pce

Polynomial Chaos Expansion surrogate model

Specification

  • Alias: None

  • Arguments: None

Child Keywords:

Required/Optional

Description of Group

Dakota Keyword

Dakota Keyword Description

Optional

p_refinement

Automatic polynomial order refinement

Optional

max_refinement_iterations

Maximum number of expansion refinement iterations

Required (Choose One)

Required (Choose One)

quadrature_order

Order for tensor-products of Gaussian quadrature rules

sparse_grid_level

Level to use in sparse grid integration or interpolation

cubature_integrand

Cubature using Stroud rules and their extensions

expansion_order

The (initial) order of a polynomial expansion

orthogonal_least_interpolation

Build a polynomial chaos expansion from simulation samples using orthogonal least interpolation.

import_expansion_file

Build a Polynomial Chaos Expansion (PCE) by importing expansion coefficients and a corresponding multi-index from a file

Optional (Choose One)

Basis Polynomial Family

askey

Select the standardized random variables (and associated basis polynomials) from the Askey family that best match the user-specified random variables.

wiener

Use standard normal random variables (along with Hermite orthogonal basis polynomials) when transforming to a standardized probability space.

Optional

normalized

The normalized specification requests output of PCE coefficients that correspond to normalized orthogonal basis polynomials

Optional

export_expansion_file

Export the coefficients and multi-index of a Polynomial Chaos Expansion (PCE) to a file

Optional (Choose One)

Covariance Type

diagonal_covariance

Display only the diagonal terms of the covariance matrix

full_covariance

Display the full covariance matrix

Description

Selects a polynomial chaos expansion (PCE) surrogate model to use in the Bayesian likelihood calculations. Most specification options are carried over for using PCE as a surrogate within the Bayesian framework.