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Oineus 0.9.31
Oineus 0.9.31

Getting started

  • Installation
  • Quickstart
  • A tour of Oineus

User guide

  • User guide

Tutorials

  • Tutorials
    • TDA for beginners
    • Differentiable Wasserstein gradients

Topics

  • Topics
    • Filtration types
    • Working with a filtration
    • Inside the decomposition
    • Diagram distances and matchings
    • Plotting
    • Fréchet mean of persistence diagrams
    • Differentiable persistence diagrams
    • Low-level critical-set interface
    • Kernel, image, cokernel persistence
    • Mapping cylinders
    • Relative persistent homology
    • Performance
    • Interoperability

Reference

  • API reference
    • oineus.freudenthal_filtration
    • oineus.vr_filtration
    • oineus.cube_filtration
    • oineus.alpha_filtration
    • oineus.compute_diagrams_alpha
    • oineus.list_to_filtration
    • oineus.mapping_cylinder
    • oineus.min_filtration
    • oineus.multiply_filtration
    • oineus.reduce
    • oineus.compute_diagrams_ls
    • oineus.compute_diagrams_vr
    • oineus.compute_relative_diagrams
    • oineus.get_boundary_matrix
    • oineus.is_reduced
    • oineus.Diagrams
    • oineus.DiagramPoint
    • oineus.IndexDiagramPoint
    • oineus.DiagramMatching
    • oineus.bottleneck_distance
    • oineus.wasserstein_distance
    • oineus.sliced_wasserstein_distance
    • oineus.sliced_wasserstein_distance_diag_corrected
    • oineus.wasserstein_matching
    • oineus.bottleneck_matching
    • oineus.point_to_diagonal
    • oineus.get_permutation_dtv
    • oineus.frechet_mean
    • oineus.frechet_mean_multistart
    • oineus.progressive_frechet_mean
    • oineus.progressive_frechet_mean_multistart
    • oineus.frechet_mean_objective
    • oineus.init_frechet_mean_first_diagram
    • oineus.init_frechet_mean_random_diagram
    • oineus.init_frechet_mean_medoid_diagram
    • oineus.init_frechet_mean_diagonal_grid
    • oineus.Simplex
    • oineus.CombinatorialSimplex
    • oineus.ProdSimplex
    • oineus.Filtration
    • oineus.Decomposition
    • oineus.ReductionParams
    • oineus.ReductionTimings
    • oineus.KICRParams
    • oineus.KerImCokReduced
    • oineus.KerImCokReducedProd
    • oineus.compute_kernel_image_cokernel_reduction
    • oineus.compute_ker_cok_reduction_cyl
    • oineus.get_induced_matching
    • oineus.TopologyOptimizer
    • oineus.TopologyOptimizerProd
    • oineus.IndicesValues
    • oineus.get_denoise_target
    • oineus.get_nth_persistence
    • oineus.get_ls_wasserstein_matching_target_values
    • oineus.ConflictStrategy
    • oineus.DenoiseStrategy
    • oineus.DiagramPlaneDomain
    • oineus.FrechetMeanInit
    • oineus.VREdge
    • oineus.to_scipy_matrix
    • oineus.max_distance
    • oineus.plot_diagram
    • oineus.plot_diagram_gradient
    • oineus.plot_matching
    • oineus.plot_chain
    • oineus.diff.freudenthal_filtration
    • oineus.diff.vr_filtration
    • oineus.diff.cube_filtration
    • oineus.diff.alpha_filtration
    • oineus.diff.weak_alpha_filtration
    • oineus.diff.cech_delaunay_filtration
    • oineus.diff.mapping_cylinder_filtration
    • oineus.diff.min_filtration
    • oineus.diff.persistence_diagram
    • oineus.diff.sliced_wasserstein_distance
    • oineus.diff.sliced_wasserstein_distance_diag_corrected
    • oineus.diff.wasserstein_cost
    • oineus.diff.DiffFiltration
    • oineus.diff.TopologyOptimizer
    • oineus.diff.PersistenceDiagrams
  • Examples
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oineus.diff.min_filtration¶

oineus.diff.min_filtration(fil_1, fil_2)[source]¶
Parameters:

  • fil_1 (DiffFiltration)

  • fil_2 (DiffFiltration)

Return type:

DiffFiltration

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oineus.diff.persistence_diagram
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oineus.diff.mapping_cylinder_filtration
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  • oineus.diff.min_filtration
    • min_filtration()