SpaceFillingPhiP

class SpaceFillingPhiP(*args)

Space filling PhiP.

Parameters:
pint (default=50)

Parameter for parametrizing the criterion

Notes

Computes the criterion:

\begin{equation*} \phi_p(X) = \sum_{i=1}^{j} \sum_{j=1}^{n} \left( |x^{(i)} - x^{(j)}|^{-p} \right)^{\frac{1}{p}} \end{equation*}

This criterion is known to converge to mindist (minimal distance between two distinct elements of the design) criterion when p tends to infinity.

Methods

evaluate(sample)

Compute the PhiP criterion for a specific design.

getClassName()

Accessor to the object's name.

getName()

Accessor to the object's name.

hasName()

Test if the object is named.

isMinimizationProblem()

Minimization flag accessor.

perturbLHS(oldDesign, oldCriterion, row1, ...)

Elementary perturbation.

setName(name)

Accessor to the object's name.
__init__(*args)
evaluate(sample)

Compute the PhiP criterion for a specific design.

Parameters:
designSample or 2d array like

The design

Returns:
critfloat

The phiP criterion

Examples

>>> import openturns as ot
>>> # Build an LHS using openturns class
>>> lhs = ot.LHSExperiment(ot.Uniform(), 100)
>>> design = lhs.generate()
>>> # Compute the PhiP criterion
>>> crit = ot.SpaceFillingPhiP(50).evaluate(design)
getClassName()

Accessor to the object’s name.

Returns:
class_namestr

The object class name (object.__class__.__name__).

getName()

Accessor to the object’s name.

Returns:
namestr

The name of the object.

hasName()

Test if the object is named.

Returns:
hasNamebool

True if the name is not empty.

isMinimizationProblem()

Minimization flag accessor.

Returns:
isMinimizationbool

Whether the problem is a minimization.

perturbLHS(oldDesign, oldCriterion, row1, row2, column)

Elementary perturbation.

Parameters:
designSample

The design to perturb (in-place)

oldCriterionfloat

The previous value of the criterion

row1int

First row index

row2int

Second row index

Returns:
criterionfloat

The value of the criterion

setName(name)

Accessor to the object’s name.

Parameters:
namestr

The name of the object.

Examples using the class

Optimize an LHS design of experiments

Optimize an LHS design of experiments