# CoreTemp: Coreset Sampled Templates for Multimodal Mobile Biometrics
## 5 Experiments
### Authentication on HMOG and BBMAS
\begin{table}
\begin{tabular}{l c c c c c c c c} \hline \hline (\%), _Except AUROC_ & \multicolumn{5}{c}{**BMAS**} \\ \cline{2-9}
**Model** & **EER (\(\downarrow\))** & **AUROC (\(\uparrow\))** & **TPR@FPR1\% (\(\uparrow\))** & **[EMAIL_ADDRESS]\% (\(\uparrow\))** & **EER (\(\downarrow\))** & **AUROC (\(\uparrow\))** & **TPR@FPR1\% (\(\uparrow\))** \\ \hline AUToGen [6] & 25.79\(\pm\)16.19 & 0.7888\(\pm\)0.1754 & 37.36\(\pm\)28.17 & 18.44\(\pm\)23.27 & 27.26\(\pm\)15.56 & 0.7779\(\pm\)0.1705 & 27.65\(\pm\)26.32 \\ [PERSON] et al. [7] & 24.61\(\pm\)15.850 & 0.7949\(\pm\)0.1671 & 37.36\(\pm\)31.63 & 18.02\(\pm\)24.77 & 27.62\(\pm\)15.66 & 0.7669\(\pm\)0.1830 & 25.27\(\pm\)27.31 \\ [PERSON] et al. [35] & 23.80\(\pm\)16.08 & 0.8105\(\pm\)0.1721 & 35.87\(\pm\)32.51 & 18.77\(\pm\)26.13 & 22.55\(\pm\)12.67 & 0.8314\(\pm\)10.376 & 25.23\(\pm\)23.90 \\ DeepAuthen [8] & 22.86\(\pm\)18.05 & 0.8149\(\pm\)0.1896 & 41.59\(\pm\)35.55 & 21.13\(\pm\)30.64 & 24.34\(\pm\)18.28 & 0.8025\(\pm\)0.2005 & 45.25\(\pm\)32.81 \\ DeFusion [12] & 19.57\(\pm\)14.10 & 0.8642\(\pm\)0.1406 & 46.87\(\pm\)30.25 & 29.85\(\pm\)29.66 & 18.41\(\pm\)10.88 & 0.8811\(\pm\)0.107 & 42.97\(\pm\)28.80 \\ [PERSON] et al. [9] & 18.37\(\pm\)15.74 & 0.8537\(\pm\)0.1637 & 43.20\(\pm\)41.32 & 24.52\(\pm\)36.94 & 19.07\(\pm\)15.24 & 0.8536\(\pm\)0.1628 & 36.83\(\pm\)38.73 \\ PIEformer [16] & 6.48\(\pm\)3.63 & 0.9672\(\pm\)0.0576 & 86.54\(\pm\)12.81 & 69.36\(\pm\)18.15 & 2.33\(\pm\)1.53 & 0.9924\(\pm\)0.0181 & 83.04\(\pm\)23.18 \\ \hline PIEformer+ (ours) & **5.42**\(\pm\)3.66 & **0.9756\(\pm\)0.0576** & **88.83**\(\pm\)11.82 & **74.74**\(\pm\)17.31 & **2.06**\(\pm\)1.55 & **0.9952**\(\pm\)0.0180 & **86.86**\(\pm\)**27.87 \\ \hline \hline \end{tabular}
\end{table} 
Table 1: Comparison of our proposed model to prior works. PIEformer and PIEformer+ are run under an open-set protocol, whereas the others are in a closed set. \begin{table}
\begin{tabular}{l c c c c c c c c} \hline (\%), _Except AUROC_ & \multicolumn{5}{c}{**BMAS**} \\ \cline{3-10}
**Model** & **Coreset** & **Fast Match** & **EER (\(\downarrow\))** & **AUROC (\(\uparrow\))** & **TPR@FPR1\% (\(\uparrow\))** & **[EMAIL_ADDRESS]\% (\(\uparrow\))** & **EER (\(\downarrow\))** & **AUROC (\(\uparrow\))** & **TPR@FPR1\% (\(\uparrow\))** \\ \hline \multirow{3}{*}{Transformer} & & & 7.29\(\pm\)4.00 & 0.9631\(\pm\)0.058 & 83.64\(\pm\)1484 & 65.35\(\pm\)18.80 & 3.08\(\pm\)12.73 & 0.9879\(\pm\)0.0465 & 81.16\(\pm\)28.66 \\  & ✓ & & 8.30\(\pm\)3.30 & 0.9553\(\pm\)0.0660 & 80.48\(\pm\)14.144 & 59.97\(\pm\)18.54 & 31.16\(\pm\)1.64 & 0.9880\(\pm\)0.0469 & 78.65\(\pm\)28.62 \\  & ✓ & ✓ & 8.30\(\pm\)4.41 & 0.9553\(\pm\)0.0593 & 80.48\(\pm\)15.03 & 59.97\(\pm\)19.23 & 3.45\(\pm\)1.80 & 0.9857\(\pm\)0.0469 & 78.15\(\pm\)29.81 \\ \hline \multirow{3}{*}{PIEformer} & & & 6.48\(\pm\)3.63 & 0.9672\(\pm\)0.0576 & 86.54\(\pm\)12.81 & 69.36\(\pm\)18.15 & 2.33\(\pm\)1.53 & 0.9924\(\pm\)0.051 & 83.04\(\pm\)23.18 \\  & ✓ & & 6.62\(\pm\)3.30 & 0.9661\(\pm\)0.0600 & 86.38\(\pm\)12.50 & 68.44\(\pm\)15.59 & 2.39\(\pm\)1.67 & 0.9921\(\pm\)0.0181 & 82.52\(\pm\)27.47 \\  & ✓ & ✓ & 6.73\(\pm\)3.85 & 0.9656\(\pm\)0.0641 & 85.44\(\pm\)13.57 & 67.36\(\pm\)17.70 & 2.62\(\pm\)1.25 & 0.9904\(\pm\)0.022 & 81.66\(\pm\)29.81 \\ \hline \multirow{3}{*}{PIEformer+} & & & 5.42\(\pm\)3.66 & 0.9756\(\pm\)0.0576 & 88.83\(\pm\)11.82 & 74.74\(\pm\)17.31 & 2.06\(\pm\)1.58 & 0.9952\(\pm\)0.0180 & 86.86\(\pm\)27.87 \\  & ✓ & & 5.42\(\pm\)3.09 & 0.9755\(\pm\)0.0487 & 88.83\(\pm\)39.77 & 74.69\(\pm\)16.16 & 2.06\(\pm\)1.71 & 0.9952\(\pm\)0.023 & 86.86\(\pm\)27.58 \\ \cline{1-1}  & ✓ & ✓ & 5.51\(\pm\)3.24 & 0.9744\(\pm\)0.051 & 86.63\(\pm\)13.437 & 69.85\(\pm\)18.99 & 2.28\(\pm\)1.56 & 0.9928\(\pm\)0.055 & 85.58\(\pm\)27.65 \\ \hline \hline \end{tabular}
\end{table} 
Table 2: Comparison of the PIEformer+ with other attention-based architectures for authentication, namely, Transformer and PIEformer.