Index

A

active_dims() (tensap.tensor_algebra.tensors.tree_based_tensor.TreeBasedTensor property) active_nodes() (tensap.tensor_algebra.tensors.tree_based_tensor.TreeBasedTensor property) adapt_tree() (tensap.approximation.tensor_approximation.tensor_learning.tensor_learning.TensorLearning method) (tensap.approximation.tensor_approximation.tensor_learning.tree_based_tensor_learning.TreeBasedTensorLearning method) adaptation_display() (tensap.approximation.tensor_approximation.tensor_learning.canonical_tensor_learning.CanonicalTensorLearning method) (tensap.approximation.tensor_approximation.tensor_learning.tensor_learning.TensorLearning method) (tensap.approximation.tensor_approximation.tensor_learning.tree_based_tensor_learning.TreeBasedTensorLearning method) adaptation_path() (tensap.approximation.bases.functional_bases.FunctionalBases method) (tensap.approximation.bases.functional_basis.FunctionalBasis method) (tensap.approximation.bases.sparse_tensor_product_functional_basis.SparseTensorProductFunctionalBasis method)

add_indices() (tensap.tools.multi_indices.MultiIndices method) alpha_principal_components() (tensap.approximation.tensor_approximation.principal_component_analysis.tensor_principal_component_analysis.TensorPrincipalComponentAnalysis method) (tensap.tensor_algebra.tensors.full_tensor.FullTensor method) array() (tensap.tools.grids.FullTensorGrid method) (tensap.tools.grids.SparseTensorGrid method) (tensap.tools.grids.TensorGrid method) ascendants() (tensap.tensor_algebra.tensors.dimension_tree.DimensionTree method)

B

balanced() (tensap.tensor_algebra.tensors.dimension_tree.DimensionTree static method)

baseb2integer() (in module tensap.tools.utils) bounded_by() (tensap.tools.multi_indices.MultiIndices static method)

C

canonical_correction() (tensap.approximation.tensor_approximation.tensor_learning.tree_based_tensor_learning.TreeBasedTensorLearning method) canonical_initialization() (tensap.approximation.tensor_approximation.tensor_learning.tree_based_tensor_learning.TreeBasedTensorLearning method) CanonicalPolynomials (class in tensap.functions.polynomials.polynomials) CanonicalTensor (class in tensap.tensor_algebra.tensors.canonical_tensor) CanonicalTensorLearning (class in tensap.approximation.tensor_approximation.tensor_learning.canonical_tensor_learning) cardinal() (tensap.approximation.bases.full_tensor_product_functional_basis.FullTensorProductFunctionalBasis method) (tensap.approximation.bases.functional_basis.FunctionalBasis method) (tensap.approximation.bases.polynomial_functional_basis.PolynomialFunctionalBasis method) (tensap.approximation.bases.sparse_tensor_product_functional_basis.SparseTensorProductFunctionalBasis method) (tensap.approximation.bases.sub_functional_basis.SubFunctionalBasis method) (tensap.approximation.bases.user_defined_functional_basis.UserDefinedFunctionalBasis method) (tensap.tools.multi_indices.MultiIndices method) cardinals() (tensap.approximation.bases.functional_bases.FunctionalBases method) cat() (tensap.tensor_algebra.tensors.diagonal_tensor.DiagonalTensor method) (tensap.tensor_algebra.tensors.full_tensor.FullTensor method) (tensap.tensor_algebra.tensors.sparse_tensor.SparseTensor method) (tensap.tensor_algebra.tensors.tree_based_tensor.TreeBasedTensor method) cdf() (tensap.functions.measures.copulas.IndependentCopula method) (tensap.functions.measures.discrete_random_variable.DiscreteRandomVariable method) (tensap.functions.measures.empirical_random_variable.EmpiricalRandomVariable method) (tensap.functions.measures.normal_random_variable.NormalRandomVariable method) (tensap.functions.measures.random_variable.RandomVariable method) (tensap.functions.measures.random_vector.RandomVector method) (tensap.functions.measures.uniform_random_variable.UniformRandomVariable method)

cdf_plot() (tensap.functions.measures.random_variable.RandomVariable method) chebyshev_points() (in module tensap.tools.chebyshev_points) child_number() (tensap.tensor_algebra.tensors.dimension_tree.DimensionTree method) children() (tensap.tensor_algebra.tensors.dimension_tree.DimensionTree method) christoffel() (tensap.approximation.bases.functional_basis.FunctionalBasis method) (tensap.approximation.bases.polynomial_functional_basis.PolynomialFunctionalBasis method) complexity() (tensap.approximation.tools.model_selection.ModelSelection static method) complexity_functional_basis_array() (tensap.approximation.tools.model_selection.ModelSelection static method) complexity_tree_based_tensor() (tensap.approximation.tools.model_selection.ModelSelection static method) CompositionalModelFunction (class in tensap.functions.compositional_model_function) conditional_expectation() (tensap.approximation.bases.full_tensor_product_functional_basis.FullTensorProductFunctionalBasis method) (tensap.approximation.bases.functional_basis.FunctionalBasis static method) (tensap.approximation.bases.functional_basis_array.FunctionalBasisArray method) (tensap.approximation.bases.sparse_tensor_product_functional_basis.SparseTensorProductFunctionalBasis method) (tensap.functions.functional_tensor.FunctionalTensor method) Copula (class in tensap.functions.measures.copulas) count_non_zero() (tensap.tensor_algebra.tensors.sparse_tensor.SparseTensor method) create() (tensap.tensor_algebra.tensors.canonical_tensor.CanonicalTensor static method) (tensap.tensor_algebra.tensors.diagonal_tensor.DiagonalTensor static method) (tensap.tensor_algebra.tensors.full_tensor.FullTensor static method) (tensap.tensor_algebra.tensors.tree_based_tensor.TreeBasedTensor static method) create_basis_adaptation_path() (tensap.approximation.tensor_approximation.tensor_learning.tree_based_tensor_learning.TreeBasedTensorLearning method) create_basis_adaptation_path_dmrg() (tensap.approximation.tensor_approximation.tensor_learning.tree_based_tensor_learning.TreeBasedTensorLearning method) create_basis_adaptation_path_dmrg_low_rank() (tensap.approximation.tensor_approximation.tensor_learning.tree_based_tensor_learning.TreeBasedTensorLearning method) CustomLossFunction (class in tensap.approximation.learning.loss_functions)

D

d_poly_coef() (tensap.functions.polynomials.polynomials.UnivariatePolynomials method) d_polyval() (tensap.functions.polynomials.orthonormal_polynomials.OrthonormalPolynomials method) (tensap.functions.polynomials.orthonormal_polynomials.ShiftedOrthonormalPolynomials method) (tensap.functions.polynomials.polynomials.CanonicalPolynomials method) (tensap.functions.polynomials.polynomials.UnivariatePolynomials method) DensityL2LossFunction (class in tensap.approximation.learning.loss_functions) derivative() (tensap.approximation.bases.functional_bases.FunctionalBases method) (tensap.approximation.bases.functional_basis_array.FunctionalBasisArray method) (tensap.approximation.bases.polynomial_functional_basis.PolynomialFunctionalBasis method) (tensap.approximation.bases.sparse_tensor_product_functional_basis.SparseTensorProductFunctionalBasis method) (tensap.approximation.bases.sub_functional_basis.SubFunctionalBasis method) (tensap.functions.functional_tensor.FunctionalTensor method) descendants() (tensap.tensor_algebra.tensors.dimension_tree.DimensionTree method) diag() (tensap.tensor_algebra.tensors.full_tensor.FullTensor static method) DiagonalTensor (class in tensap.tensor_algebra.tensors.diagonal_tensor) DimensionTree (class in tensap.tensor_algebra.tensors.dimension_tree) DiscreteMeasure (class in tensap.functions.measures.discrete_measure) DiscretePolynomials (class in tensap.functions.polynomials.orthonormal_polynomials) DiscreteRandomVariable (class in tensap.functions.measures.discrete_random_variable) discretize() (tensap.functions.measures.random_variable.RandomVariable method) dn_poly_coeff() (tensap.functions.polynomials.polynomials.UnivariatePolynomials method) dn_polyval() (tensap.functions.polynomials.orthonormal_polynomials.OrthonormalPolynomials method) (tensap.functions.polynomials.orthonormal_polynomials.ShiftedOrthonormalPolynomials method) (tensap.functions.polynomials.polynomials.UnivariatePolynomials method)

domain() (tensap.approximation.bases.full_tensor_product_functional_basis.FullTensorProductFunctionalBasis method) (tensap.approximation.bases.functional_bases.FunctionalBases method) (tensap.approximation.bases.functional_basis.FunctionalBasis method) (tensap.approximation.bases.polynomial_functional_basis.PolynomialFunctionalBasis method) (tensap.approximation.bases.sparse_tensor_product_functional_basis.SparseTensorProductFunctionalBasis method) (tensap.approximation.bases.sub_functional_basis.SubFunctionalBasis method) (tensap.approximation.bases.user_defined_functional_basis.UserDefinedFunctionalBasis method) (tensap.functions.polynomials.orthonormal_polynomials.OrthonormalPolynomials method) (tensap.functions.polynomials.orthonormal_polynomials.ShiftedOrthonormalPolynomials method) (tensap.functions.polynomials.polynomials.CanonicalPolynomials static method) (tensap.functions.tensorized_function.TensorizedFunction method) dot() (tensap.approximation.bases.functional_basis_array.FunctionalBasisArray method) (tensap.tensor_algebra.tensors.canonical_tensor.CanonicalTensor method) (tensap.tensor_algebra.tensors.diagonal_tensor.DiagonalTensor method) (tensap.tensor_algebra.tensors.full_tensor.FullTensor method) (tensap.tensor_algebra.tensors.sparse_tensor.SparseTensor method) (tensap.tensor_algebra.tensors.tree_based_tensor.TreeBasedTensor method) dot_product_expectation() (tensap.approximation.bases.functional_basis_array.FunctionalBasisArray method) (tensap.functions.functional_tensor.FunctionalTensor method) dot_with_rank_one_metric() (tensap.tensor_algebra.tensors.diagonal_tensor.DiagonalTensor method) (tensap.tensor_algebra.tensors.full_tensor.FullTensor method) (tensap.tensor_algebra.tensors.sparse_tensor.SparseTensor method) (tensap.tensor_algebra.tensors.tree_based_tensor.TreeBasedTensor method) duplicate() (tensap.approximation.bases.functional_bases.FunctionalBases static method) (tensap.functions.measures.product_measure.ProductMeasure static method)

E

EmpiricalPolynomials (class in tensap.functions.polynomials.orthonormal_polynomials) EmpiricalRandomVariable (class in tensap.functions.measures.empirical_random_variable) enriched_edges_to_ranks_random() (tensap.approximation.tensor_approximation.tensor_learning.tree_based_tensor_learning.TreeBasedTensorLearning static method) envelope() (tensap.tools.multi_indices.MultiIndices method) eval() (tensap.approximation.bases.full_tensor_product_functional_basis.FullTensorProductFunctionalBasis method) (tensap.approximation.bases.functional_bases.FunctionalBases method) (tensap.approximation.bases.functional_basis.FunctionalBasis method) (tensap.approximation.bases.functional_basis_array.FunctionalBasisArray method) (tensap.approximation.bases.polynomial_functional_basis.PolynomialFunctionalBasis method) (tensap.approximation.bases.sparse_tensor_product_functional_basis.SparseTensorProductFunctionalBasis method) (tensap.approximation.bases.sub_functional_basis.SubFunctionalBasis method) (tensap.approximation.bases.user_defined_functional_basis.UserDefinedFunctionalBasis method) (tensap.approximation.learning.loss_functions.CustomLossFunction method) (tensap.approximation.learning.loss_functions.DensityL2LossFunction method) (tensap.approximation.learning.loss_functions.LossFunction method) (tensap.approximation.learning.loss_functions.SquareLossFunction method) (tensap.functions.compositional_model_function.CompositionalModelFunction method) (tensap.functions.function.Function method) (tensap.functions.functional_tensor.FunctionalTensor method) (tensap.functions.tensorized_function.TensorizedFunction method) (tensap.functions.user_defined_function.UserDefinedFunction method) eval_at_indices() (tensap.tensor_algebra.tensors.diagonal_tensor.DiagonalTensor method) (tensap.tensor_algebra.tensors.full_tensor.FullTensor method) (tensap.tensor_algebra.tensors.sparse_tensor.SparseTensor method) (tensap.tensor_algebra.tensors.tree_based_tensor.TreeBasedTensor method) (tensap.tools.grids.FullTensorGrid method)

eval_derivative() (tensap.approximation.bases.functional_bases.FunctionalBases method) (tensap.approximation.bases.functional_basis_array.FunctionalBasisArray method) (tensap.approximation.bases.polynomial_functional_basis.PolynomialFunctionalBasis method) (tensap.approximation.bases.sparse_tensor_product_functional_basis.SparseTensorProductFunctionalBasis method) (tensap.approximation.bases.sub_functional_basis.SubFunctionalBasis method) (tensap.functions.functional_tensor.FunctionalTensor method) eval_diag() (tensap.tensor_algebra.tensors.canonical_tensor.CanonicalTensor method) (tensap.tensor_algebra.tensors.diagonal_tensor.DiagonalTensor method) (tensap.tensor_algebra.tensors.full_tensor.FullTensor method) (tensap.tensor_algebra.tensors.sparse_tensor.SparseTensor method) (tensap.tensor_algebra.tensors.tree_based_tensor.TreeBasedTensor method) eval_diag_above() (tensap.tensor_algebra.tensors.tree_based_tensor.TreeBasedTensor method) eval_diag_below() (tensap.tensor_algebra.tensors.tree_based_tensor.TreeBasedTensor method) eval_on_grid() (tensap.functions.functional_tensor.FunctionalTensor method) eval_on_tensor_grid() (tensap.functions.function.Function method) eval_with_bases_evals() (tensap.approximation.bases.functional_basis_array.FunctionalBasisArray method) (tensap.functions.functional_tensor.FunctionalTensor method) eval_with_functional_bases_evals() (tensap.approximation.bases.sparse_tensor_product_functional_basis.SparseTensorProductFunctionalBasis method) expectation() (tensap.approximation.bases.functional_basis.FunctionalBasis method) (tensap.approximation.bases.functional_basis_array.FunctionalBasisArray method) (tensap.functions.functional_tensor.FunctionalTensor method)

F

fast_intersect() (in module tensap.tools.utils) fast_setdiff() (in module tensap.tools.utils) final_display() (tensap.approximation.tensor_approximation.tensor_learning.canonical_tensor_learning.CanonicalTensorLearning method) (tensap.approximation.tensor_approximation.tensor_learning.tensor_learning.TensorLearning method) (tensap.approximation.tensor_approximation.tensor_learning.tree_based_tensor_learning.TreeBasedTensorLearning method) fplot() (tensap.functions.function.Function method) full() (tensap.tensor_algebra.tensors.canonical_tensor.CanonicalTensor method) (tensap.tensor_algebra.tensors.diagonal_tensor.DiagonalTensor method) (tensap.tensor_algebra.tensors.full_tensor.FullTensor method) (tensap.tensor_algebra.tensors.sparse_tensor.SparseTensor method) (tensap.tensor_algebra.tensors.tree_based_tensor.TreeBasedTensor method)

FullTensor (class in tensap.tensor_algebra.tensors.full_tensor) FullTensorGrid (class in tensap.tools.grids) FullTensorProductFunctionalBasis (class in tensap.approximation.bases.full_tensor_product_functional_basis) FullTensorProductIntegrationRule (class in tensap.approximation.integration.integration_rules) Function (class in tensap.functions.function) FunctionalBases (class in tensap.approximation.bases.functional_bases) FunctionalBasis (class in tensap.approximation.bases.functional_basis) FunctionalBasisArray (class in tensap.approximation.bases.functional_basis_array) FunctionalTensor (class in tensap.functions.functional_tensor) FunctionalTensorPrincipalComponentAnalysis (class in tensap.approximation.tensor_approximation.principal_component_analysis.functional_tensor_principal_component_analysis)

G

gauss() (tensap.approximation.integration.integration_rules.IntegrationRule static method) gauss_integration_rule() (tensap.functions.measures.random_variable.RandomVariable method) get_coefficients() (tensap.approximation.bases.functional_basis_array.FunctionalBasisArray method) get_indices() (tensap.tools.multi_indices.MultiIndices method) get_margin() (tensap.tools.multi_indices.MultiIndices method) get_maximal_indices() (tensap.tools.multi_indices.MultiIndices method) get_parameters() (tensap.functions.measures.discrete_random_variable.DiscreteRandomVariable method) (tensap.functions.measures.empirical_random_variable.EmpiricalRandomVariable method) (tensap.functions.measures.normal_random_variable.NormalRandomVariable method) (tensap.functions.measures.random_variable.RandomVariable method) (tensap.functions.measures.uniform_random_variable.UniformRandomVariable method) get_random_vector() (tensap.approximation.bases.functional_bases.FunctionalBases method) (tensap.approximation.bases.functional_basis_array.FunctionalBasisArray method) (tensap.approximation.bases.sparse_tensor_product_functional_basis.SparseTensorProductFunctionalBasis method) (tensap.functions.functional_tensor.FunctionalTensor method)

get_reduced_margin() (tensap.tools.multi_indices.MultiIndices method) get_standard_random_variable() (tensap.functions.measures.discrete_random_variable.DiscreteRandomVariable method) (tensap.functions.measures.empirical_random_variable.EmpiricalRandomVariable method) (tensap.functions.measures.normal_random_variable.NormalRandomVariable static method) (tensap.functions.measures.uniform_random_variable.UniformRandomVariable static method) get_standard_random_vector() (tensap.functions.measures.random_vector.RandomVector method) gradient() (tensap.approximation.bases.polynomial_functional_basis.PolynomialFunctionalBasis method) gram_matrix() (tensap.approximation.bases.full_tensor_product_functional_basis.FullTensorProductFunctionalBasis method) (tensap.approximation.bases.functional_bases.FunctionalBases method) (tensap.approximation.bases.polynomial_functional_basis.PolynomialFunctionalBasis method) (tensap.approximation.bases.sparse_tensor_product_functional_basis.SparseTensorProductFunctionalBasis method) gramians() (tensap.tensor_algebra.tensors.tree_based_tensor.TreeBasedTensor method)

H

hadamard_product() (tensap.tensor_algebra.tensors.full_tensor.FullTensor method) (tensap.tensor_algebra.tensors.tree_based_tensor.TreeBasedTensor method) HermitePolynomials (class in tensap.functions.polynomials.orthonormal_polynomials) hessian() (tensap.approximation.bases.polynomial_functional_basis.PolynomialFunctionalBasis method)

hopca() (tensap.approximation.tensor_approximation.principal_component_analysis.functional_tensor_principal_component_analysis.FunctionalTensorPrincipalComponentAnalysis method) (tensap.approximation.tensor_approximation.principal_component_analysis.tensor_principal_component_analysis.TensorPrincipalComponentAnalysis method) hosvd() (tensap.tensor_algebra.tools.truncator.Truncator method) hsvd() (tensap.tensor_algebra.tools.truncator.Truncator method)

I

icdf() (tensap.functions.measures.discrete_random_variable.DiscreteRandomVariable method) (tensap.functions.measures.empirical_random_variable.EmpiricalRandomVariable method) (tensap.functions.measures.normal_random_variable.NormalRandomVariable method) (tensap.functions.measures.random_variable.RandomVariable method) (tensap.functions.measures.uniform_random_variable.UniformRandomVariable method) icdf_plot() (tensap.functions.measures.random_variable.RandomVariable method) inactivate_nodes() (tensap.tensor_algebra.tensors.tree_based_tensor.TreeBasedTensor method) ind2sub() (tensap.tools.multi_indices.MultiIndices static method) IndependentCopula (class in tensap.functions.measures.copulas) initial_guess_new_rank() (tensap.approximation.tensor_approximation.tensor_learning.canonical_tensor_learning.CanonicalTensorLearning method) (tensap.approximation.tensor_approximation.tensor_learning.tensor_learning.TensorLearning method) (tensap.approximation.tensor_approximation.tensor_learning.tree_based_tensor_learning.TreeBasedTensorLearning method) initialize() (tensap.approximation.learning.linear_model_learning.LinearModelLearning method) (tensap.approximation.tensor_approximation.tensor_learning.canonical_tensor_learning.CanonicalTensorLearning method) (tensap.approximation.tensor_approximation.tensor_learning.tensor_learning.TensorLearning method) (tensap.approximation.tensor_approximation.tensor_learning.tree_based_tensor_learning.TreeBasedTensorLearning method) integer2baseb() (in module tensap.tools.utils) integrate() (tensap.approximation.integration.integration_rules.FullTensorProductIntegrationRule method) (tensap.approximation.integration.integration_rules.IntegrationRule method) integration_rule() (tensap.functions.measures.discrete_measure.DiscreteMeasure method) (tensap.functions.measures.discrete_random_variable.DiscreteRandomVariable method) IntegrationRule (class in tensap.approximation.integration.integration_rules)

interpolate() (tensap.approximation.bases.functional_basis.FunctionalBasis method) interpolation_points() (tensap.approximation.bases.full_tensor_product_functional_basis.FullTensorProductFunctionalBasis method) (tensap.approximation.bases.functional_bases.FunctionalBases method) (tensap.approximation.bases.functional_basis.FunctionalBasis method) intersect_indices() (tensap.tools.multi_indices.MultiIndices method) inverse_map() (tensap.functions.tensorizer.Tensorizer method) ipermute() (tensap.tensor_algebra.tensors.dimension_tree.DimensionTree method) is_active_dim() (tensap.tensor_algebra.tensors.tree_based_tensor.TreeBasedTensor method) is_admissible_rank() (tensap.tensor_algebra.tensors.tree_based_tensor.TreeBasedTensor method) is_downward_closed() (tensap.tools.multi_indices.MultiIndices method) is_in() (in module tensap.functions.sets.is_in) is_orthonormal() (tensap.functions.polynomials.orthonormal_polynomials.OrthonormalPolynomials static method) (tensap.functions.polynomials.orthonormal_polynomials.ShiftedOrthonormalPolynomials static method) (tensap.functions.polynomials.polynomials.CanonicalPolynomials static method) (tensap.functions.polynomials.polynomials.UnivariatePolynomials method) is_random() (tensap.approximation.bases.functional_basis_array.FunctionalBasisArray static method) (tensap.functions.functional_tensor.FunctionalTensor method) iso_probabilistic_grid() (tensap.functions.measures.random_variable.RandomVariable method) (tensap.functions.measures.random_vector.RandomVector method) itranspose() (tensap.tensor_algebra.tensors.diagonal_tensor.DiagonalTensor method) (tensap.tensor_algebra.tensors.full_tensor.FullTensor method) (tensap.tensor_algebra.tensors.sparse_tensor.SparseTensor method)

K

keep_bases() (tensap.approximation.bases.full_tensor_product_functional_basis.FullTensorProductFunctionalBasis method) (tensap.approximation.bases.functional_bases.FunctionalBases method) (tensap.approximation.bases.sparse_tensor_product_functional_basis.SparseTensorProductFunctionalBasis method) keep_dims() (tensap.tools.multi_indices.MultiIndices method) keep_indices() (tensap.tools.multi_indices.MultiIndices method) keep_mapping() (tensap.approximation.bases.full_tensor_product_functional_basis.FullTensorProductFunctionalBasis method) (tensap.approximation.bases.sparse_tensor_product_functional_basis.SparseTensorProductFunctionalBasis method)

kron() (tensap.approximation.bases.functional_bases.FunctionalBases method) (tensap.approximation.bases.functional_basis.FunctionalBasis static method) (tensap.approximation.bases.polynomial_functional_basis.PolynomialFunctionalBasis method) (tensap.tensor_algebra.tensors.diagonal_tensor.DiagonalTensor method) (tensap.tensor_algebra.tensors.full_tensor.FullTensor method) (tensap.tensor_algebra.tensors.sparse_tensor.SparseTensor method) (tensap.tensor_algebra.tensors.tree_based_tensor.TreeBasedTensor method)

L

lambda_path() (tensap.approximation.tools.model_selection.ModelSelection method) Learning (class in tensap.approximation.learning.learning) LegendrePolynomials (class in tensap.functions.polynomials.orthonormal_polynomials) length() (tensap.approximation.bases.full_tensor_product_functional_basis.FullTensorProductFunctionalBasis method) (tensap.approximation.bases.functional_bases.FunctionalBases method) (tensap.approximation.bases.sparse_tensor_product_functional_basis.SparseTensorProductFunctionalBasis method) lhs_random() (tensap.functions.measures.random_variable.RandomVariable method) (tensap.functions.measures.random_vector.RandomVector method) likelihood() (tensap.functions.measures.random_variable.RandomVariable method)

linear() (tensap.tensor_algebra.tensors.dimension_tree.DimensionTree static method) linear_model() (tensap.approximation.learning.learning.Learning static method) LinearModelLearning (class in tensap.approximation.learning.linear_model_learning) LinearModelLearningCustomLoss (class in tensap.approximation.learning.linear_model_learning_custom_loss) LinearModelLearningDensityL2 (class in tensap.approximation.learning.linear_model_learning_density_l2) LinearModelLearningSquareLoss (class in tensap.approximation.learning.linear_model_learning_square_loss) local_solver() (tensap.approximation.tensor_approximation.tensor_learning.canonical_tensor_learning.CanonicalTensorLearning method) (tensap.approximation.tensor_approximation.tensor_learning.tensor_learning.TensorLearning method) (tensap.approximation.tensor_approximation.tensor_learning.tree_based_tensor_learning.TreeBasedTensorLearning method) LossFunction (class in tensap.approximation.learning.loss_functions)

M

m_lambda() (tensap.approximation.tools.model_selection.ModelSelection method) magic_indices() (in module tensap.linear_algebra.magic_indices) magic_points() (tensap.approximation.bases.functional_bases.FunctionalBases method) (tensap.approximation.bases.functional_basis.FunctionalBasis method) make_ranks_admissible() (tensap.approximation.tensor_approximation.tensor_learning.tree_based_tensor_learning.TreeBasedTensorLearning static method) map() (tensap.functions.tensorizer.Tensorizer method) marginal() (tensap.functions.measures.product_measure.ProductMeasure method) (tensap.functions.measures.random_vector.RandomVector method) mass() (tensap.functions.measures.discrete_measure.DiscreteMeasure method) (tensap.functions.measures.measure.Measure method) (tensap.functions.measures.probability_measure.ProbabilityMeasure static method) (tensap.functions.measures.product_measure.ProductMeasure method) matdiv() (tensap.approximation.bases.functional_basis_array.FunctionalBasisArray method) matmul() (tensap.approximation.bases.functional_basis_array.FunctionalBasisArray method) matricize() (tensap.tensor_algebra.tensors.full_tensor.FullTensor method) max() (tensap.functions.measures.random_variable.RandomVariable method) mean() (tensap.approximation.bases.full_tensor_product_functional_basis.FullTensorProductFunctionalBasis method) (tensap.approximation.bases.functional_bases.FunctionalBases method) (tensap.approximation.bases.functional_basis.FunctionalBasis static method) (tensap.approximation.bases.functional_basis_array.FunctionalBasisArray method) (tensap.approximation.bases.polynomial_functional_basis.PolynomialFunctionalBasis method) (tensap.approximation.bases.sparse_tensor_product_functional_basis.SparseTensorProductFunctionalBasis method) (tensap.approximation.bases.sub_functional_basis.SubFunctionalBasis method) (tensap.functions.functional_tensor.FunctionalTensor method) (tensap.functions.measures.discrete_random_variable.DiscreteRandomVariable method) (tensap.functions.measures.random_variable.RandomVariable method) (tensap.functions.measures.random_vector.RandomVector method) (tensap.functions.polynomials.orthonormal_polynomials.ShiftedOrthonormalPolynomials method) (tensap.functions.polynomials.polynomials.UnivariatePolynomials method) Measure (class in tensap.functions.measures.measure) min() (tensap.functions.measures.random_variable.RandomVariable method) ModelSelection (class in tensap.approximation.tools.model_selection) module tensap.approximation tensap.approximation.bases tensap.approximation.bases.full_tensor_product_functional_basis tensap.approximation.bases.functional_bases tensap.approximation.bases.functional_basis tensap.approximation.bases.functional_basis_array tensap.approximation.bases.polynomial_functional_basis tensap.approximation.bases.sparse_tensor_product_functional_basis tensap.approximation.bases.sub_functional_basis tensap.approximation.bases.user_defined_functional_basis tensap.approximation.integration tensap.approximation.integration.integration_rules tensap.approximation.learning tensap.approximation.learning.learning tensap.approximation.learning.linear_model_learning tensap.approximation.learning.linear_model_learning_custom_loss tensap.approximation.learning.linear_model_learning_density_l2 tensap.approximation.learning.linear_model_learning_square_loss tensap.approximation.learning.loss_functions tensap.approximation.tensor_approximation tensap.approximation.tensor_approximation.principal_component_analysis tensap.approximation.tensor_approximation.principal_component_analysis.functional_tensor_principal_component_analysis tensap.approximation.tensor_approximation.principal_component_analysis.tensor_principal_component_analysis tensap.approximation.tensor_approximation.tensor_learning tensap.approximation.tensor_approximation.tensor_learning.canonical_tensor_learning tensap.approximation.tensor_approximation.tensor_learning.tensor_learning tensap.approximation.tensor_approximation.tensor_learning.tree_based_tensor_learning tensap.approximation.tools tensap.approximation.tools.model_selection tensap.functions tensap.functions.compositional_model_function tensap.functions.function tensap.functions.functional_tensor tensap.functions.measures tensap.functions.measures.copulas tensap.functions.measures.discrete_measure tensap.functions.measures.discrete_random_variable tensap.functions.measures.empirical_random_variable tensap.functions.measures.measure tensap.functions.measures.normal_random_variable tensap.functions.measures.probability_measure tensap.functions.measures.product_measure tensap.functions.measures.random_multi_indices tensap.functions.measures.random_variable tensap.functions.measures.random_vector tensap.functions.measures.uniform_random_variable tensap.functions.multivariate_functions_benchmark tensap.functions.polynomials tensap.functions.polynomials.orthonormal_polynomials tensap.functions.polynomials.polynomials tensap.functions.sets tensap.functions.sets.is_in tensap.functions.tensorized_function tensap.functions.tensorizer tensap.functions.user_defined_function tensap.linear_algebra tensap.linear_algebra.magic_indices tensap.tensor_algebra tensap.tensor_algebra.tensors tensap.tensor_algebra.tensors.canonical_tensor tensap.tensor_algebra.tensors.diagonal_tensor tensap.tensor_algebra.tensors.dimension_tree tensap.tensor_algebra.tensors.full_tensor tensap.tensor_algebra.tensors.sparse_tensor tensap.tensor_algebra.tensors.tree_based_tensor tensap.tensor_algebra.tools tensap.tensor_algebra.tools.truncator tensap.tools tensap.tools.chebyshev_points tensap.tools.grids tensap.tools.multi_indices tensap.tools.utils

moment() (tensap.functions.measures.random_variable.RandomVariable method) (tensap.functions.polynomials.orthonormal_polynomials.OrthonormalPolynomials method) (tensap.functions.polynomials.orthonormal_polynomials.ShiftedOrthonormalPolynomials method) (tensap.functions.polynomials.polynomials.UnivariatePolynomials method) multi_indices() (tensap.tools.grids.FullTensorGrid method) MultiIndices (class in tensap.tools.multi_indices) multivariate_functions_benchmark() (in module tensap.functions.multivariate_functions_benchmark)

N

ndim() (tensap.approximation.bases.full_tensor_product_functional_basis.FullTensorProductFunctionalBasis method) (tensap.approximation.bases.functional_bases.FunctionalBases method) (tensap.approximation.bases.functional_basis.FunctionalBasis method) (tensap.approximation.bases.polynomial_functional_basis.PolynomialFunctionalBasis method) (tensap.approximation.bases.sparse_tensor_product_functional_basis.SparseTensorProductFunctionalBasis method) (tensap.approximation.bases.sub_functional_basis.SubFunctionalBasis method) (tensap.approximation.bases.user_defined_functional_basis.UserDefinedFunctionalBasis method) (tensap.approximation.integration.integration_rules.FullTensorProductIntegrationRule method) (tensap.approximation.integration.integration_rules.IntegrationRule method) (tensap.functions.measures.discrete_measure.DiscreteMeasure method) (tensap.functions.measures.measure.Measure method) (tensap.functions.measures.product_measure.ProductMeasure method) (tensap.functions.measures.random_variable.RandomVariable static method) (tensap.functions.measures.random_vector.RandomVector method) (tensap.functions.polynomials.orthonormal_polynomials.ShiftedOrthonormalPolynomials static method) (tensap.functions.polynomials.polynomials.UnivariatePolynomials static method) (tensap.tensor_algebra.tensors.canonical_tensor.CanonicalTensor property) (tensap.tensor_algebra.tensors.diagonal_tensor.DiagonalTensor property) (tensap.tensor_algebra.tensors.full_tensor.FullTensor property) (tensap.tensor_algebra.tensors.sparse_tensor.SparseTensor property) (tensap.tensor_algebra.tensors.tree_based_tensor.TreeBasedTensor property) (tensap.tools.grids.TensorGrid method) (tensap.tools.multi_indices.MultiIndices method)

new_rank_selection() (tensap.approximation.tensor_approximation.tensor_learning.canonical_tensor_learning.CanonicalTensorLearning method) (tensap.approximation.tensor_approximation.tensor_learning.tensor_learning.TensorLearning method) (tensap.approximation.tensor_approximation.tensor_learning.tree_based_tensor_learning.TreeBasedTensorLearning method) node_with_dims() (tensap.tensor_algebra.tensors.dimension_tree.DimensionTree method) nodes_permutation_cost() (tensap.tensor_algebra.tensors.tree_based_tensor.TreeBasedTensor method) nodes_with_level() (tensap.tensor_algebra.tensors.dimension_tree.DimensionTree method) non_active_dims() (tensap.tensor_algebra.tensors.tree_based_tensor.TreeBasedTensor property) non_active_nodes() (tensap.tensor_algebra.tensors.tree_based_tensor.TreeBasedTensor property) norm() (tensap.approximation.bases.functional_basis_array.FunctionalBasisArray method) (tensap.functions.functional_tensor.FunctionalTensor method) (tensap.tensor_algebra.tensors.canonical_tensor.CanonicalTensor method) (tensap.tensor_algebra.tensors.diagonal_tensor.DiagonalTensor method) (tensap.tensor_algebra.tensors.full_tensor.FullTensor method) (tensap.tensor_algebra.tensors.sparse_tensor.SparseTensor method) (tensap.tensor_algebra.tensors.tree_based_tensor.TreeBasedTensor method) (tensap.tools.multi_indices.MultiIndices method) norm_expectation() (tensap.approximation.bases.functional_basis_array.FunctionalBasisArray method) NormalRandomVariable (class in tensap.functions.measures.normal_random_variable) number_of_parameters() (tensap.functions.measures.random_variable.RandomVariable method) numpy() (tensap.tensor_algebra.tensors.canonical_tensor.CanonicalTensor method) (tensap.tensor_algebra.tensors.diagonal_tensor.DiagonalTensor method) (tensap.tensor_algebra.tensors.full_tensor.FullTensor method) (tensap.tensor_algebra.tensors.sparse_tensor.SparseTensor method) (tensap.tensor_algebra.tensors.tree_based_tensor.TreeBasedTensor method)

O

one() (tensap.approximation.bases.functional_bases.FunctionalBases method) (tensap.approximation.bases.polynomial_functional_basis.PolynomialFunctionalBasis method) (tensap.functions.polynomials.orthonormal_polynomials.OrthonormalPolynomials static method) (tensap.functions.polynomials.orthonormal_polynomials.ShiftedOrthonormalPolynomials static method) (tensap.functions.polynomials.polynomials.CanonicalPolynomials static method) (tensap.functions.polynomials.polynomials.UnivariatePolynomials method) ones() (tensap.tensor_algebra.tensors.canonical_tensor.CanonicalTensor static method) (tensap.tensor_algebra.tensors.diagonal_tensor.DiagonalTensor static method) (tensap.tensor_algebra.tensors.full_tensor.FullTensor static method) (tensap.tensor_algebra.tensors.tree_based_tensor.TreeBasedTensor static method) optimal_sampling_measure() (tensap.approximation.bases.full_tensor_product_functional_basis.FullTensorProductFunctionalBasis method) (tensap.approximation.bases.functional_basis.FunctionalBasis method) (tensap.approximation.bases.polynomial_functional_basis.PolynomialFunctionalBasis method) optimize_dimension_tree() (tensap.tensor_algebra.tensors.tree_based_tensor.TreeBasedTensor method) optimize_leaves_permutations() (tensap.tensor_algebra.tensors.tree_based_tensor.TreeBasedTensor method) order() (tensap.tensor_algebra.tensors.full_tensor.FullTensor property)

orth() (tensap.tensor_algebra.tensors.canonical_tensor.CanonicalTensor method) (tensap.tensor_algebra.tensors.diagonal_tensor.DiagonalTensor method) (tensap.tensor_algebra.tensors.full_tensor.FullTensor method) (tensap.tensor_algebra.tensors.sparse_tensor.SparseTensor method) (tensap.tensor_algebra.tensors.tree_based_tensor.TreeBasedTensor method) orth_at_node() (tensap.tensor_algebra.tensors.tree_based_tensor.TreeBasedTensor method) orthonormal_polynomials() (tensap.functions.measures.empirical_random_variable.EmpiricalRandomVariable method) (tensap.functions.measures.normal_random_variable.NormalRandomVariable method) (tensap.functions.measures.random_variable.RandomVariable method) (tensap.functions.measures.random_vector.RandomVector method) (tensap.functions.measures.uniform_random_variable.UniformRandomVariable method) orthonormalize() (tensap.approximation.bases.full_tensor_product_functional_basis.FullTensorProductFunctionalBasis method) (tensap.approximation.bases.functional_bases.FunctionalBases method) (tensap.approximation.bases.functional_basis.FunctionalBasis method) (tensap.approximation.bases.sub_functional_basis.SubFunctionalBasis method) OrthonormalPolynomials (class in tensap.functions.polynomials.orthonormal_polynomials) outer_product_eval_diag() (tensap.tensor_algebra.tensors.full_tensor.FullTensor method)

P

parameter_gradient_eval() (tensap.functions.functional_tensor.FunctionalTensor method) parameter_gradient_eval_diag() (tensap.tensor_algebra.tensors.canonical_tensor.CanonicalTensor method) (tensap.tensor_algebra.tensors.tree_based_tensor.TreeBasedTensor method) parameter_gradient_eval_diag_dmrg() (tensap.tensor_algebra.tensors.tree_based_tensor.TreeBasedTensor method) parameter_gradient_eval_dmrg() (tensap.functions.functional_tensor.FunctionalTensor method) parent() (tensap.tensor_algebra.tensors.dimension_tree.DimensionTree method) partial_evaluation() (tensap.functions.function.Function method) pdf() (tensap.functions.measures.copulas.IndependentCopula method) (tensap.functions.measures.empirical_random_variable.EmpiricalRandomVariable method) (tensap.functions.measures.normal_random_variable.NormalRandomVariable method) (tensap.functions.measures.product_measure.ProductMeasure method) (tensap.functions.measures.random_variable.RandomVariable method) (tensap.functions.measures.random_vector.RandomVector method) (tensap.functions.measures.uniform_random_variable.UniformRandomVariable method) pdf_plot() (tensap.functions.measures.random_variable.RandomVariable method) permute() (tensap.tensor_algebra.tensors.dimension_tree.DimensionTree method) permute_leaves() (tensap.tensor_algebra.tensors.tree_based_tensor.TreeBasedTensor method) permute_nodes() (tensap.tensor_algebra.tensors.tree_based_tensor.TreeBasedTensor method) plot() (tensap.approximation.bases.functional_basis.FunctionalBasis method) (tensap.functions.measures.discrete_measure.DiscreteMeasure method) (tensap.functions.measures.discrete_random_variable.DiscreteRandomVariable method) (tensap.functions.measures.random_variable.RandomVariable method) (tensap.tensor_algebra.tensors.dimension_tree.DimensionTree method) (tensap.tensor_algebra.tensors.tree_based_tensor.TreeBasedTensor method) (tensap.tools.grids.FullTensorGrid method) (tensap.tools.multi_indices.MultiIndices method)

plot_dims() (tensap.tensor_algebra.tensors.dimension_tree.DimensionTree method) plot_grid() (tensap.tools.grids.TensorGrid method) plot_multi_indices() (tensap.approximation.bases.sparse_tensor_product_functional_basis.SparseTensorProductFunctionalBasis method) plot_with_labels_at_nodes() (tensap.tensor_algebra.tensors.dimension_tree.DimensionTree method) poly_coeff() (tensap.functions.polynomials.orthonormal_polynomials.OrthonormalPolynomials method) (tensap.functions.polynomials.orthonormal_polynomials.ShiftedOrthonormalPolynomials static method) (tensap.functions.polynomials.polynomials.CanonicalPolynomials method) (tensap.functions.polynomials.polynomials.UnivariatePolynomials method) PolynomialFunctionalBasis (class in tensap.approximation.bases.polynomial_functional_basis) polyval() (tensap.functions.polynomials.orthonormal_polynomials.OrthonormalPolynomials method) (tensap.functions.polynomials.orthonormal_polynomials.ShiftedOrthonormalPolynomials method) (tensap.functions.polynomials.polynomials.UnivariatePolynomials method) pre_processing() (tensap.approximation.tensor_approximation.tensor_learning.canonical_tensor_learning.CanonicalTensorLearning method) (tensap.approximation.tensor_approximation.tensor_learning.tensor_learning.TensorLearning method) (tensap.approximation.tensor_approximation.tensor_learning.tree_based_tensor_learning.TreeBasedTensorLearning method) prepare_alternating_minimization_system() (tensap.approximation.tensor_approximation.tensor_learning.canonical_tensor_learning.CanonicalTensorLearning method) (tensap.approximation.tensor_approximation.tensor_learning.tensor_learning.TensorLearning method) (tensap.approximation.tensor_approximation.tensor_learning.tree_based_tensor_learning.TreeBasedTensorLearning method) principal_components() (tensap.tensor_algebra.tensors.full_tensor.FullTensor method) ProbabilityMeasure (class in tensap.functions.measures.probability_measure) product_set() (tensap.tools.multi_indices.MultiIndices static method) ProductMeasure (class in tensap.functions.measures.product_measure) projection() (tensap.approximation.bases.full_tensor_product_functional_basis.FullTensorProductFunctionalBasis method) (tensap.approximation.bases.functional_basis.FunctionalBasis method) (tensap.approximation.bases.functional_basis_array.FunctionalBasisArray method)

R

rand() (in module tensap.functions.measures.uniform_random_variable) (tensap.tensor_algebra.tensors.canonical_tensor.CanonicalTensor static method) (tensap.tensor_algebra.tensors.diagonal_tensor.DiagonalTensor static method) (tensap.tensor_algebra.tensors.full_tensor.FullTensor static method) (tensap.tensor_algebra.tensors.tree_based_tensor.TreeBasedTensor static method) randn() (tensap.tensor_algebra.tensors.canonical_tensor.CanonicalTensor static method) (tensap.tensor_algebra.tensors.diagonal_tensor.DiagonalTensor static method) (tensap.tensor_algebra.tensors.full_tensor.FullTensor static method) (tensap.tensor_algebra.tensors.tree_based_tensor.TreeBasedTensor static method) random() (tensap.approximation.bases.functional_bases.FunctionalBases method) (tensap.approximation.bases.functional_basis.FunctionalBasis method) (tensap.approximation.bases.functional_basis_array.FunctionalBasisArray method) (tensap.functions.function.Function method) (tensap.functions.functional_tensor.FunctionalTensor method) (tensap.functions.measures.discrete_measure.DiscreteMeasure method) (tensap.functions.measures.discrete_random_variable.DiscreteRandomVariable method) (tensap.functions.measures.empirical_random_variable.EmpiricalRandomVariable method) (tensap.functions.measures.normal_random_variable.NormalRandomVariable method) (tensap.functions.measures.product_measure.ProductMeasure method) (tensap.functions.measures.random_variable.RandomVariable method) (tensap.functions.measures.random_vector.RandomVector method) (tensap.functions.measures.uniform_random_variable.UniformRandomVariable method) (tensap.functions.polynomials.orthonormal_polynomials.OrthonormalPolynomials method) (tensap.functions.polynomials.orthonormal_polynomials.ShiftedOrthonormalPolynomials method) (tensap.tensor_algebra.tensors.dimension_tree.DimensionTree static method) (tensap.tools.grids.FullTensorGrid static method) random_dims() (tensap.approximation.bases.functional_bases.FunctionalBases method) (tensap.functions.functional_tensor.FunctionalTensor method) random_multi_indices() (in module tensap.functions.measures.random_multi_indices) random_rejection() (tensap.functions.measures.probability_measure.ProbabilityMeasure method) random_sequential() (tensap.functions.measures.product_measure.ProductMeasure method) random_variable() (tensap.approximation.bases.polynomial_functional_basis.PolynomialFunctionalBasis method) random_variable_statistics() (tensap.functions.measures.discrete_random_variable.DiscreteRandomVariable method) (tensap.functions.measures.empirical_random_variable.EmpiricalRandomVariable method) (tensap.functions.measures.normal_random_variable.NormalRandomVariable method) (tensap.functions.measures.random_variable.RandomVariable method) (tensap.functions.measures.uniform_random_variable.UniformRandomVariable method)

random_vector() (tensap.functions.measures.product_measure.ProductMeasure method) randomize_exploration_strategy() (tensap.approximation.tensor_approximation.tensor_learning.canonical_tensor_learning.CanonicalTensorLearning method) (tensap.approximation.tensor_approximation.tensor_learning.tensor_learning.TensorLearning method) (tensap.approximation.tensor_approximation.tensor_learning.tree_based_tensor_learning.TreeBasedTensorLearning method) RandomVariable (class in tensap.functions.measures.random_variable) RandomVector (class in tensap.functions.measures.random_vector) rank() (tensap.tensor_algebra.tensors.tree_based_tensor.TreeBasedTensor property) rank_one_correction() (tensap.approximation.tensor_approximation.tensor_learning.tree_based_tensor_learning.TreeBasedTensorLearning method) reduce_mean() (tensap.tensor_algebra.tensors.full_tensor.FullTensor method) reduce_sum() (tensap.tensor_algebra.tensors.full_tensor.FullTensor method) relative_test_error() (tensap.approximation.learning.loss_functions.CustomLossFunction method) (tensap.approximation.learning.loss_functions.DensityL2LossFunction method) (tensap.approximation.learning.loss_functions.LossFunction method) (tensap.approximation.learning.loss_functions.SquareLossFunction method) remove_bases() (tensap.approximation.bases.full_tensor_product_functional_basis.FullTensorProductFunctionalBasis method) (tensap.approximation.bases.functional_bases.FunctionalBases method) (tensap.approximation.bases.sparse_tensor_product_functional_basis.SparseTensorProductFunctionalBasis method) remove_dims() (tensap.tools.multi_indices.MultiIndices method) remove_indices() (tensap.tools.multi_indices.MultiIndices method) remove_mapping() (tensap.approximation.bases.full_tensor_product_functional_basis.FullTensorProductFunctionalBasis method) (tensap.approximation.bases.sparse_tensor_product_functional_basis.SparseTensorProductFunctionalBasis method) remove_unique_children() (tensap.tensor_algebra.tensors.tree_based_tensor.TreeBasedTensor method) representation_rank() (tensap.tensor_algebra.tensors.canonical_tensor.CanonicalTensor method) (tensap.tensor_algebra.tensors.tree_based_tensor.TreeBasedTensor property) reshape() (tensap.tensor_algebra.tensors.diagonal_tensor.DiagonalTensor method) (tensap.tensor_algebra.tensors.full_tensor.FullTensor method) (tensap.tensor_algebra.tensors.sparse_tensor.SparseTensor method) risk_estimation() (tensap.approximation.learning.learning.Learning method) (tensap.approximation.learning.loss_functions.CustomLossFunction method) (tensap.approximation.learning.loss_functions.LossFunction method) roots() (tensap.functions.polynomials.orthonormal_polynomials.OrthonormalPolynomials method) (tensap.functions.polynomials.orthonormal_polynomials.ShiftedOrthonormalPolynomials method)

S

set_parameter() (tensap.approximation.tensor_approximation.tensor_learning.canonical_tensor_learning.CanonicalTensorLearning method) (tensap.approximation.tensor_approximation.tensor_learning.tensor_learning.TensorLearning method) (tensap.approximation.tensor_approximation.tensor_learning.tree_based_tensor_learning.TreeBasedTensorLearning method) shape() (tensap.tensor_algebra.tensors.full_tensor.FullTensor property) (tensap.tools.grids.TensorGrid method) shift() (tensap.functions.measures.empirical_random_variable.EmpiricalRandomVariable method) (tensap.functions.measures.normal_random_variable.NormalRandomVariable method) (tensap.functions.measures.uniform_random_variable.UniformRandomVariable method) ShiftedOrthonormalPolynomials (class in tensap.functions.polynomials.orthonormal_polynomials) singular_values() (tensap.tensor_algebra.tensors.full_tensor.FullTensor method) (tensap.tensor_algebra.tensors.tree_based_tensor.TreeBasedTensor method) size() (tensap.functions.measures.random_vector.RandomVector property) (tensap.tensor_algebra.tensors.full_tensor.FullTensor property) (tensap.tensor_algebra.tensors.sparse_tensor.SparseTensor property) (tensap.tools.grids.FullTensorGrid property) (tensap.tools.grids.SparseTensorGrid property) (tensap.tools.grids.TensorGrid property) slope_heuristic() (tensap.approximation.tools.model_selection.ModelSelection method) solve() (tensap.approximation.learning.linear_model_learning_custom_loss.LinearModelLearningCustomLoss method) (tensap.approximation.learning.linear_model_learning_density_l2.LinearModelLearningDensityL2 method) (tensap.approximation.learning.linear_model_learning_square_loss.LinearModelLearningSquareLoss method) (tensap.approximation.tensor_approximation.tensor_learning.tensor_learning.TensorLearning method) sort() (tensap.tools.multi_indices.MultiIndices method) sort_by_norm() (tensap.tools.multi_indices.MultiIndices method) sort_by_weighted_norm() (tensap.tools.multi_indices.MultiIndices method) sparse() (tensap.tensor_algebra.tensors.diagonal_tensor.DiagonalTensor method) (tensap.tensor_algebra.tensors.full_tensor.FullTensor method) sparse_leaves_storage() (tensap.tensor_algebra.tensors.tree_based_tensor.TreeBasedTensor method) sparse_storage() (tensap.approximation.bases.functional_basis_array.FunctionalBasisArray method) (tensap.tensor_algebra.tensors.canonical_tensor.CanonicalTensor method) (tensap.tensor_algebra.tensors.diagonal_tensor.DiagonalTensor method) (tensap.tensor_algebra.tensors.full_tensor.FullTensor method) (tensap.tensor_algebra.tensors.sparse_tensor.SparseTensor method) (tensap.tensor_algebra.tensors.tree_based_tensor.TreeBasedTensor method) SparseTensor (class in tensap.tensor_algebra.tensors.sparse_tensor) SparseTensorGrid (class in tensap.tools.grids) SparseTensorProductFunctionalBasis (class in tensap.approximation.bases.sparse_tensor_product_functional_basis) SquareLossFunction (class in tensap.approximation.learning.loss_functions)

squeeze() (tensap.tensor_algebra.tensors.full_tensor.FullTensor method) (tensap.tensor_algebra.tensors.sparse_tensor.SparseTensor method) (tensap.tensor_algebra.tensors.tree_based_tensor.TreeBasedTensor method) stagnation_criterion() (tensap.approximation.tensor_approximation.tensor_learning.canonical_tensor_learning.CanonicalTensorLearning method) (tensap.approximation.tensor_approximation.tensor_learning.tensor_learning.TensorLearning method) (tensap.approximation.tensor_approximation.tensor_learning.tree_based_tensor_learning.TreeBasedTensorLearning method) std() (tensap.approximation.bases.functional_basis_array.FunctionalBasisArray method) (tensap.functions.functional_tensor.FunctionalTensor method) (tensap.functions.measures.random_variable.RandomVariable method) (tensap.functions.measures.random_vector.RandomVector method) storage() (tensap.approximation.bases.functional_bases.FunctionalBases method) (tensap.approximation.bases.functional_basis.FunctionalBasis static method) (tensap.approximation.bases.functional_basis_array.FunctionalBasisArray method) (tensap.approximation.bases.sub_functional_basis.SubFunctionalBasis method) (tensap.functions.functional_tensor.FunctionalTensor method) (tensap.tensor_algebra.tensors.canonical_tensor.CanonicalTensor method) (tensap.tensor_algebra.tensors.diagonal_tensor.DiagonalTensor method) (tensap.tensor_algebra.tensors.full_tensor.FullTensor method) (tensap.tensor_algebra.tensors.sparse_tensor.SparseTensor method) (tensap.tensor_algebra.tensors.tree_based_tensor.TreeBasedTensor method) store_eval() (tensap.functions.function.Function method) sub2ind() (tensap.tools.multi_indices.MultiIndices method) sub_dimension_tree() (tensap.tensor_algebra.tensors.dimension_tree.DimensionTree method) sub_functional_basis() (tensap.approximation.bases.functional_basis_array.FunctionalBasisArray method) sub_tensor() (tensap.tensor_algebra.tensors.diagonal_tensor.DiagonalTensor method) (tensap.tensor_algebra.tensors.full_tensor.FullTensor method) (tensap.tensor_algebra.tensors.sparse_tensor.SparseTensor method) (tensap.tensor_algebra.tensors.tree_based_tensor.TreeBasedTensor method) SubFunctionalBasis (class in tensap.approximation.bases.sub_functional_basis) support() (tensap.functions.measures.discrete_measure.DiscreteMeasure method) (tensap.functions.measures.discrete_random_variable.DiscreteRandomVariable method) (tensap.functions.measures.empirical_random_variable.EmpiricalRandomVariable method) (tensap.functions.measures.measure.Measure method) (tensap.functions.measures.normal_random_variable.NormalRandomVariable static method) (tensap.functions.measures.product_measure.ProductMeasure method) (tensap.functions.measures.random_vector.RandomVector method) (tensap.functions.measures.uniform_random_variable.UniformRandomVariable method) surf() (tensap.functions.function.Function method) svd() (tensap.tensor_algebra.tools.truncator.Truncator method)

T

tensap.approximation module tensap.approximation.bases module tensap.approximation.bases.full_tensor_product_functional_basis module tensap.approximation.bases.functional_bases module tensap.approximation.bases.functional_basis module tensap.approximation.bases.functional_basis_array module tensap.approximation.bases.polynomial_functional_basis module tensap.approximation.bases.sparse_tensor_product_functional_basis module tensap.approximation.bases.sub_functional_basis module tensap.approximation.bases.user_defined_functional_basis module tensap.approximation.integration module tensap.approximation.integration.integration_rules module tensap.approximation.learning module tensap.approximation.learning.learning module tensap.approximation.learning.linear_model_learning module tensap.approximation.learning.linear_model_learning_custom_loss module tensap.approximation.learning.linear_model_learning_density_l2 module tensap.approximation.learning.linear_model_learning_square_loss module tensap.approximation.learning.loss_functions module tensap.approximation.tensor_approximation module tensap.approximation.tensor_approximation.principal_component_analysis module tensap.approximation.tensor_approximation.principal_component_analysis.functional_tensor_principal_component_analysis module tensap.approximation.tensor_approximation.principal_component_analysis.tensor_principal_component_analysis module tensap.approximation.tensor_approximation.tensor_learning module tensap.approximation.tensor_approximation.tensor_learning.canonical_tensor_learning module tensap.approximation.tensor_approximation.tensor_learning.tensor_learning module tensap.approximation.tensor_approximation.tensor_learning.tree_based_tensor_learning module tensap.approximation.tools module tensap.approximation.tools.model_selection module tensap.functions module tensap.functions.compositional_model_function module tensap.functions.function module tensap.functions.functional_tensor module tensap.functions.measures module tensap.functions.measures.copulas module tensap.functions.measures.discrete_measure module tensap.functions.measures.discrete_random_variable module tensap.functions.measures.empirical_random_variable module tensap.functions.measures.measure module tensap.functions.measures.normal_random_variable module tensap.functions.measures.probability_measure module tensap.functions.measures.product_measure module tensap.functions.measures.random_multi_indices module tensap.functions.measures.random_variable module tensap.functions.measures.random_vector module tensap.functions.measures.uniform_random_variable module tensap.functions.multivariate_functions_benchmark module tensap.functions.polynomials module tensap.functions.polynomials.orthonormal_polynomials module tensap.functions.polynomials.polynomials module tensap.functions.sets module tensap.functions.sets.is_in module tensap.functions.tensorized_function module tensap.functions.tensorizer module tensap.functions.user_defined_function module

tensap.linear_algebra module tensap.linear_algebra.magic_indices module tensap.tensor_algebra module tensap.tensor_algebra.tensors module tensap.tensor_algebra.tensors.canonical_tensor module tensap.tensor_algebra.tensors.diagonal_tensor module tensap.tensor_algebra.tensors.dimension_tree module tensap.tensor_algebra.tensors.full_tensor module tensap.tensor_algebra.tensors.sparse_tensor module tensap.tensor_algebra.tensors.tree_based_tensor module tensap.tensor_algebra.tools module tensap.tensor_algebra.tools.truncator module tensap.tools module tensap.tools.chebyshev_points module tensap.tools.grids module tensap.tools.multi_indices module tensap.tools.utils module tensor_diagonal_matrix_product() (tensap.tensor_algebra.tensors.diagonal_tensor.DiagonalTensor method) (tensap.tensor_algebra.tensors.full_tensor.FullTensor method) (tensap.tensor_algebra.tensors.sparse_tensor.SparseTensor method) (tensap.tensor_algebra.tensors.tree_based_tensor.TreeBasedTensor method) tensor_matrix_product() (tensap.tensor_algebra.tensors.canonical_tensor.CanonicalTensor method) (tensap.tensor_algebra.tensors.diagonal_tensor.DiagonalTensor method) (tensap.tensor_algebra.tensors.full_tensor.FullTensor method) (tensap.tensor_algebra.tensors.sparse_tensor.SparseTensor method) (tensap.tensor_algebra.tensors.tree_based_tensor.TreeBasedTensor method) tensor_matrix_product_eval_diag() (tensap.tensor_algebra.tensors.canonical_tensor.CanonicalTensor method) (tensap.tensor_algebra.tensors.diagonal_tensor.DiagonalTensor method) (tensap.tensor_algebra.tensors.full_tensor.FullTensor method) (tensap.tensor_algebra.tensors.sparse_tensor.SparseTensor method) (tensap.tensor_algebra.tensors.tree_based_tensor.TreeBasedTensor method) tensor_product_interpolation() (tensap.approximation.bases.full_tensor_product_functional_basis.FullTensorProductFunctionalBasis method) (tensap.approximation.bases.functional_bases.FunctionalBases method) (tensap.approximation.bases.sparse_tensor_product_functional_basis.SparseTensorProductFunctionalBasis method) tensor_train() (tensap.approximation.tensor_approximation.tensor_learning.tree_based_tensor_learning.TreeBasedTensorLearning static method) (tensap.tensor_algebra.tensors.tree_based_tensor.TreeBasedTensor static method) tensor_train_tucker() (tensap.approximation.tensor_approximation.tensor_learning.tree_based_tensor_learning.TreeBasedTensorLearning static method) tensor_vector_product() (tensap.tensor_algebra.tensors.diagonal_tensor.DiagonalTensor method) (tensap.tensor_algebra.tensors.full_tensor.FullTensor method) (tensap.tensor_algebra.tensors.sparse_tensor.SparseTensor method) (tensap.tensor_algebra.tensors.tree_based_tensor.TreeBasedTensor method) tensordot() (tensap.tensor_algebra.tensors.diagonal_tensor.DiagonalTensor method) (tensap.tensor_algebra.tensors.full_tensor.FullTensor method) tensordot_eval_diag() (tensap.tensor_algebra.tensors.full_tensor.FullTensor method) tensordot_matrix_product_except_dim() (tensap.tensor_algebra.tensors.diagonal_tensor.DiagonalTensor method) (tensap.tensor_algebra.tensors.full_tensor.FullTensor method) (tensap.tensor_algebra.tensors.sparse_tensor.SparseTensor method) (tensap.tensor_algebra.tensors.tree_based_tensor.TreeBasedTensor method) TensorGrid (class in tensap.tools.grids) tensorize() (tensap.approximation.integration.integration_rules.IntegrationRule method) (tensap.functions.tensorizer.Tensorizer method) tensorized_function_functional_bases() (tensap.functions.tensorizer.Tensorizer method) TensorizedFunction (class in tensap.functions.tensorized_function) Tensorizer (class in tensap.functions.tensorizer) TensorLearning (class in tensap.approximation.tensor_approximation.tensor_learning.tensor_learning) TensorPrincipalComponentAnalysis (class in tensap.approximation.tensor_approximation.principal_component_analysis.tensor_principal_component_analysis) test_error() (tensap.approximation.learning.loss_functions.CustomLossFunction method) (tensap.approximation.learning.loss_functions.DensityL2LossFunction method) (tensap.approximation.learning.loss_functions.LossFunction method) (tensap.approximation.learning.loss_functions.SquareLossFunction method) (tensap.functions.function.Function method) to_list() (tensap.tools.multi_indices.MultiIndices method) transfer() (tensap.functions.measures.empirical_random_variable.EmpiricalRandomVariable method) (tensap.functions.measures.random_variable.RandomVariable method) (tensap.functions.measures.random_vector.RandomVector method) transpose() (tensap.approximation.bases.full_tensor_product_functional_basis.FullTensorProductFunctionalBasis method) (tensap.approximation.bases.functional_bases.FunctionalBases method) (tensap.approximation.bases.sparse_tensor_product_functional_basis.SparseTensorProductFunctionalBasis method) (tensap.functions.measures.random_vector.RandomVector method) (tensap.tensor_algebra.tensors.diagonal_tensor.DiagonalTensor method) (tensap.tensor_algebra.tensors.full_tensor.FullTensor method) (tensap.tensor_algebra.tensors.sparse_tensor.SparseTensor method) tree_based_approximation() (tensap.approximation.tensor_approximation.principal_component_analysis.functional_tensor_principal_component_analysis.FunctionalTensorPrincipalComponentAnalysis method) (tensap.approximation.tensor_approximation.principal_component_analysis.tensor_principal_component_analysis.TensorPrincipalComponentAnalysis method) tree_based_tensor() (tensap.tensor_algebra.tensors.canonical_tensor.CanonicalTensor method) (tensap.tensor_algebra.tensors.diagonal_tensor.DiagonalTensor method) (tensap.tensor_algebra.tensors.full_tensor.FullTensor method) tree_layout() (tensap.tensor_algebra.tensors.dimension_tree.DimensionTree method) TreeBasedTensor (class in tensap.tensor_algebra.tensors.tree_based_tensor) TreeBasedTensorLearning (class in tensap.approximation.tensor_approximation.tensor_learning.tree_based_tensor_learning) trivial() (tensap.tensor_algebra.tensors.dimension_tree.DimensionTree static method) trunc_svd() (tensap.tensor_algebra.tools.truncator.Truncator method) truncate() (tensap.tensor_algebra.tools.truncator.Truncator method) truncated_domain() (tensap.functions.polynomials.orthonormal_polynomials.OrthonormalPolynomials method) (tensap.functions.polynomials.orthonormal_polynomials.ShiftedOrthonormalPolynomials method) truncated_support() (tensap.functions.measures.product_measure.ProductMeasure method) (tensap.functions.measures.random_variable.RandomVariable method) (tensap.functions.measures.random_vector.RandomVector method) Truncator (class in tensap.tensor_algebra.tools.truncator) tt_approximation() (tensap.approximation.tensor_approximation.principal_component_analysis.functional_tensor_principal_component_analysis.FunctionalTensorPrincipalComponentAnalysis method) (tensap.approximation.tensor_approximation.principal_component_analysis.tensor_principal_component_analysis.TensorPrincipalComponentAnalysis method) ttsvd() (tensap.tensor_algebra.tools.truncator.Truncator method) tucker_approximation() (tensap.approximation.tensor_approximation.principal_component_analysis.functional_tensor_principal_component_analysis.FunctionalTensorPrincipalComponentAnalysis method) (tensap.approximation.tensor_approximation.principal_component_analysis.tensor_principal_component_analysis.TensorPrincipalComponentAnalysis method)

U

u2z() (tensap.functions.tensorizer.Tensorizer static method) UniformRandomVariable (class in tensap.functions.measures.uniform_random_variable) unique_tol() (tensap.approximation.tensor_approximation.tensor_learning.tree_based_tensor_learning.TreeBasedTensorLearning static method) UnivariatePolynomials (class in tensap.functions.polynomials.polynomials)

update_attributes() (tensap.tensor_algebra.tensors.diagonal_tensor.DiagonalTensor method) (tensap.tensor_algebra.tensors.tree_based_tensor.TreeBasedTensor method) update_dims_from_leaves() (tensap.tensor_algebra.tensors.dimension_tree.DimensionTree method) UserDefinedFunction (class in tensap.functions.user_defined_function) UserDefinedFunctionalBasis (class in tensap.approximation.bases.user_defined_functional_basis)

V

var() (tensap.functions.measures.discrete_random_variable.DiscreteRandomVariable method) variance() (tensap.approximation.bases.functional_basis_array.FunctionalBasisArray method) (tensap.functions.functional_tensor.FunctionalTensor method) (tensap.functions.measures.random_variable.RandomVariable method) (tensap.functions.measures.random_vector.RandomVector method)

variance_conditional_expectation() (tensap.approximation.bases.functional_basis_array.FunctionalBasisArray method) (tensap.functions.functional_tensor.FunctionalTensor method)

W

weighted_norm() (tensap.tools.multi_indices.MultiIndices method) weights_on_grid() (tensap.approximation.integration.integration_rules.FullTensorProductIntegrationRule method)

with_bounded_norm() (tensap.tools.multi_indices.MultiIndices static method) with_bounded_weighted_norm() (tensap.tools.multi_indices.MultiIndices static method)

Z

z2u() (tensap.functions.tensorizer.Tensorizer static method) zeros() (tensap.tensor_algebra.tensors.canonical_tensor.CanonicalTensor static method) (tensap.tensor_algebra.tensors.diagonal_tensor.DiagonalTensor static method) (tensap.tensor_algebra.tensors.full_tensor.FullTensor static method) (tensap.tensor_algebra.tensors.tree_based_tensor.TreeBasedTensor static method)