Research Article

A Comparison Study on Rule Extraction from Neural Network Ensembles, Boosted Shallow Trees, and SVMs

Table 9

Average fidelity and standard deviations of the extracted rules for BST-R, DIMLP ensembles, and QSVMs.

Dataset BST-R1 BST-R2 BST-R3 BST-R4 DIMLP-B DIMLP-A QSVM-L QSVM-P3 QSVM-G

Australian Credit Appr. 94.8 0.9 94.7 0.7 94.7 0.6 94.4 0.9 97.9 0.5 96.0 0.5 100.0 0.0 98.1 0.6 99.3 0.2
Breast Cancer 98.5 0.6 98.7 0.3 98.5 0.4 98.5 0.5 98.8 0.4 98.9 0.3 98.9 0.4 98.1 0.3 98.7 0.4
Breast Cancer 2 97.3 0.4 97.6 0.4 97.5 0.7 97.6 0.5 97.4 0.6 97.3 0.7 97.2 0.5 97.1 0.8 98.1 0.4
Breast Canc. (prognostic) 87.0 2.1 88.1 2.0 88.0 2.0 88.4 1.9 91.9 1.5 94.8 1.6 91.1 1.3 93.9 0.6 92.2 1.1
Bupa Liver Disorders 88.0 1.9 87.9 1.8 87.2 1.7 86.9 1.9 93.1 0.9 94.5 1.1 91.4 1.9 85.3 1.7 89.3 1.2
Chess (kr-versus-kp) 99.2 0.2 99.6 0.1 99.8 0.1 99.8 0.1 99.6 0.1 99.8 0.1 100.0 0.0 99.7 0.1 99.6 0.1
Coronary Heart Disease 94.2 0.8 94.8 0.8 94.4 0.4 94.6 1.0 97.1 0.4 96.2 0.5 97.5 0.5 97.3 0.6 97.8 0.4
German Credit 92.4 0.6 89.8 0.9 88.8 1.1 88.5 1.0 96.2 0.8 94.1 1.3 94.4 0.7 94.4 0.8 90.0 1.0
Glass (binary) 94.1 1.6 91.5 1.8 90.9 2.7 90.1 2.7 94.4 1.3 91.4 1.1 87.1 2.5 90.7 0.8 91.6 1.4
Haberman 93.4 1.3 92.0 0.7 92.7 1.3 93.4 1.6 98.9 1.1 99.5 0.3 95.9 1.4 96.2 1.4 96.8 0.8
Heart Disease 92.8 1.5 92.1 1.6 90.7 2.4 90.3 2.8 95.2 1.2 93.9 1.8 95.4 1.3 94.5 1.2 94.4 1.9
ILPD (liver) 90.9 0.8 89.5 1.1 89.3 1.4 88.2 1.1 96.8 1.3 97.4 0.9 89.9 1.2 89.4 1.3 92.1 1.4
Ionosphere 96.0 1.2 96.0 1.3 95.9 1.2 96.0 1.0 96.1 0.6 94.6 1.3 95.6 0.8 94.8 0.8 95.5 1.0
Istanbul Stock Exch. 93.3 0.8 91.3 1.1 90.9 0.7 90.9 1.5 96.4 0.9 96.7 0.7 94.4 0.8 96.1 0.6 95.9 0.9
Labor 93.3 4.6 93.5 3.2 92.3 3.9 95.4 2.6 93.8 3.2 89.8 6.3 92.1 2.2 90.1 3.1 92.6 3.96
Musk1 91.9 1.5 92.2 0.9 91.4 1.4 90.9 1.3 91.5 0.7 88.5 0.8 92.1 1.0 91.0 0.9 87.5 1.6
Pima Indians 93.6 0.7 90.7 1.3 90.5 1.4 90.5 0.9 97.0 0.6 95.1 0.9 95.8 0.8 96.2 0.5 95.8 0.5
Promoters 88.0 3.3 87.0 3.5 87.3 3.0 90.4 3.0 92.0 2.9 87.5 2.2 85.5 3.4 85.5 3.2 88.6 4.1
Saheart 90.3 1.8 89.2 1.5 88.6 1.6 86.8 0.6 95.8 1.0 95.2 1.3 91.1 1.9 93.4 0.7 93.7 1.3
Sonar 88.8 2.7 86.8 3.0 87.2 1.9 85.5 2.1 90.6 1.2 85.1 2.2 88.4 1.5 86.0 2.7 82.7 2.0
Spect Heart 93.6 1.8 91.5 1.5 90.9 1.6 89.9 2.0 94.7 1.0 94.8 1.4 93.4 0.6 94.1 1.1 92.3 1.3
Splice junct. 96.9 0.4 97.9 0.3 97.6 0.2 97.4 0.4 96.9 0.3 98.0 0.2 95.1 0.2 95.1 0.2 91.2 0.3
Svmguide 99.4 0.1 99.1 0.1 98.9 0.1 98.9 0.1 99.7 0.1 99.4 0.1 99.3 0.1 99.2 0.0 99.4 0.1
Tictactoe 99.4 0.3 98.3 0.4 99.6 0.2 99.9 0.1 100.0 0.1 99.2 0.3 100.0 0.0 100.0 0.0 99.6 0.3
Vertebral Column 93.6 1.0 94.0 1.4 92.6 0.8 93.9 1.0 96.1 0.9 93.3 1.8 96.2 0.7 95.9 1.2 95.6 0.7