\section{Rebuttal}

\begin{table*}[b]
\centering
\begin{tabular}{l|cccc|c}
\hline
 & \textbf{Asian} & \textbf{Black} & \textbf{Other} & \textbf{White} &  \\
\hline
\textbf{Female, $\geq 66$} & 521  & 2860  & 1043  & 11437  & 15861 \\
\textbf{Male, $\geq 66$}  & 660  & 1804  & 1270  & 12848  & 16582 \\
\textbf{Male, $< 66$} & 478  & 3833  & 1853  & 8002  & 14166 \\
\textbf{Male, $< 66$} & 531  & 2727  & 2459  & 10962  & 16679 \\
\hline
\textbf{} & 2190  & 11224  & 6625  & 43249  & 63288 \\
\hline
\end{tabular}
\caption{Patient-wise groups used for analysis based on sex, age, and race for the Mimic dataset.}\label{tab:mimic_dataset}
\end{table*}

\begin{table*}[b]
\centering
\begin{tabular}{l|cc|c}
\hline
 & \textbf{Male} & \textbf{Female} & \\
\hline
\textbf{$\geq 42$} & 4 & 5 & 9\\
\textbf{$ <42$} & 4 & 5 & 9\\
\hline
\textbf{} & 8 & 10 & 18\\
\hline
\end{tabular}
\caption{Patient distribution by sex and age for the ReMind dataset.}\label{tab:remind_dataset}
\end{table*}


\begin{figure}[ht]
    \centering
    % Optional: Add shared legend on top if needed
    \includegraphics[width=0.8\linewidth]{plots/rebuttal/performance/remind-evaluation_performance_legend.pdf}
    \vspace{1em}

    \includegraphics[width=0.8\linewidth]{plots/rebuttal/performance/mimic-evaluation_performance_average_psnr.pdf}
    \vspace{1em} % space between legend and first plot

    \includegraphics[width=0.8\linewidth]{plots/rebuttal/performance/remind-evaluation_performance_tgrade_psnr.pdf}

    \caption{Downstream performance and PSNR at varying noise levels. Axes for PSNR and task performance are scaled to comparable percentage ranges.}
    \label{fig:performance_rebuttal}
\end{figure}


 \begin{figure}[t!]
 \centering
 \includegraphics[width=0.8\linewidth]{plots/rebuttal/histogram/bias_change_histogram.pdf}
 \caption{Distribution of bias changes in percent across all reconstruction models, and tasks for ReMind and Mimic, stratified by sensitive attribute. The vertical lines mark the medians.}
\end{figure}
% Fairness plots - CheXpert only
\begin{figure*}[!t]
 \centering
    % Legend only (no caption)
 \includegraphics[width=\textwidth]{plots/rebuttal/fairness/evaluation_rebuttal_fairness_legend.pdf} 

 \begin{tabular}{c@{\hspace{0.5cm}}c}

 \subfigure[t]{\includegraphics[width=\linewidth]{plots/rebuttal/fairness/evaluation_rebuttal_fairness_atelectasis.pdf}}
        &
 \subfigure[t]{\includegraphics[width=\linewidth]{plots/rebuttal/fairness/evaluation_rebuttal_fairness_cardiomegaly.pdf}}
        \\[0.3cm]

 \subfigure[t]{\includegraphics[width=\linewidth]{plots/rebuttal/fairness/evaluation_rebuttal_fairness_consolidation.pdf}}
        &
 \subfigure[t]{\includegraphics[width=\linewidth]{plots/rebuttal/fairness/evaluation_rebuttal_fairness_edema.pdf}}
        \\[0.3cm]

 \subfigure[t]{\includegraphics[width=\linewidth]{plots/rebuttal/fairness/evaluation_rebuttal_fairness_ec.pdf}}
        &
 \subfigure[t]{\includegraphics[width=\linewidth]{plots/rebuttal/fairness/evaluation_rebuttal_fairness_fracture.pdf}}
        \\[0.3cm]

 \subfigure[t]{\includegraphics[width=\linewidth]{plots/rebuttal/fairness/evaluation_rebuttal_fairness_lung-lesion.pdf}}
        &
 \subfigure[t]{\includegraphics[width=\linewidth]{plots/rebuttal/fairness/evaluation_rebuttal_fairness_lung-opacity.pdf}}
        \\[0.3cm]

 \subfigure[t]{\includegraphics[width=\linewidth]{plots/rebuttal/fairness/evaluation_rebuttal_fairness_pleural-effusion.pdf}}
        &
 \subfigure[t]{\includegraphics[width=\linewidth]{plots/rebuttal/fairness/evaluation_rebuttal_fairness_pleural-other.pdf}}
        \\[0.3cm]

 \subfigure[t]{\includegraphics[width=\linewidth]{plots/rebuttal/fairness/evaluation_rebuttal_fairness_pneumonia.pdf}}
        &
 \subfigure[t]{\includegraphics[width=\linewidth]{plots/rebuttal/fairness/evaluation_rebuttal_fairness_pneumothorax.pdf}}

 \end{tabular}

 \caption{Equalized odds bias change pre- mitigation compared to predictions on original images for Mimic. Error bars represent standard deviation.}
 \label{fig:bias_mimic}
\end{figure*}

% Fairness plots - UCSF-PDGM only
\begin{figure}[ht]
    \centering
    % Optional: Add shared legend on top if needed
    \includegraphics[width=0.8\linewidth]{plots/rebuttal/fairness/evaluation_rebuttal_fairness_legend.pdf}
    \vspace{1em}

    \includegraphics[width=0.8\linewidth]{plots/rebuttal/fairness/evaluation_rebuttal_fairness_tgrade.pdf}
    \vspace{1em} % space between legend and first plot

    \caption{EODD and SER bias change pre-mitigation compared to predictions on original images for ReMind tasks. Error bars represent standard deviation.}
    \label{fig:bias_remind}
\end{figure}
