☰

ニューラルネットワークにおける「if-else」の使用

tag-icon • tag-icon tikz-pgf
ニューラルネットワークにおける「if-else」の使用

次のように描きたいです: ここに画像の説明を入力してください

現在私が持っているのはここに画像の説明を入力してください

私の現在のコードは

\begin{figure}
\centering
\label{fig:nn2}
\begin{tikzpicture}[shorten >=1pt,->,draw=black!50, node distance=\layersep]
    \tikzstyle{every pin edge}=[<-,shorten <=1pt]
    \tikzstyle{neuron}=[circle,fill=black!25,minimum size=17pt,inner sep=0pt]
    \tikzstyle{input neuron}=[neuron, fill=green!50];
    \tikzstyle{output neuron}=[neuron, fill=red!50];
    \tikzstyle{hidden neuron}=[neuron, fill=blue!50];
    \tikzstyle{annot} = [text width=4em, text centered]

    % Draw the input layer nodes
    \foreach \name / \y in {1,...,4}
    % This is the same as writing \foreach \name / \y in {1/1,2/2,3/3,4/4}
        %\if \y in {1,2,3,4}        
        \node[input neuron, pin=left:Input \#\y] (I-\name) at (0,-\y) {$x_{\name}$};
        %\else
        %\node[input neuron, pin=left:Input \#\y] (I-\name) at (0,-\y) {$x_{\name}$};
    %\node[input neuron, pin=left:Input \#4] (+1) at (0,-4) {$x_{\name}$};

    % Draw the hidden layer nodes
    \foreach \name / \y in {1,...,4}
        \path[yshift=0.5cm]
            node[hidden neuron] (H-\name) at (\layersep,-\y cm) {$h_{\name}$};

    % Draw the output layer node
    \node[output neuron,pin={[pin edge={->}]right:Output}, right of=H-3] (O) {$y_{0}$};

    % Connect every node in the input layer with every node in the
    % hidden layer.
    \foreach \source in {1,...,4}
        \foreach \dest in {1,...,4}
            \path (I-\source) edge (H-\dest);

    % Connect every node in the hidden layer with the output layer
    \foreach \source in {1,...,4}
        \path (H-\source) edge (O);

    % Annotate the layers
    \node[annot,above of=H-1, node distance=1cm] (hl) {Hidden layer};
    \node[annot,left of=hl] {Input layer};
    \node[annot,right of=hl] {Output layer};
\end{tikzpicture}
\caption{A figure shows the structure of a general neural networks model}
\end{figure}

私は「if-else」を使用しようとしました。修正後のコードは次のようになります。

\begin{figure}
\centering
\label{fig:nn2}
\begin{tikzpicture}[shorten >=1pt,->,draw=black!50, node distance=\layersep]
    \tikzstyle{every pin edge}=[<-,shorten <=1pt]
    \tikzstyle{neuron}=[circle,fill=black!25,minimum size=17pt,inner sep=0pt]
    \tikzstyle{input neuron}=[neuron, fill=green!50];
    \tikzstyle{output neuron}=[neuron, fill=red!50];
    \tikzstyle{hidden neuron}=[neuron, fill=blue!50];
    \tikzstyle{annot} = [text width=4em, text centered]

    % Draw the input layer nodes
    \foreach \name / \y in {1,...,4}
    % This is the same as writing \foreach \name / \y in {1/1,2/2,3/3,4/4}
        \if \y in {1,2,3,4}        
        \node[input neuron, pin=left:Input \#\y] (I-\name) at (0,-\y) {$x_{\name}$};
        \else
        %\node[input neuron, pin=left:Input \#\y] (I-\name) at (0,-\y) {$x_{\name}$};
    %\node[input neuron, pin=left:Input \#4] (+1) at (0,-4) {$x_{\name}$};

    % Draw the hidden layer nodes
    \foreach \name / \y in {1,...,4}
        \path[yshift=0.5cm]
            node[hidden neuron] (H-\name) at (\layersep,-\y cm) {$h_{\name}$};

    % Draw the output layer node
    \node[output neuron,pin={[pin edge={->}]right:Output}, right of=H-3] (O) {$y_{0}$};

    % Connect every node in the input layer with every node in the
    % hidden layer.
    \foreach \source in {1,...,4}
        \foreach \dest in {1,...,4}
            \path (I-\source) edge (H-\dest);

    % Connect every node in the hidden layer with the output layer
    \foreach \source in {1,...,4}
        \path (H-\source) edge (O);

    % Annotate the layers
    \node[annot,above of=H-1, node distance=1cm] (hl) {Hidden layer};
    \node[annot,left of=hl] {Input layer};
    \node[annot,right of=hl] {Output layer};
\end{tikzpicture}
\caption{A figure shows the structure of a general neural networks model}
\end{figure}

ただし、エラーがあります: 余分な}、または忘れられた\endgroup

ありがとう！

答え1

ループ本体を囲む中括弧と、\fiif ステートメントを閉じるための が欠落しています。また、\ifステートメントは意図したとおりに動作しません。

\if<token1><token2>(文字コードが一致するかテスト)

\ifTeXは、展開できないトークンが 2 つ見つかるまで、マクロを展開します。いずれかのトークンが制御シーケンスの場合、その制御シーケンスの現在の同等物\letが非アクティブな文字トークンと等しくない限り、TeX はそれを文字コード 256、カテゴリ コード 16 と見なします。このように、各トークンは (文字コード、カテゴリ コード) のペアを指定します。カテゴリ コードとは関係なく、文字コードが等しい場合、条件は真になります。たとえば、およびおよびの後では\def\a{*}、\let\b=*テスト \def\c{/}と\if*\aが\if\a\b真になりますが、は\if\a\c偽になります。また、\if\a\parは偽になりますが、は\if\par\let真になります。

(TeXbook 209ページ)

したがって、最初の反復ステップでは1とを比較しi、2 番目で2はiなどを比較して、常に false と評価されます。代わりに、 で最後の反復ステップであるかどうかをチェックしています\ifnum。

\begin{figure}
\centering
\label{fig:nn2}
\begin{tikzpicture}[shorten >=1pt,->,draw=black!50, node distance=\layersep]
    \tikzstyle{every pin edge}=[<-,shorten <=1pt]
    \tikzstyle{neuron}=[circle,fill=black!25,minimum size=17pt,inner sep=0pt]
    \tikzstyle{input neuron}=[neuron, fill=green!50];
    \tikzstyle{output neuron}=[neuron, fill=red!50];
    \tikzstyle{hidden neuron}=[neuron, fill=blue!50];
    \tikzstyle{annot} = [text width=4em, text centered]
    \newcommand{\n}{4} % number of neurons per layer

    % Draw the input layer nodes
    \foreach \name / \y in {1,...,\n}{
    % This is the same as writing \foreach \name / \y in {1/1,2/2,3/3,4/4}
        \ifnum \y=\n
            \node[input neuron, pin=left:Input \#$n$] (I-\name) at (0,-\y) {$x_{n}$};
        \else
            \node[input neuron, pin=left:Input \#\y] (I-\name) at (0,-\y) {$x_{\name}$};
        \fi
    }

    % Draw the hidden layer nodes
    \foreach \name / \y in {1,...,\n}{
        \ifnum \y=\n
            \path[yshift=0.5cm] node[hidden neuron] (H-\name) at (\layersep,-\y cm) {$h_{n}$};
        \else
            \path[yshift=0.5cm] node[hidden neuron] (H-\name) at (\layersep,-\y cm) {$h_{\name}$};
        \fi
    }

    % Draw the output layer node
    \node[output neuron,pin={[pin edge={->}]right:Output}, right of=H-3] (O) {$y_{0}$};

    % Connect every node in the input layer with every node in the
    % hidden layer.
    \foreach \source in {1,...,\n}
        \foreach \dest in {1,...,\n}
            \path (I-\source) edge (H-\dest);

    % Connect every node in the hidden layer with the output layer
    \foreach \source in {1,...,\n}
        \path (H-\source) edge (O);

    % Annotate the layers
    \node[annot,above of=H-1, node distance=1cm] (hl) {Hidden layer};
    \node[annot,left of=hl] {Input layer};
    \node[annot,right of=hl] {Output layer};
\end{tikzpicture}
\caption{A figure shows the structure of a general neural networks model}
\end{figure}

ただし、ここでは if は使用しません。

\begin{figure}
\centering
\label{fig:nn2}
\begin{tikzpicture}[shorten >=1pt,->,draw=black!50, node distance=\layersep]
    \tikzstyle{every pin edge}=[<-,shorten <=1pt]
    \tikzstyle{neuron}=[circle,fill=black!25,minimum size=17pt,inner sep=0pt]
    \tikzstyle{input neuron}=[neuron, fill=green!50];
    \tikzstyle{output neuron}=[neuron, fill=red!50];
    \tikzstyle{hidden neuron}=[neuron, fill=blue!50];
    \tikzstyle{annot} = [text width=4em, text centered]
    \newcommand{\numberNeuronsPerLayer}{4}
    \edef\numberNeuronsPerLayerMinusOne{\number\numexpr\numberNeuronsPerLayer-1\relax}

    % Draw the input layer nodes
    \foreach \name / \y in {1,...,\numberNeuronsPerLayerMinusOne}{
    % 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) {$x_{\name}$};
    }
    \node[input neuron, pin=left:Input \#$n$] (I-\numberNeuronsPerLayer) at (0,-\numberNeuronsPerLayer) {$x_{n}$};

    % Draw the hidden layer nodes
    \begin{scope}[yshift=0.5cm]
        \foreach \name / \y in {1,...,\numberNeuronsPerLayerMinusOne}{
            \path node[hidden neuron] (H-\name) at (\layersep,-\y cm) {$h_{\name}$};
        }
        \path node[hidden neuron] (H-\numberNeuronsPerLayer) at (\layersep,-\numberNeuronsPerLayer cm) {$h_{n}$};
    \end{scope}

    % Draw the output layer node
    \node[output neuron,pin={[pin edge={->}]right:Output}, right of=H-3] (O) {$y_{0}$};

    % Connect every node in the input layer with every node in the
    % hidden layer.
    \foreach \source in {1,...,\numberNeuronsPerLayer}
        \foreach \dest in {1,...,\numberNeuronsPerLayer}
            \path (I-\source) edge (H-\dest);

    % Connect every node in the hidden layer with the output layer
    \foreach \source in {1,...,\numberNeuronsPerLayer}
        \path (H-\source) edge (O);

    % Annotate the layers
    \node[annot,above of=H-1, node distance=1cm] (hl) {Hidden layer};
    \node[annot,left of=hl] {Input layer};
    \node[annot,right of=hl] {Output layer};
\end{tikzpicture}
\caption{A figure shows the structure of a general neural networks model}
\end{figure}

答え2

あなたの回答に基づいて 質問:

ここに画像の説明を入力してください

\documentclass[tikz, margin=3mm]{standalone}
\usetikzlibrary{calc, chains, positioning}

\begin{document}
    \begin{tikzpicture}[shorten >=1pt,->, draw=black!50,
        node distance = 6mm and 24mm,
          start chain = going below,
every pin edge/.style = {<-,shorten <=1pt},
        neuron/.style = {circle, fill=#1,
                         minimum size=17pt, inner sep=0pt},
         annot/.style = {text width=4em, align=center}
                        ]
% Draw the input and hidden layer nodes
\ifnum\i<4 
    \node[neuron=green!50, on chain,
          pin=180:Input \#\i    % if you not like to have this inputs, just erase them
          ]              (I-\i)  {$x_{\i}$};
    \node[neuron=blue!50,
      right=of I-\i]     (H-\i)  {};
\else 
    \node[neuron=green!50, on chain,
          pin=180:Input \#\i    % if you not like to have this inputs, just erase them
          ]              (I-\i)  {$+1$}; 
    \node[neuron=blue!50,
          right=of I-\i] (H-\i)  {$+1$}; 
\fi
}
% Draw the output layer node
    \node[neuron=red!50,
          right=of $(H-2)!0.5!(H-3)$]  (O-1)   {};
% Connect input nodes with hidden nodes and
%  hiden nodes with output nodes with the output layer
    \foreach \i in {1,...,4}
        \foreach \j in {1,...,4}
{
    \draw (I-\i) edge (H-\j)
          (H-\j) edge (O-1);
}
    \draw (O-1) -- node[below] {$h_{w,b}(x)$} + (2,0);
% Annotate layers
\node[annot,below=of I-4.center]        {Layer 1};
\node[annot,below=of H-4.center]        {Layer 2};
\node[annot,below=of O-1 |- H-4.center] {Layer 3};
    \end{tikzpicture}
\end{document}

条件文: 上記のMWEから次のようになります

\ifnum\i<4
    action 1
\else
    action 2
\fi;

補遺: 条件文なしで解決できる問題:

\documentclass[tikz, margin=3mm]{standalone}
\usetikzlibrary{calc, chains, positioning}

\begin{document}
    \begin{tikzpicture}[shorten >=1pt,->, draw=black!50,
        node distance = 6mm and 24mm,
          start chain = going below,
every pin edge/.style = {<-,shorten <=1pt},
        neuron/.style = {circle, fill=#1,
                         minimum size=17pt, inner sep=0pt},
         annot/.style = {text width=4em, align=center}
                        ]
% Draw the input and hyden layer nodes
\foreach \i in {1,2,3}
{
    \node[neuron=green!50, on chain,
          pin=180:Input \#\i    % if you not like to have this inputs, just erase them
          ]             (I-\i)  {$x_{\i}$};
    \node[neuron=blue!50,
      right=of I-\i]    (H-\i)     {};
}
    \node[neuron=green!50, 
          pin=180:Input \#\i    % if you not like to have this inputs, just erase them
          below=of I-3
          ]              (I-4)  {$+1$};
    \node[neuron=blue!50,
          below=of H-3] (H-4)  {$+1$};
% Draw the output layer node
    \node[neuron=red!50,
          right=of $(H-2)!0.5!(H-3)$]  (O-1)   {};
% Connect input nodes with hidden nodes and
%  hiden nodes with output nodes with the output layer
    \foreach \i in {1,...,4}
        \foreach \j in {1,...,4}
{
    \draw (I-\i) edge (H-\j)
          (H-\j) edge (O-1);
}
    \draw (O-1) -- node[below] {$h_{w,b}(x)$} + (2,0);
% Annotate layers
\node[annot,below=of I-4.center]        {Layer 1};
\node[annot,below=of H-4.center]        {Layer 2};
\node[annot,below=of O-1 |- H-4.center] {Layer 3};
    \end{tikzpicture}
\end{document}

結果は前と同じです。

関連情報