
\begin{table*}[t!] 
\centering
\fontsize{9pt}{9pt}\selectfont
\caption{Comparison of our $\mathsf{NC}_{100}$ with baselines in selecting reliable backbones among those pre-trained by three algorithms (SimCLR, BYOL, and MOCO) on the $\texttt{TinyImagenet}$ dataset. For each test point within the $\texttt{CIFAR-10}$, $\texttt{CIFAR-100}$, and $\texttt{STL-10}$ datasets, we calculate \kendall to evaluate the correlation between the rankings given by each method and the rankings given by the actual downstream performance.}

\setlength{\tabcolsep}{4pt}
\renewcommand{\arraystretch}{1.1}
\begin{tabular}{c|cccccc|cccccc}
\toprule
\multirow{4}{*}{Method} & \multicolumn{6}{c|}{ResNet-18} & \multicolumn{6}{c}{ResNet-50}  \\  \cline{2-13} 
 & \multicolumn{6}{c|}{$\texttt{TinyImagenet} \rightarrow$} & \multicolumn{6}{c}{$\texttt{TinyImagenet} \rightarrow$} \\
 & \multicolumn{2}{c}{\texttt{CIFAR-10}}  & \multicolumn{2}{c}{\texttt{CIFAR-100}} & \multicolumn{2}{c|}{\texttt{STL-10}} & \multicolumn{2}{c}{\texttt{CIFAR-10}}  & \multicolumn{2}{c}{\texttt{CIFAR-100}} & \multicolumn{2}{c}{\texttt{STL-10}} \\
 & Entropy  & Brier & Entropy & Brier & Entropy  & Brier & Entropy & Brier & Entropy  & Brier & Entropy  & Brier \\
\midrule
$\mathsf{NC}_{100}$ & \underline{0.4841} & \underline{0.4625} & \underline{0.4211} & \underline{0.4199} & \underline{0.2342} & \underline{0.3073} & \bf 0.5051 & \bf 0.5089 & \bf 0.4865 & \bf 0.4912 & \bf 0.4512 & \bf 0.4385 \\
$\amone$ & -0.3328 & -0.3621 & -0.2863 & -0.3364 & -0.0457 & -0.1729 & -0.3552 & -0.4181 & -0.3196 & -0.3869 & -0.2162 & -0.2719 \\
$\mathsf{Norm}$ & -0.3199 & -0.3543 & -0.2619 & -0.3198 & -0.0342 & -0.1654 & -0.3543 & -0.4175 & -0.3172 & -0.3851 & -0.2154 & -0.2712 \\
$\mathsf{LL}$ & -0.3259 & -0.3575 & -0.2776 & -0.3296 & -0.0430 & -0.1692 & -0.3615 & -0.4220 & -0.3333 & -0.3963 & -0.2228 & -0.2764 \\
$\mathsf{FV}$ & \bf 0.8988 & \bf 0.7348 & \bf 0.8321 & \bf 0.6624 & \bf 0.7027 & \bf 0.6186 & \underline{0.3568} & \underline{0.2891} & \underline{0.2207} & \underline{0.1468} & \underline{0.2738} & \underline{0.2130} \\
\bottomrule
\end{tabular}
\label{tab:select}
\end{table*}
