\section{Regression\+Distribution Class Reference} \label{classmlpack_1_1distribution_1_1RegressionDistribution}\index{Regression\+Distribution@{Regression\+Distribution}} A class that represents a univariate conditionally Gaussian distribution. \subsection*{Public Member Functions} \begin{DoxyCompactItemize} \item \textbf{ Regression\+Distribution} () \begin{DoxyCompactList}\small\item\em Default constructor, which creates a Gaussian with zero dimension. \end{DoxyCompactList}\item \textbf{ mlpack\+\_\+deprecated} \textbf{ Regression\+Distribution} (const arma\+::mat \&predictors, const arma\+::vec \&responses) \begin{DoxyCompactList}\small\item\em Create a Conditional Gaussian distribution with conditional mean function obtained by running Regression\+Function on predictors, responses. \end{DoxyCompactList}\item \textbf{ Regression\+Distribution} (const arma\+::mat \&predictors, const arma\+::rowvec \&responses) \begin{DoxyCompactList}\small\item\em Create a Conditional Gaussian distribution with conditional mean function obtained by running Regression\+Function on predictors, responses. \end{DoxyCompactList}\item size\+\_\+t \textbf{ Dimensionality} () const \begin{DoxyCompactList}\small\item\em Return the dimensionality. \end{DoxyCompactList}\item const \textbf{ Gaussian\+Distribution} \& \textbf{ Err} () const \begin{DoxyCompactList}\small\item\em Return error distribution. \end{DoxyCompactList}\item \textbf{ Gaussian\+Distribution} \& \textbf{ Err} () \begin{DoxyCompactList}\small\item\em Modify error distribution. \end{DoxyCompactList}\item double \textbf{ Log\+Probability} (const arma\+::vec \&observation) const \begin{DoxyCompactList}\small\item\em Evaluate log probability density function of given observation. \end{DoxyCompactList}\item const arma\+::vec \& \textbf{ Parameters} () const \begin{DoxyCompactList}\small\item\em Return the parameters (the b vector). \end{DoxyCompactList}\item \textbf{ mlpack\+\_\+deprecated} void \textbf{ Predict} (const arma\+::mat \&points, arma\+::vec \&predictions) const \begin{DoxyCompactList}\small\item\em Calculate y\+\_\+i for each data point in points. \end{DoxyCompactList}\item void \textbf{ Predict} (const arma\+::mat \&points, arma\+::rowvec \&predictions) const \begin{DoxyCompactList}\small\item\em Calculate y\+\_\+i for each data point in points. \end{DoxyCompactList}\item double \textbf{ Probability} (const arma\+::vec \&observation) const \begin{DoxyCompactList}\small\item\em Evaluate probability density function of given observation. \end{DoxyCompactList}\item const \textbf{ regression\+::\+Linear\+Regression} \& \textbf{ Rf} () const \begin{DoxyCompactList}\small\item\em Return regression function. \end{DoxyCompactList}\item \textbf{ regression\+::\+Linear\+Regression} \& \textbf{ Rf} () \begin{DoxyCompactList}\small\item\em Modify regression function. \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 void \textbf{ Train} (const arma\+::mat \&observations) \begin{DoxyCompactList}\small\item\em Estimate the Gaussian distribution directly from the given observations. \end{DoxyCompactList}\item \textbf{ mlpack\+\_\+deprecated} void \textbf{ Train} (const arma\+::mat \&observations, const arma\+::vec \&weights) \begin{DoxyCompactList}\small\item\em Estimate parameters using provided observation weights. \end{DoxyCompactList}\item void \textbf{ Train} (const arma\+::mat \&observations, const arma\+::rowvec \&weights) \begin{DoxyCompactList}\small\item\em Estimate parameters using provided observation weights. \end{DoxyCompactList}\end{DoxyCompactItemize} \subsection{Detailed Description} A class that represents a univariate conditionally Gaussian distribution. Can be used as an emission distribution with the hmm class to implement H\+MM regression (H\+M\+MR) as described in {\tt https\+://www.\+ima.\+umn.\+edu/preprints/\+January1994/1195.\+pdf} The hmm observations should have the dependent variable in the first row, with the independent variables in the other rows. Definition at line 31 of file regression\+\_\+distribution.\+hpp. \subsection{Constructor \& Destructor Documentation} \mbox{\label{classmlpack_1_1distribution_1_1RegressionDistribution_a35b6f6f5aa1bf97a1ca8e8774b6e94c8}} \index{mlpack\+::distribution\+::\+Regression\+Distribution@{mlpack\+::distribution\+::\+Regression\+Distribution}!Regression\+Distribution@{Regression\+Distribution}} \index{Regression\+Distribution@{Regression\+Distribution}!mlpack\+::distribution\+::\+Regression\+Distribution@{mlpack\+::distribution\+::\+Regression\+Distribution}} \subsubsection{Regression\+Distribution()\hspace{0.1cm}{\footnotesize\ttfamily [1/3]}} {\footnotesize\ttfamily \textbf{ Regression\+Distribution} (\begin{DoxyParamCaption}{ }\end{DoxyParamCaption})\hspace{0.3cm}{\ttfamily [inline]}} Default constructor, which creates a Gaussian with zero dimension. Definition at line 43 of file regression\+\_\+distribution.\+hpp. \mbox{\label{classmlpack_1_1distribution_1_1RegressionDistribution_aed168e6d1511a69840c678b30808e330}} \index{mlpack\+::distribution\+::\+Regression\+Distribution@{mlpack\+::distribution\+::\+Regression\+Distribution}!Regression\+Distribution@{Regression\+Distribution}} \index{Regression\+Distribution@{Regression\+Distribution}!mlpack\+::distribution\+::\+Regression\+Distribution@{mlpack\+::distribution\+::\+Regression\+Distribution}} \subsubsection{Regression\+Distribution()\hspace{0.1cm}{\footnotesize\ttfamily [2/3]}} {\footnotesize\ttfamily \textbf{ mlpack\+\_\+deprecated} \textbf{ Regression\+Distribution} (\begin{DoxyParamCaption}\item[{const arma\+::mat \&}]{predictors, }\item[{const arma\+::vec \&}]{responses }\end{DoxyParamCaption})\hspace{0.3cm}{\ttfamily [inline]}} Create a Conditional Gaussian distribution with conditional mean function obtained by running Regression\+Function on predictors, responses. \begin{DoxyParams}{Parameters} {\em predictors} & Matrix of predictors (X). \\ \hline {\em responses} & Vector of responses (y). \\ \hline \end{DoxyParams} Definition at line 52 of file regression\+\_\+distribution.\+hpp. \mbox{\label{classmlpack_1_1distribution_1_1RegressionDistribution_ab3b28892023bf3c2fcef499daf168615}} \index{mlpack\+::distribution\+::\+Regression\+Distribution@{mlpack\+::distribution\+::\+Regression\+Distribution}!Regression\+Distribution@{Regression\+Distribution}} \index{Regression\+Distribution@{Regression\+Distribution}!mlpack\+::distribution\+::\+Regression\+Distribution@{mlpack\+::distribution\+::\+Regression\+Distribution}} \subsubsection{Regression\+Distribution()\hspace{0.1cm}{\footnotesize\ttfamily [3/3]}} {\footnotesize\ttfamily \textbf{ Regression\+Distribution} (\begin{DoxyParamCaption}\item[{const arma\+::mat \&}]{predictors, }\item[{const arma\+::rowvec \&}]{responses }\end{DoxyParamCaption})\hspace{0.3cm}{\ttfamily [inline]}} Create a Conditional Gaussian distribution with conditional mean function obtained by running Regression\+Function on predictors, responses. \begin{DoxyParams}{Parameters} {\em predictors} & Matrix of predictors (X). \\ \hline {\em responses} & Vector of responses (y). \\ \hline \end{DoxyParams} Definition at line 64 of file regression\+\_\+distribution.\+hpp. References Linear\+Regression\+::\+Compute\+Error(), Gaussian\+Distribution\+::\+Covariance(), and Linear\+Regression\+::\+Train(). \subsection{Member Function Documentation} \mbox{\label{classmlpack_1_1distribution_1_1RegressionDistribution_a78eda6bfb9e9462afa0fc85e32abe1af}} \index{mlpack\+::distribution\+::\+Regression\+Distribution@{mlpack\+::distribution\+::\+Regression\+Distribution}!Dimensionality@{Dimensionality}} \index{Dimensionality@{Dimensionality}!mlpack\+::distribution\+::\+Regression\+Distribution@{mlpack\+::distribution\+::\+Regression\+Distribution}} \subsubsection{Dimensionality()} {\footnotesize\ttfamily size\+\_\+t Dimensionality (\begin{DoxyParamCaption}{ }\end{DoxyParamCaption}) const\hspace{0.3cm}{\ttfamily [inline]}} Return the dimensionality. Definition at line 156 of file regression\+\_\+distribution.\+hpp. References Linear\+Regression\+::\+Parameters(). \mbox{\label{classmlpack_1_1distribution_1_1RegressionDistribution_a969cf44cad4d33cfb943d1a92c22c954}} \index{mlpack\+::distribution\+::\+Regression\+Distribution@{mlpack\+::distribution\+::\+Regression\+Distribution}!Err@{Err}} \index{Err@{Err}!mlpack\+::distribution\+::\+Regression\+Distribution@{mlpack\+::distribution\+::\+Regression\+Distribution}} \subsubsection{Err()\hspace{0.1cm}{\footnotesize\ttfamily [1/2]}} {\footnotesize\ttfamily const \textbf{ Gaussian\+Distribution}\& Err (\begin{DoxyParamCaption}{ }\end{DoxyParamCaption}) const\hspace{0.3cm}{\ttfamily [inline]}} Return error distribution. Definition at line 90 of file regression\+\_\+distribution.\+hpp. \mbox{\label{classmlpack_1_1distribution_1_1RegressionDistribution_a4933252a4d34e072caec0911bcc26019}} \index{mlpack\+::distribution\+::\+Regression\+Distribution@{mlpack\+::distribution\+::\+Regression\+Distribution}!Err@{Err}} \index{Err@{Err}!mlpack\+::distribution\+::\+Regression\+Distribution@{mlpack\+::distribution\+::\+Regression\+Distribution}} \subsubsection{Err()\hspace{0.1cm}{\footnotesize\ttfamily [2/2]}} {\footnotesize\ttfamily \textbf{ Gaussian\+Distribution}\& Err (\begin{DoxyParamCaption}{ }\end{DoxyParamCaption})\hspace{0.3cm}{\ttfamily [inline]}} Modify error distribution. Definition at line 92 of file regression\+\_\+distribution.\+hpp. References mlpack\+\_\+deprecated, Regression\+Distribution\+::\+Probability(), and Regression\+Distribution\+::\+Train(). \mbox{\label{classmlpack_1_1distribution_1_1RegressionDistribution_a7063c1fb92f512f32bf44542c7528739}} \index{mlpack\+::distribution\+::\+Regression\+Distribution@{mlpack\+::distribution\+::\+Regression\+Distribution}!Log\+Probability@{Log\+Probability}} \index{Log\+Probability@{Log\+Probability}!mlpack\+::distribution\+::\+Regression\+Distribution@{mlpack\+::distribution\+::\+Regression\+Distribution}} \subsubsection{Log\+Probability()} {\footnotesize\ttfamily double Log\+Probability (\begin{DoxyParamCaption}\item[{const arma\+::vec \&}]{observation }\end{DoxyParamCaption}) const\hspace{0.3cm}{\ttfamily [inline]}} Evaluate log probability density function of given observation. \begin{DoxyParams}{Parameters} {\em observation} & Point to evaluate log probability at. \\ \hline \end{DoxyParams} Definition at line 130 of file regression\+\_\+distribution.\+hpp. References mlpack\+\_\+deprecated, Regression\+Distribution\+::\+Predict(), and Regression\+Distribution\+::\+Probability(). \mbox{\label{classmlpack_1_1distribution_1_1RegressionDistribution_a6a67e9b83bb8f0ea6122efcc5f75927c}} \index{mlpack\+::distribution\+::\+Regression\+Distribution@{mlpack\+::distribution\+::\+Regression\+Distribution}!Parameters@{Parameters}} \index{Parameters@{Parameters}!mlpack\+::distribution\+::\+Regression\+Distribution@{mlpack\+::distribution\+::\+Regression\+Distribution}} \subsubsection{Parameters()} {\footnotesize\ttfamily const arma\+::vec\& Parameters (\begin{DoxyParamCaption}{ }\end{DoxyParamCaption}) const\hspace{0.3cm}{\ttfamily [inline]}} Return the parameters (the b vector). Definition at line 153 of file regression\+\_\+distribution.\+hpp. References Linear\+Regression\+::\+Parameters(). \mbox{\label{classmlpack_1_1distribution_1_1RegressionDistribution_a9a40c040f420186809390bdce9c8689a}} \index{mlpack\+::distribution\+::\+Regression\+Distribution@{mlpack\+::distribution\+::\+Regression\+Distribution}!Predict@{Predict}} \index{Predict@{Predict}!mlpack\+::distribution\+::\+Regression\+Distribution@{mlpack\+::distribution\+::\+Regression\+Distribution}} \subsubsection{Predict()\hspace{0.1cm}{\footnotesize\ttfamily [1/2]}} {\footnotesize\ttfamily \textbf{ mlpack\+\_\+deprecated} void Predict (\begin{DoxyParamCaption}\item[{const arma\+::mat \&}]{points, }\item[{arma\+::vec \&}]{predictions }\end{DoxyParamCaption}) const} Calculate y\+\_\+i for each data point in points. \begin{DoxyParams}{Parameters} {\em points} & The data points to calculate with. \\ \hline {\em predictions} & Y, will contain calculated values on completion. \\ \hline \end{DoxyParams} Referenced by Regression\+Distribution\+::\+Log\+Probability(). \mbox{\label{classmlpack_1_1distribution_1_1RegressionDistribution_a71e5e21b1d92756979b32face7b3c573}} \index{mlpack\+::distribution\+::\+Regression\+Distribution@{mlpack\+::distribution\+::\+Regression\+Distribution}!Predict@{Predict}} \index{Predict@{Predict}!mlpack\+::distribution\+::\+Regression\+Distribution@{mlpack\+::distribution\+::\+Regression\+Distribution}} \subsubsection{Predict()\hspace{0.1cm}{\footnotesize\ttfamily [2/2]}} {\footnotesize\ttfamily void Predict (\begin{DoxyParamCaption}\item[{const arma\+::mat \&}]{points, }\item[{arma\+::rowvec \&}]{predictions }\end{DoxyParamCaption}) const} Calculate y\+\_\+i for each data point in points. \begin{DoxyParams}{Parameters} {\em points} & The data points to calculate with. \\ \hline {\em predictions} & Y, will contain calculated values on completion. \\ \hline \end{DoxyParams} \mbox{\label{classmlpack_1_1distribution_1_1RegressionDistribution_ab72935d592516e77511d0b5e703c0d41}} \index{mlpack\+::distribution\+::\+Regression\+Distribution@{mlpack\+::distribution\+::\+Regression\+Distribution}!Probability@{Probability}} \index{Probability@{Probability}!mlpack\+::distribution\+::\+Regression\+Distribution@{mlpack\+::distribution\+::\+Regression\+Distribution}} \subsubsection{Probability()} {\footnotesize\ttfamily double Probability (\begin{DoxyParamCaption}\item[{const arma\+::vec \&}]{observation }\end{DoxyParamCaption}) const} Evaluate probability density function of given observation. \begin{DoxyParams}{Parameters} {\em observation} & Point to evaluate probability at. \\ \hline \end{DoxyParams} Referenced by Regression\+Distribution\+::\+Err(), and Regression\+Distribution\+::\+Log\+Probability(). \mbox{\label{classmlpack_1_1distribution_1_1RegressionDistribution_a46202caa2b47a86d7cbf42e22c9611cf}} \index{mlpack\+::distribution\+::\+Regression\+Distribution@{mlpack\+::distribution\+::\+Regression\+Distribution}!Rf@{Rf}} \index{Rf@{Rf}!mlpack\+::distribution\+::\+Regression\+Distribution@{mlpack\+::distribution\+::\+Regression\+Distribution}} \subsubsection{Rf()\hspace{0.1cm}{\footnotesize\ttfamily [1/2]}} {\footnotesize\ttfamily const \textbf{ regression\+::\+Linear\+Regression}\& Rf (\begin{DoxyParamCaption}{ }\end{DoxyParamCaption}) const\hspace{0.3cm}{\ttfamily [inline]}} Return regression function. Definition at line 85 of file regression\+\_\+distribution.\+hpp. \mbox{\label{classmlpack_1_1distribution_1_1RegressionDistribution_a4c492b87b66f72b328b07978eeb1ec26}} \index{mlpack\+::distribution\+::\+Regression\+Distribution@{mlpack\+::distribution\+::\+Regression\+Distribution}!Rf@{Rf}} \index{Rf@{Rf}!mlpack\+::distribution\+::\+Regression\+Distribution@{mlpack\+::distribution\+::\+Regression\+Distribution}} \subsubsection{Rf()\hspace{0.1cm}{\footnotesize\ttfamily [2/2]}} {\footnotesize\ttfamily \textbf{ regression\+::\+Linear\+Regression}\& Rf (\begin{DoxyParamCaption}{ }\end{DoxyParamCaption})\hspace{0.3cm}{\ttfamily [inline]}} Modify regression function. Definition at line 87 of file regression\+\_\+distribution.\+hpp. \mbox{\label{classmlpack_1_1distribution_1_1RegressionDistribution_af0dd9205158ccf7bcfcd8ff81f79c927}} \index{mlpack\+::distribution\+::\+Regression\+Distribution@{mlpack\+::distribution\+::\+Regression\+Distribution}!serialize@{serialize}} \index{serialize@{serialize}!mlpack\+::distribution\+::\+Regression\+Distribution@{mlpack\+::distribution\+::\+Regression\+Distribution}} \subsubsection{serialize()} {\footnotesize\ttfamily void serialize (\begin{DoxyParamCaption}\item[{Archive \&}]{ar, }\item[{const unsigned}]{int }\end{DoxyParamCaption})\hspace{0.3cm}{\ttfamily [inline]}} Serialize the distribution. Definition at line 78 of file regression\+\_\+distribution.\+hpp. \mbox{\label{classmlpack_1_1distribution_1_1RegressionDistribution_a269c6f8a40ce41a5f7b6d035aef58238}} \index{mlpack\+::distribution\+::\+Regression\+Distribution@{mlpack\+::distribution\+::\+Regression\+Distribution}!Train@{Train}} \index{Train@{Train}!mlpack\+::distribution\+::\+Regression\+Distribution@{mlpack\+::distribution\+::\+Regression\+Distribution}} \subsubsection{Train()\hspace{0.1cm}{\footnotesize\ttfamily [1/3]}} {\footnotesize\ttfamily void Train (\begin{DoxyParamCaption}\item[{const arma\+::mat \&}]{observations }\end{DoxyParamCaption})} Estimate the Gaussian distribution directly from the given observations. \begin{DoxyParams}{Parameters} {\em observations} & List of observations. \\ \hline \end{DoxyParams} Referenced by Regression\+Distribution\+::\+Err(). \mbox{\label{classmlpack_1_1distribution_1_1RegressionDistribution_a5897c02064b5eb7822af7bd795fe42fb}} \index{mlpack\+::distribution\+::\+Regression\+Distribution@{mlpack\+::distribution\+::\+Regression\+Distribution}!Train@{Train}} \index{Train@{Train}!mlpack\+::distribution\+::\+Regression\+Distribution@{mlpack\+::distribution\+::\+Regression\+Distribution}} \subsubsection{Train()\hspace{0.1cm}{\footnotesize\ttfamily [2/3]}} {\footnotesize\ttfamily \textbf{ mlpack\+\_\+deprecated} void Train (\begin{DoxyParamCaption}\item[{const arma\+::mat \&}]{observations, }\item[{const arma\+::vec \&}]{weights }\end{DoxyParamCaption})} Estimate parameters using provided observation weights. \begin{DoxyParams}{Parameters} {\em observations} & List of observations. \\ \hline {\em weights} & Probability that given observation is from distribution. \\ \hline \end{DoxyParams} \mbox{\label{classmlpack_1_1distribution_1_1RegressionDistribution_ad92c15115a850f977b39368b171e961e}} \index{mlpack\+::distribution\+::\+Regression\+Distribution@{mlpack\+::distribution\+::\+Regression\+Distribution}!Train@{Train}} \index{Train@{Train}!mlpack\+::distribution\+::\+Regression\+Distribution@{mlpack\+::distribution\+::\+Regression\+Distribution}} \subsubsection{Train()\hspace{0.1cm}{\footnotesize\ttfamily [3/3]}} {\footnotesize\ttfamily void Train (\begin{DoxyParamCaption}\item[{const arma\+::mat \&}]{observations, }\item[{const arma\+::rowvec \&}]{weights }\end{DoxyParamCaption})} Estimate parameters using provided observation weights. \begin{DoxyParams}{Parameters} {\em observations} & List of observations. \\ \hline {\em weights} & Probability that given observation is from distribution. \\ \hline \end{DoxyParams} The documentation for this class was generated from the following file\+:\begin{DoxyCompactItemize} \item /var/www/mlpack.\+ratml.\+org/mlpack.\+org/\+\_\+src/mlpack-\/git/src/mlpack/core/dists/\textbf{ regression\+\_\+distribution.\+hpp}\end{DoxyCompactItemize}