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Table 5 Results on the Ivshina data set for classification of Grade of the tumor

From: Improved shrunken centroid classifiers for high-dimensional class-imbalanced data

n Grade 2

Method

λ ∗ a

# genes

PA

PA1

PA2

PA3

g-means

10

PAM

4.25

963

0.29

0.90

0.12

0.89

0.45

 

GM-PAM

2.76

5768

0.34

0.86

0.20

0.88

0.51

 

ALP

10.26

7425

0.33

0.88

0.18

0.88

0.51

 

GM-ALP

28.39

3295

0.37

0.70

0.26

0.88

0.50

 

AHP

25.61

9508

0.39

0.83

0.27

0.85

0.57

 

GM-AHP

76.40

640

0.45

0.75

0.36

0.86

0.61

20

PAM

3.14

3023

0.34

0.89

0.18

0.88

0.51

 

GM-PAM

1.27

12299

0.42

0.83

0.30

0.85

0.59

 

ALP

11.20

5541

0.40

0.85

0.26

0.88

0.57

 

GM-ALP

10.67

9991

0.42

0.81

0.30

0.86

0.58

 

AHP

30.66

7733

0.47

0.78

0.37

0.83

0.62

 

GM-AHP

48.52

3811

0.48

0.76

0.39

0.83

0.62

40

PAM

1.55

9832

0.46

0.86

0.32

0.87

0.61

 

GM-PAM

0.49

17439

0.52

0.83

0.41

0.84

0.65

 

ALP

12.43

6885

0.45

0.82

0.31

0.87

0.59

 

GM-ALP

2.00

16919

0.51

0.80

0.41

0.83

0.64

 

AHP

37.43

6366

0.52

0.73

0.44

0.83

0.64

 

GM-AHP

32.21

7148

0.53

0.74

0.44

0.82

0.64

80

PAM

0.28

19617

0.58

0.77

0.48

0.83

0.67

 

GM-PAM

0.32

19311

0.58

0.78

0.47

0.83

0.67

 

ALP

0.68

19149

0.59

0.75

0.50

0.82

0.67

 

GM-ALP

0.76

18727

0.59

0.75

0.50

0.82

0.67

 

AHP

15.20

11231

0.58

0.73

0.48

0.82

0.66

 

GM-AHP

14.69

10928

0.57

0.73

0.48

0.82

0.66

  1. The table reports the same information as Table 4. There were 40 Grade 1 and Grade 3 samples and the number of Grade 2 samples varied; see text for more details.
  2. aFor AHP and GM-AHP only λ θ was optimized while λ γ was set to zero.