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Table 5 Gene expression analysis on histologic grades of breast cancer

From: Ridle for sparse regression with mandatory covariates with application to the genetic assessment of histologic grades of breast cancer

 

No. selected \(\mathcal {M}\)

No. selected \(\mathcal {O}\)

MSE

Ridge

4

430

0.487

Lasso

2

19

0.260

Elastic net

2

14

0.286

\(\mathcal {M}\)-unpenalized lasso

4

21

0.257

\(\mathcal {M}\)-unpenalized elastic net

4

7

0.296

Ridle

4

24

0.239

  1. The \(\mathcal {M}\)-unpenalized lasso and \(\mathcal {M}\)-unpenalized elastic net were performed without penalization on the mandatory covariates. The elastic net and \(\mathcal {M}\)-unpenalized elastic net are built with alpha=0.2575 and alpha=0.8462, respectively, selected by cross-validation. Numbers of selected mandatory covariates \(\mathcal {M}\) and optional variables \(\mathcal {O}\), and mean-squared error (MSE) are shown. Smallest MSE is boldfaced