\begin{figure}[!htb] \centering \begin{minipage}[b]{1\linewidth} \centering \subfigure[\census (\race)]{ \includegraphics[width=0.49\linewidth]{ACSAC/figures/egd/census/census_egd_attack_hard_race.pdf} }% \subfigure[\census (\sex)]{ \includegraphics[width=0.49\linewidth]{ACSAC/figures/egd/census/census_egd_attack_hard_sex.pdf} } \end{minipage}\\ \begin{minipage}[b]{1\linewidth} \centering \subfigure[\compas (\race)]{ \includegraphics[width=0.49\linewidth]{ACSAC/figures/egd/compas/compas_egd_attack_hard_race.pdf} }% \subfigure[\compas (\sex)]{ \includegraphics[width=0.49\linewidth]{ACSAC/figures/egd/compas/compas_egd_attack_hard_sex.pdf} } \end{minipage}\\ \begin{minipage}[b]{1\linewidth} \centering \subfigure[\meps (\race)]{ \includegraphics[width=0.49\linewidth]{ACSAC/figures/egd/meps/meps_egd_attack_hard_race.pdf} }% \subfigure[\meps (\sex)]{ \includegraphics[width=0.49\linewidth]{ACSAC/figures/egd/meps/meps_egd_attack_hard_sex.pdf} } \end{minipage}\\ \begin{minipage}[b]{1\linewidth} \centering \subfigure[\lfw (\race)]{ \includegraphics[width=0.49\linewidth]{ACSAC/figures/egd/lfw/lfw_egd_attack_hard_race.pdf} }% \subfigure[\lfw (\sex)]{ \includegraphics[width=0.49\linewidth]{ACSAC/figures/egd/lfw/lfw_egd_attack_hard_sex.pdf} } \end{minipage} \caption{For \adaptiveAIAHard, we observe that \egd reduces the attack accuracy to random guess ($\sim$50\%). %Additionally, the theoretical bound on attack accuracy (``Theory'') matches with the empirical results (``Empirical''). } \label{fig:AdaptAIAEGD} \end{figure} %\textbf{Overall, we observe that using group fairness results in attribute privacy but comes at the cost of $\targetmodel$'s utility.}