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Table 7 Number of features selected by different wrapper methods on the real studies

From: Artificial Intelligence based wrapper for high dimensional feature selection

Real Studies

Performance

(Number of Features Selected)

Existing Models

AIWRAP

ALASSO

GLASSO

LASSO

SPLS

Enet

AEnet

AIWRAP-L

AIWRAP -LLr

Mean (Range)

Marginal Models

I

Marginal

(p = 44)

7

(4–14)

 

7

(3–16)

23

(3–44)

13

(4–22)

11

(4–21)

13

(7–21)

10

(5–16)

II

Marginal

(p = 19)

5

(1–10)

 

7

(1–12)

9

(1–15)

8

(1–15)

7

(1–12)

9

(4–13)

6

(3–9)

III

Marginal

(p = 33)

8

(4–11)

 

12

(6–16)

11

(4–33)

13

(5–18)

10

(4–18)

13

(10–18)

9

(4–13)

IV

Marginal

(p = 26)

6

(5–7)

 

7

(5–9)

7

(5–14)

8

(5–11)

7

(5–12)

7

(5–9)

5

(3–9)

  

Interaction Models

I

Marginal (p = 44)

13

(7–24)

42

(41–43)

12

(7–23)

12

(3–44)

22

(10–36)

21

(7–32)

21

(15–26)

20

(14–26)

Interaction (χ = 946)

4

(1–11)

170

(156–183)

4

(0–11)

63

(0–591)

13

(1–46)

11

(0–23)

23

(8–47)

17

(5–35)

II

Marginal (p = 19)

10

(2–18)

19

(19–19)

9

(1–16)

11

(1–19)

9

(1–15)

10

(1–16)

12

(9–15)

10

(1–14)

Interaction (χ = 171)

6

(0–19)

94

(87–108)

4

(0–8)

24

(0–117)

6

(0–21)

6

(0–14)

15

(5–37)

8

(0–13)

III

Marginal (p = 33)

15

(6–26)

33

(32–33)

15

(3–23)

4

(1–10)

14

(4–23)

16

(10–23)

16

(10–21)

15

(2–21)

Interaction (χ = 528)

6

(1–25)

125

(113–137)

5

(0–16)

1

(0–4)

4

(0–16)

5

(1–15)

22

(1–49)

19

(1–49)

IV

Marginal (p = 26)

5

(3–6)

7

(5–9)

6

(3–9)

9

(6–12)

7

(4–10)

5

(3–6)

10

(6–13)

10

(6–13)

Interaction (χ = 299)

3

(1–4)

7

(5–10)

4

(2–6)

12

(7–16)

5

(2–7)

3

(1–5)

13

(7–26)

13

(7–26)

  1. Values in Bold means best results