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Table 1 Simulation results for LAD 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

10.8544

3.3916

24.0000

0

100%

p = 28

Lasso

10.5726

3.3035

10.8480

0

45.20%

m = 24

LLA

10.9153

3.3947

23.8540

0

99.39%

n = 500

Oracle

19.9085

5.4118

41.0000

0

100%

p = 45

Lasso

19.5952

5.2928

18.9920

0

46.32%

m = 41

LLA

19.9233

5.4045

40.9140

0

99.79%

n = 700

Oracle

24.3006

6.3847

49.0000

0

100%

p = 53

Lasso

24.0315

6.2994

23.1009

0

47.14%

m = 49

LLA

24.3666

6.4077

48.9617

0

99.92%