Dakota Reference Manual: pce

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pce

Polynomial Chaos Expansion surrogate model

## Specification

Alias: none

Argument(s): 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) | Group 1 | 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.
| Optional (Choose One) | Basis Polynomial Family (Group 2) | 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 (Group 3) | 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.

## See Also

These keywords may also be of interest:

- polynomial_chaos