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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.