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Table 5 Simulation results for Huber 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

10.5572

4.2666

24.0000

0

100%

p = 28

Lasso

9.2590

4.4065

18.4680

0.0020

76.95%

m = 24

LLA

10.6099

4.2429

22.8100

0

95.04%

n = 500

Oracle

19.4395

6.8118

41.0000

0

100%

p = 45

Lasso

17.4385

6.9993

36.2080

0

88.31%

m = 41

LLA

19.4471

6.8247

40.5440

0

98.89%

n = 700

Oracle

23.8089

8.0487

49.0000

0

100%

p = 53

Lasso

21.6534

8.2558

44.4980

0

90.81%

m = 49

LLA

23.8220

8.0807

48.6940

0

99.38%