collocation_points

Number of collocation points used to estimate expansion coefficients

Specification

  • Alias: None

  • Arguments: INTEGER

Child Keywords:

Required/Optional

Description of Group

Dakota Keyword

Dakota Keyword Description

Optional (Choose One)

Regression Algorithm

least_squares

Compute the coefficients of a polynomial expansion using least squares

orthogonal_matching_pursuit

Compute the coefficients of a polynomial expansion using orthogonal matching pursuit (OMP)

basis_pursuit

Compute the coefficients of a polynomial expansion by solving the Basis Pursuit \(\ell_1\) -minimization problem using linear programming.

basis_pursuit_denoising

Compute the coefficients of a polynomial expansion by solving the Basis Pursuit Denoising \(\ell_1\) -minimization problem using second order cone optimization.

least_angle_regression

Compute the coefficients of a polynomial expansion by using the greedy least angle regression (LAR) method.

least_absolute_shrinkage

Compute the coefficients of a polynomial expansion by using the LASSO problem.

Optional

cross_validation

Use cross validation to choose the ‘best’ polynomial order of a polynomial chaos expansion.

Optional

ratio_order

Specify a non-linear the relationship between the expansion order of a polynomial chaos expansion and the number of samples that will be used to compute the PCE coefficients.

Optional

response_scaling

Perform bounds-scaling on response values prior to surrogate emulation

Optional

use_derivatives

Use derivative data to construct surrogate models

Optional

tensor_grid

Use sub-sampled tensor-product quadrature points to build a polynomial chaos expansion.

Optional

reuse_points

This describes the behavior of reuse of points in constructing polynomial chaos expansion models.

Optional

max_solver_iterations

Maximum iterations in determining polynomial coefficients

Description

Specify the number of collocation points used to estimate expansion coefficients using regression approaches.

A corresponding sequence specification is documented at, e.g., collocation_points_sequence and collocation_points_sequence