.. _sphx_glr_auto_meta_modeling_polynomial_chaos_metamodel:

.. _Polynomial chaos metamodel:

Polynomial chaos metamodel
--------------------------



.. raw:: html

    <div class="sphx-glr-thumbnails">

.. thumbnail-parent-div-open

.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Apply a transform or inverse transform on your polynomial chaos">

.. only:: html

  .. image:: /auto_meta_modeling/polynomial_chaos_metamodel/images/thumb/sphx_glr_plot_chaos_distribution_transformation_thumb.png
    :alt:

  :ref:`sphx_glr_auto_meta_modeling_polynomial_chaos_metamodel_plot_chaos_distribution_transformation.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Apply a transform or inverse transform on your polynomial chaos</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Fit a distribution from an input sample">

.. only:: html

  .. image:: /auto_meta_modeling/polynomial_chaos_metamodel/images/thumb/sphx_glr_plot_chaos_build_distribution_thumb.png
    :alt:

  :ref:`sphx_glr_auto_meta_modeling_polynomial_chaos_metamodel_plot_chaos_build_distribution.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Fit a distribution from an input sample</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="The goal of this example is to create a polynomial chaos expansion using the FunctionalChaosAlg...">

.. only:: html

  .. image:: /auto_meta_modeling/polynomial_chaos_metamodel/images/thumb/sphx_glr_plot_functional_chaos_exploitation_thumb.png
    :alt:

  :ref:`sphx_glr_auto_meta_modeling_polynomial_chaos_metamodel_plot_functional_chaos_exploitation.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Polynomial chaos exploitation</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Compute grouped indices for the Ishigami function">

.. only:: html

  .. image:: /auto_meta_modeling/polynomial_chaos_metamodel/images/thumb/sphx_glr_plot_chaos_ishigami_grouped_indices_thumb.png
    :alt:

  :ref:`sphx_glr_auto_meta_modeling_polynomial_chaos_metamodel_plot_chaos_ishigami_grouped_indices.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Compute grouped indices for the Ishigami function</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Polynomial chaos graphs">

.. only:: html

  .. image:: /auto_meta_modeling/polynomial_chaos_metamodel/images/thumb/sphx_glr_plot_functional_chaos_graphs_thumb.png
    :alt:

  :ref:`sphx_glr_auto_meta_modeling_polynomial_chaos_metamodel_plot_functional_chaos_graphs.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Polynomial chaos graphs</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Validate a polynomial chaos">

.. only:: html

  .. image:: /auto_meta_modeling/polynomial_chaos_metamodel/images/thumb/sphx_glr_plot_chaos_draw_validation_thumb.png
    :alt:

  :ref:`sphx_glr_auto_meta_modeling_polynomial_chaos_metamodel_plot_chaos_draw_validation.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Validate a polynomial chaos</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Create a full or sparse polynomial chaos expansion">

.. only:: html

  .. image:: /auto_meta_modeling/polynomial_chaos_metamodel/images/thumb/sphx_glr_plot_functional_chaos_database_thumb.png
    :alt:

  :ref:`sphx_glr_auto_meta_modeling_polynomial_chaos_metamodel_plot_functional_chaos_database.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Create a full or sparse polynomial chaos expansion</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Create a polynomial chaos metamodel by integration on the cantilever beam">

.. only:: html

  .. image:: /auto_meta_modeling/polynomial_chaos_metamodel/images/thumb/sphx_glr_plot_chaos_cantilever_beam_integration_thumb.png
    :alt:

  :ref:`sphx_glr_auto_meta_modeling_polynomial_chaos_metamodel_plot_chaos_cantilever_beam_integration.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Create a polynomial chaos metamodel by integration on the cantilever beam</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Advanced polynomial chaos construction">

.. only:: html

  .. image:: /auto_meta_modeling/polynomial_chaos_metamodel/images/thumb/sphx_glr_plot_functional_chaos_advanced_ctors_thumb.png
    :alt:

  :ref:`sphx_glr_auto_meta_modeling_polynomial_chaos_metamodel_plot_functional_chaos_advanced_ctors.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Advanced polynomial chaos construction</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Create a polynomial chaos metamodel from a data set">

.. only:: html

  .. image:: /auto_meta_modeling/polynomial_chaos_metamodel/images/thumb/sphx_glr_plot_functional_chaos_thumb.png
    :alt:

  :ref:`sphx_glr_auto_meta_modeling_polynomial_chaos_metamodel_plot_functional_chaos.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Create a polynomial chaos metamodel from a data set</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Create a polynomial chaos for the Ishigami function: a quick start guide to polynomial chaos">

.. only:: html

  .. image:: /auto_meta_modeling/polynomial_chaos_metamodel/images/thumb/sphx_glr_plot_chaos_ishigami_thumb.png
    :alt:

  :ref:`sphx_glr_auto_meta_modeling_polynomial_chaos_metamodel_plot_chaos_ishigami.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Create a polynomial chaos for the Ishigami function: a quick start guide to polynomial chaos</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Plot enumeration rules">

.. only:: html

  .. image:: /auto_meta_modeling/polynomial_chaos_metamodel/images/thumb/sphx_glr_plot_enumeratefunction_thumb.png
    :alt:

  :ref:`sphx_glr_auto_meta_modeling_polynomial_chaos_metamodel_plot_enumeratefunction.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Plot enumeration rules</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Polynomial chaos expansion cross-validation">

.. only:: html

  .. image:: /auto_meta_modeling/polynomial_chaos_metamodel/images/thumb/sphx_glr_plot_chaos_cv_thumb.png
    :alt:

  :ref:`sphx_glr_auto_meta_modeling_polynomial_chaos_metamodel_plot_chaos_cv.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Polynomial chaos expansion cross-validation</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Polynomial chaos is sensitive to the degree">

.. only:: html

  .. image:: /auto_meta_modeling/polynomial_chaos_metamodel/images/thumb/sphx_glr_plot_chaos_beam_sensitivity_degree_thumb.png
    :alt:

  :ref:`sphx_glr_auto_meta_modeling_polynomial_chaos_metamodel_plot_chaos_beam_sensitivity_degree.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Polynomial chaos is sensitive to the degree</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Create a sparse chaos by integration">

.. only:: html

  .. image:: /auto_meta_modeling/polynomial_chaos_metamodel/images/thumb/sphx_glr_plot_chaos_cleaning_strategy_thumb.png
    :alt:

  :ref:`sphx_glr_auto_meta_modeling_polynomial_chaos_metamodel_plot_chaos_cleaning_strategy.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Create a sparse chaos by integration</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Compute Sobol&#x27; indices confidence intervals">

.. only:: html

  .. image:: /auto_meta_modeling/polynomial_chaos_metamodel/images/thumb/sphx_glr_plot_chaos_sobol_confidence_thumb.png
    :alt:

  :ref:`sphx_glr_auto_meta_modeling_polynomial_chaos_metamodel_plot_chaos_sobol_confidence.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Compute Sobol' indices confidence intervals</div>
    </div>


.. thumbnail-parent-div-close

.. raw:: html

    </div>


.. toctree::
   :hidden:

   /auto_meta_modeling/polynomial_chaos_metamodel/plot_chaos_distribution_transformation
   /auto_meta_modeling/polynomial_chaos_metamodel/plot_chaos_build_distribution
   /auto_meta_modeling/polynomial_chaos_metamodel/plot_functional_chaos_exploitation
   /auto_meta_modeling/polynomial_chaos_metamodel/plot_chaos_ishigami_grouped_indices
   /auto_meta_modeling/polynomial_chaos_metamodel/plot_functional_chaos_graphs
   /auto_meta_modeling/polynomial_chaos_metamodel/plot_chaos_draw_validation
   /auto_meta_modeling/polynomial_chaos_metamodel/plot_functional_chaos_database
   /auto_meta_modeling/polynomial_chaos_metamodel/plot_chaos_cantilever_beam_integration
   /auto_meta_modeling/polynomial_chaos_metamodel/plot_functional_chaos_advanced_ctors
   /auto_meta_modeling/polynomial_chaos_metamodel/plot_functional_chaos
   /auto_meta_modeling/polynomial_chaos_metamodel/plot_chaos_ishigami
   /auto_meta_modeling/polynomial_chaos_metamodel/plot_enumeratefunction
   /auto_meta_modeling/polynomial_chaos_metamodel/plot_chaos_cv
   /auto_meta_modeling/polynomial_chaos_metamodel/plot_chaos_beam_sensitivity_degree
   /auto_meta_modeling/polynomial_chaos_metamodel/plot_chaos_cleaning_strategy
   /auto_meta_modeling/polynomial_chaos_metamodel/plot_chaos_sobol_confidence