Index

_

_blocks2boundary_dimension_grades() (in module multipers._slicer_meta) _check_available() (in module multipers.io) _check_axis() (multipers.ml.signed_measures.SignedMeasureFormatter method) _check_backend() (multipers.ml.signed_measures.SignedMeasureFormatter method) _check_measures() (multipers.ml.signed_measures.SignedMeasureFormatter method) _check_resolution() (multipers.ml.signed_measures.SignedMeasureFormatter method) _check_sm() (multipers.ml.signed_measures.SignedMeasureFormatter static method) _check_weights() (multipers.ml.signed_measures.SignedMeasureFormatter method) _collapse_edge_list() (in module multipers.multiparameter_edge_collapse) _compute_grid_numpy() (in module multipers.grids) _compute_signed_measure_parts() (in module multipers.ml.sliced_wasserstein) _compute_signed_measure_projections() (in module multipers.ml.sliced_wasserstein) _d_inf() (in module multipers.plots) _define_bandwidths() (multipers.ml.point_clouds.PointCloud2FilteredComplex method) _define_sts() (multipers.ml.point_clouds.PointCloud2FilteredComplex method) _get_codensities() (multipers.ml.point_clouds.PointCloud2FilteredComplex method) _get_distance_quantiles_and_threshold() (multipers.ml.point_clouds.PointCloud2FilteredComplex method) _get_filtration_bounds() (multipers.ml.signed_measures.SignedMeasureFormatter method) _get_module_bound() (multipers.ml.mma.MMAFormatter static method) _get_sts_alpha() (multipers.ml.point_clouds.PointCloud2FilteredComplex method) _get_sts_delaunay() (multipers.ml.point_clouds.PointCloud2FilteredComplex method) _get_sts_rips() (multipers.ml.point_clouds.PointCloud2FilteredComplex method) _infer_axis() (multipers.ml.mma.MMAFormatter static method) _infer_bounding_box() (multipers.ml.mma.FilteredComplex2MMA method) _infer_bounds() (multipers.ml.mma.MMAFormatter static method) _infer_degrees() (multipers.ml.mma.MMAFormatter method) _infer_filtration() (multipers.ml.signed_measures.FilteredComplex2SignedMeasure method) _infer_grid() (multipers.ml.mma.MMAFormatter static method) _infer_grids() (multipers.ml.signed_measures.SignedMeasureFormatter method) _infer_num_parameters() (multipers.ml.mma.MMAFormatter static method) _init_external_softwares() (in module multipers.io) _input_checks() (multipers.ml.mma.FilteredComplex2MMA method) (multipers.ml.signed_measures.FilteredComplex2SignedMeasure method) _integrate_measure() (multipers.ml.signed_measures.SignedMeasureFormatter static method) _is_filtered_complex() (multipers.ml.mma.FilteredComplex2MMA static method) (multipers.ml.signed_measures.FilteredComplex2SignedMeasure static method) _kernel() (in module multipers.ml.convolutions) _maybe_from_dump() (multipers.ml.mma.MMAFormatter static method) _pairwise() (in module multipers.ml.sliced_wasserstein) _params_check() (multipers.ml.signed_measures.FilteredComplex2SignedMeasure method) _path_init() (in module multipers.io) _plot_imgs() (multipers.ml.signed_measures.SignedMeasure2Convolution method) _plot_rectangle() (in module multipers.plots) _plot_signed_measure_2() (in module multipers.plots) _plot_signed_measure_4() (in module multipers.plots) _plot_signed_measures() (multipers.ml.signed_measures.SignedMeasureFormatter method)

_print_stats() (multipers.ml.signed_measures.SignedMeasureFormatter method) _pts_convolution_pykeops() (in module multipers.ml.convolutions) _pts_convolution_sparse_old() (in module multipers.ml.convolutions) _put_temp_files_to_ram() (in module multipers.io) _rectangle() (in module multipers.plots) _rescale_measures() (multipers.ml.signed_measures.SignedMeasureFormatter method) _signed_measure_from_scc() (in module multipers._signed_measure_meta) _signed_measure_from_slicer() (in module multipers._signed_measure_meta) _sklearn_auto_wrap_output_keys (multipers.ml.kernels.DistanceList2DistanceMatrix attribute) (multipers.ml.kernels.DistanceMatrices2DistancesList attribute) (multipers.ml.kernels.DistanceMatrix2DistanceList attribute) (multipers.ml.kernels.DistanceMatrix2Kernel attribute) (multipers.ml.kernels.DistancesLists2DistanceMatrices attribute) (multipers.ml.mma.FilteredComplex2MMA attribute) (multipers.ml.mma.MMA2IMG attribute) (multipers.ml.mma.MMA2Landscape attribute) (multipers.ml.mma.MMAFormatter attribute) (multipers.ml.mma.SimplexTree2MMA attribute) (multipers.ml.point_clouds.PointCloud2FilteredComplex attribute) (multipers.ml.point_clouds.PointCloud2SimplexTree attribute) (multipers.ml.signed_measures.DegreeRips2SignedMeasure attribute) (multipers.ml.signed_measures.FilteredComplex2SignedMeasure attribute) (multipers.ml.signed_measures.SignedMeasure2Convolution attribute) (multipers.ml.signed_measures.SignedMeasure2SlicedWassersteinDistance attribute) (multipers.ml.signed_measures.SignedMeasureFormatter attribute) (multipers.ml.signed_measures.SignedMeasures2SlicedWassersteinDistances attribute) (multipers.ml.signed_measures.SimplexTree2RectangleDecomposition attribute) (multipers.ml.signed_measures.SimplexTree2SignedMeasure attribute) (multipers.ml.sliced_wasserstein.SlicedWassersteinDistance attribute) (multipers.ml.sliced_wasserstein.WassersteinDistance attribute) (multipers.ml.tools.SimplexTreeEdgeCollapser attribute) _sklearn_wrapper() (in module multipers.ml.sliced_wasserstein) _sliced_wasserstein_distance() (in module multipers.ml.sliced_wasserstein) _sliced_wasserstein_distance_on_projections() (in module multipers.ml.sliced_wasserstein) _slicer_from_blocks() (in module multipers._slicer_meta) _slicer_from_simplextree() (in module multipers._slicer_meta) _sm2smi() (multipers.ml.signed_measures.SignedMeasure2Convolution method) _st2ranktensor() (in module multipers.ml.signed_measures) _todo_partition() (in module multipers.grids) _todo_regular_closest() (in module multipers.grids) _todo_regular_left() (in module multipers.grids) _torch_regular_closest() (in module multipers.grids) _transform1() (multipers.ml.signed_measures.DegreeRips2SignedMeasure method) _transform_from_sparse() (multipers.ml.signed_measures.SignedMeasure2Convolution method) _wasserstein_distance() (in module multipers.ml.sliced_wasserstein) _wasserstein_distance_on_parts() (in module multipers.ml.sliced_wasserstein)

A

assert_sm() (in module multipers.tests)

assert_sm_pair() (in module multipers.tests) assert_st_simplices() (in module multipers.tests)

B

barcode_from_rank_sm() (in module multipers.point_measure)

batch_signed_measure_convolutions() (in module multipers.ml.convolutions)

C

clean_signed_measure() (in module multipers.point_measure) clean_sms() (in module multipers.point_measure) clear_io() (in module multipers.io) coarsen_points() (in module multipers.grids) compute_bounding_box() (in module multipers.grids) compute_grid() (in module multipers.grids)

convolution_signed_measures() (in module multipers.ml.convolutions) copy_transform() (multipers.ml.mma.MMAFormatter static method) CoreDelaunay() (in module multipers.filtrations) (in module multipers.filtrations.filtrations) Cubical() (in module multipers.filtrations) (in module multipers.filtrations.filtrations)

D

deep_format_measure() (multipers.ml.signed_measures.SignedMeasureFormatter static method) DegreeRips() (in module multipers.filtrations) (in module multipers.filtrations.filtrations) DegreeRips2SignedMeasure (class in multipers.ml.signed_measures) DelaunayCodensity() (in module multipers.filtrations) (in module multipers.filtrations.filtrations) DelaunayLowerstar() (in module multipers.filtrations) (in module multipers.filtrations.filtrations)

DistanceList2DistanceMatrix (class in multipers.ml.kernels) DistanceMatrices2DistancesList (class in multipers.ml.kernels) DistanceMatrix2DistanceList (class in multipers.ml.kernels) DistanceMatrix2Kernel (class in multipers.ml.kernels) DistancesLists2DistanceMatrices (class in multipers.ml.kernels) DTM (class in multipers.ml.convolutions)

E

estimate_error() (in module multipers.distances) estimate_matching() (in module multipers.distances)

estimate_rank_from_rank_sm() (in module multipers.point_measure) evaluate_in_grid() (in module multipers.grids) exponential_kernel() (in module multipers.ml.convolutions)

F

FilteredComplex2MMA (class in multipers.ml.mma) FilteredComplex2SignedMeasure (class in multipers.ml.signed_measures) filtration_grid_to_coordinates() (in module multipers.ml.tools) fit() (multipers.ml.convolutions.DTM method) (multipers.ml.convolutions.KDE method) (multipers.ml.kernels.DistanceList2DistanceMatrix method) (multipers.ml.kernels.DistanceMatrices2DistancesList method) (multipers.ml.kernels.DistanceMatrix2DistanceList method) (multipers.ml.kernels.DistanceMatrix2Kernel method) (multipers.ml.kernels.DistancesLists2DistanceMatrices method) (multipers.ml.mma.FilteredComplex2MMA method) (multipers.ml.mma.MMA2IMG method) (multipers.ml.mma.MMA2Landscape method) (multipers.ml.mma.MMAFormatter method) (multipers.ml.point_clouds.PointCloud2FilteredComplex method) (multipers.ml.signed_measures.DegreeRips2SignedMeasure method) (multipers.ml.signed_measures.FilteredComplex2SignedMeasure method) (multipers.ml.signed_measures.SignedMeasure2Convolution method) (multipers.ml.signed_measures.SignedMeasure2SlicedWassersteinDistance method) (multipers.ml.signed_measures.SignedMeasureFormatter method) (multipers.ml.signed_measures.SignedMeasures2SlicedWassersteinDistances method) (multipers.ml.signed_measures.SimplexTree2RectangleDecomposition method) (multipers.ml.sliced_wasserstein.SlicedWassersteinDistance method) (multipers.ml.sliced_wasserstein.WassersteinDistance method) (multipers.ml.tools.SimplexTreeEdgeCollapser method)

function_delaunay_presentation() (in module multipers.io) function_delaunay_presentation_to_slicer() (in module multipers.io) function_rips_signed_measure() (in module multipers.function_rips) function_rips_surface() (in module multipers.function_rips)

G

gaussian_kernel() (in module multipers.ml.convolutions) get_degree_rips() (in module multipers.function_rips) get_filtration_weights_grid() (in module multipers.ml.tools) get_orbit5k() (in module multipers.data.synthetic)

get_simplex_tree_from_delayed() (in module multipers.ml.tools) get_simplextree() (in module multipers.ml.tools) get_sm_with_axis() (in module multipers.pickle) get_sm_without_axis() (in module multipers.pickle)

I

integrate_measure() (in module multipers.point_measure)

integrate_measure_python() (in module multipers.point_measure) istensor() (in module multipers.plots)

K

KDE (class in multipers.ml.convolutions)

L

load() (in module multipers.pickle)

load_with_axis() (in module multipers.pickle) load_without_axis() (in module multipers.pickle)

M

MMA2IMG (class in multipers.ml.mma) MMA2Landscape (class in multipers.ml.mma) MMAFormatter (class in multipers.ml.mma) module multipers multipers._signed_measure_meta multipers._slicer_meta multipers.data multipers.data.minimal_presentation_to_st_bf multipers.data.synthetic multipers.distances multipers.filtrations multipers.filtrations.filtrations multipers.function_rips multipers.grids multipers.io multipers.ml multipers.ml.convolutions multipers.ml.kernels multipers.ml.mma multipers.ml.point_clouds multipers.ml.signed_measures multipers.ml.sliced_wasserstein multipers.ml.tools multipers.multiparameter_edge_collapse multipers.multiparameter_module_approximation multipers.pickle multipers.plots multipers.point_measure multipers.tests module_approximation() (in module multipers) (in module multipers.multiparameter_module_approximation) module_approximation_from_slicer() (in module multipers.multiparameter_module_approximation) multipers module multipers._signed_measure_meta module multipers._slicer_meta module multipers.data module multipers.data.minimal_presentation_to_st_bf module

multipers.data.synthetic module multipers.distances module multipers.filtrations module multipers.filtrations.filtrations module multipers.function_rips module multipers.grids module multipers.io module multipers.ml module multipers.ml.convolutions module multipers.ml.kernels module multipers.ml.mma module multipers.ml.point_clouds module multipers.ml.signed_measures module multipers.ml.sliced_wasserstein module multipers.ml.tools module multipers.multiparameter_edge_collapse module multipers.multiparameter_module_approximation module multipers.pickle module multipers.plots module multipers.point_measure module multipers.tests module multivariate_gaussian_kernel() (in module multipers.ml.convolutions)

N

noisy_annulus() (in module multipers.data.synthetic)

O

orbit() (in module multipers.data.synthetic)

P

pairwise_signed_measure_distances() (in module multipers.ml.sliced_wasserstein) plot2d_PyModule() (in module multipers.plots) plot_signed_measure() (in module multipers.plots) plot_signed_measures() (in module multipers.plots) plot_surface() (in module multipers.plots)

plot_surfaces() (in module multipers.plots) PointCloud2FilteredComplex (class in multipers.ml.point_clouds) PointCloud2SimplexTree (class in multipers.ml.point_clouds) predict() (multipers.ml.kernels.DistanceMatrices2DistancesList method) (multipers.ml.signed_measures.SignedMeasure2SlicedWassersteinDistance method) push_to_grid() (in module multipers.grids)

R

random_st() (in module multipers.tests) rank_decomposition_by_rectangles() (in module multipers.point_measure) reduce_complex() (in module multipers.io) rescale_sparse_signed_measure() (in module multipers.ml.signed_measures)

RipsCodensity() (in module multipers.filtrations) (in module multipers.filtrations.filtrations) RipsLowerstar() (in module multipers.filtrations) (in module multipers.filtrations.filtrations)

S

save() (in module multipers.pickle) save_with_axis() (in module multipers.pickle) save_without_axis() (in module multipers.pickle) scc2disk() (in module multipers.io) scc2disk_old() (in module multipers.io) scc_parser() (in module multipers.io) scc_parser__old() (in module multipers.io) scc_reduce_from_str() (in module multipers.io) scc_reduce_from_str_to_slicer() (in module multipers.io) score_samples() (multipers.ml.convolutions.DTM method) (multipers.ml.convolutions.KDE method) score_samples_diff() (multipers.ml.convolutions.DTM method) set_fit_request() (multipers.ml.mma.MMAFormatter method) set_transform_request() (multipers.ml.mma.MMAFormatter method) signed_betti() (in module multipers.point_measure) signed_measure() (in module multipers) (in module multipers._signed_measure_meta) SignedMeasure2Convolution (class in multipers.ml.signed_measures)

SignedMeasure2SlicedWassersteinDistance (class in multipers.ml.signed_measures) SignedMeasureFormatter (class in multipers.ml.signed_measures) SignedMeasures2SlicedWassersteinDistances (class in multipers.ml.signed_measures) SimplexTree2MMA (class in multipers.ml.mma) SimplexTree2RectangleDecomposition (class in multipers.ml.signed_measures) SimplexTree2SignedMeasure (class in multipers.ml.signed_measures) SimplexTreeEdgeCollapser (class in multipers.ml.tools) SimplexTreeMulti() (in module multipers) sinc_kernel() (in module multipers.ml.convolutions) SlicedWassersteinDistance (class in multipers.ml.sliced_wasserstein) Slicer() (in module multipers) (in module multipers._slicer_meta) sm2diff() (in module multipers.distances) sm_distance() (in module multipers.distances) sm_in_grid() (in module multipers.grids) sms_in_grid() (in module multipers.grids) sort_sm() (in module multipers.tests) sparsify() (in module multipers.point_measure)

T

tensor_möbius_inversion() (in module multipers.ml.signed_measures) three_annulus() (in module multipers.data.synthetic) to_lazy() (multipers.ml.convolutions.KDE static method) todense() (in module multipers.grids) transform() (multipers.ml.kernels.DistanceList2DistanceMatrix method) (multipers.ml.kernels.DistanceMatrices2DistancesList method) (multipers.ml.kernels.DistanceMatrix2DistanceList method) (multipers.ml.kernels.DistanceMatrix2Kernel method) (multipers.ml.kernels.DistancesLists2DistanceMatrices method) (multipers.ml.mma.FilteredComplex2MMA method) (multipers.ml.mma.MMA2IMG method) (multipers.ml.mma.MMA2Landscape method) (multipers.ml.mma.MMAFormatter method) (multipers.ml.point_clouds.PointCloud2FilteredComplex method) (multipers.ml.signed_measures.DegreeRips2SignedMeasure method) (multipers.ml.signed_measures.FilteredComplex2SignedMeasure method) (multipers.ml.signed_measures.SignedMeasure2Convolution method) (multipers.ml.signed_measures.SignedMeasure2SlicedWassersteinDistance method) (multipers.ml.signed_measures.SignedMeasureFormatter method) (multipers.ml.signed_measures.SignedMeasures2SlicedWassersteinDistances method) (multipers.ml.signed_measures.SimplexTree2RectangleDecomposition method) (multipers.ml.sliced_wasserstein.SlicedWassersteinDistance method) (multipers.ml.sliced_wasserstein.WassersteinDistance method) (multipers.ml.tools.SimplexTreeEdgeCollapser method)

transform1() (multipers.ml.signed_measures.FilteredComplex2SignedMeasure method)

U

unsparse_signed_measure() (multipers.ml.signed_measures.SignedMeasureFormatter method)

W

WassersteinDistance (class in multipers.ml.sliced_wasserstein)

Z

zero_out_sm() (in module multipers.point_measure)

zero_out_sms() (in module multipers.point_measure)