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Table 2 Simulation results for LAD loss function and \(\varepsilon\sim t_{5}\)

From: M-estimation in high-dimensional linear model

Setting

Method

EE

PE

C

IC

CP

n = 200

Oracle

10.5634

4.2892

24.0000

0

100%

p = 28

Lasso

10.2810

4.1649

11.7700

0

49.04%

m = 24

LLA

10.6448

4.2725

23.8780

0

99.49%

n = 500

Oracle

19.4296

6.8240

41.0000

0

100%

p = 45

Lasso

19.1157

6.7042

18.9580

0

46.24%

m = 41

LLA

19.4665

6.8335

40.9560

0

99.89%

n = 700

Oracle

23.7784

8.0637

49.0000

0

100%

p = 53

Lasso

23.4389

7.9551

22.8800

0

46.69%

m = 49

LLA

23.7808

8.0919

48.9740

0

99.94%