture} \begin{tikzpicture}
\begin{scope}[yshift=6.5em,xshift=1em] \begin{scope}[yshift=6.5em,xshift=1em]
\setcounter{mycount1}{1} \setcounter{mycount1}{1}
\draw[step=0.5cm,color=orange,line width=0.2mm] (-2,-2) grid (1,1); \draw[step=0.5cm,color=orange,line width=0.4mm] (-2,-2) grid (1,1);
\foreach \y in {+0.5,-0.5,-1.5} \foreach \y in {+0.5,-0.5,-1.5}
\foreach \x in {-1.5,-0.5,0.5}{ \foreach \x in {-1.5,-0.5,0.5}{
\node [fill=orange!20,inner sep=0pt,minimum height=0.98cm,minimum width=0.98cm] at (\x,\y) {\number\value{mycount1}}; \node [fill=orange!20,inner sep=0pt,minimum height=0.98cm,minimum width=0.98cm] at (\x,\y) {\number\value{mycount1}};
...@@ -17,7 +17,7 @@ ...@@ -17,7 +17,7 @@
\begin{scope}[yshift=5.5em,xshift=0em] \begin{scope}[yshift=5.5em,xshift=0em]
\setcounter{mycount2}{2} \setcounter{mycount2}{2}
\draw[step=0.5cm,color=blue,line width=0.2mm] (-2,-2) grid (1,1); \draw[step=0.5cm,color=blue,line width=0.4mm] (-2,-2) grid (1,1);
\foreach \y in {+0.5,-0.5,-1.5} \foreach \y in {+0.5,-0.5,-1.5}
\foreach \x in {-1.5,-0.5,0.5}{ \foreach \x in {-1.5,-0.5,0.5}{
\node [fill=blue!20,inner sep=0pt,minimum height=0.98cm,minimum width=0.98cm] at (\x,\y) {\number\value{mycount2}}; \node [fill=blue!20,inner sep=0pt,minimum height=0.98cm,minimum width=0.98cm] at (\x,\y) {\number\value{mycount2}};
...@@ -27,7 +27,7 @@ ...@@ -27,7 +27,7 @@
\begin{scope}[yshift=4.5em,xshift=-1em] \begin{scope}[yshift=4.5em,xshift=-1em]
\setcounter{mycount3}{3} \setcounter{mycount3}{3}
\draw[step=0.5cm,color=ugreen,line width=0.2mm] (-2,-2) grid (1,1); \draw[step=0.5cm,color=ugreen,line width=0.4mm] (-2,-2) grid (1,1);
\foreach \y in {+0.5,-0.5,-1.5} \foreach \y in {+0.5,-0.5,-1.5}
\foreach \x in {-1.5,-0.5,0.5}{ \foreach \x in {-1.5,-0.5,0.5}{
\node [fill=green!20,inner sep=0pt,minimum height=0.98cm,minimum width=0.98cm] at (\x,\y) {\number\value{mycount3}}; \node [fill=green!20,inner sep=0pt,minimum height=0.98cm,minimum width=0.98cm] at (\x,\y) {\number\value{mycount3}};
...@@ -37,7 +37,7 @@ ...@@ -37,7 +37,7 @@
\begin{scope}[yshift=3.5em,xshift=-2em] \begin{scope}[yshift=3.5em,xshift=-2em]
\setcounter{mycount4}{4} \setcounter{mycount4}{4}
\draw[step=0.5cm,color=red,line width=0.2mm] (-2,-2) grid (1,1); \draw[step=0.5cm,color=red,line width=0.4mm] (-2,-2) grid (1,1);
\foreach \y in {+0.5,-0.5,-1.5} \foreach \y in {+0.5,-0.5,-1.5}
\foreach \x in {-1.5,-0.5,0.5}{ \foreach \x in {-1.5,-0.5,0.5}{
\node [fill=red!20,inner sep=0pt,minimum height=0.98cm,minimum width=0.98cm] at (\x,\y) {\number\value{mycount4}}; \node [fill=red!20,inner sep=0pt,minimum height=0.98cm,minimum width=0.98cm] at (\x,\y) {\number\value{mycount4}};
...@@ -45,4 +45,4 @@ ...@@ -45,4 +45,4 @@
} }
\end{scope} \end{scope}
\end{tikzpicture} \end{tikzpicture}
%%%------------------------------------------------------------------------------------------------------------ %%%------------------------------------------------------------------------------------------------------------
\ No newline at end of file
Chapter9/Figures/fig-two-layer-neural-network.tex
...@@ -44,10 +44,10 @@ ...@@ -44,10 +44,10 @@
%% sigmoid box %% sigmoid box
\begin{scope} \begin{scope}
{ {
\node [anchor=west] (flabel) at ([xshift=1in]y.east) {\footnotesize{sigmoid:}}; \node [anchor=west] (flabel) at ([xshift=1in]y.east) {\footnotesize{Sigmoid:}};
\node [anchor=north east] (slabel) at ([xshift=0]flabel.south east) {\footnotesize{sum:}}; \node [anchor=north east] (slabel) at ([xshift=0]flabel.south east) {\footnotesize{Sum:}};
\node [anchor=west,inner sep=2pt] (flabel2) at (flabel.east) {\footnotesize{$f(s)=1/(1+e^{-s})$}}; \node [anchor=west,inner sep=2pt] (flabel2) at (flabel.east) {\footnotesize{$f(s_2)=1/(1+e^{-s_2})$}};
\node [anchor=west,inner sep=2pt] (flabel3) at (slabel.east) {\footnotesize{$s=x_1 \cdot w + b$}}; \node [anchor=west,inner sep=2pt] (flabel3) at (slabel.east) {\footnotesize{$s_2=x_1 \cdot w_2 + b$}};
\draw [->,thick,dotted] ([yshift=-0.3em,xshift=-0.1em]n11.60) .. controls +(east:1) and +(west:2) .. ([xshift=-0.2em]flabel.west) ; \draw [->,thick,dotted] ([yshift=-0.3em,xshift=-0.1em]n11.60) .. controls +(east:1) and +(west:2) .. ([xshift=-0.2em]flabel.west) ;
\begin{pgfonlayer}{background} \begin{pgfonlayer}{background}
......
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