\begin{table}[th]
    \centering
    \caption{Lexicon for the name of the metrics used in experiments. The accronyms are taken from the permetrics library~\citep{thieu_permetrics_2024}. Scores marked with an asterisk were re-implemented.}
    \label{tab:benchmark_lexicon}
    \begin{tabular}{lll}
        \toprule
        Short Name & Name & Reference \\
        \midrule
        AARI& Average ARI & -\\
        ANMI & Average NMI & \citealp{strehl_cluster_2002}\\
        BHI & Ball-Hall index & \citealp{ball_isodata_1965}\\
        %BI & Beale index & \citealp{beale_euclidean_1969}\\
        BRI & Banfield-Raftery index & \citealp{banfield_model-based_1993}\\
        CHI & Calinski-Harabasz index&\citealp{calinski_dendrite_1974}\\
        CI\textsuperscript{*} & C-index & \citealp{hubert_quadratic_1976}\\
        %DBCVI & Density-based clustering validity index & -\\
        DBI& Davies-Bouldin index&\citealp{davies_cluster_1979} \\
        DHI& Duda-Hart index &\citealp{duda_pattern_1974} \\
        DI\textsuperscript{*}&Dunn index&\citealp{dunn_well-separated_1974} \\
        DRI&Det-ratio index &\citealp{scott_clustering_1971} \\
        HI&Hartigan index&\citealp{hartigan_clustering_1975} \\
        KDI&K squared determinant index&\citealp{marriott_practical_1971} \\
        LDRI&Log det ratio&\citealp{scott_clustering_1971} \\
        LSRI&Log sum of squared error&-\\
        %MSEI & Mean squared error&-\\
        McRao\textsuperscript{*}& McClain-Rao index&\citealp{mcclain_clustisz_1975}\\
        PBM\textsuperscript{*}&Pakhira-Bandyopadhyay-Maulik index&\citealp{pakhira_validity_2004}\\
        %RSI&R squared index&-\\
        SI&Silhouette index&\citealp{rousseeuw_silhouettes_1987}\\
        WGSS&Within-group sum of squares&\citealp{edwards_method_1965}\\
        XBI&Xie-Beni index& \citealp{xie_validity_1991}\\
        WG\textsuperscript{*}& Wermmert-Gancarski index&\citealp{desgraupes_clustering_2013}\\
        \bottomrule
    \end{tabular}
\end{table}