\section*{Outline}
FIXME: REMOVE ME!
\begin{enumerate}
    \item[abstract] (Glenn)
    \begin{enumerate}
        \item Introduce magnitude to the ML community
        \item Turns out that magnitude machinery can be used for boundary detection
        \item We can use it for classification
        \item Active learning for magnitude 
    \end{enumerate}
    \item[intro] (Dan, Eric, Jeff)
    \begin{enumerate}
        \item Intro to magnitude
        \begin{enumerate}
            \item history
            \item well-defined in arbitrary metric spaces. Could be applied to graphs.
            \item our focus is on Euclidean spaces
            \item connection to persistent homology
        \end{enumerate}
        \item Intro using magnitude for b,c,d from abstract (Dan, Glenn, Jeff)
        \item rest of the paper outline (Glenn)
    \end{enumerate}
    \item Interesting properties of magnitude
    \begin{enumerate}
        \item boundary detection (Jeff)
        \item Inclusion/exclusion (Eric)
        \item numerical considerations (schur complement) (Eric)
    \end{enumerate}
    \item Magnitude as a classifier (Dan)
    \begin{enumerate}
        \item define a classification task
        \item set up for the algorithm using magnitude
        \item algorithm
    \end{enumerate}
    \item  Magnitude for active learning (Glenn)
    \begin{enumerate}
        \item define active learning
        \item set up for magnitude for active learning
        \item algorithm
        \item cite Shur complement section
    \end{enumerate}
    \item Experiments on data sets (Dan, Eric)
    \begin{enumerate}
        \item classification; compare to other classification algorithms
        \item active learning; compare to random, uncertainty sampling; linear kernel
    \end{enumerate}
    \item conclusions and future work (Glenn, *)
\end{enumerate}
{"config": "arxiv", "file": "2006.14063/outline.tex"}