\section{R\+BF$<$ Input\+Data\+Type, Output\+Data\+Type, Activation $>$ Class Template Reference} \label{classmlpack_1_1ann_1_1RBF}\index{R\+B\+F$<$ Input\+Data\+Type, Output\+Data\+Type, Activation $>$@{R\+B\+F$<$ Input\+Data\+Type, Output\+Data\+Type, Activation $>$}} Implementation of the Radial Basis Function layer. \subsection*{Public Member Functions} \begin{DoxyCompactItemize} \item \textbf{ R\+BF} () \begin{DoxyCompactList}\small\item\em Create the \doxyref{R\+BF}{p.}{classmlpack_1_1ann_1_1RBF} object. \end{DoxyCompactList}\item \textbf{ R\+BF} (const size\+\_\+t in\+Size, const size\+\_\+t out\+Size, arma\+::mat \¢res, double betas=0) \begin{DoxyCompactList}\small\item\em Create the Radial Basis Function layer object using the specified parameters. \end{DoxyCompactList}\item {\footnotesize template$<$typename eT $>$ }\\void \textbf{ Backward} (const arma\+::\+Mat$<$ eT $>$ \&, const arma\+::\+Mat$<$ eT $>$ \&, arma\+::\+Mat$<$ eT $>$ \&) \begin{DoxyCompactList}\small\item\em Ordinary feed backward pass of the radial basis function. \end{DoxyCompactList}\item Output\+Data\+Type const \& \textbf{ Delta} () const \begin{DoxyCompactList}\small\item\em Get the detla. \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 the radial basis function. \end{DoxyCompactList}\item Input\+Data\+Type const \& \textbf{ Input\+Parameter} () const \begin{DoxyCompactList}\small\item\em Get the parameters. \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 {\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 Activation = Gaussian\+Function$>$\newline class mlpack\+::ann\+::\+R\+B\+F$<$ Input\+Data\+Type, Output\+Data\+Type, Activation $>$} Implementation of the Radial Basis Function layer. The \doxyref{R\+BF}{p.}{classmlpack_1_1ann_1_1RBF} class when use with a non-\/linear activation function acts as a Radial Basis Function which can be used with Feed-\/\+Forward neural network. For more information, refer to the following paper, \begin{DoxyCode} @article\{Volume 51: Artificial Intelligence and Statistics, author = \{Qichao Que, Mikhail Belkin\}, title = \{Back to the Future: Radial Basis Function Networks Revisited\}, year = \{2016\}, url = \{http:\textcolor{comment}{//proceedings.mlr.press/v51/que16.pdf\},} \} \end{DoxyCode} \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 {\em Activation} & Type of the activation function (mlpack\+::ann\+::\+Gaussian). \\ \hline \end{DoxyTemplParams} Definition at line 87 of file layer\+\_\+types.\+hpp. \subsection{Constructor \& Destructor Documentation} \mbox{\label{classmlpack_1_1ann_1_1RBF_ae44ef733c364ddb1a3b9202216ce100c}} \index{mlpack\+::ann\+::\+R\+BF@{mlpack\+::ann\+::\+R\+BF}!R\+BF@{R\+BF}} \index{R\+BF@{R\+BF}!mlpack\+::ann\+::\+R\+BF@{mlpack\+::ann\+::\+R\+BF}} \subsubsection{R\+B\+F()\hspace{0.1cm}{\footnotesize\ttfamily [1/2]}} {\footnotesize\ttfamily \textbf{ R\+BF} (\begin{DoxyParamCaption}{ }\end{DoxyParamCaption})} Create the \doxyref{R\+BF}{p.}{classmlpack_1_1ann_1_1RBF} object. \mbox{\label{classmlpack_1_1ann_1_1RBF_ad40154c64ad5a60b08248198f06eb3d2}} \index{mlpack\+::ann\+::\+R\+BF@{mlpack\+::ann\+::\+R\+BF}!R\+BF@{R\+BF}} \index{R\+BF@{R\+BF}!mlpack\+::ann\+::\+R\+BF@{mlpack\+::ann\+::\+R\+BF}} \subsubsection{R\+B\+F()\hspace{0.1cm}{\footnotesize\ttfamily [2/2]}} {\footnotesize\ttfamily \textbf{ R\+BF} (\begin{DoxyParamCaption}\item[{const size\+\_\+t}]{in\+Size, }\item[{const size\+\_\+t}]{out\+Size, }\item[{arma\+::mat \&}]{centres, }\item[{double}]{betas = {\ttfamily 0} }\end{DoxyParamCaption})} Create the Radial Basis Function layer object using the specified parameters. \begin{DoxyParams}{Parameters} {\em in\+Size} & The number of input units. \\ \hline {\em out\+Size} & The number of output units. \\ \hline {\em centres} & The centres calculated using k-\/means of data. \\ \hline {\em betas} & The beta value to be used with centres. \\ \hline \end{DoxyParams} \subsection{Member Function Documentation} \mbox{\label{classmlpack_1_1ann_1_1RBF_a2eeb9b2b39181bce4c6a18783443636a}} \index{mlpack\+::ann\+::\+R\+BF@{mlpack\+::ann\+::\+R\+BF}!Backward@{Backward}} \index{Backward@{Backward}!mlpack\+::ann\+::\+R\+BF@{mlpack\+::ann\+::\+R\+BF}} \subsubsection{Backward()} {\footnotesize\ttfamily void Backward (\begin{DoxyParamCaption}\item[{const arma\+::\+Mat$<$ eT $>$ \&}]{, }\item[{const arma\+::\+Mat$<$ eT $>$ \&}]{, }\item[{arma\+::\+Mat$<$ eT $>$ \&}]{ }\end{DoxyParamCaption})} Ordinary feed backward pass of the radial basis function. \mbox{\label{classmlpack_1_1ann_1_1RBF_a797f7edb44dd081e5e2b3cc316eef6bd}} \index{mlpack\+::ann\+::\+R\+BF@{mlpack\+::ann\+::\+R\+BF}!Delta@{Delta}} \index{Delta@{Delta}!mlpack\+::ann\+::\+R\+BF@{mlpack\+::ann\+::\+R\+BF}} \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 detla. Definition at line 109 of file radial\+\_\+basis\+\_\+function.\+hpp. \mbox{\label{classmlpack_1_1ann_1_1RBF_ad6601342d560219ce951d554e69e5e87}} \index{mlpack\+::ann\+::\+R\+BF@{mlpack\+::ann\+::\+R\+BF}!Delta@{Delta}} \index{Delta@{Delta}!mlpack\+::ann\+::\+R\+BF@{mlpack\+::ann\+::\+R\+BF}} \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 111 of file radial\+\_\+basis\+\_\+function.\+hpp. References R\+B\+F$<$ Input\+Data\+Type, Output\+Data\+Type, Activation $>$\+::serialize(). \mbox{\label{classmlpack_1_1ann_1_1RBF_a461f849bc638c15bec262dc9c3a58abe}} \index{mlpack\+::ann\+::\+R\+BF@{mlpack\+::ann\+::\+R\+BF}!Forward@{Forward}} \index{Forward@{Forward}!mlpack\+::ann\+::\+R\+BF@{mlpack\+::ann\+::\+R\+BF}} \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 the radial basis function. \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_1RBF_aaffd593b3ab627f8b5aae2a1f53634b0}} \index{mlpack\+::ann\+::\+R\+BF@{mlpack\+::ann\+::\+R\+BF}!Input\+Parameter@{Input\+Parameter}} \index{Input\+Parameter@{Input\+Parameter}!mlpack\+::ann\+::\+R\+BF@{mlpack\+::ann\+::\+R\+BF}} \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 parameters. Get the input parameter. Definition at line 98 of file radial\+\_\+basis\+\_\+function.\+hpp. \mbox{\label{classmlpack_1_1ann_1_1RBF_a063c3b1053c7979a7dd2e7bbd2bf1f8a}} \index{mlpack\+::ann\+::\+R\+BF@{mlpack\+::ann\+::\+R\+BF}!Input\+Parameter@{Input\+Parameter}} \index{Input\+Parameter@{Input\+Parameter}!mlpack\+::ann\+::\+R\+BF@{mlpack\+::ann\+::\+R\+BF}} \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 100 of file radial\+\_\+basis\+\_\+function.\+hpp. \mbox{\label{classmlpack_1_1ann_1_1RBF_a5a4c4984aa897a28d516e638e7ea5308}} \index{mlpack\+::ann\+::\+R\+BF@{mlpack\+::ann\+::\+R\+BF}!Input\+Size@{Input\+Size}} \index{Input\+Size@{Input\+Size}!mlpack\+::ann\+::\+R\+BF@{mlpack\+::ann\+::\+R\+BF}} \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 103 of file radial\+\_\+basis\+\_\+function.\+hpp. \mbox{\label{classmlpack_1_1ann_1_1RBF_a0ee21c2a36e5abad1e7a9d5dd00849f9}} \index{mlpack\+::ann\+::\+R\+BF@{mlpack\+::ann\+::\+R\+BF}!Output\+Parameter@{Output\+Parameter}} \index{Output\+Parameter@{Output\+Parameter}!mlpack\+::ann\+::\+R\+BF@{mlpack\+::ann\+::\+R\+BF}} \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 92 of file radial\+\_\+basis\+\_\+function.\+hpp. \mbox{\label{classmlpack_1_1ann_1_1RBF_a21d5f745f02c709625a4ee0907f004a5}} \index{mlpack\+::ann\+::\+R\+BF@{mlpack\+::ann\+::\+R\+BF}!Output\+Parameter@{Output\+Parameter}} \index{Output\+Parameter@{Output\+Parameter}!mlpack\+::ann\+::\+R\+BF@{mlpack\+::ann\+::\+R\+BF}} \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 94 of file radial\+\_\+basis\+\_\+function.\+hpp. \mbox{\label{classmlpack_1_1ann_1_1RBF_a99c1d948c984b9e76fb5e37e2145427a}} \index{mlpack\+::ann\+::\+R\+BF@{mlpack\+::ann\+::\+R\+BF}!Output\+Size@{Output\+Size}} \index{Output\+Size@{Output\+Size}!mlpack\+::ann\+::\+R\+BF@{mlpack\+::ann\+::\+R\+BF}} \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 106 of file radial\+\_\+basis\+\_\+function.\+hpp. \mbox{\label{classmlpack_1_1ann_1_1RBF_af0dd9205158ccf7bcfcd8ff81f79c927}} \index{mlpack\+::ann\+::\+R\+BF@{mlpack\+::ann\+::\+R\+BF}!serialize@{serialize}} \index{serialize@{serialize}!mlpack\+::ann\+::\+R\+BF@{mlpack\+::ann\+::\+R\+BF}} \subsubsection{serialize()} {\footnotesize\ttfamily void serialize (\begin{DoxyParamCaption}\item[{Archive \&}]{ar, }\item[{const unsigned}]{int }\end{DoxyParamCaption})} Serialize the layer. Referenced by R\+B\+F$<$ Input\+Data\+Type, Output\+Data\+Type, Activation $>$\+::\+Delta(). 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{ radial\+\_\+basis\+\_\+function.\+hpp}\end{DoxyCompactItemize}