## 4 Experimental Results
### Cross-Validation Experiments
\begin{table}
\begin{tabular}{l c c c c c c} \hline \hline
**Model** & **Acc.** & **Fid.** & **Acc. R. (a)** & **Acc. R. (b)** & **Nb. R.** & **Nb. Ant.** \\ \hline DIMLP (25) & **84.6** (0.2) & 99.4 (0.2) & **84.6** (0.2) & **84.8** (0.2) & 12.0 (0.4) & 2.6 (0.0) \\ DIMLP (50) & **84.6** (0.4) & 99.3 (0.2) & **84.6** (0.3) & **84.8** (0.3) & 12.1 (0.4) & 2.6 (0.0) \\ DIMLP (100) & **84.6** (0.3) & 99.4 (0.3) & 84.5 (0.2) & 84.7 (0.2) & 12.1 (0.4) & 2.6 (0.0) \\ DIMLP (150) & **84.6** (0.3) & 99.4 (0.2) & 84.5 (0.2) & 84.7 (0.3) & 12.0 (0.4) & 2.6 (0.0) \\ \hline RF (25) & 79.3 (0.8) & 97.6 (0.5) & 78.7 (1.2) & 79.7 (1.0) & 93.0 (0.8) & 3.8 (0.0) \\ RF (50) & 79.1 (0.7) & 97.4 (0.6) & 78.8 (0.7) & 79.7 (0.6) & 94.6 (1.5) & 3.8 (0.0) \\ RF (100) & 79.2 (0.7) & 97.7 (0.2) & 78.8 (0.9) & 79.7 (0.8) & 95.6 (0.8) & 3.8 (0.1) \\ RF (150) & 79.0 (0.7) & 97.6 (0.4) & 78.4 (0.8) & 79.4 (0.8) & 95.6 (0.8) & 3.8 (0.2) \\ \hline RF-3 (25) & 83.8 (0.5) & 99.8 (0.2) & 83.7 (0.5) & 83.8 (0.5) & 9.1 (0.6) & 2.4 (0.0) \\ RF-3 (50) & 84.1 (0.5) & 99.7 (0.2) & 83.9 (0.4) & 84.1 (0.4) & 9.5 (0.7) & 2.5 (0.0) \\ RF-3 (100) & 83.9 (0.4) & 99.8 (0.2) & 84.0 (0.5) & 84.1 (0.5) & 10.0 (0.6) & 2.5 (0.0) \\ RF-3 (150) & 84.0 (0.3) & 99.7 (0.2) & 84.1 (0.3) & 84.1 (0.3) & 10.4 (0.5) & 2.6 (0.0) \\ \hline GB (1,25) & 84.1 (0.3) & **99.9** (0.1) & 84.1 (0.3) & 84.1 (0.3) & **5.4** (0.3) & **2.0** (0.0) \\ GB (1,50) & 84.2 (0.3) & 99.8 (0.1) & 84.1 (0.2) & 84.2 (0.3) & 10.5 (0.4) & 2.4 (0.0) \\ GB (1,100) & 84.0 (0.2) & 99.7 (0.1) & 84.1 (0.3) & 84.2 (0.3) & 12.7 (0.6) & 2.6 (0.0) \\ GB (1,150) & 83.8 (0.3) & 99.6 (0.2) & 83.9 (0.3) & 84.0 (0.3) & 14.2 (0.7) & 2.6 (0.0) \\ \hline GB (2,25) & 84.3 (0.3) & **99.9** (0.1) & 84.3 (0.3) & 84.3 (0.3) & 8.8 (0.4) & 2.4 (0.0) \\ GB (2,50) & 83.7 (0.3) & 99.5 (0.2) & 83.9 (0.3) & 84.0 (0.3) & 12.9 (0.8) & 2.6 (0.0) \\ GB (2,100) & 83.1 (0.3) & 99.1 (0.1) & 83.4 (0.4) & 83.5 (0.3) & 18.1 (1.0) & 2.8 (0.0) \\ GB (2,150) & 82.7 (0.3) & 98.8 (0.1) & 82.9 (0.4) & 83.2 (0.3) & 21.2 (1.0) & 3.0 (0.0) \\ \hline GB (3,25) & 84.1 (0.3) & 99.7 (0.3) & 84.1 (0.3) & 84.2 (0.4) & 13.0 (0.4) & 2.6 (0.0) \\ GB (3,50) & 83.3 (0.3) & 99.3 (0.3) & 83.4 (0.3) & 83.6 (0.4) & 18.9 (0.4) & 2.8 (0.0) \\ GB (3,100) & 82.6 (0.6) & 98.7 (0.3) & 82.6 (0.5) & 83.1 (0.6) & 29.2 (0.8) & 3.1 (0.0) \\ GB (3,150) & 82.3 (0.4) & 98.2 (0.4) & 82.2 (0.6) & 82.8 (0.5) & 37.9 (0.6) & 3.3 (0.0) \\ \hline SR (25) & — & — & 81.7 (0.9) & — & 6.5 (0.4) & 3.0 (0.0) \\ SR (50) & — & — & 82.7 (0.5) & — & 9.5 (0.7) & 3.0 (0.0) \\ SR (100) & — & — & 83.1 (0.5) & — & 14.2 (1.1) & 3.0 (0.0) \\ SR (150) & — & — & 82.2 (0.7) & — & 17.3 (1.1) & 3.0 (0.0) \\ \hline \hline \end{tabular}
\end{table} 
Table 7: Average results obtained on the “Mammographic” dataset. For each column, the highest average accuracy or average fidelity is represented in bold, along with the lowest average number of rules or average number of antecedents. \begin{table}
\begin{tabular}{l c c c c c c} \hline \hline
**Model** & **Acc.** & **Fid.** & **Acc. R. (a)** & **Acc. R. (b)** & **Nb. R.** & **Nb. Ant.** \\ \hline DIMLP (25) & **92.2** (0.5) & 97.1 (0.8) & 91.8 (0.6) & **93.3** (0.5) & 18.5 (1.0) & 3.2 (0.1) \\ DIMLP (50) & **92.2** (0.3) & 97.5 (0.9) & 91.6 (0.8) & 93.0 (0.4) & 18.1 (0.9) & 3.2 (0.0) \\ DIMLP (100) & 92.1 (0.4) & 97.1 (0.7) & 91.3 (0.4) & 93.0 (0.6) & 18.1 (0.9) & 3.2 (0.1) \\ DIMLP (150) & 92.0 (0.4) & 96.7 (0.8) & 91.5 (0.7) & 93.2 (0.5) & 18.2 (0.6) & 3.2 (0.0) \\ \hline RF (25) & 90.6 (0.8) & 94.3 (2.2) & 89.1 (1.5) & 92.2 (1.1) & 37.7 (4.4) & 4.0 (0.1) \\ RF (50) & 91.0 (0.8) & 90.7 (1.9) & 84.8 (2.2) & 91.8 (1.0) & 66.4 (9.3) & 4.8 (0.2) \\ \hline \hline \end{tabular}
\end{table} 
Table 8: Average results obtained on the “Students-on-Math” dataset. For each column, the highest average accuracy or average fidelity is represented in bold, along with the lowest average number of rules or average number of antecedents.