MetaModelValidation¶
- class MetaModelValidation(*args)¶
Base class to score a metamodel and perform validations.
Refer to Cross validation assessment of PC models.
- Parameters:
- inputValidationSample, outputValidationSample2-d sequence of float
The input and output validation samples, not used during the learning step.
- metaModel
Function
Metamodel to validate.
Notes
A MetaModelValidation object is used for the validation process of a metamodel. For that purpose, a dataset independent of the learning step, is used to score the surrogate model. Its main functionalities are :
To compute the predictivity factor
To get the residual sample, its non parametric distribution
To draw a model vs metamodel validation graph.
Currently only one dimensional output models are available.
Examples
>>> import openturns as ot >>> from math import pi >>> dist = ot.Uniform(-pi/2, pi/2) >>> # Model here is sin(x) >>> model = ot.SymbolicFunction(['x'], ['sin(x)']) >>> # We can build several types of models (kriging, pc, ...) >>> # We use a Taylor development (order 5) and compare the metamodel with the model >>> metaModel = ot.SymbolicFunction(['x'], ['x - x^3/6.0 + x^5/120.0']) >>> x = dist.getSample(10) >>> y = model(x) >>> # Validation of the model >>> val = ot.MetaModelValidation(x, y, metaModel) >>> # Compute the first indicator : q2 >>> q2 = val.computePredictivityFactor() >>> # Get the residual >>> residual = val.getResidualSample() >>> # Get the histogram of residual >>> histoResidual = val.getResidualDistribution(False) >>> # Draw the validation graph >>> graph = val.drawValidation()
Methods
Compute the predictivity factor.
Plot a model vs metamodel graph for visual validation.
Accessor to the object's name.
getId
()Accessor to the object's id.
Accessor to the input sample.
getName
()Accessor to the object's name.
Accessor to the output sample.
getResidualDistribution
([smooth])Compute the non parametric distribution of the residual sample.
Compute the residual sample.
Accessor to the object's shadowed id.
Accessor to the object's visibility state.
hasName
()Test if the object is named.
Test if the object has a distinguishable name.
setName
(name)Accessor to the object's name.
setShadowedId
(id)Accessor to the object's shadowed id.
setVisibility
(visible)Accessor to the object's visibility state.
- __init__(*args)¶
- computePredictivityFactor()¶
Compute the predictivity factor.
- Returns:
- q2
Point
The predictivity factor
- q2
Notes
The predictivity factor is given by :
- drawValidation()¶
Plot a model vs metamodel graph for visual validation.
- Returns:
- graph
GridLayout
The visual validation graph.
- graph
- getClassName()¶
Accessor to the object’s name.
- Returns:
- class_namestr
The object class name (object.__class__.__name__).
- getId()¶
Accessor to the object’s id.
- Returns:
- idint
Internal unique identifier.
- getInputSample()¶
Accessor to the input sample.
- Returns:
- inputSample
Sample
Input sample of a model evaluated apart.
- inputSample
- getName()¶
Accessor to the object’s name.
- Returns:
- namestr
The name of the object.
- getOutputSample()¶
Accessor to the output sample.
- Returns:
- outputSample
Sample
Output sample of a model evaluated apart.
- outputSample
- getResidualDistribution(smooth=True)¶
Compute the non parametric distribution of the residual sample.
- Parameters:
- smoothbool
Tells if distribution is smooth (true) or not. Default argument is true.
- Returns:
- residualDistribution
Distribution
The residual distribution.
- residualDistribution
Notes
The residual distribution is built thanks to
KernelSmoothing
if smooth argument is true. Otherwise, an histogram distribution is returned, thanks toHistogramFactory
.
- getResidualSample()¶
Compute the residual sample.
- Returns:
- residual
Sample
The residual sample.
- residual
Notes
The residual sample is given by :
- getShadowedId()¶
Accessor to the object’s shadowed id.
- Returns:
- idint
Internal unique identifier.
- getVisibility()¶
Accessor to the object’s visibility state.
- Returns:
- visiblebool
Visibility flag.
- hasName()¶
Test if the object is named.
- Returns:
- hasNamebool
True if the name is not empty.
- hasVisibleName()¶
Test if the object has a distinguishable name.
- Returns:
- hasVisibleNamebool
True if the name is not empty and not the default one.
- setName(name)¶
Accessor to the object’s name.
- Parameters:
- namestr
The name of the object.
- setShadowedId(id)¶
Accessor to the object’s shadowed id.
- Parameters:
- idint
Internal unique identifier.
- setVisibility(visible)¶
Accessor to the object’s visibility state.
- Parameters:
- visiblebool
Visibility flag.
Examples using the class¶
Create a polynomial chaos metamodel by integration on the cantilever beam
Create a polynomial chaos metamodel
Create a polynomial chaos for the Ishigami function: a quick start guide to polynomial chaos
Polynomial chaos expansion cross-validation
Polynomial chaos is sensitive to the degree
Create a sparse chaos by integration
Compute Sobol’ indices confidence intervals
Kriging : cantilever beam model
Kriging the cantilever beam model using HMAT
Example of multi output Kriging on the fire satellite model
Choose the trend basis of a kriging metamodel
Sequentially adding new points to a kriging
Estimate Sobol indices on a field to point function
Compute confidence intervals of a regression model from data