Index

A

AAC (class in geomstats.learning.aac) AdaptiveGradientDescent (class in geomstats.learning.frechet_mean) add_points() (geomstats.visualization.hyperbolic.KleinDisk method) (geomstats.visualization.hyperbolic.PoincareDisk method) (geomstats.visualization.hyperbolic.PoincareHalfPlane method) (geomstats.visualization.hypersphere.Circle method) (geomstats.visualization.hypersphere.Sphere method) (geomstats.visualization.poincare_polydisk.PoincarePolyDisk method) (geomstats.visualization.pre_shape.KendallDisk method) (geomstats.visualization.pre_shape.KendallSphere method) (geomstats.visualization.special_euclidean.SpecialEuclidean2 method) adjoint_map() (geomstats.learning.kalman_filter.Localization method) AgglomerativeHierarchicalClustering (class in geomstats.learning.agglomerative_hierarchical_clustering) align() (geomstats.geometry.discrete_curves.DynamicProgrammingAligner method) (geomstats.geometry.discrete_curves.IterativeHorizontalGeodesicAligner method) (geomstats.geometry.discrete_curves.RotationBundle method) (geomstats.geometry.discrete_surfaces.RelaxedPathStraightening method) (geomstats.geometry.fiber_bundle.AlignerAlgorithm method) (geomstats.geometry.fiber_bundle.AlternatingAligner method) (geomstats.geometry.fiber_bundle.DistanceMinimizingAligner method) (geomstats.geometry.fiber_bundle.FiberBundle method) (geomstats.geometry.pre_shape.PreShapeBundle method) (geomstats.geometry.rank_k_psd_matrices.BuresWassersteinBundle method) (geomstats.geometry.stratified.graph_space.GraphSpaceAlignerAlgorithm method) (geomstats.geometry.stratified.graph_space.PointToGeodesicAligner method) (geomstats.geometry.stratified.graph_space.PointToGeodesicAlignerBase method) (geomstats.geometry.stratified.quotient.Aligner method)

align_matrices() (geomstats.geometry.matrices.Matrices class method) align_point_to_geodesic() (geomstats.geometry.stratified.graph_space.GraphSpaceAligner method) Aligner (class in geomstats.geometry.stratified.quotient) AlignerAlgorithm (class in geomstats.geometry.fiber_bundle) AlternatingAligner (class in geomstats.geometry.fiber_bundle) ambient_manifold (geomstats.geometry.discrete_curves.DiscreteCurvesStartingAtOrigin property) ambient_space (geomstats.geometry.stratified.wald_space.WaldSpace attribute) apply_func_to_eigvalsh() (in module geomstats.geometry.hermitian_matrices) Arrow3D (class in geomstats.visualization.special_orthogonal) AutodiffDiffeo (class in geomstats.geometry.diffeo) AutodiffNotImplementedError

B

baker_campbell_hausdorff() (geomstats.geometry.lie_algebra.MatrixLieAlgebra method) BaseGradientDescent (class in geomstats.learning.frechet_mean) BasicWaldGeodesicSolver (class in geomstats.geometry.stratified.wald_space) basis (geomstats.geometry.base.VectorSpace property) basis_representation() (geomstats.geometry.base.DiffeomorphicMatrixVectorSpace method) (geomstats.geometry.base.MatrixVectorSpace method) (geomstats.geometry.general_linear.SquareMatrices method) (geomstats.geometry.hermitian_matrices.HermitianMatrices static method) (geomstats.geometry.lower_triangular_matrices.LowerTriangularMatrices static method) (geomstats.geometry.lower_triangular_matrices.StrictlyLowerTriangularMatrices static method) (geomstats.geometry.matrices.Matrices method) (geomstats.geometry.skew_symmetric_matrices.SkewSymmetricMatrices method) (geomstats.geometry.special_euclidean.SpecialEuclideanMatricesLieAlgebra method) (geomstats.geometry.symmetric_matrices.SymmetricHollowMatrices static method) (geomstats.geometry.symmetric_matrices.SymmetricMatrices static method) BasisRepresentationDiffeo (class in geomstats.geometry.matrices) batches (geomstats.datasets.prepare_emg_data.TimeSeriesCovariance attribute) BatchGradientDescent (class in geomstats.learning.frechet_mean) belongs() (geomstats.geometry.base.ComplexVectorSpace method) (geomstats.geometry.base.DiffeomorphicManifold method) (geomstats.geometry.base.ImmersedSet method) (geomstats.geometry.base.LevelSet method) (geomstats.geometry.base.VectorSpace method) (geomstats.geometry.complex_manifold.ComplexManifold method) (geomstats.geometry.complex_matrices.ComplexMatrices method) (geomstats.geometry.complex_poincare_disk.ComplexPoincareDisk static method) (geomstats.geometry.discrete_surfaces.DiscreteSurfaces method) (geomstats.geometry.full_rank_matrices.FullRankMatrices method) (geomstats.geometry.functions.HilbertSphere method) (geomstats.geometry.general_linear.GeneralLinear method) (geomstats.geometry.hermitian_matrices.HermitianMatrices method) (geomstats.geometry.hpd_matrices.HPDMatrices static method) (geomstats.geometry.klein_bottle.KleinBottle method) (geomstats.geometry.lower_triangular_matrices.LowerTriangularMatrices method) (geomstats.geometry.manifold.Manifold method) (geomstats.geometry.nfold_manifold.NFoldManifold method) (geomstats.geometry.open_hemisphere.OpenHemisphere method) (geomstats.geometry.poincare_ball.PoincareBall method) (geomstats.geometry.poincare_half_space.PoincareHalfSpace method) (geomstats.geometry.positive_lower_triangular_matrices.PositiveLowerTriangularMatrices method) (geomstats.geometry.positive_lower_triangular_matrices.UnitNormedRowsPLTMatrices method) (geomstats.geometry.positive_reals.PositiveReals static method) (geomstats.geometry.product_manifold.ProductManifold method) (geomstats.geometry.rank_k_psd_matrices.RankKPSDMatrices method) (geomstats.geometry.sasaki_metric.TangentBundle method) (geomstats.geometry.siegel.Siegel method) (geomstats.geometry.skew_symmetric_matrices.SkewSymmetricMatrices method) (geomstats.geometry.spd_matrices.SPDMatrices method) (geomstats.geometry.special_euclidean.SpecialEuclideanMatricesLieAlgebra method) (geomstats.geometry.stratified.bhv_space.TreeSpace method) (geomstats.geometry.stratified.point_set.PointSet method) (geomstats.geometry.stratified.spider.Spider method) (geomstats.geometry.stratified.wald_space.WaldSpace method) (geomstats.geometry.symmetric_matrices.SymmetricMatrices method) (geomstats.information_geometry.binomial.BinomialDistributions method) (geomstats.information_geometry.dirichlet.DirichletDistributions method) (geomstats.information_geometry.exponential.ExponentialDistributions method) (geomstats.information_geometry.gamma.GammaDistributions method) (geomstats.information_geometry.geometric.GeometricDistributions method) (geomstats.information_geometry.normal.DiagonalNormalDistributions method) (geomstats.information_geometry.poisson.PoissonDistributions method)

BetaDistributions (class in geomstats.information_geometry.beta) BetaDistributionsRandomVariable (class in geomstats.information_geometry.beta) BetaMetric (class in geomstats.information_geometry.beta) BHVMetric (class in geomstats.geometry.stratified.bhv_space) BiInvariantMetric (class in geomstats.geometry.invariant_metric) BinetKernel() (in module geomstats.varifold) BinomialDistributions (class in geomstats.information_geometry.binomial) BinomialDistributionsRandomVariable (class in geomstats.information_geometry.binomial) BinomialMetric (class in geomstats.information_geometry.binomial) biweight_radial_kernel() (in module geomstats.learning.radial_kernel_functions) bracket() (geomstats.geometry.lie_algebra.MatrixLieAlgebra class method) (geomstats.geometry.matrices.Matrices class method) broadcast_lists() (in module geomstats.geometry.stratified.vectorization) broadcast_to_multibatch() (in module geomstats.vectorization) BrownianMotion (class in geomstats.distributions.brownian_motion) bump_radial_kernel() (in module geomstats.learning.radial_kernel_functions) BuresWassersteinBundle (class in geomstats.geometry.rank_k_psd_matrices)

C

CanonicalEuclideanMetric (class in geomstats.geometry.euclidean) CategoricalDistributions (class in geomstats.information_geometry.categorical) CategoricalMetric (class in geomstats.information_geometry.categorical) CauchyKernel() (in module geomstats.varifold) center() (geomstats.geometry.pre_shape.PreShapeSpace static method) centered_difference() (in module geomstats.numerics.finite_differences) CenteredNormalDistributions (class in geomstats.information_geometry.normal) CenteredNormalMetric (class in geomstats.information_geometry.normal) centre (geomstats.visualization.pre_shape.KendallDisk attribute) check_belongs() (in module geomstats.errors) check_if_separated() (in module geomstats.geometry.stratified.trees) check_integer() (in module geomstats.errors) check_is_batch() (in module geomstats.vectorization) check_parameter_accepted_values() (in module geomstats.errors) check_point_shape() (in module geomstats.errors) check_positive() (in module geomstats.errors) children_ (geomstats.learning.agglomerative_hierarchical_clustering.AgglomerativeHierarchicalClustering attribute) CholeskyMap (class in geomstats.geometry.spd_matrices) CholeskyMetric (class in geomstats.geometry.positive_lower_triangular_matrices) christoffels() (geomstats.geometry.connection.Connection method) (geomstats.geometry.euclidean.EuclideanMetric method) (geomstats.geometry.hypersphere.HypersphereMetric method) (geomstats.geometry.riemannian_metric.RiemannianMetric method) (geomstats.information_geometry.dirichlet.DirichletMetric method) (geomstats.information_geometry.gamma.GammaMetric method) Circle (class in geomstats.visualization.hypersphere) CircleMean (class in geomstats.learning.frechet_mean) classes_ (geomstats.learning.kernel_density_estimation_classifier.KernelDensityEstimationClassifier attribute) (geomstats.learning.knn.KNearestNeighborsClassifier attribute) (geomstats.learning.mdm.RiemannianMinimumDistanceToMean attribute) (geomstats.learning.TemplateClassifier attribute) clear_points() (geomstats.visualization.poincare_polydisk.PoincarePolyDisk method) (geomstats.visualization.pre_shape.KendallDisk method) (geomstats.visualization.pre_shape.KendallSphere method) closest_neighbor_index() (geomstats.geometry.riemannian_metric.RiemannianMetric method) cluster_centers_ (geomstats.learning.online_kmeans.OnlineKMeans attribute) columnwise_scaling() (in module geomstats.algebra_utils) cometric_matrix() (geomstats.geometry.riemannian_metric.RiemannianMetric method) ComplexManifold (class in geomstats.geometry.complex_manifold) ComplexMatrices (class in geomstats.geometry.complex_matrices) ComplexMatricesMetric (class in geomstats.geometry.complex_matrices) ComplexMatrixVectorSpace (class in geomstats.geometry.base) ComplexPoincareDisk (class in geomstats.geometry.complex_poincare_disk) ComplexPoincareDiskMetric (class in geomstats.geometry.complex_poincare_disk) ComplexRiemannianMetric (class in geomstats.geometry.complex_riemannian_metric)

ComplexVectorSpace (class in geomstats.geometry.base) ComplexVectorSpaceOpenSet (class in geomstats.geometry.base) components_ (geomstats.learning.pca.HyperbolicPlaneExactPGA attribute) compose() (geomstats.geometry.heisenberg.HeisenbergVectors method) (geomstats.geometry.lie_group.LieGroup method) (geomstats.geometry.lie_group.MatrixLieGroup static method) (geomstats.test_cases.learning.exponential_barycenter.EuclideanGroup static method) ComposeAction (class in geomstats.geometry.group_action) ComposedDiffeo (class in geomstats.geometry.diffeo) compute_coordinates() (geomstats.visualization.spd_matrices.Ellipses method) compute_gain() (geomstats.learning.kalman_filter.KalmanFilter method) compute_variance_from_index() (geomstats.learning.expectation_maximization.GaussianMixtureModel method) CongruenceAction (class in geomstats.geometry.group_action) congruent() (geomstats.geometry.complex_matrices.ComplexMatrices class method) (geomstats.geometry.matrices.Matrices class method) Connection (class in geomstats.geometry.connection) ConstantValueRowSumsDiffeo (class in geomstats.geometry.symmetric_matrices) convert_to_half_plane_coordinates() (geomstats.visualization.hyperbolic.PoincareHalfPlane static method) convert_to_klein_coordinates() (geomstats.visualization.hyperbolic.KleinDisk static method) convert_to_planar_coordinates() (geomstats.visualization.pre_shape.KendallDisk method) convert_to_poincare_coordinates() (geomstats.visualization.hyperbolic.PoincareDisk static method) (geomstats.visualization.poincare_polydisk.PoincarePolyDisk static method) convert_to_polar_coordinates() (geomstats.visualization.pre_shape.KendallDisk method) (geomstats.visualization.pre_shape.KendallSphere method) convert_to_spherical_coordinates() (geomstats.visualization.pre_shape.KendallSphere method) convert_to_trihedron() (in module geomstats.visualization.special_orthogonal) coords_type (geomstats.visualization.pre_shape.KendallDisk attribute) (geomstats.visualization.pre_shape.KendallSphere attribute) corr (geomstats.geometry.stratified.wald_space.WaldBatch property) corr() (geomstats.geometry.stratified.trees.ForestTopology method) corr_gradient() (geomstats.geometry.stratified.trees.ForestTopology method) corr_map() (in module geomstats.geometry.full_rank_correlation_matrices) CorrelationMatricesBundle (class in geomstats.geometry.full_rank_correlation_matrices) cosine_radial_kernel() (in module geomstats.learning.radial_kernel_functions) covariant_riemann_tensor() (geomstats.geometry.riemannian_metric.RiemannianMetric method) covec (geomstats.datasets.prepare_emg_data.TimeSeriesCovariance attribute) covs (geomstats.datasets.prepare_emg_data.TimeSeriesCovariance attribute) curvature() (geomstats.geometry.connection.Connection method) (geomstats.geometry.hypersphere.HypersphereMetric method) (geomstats.geometry.pullback_metric.PullbackDiffeoMetric method) (geomstats.geometry.quotient_metric.QuotientMetric method) curvature_derivative() (geomstats.geometry.connection.Connection method) (geomstats.geometry.hypersphere.HypersphereMetric method) (geomstats.geometry.pre_shape.PreShapeMetric method) (geomstats.geometry.quotient_metric.QuotientMetric method)

D

data_dict (geomstats.datasets.prepare_emg_data.TimeSeriesCovariance attribute) default_metric() (geomstats.geometry.base.ImmersedSet static method) (geomstats.geometry.complex_matrices.ComplexMatrices static method) (geomstats.geometry.complex_poincare_disk.ComplexPoincareDisk static method) (geomstats.geometry.discrete_curves.DiscreteCurvesStartingAtOrigin static method) (geomstats.geometry.discrete_surfaces.DiscreteSurfaces static method) (geomstats.geometry.euclidean.Euclidean static method) (geomstats.geometry.full_rank_correlation_matrices.FullRankCorrelationMatrices static method) (geomstats.geometry.full_rank_matrices.FullRankMatrices static method) (geomstats.geometry.functions.HilbertSphere static method) (geomstats.geometry.general_linear.GeneralLinear static method) (geomstats.geometry.general_linear.SquareMatrices static method) (geomstats.geometry.grassmannian.Grassmannian static method) (geomstats.geometry.hermitian.Hermitian static method) (geomstats.geometry.hermitian_matrices.HermitianMatrices static method) (geomstats.geometry.hpd_matrices.HPDMatrices static method) (geomstats.geometry.hyperboloid.Hyperboloid static method) (geomstats.geometry.klein_bottle.KleinBottle method) (geomstats.geometry.landmarks.Landmarks static method) (geomstats.geometry.lie_group.LieGroup method) (geomstats.geometry.lower_triangular_matrices.LowerTriangularMatrices static method) (geomstats.geometry.lower_triangular_matrices.StrictlyLowerTriangularMatrices static method) (geomstats.geometry.matrices.Matrices static method) (geomstats.geometry.nfold_manifold.NFoldManifold static method) (geomstats.geometry.open_hemisphere.OpenHemisphere static method) (geomstats.geometry.open_hemisphere.OpenHemispheresProduct static method) (geomstats.geometry.poincare_ball.PoincareBall static method) (geomstats.geometry.poincare_half_space.PoincareHalfSpace static method) (geomstats.geometry.poincare_polydisk.PoincarePolydisk static method) (geomstats.geometry.positive_lower_triangular_matrices.PLTUnitDiagMatrices static method) (geomstats.geometry.positive_lower_triangular_matrices.PositiveLowerTriangularMatrices static method) (geomstats.geometry.positive_lower_triangular_matrices.UnitNormedRowsPLTMatrices static method) (geomstats.geometry.positive_reals.PositiveReals static method) (geomstats.geometry.pre_shape.PreShapeSpace static method) (geomstats.geometry.product_hpd_and_siegel_disks.ProductHPDMatricesAndSiegelDisks static method) (geomstats.geometry.product_manifold.ProductManifold static method) (geomstats.geometry.product_positive_reals_and_poincare_disks.ProductPositiveRealsAndComplexPoincareDisks static method) (geomstats.geometry.rank_k_psd_matrices.RankKPSDMatrices static method) (geomstats.geometry.sasaki_metric.TangentBundle static method) (geomstats.geometry.siegel.Siegel static method) (geomstats.geometry.skew_symmetric_matrices.SkewSymmetricMatrices static method) (geomstats.geometry.spd_matrices.SPDMatrices static method) (geomstats.geometry.special_euclidean.SpecialEuclideanMatricesLieAlgebra static method) (geomstats.geometry.stiefel.Stiefel static method) (geomstats.geometry.stratified.bhv_space.TreeSpace static method) (geomstats.geometry.stratified.spider.Spider static method) (geomstats.geometry.stratified.wald_space.WaldSpace static method) (geomstats.geometry.symmetric_matrices.NullRowSumsSymmetricMatrices static method) (geomstats.geometry.symmetric_matrices.SymmetricHollowMatrices static method) (geomstats.geometry.symmetric_matrices.SymmetricMatrices static method) (geomstats.information_geometry.beta.BetaDistributions static method) (geomstats.information_geometry.binomial.BinomialDistributions static method) (geomstats.information_geometry.categorical.CategoricalDistributions static method) (geomstats.information_geometry.dirichlet.DirichletDistributions static method) (geomstats.information_geometry.exponential.ExponentialDistributions static method) (geomstats.information_geometry.gamma.GammaDistributions static method) (geomstats.information_geometry.geometric.GeometricDistributions static method) (geomstats.information_geometry.multinomial.MultinomialDistributions static method) (geomstats.information_geometry.normal.CenteredNormalDistributions static method) (geomstats.information_geometry.normal.DiagonalNormalDistributions static method) (geomstats.information_geometry.normal.UnivariateNormalDistributions static method) (geomstats.information_geometry.poisson.PoissonDistributions static method) delete_splits() (in module geomstats.geometry.stratified.trees) diag_action() (geomstats.geometry.full_rank_correlation_matrices.FullRankCorrelationMatrices static method) diag_inner_product() (geomstats.geometry.positive_lower_triangular_matrices.CholeskyMetric static method) diagonal() (geomstats.geometry.matrices.Matrices static method) DiagonalNormalDistributions (class in geomstats.information_geometry.normal) DiagonalNormalDistributionsRandomVariable (class in geomstats.information_geometry.normal) DiagonalNormalMetric (class in geomstats.information_geometry.normal) diags (geomstats.datasets.prepare_emg_data.TimeSeriesCovariance attribute)

diameter() (geomstats.geometry.riemannian_metric.RiemannianMetric method) Diffeo (class in geomstats.geometry.diffeo) DiffeomorphicManifold (class in geomstats.geometry.base) DiffeomorphicMatrixVectorSpace (class in geomstats.geometry.base) DiffeomorphicVectorSpace (class in geomstats.geometry.base) dim (geomstats.information_geometry.beta.BetaDistributions attribute) (geomstats.information_geometry.categorical.CategoricalDistributions attribute) (geomstats.information_geometry.dirichlet.DirichletDistributions attribute) (geomstats.information_geometry.multinomial.MultinomialDistributions attribute) directional_curvature() (geomstats.geometry.connection.Connection method) directional_curvature_derivative() (geomstats.geometry.connection.Connection method) (geomstats.geometry.pre_shape.KendallShapeMetric method) (geomstats.geometry.quotient_metric.QuotientMetric method) DirichletDistributions (class in geomstats.information_geometry.dirichlet) DirichletMetric (class in geomstats.information_geometry.dirichlet) DirichletRandomVariable (class in geomstats.information_geometry.dirichlet) discrete_curves_with_l2 (geomstats.geometry.discrete_curves.DiscreteCurvesStartingAtOrigin property) discrete_geodesic() (geomstats.geometry.stratified.wald_space.BasicWaldGeodesicSolver method) (geomstats.geometry.stratified.wald_space.WaldSpaceMetric method) discrete_geodesic_bvp() (geomstats.geometry.discrete_surfaces.RelaxedPathStraightening method) (geomstats.numerics.geodesic.PathBasedLogSolver method) discrete_geodesic_ivp() (geomstats.geometry.discrete_surfaces.DiscreteSurfacesExpSolver method) discrete_horizontal_geodesic() (geomstats.geometry.discrete_curves.IterativeHorizontalGeodesicAligner method) DiscreteCurves (class in geomstats.geometry.discrete_curves) DiscreteCurvesStartingAtOrigin (class in geomstats.geometry.discrete_curves) DiscreteSurfaces (class in geomstats.geometry.discrete_surfaces) DiscreteSurfacesExpSolver (class in geomstats.geometry.discrete_surfaces) DiscreteWaldPath (class in geomstats.geometry.stratified.wald_space) dist() (geomstats.geometry.complex_poincare_disk.ComplexPoincareDiskMetric method) (geomstats.geometry.hyperboloid.HyperboloidMetric method) (geomstats.geometry.hypersphere.HypersphereMetric method) (geomstats.geometry.poincare_ball.PoincareBallMetric method) (geomstats.geometry.positive_reals.PositiveRealsMetric method) (geomstats.geometry.product_manifold.ProductRiemannianMetric method) (geomstats.geometry.pullback_metric.PullbackDiffeoMetric method) (geomstats.geometry.riemannian_metric.RiemannianMetric method) (geomstats.geometry.stratified.bhv_space.BHVMetric method) (geomstats.geometry.stratified.bhv_space.GTPSolver method) (geomstats.geometry.stratified.graph_space.PointToGeodesicAligner method) (geomstats.geometry.stratified.graph_space.PointToGeodesicAlignerBase method) (geomstats.geometry.stratified.point_set.PointSetMetric method) (geomstats.geometry.stratified.quotient.QuotientMetric method) (geomstats.geometry.stratified.spider.SpiderMetric method) (geomstats.geometry.stratified.wald_space.WaldSpaceMetric method) (geomstats.varifold.VarifoldMetric method) dist_broadcast() (geomstats.geometry.riemannian_metric.RiemannianMetric method) dist_pairwise() (geomstats.geometry.riemannian_metric.RiemannianMetric method) DistanceMinimizingAligner (class in geomstats.geometry.fiber_bundle) draw() (geomstats.visualization.hyperbolic.KleinDisk method) (geomstats.visualization.hyperbolic.PoincareDisk method) (geomstats.visualization.hyperbolic.PoincareHalfPlane method) (geomstats.visualization.hypersphere.Circle method) (geomstats.visualization.hypersphere.Sphere method) (geomstats.visualization.poincare_polydisk.PoincarePolyDisk method) (geomstats.visualization.pre_shape.KendallDisk method) (geomstats.visualization.pre_shape.KendallSphere method) (geomstats.visualization.special_orthogonal.Arrow3D method) (geomstats.visualization.special_orthogonal.Trihedron method) draw_curve() (geomstats.visualization.pre_shape.KendallDisk method) (geomstats.visualization.pre_shape.KendallSphere method) draw_points() (geomstats.visualization.hypersphere.Circle method) (geomstats.visualization.hypersphere.Sphere method) (geomstats.visualization.pre_shape.KendallDisk method) (geomstats.visualization.pre_shape.KendallSphere method) (geomstats.visualization.spd_matrices.Ellipses method) (geomstats.visualization.special_euclidean.SpecialEuclidean2 method) draw_triangle() (geomstats.visualization.pre_shape.KendallDisk method) (geomstats.visualization.pre_shape.KendallSphere method) draw_vector() (geomstats.visualization.pre_shape.KendallDisk method) (geomstats.visualization.pre_shape.KendallSphere method) DynamicProgrammingAligner (class in geomstats.geometry.discrete_curves)

E

edges (geomstats.datasets.prepare_graph_data.Graph attribute) effective_metric_ (geomstats.learning.kernel_density_estimation_classifier.KernelDensityEstimationClassifier attribute) (geomstats.learning.knn.KNearestNeighborsClassifier attribute) effective_metric_params_ (geomstats.learning.kernel_density_estimation_classifier.KernelDensityEstimationClassifier attribute) (geomstats.learning.knn.KNearestNeighborsClassifier attribute) ElasticMean (class in geomstats.learning.frechet_mean) ElasticMetric (class in geomstats.geometry.discrete_curves) (class in geomstats.geometry.discrete_surfaces) Ellipses (class in geomstats.visualization.spd_matrices) embed() (geomstats.datasets.prepare_graph_data.HyperbolicEmbedding method) EmbeddedSpaceRandomDataGenerator (class in geomstats.test.random) embedding_manifold (geomstats.information_geometry.categorical.CategoricalDistributions attribute) (geomstats.information_geometry.multinomial.MultinomialDistributions attribute) embedding_space (geomstats.information_geometry.beta.BetaDistributions attribute) energy() (geomstats.numerics.path.UniformlySampledPathEnergy method) energy_per_time() (geomstats.numerics.path.UniformlySampledPathEnergy method) equal() (geomstats.geometry.matrices.Matrices static method) (geomstats.geometry.stratified.bhv_space.Tree method) (geomstats.geometry.stratified.point_set.Point method) (geomstats.geometry.stratified.point_set.PointBatch method) (geomstats.geometry.stratified.spider.SpiderPoint method) (geomstats.geometry.stratified.wald_space.Wald method) equip_with_group_action() (geomstats.geometry.manifold.Manifold method) (geomstats.geometry.stratified.graph_space.GraphSpace method) equip_with_metric() (geomstats.geometry.complex_manifold.ComplexManifold method) (geomstats.geometry.manifold.Manifold method) (geomstats.geometry.stratified.point_set.PointSet method) equip_with_quotient() (geomstats.geometry.manifold.Manifold method) equivalent() (geomstats.geometry.klein_bottle.KleinBottle static method) estimate_ (geomstats.learning.exponential_barycenter.ExponentialBarycenter attribute) (geomstats.learning.frechet_mean.CircleMean attribute) (geomstats.learning.frechet_mean.ElasticMean attribute) (geomstats.learning.frechet_mean.FrechetMean attribute) (geomstats.learning.frechet_mean.LinearMean attribute) (geomstats.learning.geometric_median.GeometricMedian attribute) Euclidean (class in geomstats.geometry.euclidean) EuclideanCholeskyDiffeo (class in geomstats.geometry.full_rank_correlation_matrices) EuclideanCholeskyMetric (class in geomstats.geometry.full_rank_correlation_matrices) EuclideanGroup (class in geomstats.test_cases.learning.exponential_barycenter) EuclideanMetric (class in geomstats.geometry.euclidean) euler_step() (in module geomstats.integrator) ExactPGA (class in geomstats.learning.pca) ExhaustiveAligner (class in geomstats.geometry.stratified.graph_space) exp() (geomstats.geometry.complex_poincare_disk.ComplexPoincareDiskMetric static method) (geomstats.geometry.connection.Connection method) (geomstats.geometry.discrete_surfaces.DiscreteSurfacesExpSolver method) (geomstats.geometry.euclidean.Euclidean method) (geomstats.geometry.euclidean.EuclideanMetric method) (geomstats.geometry.functions.HilbertSphereMetric method) (geomstats.geometry.grassmannian.GrassmannianCanonicalMetric method) (geomstats.geometry.hermitian.Hermitian method) (geomstats.geometry.hermitian.HermitianMetric static method) (geomstats.geometry.hpd_matrices.HPDAffineMetric method) (geomstats.geometry.hpd_matrices.HPDBuresWassersteinMetric method) (geomstats.geometry.hyperboloid.HyperboloidMetric method) (geomstats.geometry.hypersphere.HypersphereMetric method) (geomstats.geometry.invariant_metric.BiInvariantMetric method) (geomstats.geometry.invariant_metric.InvariantMetricMatrixExpODESolver method) (geomstats.geometry.klein_bottle.KleinBottleMetric method) (geomstats.geometry.lie_group.LieGroup method) (geomstats.geometry.lie_group.MatrixLieGroup class method) (geomstats.geometry.nfold_manifold.NFoldMetric method) (geomstats.geometry.poincare_ball.PoincareBallMetric method) (geomstats.geometry.positive_lower_triangular_matrices.CholeskyMetric method) (geomstats.geometry.positive_reals.PositiveRealsMetric static method) (geomstats.geometry.product_manifold.ProductRiemannianMetric method) (geomstats.geometry.pullback_metric.PullbackDiffeoMetric method) (geomstats.geometry.quotient_metric.QuotientMetric method) (geomstats.geometry.sasaki_metric.SasakiMetric method) (geomstats.geometry.siegel.SiegelMetric method) (geomstats.geometry.spd_matrices.SPDAffineMetric method) (geomstats.geometry.spd_matrices.SPDBuresWassersteinMetric method) (geomstats.geometry.special_euclidean.SpecialEuclideanMatricesCanonicalLeftMetric method) (geomstats.geometry.stiefel.StiefelCanonicalMetric method) (geomstats.geometry.sub_riemannian_metric.SubRiemannianMetric method) (geomstats.information_geometry.binomial.BinomialMetric method) (geomstats.information_geometry.exponential.ExponentialMetric method) (geomstats.information_geometry.geometric.GeometricMetric method) (geomstats.information_geometry.multinomial.MultinomialMetric method) (geomstats.information_geometry.normal.DiagonalNormalMetric method) (geomstats.information_geometry.poisson.PoissonMetric method) (geomstats.numerics.geodesic.ExpODESolver method) (geomstats.numerics.geodesic.ExpSolver method) (geomstats.test_cases.learning.exponential_barycenter.EuclideanGroup method)

exp_at_zero() (geomstats.geometry.siegel.SiegelMetric static method) exp_domain() (geomstats.geometry.hpd_matrices.HPDEuclideanMetric static method) (geomstats.geometry.spd_matrices.SPDEuclideanMetric static method) exp_from_identity() (geomstats.geometry.heisenberg.HeisenbergVectors method) (geomstats.geometry.lie_group.LieGroup method) exp_not_from_identity() (geomstats.geometry.lie_group.LieGroup method) expmh() (in module geomstats.geometry.hermitian_matrices) ExpODESolver (class in geomstats.numerics.geodesic) ExponentialBarycenter (class in geomstats.learning.exponential_barycenter) ExponentialDistributions (class in geomstats.information_geometry.exponential) ExponentialDistributionsRandomVariable (class in geomstats.information_geometry.exponential) ExponentialMetric (class in geomstats.information_geometry.exponential) ExpSolver (class in geomstats.numerics.geodesic) extrinsic_to_intrinsic_coords() (geomstats.geometry.base.LevelSet method) (geomstats.geometry.hyperboloid.Hyperboloid method)

F

face_areas() (geomstats.geometry.discrete_surfaces.DiscreteSurfaces method) fail_for_autodiff_exceptions (geomstats.test.data.TestData attribute) fail_for_not_implemented_errors (geomstats.test.data.TestData attribute) FAQAligner (class in geomstats.geometry.stratified.graph_space) FiberBundle (class in geomstats.geometry.fiber_bundle) FisherRaoMetric (class in geomstats.information_geometry.fisher_rao_metric) fit() (geomstats.learning.expectation_maximization.RiemannianEM method) (geomstats.learning.exponential_barycenter.ExponentialBarycenter method) (geomstats.learning.frechet_mean.CircleMean method) (geomstats.learning.frechet_mean.ElasticMean method) (geomstats.learning.frechet_mean.FrechetMean method) (geomstats.learning.frechet_mean.LinearMean method) (geomstats.learning.geodesic_regression.GeodesicRegression method) (geomstats.learning.geometric_median.GeometricMedian method) (geomstats.learning.incremental_frechet_mean.IncrementalFrechetMean method) (geomstats.learning.kmeans.RiemannianKMeans method) (geomstats.learning.kmedoids.RiemannianKMedoids method) (geomstats.learning.mdm.RiemannianMinimumDistanceToMean method) (geomstats.learning.online_kmeans.OnlineKMeans method) (geomstats.learning.pca.HyperbolicPlaneExactPGA method) (geomstats.learning.pca.TangentPCA method) (geomstats.learning.preprocessing.ToTangentSpace method) (geomstats.learning.riemannian_mean_shift.RiemannianMeanShift method) (geomstats.learning.TemplateClassifier method) (geomstats.learning.TemplateEstimator method) (geomstats.learning.TemplateTransformer method) (geomstats.learning.wrapped_gaussian_process.WrappedGaussianProcess method)

fit_transform() (geomstats.learning.pca.HyperbolicPlaneExactPGA method) (geomstats.learning.pca.TangentPCA method) flatten() (geomstats.geometry.matrices.Matrices static method) FlattenDiffeo (class in geomstats.geometry.matrices) flip_determinant() (in module geomstats.algebra_utils) ForestTopology (class in geomstats.geometry.stratified.trees) forward_difference() (in module geomstats.numerics.finite_differences) FrechetMean (class in geomstats.learning.frechet_mean) frobenius_product() (geomstats.geometry.complex_matrices.ComplexMatrices static method) (geomstats.geometry.matrices.Matrices static method) from_covariance() (geomstats.geometry.full_rank_correlation_matrices.FullRankCorrelationMatrices class method) from_vector_to_diagonal_matrix() (in module geomstats.algebra_utils) FTransform (class in geomstats.geometry.discrete_curves) FullRankCorrelationAffineQuotientMetric (class in geomstats.geometry.full_rank_correlation_matrices) FullRankCorrelationMatrices (class in geomstats.geometry.full_rank_correlation_matrices) FullRankMatrices (class in geomstats.geometry.full_rank_matrices)

G

GammaDistributions (class in geomstats.information_geometry.gamma) GammaDistributionsRandomVariable (class in geomstats.information_geometry.gamma) GammaMetric (class in geomstats.information_geometry.gamma) GammaRandomDataGenerator (class in geomstats.test.random) gaussian_radial_kernel() (in module geomstats.learning.radial_kernel_functions) GaussianKernel() (in module geomstats.varifold) GaussianMixtureModel (class in geomstats.learning.expectation_maximization) generalized_eigenvalues() (in module geomstats.geometry.spd_matrices) GeneralLinear (class in geomstats.geometry.general_linear) GeneralNormalDistributions (class in geomstats.information_geometry.normal) generate_random_data() (geomstats.test.data.TestData method) generate_random_data_with_time() (geomstats.test.data.TestData method) generate_random_tree() (in module geomstats.geometry.stratified.bhv_space) generate_random_wald() (in module geomstats.geometry.stratified.wald_space) generate_shape_data() (geomstats.test.data.TestData method) generate_splits() (in module geomstats.geometry.stratified.trees) generate_tests() (geomstats.test.data.TestData method) generate_vec_data() (geomstats.test.data.TestData method) generate_vec_data_with_time() (geomstats.test.data.TestData method) generate_vectorization_data() (in module geomstats.test.vectorization) geodesic() (geomstats.geometry.connection.Connection method) (geomstats.geometry.euclidean.EuclideanMetric method) (geomstats.geometry.product_manifold.ProductRiemannianMetric method) (geomstats.geometry.pullback_metric.PullbackDiffeoMetric method) (geomstats.geometry.quotient_metric.QuotientMetric method) (geomstats.geometry.special_euclidean.SpecialEuclideanMatricesCanonicalLeftMetric method) (geomstats.geometry.stratified.bhv_space.BHVMetric method) (geomstats.geometry.stratified.bhv_space.GTPSolver method) (geomstats.geometry.stratified.point_set.PointSetMetric method) (geomstats.geometry.stratified.quotient.QuotientMetric method) (geomstats.geometry.stratified.spider.SpiderMetric method) (geomstats.geometry.stratified.wald_space.BasicWaldGeodesicSolver method) (geomstats.geometry.stratified.wald_space.WaldSpaceMetric method) (geomstats.geometry.sub_riemannian_metric.SubRiemannianMetric method) (geomstats.information_geometry.multinomial.MultinomialMetric method) geodesic_bvp() (geomstats.numerics.geodesic.LogODESolver method) (geomstats.numerics.geodesic.LogSolver method) (geomstats.numerics.geodesic.PathBasedLogSolver method) geodesic_discrete() (geomstats.geometry.sasaki_metric.SasakiMetric method) geodesic_equation() (geomstats.geometry.connection.Connection method) geodesic_ivp() (geomstats.geometry.discrete_surfaces.DiscreteSurfacesExpSolver method) (geomstats.geometry.invariant_metric.InvariantMetricMatrixExpODESolver method) (geomstats.numerics.geodesic.ExpODESolver method) (geomstats.numerics.geodesic.ExpSolver method) GeodesicRegression (class in geomstats.learning.geodesic_regression) GeometricDistributions (class in geomstats.information_geometry.geometric) GeometricDistributionsRandomVariable (class in geomstats.information_geometry.geometric) GeometricMedian (class in geomstats.learning.geometric_median) GeometricMetric (class in geomstats.information_geometry.geometric) geomstats module geomstats.algebra_utils module geomstats.datasets module geomstats.datasets.prepare_emg_data module geomstats.datasets.prepare_graph_data module geomstats.datasets.utils module geomstats.distributions module geomstats.distributions.brownian_motion module geomstats.distributions.lognormal module geomstats.errors module geomstats.exceptions module geomstats.geometry module geomstats.geometry.base module geomstats.geometry.complex_manifold module geomstats.geometry.complex_matrices module geomstats.geometry.complex_poincare_disk module geomstats.geometry.complex_riemannian_metric module geomstats.geometry.connection module geomstats.geometry.diffeo module geomstats.geometry.discrete_curves module geomstats.geometry.discrete_surfaces module geomstats.geometry.euclidean module geomstats.geometry.fiber_bundle module geomstats.geometry.full_rank_correlation_matrices module geomstats.geometry.full_rank_matrices module geomstats.geometry.functions module geomstats.geometry.general_linear module geomstats.geometry.grassmannian module geomstats.geometry.group_action module geomstats.geometry.heisenberg module geomstats.geometry.hermitian module geomstats.geometry.hermitian_matrices module geomstats.geometry.hpd_matrices module geomstats.geometry.hyperbolic module geomstats.geometry.hyperboloid module geomstats.geometry.hypersphere module geomstats.geometry.invariant_metric module geomstats.geometry.klein_bottle module geomstats.geometry.landmarks module geomstats.geometry.lie_algebra module geomstats.geometry.lie_group module geomstats.geometry.lower_triangular_matrices module geomstats.geometry.manifold module geomstats.geometry.matrices module geomstats.geometry.minkowski module geomstats.geometry.nfold_manifold module geomstats.geometry.open_hemisphere module geomstats.geometry.poincare_ball module geomstats.geometry.poincare_half_space module geomstats.geometry.poincare_polydisk module geomstats.geometry.positive_lower_triangular_matrices module geomstats.geometry.positive_reals module geomstats.geometry.pre_shape module geomstats.geometry.product_hpd_and_siegel_disks module geomstats.geometry.product_manifold module geomstats.geometry.product_positive_reals_and_poincare_disks module geomstats.geometry.pullback_metric module geomstats.geometry.quotient_metric module geomstats.geometry.rank_k_psd_matrices module geomstats.geometry.riemannian_metric module geomstats.geometry.sasaki_metric module geomstats.geometry.scalar_product_metric module geomstats.geometry.siegel module geomstats.geometry.skew_symmetric_matrices module geomstats.geometry.spd_matrices module geomstats.geometry.special_euclidean module geomstats.geometry.special_orthogonal module

geomstats.geometry.stiefel module geomstats.geometry.stratified module geomstats.geometry.stratified.bhv_space module geomstats.geometry.stratified.graph_space module geomstats.geometry.stratified.point_set module geomstats.geometry.stratified.quotient module geomstats.geometry.stratified.spider module geomstats.geometry.stratified.trees module geomstats.geometry.stratified.vectorization module geomstats.geometry.stratified.wald_space module geomstats.geometry.sub_riemannian_metric module geomstats.geometry.symmetric_matrices module geomstats.information_geometry module geomstats.information_geometry.base module geomstats.information_geometry.beta module geomstats.information_geometry.binomial module geomstats.information_geometry.categorical module geomstats.information_geometry.dirichlet module geomstats.information_geometry.exponential module geomstats.information_geometry.fisher_rao_metric module geomstats.information_geometry.gamma module geomstats.information_geometry.geometric module geomstats.information_geometry.multinomial module geomstats.information_geometry.normal module geomstats.information_geometry.poisson module geomstats.integrator module geomstats.learning module geomstats.learning.aac module geomstats.learning.agglomerative_hierarchical_clustering module geomstats.learning.expectation_maximization module geomstats.learning.exponential_barycenter module geomstats.learning.frechet_mean module geomstats.learning.geodesic_regression module geomstats.learning.geometric_median module geomstats.learning.incremental_frechet_mean module geomstats.learning.kalman_filter module geomstats.learning.kernel_density_estimation_classifier module geomstats.learning.kmeans module geomstats.learning.kmedoids module geomstats.learning.knn module geomstats.learning.mdm module geomstats.learning.online_kmeans module geomstats.learning.pca module geomstats.learning.preprocessing module geomstats.learning.radial_kernel_functions module geomstats.learning.riemannian_mean_shift module geomstats.learning.wrapped_gaussian_process module geomstats.numerics module geomstats.numerics.bvp module geomstats.numerics.finite_differences module geomstats.numerics.geodesic module geomstats.numerics.interpolation module geomstats.numerics.ivp module geomstats.numerics.optimization module geomstats.numerics.path module geomstats.test module geomstats.test.data module geomstats.test.random module geomstats.test.utils module geomstats.test.vectorization module geomstats.test_cases module geomstats.test_cases.datasets module geomstats.test_cases.distributions module geomstats.test_cases.geometry module geomstats.test_cases.geometry.stratified module geomstats.test_cases.information_geometry module geomstats.test_cases.learning module geomstats.test_cases.learning.exponential_barycenter module geomstats.test_cases.numerics module geomstats.varifold module geomstats.vectorization module geomstats.visualization module geomstats.visualization.hyperbolic module geomstats.visualization.hypersphere module geomstats.visualization.poincare_polydisk module geomstats.visualization.pre_shape module geomstats.visualization.spd_matrices module geomstats.visualization.special_euclidean module geomstats.visualization.special_orthogonal module get_batch_shape() (in module geomstats.vectorization) get_fibonnaci_points() (geomstats.visualization.hypersphere.Sphere method) get_last_y() (geomstats.numerics.ivp.OdeResult method) get_measurement_noise_cov() (geomstats.learning.kalman_filter.Localization method) (geomstats.learning.kalman_filter.LocalizationLinear static method) get_n_points() (in module geomstats.vectorization) get_part_away_from() (geomstats.geometry.stratified.trees.Split method) get_part_towards() (geomstats.geometry.stratified.trees.Split method) get_random_quaternion() (in module geomstats.test.random) get_random_times() (in module geomstats.test.random) grad_log_sigmoid() (geomstats.datasets.prepare_graph_data.HyperbolicEmbedding static method) grad_squared_distance() (geomstats.datasets.prepare_graph_data.HyperbolicEmbedding method) GradientDescent (class in geomstats.geometry.sasaki_metric) (class in geomstats.learning.exponential_barycenter) (class in geomstats.learning.frechet_mean) Graph (class in geomstats.datasets.prepare_graph_data) GraphSpace (class in geomstats.geometry.stratified.graph_space) GraphSpaceAligner (class in geomstats.geometry.stratified.graph_space) GraphSpaceAlignerAlgorithm (class in geomstats.geometry.stratified.graph_space) GraphSpaceQuotientMetric (class in geomstats.geometry.stratified.graph_space) Grassmannian (class in geomstats.geometry.grassmannian) GrassmannianCanonicalMetric (class in geomstats.geometry.grassmannian) group_elem_shape (geomstats.geometry.group_action.ComposeAction property) GroupAction (class in geomstats.geometry.group_action) GSIVPIntegrator (class in geomstats.numerics.ivp) GTPSolver (class in geomstats.geometry.stratified.bhv_space)

H

hamiltonian() (geomstats.geometry.riemannian_metric.RiemannianMetric method) (geomstats.geometry.sub_riemannian_metric.SubRiemannianMetric method) HeisenbergVectors (class in geomstats.geometry.heisenberg) HeisenbergVectorsRandomDataGenerator (class in geomstats.test.random) Hermitian (class in geomstats.geometry.hermitian) HermitianMatrices (class in geomstats.geometry.hermitian_matrices) HermitianMetric (class in geomstats.geometry.hermitian) hessian_immersion() (geomstats.geometry.base.ImmersedSet method) HilbertSphere (class in geomstats.geometry.functions) HilbertSphereMetric (class in geomstats.geometry.functions) HollowMatricesPermutationInvariantMetric (class in geomstats.geometry.symmetric_matrices) homogeneous_representation() (in module geomstats.geometry.special_euclidean) horizontal_lift() (geomstats.geometry.fiber_bundle.FiberBundle method) (geomstats.geometry.full_rank_correlation_matrices.CorrelationMatricesBundle method) (geomstats.geometry.rank_k_psd_matrices.BuresWassersteinBundle method)

horizontal_projection() (geomstats.geometry.fiber_bundle.FiberBundle method) HPDAffineMetric (class in geomstats.geometry.hpd_matrices) HPDBuresWassersteinMetric (class in geomstats.geometry.hpd_matrices) HPDEuclideanMetric (class in geomstats.geometry.hpd_matrices) HPDLogEuclideanMetric (class in geomstats.geometry.hpd_matrices) HPDMatrices (class in geomstats.geometry.hpd_matrices) Hyperbolic (class in geomstats.geometry.hyperbolic) HyperbolicEmbedding (class in geomstats.datasets.prepare_graph_data) HyperbolicPlaneExactPGA (class in geomstats.learning.pca) Hyperboloid (class in geomstats.geometry.hyperboloid) HyperboloidMetric (class in geomstats.geometry.hyperboloid) Hypersphere (class in geomstats.geometry.hypersphere) HypersphereIntrinsicRandomDataGenerator (class in geomstats.test.random) HypersphereMetric (class in geomstats.geometry.hypersphere)

I

identity (geomstats.geometry.euclidean.Euclidean property) (geomstats.geometry.heisenberg.HeisenbergVectors property) (geomstats.geometry.hermitian.Hermitian property) (geomstats.geometry.lie_group.LieGroup property) (geomstats.geometry.lie_group.MatrixLieGroup property) IdentityPointTransformer (class in geomstats.test.utils) ImmersedSet (class in geomstats.geometry.base) immersion() (geomstats.geometry.base.ImmersedSet method) IncrementalFrechetMean (class in geomstats.learning.incremental_frechet_mean) InformationManifoldMixin (class in geomstats.information_geometry.base) initialize_covariances() (geomstats.learning.kalman_filter.KalmanFilter method) injectivity_radius() (geomstats.geometry.connection.Connection method) (geomstats.geometry.euclidean.EuclideanMetric method) (geomstats.geometry.grassmannian.GrassmannianCanonicalMetric method) (geomstats.geometry.hpd_matrices.HPDAffineMetric method) (geomstats.geometry.hpd_matrices.HPDBuresWassersteinMetric method) (geomstats.geometry.hpd_matrices.HPDEuclideanMetric method) (geomstats.geometry.hyperboloid.HyperboloidMetric method) (geomstats.geometry.hypersphere.HypersphereMetric method) (geomstats.geometry.invariant_metric.BiInvariantMetric method) (geomstats.geometry.klein_bottle.KleinBottleMetric method) (geomstats.geometry.poincare_ball.PoincareBallMetric method) (geomstats.geometry.poincare_half_space.PoincareHalfSpaceMetric method) (geomstats.geometry.pre_shape.PreShapeMetric method) (geomstats.geometry.spd_matrices.SPDAffineMetric method) (geomstats.geometry.spd_matrices.SPDBuresWassersteinMetric method) (geomstats.geometry.spd_matrices.SPDEuclideanMetric method) (geomstats.geometry.special_euclidean.SpecialEuclideanMatricesCanonicalLeftMetric method) (geomstats.geometry.stiefel.StiefelCanonicalMetric method) (geomstats.information_geometry.dirichlet.DirichletMetric method) (geomstats.information_geometry.normal.DiagonalNormalMetric method) inner_coproduct() (geomstats.geometry.riemannian_metric.RiemannianMetric method) (geomstats.geometry.sub_riemannian_metric.SubRiemannianMetric method) inner_product() (geomstats.geometry.complex_matrices.ComplexMatricesMetric static method) (geomstats.geometry.complex_riemannian_metric.ComplexRiemannianMetric method) (geomstats.geometry.discrete_curves.L2CurvesMetric method) (geomstats.geometry.discrete_surfaces.ElasticMetric method) (geomstats.geometry.discrete_surfaces.L2SurfacesMetric method) (geomstats.geometry.euclidean.CanonicalEuclideanMetric method) (geomstats.geometry.functions.HilbertSphereMetric method) (geomstats.geometry.grassmannian.GrassmannianCanonicalMetric method) (geomstats.geometry.hermitian.HermitianMetric static method) (geomstats.geometry.hpd_matrices.HPDAffineMetric method) (geomstats.geometry.hpd_matrices.HPDBuresWassersteinMetric method) (geomstats.geometry.hyperboloid.HyperboloidMetric method) (geomstats.geometry.hypersphere.HypersphereMetric method) (geomstats.geometry.invariant_metric.BiInvariantMetric method) (geomstats.geometry.klein_bottle.KleinBottleMetric method) (geomstats.geometry.matrices.MatricesDiagMetric method) (geomstats.geometry.matrices.MatricesMetric method) (geomstats.geometry.nfold_manifold.NFoldMetric method) (geomstats.geometry.poincare_half_space.PoincareHalfSpaceMetric method) (geomstats.geometry.positive_lower_triangular_matrices.CholeskyMetric class method) (geomstats.geometry.product_manifold.ProductRiemannianMetric method) (geomstats.geometry.pullback_metric.PullbackDiffeoMetric method) (geomstats.geometry.quotient_metric.QuotientMetric method) (geomstats.geometry.riemannian_metric.RiemannianMetric method) (geomstats.geometry.sasaki_metric.SasakiMetric method) (geomstats.geometry.siegel.SiegelMetric method) (geomstats.geometry.spd_matrices.SPDAffineMetric method) (geomstats.geometry.spd_matrices.SPDBuresWassersteinMetric method) (geomstats.geometry.special_euclidean.SpecialEuclideanMatricesCanonicalLeftMetric method) (geomstats.geometry.stiefel.StiefelCanonicalMetric method) (geomstats.geometry.symmetric_matrices.HollowMatricesPermutationInvariantMetric method) (geomstats.geometry.symmetric_matrices.NullRowSumsPermutationInvariantMetric method) (geomstats.information_geometry.normal.DiagonalNormalMetric method) inner_product_at_identity() (geomstats.geometry.invariant_metric.BiInvariantMetric method) (geomstats.geometry.positive_lower_triangular_matrices.InvariantPositiveLowerTriangularMatricesMetric method) inner_product_derivative_matrix() (geomstats.geometry.euclidean.EuclideanMetric method) (geomstats.geometry.pullback_metric.PullbackMetric method) (geomstats.geometry.riemannian_metric.RiemannianMetric method) (geomstats.information_geometry.fisher_rao_metric.FisherRaoMetric method) innovation() (geomstats.learning.kalman_filter.Localization method) (geomstats.learning.kalman_filter.LocalizationLinear method) insert_origin() (geomstats.geometry.discrete_curves.DiscreteCurvesStartingAtOrigin method) insert_zeros() (in module geomstats.geometry.discrete_curves) integrability_tensor() (geomstats.geometry.fiber_bundle.FiberBundle method) (geomstats.geometry.pre_shape.PreShapeBundle method) integrability_tensor_derivative() (geomstats.geometry.fiber_bundle.FiberBundle method) (geomstats.geometry.pre_shape.PreShapeBundle method) integrability_tensor_derivative_parallel() (geomstats.geometry.pre_shape.PreShapeBundle method) integrate() (geomstats.numerics.bvp.ScipySolveBVP method) (geomstats.numerics.ivp.GSIVPIntegrator method) (geomstats.numerics.ivp.ODEIVPIntegrator method) (geomstats.numerics.ivp.ScipySolveIVP method) (in module geomstats.integrator) integrate_t() (geomstats.numerics.ivp.ODEIVPIntegrator method) (geomstats.numerics.ivp.ScipySolveIVP method) integrator (geomstats.numerics.geodesic.ExpODESolver property) interpolate() (geomstats.geometry.discrete_curves.DiscreteCurvesStartingAtOrigin method) (geomstats.numerics.interpolation.Interpolator method) Interpolator (class in geomstats.numerics.interpolation) intrinsic_to_extrinsic_coords() (geomstats.geometry.base.LevelSet method) (geomstats.geometry.hyperboloid.Hyperboloid method) (geomstats.geometry.poincare_polydisk.PoincarePolydisk static method) InvariantMetric (class in geomstats.geometry.invariant_metric)

InvariantMetricMatrixExpODESolver (class in geomstats.geometry.invariant_metric) InvariantMetricMatrixLogODESolver (class in geomstats.geometry.invariant_metric) InvariantPositiveLowerTriangularMatricesMetric (class in geomstats.geometry.positive_lower_triangular_matrices) inverse() (geomstats.geometry.diffeo.ComposedDiffeo method) (geomstats.geometry.diffeo.Diffeo method) (geomstats.geometry.diffeo.InvolutionDiffeomorphism method) (geomstats.geometry.diffeo.ReversedDiffeo method) (geomstats.geometry.discrete_curves.FTransform method) (geomstats.geometry.discrete_curves.SRVTransform method) (geomstats.geometry.full_rank_correlation_matrices.EuclideanCholeskyDiffeo method) (geomstats.geometry.full_rank_correlation_matrices.LogScalingDiffeo method) (geomstats.geometry.full_rank_correlation_matrices.OffLogDiffeo method) (geomstats.geometry.heisenberg.HeisenbergVectors method) (geomstats.geometry.lie_group.LieGroup class method) (geomstats.geometry.lie_group.MatrixLieGroup class method) (geomstats.geometry.matrices.BasisRepresentationDiffeo method) (geomstats.geometry.matrices.FlattenDiffeo method) (geomstats.geometry.positive_lower_triangular_matrices.LowerMatrixLog static method) (geomstats.geometry.positive_lower_triangular_matrices.UnitNormedRowsPLTDiffeo method) (geomstats.geometry.spd_matrices.CholeskyMap static method) (geomstats.geometry.spd_matrices.MatrixPower method) (geomstats.geometry.spd_matrices.SymMatrixLog class method) (geomstats.geometry.symmetric_matrices.ConstantValueRowSumsDiffeo method) (geomstats.information_geometry.normal.UnivariateNormalToPoincareHalfSpaceDiffeo method) (geomstats.test_cases.learning.exponential_barycenter.EuclideanGroup static method) inverse_jacobian() (geomstats.geometry.diffeo.AutodiffDiffeo method) inverse_multiquadric_radial_kernel() (in module geomstats.learning.radial_kernel_functions) inverse_quadratic_radial_kernel() (in module geomstats.learning.radial_kernel_functions) inverse_tangent() (geomstats.geometry.diffeo.AutodiffDiffeo method) (geomstats.geometry.diffeo.ComposedDiffeo method) (geomstats.geometry.diffeo.Diffeo method) (geomstats.geometry.diffeo.InvolutionDiffeomorphism method) (geomstats.geometry.diffeo.ReversedDiffeo method) (geomstats.geometry.diffeo.VectorSpaceDiffeo method) (geomstats.geometry.discrete_curves.SRVTransform method) (geomstats.geometry.full_rank_correlation_matrices.EuclideanCholeskyDiffeo method) (geomstats.geometry.full_rank_correlation_matrices.LogScalingDiffeo method) (geomstats.geometry.full_rank_correlation_matrices.OffLogDiffeo method) (geomstats.geometry.positive_lower_triangular_matrices.LowerMatrixLog class method) (geomstats.geometry.positive_lower_triangular_matrices.UnitNormedRowsPLTDiffeo method) (geomstats.geometry.spd_matrices.CholeskyMap class method) (geomstats.geometry.spd_matrices.MatrixPower method) (geomstats.geometry.spd_matrices.SymMatrixLog class method) (geomstats.geometry.symmetric_matrices.ConstantValueRowSumsDiffeo method) (geomstats.information_geometry.normal.UnivariateNormalToPoincareHalfSpaceDiffeo method) inverse_transform() (geomstats.learning.pca.TangentPCA method) (geomstats.learning.preprocessing.ToTangentSpace method) inverse_transform_point() (geomstats.test.utils.IdentityPointTransformer method) (geomstats.test.utils.PointTransformer method) (geomstats.test.utils.PointTransformerFromDiffeo method) inverse_transform_tangent_vec() (geomstats.test.utils.IdentityPointTransformer method) (geomstats.test.utils.PointTransformer method) (geomstats.test.utils.PointTransformerFromDiffeo method) InvolutionDiffeomorphism (class in geomstats.geometry.diffeo) is_centered() (geomstats.geometry.pre_shape.PreShapeSpace static method) is_compatible() (geomstats.geometry.stratified.trees.Split method) is_diagonal() (geomstats.geometry.matrices.Matrices class method) is_hermitian() (geomstats.geometry.complex_matrices.ComplexMatrices class method) is_horizontal() (geomstats.geometry.fiber_bundle.FiberBundle method) (geomstats.geometry.pre_shape.PreShapeBundle method) is_hpd() (geomstats.geometry.complex_matrices.ComplexMatrices class method) is_lower_triangular() (geomstats.geometry.matrices.Matrices class method) is_pd() (geomstats.geometry.matrices.Matrices class method) is_skew_hermitian() (geomstats.geometry.complex_matrices.ComplexMatrices class method) is_skew_symmetric() (geomstats.geometry.matrices.Matrices class method) is_spd() (geomstats.geometry.matrices.Matrices class method) is_square() (geomstats.geometry.matrices.Matrices static method) is_strictly_lower_triangular() (geomstats.geometry.matrices.Matrices class method) is_strictly_upper_triangular() (geomstats.geometry.matrices.Matrices class method) is_symmetric() (geomstats.geometry.matrices.Matrices class method) is_tangent() (geomstats.geometry.base.ComplexVectorSpace method) (geomstats.geometry.base.ComplexVectorSpaceOpenSet method) (geomstats.geometry.base.DiffeomorphicManifold method) (geomstats.geometry.base.ImmersedSet method) (geomstats.geometry.base.LevelSet method) (geomstats.geometry.base.OpenSet method) (geomstats.geometry.base.VectorSpace method) (geomstats.geometry.base.VectorSpaceOpenSet method) (geomstats.geometry.complex_manifold.ComplexManifold method) (geomstats.geometry.discrete_surfaces.DiscreteSurfaces method) (geomstats.geometry.functions.HilbertSphere method) (geomstats.geometry.klein_bottle.KleinBottle method) (geomstats.geometry.lie_group.LieGroup method) (geomstats.geometry.lie_group.MatrixLieGroup method) (geomstats.geometry.manifold.Manifold method) (geomstats.geometry.nfold_manifold.NFoldManifold method) (geomstats.geometry.positive_lower_triangular_matrices.UnitNormedRowsPLTMatrices method) (geomstats.geometry.product_manifold.ProductManifold method) (geomstats.geometry.rank_k_psd_matrices.RankKPSDMatrices method) (geomstats.geometry.sasaki_metric.TangentBundle method) is_upper_triangular() (geomstats.geometry.matrices.Matrices class method) is_vertical() (geomstats.geometry.fiber_bundle.FiberBundle method) isometry() (geomstats.geometry.siegel.SiegelMetric static method) iterate() (geomstats.geometry.sub_riemannian_metric.SubRiemannianMetric static method) iterated_integrability_tensor_derivative_parallel() (geomstats.geometry.pre_shape.PreShapeBundle method) IterativeHorizontalGeodesicAligner (class in geomstats.geometry.discrete_curves)

J

jacobian() (geomstats.geometry.diffeo.AutodiffDiffeo method) jacobian_christoffels() (geomstats.information_geometry.dirichlet.DirichletMetric method) (geomstats.information_geometry.gamma.GammaMetric method)

jacobian_immersion() (geomstats.geometry.base.ImmersedSet method) jacobian_translation() (geomstats.geometry.heisenberg.HeisenbergVectors method) (geomstats.geometry.lie_group.LieGroup method)

K

k_landmarks (geomstats.geometry.landmarks.Landmarks property) k_sampling_points (geomstats.geometry.discrete_curves.DiscreteCurvesStartingAtOrigin property) KalmanFilter (class in geomstats.learning.kalman_filter) KendallDisk (class in geomstats.visualization.pre_shape) KendallShapeMetric (class in geomstats.geometry.pre_shape) KendallSphere (class in geomstats.visualization.pre_shape)

KendalShapeRandomDataGenerator (class in geomstats.test.random) KernelDensityEstimationClassifier (class in geomstats.learning.kernel_density_estimation_classifier) KleinBottle (class in geomstats.geometry.klein_bottle) KleinBottleMetric (class in geomstats.geometry.klein_bottle) KleinDisk (class in geomstats.visualization.hyperbolic) KNearestNeighborsClassifier (class in geomstats.learning.knn)

L

L2CurvesMetric (class in geomstats.geometry.discrete_curves) L2LandmarksMetric (class in geomstats.geometry.landmarks) L2SurfacesMetric (class in geomstats.geometry.discrete_surfaces) label_map (geomstats.datasets.prepare_emg_data.TimeSeriesCovariance attribute) labels (geomstats.datasets.prepare_emg_data.TimeSeriesCovariance attribute) (geomstats.datasets.prepare_graph_data.Graph attribute) (geomstats.geometry.stratified.bhv_space.TreeTopology property) labels_ (geomstats.learning.agglomerative_hierarchical_clustering.AgglomerativeHierarchicalClustering attribute) (geomstats.learning.online_kmeans.OnlineKMeans attribute) ladder_parallel_transport() (geomstats.geometry.connection.Connection method) Landmarks (class in geomstats.geometry.landmarks) laplacian() (geomstats.geometry.discrete_surfaces.DiscreteSurfaces method) laplacian_radial_kernel() (in module geomstats.learning.radial_kernel_functions) leapfrog_step() (in module geomstats.integrator) length() (geomstats.geometry.discrete_curves.DiscreteCurvesStartingAtOrigin method) lengths (geomstats.geometry.stratified.bhv_space.Tree attribute) (geomstats.geometry.stratified.bhv_space.TreeBatch property) LevelSet (class in geomstats.geometry.base) lie_algebra (geomstats.geometry.lie_group.LieGroup attribute) lie_bracket() (geomstats.geometry.heisenberg.HeisenbergVectors method) (geomstats.geometry.lie_group.LieGroup method) (geomstats.geometry.lie_group.MatrixLieGroup method) LieCholeskyMetric (class in geomstats.geometry.spd_matrices) LieGroup (class in geomstats.geometry.lie_group) LieGroupVectorRandomDataGenerator (class in geomstats.test.random) lift() (geomstats.geometry.fiber_bundle.FiberBundle static method) (geomstats.geometry.rank_k_psd_matrices.BuresWassersteinBundle method) (geomstats.geometry.stratified.wald_space.WaldSpace method) lifting() (geomstats.geometry.stiefel.StiefelCanonicalMetric method) linear_mean() (in module geomstats.learning.frechet_mean) LinearInterpolator1D (class in geomstats.numerics.interpolation) LinearKernel() (in module geomstats.varifold) LinearMean (class in geomstats.learning.frechet_mean) load_cells() (in module geomstats.datasets.utils) load_cities() (in module geomstats.datasets.utils) load_connectomes() (in module geomstats.datasets.utils) load_cube() (in module geomstats.datasets.utils) load_emg() (in module geomstats.datasets.utils) load_football() (in module geomstats.datasets.utils) load_hands() (in module geomstats.datasets.utils) load_karate_graph() (in module geomstats.datasets.utils) load_leaves() (in module geomstats.datasets.utils) load_mammals() (in module geomstats.datasets.utils) load_optical_nerves() (in module geomstats.datasets.utils) load_poses() (in module geomstats.datasets.utils) load_random_graph() (in module geomstats.datasets.utils) load_sao_paulo() (in module geomstats.datasets.utils) Localization (class in geomstats.learning.kalman_filter) LocalizationLinear (class in geomstats.learning.kalman_filter) LocalProjectionSolver (class in geomstats.geometry.stratified.wald_space) log() (geomstats.geometry.complex_poincare_disk.ComplexPoincareDiskMetric method) (geomstats.geometry.connection.Connection method) (geomstats.geometry.euclidean.EuclideanMetric method) (geomstats.geometry.functions.HilbertSphereMetric method) (geomstats.geometry.grassmannian.GrassmannianCanonicalMetric method) (geomstats.geometry.hermitian.HermitianMetric static method) (geomstats.geometry.hpd_matrices.HPDAffineMetric method) (geomstats.geometry.hpd_matrices.HPDBuresWassersteinMetric method) (geomstats.geometry.hyperboloid.HyperboloidMetric method) (geomstats.geometry.hypersphere.HypersphereMetric method) (geomstats.geometry.invariant_metric.BiInvariantMetric method) (geomstats.geometry.invariant_metric.InvariantMetricMatrixLogODESolver method) (geomstats.geometry.klein_bottle.KleinBottleMetric method) (geomstats.geometry.lie_group.LieGroup method) (geomstats.geometry.lie_group.MatrixLieGroup class method) (geomstats.geometry.nfold_manifold.NFoldMetric method) (geomstats.geometry.poincare_ball.PoincareBallMetric method) (geomstats.geometry.positive_lower_triangular_matrices.CholeskyMetric method) (geomstats.geometry.positive_reals.PositiveRealsMetric static method) (geomstats.geometry.product_manifold.ProductRiemannianMetric method) (geomstats.geometry.pullback_metric.PullbackDiffeoMetric method) (geomstats.geometry.quotient_metric.QuotientMetric method) (geomstats.geometry.sasaki_metric.SasakiMetric method) (geomstats.geometry.siegel.SiegelMetric method) (geomstats.geometry.spd_matrices.SPDAffineMetric method) (geomstats.geometry.spd_matrices.SPDBuresWassersteinMetric method) (geomstats.geometry.special_euclidean.SpecialEuclideanMatricesCanonicalLeftMetric method) (geomstats.information_geometry.binomial.BinomialMetric method) (geomstats.information_geometry.exponential.ExponentialMetric method) (geomstats.information_geometry.geometric.GeometricMetric method) (geomstats.information_geometry.multinomial.MultinomialMetric method) (geomstats.information_geometry.normal.DiagonalNormalMetric method) (geomstats.information_geometry.poisson.PoissonMetric method) (geomstats.numerics.geodesic.LogSolver method) (geomstats.numerics.geodesic.PathBasedLogSolver method) (geomstats.test_cases.learning.exponential_barycenter.EuclideanGroup method)

log_at_zero() (geomstats.geometry.siegel.SiegelMetric static method) log_from_identity() (geomstats.geometry.heisenberg.HeisenbergVectors method) (geomstats.geometry.lie_group.LieGroup method) log_not_from_identity() (geomstats.geometry.lie_group.LieGroup method) log_sigmoid() (geomstats.datasets.prepare_graph_data.HyperbolicEmbedding static method) LogEuclideanCholeskyDiffeo (class in geomstats.geometry.full_rank_correlation_matrices) LogEuclideanCholeskyMetric (class in geomstats.geometry.full_rank_correlation_matrices) logistic_radial_kernel() (in module geomstats.learning.radial_kernel_functions) logmh() (in module geomstats.geometry.spd_matrices) LogNormal (class in geomstats.distributions.lognormal) LogNormalEuclidean (class in geomstats.distributions.lognormal) LogNormalSPD (class in geomstats.distributions.lognormal) LogODESolver (class in geomstats.numerics.geodesic) LogScaledMetric (class in geomstats.geometry.full_rank_correlation_matrices) LogScalingDiffeo (class in geomstats.geometry.full_rank_correlation_matrices) LogShootingSolver (class in geomstats.numerics.geodesic) LogSolver (class in geomstats.numerics.geodesic) loss() (geomstats.datasets.prepare_graph_data.HyperbolicEmbedding method) (geomstats.varifold.VarifoldMetric method) LowerMatrixLog (class in geomstats.geometry.positive_lower_triangular_matrices) LowerTriangularMatrices (class in geomstats.geometry.lower_triangular_matrices)

M

make_splits() (in module geomstats.geometry.stratified.wald_space) make_topologies() (in module geomstats.geometry.stratified.wald_space) Manifold (class in geomstats.geometry.manifold) MAP_ALIGNER (geomstats.geometry.stratified.graph_space.GraphSpaceAligner attribute) MAP_ESTIMATE (geomstats.learning.aac.AAC attribute) margin (geomstats.datasets.prepare_emg_data.TimeSeriesCovariance attribute) Matrices (class in geomstats.geometry.matrices) MatricesDiagMetric (class in geomstats.geometry.matrices) MatricesMetric (class in geomstats.geometry.matrices) matrix_matrix_transpose() (in module geomstats.geometry.matrices) matrix_representation() (geomstats.geometry.base.DiffeomorphicMatrixVectorSpace method) (geomstats.geometry.base.MatrixVectorSpace method) (geomstats.geometry.general_linear.SquareMatrices method) (geomstats.geometry.symmetric_matrices.SymmetricMatrices static method) MatrixLieAlgebra (class in geomstats.geometry.lie_algebra) MatrixLieGroup (class in geomstats.geometry.lie_group) MatrixPower (class in geomstats.geometry.spd_matrices) MatrixVectorSpace (class in geomstats.geometry.base) MatrixVectorSpaceRandomDataGenerator (class in geomstats.test.random) maximum_likelihood_fit() (geomstats.information_geometry.beta.BetaDistributions static method) (geomstats.information_geometry.gamma.GammaDistributions static method) mean_ (geomstats.learning.pca.HyperbolicPlaneExactPGA attribute) mean_curvature_vector() (geomstats.geometry.pullback_metric.PullbackMetric method) mean_estimates_ (geomstats.learning.mdm.RiemannianMinimumDistanceToMean attribute) means_ (geomstats.learning.expectation_maximization.RiemannianEM attribute) (geomstats.learning.expectation_maximization.RiemannianEM property) method (geomstats.learning.frechet_mean.FrechetMean property) (geomstats.learning.geodesic_regression.GeodesicRegression property) metric_det() (geomstats.information_geometry.beta.BetaMetric static method) metric_matrix() (geomstats.geometry.complex_poincare_disk.ComplexPoincareDiskMetric method) (geomstats.geometry.euclidean.EuclideanMetric method) (geomstats.geometry.hermitian.HermitianMetric method) (geomstats.geometry.hyperboloid.HyperboloidMetric method) (geomstats.geometry.hypersphere.HypersphereMetric method) (geomstats.geometry.nfold_manifold.NFoldMetric method) (geomstats.geometry.poincare_ball.PoincareBallMetric method) (geomstats.geometry.positive_reals.PositiveRealsMetric method) (geomstats.geometry.product_manifold.ProductRiemannianMetric method) (geomstats.geometry.pullback_metric.PullbackDiffeoMetric method) (geomstats.geometry.pullback_metric.PullbackMetric method) (geomstats.geometry.riemannian_metric.RiemannianMetric method) (geomstats.information_geometry.binomial.BinomialMetric method) (geomstats.information_geometry.dirichlet.DirichletMetric method) (geomstats.information_geometry.exponential.ExponentialMetric method) (geomstats.information_geometry.fisher_rao_metric.FisherRaoMetric method) (geomstats.information_geometry.gamma.GammaMetric method) (geomstats.information_geometry.geometric.GeometricMetric method) (geomstats.information_geometry.multinomial.MultinomialMetric method) (geomstats.information_geometry.normal.UnivariateNormalMetric static method) (geomstats.information_geometry.poisson.PoissonMetric method) minimize() (geomstats.geometry.sasaki_metric.GradientDescent method) (geomstats.learning.exponential_barycenter.GradientDescent method) (geomstats.learning.frechet_mean.AdaptiveGradientDescent method) (geomstats.learning.frechet_mean.BaseGradientDescent method) (geomstats.learning.frechet_mean.BatchGradientDescent method) (geomstats.learning.frechet_mean.GradientDescent method) (geomstats.learning.geodesic_regression.RiemannianGradientDescent method) (geomstats.numerics.optimization.ScipyMinimize method) Minkowski (class in geomstats.geometry.minkowski) MinkowskiMetric (class in geomstats.geometry.minkowski) mixture_coefficients_ (geomstats.learning.expectation_maximization.RiemannianEM attribute) mobius_add() (geomstats.geometry.poincare_ball.PoincareBallMetric method) module geomstats geomstats.algebra_utils geomstats.datasets geomstats.datasets.prepare_emg_data geomstats.datasets.prepare_graph_data geomstats.datasets.utils geomstats.distributions geomstats.distributions.brownian_motion geomstats.distributions.lognormal geomstats.errors geomstats.exceptions geomstats.geometry geomstats.geometry.base geomstats.geometry.complex_manifold geomstats.geometry.complex_matrices geomstats.geometry.complex_poincare_disk geomstats.geometry.complex_riemannian_metric geomstats.geometry.connection geomstats.geometry.diffeo geomstats.geometry.discrete_curves geomstats.geometry.discrete_surfaces geomstats.geometry.euclidean geomstats.geometry.fiber_bundle geomstats.geometry.full_rank_correlation_matrices geomstats.geometry.full_rank_matrices geomstats.geometry.functions geomstats.geometry.general_linear geomstats.geometry.grassmannian geomstats.geometry.group_action geomstats.geometry.heisenberg geomstats.geometry.hermitian geomstats.geometry.hermitian_matrices geomstats.geometry.hpd_matrices geomstats.geometry.hyperbolic geomstats.geometry.hyperboloid geomstats.geometry.hypersphere geomstats.geometry.invariant_metric geomstats.geometry.klein_bottle geomstats.geometry.landmarks geomstats.geometry.lie_algebra geomstats.geometry.lie_group geomstats.geometry.lower_triangular_matrices geomstats.geometry.manifold geomstats.geometry.matrices geomstats.geometry.minkowski geomstats.geometry.nfold_manifold geomstats.geometry.open_hemisphere geomstats.geometry.poincare_ball geomstats.geometry.poincare_half_space geomstats.geometry.poincare_polydisk geomstats.geometry.positive_lower_triangular_matrices geomstats.geometry.positive_reals geomstats.geometry.pre_shape geomstats.geometry.product_hpd_and_siegel_disks geomstats.geometry.product_manifold geomstats.geometry.product_positive_reals_and_poincare_disks geomstats.geometry.pullback_metric geomstats.geometry.quotient_metric geomstats.geometry.rank_k_psd_matrices geomstats.geometry.riemannian_metric geomstats.geometry.sasaki_metric geomstats.geometry.scalar_product_metric geomstats.geometry.siegel geomstats.geometry.skew_symmetric_matrices geomstats.geometry.spd_matrices geomstats.geometry.special_euclidean geomstats.geometry.special_orthogonal geomstats.geometry.stiefel geomstats.geometry.stratified geomstats.geometry.stratified.bhv_space geomstats.geometry.stratified.graph_space geomstats.geometry.stratified.point_set geomstats.geometry.stratified.quotient geomstats.geometry.stratified.spider geomstats.geometry.stratified.trees geomstats.geometry.stratified.vectorization geomstats.geometry.stratified.wald_space geomstats.geometry.sub_riemannian_metric geomstats.geometry.symmetric_matrices geomstats.information_geometry geomstats.information_geometry.base geomstats.information_geometry.beta geomstats.information_geometry.binomial geomstats.information_geometry.categorical geomstats.information_geometry.dirichlet geomstats.information_geometry.exponential geomstats.information_geometry.fisher_rao_metric geomstats.information_geometry.gamma geomstats.information_geometry.geometric geomstats.information_geometry.multinomial geomstats.information_geometry.normal geomstats.information_geometry.poisson geomstats.integrator geomstats.learning geomstats.learning.aac geomstats.learning.agglomerative_hierarchical_clustering geomstats.learning.expectation_maximization geomstats.learning.exponential_barycenter geomstats.learning.frechet_mean geomstats.learning.geodesic_regression geomstats.learning.geometric_median geomstats.learning.incremental_frechet_mean geomstats.learning.kalman_filter geomstats.learning.kernel_density_estimation_classifier geomstats.learning.kmeans geomstats.learning.kmedoids geomstats.learning.knn geomstats.learning.mdm geomstats.learning.online_kmeans geomstats.learning.pca geomstats.learning.preprocessing geomstats.learning.radial_kernel_functions geomstats.learning.riemannian_mean_shift geomstats.learning.wrapped_gaussian_process geomstats.numerics geomstats.numerics.bvp geomstats.numerics.finite_differences geomstats.numerics.geodesic geomstats.numerics.interpolation geomstats.numerics.ivp geomstats.numerics.optimization geomstats.numerics.path geomstats.test geomstats.test.data geomstats.test.random geomstats.test.utils geomstats.test.vectorization geomstats.test_cases geomstats.test_cases.datasets geomstats.test_cases.distributions geomstats.test_cases.geometry geomstats.test_cases.geometry.stratified geomstats.test_cases.information_geometry geomstats.test_cases.learning geomstats.test_cases.learning.exponential_barycenter geomstats.test_cases.numerics geomstats.varifold geomstats.vectorization geomstats.visualization geomstats.visualization.hyperbolic geomstats.visualization.hypersphere geomstats.visualization.poincare_polydisk geomstats.visualization.pre_shape geomstats.visualization.spd_matrices geomstats.visualization.special_euclidean geomstats.visualization.special_orthogonal

mul() (geomstats.geometry.matrices.Matrices static method) MultinomialDistributions (class in geomstats.information_geometry.multinomial) MultinomialMetric (class in geomstats.information_geometry.multinomial) MultinomialRandomVariable (class in geomstats.information_geometry.multinomial) MultiresPathStraightening (class in geomstats.numerics.geodesic) MultivariateNormalDistributionsRandomVariable (class in geomstats.information_geometry.normal)

N

n_classes_ (geomstats.learning.mdm.RiemannianMinimumDistanceToMean property) n_clusters_ (geomstats.learning.agglomerative_hierarchical_clustering.AgglomerativeHierarchicalClustering attribute) n_connected_components_ (geomstats.learning.agglomerative_hierarchical_clustering.AgglomerativeHierarchicalClustering attribute) n_features_ (geomstats.learning.TemplateTransformer attribute) n_labels (geomstats.geometry.stratified.bhv_space.TreeTopology attribute) (geomstats.geometry.stratified.trees.ForestTopology attribute) n_leaves_ (geomstats.learning.agglomerative_hierarchical_clustering.AgglomerativeHierarchicalClustering attribute) n_nodes (geomstats.datasets.prepare_graph_data.Graph attribute) N_RANDOM_POINTS (geomstats.test.data.TestData attribute) N_SHAPE_POINTS (geomstats.test.data.TestData attribute) n_splits (geomstats.geometry.stratified.trees.ForestTopology attribute) n_steps (geomstats.datasets.prepare_emg_data.TimeSeriesCovariance attribute) N_TIME_POINTS (geomstats.test.data.TestData attribute) n_timeseries (geomstats.datasets.prepare_emg_data.TimeSeriesCovariance attribute) N_VEC_REPS (geomstats.test.data.TestData attribute) na (geomstats.visualization.pre_shape.KendallDisk attribute) (geomstats.visualization.pre_shape.KendallSphere attribute) NaiveProjectionGeodesicSolver (class in geomstats.geometry.stratified.wald_space) NaturalToStandardDiffeo (class in geomstats.information_geometry.gamma) new() (geomstats.geometry.discrete_curves.DiscreteCurvesStartingAtOrigin method) (geomstats.geometry.discrete_surfaces.DiscreteSurfaces method) (geomstats.geometry.pre_shape.PreShapeSpace method) (geomstats.geometry.stratified.graph_space.GraphSpace method) NewtonMethod (class in geomstats.numerics.optimization)

NFoldManifold (class in geomstats.geometry.nfold_manifold) NFoldManifoldRandomDataGenerator (class in geomstats.test.random) NFoldMetric (class in geomstats.geometry.nfold_manifold) noise_jacobian() (geomstats.learning.kalman_filter.Localization method) (geomstats.learning.kalman_filter.LocalizationLinear method) norm() (geomstats.geometry.complex_matrices.ComplexMatricesMetric method) (geomstats.geometry.euclidean.CanonicalEuclideanMetric method) (geomstats.geometry.grassmannian.GrassmannianCanonicalMetric method) (geomstats.geometry.hermitian.HermitianMetric static method) (geomstats.geometry.matrices.MatricesMetric method) (geomstats.geometry.pullback_metric.PullbackDiffeoMetric method) (geomstats.geometry.riemannian_metric.RiemannianMetric method) norm_factor_gradient() (geomstats.geometry.hypersphere.HypersphereMetric method) (geomstats.geometry.poincare_ball.PoincareBallMetric method) normal_basis() (geomstats.geometry.riemannian_metric.RiemannianMetric method) NormalDistributions (class in geomstats.information_geometry.normal) normalization_factor() (geomstats.geometry.hypersphere.HypersphereMetric method) (geomstats.geometry.poincare_ball.PoincareBallMetric method) normalization_factor_var (geomstats.learning.expectation_maximization.GaussianMixtureModel attribute) normalize() (geomstats.geometry.discrete_curves.DiscreteCurvesStartingAtOrigin method) (geomstats.geometry.riemannian_metric.RiemannianMetric method) normals() (geomstats.geometry.discrete_surfaces.DiscreteSurfaces method) NotPartialOrder NullRowSumsPermutationInvariantMetric (class in geomstats.geometry.symmetric_matrices) NullRowSumsSymmetricMatrices (class in geomstats.geometry.symmetric_matrices)

O

observation_jacobian() (geomstats.learning.kalman_filter.Localization method) (geomstats.learning.kalman_filter.LocalizationLinear method) observation_model() (geomstats.learning.kalman_filter.Localization method) (geomstats.learning.kalman_filter.LocalizationLinear static method) ODEIVPIntegrator (class in geomstats.numerics.ivp) OdeResult (class in geomstats.numerics.ivp) off_map() (in module geomstats.geometry.full_rank_correlation_matrices) OffLogDiffeo (class in geomstats.geometry.full_rank_correlation_matrices) OffLogMetric (class in geomstats.geometry.full_rank_correlation_matrices)

OnlineKMeans (class in geomstats.learning.online_kmeans) OpenHemisphere (class in geomstats.geometry.open_hemisphere) OpenHemispherePullbackMetric (class in geomstats.geometry.open_hemisphere) OpenHemispheresProduct (class in geomstats.geometry.open_hemisphere) OpenHemispheresProductMetric (class in geomstats.geometry.open_hemisphere) OpenHemisphereToHyperboloidDiffeo (class in geomstats.geometry.open_hemisphere) OpenSet (class in geomstats.geometry.base) orbit() (geomstats.geometry.general_linear.GeneralLinear class method) outputs_2d_ (geomstats.learning.kernel_density_estimation_classifier.KernelDensityEstimationClassifier attribute) (geomstats.learning.knn.KNearestNeighborsClassifier attribute)

P

parabolic_radial_kernel() (in module geomstats.learning.radial_kernel_functions) parallel_transport() (geomstats.geometry.connection.Connection method) (geomstats.geometry.euclidean.EuclideanMetric method) (geomstats.geometry.grassmannian.GrassmannianCanonicalMetric method) (geomstats.geometry.hpd_matrices.HPDAffineMetric method) (geomstats.geometry.hpd_matrices.HPDBuresWassersteinMetric method) (geomstats.geometry.hyperboloid.HyperboloidMetric method) (geomstats.geometry.hypersphere.HypersphereMetric method) (geomstats.geometry.invariant_metric.BiInvariantMetric method) (geomstats.geometry.pre_shape.KendallShapeMetric method) (geomstats.geometry.pullback_metric.PullbackDiffeoMetric method) (geomstats.geometry.spd_matrices.SPDAffineMetric method) (geomstats.geometry.spd_matrices.SPDBuresWassersteinMetric method) (geomstats.geometry.special_euclidean.SpecialEuclideanMatricesCanonicalLeftMetric method) part_contains() (geomstats.geometry.stratified.trees.Split method) path_n_nodes() (geomstats.numerics.geodesic.PathBasedLogSolver method) PathBasedLogSolver (class in geomstats.numerics.geodesic) paths (geomstats.geometry.stratified.bhv_space.TreeTopology attribute) (geomstats.geometry.stratified.trees.ForestTopology attribute) PathStraightening (class in geomstats.numerics.geodesic) pdf() (geomstats.information_geometry.base.ScipyMultivariateRandomVariable method) (geomstats.information_geometry.base.ScipyUnivariateRandomVariable method) (geomstats.information_geometry.binomial.BinomialDistributionsRandomVariable method) (geomstats.information_geometry.geometric.GeometricDistributionsRandomVariable method) (geomstats.information_geometry.poisson.PoissonDistributionsRandomVariable method) (geomstats.learning.expectation_maximization.GaussianMixtureModel method) perm_ (geomstats.geometry.stratified.graph_space.GraphSpaceAligner property) (geomstats.geometry.stratified.graph_space.GraphSpaceAlignerAlgorithm attribute) (geomstats.geometry.stratified.graph_space.PointToGeodesicAlignerBase attribute) permutation_matrix_from_vector() (in module geomstats.geometry.group_action) PermutationAction (class in geomstats.geometry.group_action) phi_inv_var (geomstats.learning.expectation_maximization.GaussianMixtureModel attribute) plot() (geomstats.visualization.hyperbolic.KleinDisk method) (geomstats.visualization.hyperbolic.PoincareDisk method) (geomstats.visualization.hyperbolic.PoincareHalfPlane method) (geomstats.visualization.hypersphere.Circle method) (geomstats.visualization.hypersphere.Sphere method) (geomstats.visualization.special_orthogonal.Trihedron method) (in module geomstats.visualization) (in module geomstats.visualization.special_orthogonal) plot_heatmap() (geomstats.visualization.hypersphere.Sphere method) PLTUnitDiagMatrices (class in geomstats.geometry.positive_lower_triangular_matrices) PoincareBall (class in geomstats.geometry.poincare_ball) PoincareBallMetric (class in geomstats.geometry.poincare_ball) PoincareDisk (class in geomstats.visualization.hyperbolic) PoincareHalfPlane (class in geomstats.visualization.hyperbolic) PoincareHalfSpace (class in geomstats.geometry.poincare_half_space) PoincareHalfSpaceMetric (class in geomstats.geometry.poincare_half_space) PoincarePolydisk (class in geomstats.geometry.poincare_polydisk) PoincarePolyDisk (class in geomstats.visualization.poincare_polydisk) PoincarePolydiskMetric (class in geomstats.geometry.poincare_polydisk) Point (class in geomstats.geometry.stratified.point_set) point_ndim (geomstats.geometry.manifold.Manifold attribute) (geomstats.geometry.product_manifold.ProductRiemannianMetric property) point_to_cdf() (geomstats.information_geometry.base.InformationManifoldMixin method) point_to_pdf() (geomstats.information_geometry.base.InformationManifoldMixin method) (geomstats.information_geometry.beta.BetaDistributions method) (geomstats.information_geometry.binomial.BinomialDistributions method) (geomstats.information_geometry.dirichlet.DirichletDistributions method) (geomstats.information_geometry.exponential.ExponentialDistributions method) (geomstats.information_geometry.gamma.GammaDistributions method) (geomstats.information_geometry.geometric.GeometricDistributions method) (geomstats.information_geometry.multinomial.MultinomialDistributions method) (geomstats.information_geometry.normal.CenteredNormalDistributions method) (geomstats.information_geometry.normal.DiagonalNormalDistributions method) (geomstats.information_geometry.normal.GeneralNormalDistributions method) (geomstats.information_geometry.normal.UnivariateNormalDistributions method) (geomstats.information_geometry.poisson.PoissonDistributions method) point_to_project() (geomstats.test.random.EmbeddedSpaceRandomDataGenerator method) (geomstats.test.random.LieGroupVectorRandomDataGenerator method) (geomstats.test.random.NFoldManifoldRandomDataGenerator method) (geomstats.test.random.RankKPSDMatricesRandomDataGenerator method) (geomstats.test.random.VectorSpaceRandomDataGenerator method) PointBatch (class in geomstats.geometry.stratified.point_set) points (geomstats.visualization.pre_shape.KendallDisk attribute) (geomstats.visualization.pre_shape.KendallSphere attribute) PointSet (class in geomstats.geometry.stratified.point_set) PointSetMetric (class in geomstats.geometry.stratified.point_set) PointToGeodesicAligner (class in geomstats.geometry.stratified.graph_space) PointToGeodesicAlignerBase (class in geomstats.geometry.stratified.graph_space) PointTransformer (class in geomstats.test.utils) PointTransformerFromDiffeo (class in geomstats.test.utils) pointwise_inner_product() (geomstats.geometry.nfold_manifold.NFoldMetric method) pointwise_norm() (geomstats.geometry.nfold_manifold.NFoldMetric method)

PoissonDistributions (class in geomstats.information_geometry.poisson) PoissonDistributionsRandomVariable (class in geomstats.information_geometry.poisson) PoissonMetric (class in geomstats.information_geometry.poisson) pole (geomstats.visualization.pre_shape.KendallDisk attribute) (geomstats.visualization.pre_shape.KendallSphere attribute) PolyHyperbolicCholeskyMetric (class in geomstats.geometry.full_rank_correlation_matrices) PositiveLowerTriangularMatrices (class in geomstats.geometry.positive_lower_triangular_matrices) PositiveReals (class in geomstats.geometry.positive_reals) PositiveRealsMetric (class in geomstats.geometry.positive_reals) powermh() (in module geomstats.geometry.hermitian_matrices) predict() (geomstats.learning.geodesic_regression.GeodesicRegression method) (geomstats.learning.kmeans.RiemannianKMeans method) (geomstats.learning.kmedoids.RiemannianKMedoids method) (geomstats.learning.mdm.RiemannianMinimumDistanceToMean method) (geomstats.learning.online_kmeans.OnlineKMeans method) (geomstats.learning.riemannian_mean_shift.RiemannianMeanShift method) (geomstats.learning.TemplateClassifier method) (geomstats.learning.TemplateEstimator method) (geomstats.learning.wrapped_gaussian_process.WrappedGaussianProcess method) predict_proba() (geomstats.learning.mdm.RiemannianMinimumDistanceToMean method) preprocess_input() (geomstats.learning.kalman_filter.Localization method) PreShapeBundle (class in geomstats.geometry.pre_shape) PreShapeMetric (class in geomstats.geometry.pre_shape) PreShapeSpace (class in geomstats.geometry.pre_shape) ProductHPDMatricesAndSiegelDisks (class in geomstats.geometry.product_hpd_and_siegel_disks) ProductHPDMatricesAndSiegelDisksMetric (class in geomstats.geometry.product_hpd_and_siegel_disks) ProductManifold (class in geomstats.geometry.product_manifold) ProductPositiveRealsAndComplexPoincareDisks (class in geomstats.geometry.product_positive_reals_and_poincare_disks) ProductPositiveRealsAndComplexPoincareDisksMetric (class in geomstats.geometry.product_positive_reals_and_poincare_disks) ProductRiemannianMetric (class in geomstats.geometry.product_manifold) project_on_geodesic() (geomstats.geometry.hyperboloid.Hyperboloid method) projection() (geomstats.geometry.base.DiffeomorphicVectorSpace method) (geomstats.geometry.base.ImmersedSet method) (geomstats.geometry.complex_manifold.ComplexManifold method) (geomstats.geometry.complex_poincare_disk.ComplexPoincareDisk static method) (geomstats.geometry.discrete_curves.DiscreteCurvesStartingAtOrigin method) (geomstats.geometry.discrete_surfaces.DiscreteSurfaces method) (geomstats.geometry.full_rank_correlation_matrices.FullRankCorrelationMatrices method) (geomstats.geometry.full_rank_matrices.FullRankMatrices method) (geomstats.geometry.functions.HilbertSphere method) (geomstats.geometry.general_linear.GeneralLinear method) (geomstats.geometry.grassmannian.Grassmannian method) (geomstats.geometry.hermitian_matrices.HermitianMatrices static method) (geomstats.geometry.hpd_matrices.HPDMatrices method) (geomstats.geometry.hyperboloid.Hyperboloid method) (geomstats.geometry.lower_triangular_matrices.LowerTriangularMatrices method) (geomstats.geometry.lower_triangular_matrices.StrictlyLowerTriangularMatrices method) (geomstats.geometry.manifold.Manifold method) (geomstats.geometry.nfold_manifold.NFoldManifold method) (geomstats.geometry.open_hemisphere.OpenHemisphere method) (geomstats.geometry.poincare_ball.PoincareBall method) (geomstats.geometry.poincare_half_space.PoincareHalfSpace method) (geomstats.geometry.positive_lower_triangular_matrices.PLTUnitDiagMatrices method) (geomstats.geometry.positive_lower_triangular_matrices.PositiveLowerTriangularMatrices method) (geomstats.geometry.positive_reals.PositiveReals static method) (geomstats.geometry.pre_shape.PreShapeSpace method) (geomstats.geometry.product_manifold.ProductManifold method) (geomstats.geometry.rank_k_psd_matrices.RankKPSDMatrices method) (geomstats.geometry.sasaki_metric.TangentBundle static method) (geomstats.geometry.siegel.Siegel method) (geomstats.geometry.skew_symmetric_matrices.SkewSymmetricMatrices class method) (geomstats.geometry.spd_matrices.SPDMatrices method) (geomstats.geometry.special_euclidean.SpecialEuclideanMatricesLieAlgebra method) (geomstats.geometry.stiefel.Stiefel method) (geomstats.geometry.stratified.wald_space.LocalProjectionSolver method) (geomstats.geometry.stratified.wald_space.WaldSpaceMetric method) (geomstats.geometry.symmetric_matrices.SymmetricHollowMatrices method) (geomstats.geometry.symmetric_matrices.SymmetricMatrices method) (geomstats.information_geometry.binomial.BinomialDistributions method) (geomstats.information_geometry.dirichlet.DirichletDistributions method) (geomstats.information_geometry.exponential.ExponentialDistributions method) (geomstats.information_geometry.gamma.GammaDistributions method) (geomstats.information_geometry.geometric.GeometricDistributions method) (geomstats.information_geometry.multinomial.MultinomialDistributions method) (geomstats.information_geometry.normal.DiagonalNormalDistributions method) (geomstats.information_geometry.poisson.PoissonDistributions method) propagate() (geomstats.learning.kalman_filter.KalmanFilter method) (geomstats.learning.kalman_filter.Localization method) (geomstats.learning.kalman_filter.LocalizationLinear static method) propagation_jacobian() (geomstats.learning.kalman_filter.Localization method) (geomstats.learning.kalman_filter.LocalizationLinear method) PSDBuresWassersteinMetric (class in geomstats.geometry.rank_k_psd_matrices) PSDMatrices (class in geomstats.geometry.rank_k_psd_matrices) PullbackDiffeoMetric (class in geomstats.geometry.pullback_metric) PullbackMetric (class in geomstats.geometry.pullback_metric)

Q

QuotientMetric (class in geomstats.geometry.quotient_metric) (class in geomstats.geometry.stratified.quotient)

R

random_basis_representation() (geomstats.test.random.MatrixVectorSpaceRandomDataGenerator method) random_grove_point() (geomstats.geometry.stratified.wald_space.WaldSpace method) random_horizontal_vec() (geomstats.test.random.KendalShapeRandomDataGenerator method) random_point() (geomstats.geometry.base.ComplexVectorSpace method) (geomstats.geometry.base.ComplexVectorSpaceOpenSet method) (geomstats.geometry.base.DiffeomorphicManifold method) (geomstats.geometry.base.ImmersedSet method) (geomstats.geometry.base.MatrixVectorSpace method) (geomstats.geometry.base.OpenSet method) (geomstats.geometry.base.VectorSpace method) (geomstats.geometry.complex_manifold.ComplexManifold method) (geomstats.geometry.complex_matrices.ComplexMatrices method) (geomstats.geometry.complex_poincare_disk.ComplexPoincareDisk static method) (geomstats.geometry.discrete_curves.DiscreteCurvesStartingAtOrigin method) (geomstats.geometry.discrete_surfaces.DiscreteSurfaces method) (geomstats.geometry.full_rank_correlation_matrices.FullRankCorrelationMatrices method) (geomstats.geometry.full_rank_matrices.FullRankMatrices method) (geomstats.geometry.functions.HilbertSphere method) (geomstats.geometry.general_linear.GeneralLinear method) (geomstats.geometry.grassmannian.Grassmannian method) (geomstats.geometry.hermitian_matrices.HermitianMatrices method) (geomstats.geometry.hpd_matrices.HPDMatrices method) (geomstats.geometry.klein_bottle.KleinBottle method) (geomstats.geometry.manifold.Manifold method) (geomstats.geometry.matrices.Matrices method) (geomstats.geometry.nfold_manifold.NFoldManifold method) (geomstats.geometry.positive_lower_triangular_matrices.PLTUnitDiagMatrices method) (geomstats.geometry.positive_lower_triangular_matrices.PositiveLowerTriangularMatrices method) (geomstats.geometry.positive_reals.PositiveReals static method) (geomstats.geometry.pre_shape.PreShapeSpace method) (geomstats.geometry.product_manifold.ProductManifold method) (geomstats.geometry.rank_k_psd_matrices.RankKPSDMatrices method) (geomstats.geometry.sasaki_metric.TangentBundle method) (geomstats.geometry.siegel.Siegel method) (geomstats.geometry.skew_symmetric_matrices.SkewSymmetricMatrices method) (geomstats.geometry.spd_matrices.SPDMatrices method) (geomstats.geometry.special_euclidean.SpecialEuclideanMatricesLieAlgebra method) (geomstats.geometry.stiefel.Stiefel method) (geomstats.geometry.stratified.bhv_space.TreeSpace method) (geomstats.geometry.stratified.point_set.PointSet method) (geomstats.geometry.stratified.spider.Spider method) (geomstats.geometry.stratified.wald_space.WaldSpace method) (geomstats.information_geometry.binomial.BinomialDistributions method) (geomstats.information_geometry.dirichlet.DirichletDistributions method) (geomstats.information_geometry.exponential.ExponentialDistributions method) (geomstats.information_geometry.gamma.GammaDistributions method) (geomstats.information_geometry.geometric.GeometricDistributions method) (geomstats.information_geometry.multinomial.MultinomialDistributions method) (geomstats.information_geometry.normal.DiagonalNormalDistributions method) (geomstats.information_geometry.normal.UnivariateNormalDistributions static method) (geomstats.information_geometry.poisson.PoissonDistributions method) (geomstats.test.random.RandomDataGenerator method) random_point_standard() (geomstats.test.random.GammaRandomDataGenerator method) random_tangent_vec() (geomstats.geometry.base.DiffeomorphicManifold method) (geomstats.geometry.base.VectorSpace method) (geomstats.geometry.complex_manifold.ComplexManifold method) (geomstats.geometry.hpd_matrices.HPDMatrices method) (geomstats.geometry.manifold.Manifold method) (geomstats.geometry.product_manifold.ProductManifold method) (geomstats.geometry.sasaki_metric.TangentBundle method) (geomstats.geometry.siegel.Siegel method) (geomstats.geometry.spd_matrices.SPDMatrices method) (geomstats.test.random.HypersphereIntrinsicRandomDataGenerator method) (geomstats.test.random.RandomDataGenerator method) (geomstats.test.random.ShapeBundleRandomDataGenerator method)

random_tangent_vec_standard() (geomstats.test.random.GammaRandomDataGenerator method) random_uniform() (geomstats.geometry.grassmannian.Grassmannian method) (geomstats.geometry.pre_shape.PreShapeSpace method) (geomstats.geometry.stiefel.Stiefel method) random_unit_tangent_vec() (geomstats.geometry.complex_riemannian_metric.ComplexRiemannianMetric method) (geomstats.geometry.riemannian_metric.RiemannianMetric method) random_upper_triangular_matrix() (geomstats.test.random.HeisenbergVectorsRandomDataGenerator method) random_walk() (geomstats.datasets.prepare_graph_data.Graph method) RandomDataGenerator (class in geomstats.test.random) RankKPSDMatrices (class in geomstats.geometry.rank_k_psd_matrices) RankKPSDMatricesRandomDataGenerator (class in geomstats.test.random) register_quotient() (in module geomstats.geometry.manifold) register_scaled_method() (in module geomstats.geometry.scalar_product_metric) regularize() (geomstats.geometry.base.DiffeomorphicManifold method) (geomstats.geometry.complex_manifold.ComplexManifold method) (geomstats.geometry.hyperboloid.Hyperboloid method) (geomstats.geometry.klein_bottle.KleinBottle method) (geomstats.geometry.manifold.Manifold method) (geomstats.geometry.product_manifold.ProductManifold method) regularize_angle() (geomstats.learning.kalman_filter.Localization method) RelaxedPathStraightening (class in geomstats.geometry.discrete_surfaces) ReparametrizationBundle (class in geomstats.geometry.discrete_curves) (class in geomstats.geometry.discrete_surfaces) repeat_out() (in module geomstats.vectorization) repeat_out_multiple_ndim() (in module geomstats.vectorization) repeat_point() (in module geomstats.vectorization) reshape() (geomstats.geometry.matrices.Matrices method) restrict_to() (geomstats.geometry.stratified.trees.Split method) RestrictedGaussianKernel() (in module geomstats.varifold) retraction() (geomstats.geometry.poincare_ball.PoincareBallMetric method) (geomstats.geometry.stiefel.StiefelCanonicalMetric static method) ReversedDiffeo (class in geomstats.geometry.diffeo) ricci_tensor() (geomstats.geometry.connection.Connection method) riemann_sum() (geomstats.geometry.discrete_curves.L2CurvesMetric static method) riemann_tensor() (geomstats.geometry.connection.Connection method) riemannian_submersion() (geomstats.geometry.fiber_bundle.FiberBundle static method) (geomstats.geometry.full_rank_correlation_matrices.CorrelationMatricesBundle static method) (geomstats.geometry.rank_k_psd_matrices.BuresWassersteinBundle static method) RiemannianEM (class in geomstats.learning.expectation_maximization) RiemannianGradientDescent (class in geomstats.learning.geodesic_regression) RiemannianKMeans (class in geomstats.learning.kmeans) RiemannianKMedoids (class in geomstats.learning.kmedoids) RiemannianMeanShift (class in geomstats.learning.riemannian_mean_shift) RiemannianMetric (class in geomstats.geometry.riemannian_metric) RiemannianMinimumDistanceToMean (class in geomstats.learning.mdm) rk2_step() (in module geomstats.integrator) rk4_step() (in module geomstats.integrator) root() (geomstats.numerics.optimization.NewtonMethod method) (geomstats.numerics.optimization.RootFinder method) (geomstats.numerics.optimization.ScipyRoot method) RootFinder (class in geomstats.numerics.optimization) rotate_points() (in module geomstats.algebra_utils) rotation() (geomstats.visualization.pre_shape.KendallSphere static method) rotation_matrix() (geomstats.learning.kalman_filter.Localization method) RotationBundle (class in geomstats.geometry.discrete_curves) RowPermutationAction (class in geomstats.geometry.group_action) rowwise_scaling() (in module geomstats.algebra_utils) rvs() (geomstats.information_geometry.base.ScipyMultivariateRandomVariable method) (geomstats.information_geometry.base.ScipyUnivariateRandomVariable method)

S

s_grid (geomstats.geometry.stratified.graph_space.PointToGeodesicAligner property) sample() (geomstats.distributions.lognormal.LogNormalEuclidean method) (geomstats.distributions.lognormal.LogNormalSPD method) (geomstats.information_geometry.base.InformationManifoldMixin method) (geomstats.information_geometry.beta.BetaDistributions method) (geomstats.information_geometry.binomial.BinomialDistributions method) (geomstats.information_geometry.dirichlet.DirichletDistributions method) (geomstats.information_geometry.exponential.ExponentialDistributions method) (geomstats.information_geometry.gamma.GammaDistributions method) (geomstats.information_geometry.geometric.GeometricDistributions method) (geomstats.information_geometry.multinomial.MultinomialDistributions method) (geomstats.information_geometry.normal.CenteredNormalDistributions method) (geomstats.information_geometry.normal.DiagonalNormalDistributions method) (geomstats.information_geometry.normal.GeneralNormalDistributions method) (geomstats.information_geometry.normal.UnivariateNormalDistributions method) (geomstats.information_geometry.poisson.PoissonDistributions method) sample_path() (geomstats.distributions.brownian_motion.BrownianMotion method) sample_y() (geomstats.learning.wrapped_gaussian_process.WrappedGaussianProcess method) samples_sym() (geomstats.distributions.lognormal.LogNormalSPD method) SasakiMetric (class in geomstats.geometry.sasaki_metric) scalar_curvature() (geomstats.geometry.riemannian_metric.RiemannianMetric method) scalar_product() (geomstats.varifold.VarifoldMetric method) ScalarProductMetric (class in geomstats.geometry.scalar_product_metric) ScipyMinimize (class in geomstats.numerics.optimization) ScipyMultivariateRandomVariable (class in geomstats.information_geometry.base) ScipyRandomVariable (class in geomstats.information_geometry.base) ScipyRoot (class in geomstats.numerics.optimization) ScipySolveBVP (class in geomstats.numerics.bvp) ScipySolveIVP (class in geomstats.numerics.ivp) ScipyUnivariateRandomVariable (class in geomstats.information_geometry.base) score() (geomstats.learning.geodesic_regression.GeodesicRegression method) second_centered_difference() (in module geomstats.numerics.finite_differences) second_fundamental_form() (geomstats.geometry.pullback_metric.PullbackMetric method) sectional_curvature() (geomstats.geometry.riemannian_metric.RiemannianMetric method) (geomstats.geometry.siegel.SiegelMetric method) (geomstats.information_geometry.multinomial.MultinomialMetric method) (geomstats.information_geometry.normal.UnivariateNormalMetric method) sectional_curvature_at_zero() (geomstats.geometry.siegel.SiegelMetric method) sep (geomstats.geometry.stratified.bhv_space.TreeTopology attribute) (geomstats.geometry.stratified.trees.ForestTopology attribute) separates() (geomstats.geometry.stratified.trees.Split method) set() (geomstats.learning.exponential_barycenter.ExponentialBarycenter method) (geomstats.learning.frechet_mean.FrechetMean method) (geomstats.learning.geodesic_regression.GeodesicRegression method) (geomstats.learning.wrapped_gaussian_process.WrappedGaussianProcess method) set_alignment_algorithm() (geomstats.geometry.stratified.graph_space.GraphSpaceAligner method) set_ax() (geomstats.visualization.hyperbolic.KleinDisk static method) (geomstats.visualization.hyperbolic.PoincareDisk static method) (geomstats.visualization.hyperbolic.PoincareHalfPlane method) (geomstats.visualization.hypersphere.Circle static method) (geomstats.visualization.hypersphere.Sphere static method) (geomstats.visualization.poincare_polydisk.PoincarePolyDisk static method) (geomstats.visualization.pre_shape.KendallDisk method) (geomstats.visualization.pre_shape.KendallSphere method) (geomstats.visualization.spd_matrices.Ellipses static method) (geomstats.visualization.special_euclidean.SpecialEuclidean2 static method) set_fit_request() (geomstats.learning.exponential_barycenter.ExponentialBarycenter method) (geomstats.learning.frechet_mean.ElasticMean method) (geomstats.learning.frechet_mean.FrechetMean method) (geomstats.learning.frechet_mean.LinearMean method) (geomstats.learning.geodesic_regression.GeodesicRegression method) (geomstats.learning.geometric_median.GeometricMedian method) (geomstats.learning.incremental_frechet_mean.IncrementalFrechetMean method) (geomstats.learning.mdm.RiemannianMinimumDistanceToMean method) (geomstats.learning.pca.TangentPCA method) (geomstats.learning.preprocessing.ToTangentSpace method) set_point_to_geodesic_aligner() (geomstats.geometry.stratified.graph_space.GraphSpaceAligner method) set_predict_request() (geomstats.learning.wrapped_gaussian_process.WrappedGaussianProcess method) set_score_request() (geomstats.learning.geodesic_regression.GeodesicRegression method) (geomstats.learning.kernel_density_estimation_classifier.KernelDensityEstimationClassifier method) (geomstats.learning.knn.KNearestNeighborsClassifier method) (geomstats.learning.mdm.RiemannianMinimumDistanceToMean method) (geomstats.learning.TemplateClassifier method) (geomstats.learning.wrapped_gaussian_process.WrappedGaussianProcess method) set_view() (geomstats.visualization.pre_shape.KendallSphere method) shape (geomstats.geometry.product_manifold.ProductRiemannianMetric property) ShapeBundleRandomDataGenerator (class in geomstats.test.random) ShapeError SharedMeanNormalDistributionsRandomVariable (class in geomstats.information_geometry.normal) Siegel (class in geomstats.geometry.siegel) SiegelMetric (class in geomstats.geometry.siegel) sigmoid_radial_kernel() (in module geomstats.learning.radial_kernel_functions) simplex_to_sphere() (geomstats.information_geometry.multinomial.MultinomialMetric static method) SkewSymmetricMatrices (class in geomstats.geometry.skew_symmetric_matrices) skip_all (geomstats.test.data.TestData attribute) skip_vec (geomstats.test.data.TestData attribute) skips (geomstats.test.data.TestData attribute) space (geomstats.information_geometry.fisher_rao_metric.FisherRaoMetric attribute) SPDAffineMetric (class in geomstats.geometry.spd_matrices)

SPDBuresWassersteinMetric (class in geomstats.geometry.spd_matrices) SPDEuclideanMetric (class in geomstats.geometry.spd_matrices) SPDLogEuclideanMetric (class in geomstats.geometry.spd_matrices) SPDMatrices (class in geomstats.geometry.spd_matrices) SPDPowerMetric (class in geomstats.geometry.spd_matrices) SPDScalingFinder (class in geomstats.geometry.full_rank_correlation_matrices) SpecialEuclidean (class in geomstats.geometry.special_euclidean) SpecialEuclidean2 (class in geomstats.visualization.special_euclidean) SpecialEuclideanMatricesCanonicalLeftMetric (class in geomstats.geometry.special_euclidean) SpecialEuclideanMatricesLieAlgebra (class in geomstats.geometry.special_euclidean) SpecialOrthogonal (class in geomstats.geometry.special_orthogonal) SpecialOrthogonalComposeAction (class in geomstats.geometry.group_action) Sphere (class in geomstats.visualization.hypersphere) sphere_to_simplex() (geomstats.information_geometry.multinomial.MultinomialMetric static method) Spider (class in geomstats.geometry.stratified.spider) SpiderMetric (class in geomstats.geometry.stratified.spider) SpiderPoint (class in geomstats.geometry.stratified.spider) Split (class in geomstats.geometry.stratified.trees) splits (geomstats.geometry.stratified.bhv_space.TreeTopology property) squared_dist() (geomstats.geometry.complex_poincare_disk.ComplexPoincareDiskMetric method) (geomstats.geometry.grassmannian.GrassmannianCanonicalMetric method) (geomstats.geometry.hpd_matrices.HPDBuresWassersteinMetric method) (geomstats.geometry.hyperboloid.HyperboloidMetric method) (geomstats.geometry.hypersphere.HypersphereMetric method) (geomstats.geometry.poincare_ball.PoincareBallMetric method) (geomstats.geometry.positive_lower_triangular_matrices.CholeskyMetric method) (geomstats.geometry.positive_reals.PositiveRealsMetric method) (geomstats.geometry.pullback_metric.PullbackDiffeoMetric method) (geomstats.geometry.quotient_metric.QuotientMetric method) (geomstats.geometry.riemannian_metric.RiemannianMetric method) (geomstats.geometry.siegel.SiegelMetric method) (geomstats.geometry.spd_matrices.SPDAffineMetric method) (geomstats.geometry.spd_matrices.SPDBuresWassersteinMetric method) (geomstats.geometry.special_euclidean.SpecialEuclideanMatricesCanonicalLeftMetric method) (geomstats.geometry.stratified.bhv_space.BHVMetric method) (geomstats.geometry.stratified.bhv_space.GTPSolver method) (geomstats.geometry.stratified.quotient.QuotientMetric method) (geomstats.information_geometry.binomial.BinomialMetric method) (geomstats.information_geometry.exponential.ExponentialMetric method) (geomstats.information_geometry.geometric.GeometricMetric method) (geomstats.information_geometry.poisson.PoissonMetric method) (geomstats.varifold.VarifoldMetric method) squared_norm() (geomstats.geometry.complex_matrices.ComplexMatricesMetric method) (geomstats.geometry.complex_riemannian_metric.ComplexRiemannianMetric method) (geomstats.geometry.euclidean.CanonicalEuclideanMetric method) (geomstats.geometry.grassmannian.GrassmannianCanonicalMetric method) (geomstats.geometry.hyperboloid.HyperboloidMetric method) (geomstats.geometry.hypersphere.HypersphereMetric method) (geomstats.geometry.matrices.MatricesMetric method) (geomstats.geometry.product_manifold.ProductRiemannianMetric method) (geomstats.geometry.pullback_metric.PullbackDiffeoMetric method) (geomstats.geometry.riemannian_metric.RiemannianMetric method) (geomstats.geometry.symmetric_matrices.HollowMatricesPermutationInvariantMetric method) (geomstats.geometry.symmetric_matrices.NullRowSumsPermutationInvariantMetric method) SquareMatrices (class in geomstats.geometry.general_linear) sr_sharp() (geomstats.geometry.sub_riemannian_metric.SubRiemannianMetric method) SRVMetric (class in geomstats.geometry.discrete_curves) SRVTransform (class in geomstats.geometry.discrete_curves) step_type (geomstats.numerics.ivp.GSIVPIntegrator property) Stiefel (class in geomstats.geometry.stiefel) StiefelCanonicalMetric (class in geomstats.geometry.stiefel) strictly_lower_inner_product() (geomstats.geometry.positive_lower_triangular_matrices.CholeskyMetric static method) StrictlyLowerTriangularMatrices (class in geomstats.geometry.lower_triangular_matrices) submersion() (geomstats.geometry.base.LevelSet method) (geomstats.geometry.full_rank_correlation_matrices.FullRankCorrelationMatrices method) (geomstats.geometry.grassmannian.Grassmannian method) (geomstats.geometry.hyperboloid.Hyperboloid method) (geomstats.geometry.lower_triangular_matrices.StrictlyLowerTriangularMatrices method) (geomstats.geometry.positive_lower_triangular_matrices.PLTUnitDiagMatrices method) (geomstats.geometry.pre_shape.PreShapeSpace method) (geomstats.geometry.stiefel.Stiefel method) (geomstats.geometry.symmetric_matrices.NullRowSumsSymmetricMatrices method) (geomstats.geometry.symmetric_matrices.SymmetricHollowMatrices method) (geomstats.information_geometry.multinomial.MultinomialDistributions method) SubRiemannianMetric (class in geomstats.geometry.sub_riemannian_metric) SuccessiveProjectionGeodesicSolver (class in geomstats.geometry.stratified.wald_space) support (geomstats.geometry.stratified.bhv_space.TreeTopology attribute) (geomstats.geometry.stratified.trees.ForestTopology attribute) (geomstats.information_geometry.fisher_rao_metric.FisherRaoMetric attribute) surface_metric_matrices() (geomstats.geometry.discrete_surfaces.DiscreteSurfaces method) surface_metric_matrices_from_one_forms() (geomstats.geometry.discrete_surfaces.DiscreteSurfaces static method) surface_one_forms() (geomstats.geometry.discrete_surfaces.DiscreteSurfaces method) SurfacesKernel (class in geomstats.varifold) SymMatrixLog (class in geomstats.geometry.spd_matrices) SymmetricHollowMatrices (class in geomstats.geometry.symmetric_matrices) SymmetricMatrices (class in geomstats.geometry.symmetric_matrices) symp_euler() (geomstats.geometry.sub_riemannian_metric.SubRiemannianMetric method) symp_flow() (geomstats.geometry.sub_riemannian_metric.SubRiemannianMetric method) symp_grad() (geomstats.geometry.sub_riemannian_metric.SubRiemannianMetric static method) symplectic_euler_step() (in module geomstats.integrator)

T

tangent() (geomstats.geometry.diffeo.AutodiffDiffeo method) (geomstats.geometry.diffeo.ComposedDiffeo method) (geomstats.geometry.diffeo.Diffeo method) (geomstats.geometry.diffeo.ReversedDiffeo method) (geomstats.geometry.diffeo.VectorSpaceDiffeo method) (geomstats.geometry.discrete_curves.SRVTransform method) (geomstats.geometry.full_rank_correlation_matrices.EuclideanCholeskyDiffeo method) (geomstats.geometry.full_rank_correlation_matrices.LogScalingDiffeo method) (geomstats.geometry.full_rank_correlation_matrices.OffLogDiffeo method) (geomstats.geometry.open_hemisphere.OpenHemisphereToHyperboloidDiffeo method) (geomstats.geometry.positive_lower_triangular_matrices.LowerMatrixLog class method) (geomstats.geometry.positive_lower_triangular_matrices.UnitNormedRowsPLTDiffeo method) (geomstats.geometry.spd_matrices.CholeskyMap class method) (geomstats.geometry.spd_matrices.MatrixPower method) (geomstats.geometry.spd_matrices.SymMatrixLog class method) (geomstats.geometry.symmetric_matrices.ConstantValueRowSumsDiffeo method) (geomstats.information_geometry.gamma.NaturalToStandardDiffeo method) (geomstats.information_geometry.normal.UnivariateNormalToPoincareHalfSpaceDiffeo method) tangent_corr_map() (in module geomstats.geometry.full_rank_correlation_matrices) tangent_immersion() (geomstats.geometry.base.ImmersedSet method) tangent_matrix_matrix_transpose() (in module geomstats.geometry.matrices) tangent_riemannian_submersion() (geomstats.geometry.fiber_bundle.FiberBundle method) (geomstats.geometry.full_rank_correlation_matrices.CorrelationMatricesBundle method) (geomstats.geometry.rank_k_psd_matrices.BuresWassersteinBundle method) tangent_simplex_to_sphere() (geomstats.information_geometry.multinomial.MultinomialMetric method) tangent_sphere_to_simplex() (geomstats.information_geometry.multinomial.MultinomialMetric static method) tangent_submersion() (geomstats.geometry.base.LevelSet method) (geomstats.geometry.full_rank_correlation_matrices.FullRankCorrelationMatrices method) (geomstats.geometry.grassmannian.Grassmannian method) (geomstats.geometry.hyperboloid.Hyperboloid method) (geomstats.geometry.lower_triangular_matrices.StrictlyLowerTriangularMatrices method) (geomstats.geometry.positive_lower_triangular_matrices.PLTUnitDiagMatrices method) (geomstats.geometry.pre_shape.PreShapeSpace method) (geomstats.geometry.stiefel.Stiefel method) (geomstats.geometry.symmetric_matrices.NullRowSumsSymmetricMatrices method) (geomstats.geometry.symmetric_matrices.SymmetricHollowMatrices method) (geomstats.information_geometry.multinomial.MultinomialDistributions method) tangent_translation_map() (geomstats.geometry.lie_group.LieGroup method) (geomstats.geometry.lie_group.MatrixLieGroup method) tangent_vec_from_base_point_to_zero() (geomstats.geometry.siegel.SiegelMetric static method) tangent_vec_from_zero_to_base_point() (geomstats.geometry.siegel.SiegelMetric static method) TangentBundle (class in geomstats.geometry.sasaki_metric) TangentPCA (class in geomstats.learning.pca) taylor_exp_even_func() (in module geomstats.algebra_utils) TemplateClassifier (class in geomstats.learning) TemplateEstimator (class in geomstats.learning) TemplateTransformer (class in geomstats.learning) test_vectorization() (in module geomstats.test.vectorization) TestData (class in geomstats.test.data) TimeSeriesCovariance (class in geomstats.datasets.prepare_emg_data) to_bagel_coords() (geomstats.geometry.klein_bottle.KleinBottle static method) to_bottle_coords() (geomstats.geometry.klein_bottle.KleinBottle static method) to_coords() (geomstats.geometry.klein_bottle.KleinBottle method) to_diagonal() (geomstats.geometry.matrices.Matrices class method) to_extrinsic_coords() (geomstats.geometry.klein_bottle.KleinBottle static method) to_grassmannian() (geomstats.geometry.stiefel.Stiefel static method) to_hermitian() (geomstats.geometry.complex_matrices.ComplexMatrices class method) to_lower_triangular() (geomstats.geometry.matrices.Matrices class method) to_lower_triangular_diagonal_scaled() (geomstats.geometry.matrices.Matrices class method) to_skew_hermitian() (geomstats.geometry.complex_matrices.ComplexMatrices class method)

to_skew_symmetric() (geomstats.geometry.matrices.Matrices class method) to_strictly_lower_triangular() (geomstats.geometry.matrices.Matrices class method) to_strictly_upper_triangular() (geomstats.geometry.matrices.Matrices class method) to_symmetric() (geomstats.geometry.matrices.Matrices class method) to_tangent() (geomstats.geometry.base.ComplexVectorSpace method) (geomstats.geometry.base.ComplexVectorSpaceOpenSet method) (geomstats.geometry.base.DiffeomorphicManifold method) (geomstats.geometry.base.ImmersedSet method) (geomstats.geometry.base.OpenSet method) (geomstats.geometry.base.VectorSpace method) (geomstats.geometry.base.VectorSpaceOpenSet method) (geomstats.geometry.complex_manifold.ComplexManifold method) (geomstats.geometry.discrete_surfaces.DiscreteSurfaces method) (geomstats.geometry.full_rank_correlation_matrices.FullRankCorrelationMatrices method) (geomstats.geometry.functions.HilbertSphere method) (geomstats.geometry.grassmannian.Grassmannian method) (geomstats.geometry.hyperboloid.Hyperboloid method) (geomstats.geometry.klein_bottle.KleinBottle method) (geomstats.geometry.lie_group.LieGroup method) (geomstats.geometry.lie_group.MatrixLieGroup method) (geomstats.geometry.manifold.Manifold method) (geomstats.geometry.nfold_manifold.NFoldManifold method) (geomstats.geometry.positive_lower_triangular_matrices.PLTUnitDiagMatrices method) (geomstats.geometry.pre_shape.PreShapeSpace method) (geomstats.geometry.product_manifold.ProductManifold method) (geomstats.geometry.rank_k_psd_matrices.RankKPSDMatrices method) (geomstats.geometry.sasaki_metric.TangentBundle method) (geomstats.geometry.stiefel.Stiefel method) (geomstats.information_geometry.multinomial.MultinomialDistributions method) to_upper_triangular() (geomstats.geometry.matrices.Matrices class method) tolerances (geomstats.test.data.TestData attribute) topology (geomstats.geometry.stratified.bhv_space.Tree attribute) (geomstats.geometry.stratified.bhv_space.TreeBatch property) (geomstats.geometry.stratified.wald_space.WaldBatch property) total_space (geomstats.geometry.stratified.graph_space.GraphSpaceAlignerAlgorithm attribute) ToTangentSpace (class in geomstats.learning.preprocessing) trace_product() (geomstats.geometry.matrices.Matrices static method) transconjugate() (geomstats.geometry.complex_matrices.ComplexMatrices static method) transform() (geomstats.datasets.prepare_emg_data.TimeSeriesCovariance method) (geomstats.learning.mdm.RiemannianMinimumDistanceToMean method) (geomstats.learning.pca.TangentPCA method) (geomstats.learning.preprocessing.ToTangentSpace method) (geomstats.learning.TemplateTransformer method) transform_point() (geomstats.test.utils.IdentityPointTransformer method) (geomstats.test.utils.PointTransformer method) (geomstats.test.utils.PointTransformerFromDiffeo method) transform_tangent_vec() (geomstats.test.utils.IdentityPointTransformer method) (geomstats.test.utils.PointTransformer method) (geomstats.test.utils.PointTransformerFromDiffeo method) transpose() (geomstats.geometry.matrices.Matrices static method) Tree (class in geomstats.geometry.stratified.bhv_space) TreeBatch (class in geomstats.geometry.stratified.bhv_space) TreeSpace (class in geomstats.geometry.stratified.bhv_space) TreeTopology (class in geomstats.geometry.stratified.bhv_space) trials (geomstats.test.data.TestData attribute) triangular_radial_kernel() (in module geomstats.learning.radial_kernel_functions) tricube_radial_kernel() (in module geomstats.learning.radial_kernel_functions) Trihedron (class in geomstats.visualization.special_orthogonal) triweight_radial_kernel() (in module geomstats.learning.radial_kernel_functions) tutorial_matplotlib() (in module geomstats.visualization)

U

ua (geomstats.visualization.pre_shape.KendallDisk attribute) (geomstats.visualization.pre_shape.KendallSphere attribute) ub (geomstats.visualization.pre_shape.KendallDisk attribute) (geomstats.visualization.pre_shape.KendallSphere attribute) uniform_radial_kernel() (in module geomstats.learning.radial_kernel_functions) UniformlySampledDiscretePath (class in geomstats.numerics.path) UniformlySampledPathEnergy (class in geomstats.numerics.path) UniformUnitIntervalLinearInterpolator (class in geomstats.numerics.interpolation) UniqueDiagonalMatrixAlgorithm (class in geomstats.geometry.full_rank_correlation_matrices)

UnitNormedRowsPLTDiffeo (class in geomstats.geometry.positive_lower_triangular_matrices) UnitNormedRowsPLTMatrices (class in geomstats.geometry.positive_lower_triangular_matrices) UnitNormedRowsPLTMatricesPullbackMetric (class in geomstats.geometry.positive_lower_triangular_matrices) UnivariateNormalDistributions (class in geomstats.information_geometry.normal) UnivariateNormalDistributionsRandomVariable (class in geomstats.information_geometry.normal) UnivariateNormalMetric (class in geomstats.information_geometry.normal) UnivariateNormalToPoincareHalfSpaceDiffeo (class in geomstats.information_geometry.normal) update() (geomstats.learning.kalman_filter.KalmanFilter method) upper_triangular_matrix_from_vector() (geomstats.geometry.heisenberg.HeisenbergVectors static method)

V

variance() (in module geomstats.learning.frechet_mean) variances_ (geomstats.learning.expectation_maximization.RiemannianEM attribute) (geomstats.learning.expectation_maximization.RiemannianEM property) variances_range (geomstats.learning.expectation_maximization.GaussianMixtureModel attribute) VarifoldMetric (class in geomstats.varifold) vector_from_upper_triangular_matrix() (geomstats.geometry.heisenberg.HeisenbergVectors static method) vectorize_point() (in module geomstats.geometry.stratified.vectorization) VectorSpace (class in geomstats.geometry.base)

VectorSpaceDiffeo (class in geomstats.geometry.diffeo) VectorSpaceOpenSet (class in geomstats.geometry.base) VectorSpaceRandomDataGenerator (class in geomstats.test.random) vertex_areas() (geomstats.geometry.discrete_surfaces.DiscreteSurfaces method) vertical_projection() (geomstats.geometry.discrete_curves.ReparametrizationBundle method) (geomstats.geometry.fiber_bundle.FiberBundle method) (geomstats.geometry.full_rank_correlation_matrices.CorrelationMatricesBundle method) (geomstats.geometry.pre_shape.PreShapeBundle method) (geomstats.geometry.rank_k_psd_matrices.BuresWassersteinBundle method)

W

Wald (class in geomstats.geometry.stratified.wald_space) WaldBatch (class in geomstats.geometry.stratified.wald_space) WaldSpace (class in geomstats.geometry.stratified.wald_space) WaldSpaceMetric (class in geomstats.geometry.stratified.wald_space) weighted_pdf() (geomstats.learning.expectation_maximization.GaussianMixtureModel method)

weights (geomstats.geometry.stratified.wald_space.WaldBatch property) where (geomstats.geometry.stratified.bhv_space.TreeTopology attribute) (geomstats.geometry.stratified.trees.ForestTopology attribute) wrap() (in module geomstats.learning.kernel_density_estimation_classifier) (in module geomstats.learning.knn) WrappedGaussianProcess (class in geomstats.learning.wrapped_gaussian_process)

X

X_ (geomstats.learning.TemplateClassifier attribute)

xfails (geomstats.test.data.TestData attribute)

Y

y_ (geomstats.learning.TemplateClassifier attribute)