:orphan: .. _Meta modeling: Meta modeling ============= .. raw:: html
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General purpose metamodels -------------------------- .. raw:: html
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.. only:: html .. image:: /auto_meta_modeling/general_purpose_metamodels/images/thumb/sphx_glr_plot_create_linear_least_squares_model_thumb.png :alt: :ref:`sphx_glr_auto_meta_modeling_general_purpose_metamodels_plot_create_linear_least_squares_model.py` .. raw:: html
Create a linear least squares model
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.. only:: html .. image:: /auto_meta_modeling/general_purpose_metamodels/images/thumb/sphx_glr_plot_general_linear_model_thumb.png :alt: :ref:`sphx_glr_auto_meta_modeling_general_purpose_metamodels_plot_general_linear_model.py` .. raw:: html
Create a general linear model metamodel
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.. only:: html .. image:: /auto_meta_modeling/general_purpose_metamodels/images/thumb/sphx_glr_plot_taylor_approximation_thumb.png :alt: :ref:`sphx_glr_auto_meta_modeling_general_purpose_metamodels_plot_taylor_approximation.py` .. raw:: html
Taylor approximations
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.. only:: html .. image:: /auto_meta_modeling/general_purpose_metamodels/images/thumb/sphx_glr_plot_linear_model_thumb.png :alt: :ref:`sphx_glr_auto_meta_modeling_general_purpose_metamodels_plot_linear_model.py` .. raw:: html
Create a linear model
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.. only:: html .. image:: /auto_meta_modeling/general_purpose_metamodels/images/thumb/sphx_glr_plot_expert_mixture_thumb.png :alt: :ref:`sphx_glr_auto_meta_modeling_general_purpose_metamodels_plot_expert_mixture.py` .. raw:: html
Mixture of experts
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.. only:: html .. image:: /auto_meta_modeling/general_purpose_metamodels/images/thumb/sphx_glr_plot_stepwise_thumb.png :alt: :ref:`sphx_glr_auto_meta_modeling_general_purpose_metamodels_plot_stepwise.py` .. raw:: html
Perform stepwise regression
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.. only:: html .. image:: /auto_meta_modeling/general_purpose_metamodels/images/thumb/sphx_glr_plot_overfitting_model_selection_thumb.png :alt: :ref:`sphx_glr_auto_meta_modeling_general_purpose_metamodels_plot_overfitting_model_selection.py` .. raw:: html
Over-fitting and model selection
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Polynomial chaos metamodel -------------------------- .. raw:: html
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.. 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
Apply a transform or inverse transform on your polynomial chaos
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.. 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
Fit a distribution from an input sample
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.. 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
Polynomial chaos exploitation
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.. 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
Polynomial chaos over database
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.. 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
Compute grouped indices for the Ishigami function
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.. 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
Validate a polynomial chaos
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.. 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
Polynomial chaos graphs
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.. 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
Create a polynomial chaos metamodel by integration on the cantilever beam
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.. 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
Advanced polynomial chaos construction
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.. 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
Create a polynomial chaos metamodel
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.. 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
Create a polynomial chaos for the Ishigami function: a quick start guide to polynomial chaos
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.. 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
Plot enumeration rules
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.. 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
Polynomial chaos expansion cross-validation
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.. 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
Polynomial chaos is sensitive to the degree
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.. 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
Create a sparse chaos by integration
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.. 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
Compute Sobol' indices confidence intervals
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Kriging metamodel ----------------- .. raw:: html
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.. only:: html .. image:: /auto_meta_modeling/kriging_metamodel/images/thumb/sphx_glr_plot_propagate_kriging_ishigami_thumb.png :alt: :ref:`sphx_glr_auto_meta_modeling_kriging_metamodel_plot_propagate_kriging_ishigami.py` .. raw:: html
Kriging: propagate uncertainties
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.. only:: html .. image:: /auto_meta_modeling/kriging_metamodel/images/thumb/sphx_glr_plot_kriging_thumb.png :alt: :ref:`sphx_glr_auto_meta_modeling_kriging_metamodel_plot_kriging.py` .. raw:: html
Kriging : multiple input dimensions
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.. only:: html .. image:: /auto_meta_modeling/kriging_metamodel/images/thumb/sphx_glr_plot_kriging_likelihood_thumb.png :alt: :ref:`sphx_glr_auto_meta_modeling_kriging_metamodel_plot_kriging_likelihood.py` .. raw:: html
Kriging : draw the likelihood
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.. only:: html .. image:: /auto_meta_modeling/kriging_metamodel/images/thumb/sphx_glr_plot_kriging_cantilever_beam_thumb.png :alt: :ref:`sphx_glr_auto_meta_modeling_kriging_metamodel_plot_kriging_cantilever_beam.py` .. raw:: html
Kriging : cantilever beam model
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.. only:: html .. image:: /auto_meta_modeling/kriging_metamodel/images/thumb/sphx_glr_plot_kriging_beam_arbitrary_trend_thumb.png :alt: :ref:`sphx_glr_auto_meta_modeling_kriging_metamodel_plot_kriging_beam_arbitrary_trend.py` .. raw:: html
Kriging: choose an arbitrary trend
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.. only:: html .. image:: /auto_meta_modeling/kriging_metamodel/images/thumb/sphx_glr_plot_kriging_cantilever_beam_hmat_thumb.png :alt: :ref:`sphx_glr_auto_meta_modeling_kriging_metamodel_plot_kriging_cantilever_beam_hmat.py` .. raw:: html
Kriging the cantilever beam model using HMAT
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.. only:: html .. image:: /auto_meta_modeling/kriging_metamodel/images/thumb/sphx_glr_plot_kriging_multioutput_firesatellite_thumb.png :alt: :ref:`sphx_glr_auto_meta_modeling_kriging_metamodel_plot_kriging_multioutput_firesatellite.py` .. raw:: html
Example of multi output Kriging on the fire satellite model
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.. only:: html .. image:: /auto_meta_modeling/kriging_metamodel/images/thumb/sphx_glr_plot_kriging_simulate_thumb.png :alt: :ref:`sphx_glr_auto_meta_modeling_kriging_metamodel_plot_kriging_simulate.py` .. raw:: html
Kriging : generate trajectories from a metamodel
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.. only:: html .. image:: /auto_meta_modeling/kriging_metamodel/images/thumb/sphx_glr_plot_kriging_beam_trend_thumb.png :alt: :ref:`sphx_glr_auto_meta_modeling_kriging_metamodel_plot_kriging_beam_trend.py` .. raw:: html
Kriging: choose a polynomial trend on the beam model
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.. only:: html .. image:: /auto_meta_modeling/kriging_metamodel/images/thumb/sphx_glr_plot_kriging_isotropic_thumb.png :alt: :ref:`sphx_glr_auto_meta_modeling_kriging_metamodel_plot_kriging_isotropic.py` .. raw:: html
Kriging with an isotropic covariance function
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.. only:: html .. image:: /auto_meta_modeling/kriging_metamodel/images/thumb/sphx_glr_plot_kriging_branin_function_thumb.png :alt: :ref:`sphx_glr_auto_meta_modeling_kriging_metamodel_plot_kriging_branin_function.py` .. raw:: html
Kriging: metamodel of the Branin-Hoo function
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.. only:: html .. image:: /auto_meta_modeling/kriging_metamodel/images/thumb/sphx_glr_plot_kriging_1d_thumb.png :alt: :ref:`sphx_glr_auto_meta_modeling_kriging_metamodel_plot_kriging_1d.py` .. raw:: html
Kriging : quick-start
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.. only:: html .. image:: /auto_meta_modeling/kriging_metamodel/images/thumb/sphx_glr_plot_kriging_sequential_thumb.png :alt: :ref:`sphx_glr_auto_meta_modeling_kriging_metamodel_plot_kriging_sequential.py` .. raw:: html
Sequentially adding new points to a kriging
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.. only:: html .. image:: /auto_meta_modeling/kriging_metamodel/images/thumb/sphx_glr_plot_kriging_advanced_thumb.png :alt: :ref:`sphx_glr_auto_meta_modeling_kriging_metamodel_plot_kriging_advanced.py` .. raw:: html
Advanced kriging
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.. only:: html .. image:: /auto_meta_modeling/kriging_metamodel/images/thumb/sphx_glr_plot_kriging_hyperparameters_optimization_thumb.png :alt: :ref:`sphx_glr_auto_meta_modeling_kriging_metamodel_plot_kriging_hyperparameters_optimization.py` .. raw:: html
Kriging :configure the optimization solver
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.. only:: html .. image:: /auto_meta_modeling/kriging_metamodel/images/thumb/sphx_glr_plot_kriging_chose_trend_thumb.png :alt: :ref:`sphx_glr_auto_meta_modeling_kriging_metamodel_plot_kriging_chose_trend.py` .. raw:: html
Kriging: choose a polynomial trend
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.. only:: html .. image:: /auto_meta_modeling/kriging_metamodel/images/thumb/sphx_glr_plot_draw_covariance_models_thumb.png :alt: :ref:`sphx_glr_auto_meta_modeling_kriging_metamodel_plot_draw_covariance_models.py` .. raw:: html
Kriging : draw covariance models
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.. only:: html .. image:: /auto_meta_modeling/kriging_metamodel/images/thumb/sphx_glr_plot_kriging_categorical_thumb.png :alt: :ref:`sphx_glr_auto_meta_modeling_kriging_metamodel_plot_kriging_categorical.py` .. raw:: html
Kriging: metamodel with continuous and categorical variables
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Fields metamodels ----------------- .. raw:: html
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.. only:: html .. image:: /auto_meta_modeling/fields_metamodels/images/thumb/sphx_glr_plot_karhunenloeve_validation_thumb.png :alt: :ref:`sphx_glr_auto_meta_modeling_fields_metamodels_plot_karhunenloeve_validation.py` .. raw:: html
Validation of a Karhunen-Loeve decomposition
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.. only:: html .. image:: /auto_meta_modeling/fields_metamodels/images/thumb/sphx_glr_plot_viscous_fall_metamodel_thumb.png :alt: :ref:`sphx_glr_auto_meta_modeling_fields_metamodels_plot_viscous_fall_metamodel.py` .. raw:: html
Viscous free fall: metamodel of a field function
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.. only:: html .. image:: /auto_meta_modeling/fields_metamodels/images/thumb/sphx_glr_plot_fieldfunction_metamodel_thumb.png :alt: :ref:`sphx_glr_auto_meta_modeling_fields_metamodels_plot_fieldfunction_metamodel.py` .. raw:: html
Metamodel of a field function
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.. toctree:: :hidden: :includehidden: /auto_meta_modeling/general_purpose_metamodels/index.rst /auto_meta_modeling/polynomial_chaos_metamodel/index.rst /auto_meta_modeling/kriging_metamodel/index.rst /auto_meta_modeling/fields_metamodels/index.rst .. only:: html .. container:: sphx-glr-footer 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 ` .. container:: sphx-glr-download sphx-glr-download-jupyter :download:`Download all examples in Jupyter notebooks: auto_meta_modeling_jupyter.zip `