latex学习笔记——tikz画图 激活函数图像_latex画函数图像

• （1）latex画图需要加入宏包

%画图
\usepackage{pgfplots}
\usepackage{tikz}

• （2）带坐标轴代码「sigmold函数为示例」，可直接当图片/表格插入.tex文档中
• 

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%sigmold
\begin{tikzpicture}[global scale = 0.5]    //[global scale = 0.5]为整体缩放
    \begin{axis}[        //坐标轴属性设置
        axis lines=middle,
        samples=200,         //切分格大小
%       grid,                
        thick,
        domain=-8:8,        //函数范围
        legend pos=outer north east,
        smooth,
    ]
    \addplot+[no marks]{{1/(1+(e^(-1*(\x))))}};    //画函数[]中为属性设置，{}中为函数
    \end{axis}
\end{tikzpicture}

• （3）整体缩放「在（2）之前加上描述」

\tikzset{global scale/.style={
    scale=#1,
    every node/.append style={scale=#1}
  }
}

• （4）sigmold函数生成图

• （5）其他激活函数代码和对应图像

5.1 ReLu

%ReLu
\begin{tikzpicture}[global scale = 0.5]
     \begin{axis}[
    axis lines=middle,
    samples=200,
%    grid,
    thick,
    domain=-8:8,
    legend pos=outer north east,
    smooth,
    ]
    \addplot+[no marks]{max(\x,0)};
    \end{axis}
\end{tikzpicture}

5.2 ​​​​​​tanh

%tanh
\begin{tikzpicture}[global scale = 0.5]
     \begin{axis}[
    axis lines=middle,
    samples=200,
%    grid,
    thick,
    domain=-8:8,
    legend pos=outer north east,
    smooth,
    ]
    \addplot+[no marks]{((e^(1*(\x)))-(e^(-1*(\x))))/((e^(1*(\x)))+(e^(-1*(\x))))};
    \end{axis}
\end{tikzpicture}

5.3 SELU

%SELU
\begin{tikzpicture}[global scale = 0.5]
    \begin{axis}[
    axis lines=middle,
    samples=200,
%    grid,
    thick,
    domain=-8:8,
    legend pos=outer north east,
    smooth,
    ]
    \addplot[domain=-8:0,blue,thick,]         % 设置函数的定义域
     {1*(e^(1*(\x)))-1};                      % 输入显式函数
    \addplot[domain=0:8,blue,thick,]          % 设置函数的定义域
     {x};                                     % 输入显式函数 
  \end{axis}
\end{tikzpicture}

5.4 softmax

%softmax
\begin{tikzpicture}[global scale = 0.5]
    \begin{axis}[
    axis lines=middle,
    samples=200,
%    grid,
    thick,
    domain=-8:8,
    legend pos=outer north east,
    smooth,
    ]
    \addplot+[no marks]{((e^(0.1*(\x)))-(e^(-1*(\x))))/((e^(0.1*(\x)))+(e^(-1*(\x))))};
    \end{axis}
\end{tikzpicture}