Meta modelling¶
General classes¶
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Base class for metamodel algorithms. |
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Data structure containing a metamodel. |
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Scores a metamodel in order to perform its validation. |
Parametric¶
Taylor approximation¶
Refer to Taylor expansion.
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First order polynomial response surface by Taylor expansion. |
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Second-order Taylor expansion. |
Least squares approximation¶
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First order polynomial response surface by least squares. |
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Second order polynomial response surface by least squares. |
Linear model algorithm¶
Main classes¶
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Class used to create a linear regression model. |
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Result of a LinearModelAlgorithm. |
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Stepwise linear model algorithm. |
Post-processing¶
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Analyse a linear model. |
Validate a linear regression metamodel. |
Generalized Linear Model algorithm¶
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Algorithm for the evaluation of general linear models. |
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General linear model result. |
Gaussian Process Regression¶
Main classes¶
Gaussian process regression algorithm. |
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Fit gaussian process models |
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Gaussian process regression (aka kriging) result. |
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Gaussian process fitter result. |
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Conditional covariance post processing of a Gaussian Process Regression result. |
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GaussianProcessRandom vector, a conditioned Gaussian process. |
Construction of the regression basis¶
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Basis factory base class. |
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Constant basis factory. |
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Linear basis factory. |
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Quadratic basis factory. |
Functional chaos expansion¶
Main classes¶
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Functional chaos algorithm. |
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L2 approximation on an orthonormal basis using least-squares and a fixed basis. |
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L2 approximation on an orthonormal basis using least-squares and a fixed basis. |
Construction of the truncated multivariate orthogonal basis¶
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Base class for the construction of the truncated multivariate orthogonal basis. |
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Cleaning truncation strategy. |
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Fixed truncation strategy. |
Projection method¶
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Base class for the evaluation strategies of the approximation coefficients. |
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Integration strategy for the approximation coefficients. |
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Least squares strategy for the approximation coefficients. |
Least squares algorithms to compute the coefficients¶
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Approximation algorithm. |
Approximation algorithm factory base class. |
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Penalized least squares algorithm factory. |
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Penalized least squares algorithm. |
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Least squares metamodel selection factory. |
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Least squares metamodel selection factory. |
Model selection algorithm¶
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Basis sequence factory. |
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Least Angle Regression. |
Model selection criteria¶
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Fitting algorithm. |
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Corrected leave one out. |
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K-fold. |
Least Squares problem resolution¶
Refer to Least squares problems numerical methods.
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Base class for least square solvers. |
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Least squares solver using Cholesky decomposition. |
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Least squares solver using SVD decomposition. |
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Least squares solver using the QR decomposition. |
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Least squares solver using a sparse representation. |
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Design matrix cache. |
Results¶
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Functional chaos random vector. |
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Functional chaos result. |
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Sensitivity analysis based on functional chaos expansion. |
Validate a functional chaos metamodel. |
Functional chaos on fields¶
Functional metamodel algorithm based on chaos decomposition. |
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Functional metamodel result. |
Sobol indices from a functional decomposition. |
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Functional metamodel algorithm based on chaos decomposition. |