想要通过添加激活函数来改善 ANN 的演示

想要通过添加激活函数来改善 ANN 的演示

嗯,实际上有两个问题我想解决,但我不知道是否应该写两篇文章。无论如何...

我有这个 ANN 的表示,并想包含动作函数,但我也不知道如何让它看起来更好的

            \documentclass{article}
            \usepackage{tikz}
            \begin{document}
            \pagestyle{empty}
            \def\layersep{1.5cm}
            \begin{tikzpicture}[
               shorten >=1pt,->,
               draw=black!50,
                node distance=\layersep,
                every pin edge/.style={<-,shorten <=1pt},
                neuron/.style={circle,fill=black!25,minimum size=17pt,inner sep=0pt},
                input neuron/.style={neuron, fill=green!50},
                output neuron/.style={neuron, fill=red!50},
                hidden neuron/.style={neuron, fill=blue!50},
                annot/.style={text width=4em, text centered}
            ]
                % Draw the input layer nodes
                \foreach \name / \y in {1,...,3}
                % This is the same as writing \foreach \name / \y in {1/1,2/2,3/3,4/4}
                    \node[input neuron, pin=left:Input \#\y] (I-\name) at (0,-\y) {};
                % set number of hidden layers
                \newcommand\Nhidden{2}
                % Draw the hidden layer nodes
                \foreach \N in {1,...,\Nhidden} {
                   \foreach \y in {1,...,12} {
                      \path[yshift=4cm]
                          node[hidden neuron] (H\N-\y) at (\N*\layersep,-\y cm) {};
                       }
                \node[annot,above of=H\N-1, node distance=1cm] (hl\N) {Hidden layer \N};
                }
                % Draw the output layer node
                \node[output neuron,pin={[pin edge={->}]right:Output}, right of=H\Nhidden-6] (O) {};

                % Connect every node in the input layer with every node in the
                % hidden layer.
                \foreach \source in {1,...,3}
                    \foreach \dest in {1,...,12}
                        \path (I-\source) edge (H1-\dest);
                % connect all hidden stuff
                \foreach [remember=\N as \lastN (initially 1)] \N in {2,...,\Nhidden}
                   \foreach \source in {1,...,12}
                       \foreach \dest in {1,...,12}
                           \path (H\lastN-\source) edge (H\N-\dest);
                % Connect every node in the hidden layer with the output layer
                \foreach \source in {1,...,12}
                    \path (H\Nhidden-\source) edge (O);
                % Annotate the layers
                \node[annot,left of=hl1] {Input layer};
                \node[annot,right of=hl\Nhidden] {Output layer};
            \end{tikzpicture}
            % End of code
            \end{document}

提前致谢!

答案1

您可以在节点后的花括号中写入文本(如下所示),但是这会破坏原始图形的间距,并且看起来非常模糊。

在此处输入图片描述

\documentclass{standalone}
            \usepackage{tikz}
            \begin{document}
            \pagestyle{empty}
            \def\layersep{3cm}
            \def\nodeinlayersep{1.5cm}
            \begin{tikzpicture}[
               shorten >=1pt,->,
               draw=black!50,
                node distance=\layersep,
                every pin edge/.style={<-,shorten <=1pt},
                neuron/.style={circle,fill=black!25,minimum size=17pt,inner sep=0pt},
                input neuron/.style={neuron, fill=green!50},
                output neuron/.style={neuron, fill=red!50},
                hidden neuron/.style={neuron, fill=blue!50},
                annot/.style={text width=4em, text centered}
            ]
                % Draw the input layer nodes
                \foreach \name / \y in {1,...,3}
                % This is the same as writing \foreach \name / \y in {1/1,2/2,3/3,4/4}
                    \node[input neuron, pin=left:Input \#\y] (I-\name) at (0,-\y) {};
                % set number of hidden layers
                \newcommand\Nhidden{2}
                % Draw the hidden layer nodes
                \foreach \N in {1,...,\Nhidden} {
                   \foreach \y in {1,...,12} {
                      \path[yshift=6cm]
                      node[hidden neuron] (H\N-\y) at (\N*\layersep,-\y*\nodeinlayersep ) {$\frac{1}{1+e^{-x}}$};
                       }
                \node[annot,above of=H\N-1, node distance=1cm] (hl\N) {Hidden layer \N};
                }
                % Draw the output layer node
                \node[output neuron,pin={[pin edge={->}]right:Output}, right of=H\Nhidden-6] (O) {};
%
                % Connect every node in the input layer with every node in the
                % hidden layer.
                \foreach \source in {1,...,3}
                    \foreach \dest in {1,...,12}
                        \path (I-\source) edge (H1-\dest);
                % connect all hidden stuff
                \foreach [remember=\N as \lastN (initially 1)] \N in {2,...,\Nhidden}
                   \foreach \source in {1,...,12}
                       \foreach \dest in {1,...,12}
                           \path (H\lastN-\source) edge (H\N-\dest);
                % Connect every node in the hidden layer with the output layer
                \foreach \source in {1,...,12}
                    \path (H\Nhidden-\source) edge (O);
                % Annotate the layers
                \node[annot,left of=hl1] {Input layer};
                \node[annot,right of=hl\Nhidden] {Output layer};
            \end{tikzpicture}
            % End of code
            \end{document}

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