\section{Identity\+Function Class Reference}
\label{classmlpack_1_1ann_1_1IdentityFunction}\index{Identity\+Function@{Identity\+Function}}


The identity function, defined by.  


\subsection*{Static Public Member Functions}
\begin{DoxyCompactItemize}
\item 
static double \textbf{ Deriv} (const double)
\begin{DoxyCompactList}\small\item\em Computes the first derivative of the identity function. \end{DoxyCompactList}\item 
{\footnotesize template$<$typename Input\+Vec\+Type , typename Output\+Vec\+Type $>$ }\\static void \textbf{ Deriv} (const Input\+Vec\+Type \&y, Output\+Vec\+Type \&x)
\begin{DoxyCompactList}\small\item\em Computes the first derivatives of the identity function. \end{DoxyCompactList}\item 
{\footnotesize template$<$typename eT $>$ }\\static void \textbf{ Deriv} (const arma\+::\+Cube$<$ eT $>$ \&y, arma\+::\+Cube$<$ eT $>$ \&x)
\begin{DoxyCompactList}\small\item\em Computes the first derivatives of the identity function using a 3rd order tensor as input. \end{DoxyCompactList}\item 
static double \textbf{ Fn} (const double x)
\begin{DoxyCompactList}\small\item\em Computes the identity function. \end{DoxyCompactList}\item 
{\footnotesize template$<$typename Input\+Vec\+Type , typename Output\+Vec\+Type $>$ }\\static void \textbf{ Fn} (const Input\+Vec\+Type \&x, Output\+Vec\+Type \&y)
\begin{DoxyCompactList}\small\item\em Computes the identity function. \end{DoxyCompactList}\end{DoxyCompactItemize}


\subsection{Detailed Description}
The identity function, defined by. 

\begin{eqnarray*} f(x) &=& x \\ f'(x) &=& 1 \end{eqnarray*} 

Definition at line 28 of file identity\+\_\+function.\+hpp.



\subsection{Member Function Documentation}
\mbox{\label{classmlpack_1_1ann_1_1IdentityFunction_a6e87bef3ba5736353235159d3527b853}} 
\index{mlpack\+::ann\+::\+Identity\+Function@{mlpack\+::ann\+::\+Identity\+Function}!Deriv@{Deriv}}
\index{Deriv@{Deriv}!mlpack\+::ann\+::\+Identity\+Function@{mlpack\+::ann\+::\+Identity\+Function}}
\subsubsection{Deriv()\hspace{0.1cm}{\footnotesize\ttfamily [1/3]}}
{\footnotesize\ttfamily static double Deriv (\begin{DoxyParamCaption}\item[{const double}]{ }\end{DoxyParamCaption})\hspace{0.3cm}{\ttfamily [inline]}, {\ttfamily [static]}}



Computes the first derivative of the identity function. 


\begin{DoxyParams}{Parameters}
{\em x} & Input data. \\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}
f\textquotesingle{}(x) 
\end{DoxyReturn}


Definition at line 60 of file identity\+\_\+function.\+hpp.

\mbox{\label{classmlpack_1_1ann_1_1IdentityFunction_ad442502c34b67303b74c735641dab790}} 
\index{mlpack\+::ann\+::\+Identity\+Function@{mlpack\+::ann\+::\+Identity\+Function}!Deriv@{Deriv}}
\index{Deriv@{Deriv}!mlpack\+::ann\+::\+Identity\+Function@{mlpack\+::ann\+::\+Identity\+Function}}
\subsubsection{Deriv()\hspace{0.1cm}{\footnotesize\ttfamily [2/3]}}
{\footnotesize\ttfamily static void Deriv (\begin{DoxyParamCaption}\item[{const Input\+Vec\+Type \&}]{y,  }\item[{Output\+Vec\+Type \&}]{x }\end{DoxyParamCaption})\hspace{0.3cm}{\ttfamily [inline]}, {\ttfamily [static]}}



Computes the first derivatives of the identity function. 


\begin{DoxyParams}{Parameters}
{\em y} & Input data/activation. \\
\hline
{\em x} & The resulting derivatives. \\
\hline
\end{DoxyParams}


Definition at line 72 of file identity\+\_\+function.\+hpp.

\mbox{\label{classmlpack_1_1ann_1_1IdentityFunction_a81fc1e2d6f4832dd4a564b8d3575f75f}} 
\index{mlpack\+::ann\+::\+Identity\+Function@{mlpack\+::ann\+::\+Identity\+Function}!Deriv@{Deriv}}
\index{Deriv@{Deriv}!mlpack\+::ann\+::\+Identity\+Function@{mlpack\+::ann\+::\+Identity\+Function}}
\subsubsection{Deriv()\hspace{0.1cm}{\footnotesize\ttfamily [3/3]}}
{\footnotesize\ttfamily static void Deriv (\begin{DoxyParamCaption}\item[{const arma\+::\+Cube$<$ eT $>$ \&}]{y,  }\item[{arma\+::\+Cube$<$ eT $>$ \&}]{x }\end{DoxyParamCaption})\hspace{0.3cm}{\ttfamily [inline]}, {\ttfamily [static]}}



Computes the first derivatives of the identity function using a 3rd order tensor as input. 


\begin{DoxyParams}{Parameters}
{\em y} & Input activations. \\
\hline
{\em x} & The resulting derivatives. \\
\hline
\end{DoxyParams}


Definition at line 85 of file identity\+\_\+function.\+hpp.

\mbox{\label{classmlpack_1_1ann_1_1IdentityFunction_a11bd9a1195e6b107f9fee73643bc328b}} 
\index{mlpack\+::ann\+::\+Identity\+Function@{mlpack\+::ann\+::\+Identity\+Function}!Fn@{Fn}}
\index{Fn@{Fn}!mlpack\+::ann\+::\+Identity\+Function@{mlpack\+::ann\+::\+Identity\+Function}}
\subsubsection{Fn()\hspace{0.1cm}{\footnotesize\ttfamily [1/2]}}
{\footnotesize\ttfamily static double Fn (\begin{DoxyParamCaption}\item[{const double}]{x }\end{DoxyParamCaption})\hspace{0.3cm}{\ttfamily [inline]}, {\ttfamily [static]}}



Computes the identity function. 


\begin{DoxyParams}{Parameters}
{\em x} & Input data. \\
\hline
\end{DoxyParams}
\begin{DoxyReturn}{Returns}
f(x). 
\end{DoxyReturn}


Definition at line 37 of file identity\+\_\+function.\+hpp.

\mbox{\label{classmlpack_1_1ann_1_1IdentityFunction_af6cf5da90eb6312e3e25c9b8bd9c3527}} 
\index{mlpack\+::ann\+::\+Identity\+Function@{mlpack\+::ann\+::\+Identity\+Function}!Fn@{Fn}}
\index{Fn@{Fn}!mlpack\+::ann\+::\+Identity\+Function@{mlpack\+::ann\+::\+Identity\+Function}}
\subsubsection{Fn()\hspace{0.1cm}{\footnotesize\ttfamily [2/2]}}
{\footnotesize\ttfamily static void Fn (\begin{DoxyParamCaption}\item[{const Input\+Vec\+Type \&}]{x,  }\item[{Output\+Vec\+Type \&}]{y }\end{DoxyParamCaption})\hspace{0.3cm}{\ttfamily [inline]}, {\ttfamily [static]}}



Computes the identity function. 


\begin{DoxyParams}{Parameters}
{\em x} & Input data. \\
\hline
{\em y} & The resulting output activation. \\
\hline
\end{DoxyParams}


Definition at line 49 of file identity\+\_\+function.\+hpp.



The documentation for this class was generated from the following file\+:\begin{DoxyCompactItemize}
\item 
/var/www/mlpack.\+ratml.\+org/mlpack.\+org/\+\_\+src/mlpack-\/3.\+3.\+1/src/mlpack/methods/ann/activation\+\_\+functions/\textbf{ identity\+\_\+function.\+hpp}\end{DoxyCompactItemize}