sgpp::optimization Namespace Reference

Namespaces
namespace	file_io
	Namespace with functions to write data (vectors, matrices, grids, ...) to a file.
namespace	math
	Namespace with linear algebra functions.
namespace	optimizer
namespace	test_problems

Classes
class	ASInterpolantScalarFunction
	Sparse grid interpolant of a scalar-valued function. More...
class	ASInterpolantScalarFunctionGradient
	Sparse grid interpolant gradient of a scalar-valued function $f colon mathbb{R}^d to mathbb{R}$ (in contrast to ASInterpolantScalarFunctionGradient's $f colon [0,1]^d to mathbb{R}$) More...
class	FuzzyExtensionPrinciple
	Abstract class for Zadeh's fuzzy extension principle to propagate fuzzy input uncertainties through a function to obtain a fuzzy output uncertainty. More...
class	FuzzyExtensionPrincipleViaOptimization
	Zadeh's fuzzy extension principle by solving optimization problems for each \(\alpha\) level. More...
class	FuzzyExtensionPrincipleViaTransformation
	Zadeh's fuzzy extension principle by the transformation method, where the optimization problems are solved by sampling the optimization domains and taking the best points. More...
class	FuzzyExtensionPrincipleViaVertexMethod
	Zadeh's fuzzy extension principle by the vertex method, where the optimization problems are solved by simply taking the best corners of the confidence intervals. More...
class	FuzzyInterval
	Abstract class for a fuzzy interval. More...
class	FuzzyIntervalViaConfidenceInterval
	Abstract class for a fuzzy interval which is defined by stating its confidence intervals \((\tilde{x})_\alpha\) for all \(\alpha \in [0, 1]\). More...
class	FuzzyIntervalViaMembershipFunction
	Abstract class for a fuzzy interval which is defined by stating its membership function \(\mu_{\tilde{x}}\colon X \to [0, 1]\). More...
class	HashRefinementMultiple
	Descendant of base::HashRefinement refining without the generation of hierarchical ancestors. More...
class	InterpolatedFuzzyInterval
	Fuzzy interval by piecewise linear interpolation of sample points \((x_i, \alpha_i)\) of the membership function \(\mu_{\tilde{x}}\), i.e., \(\mu_{\tilde{x}}(x_i) = \alpha_i\) ( \(i = 1, \dotsc, n\)). More...
class	IterativeGridGenerator
	Abstract base class for iterative grid generation methods. More...
class	IterativeGridGeneratorFuzzyRitterNovak
	Iterative grid generation based on Ritter/Novak's refinement criterion like IterativeGridGeneratorRitterNovak, but adapted for the use with fuzzy intervals. More...
class	IterativeGridGeneratorLinearSurplus
	Iterative grid generation based on linear surplusses. More...
class	IterativeGridGeneratorRitterNovak
	Iterative grid generation based on Ritter/Novak's refinement criterion. More...
class	IterativeGridGeneratorSOO
	Iterative grid generator using simultaneous optimistic optimization (SOO). More...
class	OperationMultipleHierarchisation
	Abstract operation for hierarchization and dehierarchization for multiple sets of function values at the grid nodes. More...
class	OperationMultipleHierarchisationBspline
	Hierarchisation operation for B-spline basis functions on Noboundary grids. More...
class	OperationMultipleHierarchisationBsplineBoundary
	Hierarchisation operation for B-spline basis functions on Boundary grids. More...
class	OperationMultipleHierarchisationBsplineClenshawCurtis
	Hierarchisation operation for B-spline basis functions on Clenshaw-Curtis grids. More...
class	OperationMultipleHierarchisationFundamentalNakSplineBoundary
	Hierarchisation operation for B-spline basis functions on Noboundary grids. More...
class	OperationMultipleHierarchisationFundamentalSpline
	Hierarchisation operation for B-spline basis functions on Noboundary grids. More...
class	OperationMultipleHierarchisationFundamentalSplineBoundary
	Hierarchisation operation for B-spline basis functions on Noboundary grids. More...
class	OperationMultipleHierarchisationLinear
	Hierarchisation operation for linear basis functions on Noboundary grids. More...
class	OperationMultipleHierarchisationLinearBoundary
	Hierarchisation operation for linear basis functions on Boundary grids. More...
class	OperationMultipleHierarchisationLinearClenshawCurtis
	Hierarchisation operation for linear basis functions on Clenshaw-Curtis grids. More...
class	OperationMultipleHierarchisationLinearClenshawCurtisBoundary
	Hierarchisation operation for linear basis functions on Clenshaw-Curtis grids. More...
class	OperationMultipleHierarchisationModBspline
	Hierarchisation operation for modified B-spline basis functions on Noboundary grids. More...
class	OperationMultipleHierarchisationModBsplineClenshawCurtis
	Hierarchisation operation for modified B-spline basis functions on Noboundary grids. More...
class	OperationMultipleHierarchisationModFundamentalSpline
	Hierarchisation operation for modified B-spline basis functions on Noboundary grids. More...
class	OperationMultipleHierarchisationModLinear
	Hierarchisation operation for modified linear basis functions on Noboundary grids. More...
class	OperationMultipleHierarchisationModNakBspline
	Hierarchisation operation for modified B-spline basis functions on Noboundary grids with not-a-knot boundary conditions. More...
class	OperationMultipleHierarchisationModWavelet
	Hierarchisation operation for modified wavelet basis functions on Noboundary grids. More...
class	OperationMultipleHierarchisationModWeaklyFundamentalNakSpline
	Hierarchisation operation for modified weakly fundamental spline basis functions on Noboundary grids with not-a-knot boundary conditions. More...
class	OperationMultipleHierarchisationNakBspline
	Hierarchisation operation for B-spline basis functions on Boundary grids. More...
class	OperationMultipleHierarchisationNakBsplineBoundary
	Hierarchisation operation for B-spline basis functions on Boundary grids with not-a-knot boundary conditions. More...
class	OperationMultipleHierarchisationNakBsplineExtended
	Hierarchisation operation for B-spline basis functions on Boundary grids. More...
class	OperationMultipleHierarchisationNaturalBsplineBoundary
	Hierarchisation operation for B-spline basis functions on Boundary grids with natural boundary conditions. More...
class	OperationMultipleHierarchisationWavelet
	Hierarchisation operation for wavelet basis functions on Noboundary grids. More...
class	OperationMultipleHierarchisationWaveletBoundary
	Hierarchisation operation for wavelet basis functions on Boundary grids. More...
class	OperationMultipleHierarchisationWeaklyFundamentalNakSplineBoundary
	Hierarchisation operation for weakly fundamental spline basis functions on Boundary grids with not-a-knot boundary conditions. More...
class	OperationMultipleHierarchisationWeaklyFundamentalSplineBoundary
	Hierarchisation operation for weakly fundamental spline basis functions on Boundary grids. More...
class	QuasiGaussianFuzzyNumber
	Quasi-Gaussian fuzzy number. More...
class	ResponseSurface
	General response surface. More...
class	ResponseSurfaceVector
	General response surface. More...
class	SplineResponseSurface
	stores a sparse grid not a knot B-spline interpolant in the framework of a respsonse surface More...
class	SplineResponseSurfaceVector
	stores a sparse grid not a knot B-spline interpolant in the framework of a respsonse surface for a vector valued objective function (in particular time dependent objective functions, where the return values are the time series) More...
class	TriangularFuzzyInterval
	Triangular fuzzy interval; its membership function linearly increases from 0 to 1, stays 1, and linearly decreases back to 0. More...