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) _test_signed_betti() (in module multipers.tests.test_signed_betti) _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)

D

deep_format_measure() (multipers.ml.signed_measures.SignedMeasureFormatter static method) DegreeRips2SignedMeasure (class in multipers.ml.signed_measures) 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)

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.function_rips multipers.grids multipers.io multipers.ml multipers.ml.convolutions multipers.ml.kernels multipers.ml.mma multipers.ml.point_clouds multipers.ml.signed_betti 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 multipers.tests.test_diff_helper multipers.tests.test_hilbert_function multipers.tests.test_point_clouds multipers.tests.test_signed_betti multipers.tests.test_simplextreemulti 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.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_betti 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 multipers.tests.test_diff_helper module multipers.tests.test_hilbert_function module multipers.tests.test_point_clouds module multipers.tests.test_signed_betti module multipers.tests.test_simplextreemulti 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.ml.signed_betti)

reduce_complex() (in module multipers.io) rescale_sparse_signed_measure() (in module multipers.ml.signed_measures)

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.ml.signed_betti) 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) test_1() (in module multipers.tests.test_simplextreemulti) test_2() (in module multipers.tests.test_simplextreemulti) test_3() (in module multipers.tests.test_hilbert_function) (in module multipers.tests.test_simplextreemulti) test_4() (in module multipers.tests.test_hilbert_function) (in module multipers.tests.test_simplextreemulti) test_5() (in module multipers.tests.test_hilbert_function) test_distance_matrix_filling() (in module multipers.tests.test_simplextreemulti) test_flagify() (in module multipers.tests.test_simplextreemulti) test_h0_rips_density() (in module multipers.tests.test_diff_helper) test_h1_rips_density() (in module multipers.tests.test_diff_helper) test_make_filtration_non_decreasing() (in module multipers.tests.test_simplextreemulti) test_rank_decomposition() (in module multipers.tests.test_signed_betti) test_serialize() (in module multipers.tests.test_simplextreemulti) test_throw_test() (in module multipers.tests.test_point_clouds) 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)