least_squares

Compute the coefficients of a polynomial expansion using least squares

Specification

  • Alias: None

  • Arguments: None

  • Default: svd

Child Keywords:

Required/Optional

Description of Group

Dakota Keyword

Dakota Keyword Description

Optional (Choose One)

LSQ Regression Approach

svd

Calculate the coefficients of a polynomial chaos expansion using the singular value decomposition.

equality_constrained

Calculate the coefficients of a polynomial chaos expansion using equality constrained least squares.

Description

Compute the coefficients of a polynomial expansion using least squares. Specifically SVD-based least-squares will be used for solving over-determined systems. For the situation when the number of function values is smaller than the number of terms in a PCE, but the total number of samples including gradient values is greater than the number of terms, the resulting over-determined system will be solved using equality constrained least squares