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Table 7 Accuracies and ranks (in brackets) obtained by each method across the ten datasets using four classifiers

From: RGIFE: a ranked guided iterative feature elimination heuristic for the identification of biomarkers

Class.

Method

Prostate-Sbo.

Dlbcl

Leukemia

CNS

Colon-Breast

AML

Prostate-Sin.

Pancreas

Bladder

Breast

Avg. Rank

RF

RGIFE-Union

0.723 (6)

0.643 (3)

0.927 (7)

0.617 (5)

0.947 (3)

0.667 (3)

0.923 (3)

0.898 (3.5)

0.794 (4)

0.884 (2.5)

4.00 (4)

 

RGIFE-Max

0.727 (4)

0.573 (7)

0.940 (5.5)

0.600 (6)

0.947 (3)

0.680 (1)

0.913 (6.5)

0.859 (8)

0.782 (6)

0.844 (8)

5.50 (6)

 

RGIFE-Min

0.712 (8)

0.680 (1)

0.886 (8)

0.589 (7)

0.927 (7)

0.577 (8)

0.884 (8)

0.900 (1.5)

0.770 (8)

0.851 (7)

6.35 (8)

 

CFS

0.741 (1)

0.627 (4)

0.957 (2.5)

0.622 (4)

0.947 (3)

0.597 (7)

0.922 (5)

0.886 (6)

0.800 (3)

0.869 (6)

4.15 (5)

 

SVM-RFE

0.733 (2)

0.623 (5)

0.944 (4)

0.668 (3)

0.887 (8)

0.675 (2)

0.923 (3)

0.898 (3.5)

0.819 (1)

0.877 (4)

3.55 (2)

 

ReliefF

0.726 (5)

0.577 (6)

0.961 (1)

0.681 (2)

0.930 (6)

0.633 (5)

0.932 (1)

0.900 (1.5)

0.800 (2)

0.892 (1)

3.50 (1)

 

Chi-Square

0.716 (7)

0.660 (2)

0.940 (5.5)

0.520 (8)

0.947 (3)

0.622 (6)

0.913 (6.5)

0.886 (6)

0.776 (7)

0.870 (5)

5.60 (7)

 

L1

0.730 (3)

0.520 (8)

0.957 (2.5)

0.684 (1)

0.947 (3)

0.650 (4)

0.923 (3)

0.886 (6)

0.788 (5)

0.884 (2.5)

3.80 (3)

SVM

RGIFE-Union

0.709 (4)

0.523 (4.5)

0.917 (6)

0.565 (4)

0.927 (4)

0.633 (4)

0.895 (5)

0.861 (6)

0.757 (5)

0.892 (3)

4.55 (4)

 

RGIFE-Max

0.716 (1)

0.573 (2)

0.957 (3.5)

0.572 (3)

0.947 (1.5)

0.617 (5)

0.915 (2)

0.873 (5)

0.775 (2)

0.876 (5)

3.00 (1)

 

RGIFE-Min

0.694 (6)

0.567 (3)

0.908 (7)

0.421 (8)

0.907 (5.5)

0.585 (7)

0.852 (8)

0.875 (4)

0.744 (6)

0.894 (1.5)

5.60 (8)

 

CFS

0.712 (3)

0.523 (4.5)

0.961 (2)

0.546 (5)

0.943 (3)

0.638 (3)

0.952 (1)

0.911 (1)

0.770 (3.5)

0.832 (8)

3.40 (2)

 

SVM-RFE

0.644 (8)

0.500 (6)

0.942 (5)

0.699 (2)

0.850 (7)

0.500 (8)

0.894 (6)

0.848 (8)

0.770 (3.5)

0.894 (1.5)

5.50 (7)

 

ReliefF

0.690 (7)

0.407 (8)

0.886 (8)

0.535 (6)

0.747 (8)

0.590 (6)

0.904 (4)

0.900 (2)

0.795 (1)

0.886 (4)

5.40 (6)

 

Chi-Square

0.705 (5)

0.603 (1)

0.957 (3.5)

0.462 (7)

0.947 (1.5)

0.652 (1)

0.893 (7)

0.857 (7)

0.739 (8)

0.869 (6)

4.70 (5)

 

L1

0.716 (2)

0.490 (7)

0.988 (1)

0.746 (1)

0.907 (5.5)

0.650 (2)

0.913 (3)

0.896 (3)

0.740 (7)

0.851 (7)

3.85 (3)

GNB

RGIFE-Union

0.701 (2)

0.623 (1)

0.932 (5)

0.650 (3)

0.963 (2.5)

0.627 (4)

0.922 (4)

0.887 (5)

0.733 (6)

0.884 (4)

3.65 (1)

 

RGIFE-Max

0.698 (3)

0.590 (3)

0.932 (5)

0.620 (5)

0.963 (2.5)

0.610 (6.5)

0.922 (4)

0.846 (8)

0.727 (7)

0.876 (6)

5.00 (7)

 

RGIFE-Min

0.691 (5)

0.503 (5)

0.890 (8)

0.589 (7)

0.907 (6.5)

0.617 (5)

0.895 (7)

0.900 (2)

0.751 (4)

0.900 (3)

5.25 (8)

 

CFS

0.690 (6)

0.520 (4)

0.973 (1)

0.665 (2)

0.927 (5)

0.650 (2)

0.932 (1.5)

0.871 (7)

0.740 (5)

0.870 (7)

4.05 (3)

 

SVM-RFE

0.655 (7)

0.450 (8)

0.958 (3)

0.626 (4)

0.873 (8)

0.593 (8)

0.912 (6)

0.898 (3.5)

0.807 (1)

0.907 (1)

4.95 (6)

 

ReliefF

0.616 (8)

0.473 (7)

0.919 (7)

0.570 (8)

0.907 (6.5)

0.633 (3)

0.932 (1.5)

0.898 (3.5)

0.764 (2)

0.901 (2)

4.85 (5)

 

Chi-Square

0.694 (4)

0.593 (2)

0.932 (5)

0.620 (6)

0.963 (2.5)

0.610 (6.5)

0.922 (4)

0.925 (1)

0.727 (8)

0.878 (5)

4.40 (4)

 

L1

0.719 (1)

0.500 (6)

0.971 (2)

0.746 (1)

0.963 (2.5)

0.655 (1)

0.885 (8)

0.886 (6)

0.753 (3)

0.855 (8)

3.85 (2)

KNN

RGIFE-Union

0.698 (1)

0.593 (2)

0.901 (7.5)

0.665 (4)

0.947 (2.5)

0.602 (3)

0.894 (2.5)

0.911 (1.5)

0.788 (3)

0.876 (6)

3.30 (1)

 

RGIFE-Max

0.684 (3)

0.597 (1)

0.927 (3)

0.670 (3)

0.947 (2.5)

0.582 (5)

0.893 (4.5)

0.861 (8)

0.806 (1)

0.862 (8)

3.90 (2)

 

RGIFE-Min

0.684 (4)

0.587 (3)

0.901 (7.5)

0.635 (5)

0.947 (2.5)

0.528 (8)

0.903 (1)

0.886 (5.5)

0.758 (8)

0.876 (6)

5.05 (7)

 

CFS

0.669 (6)

0.407 (8)

0.917 (5.5)

0.587 (8)

0.910 (6)

0.580 (6)

0.884 (6)

0.911 (1.5)

0.776 (5)

0.876 (6)

5.80 (8)

 

SVM-RFE

0.662 (7)

0.523 (7)

0.946 (2)

0.771 (1)

0.847 (8)

0.562 (7)

0.875 (7)

0.898 (3.5)

0.801 (2)

0.892 (1)

4.55 (4.5)

 

ReliefF

0.698 (2)

0.553 (5)

0.917 (5.5)

0.615 (7)

0.907 (7)

0.630 (2)

0.894 (2.5)

0.898 (3.5)

0.783 (4)

0.884 (2)

4.05 (3)

 

Chi-Square

0.680 (5)

0.537 (6)

0.919 (4)

0.618 (6)

0.947 (2.5)

0.595 (4)

0.893 (4.5)

0.873 (7)

0.770 (6)

0.877 (3)

4.80 (6)

 

L1

0.645 (8)

0.570 (4)

0.973 (1)

0.698 (2)

0.927 (5)

0.713 (1)

0.825 (8)

0.886 (5.5)

0.769 (7)

0.876 (4)

4.55 (4.5)

  1. The highest accuracies and ranks are shown in bold. The last column reports the average ranks across the datasets for each method, in brackets are shown the absolute ranks. The accuracies are rounded to the third decimal but the ranks are based on higher precision. RF random forest, KNN K-nearest neighbour and GNB Gaussian Naive Bayes