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Table 1 Simulation results for \(\pmb{\rho=0.5}\)

From: Adaptive bridge estimation for high-dimensional regression models

Setting

Method

\(\boldsymbol{L_{2}}\) -loss

PE

C

IC

n = 200

p = 50

υ = 41

Lasso

0.5459 (0.1160)

0.8830 (0.1126)

28.4540 (5.3337)

0 (0)

Alasso

0.5442 (0.1149)

0.8790 (0.1099)

28.5300 (5.2421)

0 (0)

Bridge

0.4733 (0.1120)

0.8755 (0.1068)

28.2700 (5.0834)

0 (0)

Abridge

0.4617 (0.1155)

0.9005 (0.1038)

38.8380 (2.9903)

0 (0)

n = 500

p = 80

υ = 71

Lasso

0.3459 (0.0829)

0.9469 (0.0673)

56.1300 (6.3329)

0 (0)

Alasso

0.3476 (0.0830)

0.9465 (0.0686)

56.0360 (6.5269)

0 (0)

Bridge

0.2950 (0.0732)

0.9394 (0.0654)

52.7140 (6.7155)

0 (0)

Abridge

0.2745 (0.0728)

0.9661 (0.0630)

69.7160 (2.5994)

0 (0)

n = 800

p = 100

υ = 91

Lasso

0.2814 (0.0624)

0.9664 (0.0548)

74.4820 (7.1596)

0 (0)

Alasso

0.2817 (0.0620)

0.9687 (0.0552)

74.7180 (7.0409)

0 (0)

Bridge

0.2327 (0.0576)

0.9570 (0.0534)

69.4380 (8.8332)

0 (0)

Abridge

0.2160 (0.0569)

0.9839 (0.0514)

89.7680 (3.0359)

0 (0)