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Table 2 Comparison of the proposed method and the Lasso in simulations

From: Identification of gene pairs through penalized regression subject to constraints

Setting

(p,n,σ)

Method

MSE

R 2

RE

FR

1

(20, 50, 0.5)

Lasso 1

0.29

0.89

0.77

0.33

   

(0.01)

(0.00)

(0.01)

(0.00)

  

Lasso 2

0.31

0.88

0.14

0.00

   

(0.01)

(0.00)

(0.01)

(0.00)

  

Proposed

0.29

0.89

0.13

0.00

   

(0.01)

(0.00)

(0.01)

(0.00)

1

(100, 25, 0.2)

Lasso 1

0.19

0.92

0.80

0.37

   

(0.07)

(0.03)

(0.02)

(0.02)

  

Lasso 2

0.24

0.89

0.22

0.06

   

(0.08)

(0.03)

(0.03)

(0.03)

  

Proposed

0.19

0.92

0.21

0.04

   

(0.07)

(0.03)

(0.03)

(0.03)

2

(20, 50, 0.5)

Lasso 1

0.32

0.89

0.44

0.20

   

(0.01)

(0.00)

(0.02)

(0.04)

  

Lasso 2

0.36

0.88

0.14

0.00

   

(0.02)

(0.01)

(0.01)

(0.00)

  

Proposed

0.32

0.89

0.14

0.01

   

(0.01)

(0.00)

(0.01)

(0.01)

2

(100, 25, 0.2)

Lasso 1

0.42

0.84

0.52

0.37

   

(0.07)

(0.02)

(0.03)

(0.06)

  

Lasso 2

0.63

0.76

0.32

0.22

   

(0.09)

(0.03)

(0.03)

(0.05)

  

Proposed

0.41

0.85

0.31

0.24

   

(0.07)

(0.02)

(0.03)

(0.05)

3

(20, 50, 0.5)

Lasso 1

0.30

0.93

0.18

0.00

   

(0.01)

(0.00)

(0.02)

(0.00)

  

Lasso 2

0.33

0.92

0.11

0.00

   

(0.01)

(0.00)

(0.01)

(0.00)

  

Proposed

0.30

0.93

0.11

0.00

   

(0.01)

(0.00)

(0.01)

(0.00)

3

(100, 25, 0.2)

Lasso 1

0.15

0.96

0.25

0.00

   

(0.02)

(0.01)

(0.03)

(0.00)

  

Lasso 2

0.26

0.93

0.16

0.01

   

(0.08)

(0.02)

(0.02)

(0.01)

  

Proposed

0.15

0.96

0.15

0.00

   

(0.02)

(0.01)

(0.01)

(0.00)

  1. Sample means (standard errors in parentheses) of mean squared error (MSE), R 2, relative error (RE) and false identification rate (FR), based on 20 simulation replications, for the proposed method and the Lasso
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BMC Bioinformatics

ISSN: 1471-2105

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