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Table 2 Example of mode enrichment when constructing the \(s^2\)-PGD solution of problem defined in Eq. (4.4)

From: Regularized regressions for parametric models based on separated representations

 

\(\varvec{x_1}\)

\(\varvec{x_2}\)

\(\varvec{x_3}\)

\(\varvec{x_4}\)

\(\varvec{x_5}\)

\(T_0\)

0

0

1.3218

0.1658

0.2213

\(T_1\)

0.369

0

−3.6109

0.5287

0.3541

\(T_2\)

0

−0.1236

4.387

0.1045

0.5085

\(T_3\)

0

0

−1.7597

0.7351

0.3519

\(T_4\)

0

0.0649

0

0

0

\(T_5\)

−0.1788

0

0

0

0

\(T_6\)

0

0

0

0

0

  1. As it can be observed, the method can correctly detect the non-zero elements in the two sparse dimensions of the separated representation