Research Article

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

Table 6

Average complexity of the extracted rules given by the number of rules and antecedents per rule for BST-M and BST-G.

Dataset BST-M1 BST-M2 BST-M3 BST-M4 BST-G1 BST-G2 BST-G3 BST-G4

Australian Credit Appr. 2.0 1.0 21.6 3.6 24.3 3.7 26.5 3.8 49.1 4.3 73.4 4.5 74.5 4.5 76.8 4.5
Breast Cancer 13.0 2.7 13.6 2.9 17.7 3.2 21.5 3.3 22.3 3.4 24.8 3.5 25.8 3.5 25.7 3.5
Breast Cancer 2 13.9 2.7 21.9 3.2 28.2 3.5 30.4 3.5 31.6 3.6 34.1 3.6 35.1 3.6 36.1 3.7
Breast Canc. (prognostic) 4.3 1.6 7.5 1.9 8.2 2.0 9.1 2.1 39.3 3.8 41.7 3.7 43.0 3.6 43.7 3.6
Bupa Liver Disorders 19.5 2.8 35.2 3.4 37.2 3.4 37.2 3.4 54.7 3.8 64.6 4.0 63.8 4.1 64.0 4.1
Chess (kr-versus-kp) 8.0 2.2 17.8 3.8 19.5 3.8 28.8 4.0 66.8 4.6 38.9 4.3 37.0 4.3 37.8 4.3
Coronary Heart Disease 18.9 3.0 36.7 3.6 41.4 3.7 46.6 3.9 68.5 4.5 78.0 4.7 83.2 4.6 91.4 4.7
German Credit 6.0 2.0 13.5 2.9 16.7 3.2 20.5 3.3 102.7 5.0 144.7 5.2 173.7 5.1 174.2 4.9
Glass (binary) 9.6 2.4 17.7 2.9 19.3 3.0 20.2 3.0 20.4 3.1 21.9 3.1 22.6 3.1 23.3 3.1
Haberman 3.0 1.3 5.2 1.7 14.0 1.9 7.7 2.0 27.3 3.0 52.0 3.4 65.4 3.6 64.3 3.7
Heart Disease 14.5 2.8 20.2 3.2 24.6 3.5 28.9 3.7 34.6 3.8 39.8 3.9 41.1 4.0 41.7 4.0
ILPD (liver) 3.5 1.4 5.1 1.7 8.1 2.0 10.2 2.3 78.0 4.2 97.5 4.4 97.7 4.4 99.4 4.3
Ionosphere 14.3 2.8 24.0 3.5 28.6 3.9 30.3 4.0 29.3 3.9 31.3 3.9 32.4 3.9 32.2 3.9
Istanbul Stock Exch. 9.6 2.0 17.1 2.5 21.5 2.9 28.7 3.3 58.1 3.8 80.3 4.0 79.8 4.1 80.7 4.1
Labor 6.8 2.1 7.8 2.2 7.8 2.2 7.6 2.2 8.4 2.4 9.5 2.5 9.6 2.4 8.3 2.2
Musk1 27.4 3.4 44.5 4.2 61.9 4.5 70.8 4.5 75.0 4.5 76.2 4.5 75.2 4.5 78.1 4.5
Pima Indians 11.6 2.3 26.3 3.0 32.6 3.3 36.0 3.4 70.8 4.2 111.6 4.6 115.7 4.6 114.9 4.6
Promoters 11.4 2.7 19.9 3.7 21.7 3.8 23.6 3.9 21.5 3.8 23.5 3.9 25.4 4.0 25.2 3.9
Saheart 11.7 2.6 21.3 3.3 26.3 3.4 30.4 3.5 66.2 4.3 84.0 4.5 83.9 4.5 86.5 4.4
Sonar 21.6 3.5 34.0 4.1 35.8 4.2 37.2 4.2 37.5 4.2 39.8 4.2 41.4 4.3 42.3 4.3
Spect Heart 2.3 1.1 8.3 2.3 11.1 2.6 13.7 2.8 26.8 3.5 45.2 4.4 53.1 4.6 52.9 4.6
Splice junct. 21.7 3.3 63.2 4.8 59.4 4.7 63.1 4.7 144.5 5.8 119.7 5.9 129.9 6.0 148.3 6.2
Svmguide 26.4 2.4 37.4 2.8 40.9 2.9 44.5 3.1 68.1 3.6 105.1 3.8 157.5 4.0 167.4 4.0
Tictactoe 2.0 1.0 55.4 4.4 40.7 4.2 34.9 4.1 34.7 4.1 26.1 3.6 25.7 3.7 28.6 4.0
Vertebral Column 4.4 1.6 19.0 3.0 22.7 3.2 26.2 3.3 32.2 3.4 34.2 3.4 34.0 3.4 35.2 3.4