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Table 4 Simulation results for Huber loss function and \(\varepsilon \sim N(0,1)\)

From: M-estimation in high-dimensional linear model

Setting

Method

EE

PE

C

IC

CP

n = 200

Oracle

10.8300

3.3696

24.0000

0

100%

p = 28

Lasso

9.6422

3.5569

20.0920

0

83.72%

m = 24

LLA

10.9088

3.3784

22.7200

0

94.67%

n = 500

Oracle

19.9141

5.4034

41.0000

0

100%

p = 45

Lasso

18.0691

5.6068

38.0300

0

92.76%

m = 41

LLA

19.8884

5.3937

40.5160

0

98.82%

n = 700

Oracle

24.3265

6.3761

49.0000

0

100%

p = 53

Lasso

22.4030

6.5988

46.2440

0

94.38%

m = 49

LLA

24.3596

6.3882

48.6620

0

99.31%