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Table 2 Cross validated (32 runs of 3:2 train-test split) linear SVM and random forest performance on original datasets, RST transformed data sets, LDA transformed data sets and PCA transformed data sets

From: A subspace recursive and selective feature transformation method for classification tasks

  

Original

rst

lda

pca

 

No. features

Log loss ± stdev

Log loss ± stdev

Log loss ± stdev

Log loss ± stdev

Sonar

 RandomForest

60 (original)

0.49 ± 0.04

   
 

51

 

1.17 ± 0.38

 

0.77 ± 0.18

 

43

 

4.83 ± 1.42

 

0.60 ± 0.03

 

36

 

6.17 ± 1.31

 

0.57 ± 0.02

 

30

 

6.18 ± 1.98

 

0.65 ± 0.15

 

25

 

5.78 ± 1.54

 

0.64 ± 0.15

 

20

 

6.03 ± 1.16

 

0.78 ± 0.37

 

1

  

9.23 ± 1.21

 

 LinearSVM

60 (original)

0.52 ± 0.04

   
 

51

 

0.56 ± 0.06

 

0.55 ± 0.04

 

43

 

0.82 ± 0.22

 

0.55 ± 0.04

 

36

 

0.85 ± 0.21

 

0.57 ± 0.02

 

30

 

0.85 ± 0.20

 

0.55 ± 0.04

 

25

 

0.85 ± 0.20

 

0.55 ± 0.04

 

20

 

0.85 ± 0.20

 

0.56 ± 0.03

 

1

  

1.00 ± 0.18

 

Digits

 RandomForest

64 (original)

0.46 ± 0.07

   
 

54

 

1.00 ± 0.22

 

0.82 ± 0.07

 

46

 

0.92 ± 0.36

 

0.81 ± 0.17

 

39

 

0.98 ± 0.20

 

0.73 ± 0.08

 

33

 

0.93 ± 0.19

 

0.74 ± 0.04

 

27

 

0.87 ± 0.15

 

0.61 ± 0.08

 

22

 

0.97 ± 0.20

 

0.59 ± 0.05

 

9

  

0.61 ± 0.04

 

 LinearSVM

64 (original)

0.25 ± 0.02

   
 

54

 

0.29 ± 0.01

 

0.36 ± 0.02

 

46

 

0.24 ± 0.02

 

0.38 ± 0.01

 

39

 

0.23 ± 0.02

 

0.36 ± 0.03

 

33

 

0.24 ± 0.02

 

0.39 ± 0.03

 

27

 

0.23 ± 0.02

 

0.39 ± 0.01

 

22

 

0.24 ± 0.02

 

0.41 ± 0.02

 

9

  

0.28 ± 0.02

 

Letter

 RandomForest

16 (original)

0.64 ± 0.01

   
 

12

 

2.78 ± 0.11

1.36 ± 0.05

1.05 ± 0.02

 

9

 

7.17 ± 0.05

1.61 ± 0.05

1.20 ± 0.03

 

5

 

7.08 ± 0.05

2.28 ± 0.07

1.96 ± 0.06

 

2

 

7.12 ± 0.16

4.11 ± 0.07

4.98 ± 0.09

 LinearSVM

16 (original)

1.33 ± 0.01

   
 

12

 

1.33 ± 0.01

1.62 ± 0.02

1.45 ± 0.01

 

9

 

1.37 ± 0.01

1.89 ± 0.02

1.66 ± 0.01

 

5

 

1.33 ± 0.03

2.20 ± 0.04

2.05 ± 0.02

 

2

 

1.28 ± 0.01

2.51 ± 0.01

2.44 ± 0.01

Glass

 RandomForest

9 (original)

2.43 ± 0.83

   
 

5

 

4.33 ± 1.61

3.53 ± 0.83

2.44 ± 0.88

 

2

 

5.80 ± 0.45

3.82 ± 0.61

3.18 ± 1.15

 LinearSVM

9 (original)

1.35 ± 0.04

   
 

5

 

1.23 ± 0.04

1.20 ± 0.03

1.18 ± 0.03

 

2

 

1.10 ± 0.04

1.22 ± 0.03

1.21 ± 0.05

Iris

     

 RandomForest

4 (original)

0.65 ± 0.36

   
 

2

 

0.39 ± 0.68

0.25 ± 0.22

0.28 ± 0.27

 LinearSVM

4 (original)

0.46 ± 0.04

   
 

2

 

0.30 ± 0.04

0.43 ± 0.02

0.48 ± 0.05

  1. In bold are the best score (lowest log loss) on the corresponding data set. Results for sonar: rock vs mine sensory readings, hand written digits, hand written letter recognition, glass identification and iris