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Table 1 Example of mode enrichment when constructing the \(s^2\)-PGD solution of problem defined in Eq. (4.3)

From: Regularized regressions for parametric models based on separated representations

 

\(\varvec{x_1}\)

\(\varvec{x_2}\)

\(\varvec{x_3}\)

\(T_0\)

0.0312

0.0016

0.6806

\(T_1\)

0.1307

0

7.78E−09

\(T_2\)

0.1184

0

0.0009

\(T_3\)

0.0097

0

1.26E−07

\(T_4\)

0

0

0

\(T_5\)

0

5.8792

0

\(T_6\)

0

0

0

\(T_7\)

0

0

0

\(T_8\)

0

0

0

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