\section{Normal\+Distribution$<$ Data\+Type $>$ Class Template Reference} \label{classmlpack_1_1ann_1_1NormalDistribution}\index{Normal\+Distribution$<$ Data\+Type $>$@{Normal\+Distribution$<$ Data\+Type $>$}} Implementation of the Normal Distribution function. \subsection*{Public Member Functions} \begin{DoxyCompactItemize} \item \textbf{ Normal\+Distribution} () \begin{DoxyCompactList}\small\item\em Default constructor, which creates a Normal distribution with zero dimension. \end{DoxyCompactList}\item \textbf{ Normal\+Distribution} (const Data\+Type \&mean, const Data\+Type \&sigma) \begin{DoxyCompactList}\small\item\em Create a Normal distribution with the given mean and sigma. \end{DoxyCompactList}\item size\+\_\+t \textbf{ Dimensionality} () const \begin{DoxyCompactList}\small\item\em Return the dimensionality of this distribution. \end{DoxyCompactList}\item Data\+Type \textbf{ Log\+Probability} (const Data\+Type \&observation) const \begin{DoxyCompactList}\small\item\em Return the log probabilities of the given matrix of observations. \end{DoxyCompactList}\item void \textbf{ Log\+Probability} (const Data\+Type \&x, Data\+Type \&probabilities) const \begin{DoxyCompactList}\small\item\em Calculates the log of normal probability density function for each data point (column) in the given matrix. \end{DoxyCompactList}\item const Data\+Type \& \textbf{ Mean} () const \begin{DoxyCompactList}\small\item\em Get the mean. \end{DoxyCompactList}\item Data\+Type \& \textbf{ Mean} () \begin{DoxyCompactList}\small\item\em Modify the mean. \end{DoxyCompactList}\item Data\+Type \textbf{ Probability} (const Data\+Type \&observation) const \begin{DoxyCompactList}\small\item\em Return the probabilities of the given matrix of observations. \end{DoxyCompactList}\item void \textbf{ Probability} (const Data\+Type \&x, Data\+Type \&probabilities) const \begin{DoxyCompactList}\small\item\em Calculates the normal probability density function for each data point (column) in the given matrix. \end{DoxyCompactList}\item void \textbf{ Prob\+Backward} (const Data\+Type \&observation, Data\+Type \&dmu, Data\+Type \&dsigma) const \begin{DoxyCompactList}\small\item\em Stores the gradient of the probabilities of the observations with respect to mean and standard deviation. \end{DoxyCompactList}\item Data\+Type \textbf{ Sample} () const \begin{DoxyCompactList}\small\item\em Return a randomly generated observation according to the probability distribution defined by this object. \end{DoxyCompactList}\item {\footnotesize template$<$typename Archive $>$ }\\void \textbf{ serialize} (Archive \&ar, const unsigned int) \begin{DoxyCompactList}\small\item\em Serialize the distribution. \end{DoxyCompactList}\item const Data\+Type \& \textbf{ Standard\+Deviation} () const \begin{DoxyCompactList}\small\item\em Get the standard deviation. \end{DoxyCompactList}\item Data\+Type \& \textbf{ Standard\+Deviation} () \begin{DoxyCompactList}\small\item\em Modify the standard deviation. \end{DoxyCompactList}\end{DoxyCompactItemize} \subsection{Detailed Description} \subsubsection*{template$<$typename Data\+Type = arma\+::mat$>$\newline class mlpack\+::ann\+::\+Normal\+Distribution$<$ Data\+Type $>$} Implementation of the Normal Distribution function. Normal distribution is a function which accepts a mean and a standard deviation term and creates a probability distribution out of it. \begin{DoxyTemplParams}{Template Parameters} {\em Data\+Type} & Type of the input data. (arma\+::colvec, arma\+::mat, arma\+::sp\+\_\+mat or arma\+::cube). \\ \hline \end{DoxyTemplParams} Definition at line 32 of file normal\+\_\+distribution.\+hpp. \subsection{Constructor \& Destructor Documentation} \mbox{\label{classmlpack_1_1ann_1_1NormalDistribution_ab76c4ca0ad20a2d0e3c22c6a1b707571}} \index{mlpack\+::ann\+::\+Normal\+Distribution@{mlpack\+::ann\+::\+Normal\+Distribution}!Normal\+Distribution@{Normal\+Distribution}} \index{Normal\+Distribution@{Normal\+Distribution}!mlpack\+::ann\+::\+Normal\+Distribution@{mlpack\+::ann\+::\+Normal\+Distribution}} \subsubsection{Normal\+Distribution()\hspace{0.1cm}{\footnotesize\ttfamily [1/2]}} {\footnotesize\ttfamily \textbf{ Normal\+Distribution} (\begin{DoxyParamCaption}{ }\end{DoxyParamCaption})} Default constructor, which creates a Normal distribution with zero dimension. \mbox{\label{classmlpack_1_1ann_1_1NormalDistribution_a7dc8bd49c941fb88043958643d00d6d1}} \index{mlpack\+::ann\+::\+Normal\+Distribution@{mlpack\+::ann\+::\+Normal\+Distribution}!Normal\+Distribution@{Normal\+Distribution}} \index{Normal\+Distribution@{Normal\+Distribution}!mlpack\+::ann\+::\+Normal\+Distribution@{mlpack\+::ann\+::\+Normal\+Distribution}} \subsubsection{Normal\+Distribution()\hspace{0.1cm}{\footnotesize\ttfamily [2/2]}} {\footnotesize\ttfamily \textbf{ Normal\+Distribution} (\begin{DoxyParamCaption}\item[{const Data\+Type \&}]{mean, }\item[{const Data\+Type \&}]{sigma }\end{DoxyParamCaption})} Create a Normal distribution with the given mean and sigma. \begin{DoxyParams}{Parameters} {\em mean} & The mean of the normal distribution. \\ \hline {\em sigma} & The standard deviation of the normal distribution. \\ \hline \end{DoxyParams} \subsection{Member Function Documentation} \mbox{\label{classmlpack_1_1ann_1_1NormalDistribution_a78eda6bfb9e9462afa0fc85e32abe1af}} \index{mlpack\+::ann\+::\+Normal\+Distribution@{mlpack\+::ann\+::\+Normal\+Distribution}!Dimensionality@{Dimensionality}} \index{Dimensionality@{Dimensionality}!mlpack\+::ann\+::\+Normal\+Distribution@{mlpack\+::ann\+::\+Normal\+Distribution}} \subsubsection{Dimensionality()} {\footnotesize\ttfamily size\+\_\+t Dimensionality (\begin{DoxyParamCaption}{ }\end{DoxyParamCaption}) const\hspace{0.3cm}{\ttfamily [inline]}} Return the dimensionality of this distribution. Definition at line 123 of file normal\+\_\+distribution.\+hpp. References Normal\+Distribution$<$ Data\+Type $>$\+::serialize(). \mbox{\label{classmlpack_1_1ann_1_1NormalDistribution_aa02bcee8ddd2603eac9ba925d709fe6e}} \index{mlpack\+::ann\+::\+Normal\+Distribution@{mlpack\+::ann\+::\+Normal\+Distribution}!Log\+Probability@{Log\+Probability}} \index{Log\+Probability@{Log\+Probability}!mlpack\+::ann\+::\+Normal\+Distribution@{mlpack\+::ann\+::\+Normal\+Distribution}} \subsubsection{Log\+Probability()\hspace{0.1cm}{\footnotesize\ttfamily [1/2]}} {\footnotesize\ttfamily Data\+Type Log\+Probability (\begin{DoxyParamCaption}\item[{const Data\+Type \&}]{observation }\end{DoxyParamCaption}) const} Return the log probabilities of the given matrix of observations. \begin{DoxyParams}{Parameters} {\em observation} & The observation matrix. \\ \hline \end{DoxyParams} Referenced by Normal\+Distribution$<$ Data\+Type $>$\+::\+Log\+Probability(), and Normal\+Distribution$<$ Data\+Type $>$\+::\+Probability(). \mbox{\label{classmlpack_1_1ann_1_1NormalDistribution_a206f15b7f10ba5118df1bd6ac31ddf91}} \index{mlpack\+::ann\+::\+Normal\+Distribution@{mlpack\+::ann\+::\+Normal\+Distribution}!Log\+Probability@{Log\+Probability}} \index{Log\+Probability@{Log\+Probability}!mlpack\+::ann\+::\+Normal\+Distribution@{mlpack\+::ann\+::\+Normal\+Distribution}} \subsubsection{Log\+Probability()\hspace{0.1cm}{\footnotesize\ttfamily [2/2]}} {\footnotesize\ttfamily void Log\+Probability (\begin{DoxyParamCaption}\item[{const Data\+Type \&}]{x, }\item[{Data\+Type \&}]{probabilities }\end{DoxyParamCaption}) const\hspace{0.3cm}{\ttfamily [inline]}} Calculates the log of normal probability density function for each data point (column) in the given matrix. \begin{DoxyParams}{Parameters} {\em x} & The observation matrix. \\ \hline {\em probabilities} & Output log probabilities for each input observation. \\ \hline \end{DoxyParams} Definition at line 97 of file normal\+\_\+distribution.\+hpp. References Normal\+Distribution$<$ Data\+Type $>$\+::\+Log\+Probability(), and Normal\+Distribution$<$ Data\+Type $>$\+::\+Sample(). \mbox{\label{classmlpack_1_1ann_1_1NormalDistribution_ad742dbbc903032d3de5036c96942d19c}} \index{mlpack\+::ann\+::\+Normal\+Distribution@{mlpack\+::ann\+::\+Normal\+Distribution}!Mean@{Mean}} \index{Mean@{Mean}!mlpack\+::ann\+::\+Normal\+Distribution@{mlpack\+::ann\+::\+Normal\+Distribution}} \subsubsection{Mean()\hspace{0.1cm}{\footnotesize\ttfamily [1/2]}} {\footnotesize\ttfamily const Data\+Type\& Mean (\begin{DoxyParamCaption}{ }\end{DoxyParamCaption}) const\hspace{0.3cm}{\ttfamily [inline]}} Get the mean. Definition at line 111 of file normal\+\_\+distribution.\+hpp. \mbox{\label{classmlpack_1_1ann_1_1NormalDistribution_ad45f7423a3ba9c77a3a092887709ce59}} \index{mlpack\+::ann\+::\+Normal\+Distribution@{mlpack\+::ann\+::\+Normal\+Distribution}!Mean@{Mean}} \index{Mean@{Mean}!mlpack\+::ann\+::\+Normal\+Distribution@{mlpack\+::ann\+::\+Normal\+Distribution}} \subsubsection{Mean()\hspace{0.1cm}{\footnotesize\ttfamily [2/2]}} {\footnotesize\ttfamily Data\+Type\& Mean (\begin{DoxyParamCaption}{ }\end{DoxyParamCaption})\hspace{0.3cm}{\ttfamily [inline]}} Modify the mean. Definition at line 114 of file normal\+\_\+distribution.\+hpp. \mbox{\label{classmlpack_1_1ann_1_1NormalDistribution_a3e6dc6d5dcfdbaa446afaa6cb87b9e26}} \index{mlpack\+::ann\+::\+Normal\+Distribution@{mlpack\+::ann\+::\+Normal\+Distribution}!Probability@{Probability}} \index{Probability@{Probability}!mlpack\+::ann\+::\+Normal\+Distribution@{mlpack\+::ann\+::\+Normal\+Distribution}} \subsubsection{Probability()\hspace{0.1cm}{\footnotesize\ttfamily [1/2]}} {\footnotesize\ttfamily Data\+Type Probability (\begin{DoxyParamCaption}\item[{const Data\+Type \&}]{observation }\end{DoxyParamCaption}) const\hspace{0.3cm}{\ttfamily [inline]}} Return the probabilities of the given matrix of observations. \begin{DoxyParams}{Parameters} {\em observation} & The observation matrix. \\ \hline \end{DoxyParams} Definition at line 54 of file normal\+\_\+distribution.\+hpp. References Normal\+Distribution$<$ Data\+Type $>$\+::\+Log\+Probability(), and Normal\+Distribution$<$ Data\+Type $>$\+::\+Prob\+Backward(). Referenced by Normal\+Distribution$<$ Data\+Type $>$\+::\+Probability(). \mbox{\label{classmlpack_1_1ann_1_1NormalDistribution_a6512ca09816d0ae2f7edbeffc8f86b8e}} \index{mlpack\+::ann\+::\+Normal\+Distribution@{mlpack\+::ann\+::\+Normal\+Distribution}!Probability@{Probability}} \index{Probability@{Probability}!mlpack\+::ann\+::\+Normal\+Distribution@{mlpack\+::ann\+::\+Normal\+Distribution}} \subsubsection{Probability()\hspace{0.1cm}{\footnotesize\ttfamily [2/2]}} {\footnotesize\ttfamily void Probability (\begin{DoxyParamCaption}\item[{const Data\+Type \&}]{x, }\item[{Data\+Type \&}]{probabilities }\end{DoxyParamCaption}) const\hspace{0.3cm}{\ttfamily [inline]}} Calculates the normal probability density function for each data point (column) in the given matrix. \begin{DoxyParams}{Parameters} {\em x} & The observation matrix. \\ \hline {\em probabilities} & Output probabilities for each input observation. \\ \hline \end{DoxyParams} Definition at line 85 of file normal\+\_\+distribution.\+hpp. References Normal\+Distribution$<$ Data\+Type $>$\+::\+Probability(). \mbox{\label{classmlpack_1_1ann_1_1NormalDistribution_a29775df0ebdfa5da91d4ca3f0fe2543c}} \index{mlpack\+::ann\+::\+Normal\+Distribution@{mlpack\+::ann\+::\+Normal\+Distribution}!Prob\+Backward@{Prob\+Backward}} \index{Prob\+Backward@{Prob\+Backward}!mlpack\+::ann\+::\+Normal\+Distribution@{mlpack\+::ann\+::\+Normal\+Distribution}} \subsubsection{Prob\+Backward()} {\footnotesize\ttfamily void Prob\+Backward (\begin{DoxyParamCaption}\item[{const Data\+Type \&}]{observation, }\item[{Data\+Type \&}]{dmu, }\item[{Data\+Type \&}]{dsigma }\end{DoxyParamCaption}) const} Stores the gradient of the probabilities of the observations with respect to mean and standard deviation. \begin{DoxyParams}{Parameters} {\em observation} & The observation matrix. \\ \hline {\em dmu} & The gradient with respect to mean. \\ \hline {\em dsigma} & The gradient with respect to the standard deviation. \\ \hline \end{DoxyParams} Referenced by Normal\+Distribution$<$ Data\+Type $>$\+::\+Probability(). \mbox{\label{classmlpack_1_1ann_1_1NormalDistribution_a59b1e2962ad6370100f34906d6fddd76}} \index{mlpack\+::ann\+::\+Normal\+Distribution@{mlpack\+::ann\+::\+Normal\+Distribution}!Sample@{Sample}} \index{Sample@{Sample}!mlpack\+::ann\+::\+Normal\+Distribution@{mlpack\+::ann\+::\+Normal\+Distribution}} \subsubsection{Sample()} {\footnotesize\ttfamily Data\+Type Sample (\begin{DoxyParamCaption}{ }\end{DoxyParamCaption}) const} Return a randomly generated observation according to the probability distribution defined by this object. \begin{DoxyReturn}{Returns} Random observation from this Normal distribution. \end{DoxyReturn} Referenced by Normal\+Distribution$<$ Data\+Type $>$\+::\+Log\+Probability(). \mbox{\label{classmlpack_1_1ann_1_1NormalDistribution_af0dd9205158ccf7bcfcd8ff81f79c927}} \index{mlpack\+::ann\+::\+Normal\+Distribution@{mlpack\+::ann\+::\+Normal\+Distribution}!serialize@{serialize}} \index{serialize@{serialize}!mlpack\+::ann\+::\+Normal\+Distribution@{mlpack\+::ann\+::\+Normal\+Distribution}} \subsubsection{serialize()} {\footnotesize\ttfamily void serialize (\begin{DoxyParamCaption}\item[{Archive \&}]{ar, }\item[{const unsigned}]{int }\end{DoxyParamCaption})} Serialize the distribution. Referenced by Normal\+Distribution$<$ Data\+Type $>$\+::\+Dimensionality(). \mbox{\label{classmlpack_1_1ann_1_1NormalDistribution_aa16e7499e9ec471a276dfcad209c4262}} \index{mlpack\+::ann\+::\+Normal\+Distribution@{mlpack\+::ann\+::\+Normal\+Distribution}!Standard\+Deviation@{Standard\+Deviation}} \index{Standard\+Deviation@{Standard\+Deviation}!mlpack\+::ann\+::\+Normal\+Distribution@{mlpack\+::ann\+::\+Normal\+Distribution}} \subsubsection{Standard\+Deviation()\hspace{0.1cm}{\footnotesize\ttfamily [1/2]}} {\footnotesize\ttfamily const Data\+Type\& Standard\+Deviation (\begin{DoxyParamCaption}{ }\end{DoxyParamCaption}) const\hspace{0.3cm}{\ttfamily [inline]}} Get the standard deviation. Definition at line 117 of file normal\+\_\+distribution.\+hpp. \mbox{\label{classmlpack_1_1ann_1_1NormalDistribution_afdbf13414be377e6b3520205f87f5090}} \index{mlpack\+::ann\+::\+Normal\+Distribution@{mlpack\+::ann\+::\+Normal\+Distribution}!Standard\+Deviation@{Standard\+Deviation}} \index{Standard\+Deviation@{Standard\+Deviation}!mlpack\+::ann\+::\+Normal\+Distribution@{mlpack\+::ann\+::\+Normal\+Distribution}} \subsubsection{Standard\+Deviation()\hspace{0.1cm}{\footnotesize\ttfamily [2/2]}} {\footnotesize\ttfamily Data\+Type\& Standard\+Deviation (\begin{DoxyParamCaption}{ }\end{DoxyParamCaption})\hspace{0.3cm}{\ttfamily [inline]}} Modify the standard deviation. Definition at line 120 of file normal\+\_\+distribution.\+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.\+2/src/mlpack/methods/ann/dists/\textbf{ normal\+\_\+distribution.\+hpp}\end{DoxyCompactItemize}