From: Empirical evaluation of scoring functions for Bayesian network model selection
 | α = 0.1 | α= 0.5 | α= 1 | |||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
GoldNet | Min | Mean | Max | STD | Min | Mean | Max | STD | Min | Mean | Max | STD |
Austra | 0 | 2.44 | 14 | 4.38 | 0 | 2.11 | 14 | 4.32 | 0 | 1.94* | 14 | 4.02 |
Breast | 0 | 0.83 | 8 | 2.18 | 0 | 0.61 | 5 | 1.50 | 0 | 0.61 | 5 | 1.50 |
Car | 0 | 1.44 | 5 | 2.28 | 0 | 0.89 | 5 | 1.91 | 0 | 0.89 | 5 | 1.91 |
Cleve | 1 | 1.83 | 11 | 2.43 | 1 | 1.50 | 7 | 1.54 | 1 | 1.44* | 7 | 1.46 |
Crx | 3 | 5.72* | 18 | 4.56 | 3 | 6.06 | 19 | 5.46 | 3 | 5.72 | 18 | 4.91 |
Diabetes | 1 | 1.72 | 6 | 1.71 | 1 | 1.22* | 4 | 0.73 | 1 | 1.28 | 4 | 0.75 |
Glass | 1 | 1.83 | 7 | 2.01 | 1 | 1.00* | 1 | 0.00 | 1 | 1.00* | 1 | 0.00 |
Heart | 0 | 0.00* | 0 | 0.00 | 0 | 0.00 | 0 | 0.00 | 0 | 0.00 | 0 | 0.00 |
Hepatitis | 3 | 3.72* | 13 | 2.37 | 3 | 4.22 | 12 | 2.62 | 6 | 7.06 | 13 | 2.01 |
Iris | 1 | 1.83 | 7 | 1.72 | 1 | 1.44 | 6 | 1.34 | 1 | 1.33* | 4 | 0.97 |
Nursery | 1 | 4.94 | 8 | 2.75 | 0 | 4.39 | 8 | 2.77 | 0 | 4.06 | 8 | 2.92 |
Vehicle | 0 | 0.67 | 9 | 2.14 | 0 | 0.22 | 4 | 0.94 | 0 | 0.22* | 4 | 0.94 |
Voting | 0 | 1.61 | 23 | 5.38 | 0 | 1.39 | 22 | 5.17 | 0 | 1.28* | 19 | 4.47 |
 | α = 5 | α = 10 | α = 20 | |||||||||
GoldNet | Min | Mean | Max | STD | Min | Mean | Max | STD | Min | Mean | Max | STD |
Austra | 0 | 3.61 | 18 | 5.81 | 1 | 13.94 | 21 | 3.81 | 14 | 15.39 | 25 | 3.11 |
Breast | 0 | 0.22* | 4 | 0.94 | 0 | 0.56 | 10 | 2.36 | 0 | 1.33 | 11 | 2.93 |
Car | 0 | 0.28* | 5 | 1.18 | 0 | 0.28 | 5 | 1.18 | 0 | 0.33 | 5 | 1.19 |
Cleve | 4 | 6.61 | 13 | 2.85 | 9 | 12.56 | 19 | 2.18 | 20 | 21.56 | 25 | 1.10 |
Crx | 5 | 13.72 | 21 | 5.49 | 13 | 16.83 | 20 | 1.86 | 18 | 20.17 | 29 | 2.90 |
Diabetes | 3 | 3.22 | 6 | 0.73 | 5 | 5.33 | 10 | 1.19 | 9 | 9.11 | 11 | 0.47 |
Glass | 7 | 7.89 | 8 | 0.32 | 12 | 14.67 | 15 | 0.84 | 18 | 19.83 | 20 | 0.51 |
Heart | 1 | 1.00 | 1 | 0.00 | 1 | 1.44 | 2 | 0.51 | 2 | 2.22 | 4 | 0.55 |
Hepatitis | 25 | 30.22 | 33 | 1.99 | 39 | 41.78 | 44 | 1.31 | 50 | 53.56 | 60 | 2.25 |
Iris | 3 | 3.22 | 5 | 0.55 | 5 | 5.22 | 8 | 0.73 | 9 | 9.61 | 14 | 1.38 |
Nursery | 0 | 3.17 | 8 | 2.64 | 0 | 2.50 | 8 | 2.48 | 0 | 2.39* | 9 | 2.57 |
Vehicle | 0 | 0.44 | 5 | 1.20 | 1 | 2.39 | 10 | 2.03 | 5 | 6.72 | 15 | 2.47 |
Voting | 0 | 1.61 | 22 | 5.14 | 0 | 3.89 | 30 | 7.06 | 0 | 7.06 | 38 | 9.05 |
 | α = 50 | α = 80 | α = 100 | |||||||||
GoldNet | Min | Mean | Max | STD | Min | Mean | Max | STD | Min | Mean | Max | STD |
Austra | 16 | 19.67 | 33 | 4.35 | 18 | 22.50 | 42 | 5.99 | 19 | 24.17 | 42 | 5.86 |
Breast | 2 | 7.44 | 14 | 3.35 | 7 | 11.67 | 16 | 3.36 | 7 | 13.72 | 20 | 3.72 |
Car | 0 | 0.67 | 8 | 1.88 | 0 | 1.50 | 8 | 1.76 | 0 | 1.94 | 8 | 1.66 |
Cleve | 26 | 27.50 | 34 | 1.95 | 27 | 29.72 | 41 | 3.27 | 28 | 30.50 | 42 | 3.49 |
Crx | 19 | 25.39 | 37 | 4.41 | 24 | 29.28 | 40 | 4.08 | 27 | 31.78 | 44 | 4.35 |
Diabetes | 13 | 14.89 | 16 | 1.13 | 14 | 16.33 | 18 | 1.37 | 14 | 15.67 | 18 | 1.50 |
Glass | 18 | 18.11 | 20 | 0.47 | 18 | 21.61 | 26 | 2.06 | 20 | 24.44 | 26 | 2.04 |
Heart | 4 | 4.11 | 5 | 0.32 | 4 | 4.61 | 5 | 0.50 | 4 | 4.94 | 5 | 0.24 |
Hepatitis | 59 | 61.50 | 72 | 3.03 | 61 | 64.28 | 75 | 3.92 | 61 | 65.28 | 78 | 4.86 |
Iris | 13 | 15.06 | 18 | 1.35 | 14 | 16.78 | 18 | 1.11 | 14 | 15.83 | 18 | 1.47 |
Nursery | 0 | 2.11 | 11 | 2.78 | 0 | 2.33 | 10 | 2.81 | 0 | 2.61 | 11 | 3.13 |
Vehicle | 14 | 18.44 | 30 | 3.88 | 19 | 23.50 | 36 | 4.08 | 22 | 27.44 | 39 | 4.15 |
Voting | 6 | 22.28 | 43 | 9.78 | 16 | 30.00 | 52 | 8.60 | 23 | 34.50 | 56 | 8.21 |