.. _method-bayes_calibration-queso-emulator-mf_pce:

""""""
mf_pce
""""""


Multifidelity Polynomial Chaos Expansion as an emulator model.


.. toctree::
   :hidden:
   :maxdepth: 1

   method-bayes_calibration-queso-emulator-mf_pce-p_refinement
   method-bayes_calibration-queso-emulator-mf_pce-max_refinement_iterations
   method-bayes_calibration-queso-emulator-mf_pce-allocation_control
   method-bayes_calibration-queso-emulator-mf_pce-discrepancy_emulation
   method-bayes_calibration-queso-emulator-mf_pce-quadrature_order_sequence
   method-bayes_calibration-queso-emulator-mf_pce-sparse_grid_level_sequence
   method-bayes_calibration-queso-emulator-mf_pce-expansion_order_sequence
   method-bayes_calibration-queso-emulator-mf_pce-orthogonal_least_interpolation
   method-bayes_calibration-queso-emulator-mf_pce-askey
   method-bayes_calibration-queso-emulator-mf_pce-wiener
   method-bayes_calibration-queso-emulator-mf_pce-normalized
   method-bayes_calibration-queso-emulator-mf_pce-export_expansion_file
   method-bayes_calibration-queso-emulator-mf_pce-diagonal_covariance
   method-bayes_calibration-queso-emulator-mf_pce-full_covariance


**Specification**

- *Alias:* None

- *Arguments:* None


**Child Keywords:**

+-------------------------+--------------------+-------------------------------+---------------------------------------------+
| Required/Optional       | Description of     | Dakota Keyword                | Dakota Keyword Description                  |
|                         | Group              |                               |                                             |
+=========================+====================+===============================+=============================================+
| Optional                                     | `p_refinement`__              | Automatic polynomial order refinement       |
+----------------------------------------------+-------------------------------+---------------------------------------------+
| Optional                                     | `max_refinement_iterations`__ | Maximum number of expansion refinement      |
|                                              |                               | iterations                                  |
+----------------------------------------------+-------------------------------+---------------------------------------------+
| Optional                                     | `allocation_control`__        | Sample allocation approach for              |
|                                              |                               | multifidelity expansions                    |
+----------------------------------------------+-------------------------------+---------------------------------------------+
| Optional                                     | `discrepancy_emulation`__     | Formulation for emulation of model          |
|                                              |                               | discrepancies.                              |
+-------------------------+--------------------+-------------------------------+---------------------------------------------+
| Optional (Choose One)   | Basis Polynomial   | `askey`__                     | Select the standardized random variables    |
|                         | Family             |                               | (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          |
+-------------------------+--------------------+-------------------------------+---------------------------------------------+

.. __: method-bayes_calibration-queso-emulator-mf_pce-p_refinement.html
__ method-bayes_calibration-queso-emulator-mf_pce-max_refinement_iterations.html
__ method-bayes_calibration-queso-emulator-mf_pce-allocation_control.html
__ method-bayes_calibration-queso-emulator-mf_pce-discrepancy_emulation.html
__ method-bayes_calibration-queso-emulator-mf_pce-askey.html
__ method-bayes_calibration-queso-emulator-mf_pce-wiener.html
__ method-bayes_calibration-queso-emulator-mf_pce-normalized.html
__ method-bayes_calibration-queso-emulator-mf_pce-export_expansion_file.html
__ method-bayes_calibration-queso-emulator-mf_pce-diagonal_covariance.html
__ method-bayes_calibration-queso-emulator-mf_pce-full_covariance.html



**Description**


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