























% \begin{table*}[t]

%  \centering
%  \resizebox{\textwidth}{!}{
%  \begin{tabular}{c|cc|cc|cc|cc|cc|cc}
%   \toprule
%   \multirow{2} * {\makebox[0.005\textwidth][c]{Model}} & 
% \multicolumn{2}{c|}{\makebox[0.1\textwidth][c]{$\rho=-3$}} &
% \multicolumn{2}{c|}{\makebox[0.1\textwidth][c]{$\rho=-2.5$}} &
% \multicolumn{2}{c|}{\makebox[0.1\textwidth][c]{$\rho=-1.5$}} &
% \multicolumn{2}{c|}{\makebox[0.1\textwidth][c]{$\rho=1.5$}} &
% \multicolumn{2}{c|}{\makebox[0.1\textwidth][c]{$\rho=2.5$ \textsuperscript{$\dagger$}}} &
% \multicolumn{2}{c}{\makebox[0.1\textwidth][c]{$\rho=3$}}\\
%   & AUC $\uparrow$    & Logloss $\downarrow$  & AUC $\uparrow$   & Logloss $\downarrow$  & AUC $\uparrow$    & Logloss $\downarrow$ & AUC $\uparrow$    & Logloss $\downarrow$  & AUC $\uparrow$    & Logloss $\downarrow$  & AUC $\uparrow$    & Logloss $\downarrow$\\
% \midrule

%     Baseline            & 0.7008   & 0.48    & 0.7326  & 0.47   & 0.7491   & 0.52   & 0.7831  & 0.48   & 0.8033  & 0.4064   & 0.7818  & 0.4147  \\
%     GDCN                & 0.7082   & 0.47    & 0.7436  & 0.46   & 0.7541   & 0.48   & 0.7873  & 0.45   & 0.8037  & 0.4055   & 0.7865  & 0.4135  \\
%     CFM                 & 0.7117   & 0.48    & 0.7498  & 0.47   & 0.7623   & 0.51   & 0.7855  & 0.47   & 0.8032  & 0.4070   & 0.7849  & 0.4139  \\
%     LightDIL            & 0.7248   & 0.48    & 0.7542  & 0.47   & 0.7641   & 0.51   & 0.7860  & 0.47   & 0.8035  & 0.4066   & 0.7866  & 0.4135  \\
%     Baseline + SCE      & 0.7403   & 0.44    & 0.7637  & 0.43   & 0.7691   & 0.45   & 0.7903  & 0.42   & 0.8053  & 0.4035   & 0.7882  & 0.4130  \\
% \midrule
%    RE-SORT
%   & \textbf{0.7450  }\textsuperscript{$\star$$\star$}
%   & \textbf{        }\textsuperscript{$\star$$\star$} 
%   & \textbf{0.7694  }\textsuperscript{$\star$$\star$} 
%   & \textbf{0.4     }\textsuperscript{$\star$$\star$} 
%   & \textbf{0.7759  }\textsuperscript{$\star$$\star$} 
%   & \textbf{0.43    }\textsuperscript{$\star$$\star$} 
%   & \textbf{0.7943  }\textsuperscript{$\star$$\star$}
%   & \textbf{0.4190  }\textsuperscript{$\star$$\star$} 
%   & \textbf{0.8058  }\textsuperscript{$\star$$\star$}
%   & \textbf{0.40    }\textsuperscript{$\star$$\star$} 
%   & \textbf{0.7931  }\textsuperscript{$\star$$\star$}
%   & \textbf{0.40    }\textsuperscript{$\star$$\star$}  
%     \\ 
%     Rel. Imp & 0.0490  & -0.0483  &0.0428   &-0.0430  &0.0525  & -0.0530  & 0.0390 & -0.0394 & 0.0021 & -0.0028  &0.0483  & -0.0479 \\
% \bottomrule
%  \end{tabular} 
%   }
%  \caption{ Comparative analysis in the IID and OOD settings. We utilize the UGC data with $\rho=2.5$ as the training data. \textsuperscript{$\dagger$}: the testing data with $\rho=2.5$ can be regarded as the in distribution data. As the parameter $\rho$ increases, the difference in distribution between the testing and training datasets also increases. ``Rel. Imp'' denotes the relative improvements compared with the LightDIL.
%  }
%  \label{bias}

 
% \end{table*}
