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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