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如何在节点内绘制函数图？

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如何在节点内绘制函数图？

我想要可视化神经网络的架构。我目前的草稿是

在此处输入图片描述

现在我想用 -6, 6 中的标准逻辑函数图替换所有“s”：

$$f(x) = \frac{1}{1 + e^{-x}}$$

我怎样才能做到这一点？

这是一个与我所寻找的类似的例子：

当前代码

\documentclass{article}
\usepackage[pdftex,active,tightpage]{preview}
\setlength\PreviewBorder{2mm}

\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{shapes, calc, shapes, arrows, snakes}

\tikzstyle{input}=[draw,fill=red!50,circle,minimum size=20pt,inner sep=0pt]
\tikzstyle{hidden}=[draw,fill=green!50,circle,minimum size=20pt,inner sep=0pt]
\tikzstyle{output}=[draw,fill=white,circle,minimum size=20pt,inner sep=0pt]
\tikzstyle{bias}=[draw,dashed,fill=gray!50,circle,minimum size=20pt,inner sep=0pt]
\tikzstyle{layer}=[fill=gray!70]

\tikzstyle{stateTransition}=[->, thick]
\DeclareMathOperator{\xor}{XOR}
\newcommand{\width}{0.2}
\begin{document}
\begin{preview}
\begin{tikzpicture}[scale=2]
    \fill[layer] (-\width,-1.7) rectangle (\width,1.7);
    \fill[layer] (1+-\width,-1.7) rectangle (1+\width,1.7);
    \fill[layer] (2+-\width,-1.7) rectangle (2+\width,1.7);
    \fill[layer] (3+-\width,-1.7) rectangle (3+\width,1.7);
    \node (l1label) at  (0, -1.9) {3};
    \node (l2label) at  (1, -1.9) {64};
    \node (l3label) at  (2, -1.9) {64};
    \node (l4label) at  (3, -1.9) {1};
    \node (r)[input,fill=red]   at (0, 1) {$s$};
    \node (g)[input,fill=green] at (0, 0) {$s$};
    \node (b)[input,fill=blue]  at (0,-1) {$s$};

    \node (h11)[hidden] at (1, 1.5) {$s$};
    \node (h12)[hidden] at (1, 0.5) {$s$};
    \node[circle, inner sep=0] (h13) at (1,-0.5) {\vdots};
    \node (h14)[hidden] at (1,-1.5) {$s$};
    \node (h21)[hidden] at (2, 1.5) {$s$};
    \node (h22)[hidden] at (2, 0.5) {$s$};
    \node[circle, inner sep=0] (h23) at (2,-0.5) {\vdots};
    \node (h24)[hidden] at (2,-1.5) {$s$};

    \node (o1)[output] at (3,0) {$s$};

    \draw[stateTransition] (r) -- (h11) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (r) -- (h12) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (r) -- (h13) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (r) -- (h14) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (g) -- (h11) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (g) -- (h12) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (g) -- (h13) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (g) -- (h14) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (b) -- (h11) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (b) -- (h12) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (b) -- (h13) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (b) -- (h11) node [midway,above=-0.06cm] {};

    \draw[stateTransition] (h11) -- (h21) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (h11) -- (h22) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (h11) -- (h23) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (h11) -- (h24) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (h12) -- (h21) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (h12) -- (h22) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (h12) -- (h23) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (h12) -- (h24) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (h13) -- (h21) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (h13) -- (h22) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (h13) -- (h23) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (h13) -- (h24) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (h14) -- (h21) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (h14) -- (h22) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (h14) -- (h23) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (h14) -- (h21) node [midway,above=-0.06cm] {};

    \draw[stateTransition] (h21) -- (o1) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (h22) -- (o1) node [midway,above=-0.10cm] {};
    \draw[stateTransition] (h23) -- (o1) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (h24) -- (o1) node [midway,above=-0.06cm] {};

    \draw [
    thick,
    decoration={
        brace,
        mirror,
        raise=0.5cm
    },
    decorate
] (1+-\width, -1.8) -- (2+\width, -1.8)
node [pos=0.5,anchor=north,yshift=-0.55cm] {50\% dropout};
\end{tikzpicture}
\end{preview}
\end{document}

答案1

对于分布，您可以使用path picture键，但请记住，该函数会针对每个节点反复绘制。box如果绘制次数过多，您可能需要绘制一次并将其保存到 a 中以节省一些时间。

对于 vdot，您可以稍微提高一点，但我真的建议您不要使用这种表示法，因为它不会产生表示这里有未定义节点的相同效果。它只会在路径中放置另一个带有奇怪标签的节点。

\documentclass[tikz]{standalone}
\usetikzlibrary{shapes, calc, shapes, arrows, snakes}
\tikzset{dist/.style={path picture= {
    \begin{scope}[x=1pt,y=10pt]
      \draw plot[domain=-6:6] (\x,{1/(1 + exp(-\x))-0.5});
    \end{scope}
    }
  }
}
\tikzstyle{input}=[draw,fill=red!50,circle,minimum size=20pt,inner sep=0pt]
\tikzstyle{hidden}=[draw,fill=green!50,circle,minimum size=20pt,inner sep=0pt,dist]
\tikzstyle{output}=[draw,fill=white,circle,minimum size=20pt,inner sep=0pt]
\tikzstyle{bias}=[draw,dashed,fill=gray!50,circle,minimum size=20pt,inner sep=0pt]
\tikzstyle{layer}=[fill=gray!70]

\tikzstyle{stateTransition}=[->, thick]

\newcommand{\width}{0.2}
\begin{document}

\begin{tikzpicture}[scale=2]
    \fill[layer] (-\width,-1.7) rectangle (\width,1.7);
    \fill[layer] (1+-\width,-1.7) rectangle (1+\width,1.7);
    \fill[layer] (2+-\width,-1.7) rectangle (2+\width,1.7);
    \fill[layer] (3+-\width,-1.7) rectangle (3+\width,1.7);
    \node (l1label) at  (0, -1.9) {3};
    \node (l2label) at  (1, -1.9) {64};
    \node (l3label) at  (2, -1.9) {64};
    \node (l4label) at  (3, -1.9) {1};
    \node (r)[input,fill=red]   at (0, 1) {$s$};
    \node (g)[input,fill=green] at (0, 0) {$s$};
    \node (b)[input,fill=blue]  at (0,-1) {$s$};

    \node (h11)[hidden] at (1, 1.5) {};
    \node (h12)[hidden] at (1, 0.5) {};
    \node[circle,inner sep=0] (h13) at (1,-0.5) {\raisebox{5pt}{$\vdots$}};
    \node (h14)[hidden] at (1,-1.5) {};
    \node (h21)[hidden] at (2, 1.5) {};
    \node (h22)[hidden] at (2, 0.5) {};
    \node (h23) at (2,-0.5) {\vdots};
    \node (h24)[hidden] at (2,-1.5) {};

    \node (o1)[output] at (3,0) {$s$};

    \draw[stateTransition] (r) -- (h11) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (r) -- (h12) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (r) -- (h13) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (r) -- (h14) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (g) -- (h11) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (g) -- (h12) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (g) -- (h13) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (g) -- (h14) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (b) -- (h11) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (b) -- (h12) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (b) -- (h13) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (b) -- (h11) node [midway,above=-0.06cm] {};

    \draw[stateTransition] (h11) -- (h21) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (h11) -- (h22) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (h11) -- (h23) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (h11) -- (h24) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (h12) -- (h21) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (h12) -- (h22) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (h12) -- (h23) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (h12) -- (h24) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (h13) -- (h21) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (h13) -- (h22) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (h13) -- (h23) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (h13) -- (h24) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (h14) -- (h21) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (h14) -- (h22) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (h14) -- (h23) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (h14) -- (h21) node [midway,above=-0.06cm] {};

    \draw[stateTransition] (h21) -- (o1) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (h22) -- (o1) node [midway,above=-0.10cm] {};
    \draw[stateTransition] (h23) -- (o1) node [midway,above=-0.06cm] {};
    \draw[stateTransition] (h24) -- (o1) node [midway,above=-0.06cm] {};

    \draw [
    thick,
    decoration={
        brace,
        mirror,
        raise=0.5cm
    },
    decorate
] (1+-\width, -1.8) -- (2+\width, -1.8)
node [pos=0.5,anchor=north,yshift=-0.55cm] {50\% dropout};
\end{tikzpicture}
\end{document}

在此处输入图片描述

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