<html><head><meta name="color-scheme" content="light dark"></head><body><pre style="word-wrap: break-word; white-space: pre-wrap;">
\begin{tikzpicture}
\def\neuronsep{1.5}
\def\nodespace{1}
\def\picturespace{0.8}

\tikzstyle{neuronnode} = [minimum size=1.8em,circle,draw,very thick,ublue,inner sep=0pt, fill=white,align=center]

%standard
\node [neuronnode] (neuron_b) at (0,0) {\scriptsize{$b^{l}$}};
\node [neuronnode] (neuron_y3) at (0,-1*\neuronsep) {\scriptsize{$x_{3}^{l}$}};
\node [neuronnode] (neuron_y2) at (0,-2*\neuronsep) {\scriptsize{$x_{2}^{l}$}};
\node [neuronnode] (neuron_y1) at (0,-3*\neuronsep) {\scriptsize{$x_{1}^{l}$}};
\node [neuronnode] (neuron_z) at (1.2 * \nodespace,-1.5 * \neuronsep) {\scriptsize{$z_{i}^{l+1}$}};
\node [neuronnode] (neuron_y') at (2.4 * \nodespace,-1.5 * \neuronsep) {\scriptsize{$x_{i}^{l+1}$}};

\node [anchor=north,ublue] (standard) at ([yshift=-4em]neuron_z.south) {\scriptsize{标准网络}};
\node [ublue] (standard) at ([xshift=-1em]neuron_z.west) {\scriptsize{$\mathbf{w}_{i}^{l}$}};
\node [ublue] (standard) at ([xshift=0.6em,yshift=0.3em]neuron_z.east) {\scriptsize{$f$}};

\draw [-&gt;,line width=0.3mm] (neuron_b.east) -- (neuron_z.west);
\draw [-&gt;,line width=0.3mm] (neuron_y3.east) -- (neuron_z.west);
\draw [-&gt;,line width=0.3mm] (neuron_y2.east) -- (neuron_z.west);
\draw [-&gt;,line width=0.3mm] (neuron_y1.east) -- (neuron_z.west);
\draw [-&gt;,line width=0.3mm] (neuron_z.east) -- (neuron_y'.west);

%dropout
\node [neuronnode] (drop_neuron_b) at (5*\nodespace,0) {\scriptsize{$b^{l}$}};
\node [neuronnode] (drop_neuron_y3') at (5*\nodespace,-1*\neuronsep) {\scriptsize{$\tilde{x}_{3}^{l}$}};
\node [neuronnode] (drop_neuron_y2') at (5*\nodespace,-2*\neuronsep) {\scriptsize{$\tilde{x}_{2}^{l}$}};
\node [neuronnode] (drop_neuron_y1') at (5*\nodespace,-3*\neuronsep) {\scriptsize{$\tilde{x}_{1}^{l}$}};
\node [neuronnode] (drop_neuron_z) at (6.2 * \nodespace,-1.5 * \neuronsep) {\scriptsize{$z_{i}^{l+1}$}};
\node [neuronnode] (drop_neuron_y') at (7.4 * \nodespace,-1.5 * \neuronsep) {\scriptsize{$x_{i}^{l+1}$}};

\node [neuronnode] (drop_neuron_y3) at (3.8*\nodespace,-1*\neuronsep) {\scriptsize{$x_{3}^{l}$}};
\node [neuronnode] (drop_neuron_y2) at (3.8*\nodespace,-2*\neuronsep) {\scriptsize{$x_{2}^{l}$}};
\node [neuronnode] (drop_neuron_y1) at (3.8*\nodespace,-3*\neuronsep) {\scriptsize{$x_{1}^{l}$}};

\node [neuronnode] (drop_neuron_r3) at (4.4*\nodespace,-0.5*\neuronsep) {\scriptsize{$r_{3}^{l}$}};
\node [neuronnode] (drop_neuron_r2) at (4.4*\nodespace,-1.5*\neuronsep) {\scriptsize{$r_{2}^{l}$}};
\node [neuronnode] (drop_neuron_r1) at (4.4*\nodespace,-2.5*\neuronsep) {\scriptsize{$r_{1}^{l}$}};

\node [anchor=north,ublue] (standard) at ([xshift=2em,yshift=-4em]drop_neuron_z.south) {\scriptsize{应用Dropout后的网络}};
\node [ublue] (standard) at ([xshift=-1em]drop_neuron_z.west) {\scriptsize{$\mathbf{w}_{i}^{l}$}};
\node [ublue] (standard) at ([xshift=0.6em,yshift=0.3em]drop_neuron_z.east) {\scriptsize{$f$}};
%structure
\draw [-&gt;,line width=0.3mm] (drop_neuron_b.east) -- (drop_neuron_z.west);
\draw [-&gt;,line width=0.3mm] (drop_neuron_y3'.east) -- (drop_neuron_z.west);
\draw [-&gt;,line width=0.3mm] (drop_neuron_y2'.east) -- (drop_neuron_z.west);
\draw [-&gt;,line width=0.3mm] (drop_neuron_y1'.east) -- (drop_neuron_z.west);
\draw [-&gt;,line width=0.3mm] (drop_neuron_z.east) -- (drop_neuron_y'.west);
%r
\draw [-&gt;,line width=0.3mm] (drop_neuron_y3.east) -- (drop_neuron_y3'.west);
\draw [-&gt;,line width=0.3mm] (drop_neuron_y2.east) -- (drop_neuron_y2'.west);
\draw [-&gt;,line width=0.3mm] (drop_neuron_y1.east) -- (drop_neuron_y1'.west);

\draw [-,line width=0.3mm] (drop_neuron_r3.south) -- ([yshift=-1em]drop_neuron_r3.south);
\draw [-,line width=0.3mm] (drop_neuron_r2.south) -- ([yshift=-1em]drop_neuron_r2.south);
\draw [-,line width=0.3mm] (drop_neuron_r1.south) -- ([yshift=-1em]drop_neuron_r1.south);

%equ
\node [anchor=west,inner sep = 2pt] (line1) at (9*\nodespace,0) {未应用Dropout：};
\node [anchor=north west,inner sep = 2pt] (line2) at (line1.south west) {$z_{i}^{l+1}=\mathbf{w}^{l} \mathbf{x}^{l} + b^{l}$};
\node [anchor=north west,inner sep = 2pt] (line3) at (line2.south west) {$x_{i}^{l+1}=f\left(z_{i}^{l+1}\right)$};
\node [anchor=north west,inner sep = 2pt] (line4) at (line3.south west) {应用Dropout：};
\node [anchor=north west,inner sep = 2pt] (line5) at (line4.south west) {$r_{j}^{l} \sim$ Bernoulli $(1-p)$};
\node [anchor=north west,inner sep = 2pt] (line6) at (line5.south west) {$\tilde{\mathbf{x}}=\mathbf{r} * \mathbf{x}$};
\node [anchor=north west,inner sep = 2pt] (line7) at (line6.south west) {$z_{i}^{l+1}=\mathbf{w}^{l} \widetilde{\mathbf{x}}^{l} + b^{l}$};
\node [anchor=north west,inner sep = 2pt] (line8) at (line7.south west) {$x_{i}^{l+1}=f\left(z_{i}^{l+1}\right)$};

\end{tikzpicture}</pre></body></html>