9的图片

2864cb25 · 孟霞 · 4e2126e4 · 2864cb25 · 2864cb25 · 2864cb25
Commit 2864cb25 authored Oct 10, 2020 by 孟霞
--- a/Chapter9/Figures/fig-4-gram.tex
+++ b/Chapter9/Figures/fig-4-gram.tex
+%%%------------------------------------------------------------------------------------------------------------
 \begin{tikzpicture}
 \begin{scope}
-\node [anchor=west] (w0) at (0,0) {\footnotesize{$w_{i-3}$}};
+\node [anchor=west] (w0) at (0,0) {\small{${\bm o}_{i-3}$}};
-\node [anchor=west] (w1) at ([xshift=2em]w0.east) {\footnotesize{$w_{i-2}$}};
+\node [anchor=west] (w1) at ([xshift=2.8em]w0.east) {\small{${\bm o}_{i-2}$}};
-\node [anchor=west] (w2) at ([xshift=2em]w1.east) {\footnotesize{$w_{i-1}$}};
+\node [anchor=west] (w2) at ([xshift=2.8em]w1.east) {\small{${\bm o}_{i-1}$}};
-\node [anchor=north] (index0) at ([yshift=0.5em]w0.south) {\tiny(index)};
+\node [anchor=north] (index0) at ([yshift=0.5em]w0.south) {\footnotesize(index)};
-\node [anchor=north] (index1) at ([yshift=0.5em]w1.south) {\tiny(index)};
+\node [anchor=north] (index1) at ([yshift=0.5em]w1.south) {\footnotesize(index)};
-\node [anchor=north] (index2) at ([yshift=0.5em]w2.south) {\tiny(index)};
+\node [anchor=north] (index2) at ([yshift=0.5em]w2.south) {\footnotesize(index)};
-\node [anchor=south,draw,inner sep=3pt,fill=blue!20!white] (e0) at ([yshift=1em]w0.north) {\tiny{$\textbf{e}_0=w_{i-3} \textbf{C}$}};
+\node [anchor=south,draw,inner sep=3pt,fill=blue!20!white] (e0) at ([yshift=1em]w0.north) {\footnotesize{${\bm e}_1={\bm o}_{i-3} {\bm C}$}};
-\node [anchor=south,draw,inner sep=3pt,fill=blue!20!white] (e1) at ([yshift=1em]w1.north) {\tiny{$\textbf{e}_1=w_{i-2} \textbf{C}$}};
+\node [anchor=south,draw,inner sep=3pt,fill=blue!20!white] (e1) at ([yshift=1em]w1.north) {\footnotesize{${\bm e}_2={\bm o}_{i-2} {\bm C}$}};
-\node [anchor=south,draw,inner sep=3pt,fill=blue!20!white] (e2) at ([yshift=1em]w2.north) {\tiny{$\textbf{e}_2=w_{i-1} \textbf{C}$}};
+\node [anchor=south,draw,inner sep=3pt,fill=blue!20!white] (e2) at ([yshift=1em]w2.north) {\footnotesize{${\bm e}_3={\bm o}_{i-1} {\bm C}$}};
-\node [anchor=south,draw,minimum width=9em,inner sep=3pt,fill=orange!20!white] (h0) at ([yshift=1.5em]e1.north) {\tiny{$\textbf{h}_0=\textrm{Tanh}([\textbf{e}_0,\textbf{e}_1,\textbf{e}_2] \textbf{H} + \textbf{d})$}};
+\node [anchor=south,draw,minimum width=11em,inner sep=3pt,fill=orange!20!white] (h0) at ([yshift=1.5em]e1.north) {\footnotesize{${\bm h}_0=\textrm{Tanh}([{\bm e}_1,{\bm e}_2,{\bm e}_3]{\bm H} + {\bm d})$}};
-\node [anchor=south,draw,minimum width=9em,inner sep=3pt,fill=orange!20!white] (h1) at ([yshift=1.5em]h0.north) {\tiny{$\textbf{y}=\textrm{Softmax}(\textbf{h}_0 \textbf{U})$}};
+\node [anchor=south,draw,minimum width=9em,inner sep=3pt,fill=orange!20!white] (h1) at ([yshift=1.5em]h0.north) {\footnotesize{${\bm y}=\textrm{Softmax}({\bm h}_0 {\bm U})$}};
-\node [anchor=south] (ylabel) at ([yshift=1em]h1.north) {\footnotesize{$\textrm{P}(w_i|w_{i-3}w_{i-2}w_{i-1})$}};
+\node [anchor=south] (ylabel) at ([yshift=1em]h1.north) {\small{$\funp{P}(w_i|w_{i-3}w_{i-2}w_{i-1})$}};
 \draw [->,line width=1pt] ([yshift=0.1em]w0.north) -- ([yshift=-0.1em]e0.south);
 \draw [->,line width=1pt] ([yshift=0.1em]w1.north) -- ([yshift=-0.1em]e1.south);
@@ -42,3 +43,4 @@
 \end{scope}
 \end{tikzpicture}
+%%%------------------------------------------------------------------------------------------------------------
--- a/Chapter9/Figures/fig-absolute-loss.tex
+++ b/Chapter9/Figures/fig-absolute-loss.tex
@@ -8,12 +8,12 @@
 \draw[->,thick] (-6,0) -- (5,0);
 \draw[->,thick] (-5,-4) -- (-5,5);
-\draw [<-] (-2.5,4) -- (-2,5) node [pos=1,right,inner sep=2pt] {\footnotesize{答案$\tilde{\textbf{y}}_i$}};
+\draw [<-] (-2.5,4) -- (-2,5) node [pos=1,right,inner sep=2pt] {\footnotesize{答案$\tilde{\vectorn{\emph{y}}}_i$}};
 {
-\draw [<-] (-3,-3) -- (-2.5,-2) node [pos=0,left,inner sep=2pt] {\footnotesize{预测$\textbf{y}_i$}};}
+\draw [<-] (-3,-3) -- (-2.5,-2) node [pos=0,left,inner sep=2pt] {\footnotesize{预测${\vectorn{\emph{y}}}_i$}};}
 {
-\draw [<-] (2.3,1) -- (3.3,2) node [pos=1,right,inner sep=2pt] {\footnotesize{偏差$|\tilde{\textbf{y}}_i - \textbf{y}_i|$}};
+\draw [<-] (2.3,1) -- (3.3,2) node [pos=1,right,inner sep=2pt] {\footnotesize{偏差$|\tilde{\vectorn{\emph{y}}}_i - {\vectorn{\emph{y}}}_i|$}};
 \foreach \x in {-3.8,-3.7,...,3.0}{
    \pgfmathsetmacro{\p}{- 1/14 * (\x + 4) * (\x + 1) * (\x - 1) * (\x - 3)};
    \pgfmathsetmacro{\q}{- 1/14 * (4*\x*\x*\x + 3*\x*\x - 26*\x - 1)};
@@ -24,4 +24,3 @@
 \end{scope}
 \end{tikzpicture}
 %%%------------------------------------------------------------------------------------------------------------
--- a/Chapter9/Figures/fig-activate.tex
+++ b/Chapter9/Figures/fig-activate.tex
+%%%------------------------------------------------------------------------------------------------------------
+\begin{tikzpicture}
+\begin{scope}
+\draw[->, line width=1pt](-1.4,0)--(1.4,0)node[left,below,font=\scriptsize]{$x$};
+\draw[->, line width=1pt](0,-1.4)--(0,1.4)node[right,font=\scriptsize]{$y$};
+\foreach \x in {-1.0,-0.5,0.0,0.5,1.0}{\draw(\x,0)--(\x,0.05)node[below,outer sep=2pt,font=\scriptsize]at(\x,0){\x};}
+ \foreach \y in {1.0,0.5}{\draw(0,\y)--(0.05,\y)node[left,outer sep=2pt,font=\scriptsize]at(0,\y){\y};}
+\draw[color=red ,domain=-1.4:1, line width=1pt]plot(\x,{ln(1+(exp(\x))});
+\node[black,anchor=south] at (0,1.4) {\small $y = ln(1+e^x)$};
+\node [anchor=south east,inner sep=1pt] (labela) at (0.8,-2) {\footnotesize{(a) Softplus}};
+\end{scope}
+%%%------------------------------------------------------------------------------------------------------------
+\begin{scope}[xshift=1.6in]
+\draw[->, line width=1pt](-1.4,0)--(1.4,0)node[left,below,font=\scriptsize]{$x$};
+\draw[->, line width=1pt](0,-1.4)--(0,1.4)node[right,font=\scriptsize]{$y$};
+\draw[dashed](-1.4,1)--(1.4,1);
+\foreach \x in {-1,-0.5,0,0.5,1}{\draw(\x,0)--(\x,0.05)node[below,outer sep=2pt,font=\scriptsize]at(\x,0){
+      \pgfmathparse{(\x)*5}
+      \pgfmathresult};}
+\foreach \y in {0.5,1.0}{\draw(0,\y)--(0.05,\y)node[left,outer sep=2pt,font=\scriptsize]at(0,\y){\y};}
+\draw[color=red,domain=-1.4:1.4, line width=1pt]plot(\x,{1/(1+(exp(-5*\x)))});
+\node[black,anchor=south] at (0,1.4) {\small $y = \frac{1}{1+e^{-x}}$};
+\node [anchor=south east,inner sep=1pt] (labelb) at (0.8,-2) {\footnotesize{(b) Sigmoid}};
+\end{scope}
+%%%------------------------------------------------------------------------------------------------------------
+\begin{scope}[xshift=3.2in]
+ \draw[->, line width=1pt](-1.4,0)--(1.4,0)node[left,below,font=\scriptsize]{$x$};
+        \draw[->, line width=1pt](0,-1.4)--(0,1.4)node[right,font=\scriptsize]{$y$};
+        \draw[dashed](-1.4,1)--(1.4,1);
+        \draw[dashed](-1.4,-1)--(1.4,-1);
+        \foreach \x in {-1.0,-0.5,0.0,0.5,1.0}{\draw(\x,0)--(\x,0.05)node[below,outer sep=2pt,font=\scriptsize]at(\x,0){\x};}
+        \foreach \y in {0.5,1.0}{\draw(0,\y)--(0.05,\y)node[left,outer sep=2pt,font=\scriptsize]at(0,\y){\y};}
+        \draw[color=red ,domain=-1.4:1.4, line width=1pt]plot(\x,{tanh(\x)});
+        \node[black,anchor=south] at (0,1.4) {\small $y = \frac{e^{x}-e^{-x}}{e^{x}+e^{-x}}$};
+\node [anchor=south east,inner sep=1pt] (labelc) at (0.8,-2) {\footnotesize{(c) Tanh}};
+\end{scope}
+%%%------------------------------------------------------------------------------------------------------------
+\begin{scope}[yshift=-1.7in]
+  \draw[->, line width=1pt](-1.4,0)--(1.4,0)node[left,below,font=\scriptsize]{$x$};
+        \draw[->, line width=1pt](0,-1.4)--(0,1.4)node[right,font=\scriptsize]{$y$};
+        \draw[dashed](-1.4,1)--(1.4,1);
+        \draw[dashed](-1.4,-1)--(1.4,-1);
+        \foreach \x in {-1.0,-0.5,0.0,0.5,1.0}{\draw(\x,0)--(\x,0.05)node[below,outer sep=2pt,font=\scriptsize]at(\x,0){\x};}
+        \foreach \y in {0.5,1.0}{\draw(0,\y)--(0.05,\y)node[left,outer sep=2pt,font=\scriptsize]at(0,\y){\y};}
+        \draw[color=red ,domain=-1.4:1.4, line width=1pt]plot(\x,{max(\x,0)});
+        \node[black,anchor=south] at (0,1.4) {\small $y =\max (0, x)$};
+\node [anchor=south east,inner sep=1pt] (labeld) at (0.8,-2) {\footnotesize{(d) ReLU}};
+\end{scope}
+%%%------------------------------------------------------------------------------------------------------------
+\begin{scope}[yshift=-1.7in,xshift=1.6in]
+        \draw[->, line width=1pt](-1.4,0)--(1.4,0)node[left,below,font=\scriptsize]{$x$};
+        \draw[->, line width=1pt](0,-1.4)--(0,1.4)node[right,font=\scriptsize]{$y$};
+        \draw[dashed](-1.4,1)--(1.4,1);
+        \foreach \x in {-1.0,-0.5,0.0,0.5,1.0}{\draw(\x,0)--(\x,0.05)node[below,outer sep=2pt,font=\scriptsize]at(\x,0){\x};}
+        \foreach \y in {0.5,1.0}{\draw(0,\y)--(0.05,\y)node[left,outer sep=2pt,font=\scriptsize]at(0,\y){\y};}
+        \draw[color=red ,domain=-1.4:1.4, line width=1pt]plot(\x,{exp(-1*((\x)^2))});
+        \node[black,anchor=south] at (0,1.4) {\small $y =e^{-x^2}$};
+\node [anchor=south east,inner sep=1pt] (labele) at (0.8,-2) {\footnotesize{(e) Gaussian}};
+\end{scope}
+%%%------------------------------------------------------------------------------------------------------------
+\begin{scope}[yshift=-1.7in,xshift=3.2in]
+        \draw[->, line width=1pt](-1.4,0)--(1.4,0)node[left,below,font=\scriptsize]{$x$};
+        \draw[->, line width=1pt](0,-1.4)--(0,1.4)node[right,font=\scriptsize]{$y$};
+        \foreach \x in {-1.0,-0.5,0.0,0.5,1.0}{\draw(\x,0)--(\x,0.05)node[below,outer sep=2pt,font=\scriptsize]at(\x,0){\x};}
+        \foreach \y in {0.5,1.0}{\draw(0,\y)--(0.05,\y)node[left,outer sep=2pt,font=\scriptsize]at(0,\y){\y};}
+        \draw[color=red ,domain=-1:1, line width=1pt]plot(\x,\x);
+        \node[black,anchor=south] at (0,1.4) {\small $y =x$};
+\node [anchor=south east,inner sep=1pt] (labelf) at (0.8,-2) {\footnotesize{(f) Identity}};
+\end{scope}
+\end{tikzpicture}
+%%%------------------------------------------------------------------------------------------------------------
\ No newline at end of file
--- a/Chapter9/Figures/fig-artificial-neuron.tex
+++ b/Chapter9/Figures/fig-artificial-neuron.tex
@@ -2,14 +2,14 @@
 \begin{tikzpicture}
 \begin{scope}
 \node [anchor=center,circle,draw,ublue,very thick,minimum size=3.5em,fill=white,drop shadow={shadow xshift=0.1em,shadow yshift=-0.1em}] (neuron) at (0,0) {};
-\node [anchor=east] (x1) at ([xshift=-6em]neuron.west) {\Large{$x_1$}};
+\node [anchor=east] (x1) at ([xshift=-6em]neuron.west) {\Large{$x_2$}};
-\node [anchor=center] (x0) at ([yshift=3em]x1.center) {\Large{$x_0$}};
+\node [anchor=center] (x0) at ([yshift=3em]x1.center) {\Large{$x_1$}};
 \node [anchor=center] (x2) at ([yshift=-3em]x1.center) {\Large{$b$}};
 \node [anchor=west] (y) at ([xshift=6em]neuron.east) {\Large{$y$}};
 \node [anchor=center] (neuronmath) at (neuron.center) {\Large{$f$}};
-\draw [->,thick] (x0.east) -- (neuron.150) node [pos=0.5,above] {$w_0$};
+\draw [->,thick] (x0.east) -- (neuron.150) node [pos=0.5,above] {$w_1$};
-\draw [->,thick] (x1.east) -- (neuron.180) node [pos=0.5,above] {$w_1$};
+\draw [->,thick] (x1.east) -- (neuron.180) node [pos=0.5,above] {$w_2$};
 \draw [->,thick] (x2.east) -- (neuron.210) node [pos=0.5,above] {$$};
 \draw [->,thick] (neuron.east) -- (y.west);

--- a/Chapter9/Figures/fig-back-propagation-hid.tex
+++ b/Chapter9/Figures/fig-back-propagation-hid.tex
 %%%------------------------------------------------------------------------------------------------------------
 \begin{tikzpicture}
 \begin{scope}
-\node [anchor=center,draw,fill=red!20,minimum height=1.8em,minimum width=2.5em] (h) at (0,0) {$\textbf{h}^{k-1}$};
+\node [anchor=center,draw,fill=red!20,minimum height=1.8em,minimum width=2.5em] (h) at (0,0) {${\bm h}^{k-1}$};
-\node [anchor=west,draw,fill=blue!20,minimum height=1.8em,minimum width=2.5em] (s) at ([xshift=6em]h.east) {$\textbf{s}^{k}$};
+\node [anchor=west,draw,fill=blue!20,minimum height=1.8em,minimum width=2.5em] (s) at ([xshift=6em]h.east) {${\bm s}^{k}$};
-\node [anchor=west,draw,fill=green!20,minimum height=1.8em,minimum width=2.5em] (h2) at ([xshift=6em]s.east) {$\textbf{h}^{k}$};
+\node [anchor=west,draw,fill=green!20,minimum height=1.8em,minimum width=2.5em] (h2) at ([xshift=6em]s.east) {${\bm h}^{k}$};
 \node [anchor=east] (prev) at ([xshift=-2em]h.west) {...};
 \node [anchor=west] (next) at ([xshift=2em]h2.east) {...};
 \draw [->,thick] ([xshift=0.1em]prev.east) -- ([xshift=-0.1em]h.west);
-\draw [->,thick] ([xshift=0.1em]h.east) -- ([xshift=-0.1em]s.west) node [pos=0.5,below] {\scriptsize{$\textbf{s}^k = \textbf{h}^{k-1}\textbf{w}^k$}};
+\draw [->,thick] ([xshift=0.1em]h.east) -- ([xshift=-0.1em]s.west) node [pos=0.5,below] {\scriptsize{${\bm s}^k = {\bm h}^{k-1}{\bm W}^k$}};
-\draw [->,thick] ([xshift=0.1em]s.east) -- ([xshift=-0.1em]h2.west) node [pos=0.5,below] {\scriptsize{$\textbf{h}^k = f^k(\textbf{s}^{k})$}};
+\draw [->,thick] ([xshift=0.1em]s.east) -- ([xshift=-0.1em]h2.west) node [pos=0.5,below] {\scriptsize{${\bm h}^k = f^k({\bm s}^{k})$}};
 \draw [->,thick] ([xshift=0.1em]h2.east) -- ([xshift=-0.1em]next.west);
 {
@@ -29,15 +29,15 @@
 }
 {
-\node [anchor=south] (h2label) at (h2.north) {$\frac{\partial L}{\partial \textbf{h}^{k}}$};
+\node [anchor=south] (h2label) at (h2.north) {$\frac{\partial L}{\partial {\bm h}^{k}}$};
 }
 {
-\node [anchor=south] (slabel) at (s.north) {$\frac{\partial L}{\partial \textbf{s}^{k}}$};
+\node [anchor=south] (slabel) at (s.north) {$\frac{\partial L}{\partial {\bm s}^{k}}$};
 }
 {
-\node [anchor=south] (hlabel) at (h.north) {$\frac{\partial L}{\partial \textbf{h}^{k-1}}$, $\frac{\partial L}{\partial \textbf{w}^{k}}$};
+\node [anchor=south] (hlabel) at (h.north) {$\frac{\partial L}{\partial {\bm h}^{k-1}}$, $\frac{\partial L}{\partial {\bm W}^{k}}$};
 }
 \end{scope}

--- a/Chapter9/Figures/fig-back-propagation-output1.tex
+++ b/Chapter9/Figures/fig-back-propagation-output1.tex
 %%%------------------------------------------------------------------------------------------------------------
 \begin{tikzpicture}
 \begin{scope}
-\node [anchor=west,minimum height=1.7em,fill=blue!20,draw] (s) at (0,0) {$\textbf{s}^{K}$};
+\node [anchor=west,minimum height=1.7em,fill=blue!20,draw] (s) at (0,0) {${\bm s}^{K}$};
-\node [anchor=west,minimum height=1.7em,fill=green!20,draw] (h2) at ([xshift=5.5em]s.east) {$\textbf{h}^{K}$};
+\node [anchor=west,minimum height=1.7em,fill=green!20,draw] (h2) at ([xshift=5.5em]s.east) {${\bm h}^{K}$};
 \node [anchor=west,minimum height=1.7em,fill=orange!20,draw] (l) at ([xshift=5.5em]h2.east) {$L$};
 \draw [->] (s.east) -- (h2.west);
 \draw [->] (h2.east) -- (l.west);
-\draw [->,very thick,red] ([yshift=1em,xshift=-0.1em]l.north) -- ([yshift=1em,xshift=0.1em]h2.north) node [pos=0.5,above] {\scriptsize{求梯度{$\frac{\partial L}{\partial \textbf{h}^K} = ?$}}};
+\draw [->,very thick,red] ([yshift=1em,xshift=-0.1em]l.north) -- ([yshift=1em,xshift=0.1em]h2.north) node [pos=0.5,above] {\scriptsize{求梯度{$\frac{\partial L}{\partial {\bm h}^K} = ?$}}};
-\draw [->,very thick,red] ([yshift=1em,xshift=-0.1em]h2.north) -- ([yshift=1em,xshift=0.1em]s.north) node [pos=0.5,above] {\scriptsize{求梯度{$\frac{\partial f^K(\textbf{s}^K)}{\partial \textbf{s}^K} = ?$}}};
+\draw [->,very thick,red] ([yshift=1em,xshift=-0.1em]h2.north) -- ([yshift=1em,xshift=0.1em]s.north) node [pos=0.5,above] {\scriptsize{求梯度{$\frac{\partial f^K({\bm s}^K)}{\partial {\bm s}^K} = ?$}}};
 \draw [-,very thick,red] ([yshift=0.5em]l.north) -- ([yshift=1.5em]l.north);
 \draw [-,very thick,red] ([yshift=0.5em]h2.north) -- ([yshift=1.5em]h2.north);
 \draw [-,very thick,red] ([yshift=0.5em]s.north) -- ([yshift=1.5em]s.north);

--- a/Chapter9/Figures/fig-back-propagation-output2.tex
+++ b/Chapter9/Figures/fig-back-propagation-output2.tex
 %%%------------------------------------------------------------------------------------------------------------
 \begin{tikzpicture}
 \begin{scope}
-\node [anchor=center,minimum height=1.7em,fill=yellow!20,draw] (h) at (0,0) {$\textbf{h}^{K-1}$};
+\node [anchor=center,minimum height=1.7em,fill=yellow!20,draw] (h) at (0,0) {${\bm h}^{K-1}$};
-\node [anchor=west,minimum height=1.7em,fill=blue!20,draw] (s) at ([xshift=6.0em]h.east) {$\textbf{s}^{K}$};
+\node [anchor=west,minimum height=1.7em,fill=blue!20,draw] (s) at ([xshift=6.0em]h.east) {${\bm s}^{K}$};
 \draw [->] (h.east) -- (s.west);
-\node [anchor=south west,inner sep=2pt] (step100) at ([xshift=0.5em,yshift=-0.8em]h.north east) {\scriptsize{$\textbf{s}^K = \textbf{h}^{K-1} \textbf{w}^K$}};
+\node [anchor=south west,inner sep=2pt] (step100) at ([xshift=0.5em,yshift=-0.8em]h.north east) {\scriptsize{${\bm s}^K = {\bm h}^{K-1} {\bm W}^K$}};
-\node [anchor=south west] (slabel) at ([yshift=1em,xshift=0.3em]s.north) {\scriptsize{\textbf{{已经得到：$\pi^K = \frac{\partial L}{\partial \textbf{s}^K}$}}}};
+\node [anchor=south west] (slabel) at ([yshift=1em,xshift=0.3em]s.north) {\scriptsize{\textbf{{已经得到：${\bm \pi}^K = \frac{\partial L}{\partial {\bm s}^K}$}}}};
 \draw [->] ([yshift=0.3em]slabel.south) .. controls +(south:0.5) and +(north:0.5) .. ([xshift=0.5em,yshift=0.1em]s.north);
 {
-\draw [->,very thick,red] ([yshift=1em,xshift=-0.1em]s.north) -- ([yshift=1.0em,xshift=0.1em]h.north) node [pos=0.5,above] {\scriptsize{{$\frac{\partial L}{\partial \textbf{w}^K} = ?$, $\frac{\partial L}{\partial \textbf{h}^{K-1}} = ?$}}};
+\draw [->,very thick,red] ([yshift=1em,xshift=-0.1em]s.north) -- ([yshift=1.0em,xshift=0.1em]h.north) node [pos=0.5,above] {\scriptsize{{$\frac{\partial L}{\partial {\bm W}^K} = ?$, $\frac{\partial L}{\partial {\bm h}^{K-1}} = ?$}}};
 \draw [-,very thick,red] ([yshift=0.5em]h.north) -- ([yshift=1.5em]h.north);
 \draw [-,very thick,red] ([yshift=0.5em]s.north) -- ([yshift=1.5em]s.north);
 }

--- a/Chapter9/Figures/fig-bias.tex
+++ b/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{$w_1=100$}}\\[-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{$w_1=100$}\\[-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{$w_1=100$}\\[-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}

--- a/Chapter9/Figures/fig-broadcast.tex
+++ b/Chapter9/Figures/fig-broadcast.tex
@@ -8,7 +8,7 @@
    \node [fill=orange!20,inner sep=0pt,minimum height=0.49cm,minimum width=0.49cm] at (\x,\y) {$\number\value{mycount1}$};
    \addtocounter{mycount1}{1};
  }
-\node [anchor=south] (varlabel) at (0,0.6) {$\mathbf{s}$};
+\node [anchor=south] (varlabel) at (0,0.6) {$\vectorn{\emph{s}}$};
 \node [anchor=north] (labelc) at (0,-0.7) {\footnotesize{(a)}};
 \end{scope}
@@ -20,7 +20,7 @@
    \node [fill=green!20,inner sep=0pt,minimum height=0.48cm,minimum width=0.48cm] at (\x,\y) {$1$};
    \addtocounter{mycount1}{1};
  }
-\node [anchor=south] (varlabel) at (0,0.1) {$\mathbf{b}$};
+\node [anchor=south] (varlabel) at (0,0.1) {$\vectorn{\emph{b}}$};
 \node [anchor=north] (labelc) at (0,-0.7) {\footnotesize{(b)}};
 \end{scope}
@@ -34,7 +34,7 @@
    \node [fill=orange!20,inner sep=0pt,minimum height=0.49cm,minimum width=0.49cm] at (\x,\y) {$\number\value{mycount1}$};
    \addtocounter{mycount1}{1};
  }
-\node [anchor=south] (varlabel) at (0,0.6) {$\mathbf{s}$};
+\node [anchor=south] (varlabel) at (0,0.6) {$\vectorn{\emph{s}}$};
 \end{scope}
 \begin{scope}[yshift=-1in,xshift=1.5in]
 \setcounter{mycount1}{1}
@@ -50,7 +50,7 @@
    \addtocounter{mycount1}{1};
  }
 \node [anchor=center] (plabel) at (-4.5em,0) {\huge{$\mathbf{+}$}};
-\node [anchor=south] (varlabel) at (0,0.6) {$\mathbf{b}$};
+\node [anchor=south] (varlabel) at (0,0.6) {$\vectorn{\emph{b}}$};
 \node [anchor=north] (labelc) at (0,-0.7) {\footnotesize{(c)}};
 \end{scope}
 \begin{scope}[yshift=-1in,xshift=3in]
@@ -62,7 +62,7 @@
    \addtocounter{mycount1}{1};
  }
 \node [anchor=center] (plabel) at (-4.5em,0) {\huge{$\mathbf{=}$}};
-\node [anchor=south] (varlabel) at (0,0.6) {$\mathbf{s}+\mathbf{b}$};
+\node [anchor=south] (varlabel) at (0,0.6) {${\vectorn{\emph{s}}}+\vectorn{\emph{b}}$};
 \end{scope}

--- a/Chapter9/Figures/fig-corresponence-between-matrix-element-and-output.tex
+++ b/Chapter9/Figures/fig-corresponence-between-matrix-element-and-output.tex
@@ -8,29 +8,29 @@
 \node [anchor=center,neuronnode] (neuron01) at ([yshift=-3em]neuron00) {};
 \node [anchor=center,neuronnode] (neuron02) at ([yshift=-3em]neuron01) {};
-\node [anchor=east] (x0) at ([xshift=-6em]neuron00.west) {$x_0$};
+\node [anchor=east] (x0) at ([xshift=-6em]neuron00.west) {$x_1$};
-\node [anchor=east] (x1) at ([xshift=-6em]neuron01.west) {$x_1$};
+\node [anchor=east] (x1) at ([xshift=-6em]neuron01.west) {$x_2$};
-\node [anchor=east] (x2) at ([xshift=-6em]neuron02.west) {$b$};
+\node [anchor=east] (x2) at ([xshift=-6em]neuron02.west) {${\vectorn{\emph{b}}}$};
-\node [anchor=west] (y0) at ([xshift=4em]neuron00.east) {$y_0$：\scriptsize{温度}};
+\node [anchor=west] (y0) at ([xshift=4em]neuron00.east) {$y_1$：\scriptsize{温度}};
-\draw [->,red!50,line width=0.4mm] (x0.east) -- (neuron00.180) node [pos=0.1,above] {\tiny{$w_{00}$}};
+\draw [->,red!50,line width=0.4mm] (x0.east) -- (neuron00.180) node [pos=0.1,above] {\tiny{$w_{11}$}};
-\draw [->,red!50,line width=0.4mm] (x1.east) -- (neuron00.200) node [pos=0.1,above] {\tiny{$w_{10}$}};
+\draw [->,red!50,line width=0.4mm] (x1.east) -- (neuron00.200) node [pos=0.1,above] {\tiny{$w_{21}$}};
-\draw [->,red!50,line width=0.4mm] (x2.east) -- (neuron00.220) node [pos=0.05,above,yshift=0.3em] {\tiny{$b_{0}$}};
+\draw [->,red!50,line width=0.4mm] (x2.east) -- (neuron00.220) node [pos=0.05,above,yshift=0.3em] {\tiny{$b_{1}$}};
 \draw [->,red!30,line width=0.4mm] (neuron00.east) -- (y0.west);
-\node [anchor=west] (y1) at ([xshift=4em]neuron01.east) {$y_1$：\scriptsize{湿度}};
+\node [anchor=west] (y1) at ([xshift=4em]neuron01.east) {$y_2$：\scriptsize{湿度}};
-\draw [->,blue!50,line width=0.4mm] (x0.east) -- (neuron01.160) node [pos=0.4,above] {\tiny{$w_{01}$}};
+\draw [->,blue!50,line width=0.4mm] (x0.east) -- (neuron01.160) node [pos=0.4,above] {\tiny{$w_{12}$}};
-\draw [->,blue!50,line width=0.4mm] (x1.east) -- (neuron01.180) node [pos=0.35,above,yshift=-0.2em] {\tiny{$w_{11}$}};
+\draw [->,blue!50,line width=0.4mm] (x1.east) -- (neuron01.180) node [pos=0.35,above,yshift=-0.2em] {\tiny{$w_{22}$}};
-\draw [->,blue!50,line width=0.4mm] (x2.east) -- (neuron01.200) node [pos=0.3,below,yshift=0.2em] {\tiny{$b_{1}$}};
+\draw [->,blue!50,line width=0.4mm] (x2.east) -- (neuron01.200) node [pos=0.3,below,yshift=0.2em] {\tiny{$b_{2}$}};
 \draw [->,blue!30,line width=0.4mm] (neuron01.east) -- (y1.west);
-\node [anchor=west] (y2) at ([xshift=4em]neuron02.east) {$y_2$：\scriptsize{风力}};
+\node [anchor=west] (y2) at ([xshift=4em]neuron02.east) {$y_3$：\scriptsize{风力}};
-\draw [->,ugreen!50,line width=0.4mm] (x0.east) -- (neuron02.140) node [pos=0.1,below,yshift=-0.2em] {\tiny{$w_{02}$}};
+\draw [->,ugreen!50,line width=0.4mm] (x0.east) -- (neuron02.140) node [pos=0.1,below,yshift=-0.2em] {\tiny{$w_{13}$}};
-\draw [->,ugreen!50,line width=0.4mm] (x1.east) -- (neuron02.160) node [pos=0.1,below] {\tiny{$w_{12}$}};
+\draw [->,ugreen!50,line width=0.4mm] (x1.east) -- (neuron02.160) node [pos=0.1,below] {\tiny{$w_{23}$}};
-\draw [->,ugreen!50,line width=0.4mm] (x2.east) -- (neuron02.180) node [pos=0.3,below] {\tiny{$b_{2}$}};
+\draw [->,ugreen!50,line width=0.4mm] (x2.east) -- (neuron02.180) node [pos=0.3,below] {\tiny{$b_{3}$}};
 \draw [->,ugreen!30,line width=0.4mm] (neuron02.east) -- (y2.west);
 \end{scope}

--- a/Chapter9/Figures/fig-different-forms-of-neuronal-input.tex
+++ b/Chapter9/Figures/fig-different-forms-of-neuronal-input.tex
@@ -5,7 +5,7 @@
 \draw [->,thick] (0,0) -- (2.5,0);
 \draw [->,thick] (0,0) -- (0, 1.5);
 \draw [-,very thick,ublue,domain=0.6:2,samples=100] plot (\x,{ 1/\x - 0.2});
-\node [anchor=east] (ylabel) at (0, 3.2em) {\footnotesize{$x_0$}};
+\node [anchor=east] (ylabel) at (0, 3.2em) {\footnotesize{$x_1$}};
 \node [anchor=north] (xlabel) at (5em, 0em) {\scriptsize{距离(km)}};
 \end{scope}
@@ -13,14 +13,14 @@
 \draw [->,thick] (0,0) -- (2.5,0);
 \draw [->,thick] (0,0) -- (0, 1.5);
 \draw [-,very thick,ublue,domain=0.4:2,samples=100] plot (\x,{ 0.5/\x});
-\node [anchor=east] (ylabel) at (0, 3.2em) {\footnotesize{$x_1$}};
+\node [anchor=east] (ylabel) at (0, 3.2em) {\footnotesize{$x_2$}};
 \node [anchor=north] (xlabel) at (5em, 0em) {\scriptsize{票价(元)}};
 \end{scope}
 \begin{scope}[xshift=18em]
 \draw [->,thick] (0,0) -- (2.5,0);
 \draw [->,thick] (0,0) -- (0, 1.5);
-\node [anchor=east] (ylabel) at (0, 3.2em) {\footnotesize{$x_2$}};
+\node [anchor=east] (ylabel) at (0, 3.2em) {\footnotesize{$x_3$}};
 \node [anchor=south, fill=ublue, minimum width=1.5em, minimum height=0.1em, inner sep=0] (histogram1) at (1.5em, 0) {};
 \node [anchor=south, fill=ublue, minimum width=1.5em, minimum height=3em, inner sep=0] (histogram2) at (4.0em, 0) {};
 \node [anchor=north] (hlabel1) at (histogram1.south) {\tiny{女友不去}};

--- a/Chapter9/Figures/fig-embedding-matrix.tex
+++ b/Chapter9/Figures/fig-embedding-matrix.tex
@@ -2,16 +2,16 @@
 \begin{tikzpicture}
 \begin{scope}
 \node [anchor=center,inner sep=2pt] (e) at (0,0) {\small{$e=w$}};
-\node [anchor=west,inner sep=2pt] (c) at (e.east) {\small{$\textbf{C}$}};
+\node [anchor=west,inner sep=2pt] (c) at (e.east) {\small{${\bm C}$}};
 \begin{pgfonlayer}{background}
 \node [rectangle,inner sep=0.4em,draw,fill=blue!20!white] [fit = (e) (c)] (box) {};
 \end{pgfonlayer}
-\draw [->,thick] ([yshift=-1em]box.south)--([yshift=-0.1em]box.south) node [pos=0,below] (bottom1) {\small{单词$w$}};
+\draw [->,thick] ([yshift=-1em]box.south)--([yshift=-0.1em]box.south) node [pos=0,below] (bottom1) {\small{单词$w$的one-hot表示}};
-\draw [->,thick] ([yshift=0.1em]box.north)--([yshift=1em]box.north) node [pos=1,above] (top1) {\scriptsize{$e$=(8,.2,-1,.9,...,1)}};
+\draw [->,thick] ([yshift=0.1em]box.north)--([yshift=1em]box.north) node [pos=1,above] (top1) {\scriptsize{${\bm e}$=(8,.2,-1,.9,...,1)}};
-\node [anchor=north] (bottom2) at ([yshift=0.3em]bottom1.south) {\scriptsize{$w$=(0,0,1,0,...,0)}};
+\node [anchor=north] (bottom2) at ([yshift=0.3em]bottom1.south) {\scriptsize{${\bm o}$=(0,0,1,0,...,0)}};
-\node [anchor=south] (top2) at ([yshift=-0.3em]top1.north) {\small{$w$的分布式表示}};
+\node [anchor=south] (top2) at ([yshift=-0.3em]top1.north) {\small{单词$w$的分布式表示}};
 {
 \node [anchor=north west,fill=red!20!white] (cmatrix) at ([xshift=3em,yshift=1.0em]c.north east) {\scriptsize{$\begin{pmatrix} 1 & .2 & -.2 & 8 & ... & 0 \\ .6 & .8 & -2 & 1 & ... & -.2 \\ 8 & .2 & -1 & .9 & ... & 2.3 \\ 1 & 1.2 & -.9 & 3 & ... & .2 \\ ... & ... & ... & ... & ... & ... \\ 1 & .3 & 3 & .9 & ... & 5.1 \end{pmatrix}$}};
@@ -20,7 +20,7 @@
 }
 {
-\node [anchor=south,draw,fill=green!20!white] (e2) at ([yshift=1.5em]cmatrix.north) {\scriptsize{外部词嵌入系统得到的$\textbf{C}$}};
+\node [anchor=south,draw,fill=green!20!white] (e2) at ([yshift=1.5em]cmatrix.north) {\scriptsize{外部词嵌入系统得到的${\bm C}$}};
 \draw [->,very thick,dashed] (e2.south) -- (cmatrix.north);
 }

--- a/Chapter9/Figures/fig-fit.tex
+++ b/Chapter9/Figures/fig-fit.tex
@@ -11,7 +11,7 @@
 \draw [-,ublue] (n11.west) -- (n11.east);
 \node [anchor=north] (x1) at ([yshift=-6em]n11.south) {$x_1$};
 \node [anchor=north] (labela) at ([xshift=3.5em,yshift=-0.5em]x1.south) {\footnotesize{(a) 拟合一小段函数}};
-\node [anchor=north] (b) at ([yshift=-6em]n10.south) {$b$};
+\node [anchor=north] (b) at ([yshift=-6em]n10.south) {$\vectorn{\emph{b}}$};
 {
 \draw [->,thick,red] (b.north) -- ([yshift=-0.1em]n10.south);
 \draw [->,thick,ugreen] (x1.north) -- ([yshift=-0.1em]n10.290);
@@ -33,11 +33,11 @@
 %% weight and bias
 {\node [anchor=center,rotate=90,fill=white,inner sep=1pt] (b0) at ([yshift=3em,xshift=-0.5em]b.north) {\tiny{$b_1=-6$}};}
-{\node [anchor=center,rotate=-59,fill=white,inner sep=1pt] (w2) at ([yshift=1.2em,xshift=-1.2em]x1.north) {\tiny{$w_1=100$}};}
+{\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{$w_2=100$}};}
+{\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{$w'_1=-0.7$}};}
+{\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{$w'_2=0.7$}};}
+{\node [anchor=center,rotate=-62,fill=white,inner sep=1pt] (w22) at ([yshift=1.8em,xshift=-0.2em]n11.north) {\tiny{$w_{22}=0.7$}};}
 %% sigmoid box
 \begin{scope}
@@ -45,7 +45,7 @@
 \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=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{$s_2=x_1 \cdot w_2 + b$}};
+\node [anchor=west,inner sep=2pt] (flabel3) at (slabel.east) {\scriptsize{$s_2=x_1 \cdot w_{12} + b$}};
 \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}
@@ -93,7 +93,7 @@
 \draw [-,ublue] (n11.west) -- (n11.east);
 \node [anchor=north] (x1) at ([yshift=-6em]n11.south) {$x_1$};
 \node [anchor=north] (labelb) at ([xshift=6em,yshift=-0.5em]x1.south) {\footnotesize{(b) 拟合更大一段函数}};
-\node [anchor=north] (b) at ([yshift=-6em]n10.south) {$b$};
+\node [anchor=north] (b) at ([yshift=-6em]n10.south) {$\vectorn{\emph{b}}$};
 {
 \draw [->,thick,red] (b.north) -- ([yshift=-0.1em]n10.south);
 \draw [->,thick,ugreen] (x1.north) -- ([yshift=-0.1em]n10.290);
@@ -127,11 +127,11 @@
 %% weight and bias
 {\node [anchor=center,rotate=90,fill=white,inner sep=1pt] (b0) at ([yshift=3em,xshift=-0.5em]b.north) {\tiny{$b_1=-6$}};}
-{\node [anchor=center,rotate=-59,fill=white,inner sep=1pt] (w2) at ([yshift=1.2em,xshift=-1.2em]x1.north) {\tiny{$w_1=100$}};}
+{\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{$w_2=100$}};}
+{\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{$w'_1=-0.7$}};}
+{\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{$w'_2=0.7$}};}
+{\node [anchor=center,rotate=-62,fill=white,inner sep=1pt] (w22) at ([yshift=1.8em,xshift=-0.2em]n11.north) {\tiny{$w_{22}=0.7$}};}
 %% sigmoid box
 \begin{scope}
@@ -139,7 +139,7 @@
 \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=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{$s_2=x_1 \cdot w_2 + b$}};
+\node [anchor=west,inner sep=2pt] (flabel3) at (slabel.east) {\scriptsize{$s_2=x_1 \cdot w_{12} + b$}};
 \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}
 {

--- a/Chapter9/Figures/fig-forward-propagation-hid.tex
+++ b/Chapter9/Figures/fig-forward-propagation-hid.tex
 %%%------------------------------------------------------------------------------------------------------------
 \begin{tikzpicture}
 \begin{scope}
-\node [anchor=center,draw,fill=red!20,minimum height=1.8em,minimum width=2.5em] (h) at (0,0) {$\textbf{h}^{k-1}$};
+\node [anchor=center,draw,fill=red!20,minimum height=1.8em,minimum width=2.5em] (h) at (0,0) {${\vectorn{\emph{h}}}^{k-1}$};
-\node [anchor=west,draw,fill=blue!20,minimum height=1.8em,minimum width=2.5em] (s) at ([xshift=6em]h.east) {$\textbf{s}^{k}$};
+\node [anchor=west,draw,fill=blue!20,minimum height=1.8em,minimum width=2.5em] (s) at ([xshift=6em]h.east) {${\vectorn{\emph{s}}}^{k}$};
-\node [anchor=west,draw,fill=green!20,minimum height=1.8em,minimum width=2.5em] (h2) at ([xshift=6em]s.east) {$\textbf{h}^{k}$};
+\node [anchor=west,draw,fill=green!20,minimum height=1.8em,minimum width=2.5em] (h2) at ([xshift=6em]s.east) {${\vectorn{\emph{h}}}^{k}$};
 \node [anchor=east] (prev) at ([xshift=-2em]h.west) {...};
 \node [anchor=west] (next) at ([xshift=2em]h2.east) {...};
 \draw [->,thick] ([xshift=0.1em]prev.east) -- ([xshift=-0.1em]h.west);
-\draw [->,thick] ([xshift=0.1em]h.east) -- ([xshift=-0.1em]s.west) node [pos=0.5,below] {\scriptsize{$\textbf{s}^k = \textbf{h}^{k-1}\textbf{w}^k$}};
+\draw [->,thick] ([xshift=0.1em]h.east) -- ([xshift=-0.1em]s.west) node [pos=0.5,above] {\scriptsize{${\vectorn{\emph{s}}}^k = {\vectorn{\emph{h}}}^{k-1}{\vectorn{\emph{W}}}^k$}};
-\draw [->,thick] ([xshift=0.1em]s.east) -- ([xshift=-0.1em]h2.west) node [pos=0.5,below] {\scriptsize{$\textbf{h}^k = f^k(\textbf{s}^{k})$}};
+\draw [->,thick] ([xshift=0.1em]s.east) -- ([xshift=-0.1em]h2.west) node [pos=0.5,above] {\scriptsize{${\vectorn{\emph{h}}}^k = f^k({\vectorn{\emph{s}}}^{k})$}};
 \draw [->,thick] ([xshift=0.1em]h2.east) -- ([xshift=-0.1em]next.west);

--- a/Chapter9/Figures/fig-forward-propagation-output.tex
+++ b/Chapter9/Figures/fig-forward-propagation-output.tex
 %%%------------------------------------------------------------------------------------------------------------
 \begin{tikzpicture}
 \begin{scope}
-\node [anchor=center,minimum height=1.7em,fill=yellow!20,draw] (h) at (0,0) {$\textbf{h}^{K-1}$};
+\node [anchor=center,minimum height=1.7em,fill=yellow!20,draw] (h) at (0,0) {${\bm h}^{K-1}$};
-\node [anchor=west,minimum height=1.7em,fill=blue!20,draw] (s) at ([xshift=5.5em]h.east) {$\textbf{s}^{K}$};
+\node [anchor=west,minimum height=1.7em,fill=blue!20,draw] (s) at ([xshift=5.5em]h.east) {${\bm s}^{K}$};
-\node [anchor=west,minimum height=1.7em,fill=green!20,draw] (h2) at ([xshift=5.5em]s.east) {$\textbf{h}^{K}$};
+\node [anchor=west,minimum height=1.7em,fill=green!20,draw] (h2) at ([xshift=5.5em]s.east) {${\bm h}^{K}$};
 \node [anchor=west,minimum height=1.7em,fill=orange!20,draw] (l) at ([xshift=5.5em]h2.east) {$L$};
 \draw [->] (h.east) -- (s.west);
 \draw [->] (s.east) -- (h2.west);
 \draw [->] (h2.east) -- (l.west) node [pos=0.5,above] {\tiny{损失}};
-\node [anchor=south west,inner sep=2pt] (step100) at ([xshift=0.5em,yshift=-0.8em]h.north east) {\tiny{$\textbf{s}^K = \textbf{h}^{K-1} \textbf{w}^K$}};
+\node [anchor=south west,inner sep=2pt] (step100) at ([xshift=0.2em,yshift=-0.8em]h.north east) {\tiny{${\bm s}^K = {\bm h}^{K-1} {\bm W}^K$}};
-\node [anchor=south west,inner sep=2pt] (step101) at (step100.north west) {\tiny{线性变换}};
+\node [anchor=south west,inner sep=2pt] (step101) at ([xshift=1em]step100.north west) {\tiny{线性变换}};
-\node [anchor=south west,inner sep=2pt] (step200) at ([xshift=0.5em,yshift=-0.8em]s.north east) {\tiny{$\textbf{h}^K = f^K(\textbf{s}^K)$}};
+\node [anchor=south west,inner sep=2pt] (step200) at ([xshift=0.5em,yshift=-0.8em]s.north east) {\tiny{${\bm h}^K = f^K({\bm s}^K)$}};
-\node [anchor=south west,inner sep=2pt] (step201) at (step200.north west) {\tiny{激活函数}};
+\node [anchor=south west,inner sep=2pt] (step201) at ([xshift=1em]step200.north west) {\tiny{激活函数}};
 \node [anchor=south,inner sep=1pt] (outputlabel) at ([yshift=0.0em]h2.north) {\tiny{\textbf{输出层}}};

--- a/Chapter9/Figures/fig-four-layers-of-neural-network.tex
+++ b/Chapter9/Figures/fig-four-layers-of-neural-network.tex
@@ -2,9 +2,9 @@
 \begin{tikzpicture}
 \begin{scope}[]
-\def\neuronsep{1.3}
+\def\neuronsep{1.5}
-\tikzstyle{neuronnode} = [minimum size=1.7em,circle,draw,ublue,very thick,inner sep=1pt, fill=white,align=center,drop shadow={shadow xshift=0.1em,shadow yshift=-0.1em}]
+\tikzstyle{neuronnode} = [minimum size=2em,circle,draw,ublue,very thick,inner sep=1pt, fill=white,align=center,drop shadow={shadow xshift=0.1em,shadow yshift=-0.1em}]
 %%% layer 1
 \foreach \n in {1,...,5}{
@@ -16,10 +16,10 @@
    \foreach \m in {1,...,5}{
        \draw [<-] ([yshift=-0.1em]neuron0\m.south) -- ([yshift=-1.8em]neuron0\n.south);
    }
-    \node [anchor=north] (x\n) at ([yshift=-1.8em]neuron0\n.south) {$x_\n$};
+    \node [anchor=north] (x\n) at ([yshift=-2em]neuron0\n.south) {$x_\n$};
 }
-\node [anchor=west] (w1label) at ([xshift=-0.5em,yshift=0.5em]x5.north east) {$\textbf{w}_1$};
+\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) {};
@@ -37,7 +37,7 @@
 %%% layer 2
 {
 \foreach \n in {2,...,4}{
-    \node [neuronnode] (neuron1\n) at (\n * \neuronsep,3.5em) {\tiny{$f_2$}\\[-1ex] \tiny{$\sum$}};
+    \node [neuronnode] (neuron1\n) at (\n * \neuronsep,4.5em) {\tiny{$f_2$}\\[-1ex] \tiny{$\sum$}};
    \draw [-,ublue] (neuron1\n.east) -- (neuron1\n.west);
 }
@@ -47,7 +47,7 @@
    }
 }
-\node [anchor=west] (w2label) at ([xshift=-2.5em,yshift=4.6em]x5.north east) {$\textbf{w}_2$};
+\node [anchor=west] (w2label) at ([xshift=-2.5em,yshift=5.4em]x5.north east) {${\vectorn{\emph{W}}}_2$};
 \begin{pgfonlayer}{background}
 {
@@ -55,7 +55,7 @@
 }
 \end{pgfonlayer}
-\node [anchor=west] (layer02label) at ([xshift=4.4em]layer02.east) {\footnotesize{第2层}};
+\node [anchor=west] (layer02label) at ([xshift=5em]layer02.east) {\footnotesize{第2层}};
 {
 \node [anchor=west] (layer02label2) at (layer02label.east) {\footnotesize{({隐层})}};
 }
@@ -64,7 +64,7 @@
 %%% layer 3
 {
 \foreach \n in {1,...,5}{
-    \node [neuronnode] (neuron2\n) at (\n * \neuronsep,7em) {\tiny{$f_3$}\\[-1ex] \tiny{$\sum$}};
+    \node [neuronnode] (neuron2\n) at (\n * \neuronsep,9em) {\tiny{$f_3$}\\[-1ex] \tiny{$\sum$}};
    \draw [-,ublue] (neuron2\n.east) -- (neuron2\n.west);
 }
@@ -77,7 +77,7 @@
    \draw [<-,thick] ([yshift=1.1em]neuron2\n.north) -- (neuron2\n.north);
 }
-\node [anchor=west] (w3label) at ([xshift=-2.5em,yshift=7.5em]x5.north east) {$\textbf{w}_3$};
+\node [anchor=west] (w3label) at ([xshift=-2.5em,yshift=9.5em]x5.north east) {${\vectorn{\emph{W}}}_3$};
 \begin{pgfonlayer}{background}
 {
@@ -94,4 +94,3 @@
 \end{scope}
 \end{tikzpicture}
 %%%------------------------------------------------------------------------------------------------------------
\ No newline at end of file
--- a/Chapter9/Figures/fig-gaussian.tex
+++ b/Chapter9/Figures/fig-gaussian.tex
-%%%------------------------------------------------------------------------------------------------------------
-\begin{tikzpicture}
-        \draw[->, line width=1pt](-1.2,0)--(1.2,0)node[left,below,font=\tiny]{$x$};
-        \draw[->, line width=1pt](0,-1.2)--(0,1.2)node[right,font=\tiny]{$y$};
-        \draw[dashed](-1.2,1)--(1.2,1);
-        \foreach \x in {-1.0,-0.5,0.0,0.5,1.0}{\draw(\x,0)--(\x,0.05)node[below,outer sep=2pt,font=\tiny]at(\x,0){\x};}
-        \foreach \y in {0.5,1.0}{\draw(0,\y)--(0.05,\y)node[left,outer sep=2pt,font=\tiny]at(0,\y){\y};}
-        \draw[color=red ,domain=-1.2:1.2, line width=1pt]plot(\x,{exp(-1*((\x)^2))});
-        \node[black,anchor=south] at (0,1.2) {\small $y =e^{-x^2}$};
-        \end{tikzpicture}
-%%%------------------------------------------------------------------------------------------------------------
--- a/Chapter9/Figures/fig-gradient-descent.tex
+++ b/Chapter9/Figures/fig-gradient-descent.tex
@@ -22,11 +22,11 @@
    domain         = -1:3,
    y domain       = 0:4,
    samples        = 30,
-    xlabel         = $\textbf{w}^{[1]}$,
+    xlabel         = ${\bm \theta}^{[1]}$,
-    ylabel         = $\textbf{w}^{[2]}$,
+    ylabel         = ${\bm \theta}^{[2]}$,
    xlabel style   = {xshift=0em,yshift=0.8em},
    ylabel style   = {xshift=0.2em,yshift=0.8em},
-    zlabel         = {$J(\textbf{w})$},
+    zlabel         = {$J({\bm \theta})$},
    ztick          = {-0.1},
    colorbar,
    colorbar style = {
@@ -42,7 +42,7 @@
    \node [circle,fill=red,minimum size=3pt,inner sep=1.5pt] () at (axis cs:0.5,2,-0.01) {};
-    \draw [->,very thick,ublue] (axis cs:0.5,2,-0.01) -- (axis cs:0.8,1.6,-0.03) node [pos=1,right,inner sep=2pt] {\tiny{-$\frac{\partial J(\textbf{w})}{\partial \textbf{w}}$}};
+    \draw [->,very thick,ublue] (axis cs:0.5,2,-0.01) -- (axis cs:0.8,1.6,-0.03) node [pos=1,right,inner sep=2pt] {\tiny{-$\frac{\partial J({\bm \theta})}{\partial {\bm \theta}}$}};
    \draw [->,very thick,dotted] (axis cs:0.5,2,-0.01) -- (axis cs:0.2,1.5,-0.03);
    \draw [->,very thick,dotted] (axis cs:0.5,2,-0.01) -- (axis cs:0.2,3.5,-0.03);
    %\draw [black!50] (axis cs:0,-1,0) -- (axis cs:0,4,0);

--- a/Chapter9/Figures/fig-identity.tex
+++ b/Chapter9/Figures/fig-identity.tex
-%%%------------------------------------------------------------------------------------------------------------
-\begin{tikzpicture}
-        \draw[->, line width=1pt](-1.2,0)--(1.2,0)node[left,below,font=\tiny]{$x$};
-        \draw[->, line width=1pt](0,-1.2)--(0,1.2)node[right,font=\tiny]{$y$};
-        \foreach \x in {-1.0,-0.5,0.0,0.5,1.0}{\draw(\x,0)--(\x,0.05)node[below,outer sep=2pt,font=\tiny]at(\x,0){\x};}
-        \foreach \y in {0.5,1.0}{\draw(0,\y)--(0.05,\y)node[left,outer sep=2pt,font=\tiny]at(0,\y){\y};}
-        \draw[color=red ,domain=-1:1, line width=1pt]plot(\x,\x);
-        \node[black,anchor=south] at (0,1.2) {\small $y =x$};
-        \end{tikzpicture}
-%%%------------------------------------------------------------------------------------------------------------
--- a/Chapter9/Figures/fig-multilayer-neural-network-example.tex
+++ b/Chapter9/Figures/fig-multilayer-neural-network-example.tex
@@ -2,24 +2,24 @@
 \begin{tikzpicture}
 \begin{scope}
-\def\neuronsep{1}
+\def\neuronsep{1.35}
-\tikzstyle{neuronnode} = [minimum size=1.2em,circle,draw,ublue,very thick,inner sep=1pt, fill=white,align=center,drop shadow={shadow xshift=0.1em,shadow yshift=-0.1em}];
+\tikzstyle{neuronnode} = [minimum size=1.9em,circle,draw,ublue,very thick,inner sep=1.75pt, fill=white,align=center,drop shadow={shadow xshift=0.1em,shadow yshift=-0.1em}];
 %%% layer 1
 \foreach \n in {1,...,4}{
    \node [neuronnode] (neuron0\n) at (\n * \neuronsep,0) {};
-    \draw [->] ([yshift=-0.8em]neuron0\n.south) -- ([yshift=-0.1em]neuron0\n.south) node [pos=0,below] {\tiny{...}};
+    \draw [->] ([yshift=-1.3em]neuron0\n.south) -- ([yshift=-0.1em]neuron0\n.south) node [pos=0,below] {\scriptsize{...}};
 }
 \begin{pgfonlayer}{background}
 \node [rectangle,inner sep=0.2em,fill=red!20] [fit = (neuron01) (neuron04)] (layer01) {};
-\node [anchor=east] (layer01label) at (layer01.west) {\scriptsize{层$k-1$}};
+\node [anchor=east] (layer01label) at (layer01.west) {\footnotesize{层$k-1$}};
 \end{pgfonlayer}
 %%% layer 2
 \foreach \n in {1,...,4}{
-    \node [neuronnode] (neuron1\n) at (\n * \neuronsep,3em) {};
+    \node [neuronnode] (neuron1\n) at (\n * \neuronsep,4em) {};
 }
 \foreach \n in {1,...,4}{
@@ -30,13 +30,13 @@
 \begin{pgfonlayer}{background}
 \node [rectangle,inner sep=0.2em,fill=ugreen!20] [fit = (neuron11) (neuron14)] (layer02) {};
-\node [anchor=east] (layer02label) at (layer02.west) {\scriptsize{层$k$}};
+\node [anchor=east] (layer02label) at (layer02.west) {\footnotesize{层$k$}};
 \end{pgfonlayer}
 %%% layer 3
 \foreach \n in {1,...,4}{
-    \node [neuronnode] (neuron2\n) at (\n * \neuronsep,6em) {};
+    \node [neuronnode] (neuron2\n) at (\n * \neuronsep,8em) {};
-    \draw [<-] ([yshift=0.8em]neuron2\n.north) -- ([yshift=0.0em]neuron2\n.north) node [pos=0,above] {\tiny{...}};
+    \draw [<-] ([yshift=0.8em]neuron2\n.north) -- ([yshift=0.0em]neuron2\n.north) node [pos=0,above] {\scriptsize{...}};
 }
 \foreach \n in {1,...,4}{
@@ -47,29 +47,27 @@
 \begin{pgfonlayer}{background}
 \node [rectangle,inner sep=0.2em,fill=blue!20] [fit = (neuron21) (neuron24)] (layer03) {};
-\node [anchor=east] (layer03label) at (layer03.west) {\scriptsize{层$k+1$}};
+\node [anchor=east] (layer03label) at (layer03.west) {\footnotesize{层$k+1$}};
 \end{pgfonlayer}
 %%% output layer
 \foreach \n in {1,...,4}{
-    \node [neuronnode] (neuron3\n) at (\n * \neuronsep,9.4em) {};
+    \node [neuronnode] (neuron3\n) at (\n * \neuronsep,12.4em) {};
 {
-    \draw [<-] ([yshift=0.6em]neuron3\n.north) -- ([yshift=0.0em]neuron3\n.north) node [pos=0,above] {\tiny{output}};
+    \draw [<-] ([yshift=0.6em]neuron3\n.north) -- ([yshift=0.0em]neuron3\n.north) node [pos=0,above] {\scriptsize{output}};
-    }
-{
-    \draw [<-,very thick] ([yshift=0.6em]neuron3\n.north) -- ([yshift=0.0em]neuron3\n.north) node [pos=0,above] {\tiny{output}};
    }
    \draw [->] ([yshift=-0.6em]neuron3\n.south) -- ([yshift=0.0em]neuron3\n.south);
 }
 \begin{pgfonlayer}{background}
 \node [rectangle,inner sep=0.2em,fill=ugreen!20] [fit = (neuron31) (neuron34)] (layer04) {};
-\node [anchor=east] (layer04label) at (layer04.west) {\scriptsize{层$K$(输出)}};
+\node [anchor=east] (layer04label) at (layer04.west) {\footnotesize{层$K$(输出)}};
 \end{pgfonlayer}
 {
-\node [neuronnode,draw=red,fill=red!20!white,inner sep=1pt] (neuron12new) at (2 * \neuronsep,3em) {};
+\node [neuronnode,draw=red,fill=red!20!white,inner sep=1pt] (neuron12new) at (2 * \neuronsep,4em) {};
-\node [anchor=east] (neuronsamplelabel) at ([yshift=-1em]layer02label.south east) {{\textbf{\tiny{第$k$层, 第$i$个神经元}}}};
+\node [anchor=east] (neuronsamplelabel) at ([yshift=-1em]layer02label.south east) {{\textbf{\scriptsize{第$k$层, 第$i$个神经元}}}};
 \draw [->,dashed,very thick,red] ([xshift=-0.2em,yshift=0.2em]neuronsamplelabel.east) .. controls +(30:1) and +(220:1) .. ([xshift=-0em,yshift=-0em]neuron12new.210);
 }
@@ -80,7 +78,7 @@
 }
 {
 \draw [<-,thick,red] (neuron14.south) -- (neuron04.north);
-\node [anchor=north] (wlabel) at (layer02.south east) {{\scriptsize{$w_{4,4}^{k}$}}};
+\node [anchor=north] (wlabel) at (layer02.south east) {{\footnotesize{$w_{4,4}^{k}$}}};
 }
 \end{scope}

--- a/Chapter9/Figures/fig-parallel.tex
+++ b/Chapter9/Figures/fig-parallel.tex
@@ -10,10 +10,10 @@
 \tikzstyle{parametershard} = [draw,thick,minimum width=4em,align=left,rounded corners=2pt]
 {
-\node[parametershard,anchor=west,fill=yellow!10] (param1) at (0,0) {$W_o$};
+\node[parametershard,anchor=west,fill=yellow!10] (param1) at (0,0) {${\bm \theta}_o$};
 \node (param2) at ([xshift=1em]param1.east) {};
-\node[parametershard,anchor=west,fill=red!10] (param3) at ([xshift=1em]param2.east) {$W_h$};
+\node[parametershard,anchor=west,fill=red!10] (param3) at ([xshift=1em]param2.east) {${\bm \theta}_h$};
-\node[anchor=south,inner sep=1pt] (serverlabel) at ([yshift=0.2em]param2.north) {\footnotesize{\textbf{parameter server}: $\mathbf w_{\textrm{new}} = \mathbf w - \alpha\cdot \frac{\partial L}{\partial \mathbf w}$}};
+\node[anchor=south,inner sep=1pt] (serverlabel) at ([yshift=0.2em]param2.north) {\footnotesize{\textbf{参数服务器}: ${\bm \theta}_{\textrm{new}} = {\bm \theta} - \alpha\cdot \frac{\partial J}{\partial {\bm \theta}}$}};
 }
 \begin{pgfonlayer}{background}
@@ -25,15 +25,15 @@
 \tikzstyle{processor} = [draw,thick,fill=orange!20,minimum width=4em,align=left,rounded corners=2pt]
 {
-\node [processor,anchor=north,align=center] (processor2) at ([yshift=-1.2in]serverlabel.south) {\scriptsize{Processor 2}\\\scriptsize{on GPU2 (G2)}};
+\node [processor,anchor=north,align=center] (processor2) at ([yshift=-1.2in]serverlabel.south) {\scriptsize{处理器 2}\\\scriptsize{on GPU2 (G2)}};
 \node [anchor=north] (labela) at ([xshift=4em,yshift=-1em]processor2.south) {\footnotesize {(a)同步更新}};
-\node [processor,anchor=east,align=center] (processor1) at ([xshift=-1em]processor2.west) {\scriptsize{Processor 1}\\\scriptsize{on GPU1 (G1)}};
+\node [processor,anchor=east,align=center] (processor1) at ([xshift=-1em]processor2.west) {\scriptsize{处理器 1}\\\scriptsize{on GPU1 (G1)}};
-\node [processor,anchor=west,align=center] (processor3) at ([xshift=1em]processor2.east) {\scriptsize{Processor 3}\\\scriptsize{on GPU3 (G3)}};
+\node [processor,anchor=west,align=center] (processor3) at ([xshift=1em]processor2.east) {\scriptsize{处理器 3}\\\scriptsize{on GPU3 (G3)}};
 }
 {
-\draw[->,very thick,red] ([xshift=-0.5em,yshift=2pt]processor2.north) -- ([xshift=-0.5em,yshift=-2pt]serverbox.south) node [pos=0.5,align=right,xshift=-2em] (pushlabel) {\scriptsize{$\frac{\partial L}{\partial \mathbf w}$}};;
+\draw[->,very thick,red] ([xshift=-0.5em,yshift=2pt]processor2.north) -- ([xshift=-0.5em,yshift=-2pt]serverbox.south) node [pos=0.5,align=right,xshift=-2em] (pushlabel) {\scriptsize{$\frac{\partial J}{\partial{\bm \theta}}$}};;
-\draw[<-,very thick,blue] ([xshift=0.5em,yshift=2pt]processor2.north) -- ([xshift=0.5em,yshift=-2pt]serverbox.south) node [pos=0.5,align=left,xshift=2.2em] (fetchlabel) {\scriptsize{$\mathbf w_{\textrm{new}}$}};;;
+\draw[<-,very thick,blue] ([xshift=0.5em,yshift=2pt]processor2.north) -- ([xshift=0.5em,yshift=-2pt]serverbox.south) node [pos=0.5,align=left,xshift=2.2em] (fetchlabel) {\scriptsize{${\bm \theta}_{\textrm{new}}$}};;;
 \draw[->,very thick,red] ([xshift=-0.5em,yshift=2pt]processor3.north) --
 ([xshift=3em,yshift=-2pt]serverbox.south);
 \draw[<-,very thick,blue] ([xshift=0.5em,yshift=2pt]processor3.north) -- ([xshift=4em,yshift=-2pt]serverbox.south) node [pos=0.5,align=left,xshift=2.2em] (fetchlabel) {\scriptsize{fetch (F)}};
@@ -56,13 +56,13 @@
 \node[job,anchor=north west,fill=blue!50] (fetch13) at ([xshift=0.8em]fetch12.south west) {\textbf{F}};
 \node[job,anchor=west,fill=orange!30,minimum width=8em] (minibatch13) at ([yshift=1pt]fetch13.east) {\scriptsize{minibatch1}};
 \node[job,anchor=west,fill=red!50] (push13) at ([yshift=1pt]minibatch13.east) {\textbf{P}};
-\node[anchor=south west,draw,fill=gray!20,minimum width=8.0em] (update11) at ([yshift=4.0em]push11.north east) {Update};
+\node[anchor=south west,draw,fill=gray!20,minimum width=8.0em] (update11) at ([yshift=4.0em]push11.north east) {更新};
 \node[anchor=north] (G11) at (fetch11.west) {\small{G3}};
 \node[anchor=north] (G12) at (fetch12.west) {\small{G2}};
 \node[anchor=north] (G13) at (fetch13.west) {\small{G1}};
-\node[anchor=north,align=center] (synlabel) at (G12.south) {\small{\textbf{Synchronous}}\\\small{\textbf{Training}}};
+\node[anchor=north,align=center] (synlabel) at (G12.south) {\small{\textbf{同步更新}}};
-\draw[->,thick] ([xshift=1em]G13.east) -- ([xshift=1em,yshift=1.4in]G13.east) node [pos=0.5,rotate=90,yshift=-1em] {\small{time line}};
+\draw[->,thick] ([xshift=1em]G13.east) -- ([xshift=1em,yshift=1.4in]G13.east) node [pos=0.5,rotate=90,yshift=-1em] {\small{时间轴}};
 }
 }
@@ -88,10 +88,10 @@
 \tikzstyle{parametershard} = [draw,thick,minimum width=4em,align=left,rounded corners=2pt]
 {
-\node[parametershard,anchor=west,fill=yellow!10] (param1) at (0,0) {$W_o$};
+\node[parametershard,anchor=west,fill=yellow!10] (param1) at (0,0) {${\bm \theta}_o$};
 \node (param2) at ([xshift=1em]param1.east) {};
-\node[parametershard,anchor=west,fill=red!10] (param3) at ([xshift=1em]param2.east) {$W_h$};
+\node[parametershard,anchor=west,fill=red!10] (param3) at ([xshift=1em]param2.east) {${\bm \theta}_h$};
-\node[anchor=south,inner sep=1pt] (serverlabel) at ([yshift=0.2em]param2.north) {\footnotesize{\textbf{parameter server}: $\mathbf w_{new} = \mathbf w - \alpha\cdot \frac{\partial L}{\partial \mathbf w}$}};
+\node[anchor=south,inner sep=1pt] (serverlabel) at ([yshift=0.2em]param2.north) {\footnotesize{\textbf{参数服务器}: ${\bm \theta}_{\textrm {new}} = {\bm \theta} - \alpha\cdot \frac{\partial J}{\partial {\bm \theta}}$}};
 }
 \begin{pgfonlayer}{background}
@@ -103,15 +103,15 @@
 \tikzstyle{processor} = [draw,thick,fill=orange!20,minimum width=4em,align=left,rounded corners=2pt]
 {
-\node [processor,anchor=north,align=center] (processor2) at ([yshift=-1.2in]serverlabel.south) {\scriptsize{Processor 2}\\\scriptsize{on GPU2 (G2)}};
+\node [processor,anchor=north,align=center] (processor2) at ([yshift=-1.2in]serverlabel.south) {\scriptsize{处理器 2}\\\scriptsize{on GPU2 (G2)}};
 \node [anchor=north] (label) at ([xshift=4em,yshift=-1em]processor2.south) {\footnotesize {(b)异步更新}};
-\node [processor,anchor=east,align=center] (processor1) at ([xshift=-1em]processor2.west) {\scriptsize{Processor 1}\\\scriptsize{on GPU1 (G1)}};
+\node [processor,anchor=east,align=center] (processor1) at ([xshift=-1em]processor2.west) {\scriptsize{处理器 1}\\\scriptsize{on GPU1 (G1)}};
-\node [processor,anchor=west,align=center] (processor3) at ([xshift=1em]processor2.east) {\scriptsize{Processor 3}\\\scriptsize{on GPU3 (G3)}};
+\node [processor,anchor=west,align=center] (processor3) at ([xshift=1em]processor2.east) {\scriptsize{处理器 3}\\\scriptsize{on GPU3 (G3)}};
 }
 {
-\draw[->,very thick,red] ([xshift=-0.5em,yshift=2pt]processor2.north) -- ([xshift=-0.5em,yshift=-2pt]serverbox.south) node [pos=0.5,align=right,xshift=-2em] (pushlabel) {\scriptsize{$\frac{\partial L}{\partial \mathbf w}$}};;
+\draw[->,very thick,red] ([xshift=-0.5em,yshift=2pt]processor2.north) -- ([xshift=-0.5em,yshift=-2pt]serverbox.south) node [pos=0.5,align=right,xshift=-2em] (pushlabel) {\scriptsize{$\frac{\partial J}{\partial {\bm \theta}}$}};;
-\draw[<-,very thick,blue] ([xshift=0.5em,yshift=2pt]processor2.north) -- ([xshift=0.5em,yshift=-2pt]serverbox.south) node [pos=0.5,align=left,xshift=2.2em] (fetchlabel) {\scriptsize{$\mathbf w_{new}$}};;;
+\draw[<-,very thick,blue] ([xshift=0.5em,yshift=2pt]processor2.north) -- ([xshift=0.5em,yshift=-2pt]serverbox.south) node [pos=0.5,align=left,xshift=2.2em] (fetchlabel) {\scriptsize{${\bm \theta}_{\textrm{new}}$}};;;
 \draw[->,very thick,red] ([xshift=-0.5em,yshift=2pt]processor3.north) --
 ([xshift=3em,yshift=-2pt]serverbox.south);
 \draw[<-,very thick,blue] ([xshift=0.5em,yshift=2pt]processor3.north) -- ([xshift=4em,yshift=-2pt]serverbox.south) node [pos=0.5,align=left,xshift=2.2em] (fetchlabel) {\scriptsize{fetch (F)}};
@@ -134,14 +134,14 @@
 \node[job,anchor=north west,fill=blue!50] (fetch23) at ([xshift=0.8em]fetch22.south west) {\textbf{F}};
 \node[job,anchor=west,fill=orange!30,minimum width=8em] (minibatch23) at ([yshift=1pt]fetch23.east) {\scriptsize{minibatch1}};
 \node[job,anchor=west,fill=red!50] (push23) at ([yshift=1pt]minibatch23.east) {\textbf{P}};
-\node[anchor=south west,draw,fill=gray!20,minimum width=0.59in] (update21) at ([yshift=2pt]push21.north east) {Update};
+\node[anchor=south west,draw,fill=gray!20,minimum width=0.59in] (update21) at ([yshift=2pt]push21.north east) {更新};
-\node[anchor=south west,draw,fill=gray!20,minimum width=0.25in] (update22) at ([yshift=2pt]push23.north east) {\tiny{Upd.}};
+\node[anchor=south west,draw,fill=gray!20,minimum width=0.25in] (update22) at ([yshift=2pt]push23.north east) {\tiny{更新}};
 \node[anchor=north] (G21) at (fetch21.west) {\small{G3}};
 \node[anchor=north] (G22) at (fetch22.west) {\small{G2}};
 \node[anchor=north] (G23) at (fetch23.west) {\small{G1}};
-\node[anchor=north,align=center] (synlabel) at (G22.south) {\small{\textbf{Asynchronous}}\\\small{\textbf{Training}}};
+\node[anchor=north,align=center] (synlabel) at (G22.south) {\small{\textbf{异步更新}}};
-\draw[->,thick] ([xshift=1em]G23.east) -- ([xshift=1em,yshift=1.4in]G23.east) node [pos=0.5,rotate=90,yshift=-1em] {\small{time line}};
+\draw[->,thick] ([xshift=1em]G23.east) -- ([xshift=1em,yshift=1.4in]G23.east) node [pos=0.5,rotate=90,yshift=-1em] {\small{时间轴}};
 \draw [<->,thin,dotted] ([xshift=-1pt]update21.west) -- ([xshift=1pt,yshift=-1.5em]serverbox.north east);
 \draw [<->,thin,dotted] ([xshift=-1pt]update22.west) -- ([xshift=1pt,yshift=-1.5em]serverbox.north east);

--- a/Chapter9/Figures/fig-perceptron-mode.tex
+++ b/Chapter9/Figures/fig-perceptron-mode.tex
@@ -2,15 +2,15 @@
 \begin{tikzpicture}
 \begin{scope}
 \node [anchor=center,circle,draw,ublue,very thick,minimum size=3.5em,fill=white,drop shadow={shadow xshift=0.1em,shadow yshift=-0.1em}] (neuron) at (0,0) {};
-\node [anchor=east] (x1) at ([xshift=-6em]neuron.west) {\Large{$x_1$}};
+\node [anchor=east] (x1) at ([xshift=-6em]neuron.west) {\Large{$x_2$}};
-\node [anchor=center] (x0) at ([yshift=3em]x1.center) {\Large{$x_0$}};
+\node [anchor=center] (x0) at ([yshift=3em]x1.center) {\Large{$x_1$}};
-\node [anchor=center] (x2) at ([yshift=-3em]x1.center) {\Large{$x_2$}};
+\node [anchor=center] (x2) at ([yshift=-3em]x1.center) {\Large{$x_3$}};
 \node [anchor=west] (y) at ([xshift=6em]neuron.east) {\Large{$y$}};
 \node [anchor=center] (neuronmath) at (neuron.center) {\small{$\sum \ge \sigma$}};
-\draw [->,thick] (x0.east) -- (neuron.150) node [pos=0.5,above] {$w_0$};
+\draw [->,thick] (x0.east) -- (neuron.150) node [pos=0.5,above] {$w_1$};
-\draw [->,thick] (x1.east) -- (neuron.180) node [pos=0.5,above] {$w_1$};
+\draw [->,thick] (x1.east) -- (neuron.180) node [pos=0.5,above] {$w_2$};
-\draw [->,thick] (x2.east) -- (neuron.210) node [pos=0.5,above] {$w_2$};
+\draw [->,thick] (x2.east) -- (neuron.210) node [pos=0.5,above] {$w_3$};
 \draw [->,thick] (neuron.east) -- (y.west);
 \end{scope}

--- a/Chapter9/Figures/fig-perceptron-to-predict-1.tex
+++ b/Chapter9/Figures/fig-perceptron-to-predict-1.tex
@@ -2,15 +2,15 @@
 \begin{tikzpicture}
 \begin{scope}
 \node [anchor=center,circle,draw,ublue,very thick,minimum size=3.5em,fill=white,drop shadow={shadow xshift=0.1em,shadow yshift=-0.1em}] (neuron) at (0,0) {};
-\node [anchor=east] (x1) at ([xshift=-6em]neuron.west) {$x_1$:票价够低？};
+\node [anchor=east] (x1) at ([xshift=-6em]neuron.west) {$x_2$:票价够低？};
-\node [anchor=center] (x0) at ([yshift=3em]x1.center) {$x_0$:距离够近？};
+\node [anchor=center] (x0) at ([yshift=3em]x1.center) {$x_1$:距离够近？};
-\node [anchor=center] (x2) at ([yshift=-3em]x1.center) {$x_2$:女友喜欢？};
+\node [anchor=center] (x2) at ([yshift=-3em]x1.center) {$x_3$:女友喜欢？};
 \node [anchor=west] (y) at ([xshift=2em]neuron.east) {$y$:去？还是不去？};
 {
-\draw [->,thick] (x0.east) -- (neuron.150) node [pos=0.5,above,yshift=0.2em] {\small{$w_0=1$}};
+\draw [->,thick] (x0.east) -- (neuron.150) node [pos=0.5,above,yshift=0.2em] {\small{$w_1=1$}};
-\draw [->,thick] (x1.east) -- (neuron.180) node [pos=0.5,above,yshift=-0.1em] {\small{$w_1=1$}};
+\draw [->,thick] (x1.east) -- (neuron.180) node [pos=0.5,above,yshift=-0.1em] {\small{$w_2=1$}};
-\draw [->,thick] (x2.east) -- (neuron.210) node [pos=0.5,above,yshift=0.1em] {\small{$w_2=1$}};
+\draw [->,thick] (x2.east) -- (neuron.210) node [pos=0.5,above,yshift=0.1em] {\small{$w_3=1$}};
 }
 \draw [->,thick] (neuron.east) -- (y.west);

--- a/Chapter9/Figures/fig-perceptron-to-predict-2.tex
+++ b/Chapter9/Figures/fig-perceptron-to-predict-2.tex
@@ -2,15 +2,15 @@
 \begin{tikzpicture}
 \begin{scope}
 \node [anchor=center,circle,draw,ublue,very thick,minimum size=3.5em,fill=white,drop shadow={shadow xshift=0.1em,shadow yshift=-0.1em}] (neuron) at (0,0) {};
-\node [anchor=east] (x1) at ([xshift=-6em]neuron.west) {$x_1$:票价够低？};
+\node [anchor=east] (x1) at ([xshift=-6em]neuron.west) {$x_2$:票价够低？};
-\node [anchor=center] (x0) at ([yshift=3em]x1.center) {$x_0$:距离够近？};
+\node [anchor=center] (x0) at ([yshift=3em]x1.center) {$x_1$:距离够近？};
-\node [anchor=center] (x2) at ([yshift=-3em]x1.center) {$x_2$:女友喜欢？};
+\node [anchor=center] (x2) at ([yshift=-3em]x1.center) {$x_3$:女友喜欢？};
 \node [anchor=west] (y) at ([xshift=2em]neuron.east) {$y$:去？还是不去？};
-\draw [->,thin] (x0.east) -- (neuron.150) node [pos=0.5,above,yshift=0.2em] {\small{$w_0=.5$}};
+\draw [->,thin] (x0.east) -- (neuron.150) node [pos=0.5,above,yshift=0.2em] {\small{$w_1=.5$}};
-\draw [->,line width=0.5mm] (x1.east) -- (neuron.180) node [pos=0.5,above,yshift=-0.1em] {\textbf{\small{$w_1=2$}}};
+\draw [->,line width=0.5mm] (x1.east) -- (neuron.180) node [pos=0.5,above,yshift=-0.1em] {\textbf{\small{$w_2=2$}}};
-\draw [->,thin] (x2.east) -- (neuron.210) node [pos=0.5,above,yshift=0.1em] {\small{$w_2=.5$}};
+\draw [->,thin] (x2.east) -- (neuron.210) node [pos=0.5,above,yshift=0.1em] {\small{$w_3=.5$}};
 \draw [->,thick] (neuron.east) -- (y.west);
 \node [anchor=center] (neuronmath) at (neuron.center) {\small{$\sum \ge \sigma$}};

--- a/Chapter9/Figures/fig-perceptron-to-predict-3.tex
+++ b/Chapter9/Figures/fig-perceptron-to-predict-3.tex
@@ -2,9 +2,9 @@
 \begin{tikzpicture}
 \begin{scope}
 \node [anchor=center,circle,draw,ublue,very thick,minimum size=3.5em,fill=white,drop shadow={shadow xshift=0.1em,shadow yshift=-0.1em}] (neuron) at (0,0) {};
-\node [anchor=east] (x1) at ([xshift=-6em]neuron.west) {$x_1$:便宜程度\ \ \ \ };
+\node [anchor=east] (x1) at ([xshift=-6em]neuron.west) {$x_2$:便宜程度\ \ \ \ };
-\node [anchor=center] (x0) at ([yshift=3em]x1.center) {$x_0$:远近程度\ \ \ \ };
+\node [anchor=center] (x0) at ([yshift=3em]x1.center) {$x_1$:远近程度\ \ \ \ };
-\node [anchor=center] (x2) at ([yshift=-3em]x1.center) {$x_2$:女友喜欢？};
+\node [anchor=center] (x2) at ([yshift=-3em]x1.center) {$x_3$:女友喜欢？};
 \node [anchor=west] (y) at ([xshift=2em]neuron.east) {$y$:去？还是不去？};
 \draw [->,thick] (neuron.east) -- (y.west);
@@ -12,9 +12,9 @@
 \node [anchor=center] (neuronmath) at (neuron.center) {\small{$\sum \ge \sigma$}};
 {
-\draw [->,dotted] (x0.east) -- (neuron.150) node [pos=0.5,above,yshift=0.2em] {\small{$w_0=0$}};
+\draw [->,dotted] (x0.east) -- (neuron.150) node [pos=0.46,above,yshift=0.2em] {\small{$w_1=0$}};
-\draw [->,dotted] (x1.east) -- (neuron.180) node [pos=0.5,above,yshift=-0.1em] {\textbf{\small{$w_1=0$}}};
+\draw [->,dotted] (x1.east) -- (neuron.180) node [pos=0.46,above,yshift=-0.1em] {\textbf{\small{$w_2=0$}}};
-\draw [->,line width=0.5mm] (x2.east) -- (neuron.210) node [pos=0.5,above,yshift=0.1em] {\small{$w_2=10$}};
+\draw [->,line width=0.5mm] (x2.east) -- (neuron.210) node [pos=0.5,above,yshift=0.1em] {\small{$w_3=10$}};
 }

--- a/Chapter9/Figures/fig-relu.tex
+++ b/Chapter9/Figures/fig-relu.tex
-%%%------------------------------------------------------------------------------------------------------------
-\begin{tikzpicture}
-        \draw[->, line width=1pt](-1.2,0)--(1.2,0)node[left,below,font=\tiny]{$x$};
-        \draw[->, line width=1pt](0,-1.2)--(0,1.2)node[right,font=\tiny]{$y$};
-        \draw[dashed](-1.2,1)--(1.2,1);
-        \draw[dashed](-1.2,-1)--(1.2,-1);
-        \foreach \x in {-1.0,-0.5,0.0,0.5,1.0}{\draw(\x,0)--(\x,0.05)node[below,outer sep=2pt,font=\tiny]at(\x,0){\x};}
-        \foreach \y in {0.5,1.0}{\draw(0,\y)--(0.05,\y)node[left,outer sep=2pt,font=\tiny]at(0,\y){\y};}
-        \draw[color=red ,domain=-1.2:1.2, line width=1pt]plot(\x,{max(\x,0)});
-        \node[black,anchor=south] at (0,1.2) {\small $y =\max (0, x)$};
-        \end{tikzpicture}
-%%%------------------------------------------------------------------------------------------------------------
--- a/Chapter9/Figures/fig-residual-structure.tex
+++ b/Chapter9/Figures/fig-residual-structure.tex
@@ -10,15 +10,15 @@
 \node [anchor=north,draw,thick](node2)at ([yshift=-1.2em]node3.south){\small{weight layer}};
 \draw[->,thick](node2.north)--([yshift=0.35em]node3.south);
-\node[anchor=west](node2-1) at ([xshift=2.1em,yshift=1.2em]node2.east) {$\mathbf{x}$};
+\node[anchor=west](node2-1) at ([xshift=2.1em,yshift=1.2em]node2.east) {${\bm x}$};
 \node[anchor=north](node2-2) at ([xshift=0.2em,yshift=-0.3em]node2-1.south) {\footnotesize{$\rm{identity}$}};
-\node [anchor=east](node4) at ([xshift=-0.2em]node2.west) {$\textrm{F}(\mathbf{x})$};
+\node [anchor=east](node4) at ([xshift=-0.2em]node2.west) {$\textrm{F}({\bm x})$};
-\node [anchor=east](node5) at ([xshift=-0.3em]node3.west) {$\textrm{F}(\mathbf{x})+\mathbf{x}$};
+\node [anchor=east](node5) at ([xshift=-0.3em]node3.west) {$\textrm{F}({\bm x})+{\bm x}$};
 \node [anchor=north](node1) at ([yshift=-1.8em]node2.south) {};
 \draw[->,thick]([yshift=0.0em]node1.north)--(node2.south);
-\node [anchor=east](node1-1) at ([xshift=1em,yshift=0.4em]node1.east) {$\mathbf{x}$};
+\node [anchor=east](node1-1) at ([xshift=1em,yshift=0.4em]node1.east) {${\bm x}$};
 \draw[->,thick]([xshift=-1.3em,yshift=0.8em]node1-1.east)--([xshift=2.7em,yshift=0.8em]node1-1.east)--([xshift=2.7em,yshift=5.35em]node1-1.east)--([xshift=-0.4em]node3.east);

--- a/Chapter9/Figures/fig-rnn-lm.tex
+++ b/Chapter9/Figures/fig-rnn-lm.tex
@@ -7,14 +7,14 @@
 \node [anchor=west,rnnnode] (node13) at ([xshift=2em]node12.east) {\scriptsize{RNN Cell}};
 \node [anchor=west,rnnnode] (node14) at ([xshift=2em]node13.east) {\scriptsize{RNN Cell}};
 }
-\node [anchor=north,rnnnode,fill=red!30!white] (e1) at ([yshift=-1.2em]node11.south) {\tiny{$e_1=w_1\textbf{C}$}};
+\node [anchor=north,rnnnode,fill=red!30!white] (e1) at ([yshift=-1.2em]node11.south) {\tiny{${\bm e}_1={\bm o}_1{\bm C}$}};
-\node [anchor=north,rnnnode,fill=red!30!white] (e2) at ([yshift=-1.2em]node12.south) {\tiny{$e_2=w_2\textbf{C}$}};
+\node [anchor=north,rnnnode,fill=red!30!white] (e2) at ([yshift=-1.2em]node12.south) {\tiny{${\bm e}_2={\bm wo}_2{\bm C}$}};
-\node [anchor=north,rnnnode,fill=red!30!white] (e3) at ([yshift=-1.2em]node13.south) {\tiny{$e_3=w_3\textbf{C}$}};
+\node [anchor=north,rnnnode,fill=red!30!white] (e3) at ([yshift=-1.2em]node13.south) {\tiny{${\bm e}_3={\bm o}_3{\bm C}$}};
-\node [anchor=north,rnnnode,fill=red!30!white] (e4) at ([yshift=-1.2em]node14.south) {\tiny{$e_4=w_4\textbf{C}$}};
+\node [anchor=north,rnnnode,fill=red!30!white] (e4) at ([yshift=-1.2em]node14.south) {\tiny{${\bm e}_4={\bm o}_4{\bm C}$}};
-\node [anchor=north] (w1) at ([yshift=-1em]e1.south) {\footnotesize{$w_1$}};
+\node [anchor=north] (w1) at ([yshift=-1em]e1.south) {\footnotesize{${\bm o}_1$}};
-\node [anchor=north] (w2) at ([yshift=-1em]e2.south) {\footnotesize{$w_2$}};
+\node [anchor=north] (w2) at ([yshift=-1em]e2.south) {\footnotesize{${\bm o}_2$}};
-\node [anchor=north] (w3) at ([yshift=-1em]e3.south) {\footnotesize{$w_3$}};
+\node [anchor=north] (w3) at ([yshift=-1em]e3.south) {\footnotesize{${\bm o}_3$}};
-\node [anchor=north] (w4) at ([yshift=-1em]e4.south) {\footnotesize{$w_4$}};
+\node [anchor=north] (w4) at ([yshift=-1em]e4.south) {\footnotesize{${\bm o}_4$}};
 \draw [->,thick] ([yshift=0.1em]w1.north)--([yshift=-0.1em]e1.south);
 \draw [->,thick] ([yshift=0.1em]w2.north)--([yshift=-0.1em]e2.south);
@@ -39,10 +39,10 @@
 }
 {
-\draw [->,thick] ([yshift=0.1em]node31.north)--([yshift=1em]node31.north) node[pos=1,above] {\scriptsize{$\textrm{P}(w_2)$}};
+\draw [->,thick] ([yshift=0.1em]node31.north)--([yshift=1em]node31.north) node[pos=1,above] {\scriptsize{$\funp{P}(w_2)$}};
-\draw [->,thick] ([yshift=0.1em]node32.north)--([yshift=1em]node32.north) node[pos=1,above] {\scriptsize{$\textrm{P}(w_3|w_2)$}};
+\draw [->,thick] ([yshift=0.1em]node32.north)--([yshift=1em]node32.north) node[pos=1,above] {\scriptsize{$\funp{P}(w_3|w_2)$}};
-\draw [->,thick] ([yshift=0.1em]node33.north)--([yshift=1em]node33.north) node[pos=1,above] {\scriptsize{$\textrm{P}(w_4|w_2 w_3)$}};
+\draw [->,thick] ([yshift=0.1em]node33.north)--([yshift=1em]node33.north) node[pos=1,above] {\scriptsize{$\funp{P}(w_4|w_2 w_3)$}};
-\draw [->,thick] ([yshift=0.1em]node34.north)--([yshift=1em]node34.north) node[pos=1,above] {\scriptsize{$\textrm{P}(w_5|w_2 w_3 w_4)$}};
+\draw [->,thick] ([yshift=0.1em]node34.north)--([yshift=1em]node34.north) node[pos=1,above] {\scriptsize{$\funp{P}(w_5|w_2 w_3 w_4)$}};
 \draw [->,thick] ([yshift=0.1em]node21.north)--([yshift=-0.1em]node31.south);
 \draw [->,thick] ([yshift=0.1em]node22.north)--([yshift=-0.1em]node32.south);

--- a/Chapter9/Figures/fig-sigmoid.tex
+++ b/Chapter9/Figures/fig-sigmoid.tex
-%%%------------------------------------------------------------------------------------------------------------
- \begin{tikzpicture}
-        \draw[->, line width=1pt](-1.2,0)--(1.2,0)node[left,below,font=\tiny]{$x$};
-        \draw[->, line width=1pt](0,-1.2)--(0,1.2)node[right,font=\tiny]{$y$};
-        \draw[dashed](-1.2,1)--(1.2,1);
-        \foreach \x in {-1,-0.5,0,0.5,1}{\draw(\x,0)--(\x,0.05)node[below,outer sep=2pt,font=\tiny]at(\x,0){
-            \pgfmathparse{(\x)*5}
-            \pgfmathresult};}
-        \foreach \y in {0.5,1.0}{\draw(0,\y)--(0.05,\y)node[left,outer sep=2pt,font=\tiny]at(0,\y){\y};}
-        \draw[color=red,domain=-1.2:1.2, line width=1pt]plot(\x,{1/(1+(exp(-5*\x)))});
-        \node[black,anchor=south] at (0,1.2) {\small $y = \frac{1}{1+e^{-x}}$};
-        \end{tikzpicture}
-%%%------------------------------------------------------------------------------------------------------------
--- a/Chapter9/Figures/fig-single-layer-of-neural-network-for-weather-prediction.tex
+++ b/Chapter9/Figures/fig-single-layer-of-neural-network-for-weather-prediction.tex
@@ -7,32 +7,32 @@
 \node [anchor=center,neuronnode] (neuron00) at (0,0) {};
 \node [anchor=center,neuronnode] (neuron01) at ([yshift=-3em]neuron00) {};
 \node [anchor=center,neuronnode] (neuron02) at ([yshift=-3em]neuron01) {};
-\node [anchor=east] (x0) at ([xshift=-6em]neuron00.west) {$x_0$};
+\node [anchor=east] (x0) at ([xshift=-6em]neuron00.west) {$x_1$};
-\node [anchor=east] (x1) at ([xshift=-6em]neuron01.west) {$x_1$};
+\node [anchor=east] (x1) at ([xshift=-6em]neuron01.west) {$x_2$};
-\node [anchor=east] (x2) at ([xshift=-6em]neuron02.west) {$b$};
+\node [anchor=east] (x2) at ([xshift=-6em]neuron02.west) {${\vectorn{\emph{b}}}$};
-\node [anchor=west] (y0) at ([xshift=4em]neuron00.east) {$y_0$};
+\node [anchor=west] (y0) at ([xshift=4em]neuron00.east) {$y_1$};
-\draw [->] (x0.east) -- (neuron00.180) node [pos=0.1,above] {\tiny{$w_{00}$}};
+\draw [->] (x0.east) -- (neuron00.180) node [pos=0.1,above] {\tiny{$w_{11}$}};
-\draw [->] (x1.east) -- (neuron00.200) node [pos=0.1,above] {\tiny{$w_{10}$}};
+\draw [->] (x1.east) -- (neuron00.200) node [pos=0.1,above] {\tiny{$w_{21}$}};
-\draw [->] (x2.east) -- (neuron00.220) node [pos=0.05,above,yshift=0.3em] {\tiny{$b_{0}$}};
+\draw [->] (x2.east) -- (neuron00.220) node [pos=0.05,above,yshift=0.3em] {\tiny{$b_{1}$}};
 \draw [->] (neuron00.east) -- (y0.west);
-\node [anchor=west] (y1) at ([xshift=4em]neuron01.east) {$y_1$};
+\node [anchor=west] (y1) at ([xshift=4em]neuron01.east) {$y_2$};
-\draw [->] (x0.east) -- (neuron01.160) node [pos=0.4,above] {\tiny{$w_{01}$}};
+\draw [->] (x0.east) -- (neuron01.160) node [pos=0.4,above] {\tiny{$w_{12}$}};
-\draw [->] (x1.east) -- (neuron01.180) node [pos=0.35,above,yshift=-0.2em] {\tiny{$w_{11}$}};
+\draw [->] (x1.east) -- (neuron01.180) node [pos=0.35,above,yshift=-0.2em] {\tiny{$w_{22}$}};
-\draw [->] (x2.east) -- (neuron01.200) node [pos=0.3,below,yshift=0.2em] {\tiny{$b_{1}$}};
+\draw [->] (x2.east) -- (neuron01.200) node [pos=0.3,below,yshift=0.2em] {\tiny{$b_{2}$}};
 \draw [->] (neuron01.east) -- (y1.west);
-\node [anchor=west] (y2) at ([xshift=4em]neuron02.east) {$y_2$};
+\node [anchor=west] (y2) at ([xshift=4em]neuron02.east) {$y_3$};
-\draw [->] (x0.east) -- (neuron02.140) node [pos=0.1,below,yshift=-0.2em] {\tiny{$w_{02}$}};
+\draw [->] (x0.east) -- (neuron02.140) node [pos=0.1,below,yshift=-0.2em] {\tiny{$w_{13}$}};
-\draw [->] (x1.east) -- (neuron02.160) node [pos=0.1,below] {\tiny{$w_{12}$}};
+\draw [->] (x1.east) -- (neuron02.160) node [pos=0.1,below] {\tiny{$w_{23}$}};
-\draw [->] (x2.east) -- (neuron02.180) node [pos=0.3,below] {\tiny{$b_{2}$}};
+\draw [->] (x2.east) -- (neuron02.180) node [pos=0.3,below] {\tiny{$b_{3}$}};
 \draw [->] (neuron02.east) -- (y2.west);
-\node [anchor=east,align=left] (inputlabel) at ([xshift=-0.1em]x1.west) {\scriptsize{输入向量}:\\\small{$\textbf{x}=(x_0,x_1)$}};
+\node [anchor=east,align=left] (inputlabel) at ([xshift=-0.1em]x1.west) {\scriptsize{输入向量}:\\\small{${\vectorn{\emph{x}}}=(x_1,x_2)$}};
-\node [anchor=west,align=left] (outputlabel) at ([xshift=0.1em]y1.east) {\scriptsize{输出向量}:\\\small{$\textbf{y}=(y_0,y_1,y_2)$}};
+\node [anchor=west,align=left] (outputlabel) at ([xshift=0.1em]y1.east) {\scriptsize{输出向量}:\\\small{${\vectorn{\emph{y}}}=(y_1,y_2,y_3)$}};
 \begin{pgfonlayer}{background}

--- a/Chapter9/Figures/fig-softplus.tex
+++ b/Chapter9/Figures/fig-softplus.tex
-%%%------------------------------------------------------------------------------------------------------------
-\begin{tikzpicture}
-\draw[->, line width=1pt](-1.2,0)--(1.2,0)node[left,below,font=\tiny]{$x$};
-\draw[->, line width=1pt](0,-1.2)--(0,1.2)node[right,font=\tiny]{$y$};
-\foreach \x in {-1.0,-0.5,0.0,0.5,1.0}{\draw(\x,0)--(\x,0.05)node[below,outer sep=2pt,font=\tiny]at(\x,0){\x};}
- \foreach \y in {1.0,0.5}{\draw(0,\y)--(0.05,\y)node[left,outer sep=2pt,font=\tiny]at(0,\y){\y};}
-\draw[color=red ,domain=-1.2:1, line width=1pt]plot(\x,{ln(1+(exp(\x))});
-\node[black,anchor=south] at (0,1.2) {\small $y = ln(1+e^x)$};
-\end{tikzpicture}
-%%%------------------------------------------------------------------------------------------------------------
--- a/Chapter9/Figures/fig-tanh.tex
+++ b/Chapter9/Figures/fig-tanh.tex
-%%%------------------------------------------------------------------------------------------------------------
-\begin{tikzpicture}
-        \draw[->, line width=1pt](-1.2,0)--(1.2,0)node[left,below,font=\tiny]{$x$};
-        \draw[->, line width=1pt](0,-1.2)--(0,1.2)node[right,font=\tiny]{$y$};
-        \draw[dashed](-1.2,1)--(1.2,1);
-        \draw[dashed](-1.2,-1)--(1.2,-1);
-        \foreach \x in {-1.0,-0.5,0.0,0.5,1.0}{\draw(\x,0)--(\x,0.05)node[below,outer sep=2pt,font=\tiny]at(\x,0){\x};}
-        \foreach \y in {0.5,1.0}{\draw(0,\y)--(0.05,\y)node[left,outer sep=2pt,font=\tiny]at(0,\y){\y};}
-        \draw[color=red ,domain=-1.2:1.2, line width=1pt]plot(\x,{tanh(\x)});
-        \node[black,anchor=south] at (0,1.2) {\small $y = \frac{e^{x}-e^{-x}}{e^{x}+e^{-x}}$};
-        \end{tikzpicture}
-%%%------------------------------------------------------------------------------------------------------------
--- a/Chapter9/Figures/fig-tensor-mul.tex
+++ b/Chapter9/Figures/fig-tensor-mul.tex
@@ -49,7 +49,7 @@
    \node [fill=red!20,inner sep=0pt,minimum height=0.49cm,minimum width=0.49cm] at (\x,\y) {$\number\value{mycount4}$};
    \addtocounter{mycount4}{1};
  }
-\node [anchor=north] (xlabel) at (0,-1.2) {$\textbf{x}$};
+\node [anchor=north] (xlabel) at (0,-1.2) {$\vectorn{\emph{x}}$};
 }
 \node [anchor=south west] (label14) at (-1.3,0.9) {\footnotesize{\ding{175}}};
 \end{scope}
@@ -65,7 +65,7 @@
 \node [fill=black!20,inner sep=0pt,minimum height=0.49cm,minimum width=0.49cm] at (0.25,0.25) {\small{$-1$}};
 \node [fill=black!20,inner sep=0pt,minimum height=0.49cm,minimum width=0.49cm] at (0.25,-0.25) {$1$};
 \node [fill=black!20,inner sep=0pt,minimum height=0.49cm,minimum width=0.49cm] at (0.25,-0.75) {$0$};
-\node [anchor=north] (xlabel) at (0,-1.2) {$\textbf{w}$};
+\node [anchor=north] (xlabel) at (0,-1.2) {$\vectorn{\emph{W}}$};
 }
 {\draw [->,thick,dashed] (-1.5in+2em+1.5em,-0.3) .. controls +(east:2) and +(west:1) .. (-0.55,0.8) node [pos=0.5,left] {\scriptsize{\textbf{矩阵乘}}};}
@@ -129,7 +129,7 @@
 }
 \node [anchor=south west] (label24) at (-0.8,0.9) {\footnotesize{\ding{175}}};
 {
-\node [anchor=north] (xlabel) at (0,-1.2) {$\textbf{x} \cdot \textbf{w}$};
+\node [anchor=north] (xlabel) at (0,-1.2) {${\vectorn{\emph{x}}} \cdot {\vectorn{\emph{W}}}$};
 \node [anchor=center] (elabel) at (-0.7in,0) {\Huge{$\textbf{=}$}};
 }
 \end{scope}

--- a/Chapter9/Figures/fig-translation.tex
+++ b/Chapter9/Figures/fig-translation.tex
@@ -19,7 +19,7 @@
 \node[above] at ([xshift=2em,yshift=1em]a2.west){1};
 \node[below] at ([xshift=-0.5em,yshift=0em]a2.west){-1};
 \node [anchor=west] (x) at ([xshift=-3.5cm,yshift=2em]a2.north) {\scriptsize{
-    $\mathbf{w}=\begin{pmatrix}
+    ${\vectorn{\emph{W}}}=\begin{pmatrix}
    1&0&0\\
    0&-1&0\\
    0&0&1
@@ -44,7 +44,7 @@
 \node [anchor=west] (x) at ([xshift=-4cm,yshift=2em]a3.north) {\scriptsize{
-    $\mathbf{b}=\begin{pmatrix}
+    ${\vectorn{\emph{b}}}=\begin{pmatrix}
    0.5&0&0\\
    0&0&0\\
    0&0&0

--- a/Chapter9/Figures/fig-two-layer-neural-network.tex
+++ b/Chapter9/Figures/fig-two-layer-neural-network.tex
@@ -11,7 +11,7 @@
 \draw [-,ublue] (n10.west) -- (n10.east);
 \draw [-,ublue] (n11.west) -- (n11.east);
 \node [anchor=north] (x1) at ([yshift=-4em]n11.south) {$x_1$};
-\node [anchor=north] (b) at ([yshift=-4em]n10.south) {$b$};
+\node [anchor=north] (b) at ([yshift=-4em]n10.south) {$\vectorn{\emph{b}}$};
 {
 \draw [->,thick] (b.north) -- ([yshift=-0.1em]n10.south);
 \draw [->,thick] (x1.north) -- ([yshift=-0.1em]n10.290);
@@ -35,11 +35,11 @@
 %% 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{$w_1$}};}
+{\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{$w'_1$}};}
+{\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{$w'_2$}};}
+{\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=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{$w_2$}};}
+{\node [anchor=center,rotate=90,fill=white,inner sep=1pt] (w1) at ([yshift=2em,xshift=0.5em]x1.north) {\scriptsize{$w_{12}$}};}
 %% sigmoid box
 \begin{scope}
@@ -47,7 +47,7 @@
 \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=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{$s_2=x_1 \cdot w_2 + b$}};
+\node [anchor=west,inner sep=2pt] (flabel3) at (slabel.east) {\footnotesize{$s_2=x_1 \cdot w_{12} + b$}};
 \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}

--- a/Chapter9/Figures/fig-w1.tex
+++ b/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{$w_1=100$}\\[-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{$w'_1=0.9$}}};}
+{\node [anchor=north west,align=left] (wblabel) at (-1.8,2) {{\scriptsize{$w_{21}=0.9$}}};}
 {\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{$w'_1=0.7$}}};}
+{\node [anchor=north west,align=left] (wblabel) at (-1.8,2) {{\scriptsize{$w_{21}=0.7$}}};}
 {\draw [-,very thick,ublue,rounded corners=0.1em] (-1.5,0) -- (0.5,0) -- (0.5,0.7) -- (1.5,0.7);}
 \end{scope}

--- a/Chapter9/Figures/fig-w2.tex
+++ b/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{$w'_1=0.7$}}};}
+{\node [anchor=north west,align=left] (wblabel) at (-1.8,2) {{\scriptsize{$w_{21}=0.7$}}};}
 {\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{$w_2=100$}}\\[-0ex] {\scriptsize{\ $b_2=-6$}}\\[-0ex] {\scriptsize{\ $w'_2=0.7$}}};}
+{\node [anchor=north west,align=left] (wblabel) at (-1.8,2) {{\scriptsize{$w_{12}=100$}}\\[-0ex] {\scriptsize{\ $b_2=-6$}}\\[-0ex] {\scriptsize{\ $w_{22}=0.7$}}};}
 {\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{$w_2=100$}\\[-0ex] \scriptsize{\ $b_2=-6$}\\[-0ex] {\scriptsize{\ $w'_2=-0.7$}}};}
+{\node [anchor=north west,align=left] (wblabel) at (-1.8,2) {\scriptsize{$w_{12}=100$}\\[-0ex] \scriptsize{\ $b_2=-6$}\\[-0ex] {\scriptsize{\ $w_{22}=-0.7$}}};}
 {\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}

--- a/Chapter9/Figures/fig-weather-forward.tex
+++ b/Chapter9/Figures/fig-weather-forward.tex
@@ -3,46 +3,46 @@
 \node [anchor=west,minimum width=1.5em,minimum height=1.5em] (part1) at (0,0) {\footnotesize{$y$}};
 \node [anchor=north,minimum width=1.5em,minimum height=1.5em] (part1-2) at ([xshift=-1.2em,yshift=-0.3em]part1.south) {\scriptsize {$1\times1$}};
-\node [anchor=north,draw,minimum width=4.0em,minimum height=1.5em,fill=orange!20] (part2) at ([yshift=-1.5em]part1.south) {\footnotesize {$\rm{Sigmoid}$}};
+\node [anchor=north,draw,minimum width=4.0em,minimum height=1.5em,rounded corners] (part2) at ([yshift=-1.5em]part1.south) {\footnotesize {$\rm{Sigmoid}$}};
 \draw [-,thick](part1.south)--(part2.north);
 \node [anchor=north,minimum width=1.5em,minimum height=1.5em] (part2-2) at ([xshift=-1.2em,yshift=-0.3em]part2.south) {\scriptsize {$1\times1$}};
-\node [anchor=north,draw,minimum width=4.0em,minimum height=1.5em,fill=green!20] (part3) at ([yshift=-1.5em]part2.south) {\footnotesize {$\rm{ADD}$}};
+\node [anchor=north,draw,minimum width=4.0em,minimum height=1.5em,rounded corners] (part3) at ([yshift=-1.5em]part2.south) {\footnotesize {$\rm{ADD}$}};
 \draw [-,thick](part2.south)--(part3.north);
 \node [anchor=north,minimum width=1.5em,minimum height=1.5em] (part3-2) at ([xshift=-1.2em,yshift=-0.3em]part3.south) {\scriptsize {$1\times1$}};
-\node [anchor=north,draw,minimum width=4.0em,minimum height=1.5em,fill=blue!20] (part4) at ([yshift=-1.5em]part3.south) {\footnotesize {$\rm{MUL}$}};
+\node [anchor=north,draw,minimum width=4.0em,minimum height=1.5em,rounded corners] (part4) at ([yshift=-1.5em]part3.south) {\footnotesize {$\rm{MUL}$}};
 \draw [-,thick](part3.south)--(part4.north);
 \node [anchor=north,minimum width=1.5em,minimum height=1.5em] (part4-2) at ([xshift=-1.2em,yshift=-0.2em]part4.south) {\scriptsize {$1\times 2$}};
-\node [anchor=north,minimum width=4.0em,minimum height=1.5em] (part5) at ([yshift=-1.4em]part4.south) {\footnotesize {$\mathbf a$}};
+\node [anchor=north,minimum width=4.0em,minimum height=1.5em] (part5) at ([yshift=-1.4em]part4.south) {\footnotesize {${\vectorn{\emph{a}}}$}};
 \draw [-,thick](part4.south)--([yshift=-0.1em]part5.north);
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\node [anchor=west,minimum width=2.0em,minimum height=1.5em,draw,fill=red!20] (part5-3) at ([xshift=0.0em,yshift=0.1em]part5.east) {\footnotesize {$\mathbf w^{[2]}$}};
+\node [anchor=west,minimum width=2.0em,minimum height=1.5em] (part5-3) at ([xshift=0.0em,yshift=0.1em]part5.east) {\footnotesize {${\vectorn{\emph{W}}}^{[2]}$}};
-\node [anchor=west,minimum width=2.0em,minimum height=1.5em,draw,fill=orange!40] (part5-4) at ([xshift=2.0em,yshift=0.0em]part5-3.east) {\footnotesize {$ b^{[2]}$}};
+\node [anchor=west,minimum width=2.0em,minimum height=1.5em] (part5-4) at ([xshift=2.0em,yshift=0.0em]part5-3.east) {\footnotesize {$ b^{[2]}$}};
 \draw[-,thick](part4.south)--(part5-3.north);
 \draw[-,thick](part3.south)--(part5-4.north);
 \node [anchor=south,minimum width=1.5em,minimum height=1.5em] (part5-3-1) at ([xshift=1.1em,yshift=-0.45em]part5-3.north) {\scriptsize {$1\times 2$}};
 \node [anchor=south,minimum width=1.5em,minimum height=1.5em] (part5-4-1) at ([xshift=1.1em,yshift=-0.45em]part5-4.north) {\scriptsize {$1\times1$}};
 %%%%%%%%%%%%%%%%%%%%%%%%%%
 \node [anchor=north,minimum width=1.5em,minimum height=1.5em] (part5-2) at ([xshift=-1.2em,yshift=-0.2em]part5.south) {\scriptsize {$1\times 2$}};
-\node [anchor=north,draw,minimum width=4.0em,minimum height=1.5em,fill=yellow!20] (part6) at ([yshift=-1.4em]part5.south) {\footnotesize {$\rm{Tanh}$}};
+\node [anchor=north,draw,minimum width=4.0em,minimum height=1.5em,rounded corners] (part6) at ([yshift=-1.4em]part5.south) {\footnotesize {$\rm{Tanh}$}};
 \draw [-,thick]([yshift=0.1em]part5.south)--(part6.north);
 \node [anchor=north,minimum width=1.5em,minimum height=1.5em] (part6-2) at ([xshift=-1.2em,yshift=-0.3em]part6.south) {\scriptsize {$1\times 2$}};
-\node [anchor=north,draw,minimum width=4.0em,minimum height=1.5em,fill=green!20] (part7) at ([yshift=-1.5em]part6.south) {\footnotesize {$\rm{ADD}$}};
+\node [anchor=north,draw,minimum width=4.0em,minimum height=1.5em,rounded corners] (part7) at ([yshift=-1.5em]part6.south) {\footnotesize {$\rm{ADD}$}};
 \draw [-,thick](part6.south)--(part7.north);
 \node [anchor=north,minimum width=1.5em,minimum height=1.5em] (part7-2) at ([xshift=-1.2em,yshift=-0.3em]part7.south) {\scriptsize {$1\times 2$}};
-\node [anchor=north,draw,minimum width=4.0em,minimum height=1.5em,fill=blue!20] (part8) at ([yshift=-1.5em]part7.south) {\footnotesize {$\rm{MUL}$}};
+\node [anchor=north,draw,minimum width=4.0em,minimum height=1.5em,rounded corners] (part8) at ([yshift=-1.5em]part7.south) {\footnotesize {$\rm{MUL}$}};
 \draw [-,thick](part7.south)--(part8.north);
 \node [anchor=north,minimum width=1.5em,minimum height=1.5em] (part8-2) at ([xshift=-1.2em,yshift=-0.2em]part8.south) {\scriptsize{$1\times 2$}};
-\node [anchor=north,minimum width=4.0em,minimum height=1.5em] (part9) at ([yshift=-1.4em]part8.south) {\footnotesize {$\mathbf x$}};
+\node [anchor=north,minimum width=4.0em,minimum height=1.5em] (part9) at ([yshift=-1.4em]part8.south) {\footnotesize {${\vectorn{\emph{x}}}$}};
 \draw [-,thick](part8.south)--([yshift=-0.1em]part9.north);
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\node [anchor=west,minimum width=2.0em,minimum height=1.5em,draw,fill=red!20] (part9-3) at ([xshift=0.0em,yshift=0.1em]part9.east) {\footnotesize {$\mathbf w^{[1]}$}};
+\node [anchor=west,minimum width=2.0em,minimum height=1.5em] (part9-3) at ([xshift=0.0em,yshift=0.1em]part9.east) {\footnotesize {${\vectorn{\emph{W}}}^{[1]}$}};
-\node [anchor=west,minimum width=2.0em,minimum height=1.5em,draw,fill=orange!40] (part9-4) at ([xshift=2.0em,yshift=0.0em]part9-3.east) {\footnotesize {$\mathbf b^{[1]}$}};
+\node [anchor=west,minimum width=2.0em,minimum height=1.5em] (part9-4) at ([xshift=2.0em,yshift=0.0em]part9-3.east) {\footnotesize {${\vectorn{\emph{b}}}^{[1]}$}};
 \draw[-,thick](part8.south)--(part9-3.north);
 \draw[-,thick](part7.south)--(part9-4.north);
 \node [anchor=south,minimum width=1.5em,minimum height=1.5em] (part9-3-1) at ([xshift=1.1em,yshift=-0.45em]part9-3.north) {\scriptsize {$3\times 2$}};
@@ -52,6 +52,3 @@
 \end{tikzpicture}
 %%------------------------------------------------------------------------------------------------------------
--- a/Chapter9/Figures/fig-weight.tex
+++ b/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{$w_1=1$}\\[-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{$w_1=10$}}\\[-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{$w_1=100$}}\\[-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}