.. _method-bayes_calibration-dream-emulator-mf_sc:

"""""
mf_sc
"""""


Multifidelity Stochastic Collocation as an emulator model.


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

   method-bayes_calibration-dream-emulator-mf_sc-p_refinement
   method-bayes_calibration-dream-emulator-mf_sc-h_refinement
   method-bayes_calibration-dream-emulator-mf_sc-max_refinement_iterations
   method-bayes_calibration-dream-emulator-mf_sc-allocation_control
   method-bayes_calibration-dream-emulator-mf_sc-discrepancy_emulation
   method-bayes_calibration-dream-emulator-mf_sc-quadrature_order_sequence
   method-bayes_calibration-dream-emulator-mf_sc-sparse_grid_level_sequence
   method-bayes_calibration-dream-emulator-mf_sc-piecewise
   method-bayes_calibration-dream-emulator-mf_sc-askey
   method-bayes_calibration-dream-emulator-mf_sc-wiener
   method-bayes_calibration-dream-emulator-mf_sc-use_derivatives
   method-bayes_calibration-dream-emulator-mf_sc-diagonal_covariance
   method-bayes_calibration-dream-emulator-mf_sc-full_covariance


**Specification**

- *Alias:* None

- *Arguments:* None


**Child Keywords:**

+-------------------------+--------------------+--------------------------------+-----------------------------------------------+
| Required/Optional       | Description of     | Dakota Keyword                 | Dakota Keyword Description                    |
|                         | Group              |                                |                                               |
+=========================+====================+================================+===============================================+
| Optional (Choose One)   | Automated          | `p_refinement`__               | Automatic polynomial order refinement         |
|                         | Refinement Type    +--------------------------------+-----------------------------------------------+
|                         |                    | `h_refinement`__               | Employ h-refinement to refine the grid        |
+-------------------------+--------------------+--------------------------------+-----------------------------------------------+
| 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.                                |
+-------------------------+--------------------+--------------------------------+-----------------------------------------------+
| Required (Choose One)   | Interpolation Grid | `quadrature_order_sequence`__  | Sequence of quadrature orders used in a       |
|                         | Type               |                                | multi-stage expansion                         |
|                         |                    +--------------------------------+-----------------------------------------------+
|                         |                    | `sparse_grid_level_sequence`__ | Sequence of sparse grid levels used in a      |
|                         |                    |                                | multi-stage expansion                         |
+-------------------------+--------------------+--------------------------------+-----------------------------------------------+
| Optional (Choose One)   | Basis Polynomial   | `piecewise`__                  | Use piecewise local basis functions           |
|                         | 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                                     | `use_derivatives`__            | Use derivative data to construct surrogate    |
|                                              |                                | models                                        |
+-------------------------+--------------------+--------------------------------+-----------------------------------------------+
| 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-dream-emulator-mf_sc-p_refinement.html
__ method-bayes_calibration-dream-emulator-mf_sc-h_refinement.html
__ method-bayes_calibration-dream-emulator-mf_sc-max_refinement_iterations.html
__ method-bayes_calibration-dream-emulator-mf_sc-allocation_control.html
__ method-bayes_calibration-dream-emulator-mf_sc-discrepancy_emulation.html
__ method-bayes_calibration-dream-emulator-mf_sc-quadrature_order_sequence.html
__ method-bayes_calibration-dream-emulator-mf_sc-sparse_grid_level_sequence.html
__ method-bayes_calibration-dream-emulator-mf_sc-piecewise.html
__ method-bayes_calibration-dream-emulator-mf_sc-askey.html
__ method-bayes_calibration-dream-emulator-mf_sc-wiener.html
__ method-bayes_calibration-dream-emulator-mf_sc-use_derivatives.html
__ method-bayes_calibration-dream-emulator-mf_sc-diagonal_covariance.html
__ method-bayes_calibration-dream-emulator-mf_sc-full_covariance.html



**Description**


Selects a multifidelity stochastic collocation (MF SC)
surrogate model to use in the Bayesian likelihood calculations.  Most
specification options are carried over for using MF SC as a surrogate
within the Bayesian framework.


