9的图和符号

Chapter9/Figures/fig-bias.tex

@@ -10,7 +10,7 @@
 \node [anchor=south east,inner sep=1pt] (label2) at (0,0) {\tiny{0}};
 \node [anchor=south east,inner sep=1pt] (labela) at (0.2,-0.5) {\footnotesize{(a)}};
 }
-{\node [anchor=north west,align=left] (wblabel) at (-1.8,2) {{\scriptsize{$w_{11}=100$}}\\[-0ex] \scriptsize{\ $b_1=0$}};}
+{\node [anchor=north west,align=left] (wblabel) at (-1.8,2) {{\scriptsize{\ $w_{11}=100$}}\\[-0ex] \scriptsize{\ $b_1=0$}};}
 {\draw [-,very thick,ublue,rounded corners=0.1em] (-1.5,0) -- (0,0) -- (0,1) -- (1.5,1);}
 \end{scope}
 %---------------------------------------------------------------------------------------------
@@ -23,7 +23,7 @@
 \node [anchor=south east,inner sep=1pt] (label2) at (0,0) {\tiny{0}};
 \node [anchor=south east,inner sep=1pt] (labelb) at (0.2,-0.5) {\footnotesize{(b)}};
 }
-{\node [anchor=north west,align=left] (wblabel) at (-1.8,2) {\scriptsize{$w_{11}=100$}\\[-0ex] {\scriptsize{\ $b_1=-2$}}};}
+{\node [anchor=north west,align=left] (wblabel) at (-1.8,2) {\scriptsize{\ $w_{11}=100$}\\[-0ex] {\scriptsize{\ $b_1=-2$}}};}
 {\draw [-,very thick,ublue,rounded corners=0.1em] (-1.5,0) -- (0.25,0) -- (0.25,1) -- (1.5,1);}
 \end{scope}
 %-----------------------------------------------------------------------------------------------
@@ -36,7 +36,7 @@
 \node [anchor=south east,inner sep=1pt] (label2) at (0,0) {\tiny{0}};
 \node [anchor=south east,inner sep=1pt] (labelc) at (0.2,-0.5) {\footnotesize{(c)}};
 }
-{\node [anchor=north west,align=left] (wblabel) at (-1.8,2) {\scriptsize{$w_{11}=100$}\\[-0ex] {\scriptsize{\ $b_1=-4$}}};}
+{\node [anchor=north west,align=left] (wblabel) at (-1.8,2) {\scriptsize{\ $w_{11}=100$}\\[-0ex] {\scriptsize{\ $b_1=-4$}}};}
 {\draw [-,very thick,ublue,rounded corners=0.1em] (-1.5,0) -- (0.5,0) -- (0.5,1) -- (1.5,1);}
 \end{scope}
 \end{tikzpicture}

Chapter9/Figures/fig-fit.tex

@@ -36,8 +36,8 @@
 {\node [anchor=center,rotate=-59,fill=white,inner sep=1pt] (w2) at ([yshift=1.2em,xshift=-1.2em]x1.north) {\tiny{$w_{11}=100$}};}
 {\node [anchor=center,rotate=59,fill=white,inner sep=1pt] (b1) at ([yshift=5.1em,xshift=2.3em]b.north) {\tiny{$b_2=-4$}};}
 {\node [anchor=center,rotate=90,fill=white,inner sep=1pt] (w1) at ([yshift=3em,xshift=0.5em]x1.north) {\tiny{$w_{12}=100$}};}
-{\node [anchor=center,rotate=62,fill=white,inner sep=1pt] (w21) at ([yshift=1.8em,xshift=0.2em]n10.north) {\tiny{$w_{21}=-0.7$}};}
-{\node [anchor=center,rotate=-62,fill=white,inner sep=1pt] (w22) at ([yshift=1.8em,xshift=-0.2em]n11.north) {\tiny{$w_{22}=0.7$}};}
+{\node [anchor=center,rotate=62,fill=white,inner sep=1pt] (w21) at ([yshift=1.8em,xshift=0.2em]n10.north) {\tiny{$w'_{11}=-0.7$}};}
+{\node [anchor=center,rotate=-62,fill=white,inner sep=1pt] (w22) at ([yshift=1.8em,xshift=-0.2em]n11.north) {\tiny{$w'_{21}=0.7$}};}
 
 %% sigmoid box
 \begin{scope}
@@ -130,8 +130,8 @@
 {\node [anchor=center,rotate=-59,fill=white,inner sep=1pt] (w2) at ([yshift=1.2em,xshift=-1.2em]x1.north) {\tiny{$w_{11}=100$}};}
 {\node [anchor=center,rotate=59,fill=white,inner sep=1pt] (b1) at ([yshift=5.1em,xshift=2.3em]b.north) {\tiny{$b_2=-4$}};}
 {\node [anchor=center,rotate=90,fill=white,inner sep=1pt] (w1) at ([yshift=3em,xshift=0.5em]x1.north) {\tiny{$w_{12}=100$}};}
-{\node [anchor=center,rotate=62,fill=white,inner sep=1pt] (w21) at ([yshift=1.8em,xshift=0.2em]n10.north) {\tiny{$w_{21}=-0.7$}};}
-{\node [anchor=center,rotate=-62,fill=white,inner sep=1pt] (w22) at ([yshift=1.8em,xshift=-0.2em]n11.north) {\tiny{$w_{22}=0.7$}};}
+{\node [anchor=center,rotate=62,fill=white,inner sep=1pt] (w21) at ([yshift=1.8em,xshift=0.2em]n10.north) {\tiny{$w'_{11}=-0.7$}};}
+{\node [anchor=center,rotate=-62,fill=white,inner sep=1pt] (w22) at ([yshift=1.8em,xshift=-0.2em]n11.north) {\tiny{$w'_{21}=0.7$}};}
 
 %% sigmoid box
 \begin{scope}

Chapter9/Figures/fig-four-layers-of-neural-network.tex

@@ -19,7 +19,7 @@
     \node [anchor=north] (x\n) at ([yshift=-2em]neuron0\n.south) {$x_\n$};
 }
 
-\node [anchor=west] (w1label) at ([xshift=-0.5em,yshift=0.8em]x5.north east) {${\vectorn{\emph{W}}}_1$};
+\node [anchor=west] (w1label) at ([xshift=-0.5em,yshift=0.8em]x5.north east) {${\vectorn{\emph{W}}}^{[1]}$};
 
 \begin{pgfonlayer}{background}
 \node [rectangle,inner sep=0.2em,fill=red!20] [fit = (neuron01) (neuron05)] (layer01) {};
@@ -47,7 +47,7 @@
     }
 }
 
-\node [anchor=west] (w2label) at ([xshift=-2.5em,yshift=5.4em]x5.north east) {${\vectorn{\emph{W}}}_2$};
+\node [anchor=west] (w2label) at ([xshift=-2.5em,yshift=5.4em]x5.north east) {${\vectorn{\emph{W}}}^{[2]}$};
 
 \begin{pgfonlayer}{background}
 {
@@ -77,7 +77,7 @@
     \draw [<-,thick] ([yshift=1.1em]neuron2\n.north) -- (neuron2\n.north);
 }
 
-\node [anchor=west] (w3label) at ([xshift=-2.5em,yshift=9.5em]x5.north east) {${\vectorn{\emph{W}}}_3$};
+\node [anchor=west] (w3label) at ([xshift=-2.5em,yshift=9.5em]x5.north east) {${\vectorn{\emph{W}}}^{[3]}$};
 
 \begin{pgfonlayer}{background}
 {

Chapter9/Figures/fig-two-layer-neural-network.tex

@@ -36,8 +36,8 @@
 %% weight and bias
 {\node [anchor=center,rotate=90,fill=white,inner sep=1pt] (b0) at ([yshift=2em,xshift=-0.5em]b.north) {\scriptsize{$b_1$}};}
 {\node [anchor=center,rotate=-59,fill=white,inner sep=1pt] (w2) at ([yshift=1em,xshift=-1.0em]x1.north) {\scriptsize{$w_{11}$}};}
-{\node [anchor=center,rotate=62,fill=white,inner sep=1pt] (w21) at ([yshift=1.2em,xshift=-0.2em]n10.north) {\scriptsize{$w_{21}$}};}
-{\node [anchor=center,rotate=-62,fill=white,inner sep=1pt] (w22) at ([yshift=1.2em,xshift=0.2em]n11.north) {\scriptsize{$w_{22}$}};}
+{\node [anchor=center,rotate=62,fill=white,inner sep=1pt] (w21) at ([yshift=1.2em,xshift=-0.2em]n10.north) {\scriptsize{$w'_{11}$}};}
+{\node [anchor=center,rotate=-62,fill=white,inner sep=1pt] (w22) at ([yshift=1.2em,xshift=0.2em]n11.north) {\scriptsize{$w'_{21}$}};}
 {\node [anchor=center,rotate=59,fill=white,inner sep=1pt] (b1) at ([yshift=3.4em,xshift=1.5em]b.north) {\scriptsize{$b_2$}};}
 {\node [anchor=center,rotate=90,fill=white,inner sep=1pt] (w1) at ([yshift=2em,xshift=0.5em]x1.north) {\scriptsize{$w_{12}$}};}
 

Chapter9/Figures/fig-w1.tex

@@ -10,7 +10,7 @@
 \node [anchor=south east,inner sep=1pt] (label2) at (0,0) {\tiny{0}};
 \node [anchor=south east,inner sep=1pt] (labela) at (0.2,-0.5) {\footnotesize{(a)}};
 }
-{\node [anchor=north west,align=left] (wblabel) at (-1.8,2) {\scriptsize{$w_{11}=100$}\\[-0ex] {\scriptsize{\ $b_1=-4$}}};}
+{\node [anchor=north west,align=left] (wblabel) at (-1.8,2) {\scriptsize{\ $w_{11}=100$}\\[-0ex] {\scriptsize{\ $b_1=-4$}}};}
 {\draw [-,very thick,ublue,rounded corners=0.1em] (-1.5,0) -- (0.5,0) -- (0.5,1) -- (1.5,1);}
 \end{scope}
 %---------------------------------------------------------------------------------------------
@@ -23,7 +23,7 @@
 \node [anchor=south east,inner sep=1pt] (label2) at (0,0) {\tiny{0}};
 \node [anchor=south east,inner sep=1pt] (labelb) at (0.2,-0.5) {\footnotesize{(b)}};
 }
-{\node [anchor=north west,align=left] (wblabel) at (-1.8,2) {{\scriptsize{$w_{21}=0.9$}}};}
+{\node [anchor=north west,align=left] (wblabel) at (-1.8,2) {{\scriptsize{\ $w'_{11}=0.9$}}};}
 {\draw [-,very thick,ublue,rounded corners=0.1em] (-1.8,0) -- (0.5,0) -- (0.5,0.9) -- (1.8,0.9);}
 \end{scope}
 %-----------------------------------------------------------------------------------------------
@@ -37,7 +37,7 @@
 \node [anchor=south east,inner sep=1pt] (label2) at (0,0) {\tiny{0}};
 \node [anchor=south east,inner sep=1pt] (labelc) at (0.2,-0.5) {\footnotesize{(c)}};
 }
-{\node [anchor=north west,align=left] (wblabel) at (-1.8,2) {{\scriptsize{$w_{21}=0.7$}}};}
+{\node [anchor=north west,align=left] (wblabel) at (-1.8,2) {{\scriptsize{\ $w'_{11}=0.7$}}};}
 {\draw [-,very thick,ublue,rounded corners=0.1em] (-1.5,0) -- (0.5,0) -- (0.5,0.7) -- (1.5,0.7);}
 \end{scope}
 

Chapter9/Figures/fig-w2.tex

@@ -10,7 +10,7 @@
 \node [anchor=south east,inner sep=1pt] (label2) at (0,0) {\tiny{0}};
 \node [anchor=south east,inner sep=1pt] (labela) at (0.2,-0.5) {\footnotesize{(a)}};
 }
-{\node [anchor=north west,align=left] (wblabel) at (-1.8,2) {{\scriptsize{$w_{21}=0.7$}}};}
+{\node [anchor=north west,align=left] (wblabel) at (-1.8,2) {{\scriptsize{\ $w'_{11}=0.7$}}};}
 {\draw [-,very thick,ublue,rounded corners=0.1em] (-1.5,0) -- (0.5,0) -- (0.5,0.7) -- (1.5,0.7);}
 \end{scope}
 %---------------------------------------------------------------------------------------------
@@ -23,7 +23,7 @@
 \node [anchor=south east,inner sep=1pt] (label2) at (0,0) {\tiny{0}};
 \node [anchor=south east,inner sep=1pt] (labelb) at (0.2,-0.5) {\footnotesize{(b)}};
 }
-{\node [anchor=north west,align=left] (wblabel) at (-1.8,2) {{\scriptsize{$w_{12}=100$}}\\[-0ex] {\scriptsize{\ $b_2=-6$}}\\[-0ex] {\scriptsize{\ $w_{22}=0.7$}}};}
+{\node [anchor=north west,align=left] (wblabel) at (-1.8,2) {{\scriptsize{\ $w_{12}=100$}}\\[-0ex] {\scriptsize{\ $b_2=-6$}}\\[-0ex] {\scriptsize{\ $w'_{21}=0.7$}}};}
 {\draw [-,very thick,ublue,rounded corners=0.1em] (-1.5,0) -- (0.5,0) -- (0.5,0.7) -- (0.7,0.7) -- (0.7,1.4) -- (1.5,1.4);}
 \end{scope}
 %-----------------------------------------------------------------------------------------------
@@ -37,7 +37,7 @@
 \node [anchor=south east,inner sep=1pt] (label2) at (0,0) {\tiny{0}};
 \node [anchor=south east,inner sep=1pt] (labelc) at (0.2,-0.5) {\footnotesize{(c)}};
 }
-{\node [anchor=north west,align=left] (wblabel) at (-1.8,2) {\scriptsize{$w_{12}=100$}\\[-0ex] \scriptsize{\ $b_2=-6$}\\[-0ex] {\scriptsize{\ $w_{22}=-0.7$}}};}
+{\node [anchor=north west,align=left] (wblabel) at (-1.8,2) {\scriptsize{\ $w_{12}=100$}\\[-0ex] \scriptsize{\ $b_2=-6$}\\[-0ex] {\scriptsize{\ $w'_{21}=-0.7$}}};}
 {\draw [-,very thick,ublue,rounded corners=0.1em] (-1.5,0) -- (0.5,0) -- (0.5,0.7) -- (0.7,0.7) -- (0.7,0) -- (1.5,0);}
 \end{scope}
 

Chapter9/Figures/fig-weather.tex

@@ -3,32 +3,48 @@
 \tikzstyle{neuronnode} = [minimum size=2.2em,circle,draw,ublue,very thick,inner sep=1pt, fill=white,align=center,drop shadow={shadow xshift=0.1em,shadow yshift=-0.1em}]
 \node [anchor=west,minimum width=2.0em,minimum height=1.5em] (bias10) at (0,0.05)  {\footnotesize{${\vectorn{\emph{b}}}^{[1]}$}};
 \node [anchor=west,minimum width=2.0em,minimum height=1.5em] (bias11) at ([xshift=-1.5em,yshift=-0.3em]bias10.south)  {\footnotesize{偏置1}};
+\node [anchor=center,rotate=13,fill=white,inner sep=1pt] (b11) at ([yshift=1.0em,xshift=1.8em]bias10.north) {\scriptsize{$b_{11}$}};
+
 \node [anchor=west,minimum width=2.0em,minimum height=1.5em] (input10) at (2,0) {\footnotesize {$x_1$}};
 \node [anchor=west,minimum width=2.0em,minimum height=1.5em] (input11) at ([xshift=-2.1em,yshift=-0.3em]input10.south) {\footnotesize {天空状况}};
+
 \node [anchor=west,minimum width=2.0em,minimum height=1.5em] (input20) at (4,0) {\footnotesize {$x_2$}};
-\node [anchor=west,minimum width=2.0em,minimum height=1.5em] (input21) at ([xshift=-2.1em,yshift=-0.3em]input20.south) {\footnotesize {低温气温}};
+\node [anchor=center,rotate=38,fill=white,inner sep=1pt] (w12) at ([yshift=1.25em,xshift=0.85em]input20.north) {\scriptsize{$w_{22}$}};
+\node [anchor=west,minimum width=2.0em,minimum height=1.5em] (input21) at ([xshift=-2.1em,yshift=-0.3em]input20.south) {\footnotesize {低空气温}};
 \node [anchor=west,minimum width=2.0em,minimum height=1.5em] (input30) at (6,0) {\footnotesize {$x_3$}};
+\node [anchor=center,rotate=-35,fill=white,inner sep=1pt] (w13) at ([yshift=1.2em,xshift=-1.0em]input30.north) {\scriptsize{$w_{32}$}};
 \node [anchor=west,minimum width=2.0em,minimum height=1.5em] (input31) at ([xshift=-2.1em,yshift=-0.3em]input30.south) {\footnotesize {水平气压}};
 
-\node [neuronnode] (n10) at ([xshift=1.5em,yshift=4em]input10.east) {\tiny{$f$}\\[-1ex] \tiny{$\sum$}};
-\node [anchor=west,minimum width=2.0em,minimum height=1.5em] (bias20) at ([xshift=-4em,yshift=0.5em]n10.west)  {\footnotesize {$b^{[2]}$}};
+\node [neuronnode] (n10) at ([xshift=1.5em,yshift=4em]input10.east) {\tiny{Tanh}\\[-1ex] \tiny{$\sum$}};
+\node [anchor=east,minimum width=2.0em,minimum height=1.5em] (a1) at ([xshift=2.3em,yshift=0em]n10.east) {\footnotesize {温度}};
+\node [anchor=center,rotate=0,fill=white,inner sep=1pt] (w21) at ([xshift=0.8em,yshift=0.8em]n10.north) {\scriptsize{$w'_{11}$}};
+\node [anchor=west,minimum width=2.0em,minimum height=1.5em] (bias20) at ([xshift=-5em,yshift=0.3em]n10.west)  {\footnotesize {$b^{[2]}$}};
 \node [anchor=west,minimum width=2.0em,minimum height=1.5em] (bias21) at ([xshift=-1.5em,yshift=-0.3em]bias20.south)  {\footnotesize {偏置2}};
-\node [neuronnode] (n11) at ([xshift=1.5em,yshift=4em]input20.east){\tiny{$f$}\\[-1ex] \tiny{$\sum$}};
+\node [anchor=center,rotate=25,fill=white,inner sep=1pt] (b21) at ([yshift=1.1em,xshift=1.9em]bias20.north) {\scriptsize{$b'_{11}$}};
+\node [neuronnode] (n11) at ([xshift=1.5em,yshift=4em]input20.east){\tiny{Tanh}\\[-1ex] \tiny{$\sum$}};
+\node [anchor=east,minimum width=2.0em,minimum height=1.5em] (a1) at ([xshift=2.3em,yshift=0em]n11.east) {\footnotesize {风速}};
+\node [anchor=center,rotate=-15,fill=white,inner sep=1pt] (w22) at ([yshift=1.05em,xshift=-1.8em]n11.north) {\scriptsize{$w'_{21}$}};
 \draw [-,ublue] (n10.west) -- (n10.east);
 \draw [-,ublue] (n11.west) -- (n11.east);
-\node [neuronnode] (n20) at ([xshift=1.5em,yshift=8em]input10.east) {\tiny{$f$}\\[-1ex] \tiny{$\sum$}};
+\node [neuronnode] (n20) at ([xshift=1.5em,yshift=8em]input10.east) {\tiny{Sigmoid}\\[-1ex] \tiny{$\sum$}};
+\node [anchor=east,minimum width=2.0em,minimum height=1.5em] (a1) at ([xshift=3.9em,yshift=0em]n20.east) {\footnotesize {穿衣指数}};
 \draw [-,ublue] (n20.west) -- (n20.east);
 \node [anchor=west,minimum width=2.0em,minimum height=1.5em] (output) at ([xshift=0.5em,yshift=12em]input10.east)  {\footnotesize {$y$}};
 
-\draw [->,thick] (input10.north) -- (n10.south);
-\draw [->,thick] (input20.north) -- (n10.south);
-\draw [->,thick] (input20.north) -- (n11.south);
-\draw [->,thick] (input30.north) -- (n11.south);
-\draw [->,thick] (n10.north) -- (n20.south);
-\draw [->,thick] (n11.north) -- (n20.south);
-\draw [->,thick] (bias20.north) -- (n20.south);
-\draw [->,thick] (n20.north) -- (output.south);
-\draw [->,thick] (bias10.north) -- (n10.south);
+\draw [->,thick,ublue!70,line width=0.33mm] (input10.north) -- (n10.south);
+\draw [->,thick,ugreen,line width=0.33mm] (input20.north) -- (n10.south);
+\draw [->,thick,blue!80,line width=0.33mm] (input20.north) -- (n11.south);
+\draw [->,thick,red!40,line width=0.33mm] (input30.north) -- (n11.south);
+\draw [->,thick,brown,line width=0.33mm] (n10.north) -- (n20.south);
+\draw [->,thick,ugreen!40,line width=0.33mm] (n11.north) -- (n20.south);
+\draw [->,thick,purple,line width=0.33mm] (bias20.north) -- (n20.south);
+\draw [->,thick,line width=0.33mm] (n20.north) -- (output.south);
+\draw [->,thick,red!80,line width=0.33mm] (bias10.north) -- (n10.south);
+\draw [->,thick,orange,line width=0.33mm] (bias10.north) -- (n11.south);
+\node [anchor=center,rotate=10,fill=white,inner sep=1pt] (b12) at ([yshift=1.0em,xshift=4em]bias10.north) {\scriptsize{$b_{12}$}};
+\node [anchor=center,rotate=40,fill=white,inner sep=1pt] (w11) at ([yshift=0.55em,xshift=1.5em]input10.north) {\scriptsize{$w_{11}$}};
+\node [anchor=center,rotate=-30,fill=white,inner sep=1pt] (w12) at ([yshift=0.5em,xshift=-1.4em]input20.north) {\scriptsize{$w_{21}$}};
+
 \end{tikzpicture}
 %%%------------------------------------------------------------------------------------------------------------
 %%------------------------------------------------------------------------------------------------------------

Chapter9/Figures/fig-weight.tex

@@ -10,7 +10,7 @@
 \node [anchor=south east,inner sep=1pt] (label2) at (0,0) {\tiny{0}};
 \node [anchor=south east,inner sep=1pt] (labela) at (0.2,-0.5) {\footnotesize{(a)}};
 }
-{\node [anchor=north west,align=left] (wblabel) at (-1.8,2) {\scriptsize{$w_{11}=1$}\\[-0ex] \scriptsize{\ $b_1=0$}};}
+{\node [anchor=north west,align=left] (wblabel) at (-1.8,2) {\scriptsize{\ $w_{11}=1$}\\[-0ex] \scriptsize{\ $b_1=0$}};}
 {\draw [-,very thick,ublue,domain=-1.5:1.5,samples=100] plot (\x,{1/(1+exp(-2*\x))});}
 \end{scope}
 %---------------------------------------------------------------------------------------------
@@ -23,7 +23,7 @@
 \node [anchor=south east,inner sep=1pt] (label2) at (0,0) {\tiny{0}};
 \node [anchor=south east,inner sep=1pt] (labelb) at (0.2,-0.5) {\footnotesize{(b)}};
 }
-{\node [anchor=north west,align=left] (wblabel) at (-1.8,2) {{\scriptsize{$w_{11}=10$}}\\[-0ex] \scriptsize{\ $b_1=0$}};}
+{\node [anchor=north west,align=left] (wblabel) at (-1.8,2) {{\scriptsize{\ $w_{11}=10$}}\\[-0ex] \scriptsize{\ $b_1=0$}};}
 {\draw [-,very thick,ublue,domain=-1.5:1.5,samples=100] plot (\x,{1/(1+exp(-4*\x))});}
 \end{scope}
 %-----------------------------------------------------------------------------------------------
@@ -36,7 +36,7 @@
 \node [anchor=south east,inner sep=1pt] (label2) at (0,0) {\tiny{0}};
 \node [anchor=south east,inner sep=1pt] (labelc) at (0.2,-0.5) {\footnotesize{(c)}};
 }
-{\node [anchor=north west,align=left] (wblabel) at (-1.8,2) {{\scriptsize{$w_{11}=100$}}\\[-0ex] \scriptsize{\ $b_1=0$}};}
+{\node [anchor=north west,align=left] (wblabel) at (-1.8,2) {{\scriptsize{\ $w_{11}=100$}}\\[-0ex] \scriptsize{\ $b_1=0$}};}
 {\draw [-,very thick,ublue,rounded corners=0.1em] (-1.5,0) -- (0,0) -- (0,1) -- (1.5,1);}
 \end{scope}
 \end{tikzpicture}