% Generated by roxygen2: do not edit by hand
% Please edit documentation in R/MeasureSimple.R
\name{mlr_measures_classif.mauc_au1p}
\alias{mlr_measures_classif.mauc_au1p}
\title{Multiclass AUC Scores}
\description{
Measure to compare true observed labels with predicted
probabilities
in multiclass classification tasks.
}
\details{
Multiclass AUC measures.
\itemize{
\item \emph{AUNU}: AUC of each class against the rest, using the uniform class
distribution. Computes the AUC treating a \code{c}-dimensional classifier
as \code{c} two-dimensional 1-vs-rest classifiers, where classes are assumed to have
uniform distribution, in order to have a measure which is independent
of class distribution change (Fawcett 2001).
\item \emph{AUNP}: AUC of each class against the rest, using the a-priori class
distribution. Computes the AUC treating a \code{c}-dimensional classifier as \code{c}
two-dimensional 1-vs-rest classifiers, taking into account the prior probability of
each class (Fawcett 2001).
\item \emph{AU1U}: AUC of each class against each other, using the uniform class
distribution. Computes something like the AUC of \code{c(c - 1)} binary classifiers
(all possible pairwise combinations). See Hand (2001) for details.
\item \emph{AU1P}: AUC of each class against each other, using the a-priori class
distribution. Computes something like AUC of \code{c(c - 1)} binary classifiers
while considering the a-priori distribution of the classes as suggested
in Ferri (2009). Note we deviate from the definition in
Ferri (2009) by a factor of \code{c}.
\item \emph{MU}: Multiclass AUC as defined in Kleinman and Page (2019).
This measure is an average of the pairwise AUCs between all classes.
The measure was tested against the Python implementation by \href{https://github.com/kleimanr/auc_mu}{Ross Kleinman}.
}
}
\note{
The score function calls \code{\link[mlr3measures:mauc_aunu]{mlr3measures::mauc_au1p()}} from package \CRANpkg{mlr3measures}.

If the measure is undefined for the input, \code{NaN} is returned.
This can be customized by setting the field \code{na_value}.
}
\section{Dictionary}{

This \link{Measure} can be instantiated via the \link[mlr3misc:Dictionary]{dictionary} \link{mlr_measures} or with the associated sugar function \code{\link[=msr]{msr()}}:

\if{html}{\out{<div class="sourceCode">}}\preformatted{mlr_measures$get("classif.mauc_au1p")
msr("classif.mauc_au1p")
}\if{html}{\out{</div>}}
}

\section{Parameters}{

Empty ParamSet
}

\section{Meta Information}{


\itemize{
\item Type: \code{"classif"}
\item Range: \eqn{[0, 1]}{[0, 1]}
\item Minimize: \code{FALSE}
\item Required prediction: \code{prob}
}

}

\seealso{
\link[mlr3misc:Dictionary]{Dictionary} of \link[=Measure]{Measures}: \link{mlr_measures}

\code{as.data.table(mlr_measures)} for a complete table of all (also dynamically created) \link{Measure} implementations.

Other classification measures: 
\code{\link{mlr_measures_classif.acc}},
\code{\link{mlr_measures_classif.auc}},
\code{\link{mlr_measures_classif.bacc}},
\code{\link{mlr_measures_classif.bbrier}},
\code{\link{mlr_measures_classif.ce}},
\code{\link{mlr_measures_classif.costs}},
\code{\link{mlr_measures_classif.dor}},
\code{\link{mlr_measures_classif.fbeta}},
\code{\link{mlr_measures_classif.fdr}},
\code{\link{mlr_measures_classif.fn}},
\code{\link{mlr_measures_classif.fnr}},
\code{\link{mlr_measures_classif.fomr}},
\code{\link{mlr_measures_classif.fp}},
\code{\link{mlr_measures_classif.fpr}},
\code{\link{mlr_measures_classif.logloss}},
\code{\link{mlr_measures_classif.mauc_au1u}},
\code{\link{mlr_measures_classif.mauc_aunp}},
\code{\link{mlr_measures_classif.mauc_aunu}},
\code{\link{mlr_measures_classif.mauc_mu}},
\code{\link{mlr_measures_classif.mbrier}},
\code{\link{mlr_measures_classif.mcc}},
\code{\link{mlr_measures_classif.npv}},
\code{\link{mlr_measures_classif.ppv}},
\code{\link{mlr_measures_classif.prauc}},
\code{\link{mlr_measures_classif.precision}},
\code{\link{mlr_measures_classif.recall}},
\code{\link{mlr_measures_classif.sensitivity}},
\code{\link{mlr_measures_classif.specificity}},
\code{\link{mlr_measures_classif.tn}},
\code{\link{mlr_measures_classif.tnr}},
\code{\link{mlr_measures_classif.tp}},
\code{\link{mlr_measures_classif.tpr}}

Other multiclass classification measures: 
\code{\link{mlr_measures_classif.acc}},
\code{\link{mlr_measures_classif.bacc}},
\code{\link{mlr_measures_classif.ce}},
\code{\link{mlr_measures_classif.costs}},
\code{\link{mlr_measures_classif.logloss}},
\code{\link{mlr_measures_classif.mauc_au1u}},
\code{\link{mlr_measures_classif.mauc_aunp}},
\code{\link{mlr_measures_classif.mauc_aunu}},
\code{\link{mlr_measures_classif.mauc_mu}},
\code{\link{mlr_measures_classif.mbrier}},
\code{\link{mlr_measures_classif.mcc}}
}
\concept{classification measures}
\concept{multiclass classification measures}
