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Table 3 Simulation results for LAD loss function and \(\varepsilon\sim 0.9N(0,1)+0.1N(0,9)\)

From: M-estimation in high-dimensional linear model

Setting

Method

EE

PE

C

IC

CP

n = 200

Oracle

10.4815

4.4830

24.0000

0

100%

p = 28

Lasso

10.2030

4.4063

11.6360

0

48.48%

m = 24

LLA

10.5826

4.4529

23.9240

0

99.68%

n = 500

Oracle

19.2539

7.1997

41.0000

0

100%

p = 45

Lasso

18.9670

7.0960

19.3840

0

47.28%

m = 41

LLA

19.2950

7.1173

40.9520

0

99.88%

n = 700

Oracle

23.6354

8.5657

49.0000

0

100%

p = 53

Lasso

23.2424

8.4609

23.0580

0

47.06%

m = 49

LLA

23.6566

8.3699

48.9300

0

99.86%