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Table 6 Results of cross-validation of different RFs

From: Data-driven multinomial random forest: a new random forest variant with strong consistency

Task

Dataset

Algorithm

Performance

Optimal parameters

Classification

Blogger

DMRF

84.8

\(B_{1} = 5,B_{2} = 8,p = 0.3,q = 0.8\)

MRF(b)

84

\(B_{1} = 8,B_{2} = 5,q = 0.8\)

BRF(b)

84.2

\(p_{1} = 0.05,p_{2} = 0.35,q = 0.8\)

Denil14(b)

83.2

\(\lambda = 10,m = 500,q = 0.8\)

Vertebral

DMRF

84.76

\(B_{1} = 2,B_{2} = 2,p = 0.5,q = 0.8\)

MRF(b)

84.58

\(B_{1} = 2,B_{2} = 10,q = 1 - 1/e\)

BRF(b)

84.6

\(p_{1} = 0.05,p_{2} = 0.35,q = 1 - 1/e\)

Denil14(b)

84.45

\(\lambda = 10,m = 200,q = 0.4\)

House votes

DMRF

96.26

\(B_{1} = 2,B_{2} = 8,p = 0.3,q = 0.8\)

MRF(b)

96.16

\(B_{1} = 2,B_{2} = 2,q = 0.4\)

BRF(b)

96.14

\(p_{1} = 0.05,p_{2} = 0.65,q = 1 - 1/e\)

Denil14(b)

95.85

\(\lambda = 10,m = 50,q = 0.4\)

Regression

ALE

DMRF

0.0436

\(B_{1} = 8,B_{2} = 10,p = 0.5,q = 0.4\)

MRF(b)

0.0443

\(B_{1} = 8,B_{2} = 2,q = 1 - 1/e\)

BRF(b)

0.0451

\(p_{1} = 0.01,p_{2} = 0.01,q = 0.4\)

Denil14(b)

0.0443

\(\lambda = 5,m = 50,q = 0.4\)

Real estate

DMRF

51.54

\(B_{1} = 5,B_{2} = 2,p = 0.3,q = 0.8\)

MRF(b)

52.83

\(B_{1} = 5,B_{2} = 2,q = 0.8\)

BRF(b)

52.49

\(p_{1} = 0.01,p_{2} = 0.65,q = 0.8\)

Denil14(b)

58.56

\(\lambda = 1,m = 50,q = 0.8\)

Flare

DMRF

0.5099

\(B_{1} = 5,B_{2} = 5,p = 0.5,q = 0.2\)

MRF(b)

0.5227

\(B_{1} = 2,B_{2} = 2,q = 0.2\)

BRF(b)

0.5102

\(p_{1} = 0.01,p_{2} = 0.01,q_{n} = 0.2\)

Denil14(b)

0.5156

\(\lambda = 1,m = 100,q = 0.2\)