# Face Spoofing Detection with Stacking Ensembles in Work Time Registration System
## Appendix A
\begin{table}
\begin{tabular}{c c c c c c} \hline \hline
**Combination** & **Small** & **Spoofing** & **Large** & **CelebA** & **Rank** \\ \hline B,S,C,V (voting) & 75.54 \(\pm\) 5.41 & 83.36 \(\pm\) 4.54 & 93.20 \(\pm\) 0.58 & 93.05 \(\pm\) 0.62 & 174.75 \\ \hline B,S,V (stacking) & 84.90 \(\pm\) 3.62 & 87.07 \(\pm\) 2.78 & 90.51 \(\pm\) 0.61 & 90.42 \(\pm\) 0.50 & 174.75 \\ \hline N,E (voting) & 83.45 \(\pm\) 7.42 & 91.50 \(\pm\) 4.00 & 87.02 \(\pm\) 4.38 & 91.51 \(\pm\) 0.50 & 175.5 \\ \hline B,S,N,V (voting) & 80.79 \(\pm\) 5.87 & 82.62 \(\pm\) 5.26 & 92.92 \(\pm\) 0.80 & 90.41 \(\pm\) 0.54 & 177.5 \\ \hline B,S,C,X,V (voting) & 73.99 \(\pm\) 4.99 & 74.77 \(\pm\) 9.04 & 92.53 \(\pm\) 0.93 & 94.42 \(\pm\) 1.00 & 178 \\ \hline B,C,X,E,V (voting) & 75.14 \(\pm\) 5.66 & 76.44 \(\pm\) 9.31 & 91.86 \(\pm\) 1.23 & 94.47 \(\pm\) 1.09 & 178.75 \\ \hline B,S,N,X,V (voting) & 77.61 \(\pm\) 5.32 & 74.28 \(\pm\) 9.35 & 93.09 \(\pm\) 0.98 & 93.02 \(\pm\) 1.19 & 179.5 \\ \hline S,E,V (voting) & 82.59 \(\pm\) 5.08 & 88.43 \(\pm\) 3.60 & 88.82 \(\pm\) 1.03 & 92.57 \(\pm\) 0.49 & 179.5 \\ \hline B,S (stacking) & 84.83 \(\pm\) 3.64 & 86.89 \(\pm\) 2.65 & 90.42 \(\pm\) 0.64 & 89.87 \(\pm\) 0.44 & 179.75 \\ \hline B,N,X,E,V (voting) & 77.18 \(\pm\) 5.48 & 74.97 \(\pm\) 9.89 & 92.63 \(\pm\) 1.33 & 93.15 \(\pm\) 1.33 & 180 \\ \hline B,E (stacking) & 83.73 \(\pm\) 7.56 & 91.48 \(\pm\) 3.80 & 88.69 \(\pm\) 0.75 & 81.54 \(\pm\) 14.09 & 180 \\ \hline B,E,V (stacking) & 83.63 \(\pm\) 7.62 & 91.48 \(\pm\) 3.80 & 88.87 \(\pm\) 0.58 & 81.94 \(\pm\) 13.52 & 180.25 \\ \hline E,V (stacking) & 83.21 \(\pm\) 7.91 & 91.48 \(\pm\) 3.80 & 88.66 \(\pm\) 0.84 & 80.37 \(\pm\) 15.74 & 183.5 \\ \hline B,N,X (voting) & 73.36 \(\pm\) 5.42 & 65.93 \(\pm\) 6.65 & 96.03 \(\pm\) 0.48 & 90.38 \(\pm\) 3.32 & 184 \\ \hline B,E (voting) & 83.82 \(\pm\) 7.24 & 91.13 \(\pm\) 3.91 & 78.57 \(\pm\) 19.95 & 88.66 \(\pm\) 0.54 & 184.75 \\ \hline B,N,V (voting) & 71.29 \(\pm\) 5.81 & 71.32 \(\pm\) 6.81 & 96.07 \(\pm\) 0.47 & 84.98 \(\pm\) 0.56 & 184.75 \\ \hline B,N,X,E (voting) & 81.35 \(\pm\) 4.76 & 81.93 \(\pm\) 3.87 & 90.99 \(\pm\) 1.24 & 91.52 \(\pm\) 2.41 & 185 \\ \hline C,X (voting) & 61.02 \(\pm\) 8.35 & 74.35 \(\pm\) 8.39 & 91.69 \(\pm\) 0.96 & 95.12 \(\pm\) 0.45 & 185.75 \\ \hline S,V (stacking) & 81.74 \(\pm\) 4.10 & 87.17 \(\pm\) 2.72 & 90.53 \(\pm\) 0.64 & 90.29 \(\pm\) 0.67 & 186 \\ \hline B,C,X (voting) & 70.49 \(\pm\) 4.85 & 67.88 \(\pm\) 6.33 & 94.33 \(\pm\) 0.64 & 92.55 \(\pm\) 2.91 & 186.25 \\ \hline C,N,X,V (voting) & 69.69 \(\pm\) 7.22 & 70.90 \(\pm\) 8.28 & 91.93 \(\pm\) 1.11 & 94.24 \(\pm\) 1.16 & 187.5 \\ \hline S,C,X,V (voting) & 69.17 \(\pm\) 7.42 & 75.52 \(\pm\) 5.02 & 90.72 \(\pm\) 0.97 & 94.70 \(\pm\) 0.78 & 189.5 \\ \hline C,X,E,V (voting) & 73.11 \(\pm\) 6.21 & 80.56 \(\pm\) 4.37 & 89.75 \(\pm\) 1.39 & 94.74 \(\pm\) 0.29 & 190.25 \\ \hline B,S,X,E (voting) & 81.14 \(\pm\) 4.99 & 82.87 \(\pm\) 3.80 & 89.49 \(\pm\) 1.78 & 91.80 \(\pm\) 1.62 & 192.25 \\ \hline B,N,E,V (voting) & 82.15 \(\pm\) 5.43 & 83.79 \(\pm\) 4.35 & 89.43 \(\pm\) 0.95 & 89.72 \(\pm\) 0.45 & 193.5 \\ \hline B,C,V (voting) & 68.83 \(\pm\) 5.40 & 73.65 \(\pm\) 6.72 & 93.82 \(\pm\) 0.37 & 89.35 \(\pm\) 0.59 & 194.25 \\ \hline \hline \end{tabular}
\end{table} 
Table 6: All obtained accuracies [%] for different stacking and voting ensemble combinations for five runs of a 5-fold cross-validation, part 4. \begin{table}
\begin{tabular}{c c c c c} \hline
**Threshold** & **Accuracy** & **Precision** & **Recall** & **F1-Score** \\ \hline  
\end{tabular}
\end{table} 
Table 7: Obtained metrics [%] in a 5-fold cross-validation for different values of threshold of the stacking ensemble B,S,C,N,X,E,V. The threshold is the probability above which images are considered spoofed. Small dataset.