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Table 2 Confusion matrix when linear regression, lasso and rf were applied to the synthetic dataset (\(N=1000,N_1=10,M=10,K=3\))

From: Novel feature selection method via kernel tensor decomposition for improved multi-omics data analysis

 

Linear regression

Lasso

Rf

Adjusted

Adjusted

    

\(P_i \le 0.01\)

\(P_i > 0.01\)

Selected

not selected

Selected

Not selected

\(k=1\)

      

\(i \le 2N_1\)

0.07

19.93

4.62

15.383

17.55 (5.82)

2.45 (14.18)

\(i > 2N_1\)

0.03

979.97

2.12

977.88

495.43 (14.18)

484.57 (965.82)

\(k=2\)

      

\(i \le N_1\), \(2N_1< i \le 3N_1\)

0.07

19.93

4.70

15.30

17.69 (5.67)

2.31 (14.33)

Other than above

0.01

979.99

2.27

977.73

494.70 (14.33)

485.30 (965.67)

\(k=3\)

      

\(i \le N_1,3N_1< i \le 4N_1\)

0.09

19.91

4.55

15.45

17.71(5.46)

2.29 (14.54)

Other than above

0.01

979.99

2.12

977.78

496.68 (14.54)

483.32 (965.46)

  1. For cases when rf was employed, the results when the top most \(2 N_1\) features with larger absolute importance were selected have also been shown in parentheses