\section{Linear$<$ Input\+Data\+Type, Output\+Data\+Type, Regularizer\+Type $>$ Class Template Reference} \label{classmlpack_1_1ann_1_1Linear}\index{Linear$<$ Input\+Data\+Type, Output\+Data\+Type, Regularizer\+Type $>$@{Linear$<$ Input\+Data\+Type, Output\+Data\+Type, Regularizer\+Type $>$}} Implementation of the \doxyref{Linear}{p.}{classmlpack_1_1ann_1_1Linear} layer class. \subsection*{Public Member Functions} \begin{DoxyCompactItemize} \item \textbf{ Linear} () \begin{DoxyCompactList}\small\item\em Create the \doxyref{Linear}{p.}{classmlpack_1_1ann_1_1Linear} object. \end{DoxyCompactList}\item \textbf{ Linear} (const size\+\_\+t in\+Size, const size\+\_\+t out\+Size, Regularizer\+Type regularizer=Regularizer\+Type()) \begin{DoxyCompactList}\small\item\em Create the \doxyref{Linear}{p.}{classmlpack_1_1ann_1_1Linear} layer object using the specified number of units. \end{DoxyCompactList}\item {\footnotesize template$<$typename eT $>$ }\\void \textbf{ Backward} (const arma\+::\+Mat$<$ eT $>$ \&, const arma\+::\+Mat$<$ eT $>$ \&gy, arma\+::\+Mat$<$ eT $>$ \&g) \begin{DoxyCompactList}\small\item\em Ordinary feed backward pass of a neural network, calculating the function f(x) by propagating x backwards trough f. \end{DoxyCompactList}\item arma\+::mat \& \textbf{ Bias} () \begin{DoxyCompactList}\small\item\em Modify the bias weights of the layer. \end{DoxyCompactList}\item Output\+Data\+Type const \& \textbf{ Delta} () const \begin{DoxyCompactList}\small\item\em Get the delta. \end{DoxyCompactList}\item Output\+Data\+Type \& \textbf{ Delta} () \begin{DoxyCompactList}\small\item\em Modify the delta. \end{DoxyCompactList}\item {\footnotesize template$<$typename eT $>$ }\\void \textbf{ Forward} (const arma\+::\+Mat$<$ eT $>$ \&input, arma\+::\+Mat$<$ eT $>$ \&output) \begin{DoxyCompactList}\small\item\em Ordinary feed forward pass of a neural network, evaluating the function f(x) by propagating the activity forward through f. \end{DoxyCompactList}\item {\footnotesize template$<$typename eT $>$ }\\void \textbf{ Gradient} (const arma\+::\+Mat$<$ eT $>$ \&input, const arma\+::\+Mat$<$ eT $>$ \&error, arma\+::\+Mat$<$ eT $>$ \&gradient) \item Output\+Data\+Type const \& \textbf{ Gradient} () const \begin{DoxyCompactList}\small\item\em Get the gradient. \end{DoxyCompactList}\item Output\+Data\+Type \& \textbf{ Gradient} () \begin{DoxyCompactList}\small\item\em Modify the gradient. \end{DoxyCompactList}\item Input\+Data\+Type const \& \textbf{ Input\+Parameter} () const \begin{DoxyCompactList}\small\item\em Get the input parameter. \end{DoxyCompactList}\item Input\+Data\+Type \& \textbf{ Input\+Parameter} () \begin{DoxyCompactList}\small\item\em Modify the input parameter. \end{DoxyCompactList}\item size\+\_\+t \textbf{ Input\+Size} () const \begin{DoxyCompactList}\small\item\em Get the input size. \end{DoxyCompactList}\item Output\+Data\+Type const \& \textbf{ Output\+Parameter} () const \begin{DoxyCompactList}\small\item\em Get the output parameter. \end{DoxyCompactList}\item Output\+Data\+Type \& \textbf{ Output\+Parameter} () \begin{DoxyCompactList}\small\item\em Modify the output parameter. \end{DoxyCompactList}\item size\+\_\+t \textbf{ Output\+Size} () const \begin{DoxyCompactList}\small\item\em Get the output size. \end{DoxyCompactList}\item Output\+Data\+Type const \& \textbf{ Parameters} () const \begin{DoxyCompactList}\small\item\em Get the parameters. \end{DoxyCompactList}\item Output\+Data\+Type \& \textbf{ Parameters} () \begin{DoxyCompactList}\small\item\em Modify the parameters. \end{DoxyCompactList}\item void \textbf{ Reset} () \item {\footnotesize template$<$typename Archive $>$ }\\void \textbf{ serialize} (Archive \&ar, const unsigned int) \begin{DoxyCompactList}\small\item\em Serialize the layer. \end{DoxyCompactList}\end{DoxyCompactItemize} \subsection{Detailed Description} \subsubsection*{template$<$typename Input\+Data\+Type = arma\+::mat, typename Output\+Data\+Type = arma\+::mat, typename Regularizer\+Type = No\+Regularizer$>$\newline class mlpack\+::ann\+::\+Linear$<$ Input\+Data\+Type, Output\+Data\+Type, Regularizer\+Type $>$} Implementation of the \doxyref{Linear}{p.}{classmlpack_1_1ann_1_1Linear} layer class. The \doxyref{Linear}{p.}{classmlpack_1_1ann_1_1Linear} class represents a single layer of a neural network. \begin{DoxyTemplParams}{Template Parameters} {\em Input\+Data\+Type} & Type of the input data (arma\+::colvec, arma\+::mat, arma\+::sp\+\_\+mat or arma\+::cube). \\ \hline {\em Output\+Data\+Type} & Type of the output data (arma\+::colvec, arma\+::mat, arma\+::sp\+\_\+mat or arma\+::cube). \\ \hline \end{DoxyTemplParams} Definition at line 82 of file layer\+\_\+types.\+hpp. \subsection{Constructor \& Destructor Documentation} \mbox{\label{classmlpack_1_1ann_1_1Linear_a74718d0ddfb023a44f6178db18c6bd4a}} \index{mlpack\+::ann\+::\+Linear@{mlpack\+::ann\+::\+Linear}!Linear@{Linear}} \index{Linear@{Linear}!mlpack\+::ann\+::\+Linear@{mlpack\+::ann\+::\+Linear}} \subsubsection{Linear()\hspace{0.1cm}{\footnotesize\ttfamily [1/2]}} {\footnotesize\ttfamily \textbf{ Linear} (\begin{DoxyParamCaption}{ }\end{DoxyParamCaption})} Create the \doxyref{Linear}{p.}{classmlpack_1_1ann_1_1Linear} object. \mbox{\label{classmlpack_1_1ann_1_1Linear_a1c63b8043ac43d2f9d1187a4b806b36b}} \index{mlpack\+::ann\+::\+Linear@{mlpack\+::ann\+::\+Linear}!Linear@{Linear}} \index{Linear@{Linear}!mlpack\+::ann\+::\+Linear@{mlpack\+::ann\+::\+Linear}} \subsubsection{Linear()\hspace{0.1cm}{\footnotesize\ttfamily [2/2]}} {\footnotesize\ttfamily \textbf{ Linear} (\begin{DoxyParamCaption}\item[{const size\+\_\+t}]{in\+Size, }\item[{const size\+\_\+t}]{out\+Size, }\item[{Regularizer\+Type}]{regularizer = {\ttfamily RegularizerType()} }\end{DoxyParamCaption})} Create the \doxyref{Linear}{p.}{classmlpack_1_1ann_1_1Linear} layer object using the specified number of units. \begin{DoxyParams}{Parameters} {\em in\+Size} & The number of input units. \\ \hline {\em out\+Size} & The number of output units. \\ \hline {\em regularizer} & The regularizer to use, optional. \\ \hline \end{DoxyParams} \subsection{Member Function Documentation} \mbox{\label{classmlpack_1_1ann_1_1Linear_ad9ad1a3bdb0f3fff5c839ed155e4bbf8}} \index{mlpack\+::ann\+::\+Linear@{mlpack\+::ann\+::\+Linear}!Backward@{Backward}} \index{Backward@{Backward}!mlpack\+::ann\+::\+Linear@{mlpack\+::ann\+::\+Linear}} \subsubsection{Backward()} {\footnotesize\ttfamily void Backward (\begin{DoxyParamCaption}\item[{const arma\+::\+Mat$<$ eT $>$ \&}]{, }\item[{const arma\+::\+Mat$<$ eT $>$ \&}]{gy, }\item[{arma\+::\+Mat$<$ eT $>$ \&}]{g }\end{DoxyParamCaption})} Ordinary feed backward pass of a neural network, calculating the function f(x) by propagating x backwards trough f. Using the results from the feed forward pass. \begin{DoxyParams}{Parameters} {\em $\ast$} & (input) The propagated input activation. \\ \hline {\em gy} & The backpropagated error. \\ \hline {\em g} & The calculated gradient. \\ \hline \end{DoxyParams} \mbox{\label{classmlpack_1_1ann_1_1Linear_a398f0702633d5ba7afe6057d25f4b78c}} \index{mlpack\+::ann\+::\+Linear@{mlpack\+::ann\+::\+Linear}!Bias@{Bias}} \index{Bias@{Bias}!mlpack\+::ann\+::\+Linear@{mlpack\+::ann\+::\+Linear}} \subsubsection{Bias()} {\footnotesize\ttfamily arma\+::mat\& Bias (\begin{DoxyParamCaption}{ }\end{DoxyParamCaption})\hspace{0.3cm}{\ttfamily [inline]}} Modify the bias weights of the layer. Definition at line 128 of file linear.\+hpp. References Linear$<$ Input\+Data\+Type, Output\+Data\+Type, Regularizer\+Type $>$\+::serialize(). \mbox{\label{classmlpack_1_1ann_1_1Linear_a797f7edb44dd081e5e2b3cc316eef6bd}} \index{mlpack\+::ann\+::\+Linear@{mlpack\+::ann\+::\+Linear}!Delta@{Delta}} \index{Delta@{Delta}!mlpack\+::ann\+::\+Linear@{mlpack\+::ann\+::\+Linear}} \subsubsection{Delta()\hspace{0.1cm}{\footnotesize\ttfamily [1/2]}} {\footnotesize\ttfamily Output\+Data\+Type const\& Delta (\begin{DoxyParamCaption}{ }\end{DoxyParamCaption}) const\hspace{0.3cm}{\ttfamily [inline]}} Get the delta. Definition at line 112 of file linear.\+hpp. \mbox{\label{classmlpack_1_1ann_1_1Linear_ad6601342d560219ce951d554e69e5e87}} \index{mlpack\+::ann\+::\+Linear@{mlpack\+::ann\+::\+Linear}!Delta@{Delta}} \index{Delta@{Delta}!mlpack\+::ann\+::\+Linear@{mlpack\+::ann\+::\+Linear}} \subsubsection{Delta()\hspace{0.1cm}{\footnotesize\ttfamily [2/2]}} {\footnotesize\ttfamily Output\+Data\+Type\& Delta (\begin{DoxyParamCaption}{ }\end{DoxyParamCaption})\hspace{0.3cm}{\ttfamily [inline]}} Modify the delta. Definition at line 114 of file linear.\+hpp. \mbox{\label{classmlpack_1_1ann_1_1Linear_a461f849bc638c15bec262dc9c3a58abe}} \index{mlpack\+::ann\+::\+Linear@{mlpack\+::ann\+::\+Linear}!Forward@{Forward}} \index{Forward@{Forward}!mlpack\+::ann\+::\+Linear@{mlpack\+::ann\+::\+Linear}} \subsubsection{Forward()} {\footnotesize\ttfamily void Forward (\begin{DoxyParamCaption}\item[{const arma\+::\+Mat$<$ eT $>$ \&}]{input, }\item[{arma\+::\+Mat$<$ eT $>$ \&}]{output }\end{DoxyParamCaption})} Ordinary feed forward pass of a neural network, evaluating the function f(x) by propagating the activity forward through f. \begin{DoxyParams}{Parameters} {\em input} & Input data used for evaluating the specified function. \\ \hline {\em output} & Resulting output activation. \\ \hline \end{DoxyParams} \mbox{\label{classmlpack_1_1ann_1_1Linear_aaf577db350e2130754490d8486fba215}} \index{mlpack\+::ann\+::\+Linear@{mlpack\+::ann\+::\+Linear}!Gradient@{Gradient}} \index{Gradient@{Gradient}!mlpack\+::ann\+::\+Linear@{mlpack\+::ann\+::\+Linear}} \subsubsection{Gradient()\hspace{0.1cm}{\footnotesize\ttfamily [1/3]}} {\footnotesize\ttfamily void Gradient (\begin{DoxyParamCaption}\item[{const arma\+::\+Mat$<$ eT $>$ \&}]{input, }\item[{const arma\+::\+Mat$<$ eT $>$ \&}]{error, }\item[{arma\+::\+Mat$<$ eT $>$ \&}]{gradient }\end{DoxyParamCaption})} \mbox{\label{classmlpack_1_1ann_1_1Linear_a0f1f4e6d93472d83852731a96c8c3f59}} \index{mlpack\+::ann\+::\+Linear@{mlpack\+::ann\+::\+Linear}!Gradient@{Gradient}} \index{Gradient@{Gradient}!mlpack\+::ann\+::\+Linear@{mlpack\+::ann\+::\+Linear}} \subsubsection{Gradient()\hspace{0.1cm}{\footnotesize\ttfamily [2/3]}} {\footnotesize\ttfamily Output\+Data\+Type const\& Gradient (\begin{DoxyParamCaption}{ }\end{DoxyParamCaption}) const\hspace{0.3cm}{\ttfamily [inline]}} Get the gradient. Definition at line 123 of file linear.\+hpp. \mbox{\label{classmlpack_1_1ann_1_1Linear_a19abce4739c3b0b658b612537e21956a}} \index{mlpack\+::ann\+::\+Linear@{mlpack\+::ann\+::\+Linear}!Gradient@{Gradient}} \index{Gradient@{Gradient}!mlpack\+::ann\+::\+Linear@{mlpack\+::ann\+::\+Linear}} \subsubsection{Gradient()\hspace{0.1cm}{\footnotesize\ttfamily [3/3]}} {\footnotesize\ttfamily Output\+Data\+Type\& Gradient (\begin{DoxyParamCaption}{ }\end{DoxyParamCaption})\hspace{0.3cm}{\ttfamily [inline]}} Modify the gradient. Definition at line 125 of file linear.\+hpp. \mbox{\label{classmlpack_1_1ann_1_1Linear_aaffd593b3ab627f8b5aae2a1f53634b0}} \index{mlpack\+::ann\+::\+Linear@{mlpack\+::ann\+::\+Linear}!Input\+Parameter@{Input\+Parameter}} \index{Input\+Parameter@{Input\+Parameter}!mlpack\+::ann\+::\+Linear@{mlpack\+::ann\+::\+Linear}} \subsubsection{Input\+Parameter()\hspace{0.1cm}{\footnotesize\ttfamily [1/2]}} {\footnotesize\ttfamily Input\+Data\+Type const\& Input\+Parameter (\begin{DoxyParamCaption}{ }\end{DoxyParamCaption}) const\hspace{0.3cm}{\ttfamily [inline]}} Get the input parameter. Definition at line 102 of file linear.\+hpp. \mbox{\label{classmlpack_1_1ann_1_1Linear_a063c3b1053c7979a7dd2e7bbd2bf1f8a}} \index{mlpack\+::ann\+::\+Linear@{mlpack\+::ann\+::\+Linear}!Input\+Parameter@{Input\+Parameter}} \index{Input\+Parameter@{Input\+Parameter}!mlpack\+::ann\+::\+Linear@{mlpack\+::ann\+::\+Linear}} \subsubsection{Input\+Parameter()\hspace{0.1cm}{\footnotesize\ttfamily [2/2]}} {\footnotesize\ttfamily Input\+Data\+Type\& Input\+Parameter (\begin{DoxyParamCaption}{ }\end{DoxyParamCaption})\hspace{0.3cm}{\ttfamily [inline]}} Modify the input parameter. Definition at line 104 of file linear.\+hpp. \mbox{\label{classmlpack_1_1ann_1_1Linear_a5a4c4984aa897a28d516e638e7ea5308}} \index{mlpack\+::ann\+::\+Linear@{mlpack\+::ann\+::\+Linear}!Input\+Size@{Input\+Size}} \index{Input\+Size@{Input\+Size}!mlpack\+::ann\+::\+Linear@{mlpack\+::ann\+::\+Linear}} \subsubsection{Input\+Size()} {\footnotesize\ttfamily size\+\_\+t Input\+Size (\begin{DoxyParamCaption}{ }\end{DoxyParamCaption}) const\hspace{0.3cm}{\ttfamily [inline]}} Get the input size. Definition at line 117 of file linear.\+hpp. \mbox{\label{classmlpack_1_1ann_1_1Linear_a0ee21c2a36e5abad1e7a9d5dd00849f9}} \index{mlpack\+::ann\+::\+Linear@{mlpack\+::ann\+::\+Linear}!Output\+Parameter@{Output\+Parameter}} \index{Output\+Parameter@{Output\+Parameter}!mlpack\+::ann\+::\+Linear@{mlpack\+::ann\+::\+Linear}} \subsubsection{Output\+Parameter()\hspace{0.1cm}{\footnotesize\ttfamily [1/2]}} {\footnotesize\ttfamily Output\+Data\+Type const\& Output\+Parameter (\begin{DoxyParamCaption}{ }\end{DoxyParamCaption}) const\hspace{0.3cm}{\ttfamily [inline]}} Get the output parameter. Definition at line 107 of file linear.\+hpp. \mbox{\label{classmlpack_1_1ann_1_1Linear_a21d5f745f02c709625a4ee0907f004a5}} \index{mlpack\+::ann\+::\+Linear@{mlpack\+::ann\+::\+Linear}!Output\+Parameter@{Output\+Parameter}} \index{Output\+Parameter@{Output\+Parameter}!mlpack\+::ann\+::\+Linear@{mlpack\+::ann\+::\+Linear}} \subsubsection{Output\+Parameter()\hspace{0.1cm}{\footnotesize\ttfamily [2/2]}} {\footnotesize\ttfamily Output\+Data\+Type\& Output\+Parameter (\begin{DoxyParamCaption}{ }\end{DoxyParamCaption})\hspace{0.3cm}{\ttfamily [inline]}} Modify the output parameter. Definition at line 109 of file linear.\+hpp. \mbox{\label{classmlpack_1_1ann_1_1Linear_a99c1d948c984b9e76fb5e37e2145427a}} \index{mlpack\+::ann\+::\+Linear@{mlpack\+::ann\+::\+Linear}!Output\+Size@{Output\+Size}} \index{Output\+Size@{Output\+Size}!mlpack\+::ann\+::\+Linear@{mlpack\+::ann\+::\+Linear}} \subsubsection{Output\+Size()} {\footnotesize\ttfamily size\+\_\+t Output\+Size (\begin{DoxyParamCaption}{ }\end{DoxyParamCaption}) const\hspace{0.3cm}{\ttfamily [inline]}} Get the output size. Definition at line 120 of file linear.\+hpp. \mbox{\label{classmlpack_1_1ann_1_1Linear_aa530552c7ef915c952fbacc77b965c90}} \index{mlpack\+::ann\+::\+Linear@{mlpack\+::ann\+::\+Linear}!Parameters@{Parameters}} \index{Parameters@{Parameters}!mlpack\+::ann\+::\+Linear@{mlpack\+::ann\+::\+Linear}} \subsubsection{Parameters()\hspace{0.1cm}{\footnotesize\ttfamily [1/2]}} {\footnotesize\ttfamily Output\+Data\+Type const\& Parameters (\begin{DoxyParamCaption}{ }\end{DoxyParamCaption}) const\hspace{0.3cm}{\ttfamily [inline]}} Get the parameters. Definition at line 97 of file linear.\+hpp. \mbox{\label{classmlpack_1_1ann_1_1Linear_a9c5c5900772a689d5a6b59778ec67120}} \index{mlpack\+::ann\+::\+Linear@{mlpack\+::ann\+::\+Linear}!Parameters@{Parameters}} \index{Parameters@{Parameters}!mlpack\+::ann\+::\+Linear@{mlpack\+::ann\+::\+Linear}} \subsubsection{Parameters()\hspace{0.1cm}{\footnotesize\ttfamily [2/2]}} {\footnotesize\ttfamily Output\+Data\+Type\& Parameters (\begin{DoxyParamCaption}{ }\end{DoxyParamCaption})\hspace{0.3cm}{\ttfamily [inline]}} Modify the parameters. Definition at line 99 of file linear.\+hpp. \mbox{\label{classmlpack_1_1ann_1_1Linear_a372de693ad40b3f42839c8ec6ac845f4}} \index{mlpack\+::ann\+::\+Linear@{mlpack\+::ann\+::\+Linear}!Reset@{Reset}} \index{Reset@{Reset}!mlpack\+::ann\+::\+Linear@{mlpack\+::ann\+::\+Linear}} \subsubsection{Reset()} {\footnotesize\ttfamily void Reset (\begin{DoxyParamCaption}{ }\end{DoxyParamCaption})} \mbox{\label{classmlpack_1_1ann_1_1Linear_af0dd9205158ccf7bcfcd8ff81f79c927}} \index{mlpack\+::ann\+::\+Linear@{mlpack\+::ann\+::\+Linear}!serialize@{serialize}} \index{serialize@{serialize}!mlpack\+::ann\+::\+Linear@{mlpack\+::ann\+::\+Linear}} \subsubsection{serialize()} {\footnotesize\ttfamily void serialize (\begin{DoxyParamCaption}\item[{Archive \&}]{ar, }\item[{const unsigned}]{int }\end{DoxyParamCaption})} Serialize the layer. Referenced by Linear$<$ Input\+Data\+Type, Output\+Data\+Type, Regularizer\+Type $>$\+::\+Bias(). The documentation for this class was generated from the following files\+:\begin{DoxyCompactItemize} \item /var/www/mlpack.\+ratml.\+org/mlpack.\+org/\+\_\+src/mlpack-\/3.\+3.\+2/src/mlpack/methods/ann/layer/\textbf{ layer\+\_\+types.\+hpp}\item /var/www/mlpack.\+ratml.\+org/mlpack.\+org/\+\_\+src/mlpack-\/3.\+3.\+2/src/mlpack/methods/ann/layer/\textbf{ linear.\+hpp}\end{DoxyCompactItemize}