:orphan:



.. _sphx_glr_auto_meta_modeling:

.. _Meta modeling:

Meta modeling
=============


.. raw:: html

    <div class="sphx-glr-clear"></div>



.. _sphx_glr_auto_meta_modeling_general_purpose_metamodels:

.. _General purpose metamodels:

General purpose metamodels
--------------------------



.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Create a linear least squares model">

.. only:: html

 .. figure:: /auto_meta_modeling/general_purpose_metamodels/images/thumb/sphx_glr_plot_create_linear_least_squares_model_thumb.png
     :alt: Create a linear least squares model

     :ref:`sphx_glr_auto_meta_modeling_general_purpose_metamodels_plot_create_linear_least_squares_model.py`

.. raw:: html

    </div>


.. toctree::
   :hidden:

   /auto_meta_modeling/general_purpose_metamodels/plot_create_linear_least_squares_model

.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Create a general linear model metamodel">

.. only:: html

 .. figure:: /auto_meta_modeling/general_purpose_metamodels/images/thumb/sphx_glr_plot_general_linear_model_thumb.png
     :alt: Create a general linear model metamodel

     :ref:`sphx_glr_auto_meta_modeling_general_purpose_metamodels_plot_general_linear_model.py`

.. raw:: html

    </div>


.. toctree::
   :hidden:

   /auto_meta_modeling/general_purpose_metamodels/plot_general_linear_model

.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Taylor approximations">

.. only:: html

 .. figure:: /auto_meta_modeling/general_purpose_metamodels/images/thumb/sphx_glr_plot_taylor_approximation_thumb.png
     :alt: Taylor approximations

     :ref:`sphx_glr_auto_meta_modeling_general_purpose_metamodels_plot_taylor_approximation.py`

.. raw:: html

    </div>


.. toctree::
   :hidden:

   /auto_meta_modeling/general_purpose_metamodels/plot_taylor_approximation

.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Create a linear model">

.. only:: html

 .. figure:: /auto_meta_modeling/general_purpose_metamodels/images/thumb/sphx_glr_plot_linear_model_thumb.png
     :alt: Create a linear model

     :ref:`sphx_glr_auto_meta_modeling_general_purpose_metamodels_plot_linear_model.py`

.. raw:: html

    </div>


.. toctree::
   :hidden:

   /auto_meta_modeling/general_purpose_metamodels/plot_linear_model

.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Mixture of experts">

.. only:: html

 .. figure:: /auto_meta_modeling/general_purpose_metamodels/images/thumb/sphx_glr_plot_expert_mixture_thumb.png
     :alt: Mixture of experts

     :ref:`sphx_glr_auto_meta_modeling_general_purpose_metamodels_plot_expert_mixture.py`

.. raw:: html

    </div>


.. toctree::
   :hidden:

   /auto_meta_modeling/general_purpose_metamodels/plot_expert_mixture

.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Over-fitting and model selection">

.. only:: html

 .. figure:: /auto_meta_modeling/general_purpose_metamodels/images/thumb/sphx_glr_plot_overfitting_model_selection_thumb.png
     :alt: Over-fitting and model selection

     :ref:`sphx_glr_auto_meta_modeling_general_purpose_metamodels_plot_overfitting_model_selection.py`

.. raw:: html

    </div>


.. toctree::
   :hidden:

   /auto_meta_modeling/general_purpose_metamodels/plot_overfitting_model_selection
.. raw:: html

    <div class="sphx-glr-clear"></div>



.. _sphx_glr_auto_meta_modeling_polynomial_chaos_metamodel:

.. _Polynomial chaos metamodel:

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



.. raw:: html

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

.. only:: html

 .. figure:: /auto_meta_modeling/polynomial_chaos_metamodel/images/thumb/sphx_glr_plot_chaos_distribution_transformation_thumb.png
     :alt: Apply a transform or inverse transform on your polynomial chaos

     :ref:`sphx_glr_auto_meta_modeling_polynomial_chaos_metamodel_plot_chaos_distribution_transformation.py`

.. raw:: html

    </div>


.. toctree::
   :hidden:

   /auto_meta_modeling/polynomial_chaos_metamodel/plot_chaos_distribution_transformation

.. raw:: html

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

.. only:: html

 .. figure:: /auto_meta_modeling/polynomial_chaos_metamodel/images/thumb/sphx_glr_plot_chaos_build_distribution_thumb.png
     :alt: Fit a distribution from an input sample

     :ref:`sphx_glr_auto_meta_modeling_polynomial_chaos_metamodel_plot_chaos_build_distribution.py`

.. raw:: html

    </div>


.. toctree::
   :hidden:

   /auto_meta_modeling/polynomial_chaos_metamodel/plot_chaos_build_distribution

.. raw:: html

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

.. only:: html

 .. figure:: /auto_meta_modeling/polynomial_chaos_metamodel/images/thumb/sphx_glr_plot_functional_chaos_exploitation_thumb.png
     :alt: Polynomial chaos exploitation

     :ref:`sphx_glr_auto_meta_modeling_polynomial_chaos_metamodel_plot_functional_chaos_exploitation.py`

.. raw:: html

    </div>


.. toctree::
   :hidden:

   /auto_meta_modeling/polynomial_chaos_metamodel/plot_functional_chaos_exploitation

.. raw:: html

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

.. only:: html

 .. figure:: /auto_meta_modeling/polynomial_chaos_metamodel/images/thumb/sphx_glr_plot_functional_chaos_database_thumb.png
     :alt: Polynomial chaos over database

     :ref:`sphx_glr_auto_meta_modeling_polynomial_chaos_metamodel_plot_functional_chaos_database.py`

.. raw:: html

    </div>


.. toctree::
   :hidden:

   /auto_meta_modeling/polynomial_chaos_metamodel/plot_functional_chaos_database

.. raw:: html

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

.. only:: html

 .. figure:: /auto_meta_modeling/polynomial_chaos_metamodel/images/thumb/sphx_glr_plot_chaos_ishigami_grouped_indices_thumb.png
     :alt: Compute grouped indices for the Ishigami function

     :ref:`sphx_glr_auto_meta_modeling_polynomial_chaos_metamodel_plot_chaos_ishigami_grouped_indices.py`

.. raw:: html

    </div>


.. toctree::
   :hidden:

   /auto_meta_modeling/polynomial_chaos_metamodel/plot_chaos_ishigami_grouped_indices

.. raw:: html

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

.. only:: html

 .. figure:: /auto_meta_modeling/polynomial_chaos_metamodel/images/thumb/sphx_glr_plot_chaos_draw_validation_thumb.png
     :alt: Validate a polynomial chaos

     :ref:`sphx_glr_auto_meta_modeling_polynomial_chaos_metamodel_plot_chaos_draw_validation.py`

.. raw:: html

    </div>


.. toctree::
   :hidden:

   /auto_meta_modeling/polynomial_chaos_metamodel/plot_chaos_draw_validation

.. raw:: html

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

.. only:: html

 .. figure:: /auto_meta_modeling/polynomial_chaos_metamodel/images/thumb/sphx_glr_plot_functional_chaos_graphs_thumb.png
     :alt: Polynomial chaos graphs

     :ref:`sphx_glr_auto_meta_modeling_polynomial_chaos_metamodel_plot_functional_chaos_graphs.py`

.. raw:: html

    </div>


.. toctree::
   :hidden:

   /auto_meta_modeling/polynomial_chaos_metamodel/plot_functional_chaos_graphs

.. raw:: html

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

.. only:: html

 .. figure:: /auto_meta_modeling/polynomial_chaos_metamodel/images/thumb/sphx_glr_plot_chaos_cantilever_beam_integration_thumb.png
     :alt: Create a polynomial chaos metamodel by integration on the cantilever beam

     :ref:`sphx_glr_auto_meta_modeling_polynomial_chaos_metamodel_plot_chaos_cantilever_beam_integration.py`

.. raw:: html

    </div>


.. toctree::
   :hidden:

   /auto_meta_modeling/polynomial_chaos_metamodel/plot_chaos_cantilever_beam_integration

.. raw:: html

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

.. only:: html

 .. figure:: /auto_meta_modeling/polynomial_chaos_metamodel/images/thumb/sphx_glr_plot_functional_chaos_advanced_ctors_thumb.png
     :alt: Advanced polynomial chaos construction

     :ref:`sphx_glr_auto_meta_modeling_polynomial_chaos_metamodel_plot_functional_chaos_advanced_ctors.py`

.. raw:: html

    </div>


.. toctree::
   :hidden:

   /auto_meta_modeling/polynomial_chaos_metamodel/plot_functional_chaos_advanced_ctors

.. raw:: html

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

.. only:: html

 .. figure:: /auto_meta_modeling/polynomial_chaos_metamodel/images/thumb/sphx_glr_plot_functional_chaos_thumb.png
     :alt: Create a polynomial chaos metamodel

     :ref:`sphx_glr_auto_meta_modeling_polynomial_chaos_metamodel_plot_functional_chaos.py`

.. raw:: html

    </div>


.. toctree::
   :hidden:

   /auto_meta_modeling/polynomial_chaos_metamodel/plot_functional_chaos

.. 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

 .. figure:: /auto_meta_modeling/polynomial_chaos_metamodel/images/thumb/sphx_glr_plot_chaos_ishigami_thumb.png
     :alt: Create a polynomial chaos for the Ishigami function: a quick start guide to polynomial chaos

     :ref:`sphx_glr_auto_meta_modeling_polynomial_chaos_metamodel_plot_chaos_ishigami.py`

.. raw:: html

    </div>


.. toctree::
   :hidden:

   /auto_meta_modeling/polynomial_chaos_metamodel/plot_chaos_ishigami

.. raw:: html

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

.. only:: html

 .. figure:: /auto_meta_modeling/polynomial_chaos_metamodel/images/thumb/sphx_glr_plot_chaos_beam_sensitivity_degree_thumb.png
     :alt: Polynomial chaos is sensitive to the degree

     :ref:`sphx_glr_auto_meta_modeling_polynomial_chaos_metamodel_plot_chaos_beam_sensitivity_degree.py`

.. raw:: html

    </div>


.. toctree::
   :hidden:

   /auto_meta_modeling/polynomial_chaos_metamodel/plot_chaos_beam_sensitivity_degree
.. raw:: html

    <div class="sphx-glr-clear"></div>



.. _sphx_glr_auto_meta_modeling_kriging_metamodel:

.. _Kriging metamodel:

Kriging metamodel
-----------------



.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Create a metamodel using Kriging">

.. only:: html

 .. figure:: /auto_meta_modeling/kriging_metamodel/images/thumb/sphx_glr_plot_kriging_thumb.png
     :alt: Create a metamodel using Kriging

     :ref:`sphx_glr_auto_meta_modeling_kriging_metamodel_plot_kriging.py`

.. raw:: html

    </div>


.. toctree::
   :hidden:

   /auto_meta_modeling/kriging_metamodel/plot_kriging

.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Kriging the cantilever beam model">

.. only:: html

 .. figure:: /auto_meta_modeling/kriging_metamodel/images/thumb/sphx_glr_plot_kriging_cantilever_beam_thumb.png
     :alt: Kriging the cantilever beam model

     :ref:`sphx_glr_auto_meta_modeling_kriging_metamodel_plot_kriging_cantilever_beam.py`

.. raw:: html

    </div>


.. toctree::
   :hidden:

   /auto_meta_modeling/kriging_metamodel/plot_kriging_cantilever_beam

.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Kriging the cantilever beam model using HMAT">

.. only:: html

 .. figure:: /auto_meta_modeling/kriging_metamodel/images/thumb/sphx_glr_plot_kriging_cantilever_beam_hmat_thumb.png
     :alt: Kriging the cantilever beam model using HMAT

     :ref:`sphx_glr_auto_meta_modeling_kriging_metamodel_plot_kriging_cantilever_beam_hmat.py`

.. raw:: html

    </div>


.. toctree::
   :hidden:

   /auto_meta_modeling/kriging_metamodel/plot_kriging_cantilever_beam_hmat

.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Configuring an arbitrary trend in Kriging">

.. only:: html

 .. figure:: /auto_meta_modeling/kriging_metamodel/images/thumb/sphx_glr_plot_kriging_beam_arbitrary_trend_thumb.png
     :alt: Configuring an arbitrary trend in Kriging

     :ref:`sphx_glr_auto_meta_modeling_kriging_metamodel_plot_kriging_beam_arbitrary_trend.py`

.. raw:: html

    </div>


.. toctree::
   :hidden:

   /auto_meta_modeling/kriging_metamodel/plot_kriging_beam_arbitrary_trend

.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Configuring the trend in Kriging">

.. only:: html

 .. figure:: /auto_meta_modeling/kriging_metamodel/images/thumb/sphx_glr_plot_kriging_beam_trend_thumb.png
     :alt: Configuring the trend in Kriging

     :ref:`sphx_glr_auto_meta_modeling_kriging_metamodel_plot_kriging_beam_trend.py`

.. raw:: html

    </div>


.. toctree::
   :hidden:

   /auto_meta_modeling/kriging_metamodel/plot_kriging_beam_trend

.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Simulate new trajectories from a kriging metamodel">

.. only:: html

 .. figure:: /auto_meta_modeling/kriging_metamodel/images/thumb/sphx_glr_plot_kriging_simulate_thumb.png
     :alt: Simulate new trajectories from a kriging metamodel

     :ref:`sphx_glr_auto_meta_modeling_kriging_metamodel_plot_kriging_simulate.py`

.. raw:: html

    </div>


.. toctree::
   :hidden:

   /auto_meta_modeling/kriging_metamodel/plot_kriging_simulate

.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Create a kriging metamodel in one dimension">

.. only:: html

 .. figure:: /auto_meta_modeling/kriging_metamodel/images/thumb/sphx_glr_plot_kriging_1D_thumb.png
     :alt: Create a kriging metamodel in one dimension

     :ref:`sphx_glr_auto_meta_modeling_kriging_metamodel_plot_kriging_1D.py`

.. raw:: html

    </div>


.. toctree::
   :hidden:

   /auto_meta_modeling/kriging_metamodel/plot_kriging_1D

.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Configure the optimization solver of a kriging algorithm">

.. only:: html

 .. figure:: /auto_meta_modeling/kriging_metamodel/images/thumb/sphx_glr_plot_kriging_hyperparameters_optimization_thumb.png
     :alt: Configure the optimization solver of a kriging algorithm

     :ref:`sphx_glr_auto_meta_modeling_kriging_metamodel_plot_kriging_hyperparameters_optimization.py`

.. raw:: html

    </div>


.. toctree::
   :hidden:

   /auto_meta_modeling/kriging_metamodel/plot_kriging_hyperparameters_optimization

.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Sequentially adding new points to a kriging">

.. only:: html

 .. figure:: /auto_meta_modeling/kriging_metamodel/images/thumb/sphx_glr_plot_kriging_sequential_thumb.png
     :alt: Sequentially adding new points to a kriging

     :ref:`sphx_glr_auto_meta_modeling_kriging_metamodel_plot_kriging_sequential.py`

.. raw:: html

    </div>


.. toctree::
   :hidden:

   /auto_meta_modeling/kriging_metamodel/plot_kriging_sequential

.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Advanced kriging">

.. only:: html

 .. figure:: /auto_meta_modeling/kriging_metamodel/images/thumb/sphx_glr_plot_kriging_advanced_thumb.png
     :alt: Advanced kriging

     :ref:`sphx_glr_auto_meta_modeling_kriging_metamodel_plot_kriging_advanced.py`

.. raw:: html

    </div>


.. toctree::
   :hidden:

   /auto_meta_modeling/kriging_metamodel/plot_kriging_advanced
.. raw:: html

    <div class="sphx-glr-clear"></div>



.. _sphx_glr_auto_meta_modeling_low_rank_tensors_metamodel:

.. _Low rank tensors metamodel:

Low rank tensors metamodel
--------------------------



.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Tensor approximation of the cantilever beam model">

.. only:: html

 .. figure:: /auto_meta_modeling/low_rank_tensors_metamodel/images/thumb/sphx_glr_plot_tensor_cantilever_beam_thumb.png
     :alt: Tensor approximation of the cantilever beam model

     :ref:`sphx_glr_auto_meta_modeling_low_rank_tensors_metamodel_plot_tensor_cantilever_beam.py`

.. raw:: html

    </div>


.. toctree::
   :hidden:

   /auto_meta_modeling/low_rank_tensors_metamodel/plot_tensor_cantilever_beam
.. raw:: html

    <div class="sphx-glr-clear"></div>



.. _sphx_glr_auto_meta_modeling_fields_metamodels:

.. _Fields metamodels:

Fields metamodels
-----------------



.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Viscous free fall: metamodel of a field function">

.. only:: html

 .. figure:: /auto_meta_modeling/fields_metamodels/images/thumb/sphx_glr_plot_viscous_fall_metamodel_thumb.png
     :alt: Viscous free fall: metamodel of a field function

     :ref:`sphx_glr_auto_meta_modeling_fields_metamodels_plot_viscous_fall_metamodel.py`

.. raw:: html

    </div>


.. toctree::
   :hidden:

   /auto_meta_modeling/fields_metamodels/plot_viscous_fall_metamodel

.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Metamodel of a field function">

.. only:: html

 .. figure:: /auto_meta_modeling/fields_metamodels/images/thumb/sphx_glr_plot_fieldfunction_metamodel_thumb.png
     :alt: Metamodel of a field function

     :ref:`sphx_glr_auto_meta_modeling_fields_metamodels_plot_fieldfunction_metamodel.py`

.. raw:: html

    </div>


.. toctree::
   :hidden:

   /auto_meta_modeling/fields_metamodels/plot_fieldfunction_metamodel
.. raw:: html

    <div class="sphx-glr-clear"></div>



.. only :: html

 .. container:: sphx-glr-footer
    :class: sphx-glr-footer-gallery


  .. container:: sphx-glr-download sphx-glr-download-python

    :download:`Download all examples in Python source code: auto_meta_modeling_python.zip </auto_meta_modeling/auto_meta_modeling_python.zip>`



  .. container:: sphx-glr-download sphx-glr-download-jupyter

    :download:`Download all examples in Jupyter notebooks: auto_meta_modeling_jupyter.zip </auto_meta_modeling/auto_meta_modeling_jupyter.zip>`


.. only:: html

 .. rst-class:: sphx-glr-signature

    `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.github.io>`_