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

