.. _method-multilevel_polynomial_chaos-expansion_order_sequence-basis_type:

""""""""""
basis_type
""""""""""


Specify the type of basis truncation to be used for a Polynomial Chaos Expansion.


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

   method-multilevel_polynomial_chaos-expansion_order_sequence-basis_type-tensor_product
   method-multilevel_polynomial_chaos-expansion_order_sequence-basis_type-total_order
   method-multilevel_polynomial_chaos-expansion_order_sequence-basis_type-adapted


**Specification**

- *Alias:* None

- *Arguments:* None


**Child Keywords:**

+-------------------------+--------------------+--------------------+-----------------------------------------------+
| Required/Optional       | Description of     | Dakota Keyword     | Dakota Keyword Description                    |
|                         | Group              |                    |                                               |
+=========================+====================+====================+===============================================+
| Required (Choose One)   | PCE Basis Type     | `tensor_product`__ | Use a tensor-product index set to construct a |
|                         |                    |                    | polynomial chaos expansion.                   |
|                         |                    +--------------------+-----------------------------------------------+
|                         |                    | `total_order`__    | Use a total-order index set to construct a    |
|                         |                    |                    | polynomial chaos expansion.                   |
|                         |                    +--------------------+-----------------------------------------------+
|                         |                    | `adapted`__        | Use adaptive basis selection to choose the    |
|                         |                    |                    | basis terms in a polynomial chaos expansion.  |
+-------------------------+--------------------+--------------------+-----------------------------------------------+

.. __: method-multilevel_polynomial_chaos-expansion_order_sequence-basis_type-tensor_product.html
__ method-multilevel_polynomial_chaos-expansion_order_sequence-basis_type-total_order.html
__ method-multilevel_polynomial_chaos-expansion_order_sequence-basis_type-adapted.html



**Description**


Specify the type of basis truncation that determines the terms that are included within a
Polynomial Chaos Expansion.  Options include tensor-product, total-order, and adapted.


