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  "Title": "Uniform Manifold Samplers for Topological Data Analysis",
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  "Description": "Uniform random samples from simple manifolds, sometimes\nwith noise, are commonly used to test topological data analytic\n(TDA) tools. This package includes samplers powered by two\ntechniques: analytic volume-preserving parameterizations, as\nemployed by Arvo (1995) <doi:10.1145/218380.218500>, and\nrejection sampling, as employed by Diaconis, Holmes, and\nShahshahani (2013) <doi:10.1214/12-IMSCOLL1006>.",
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  "Date/Publication": "2024-06-17 17:08:50 UTC",
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    "sample_arch_spiral",
    "sample_circle",
    "sample_circles_interlocked",
    "sample_cylinder_elliptical",
    "sample_disk",
    "sample_ellipse",
    "sample_klein_flat",
    "sample_klein_tube",
    "sample_lemniscate_gerono",
    "sample_mobius_rotoid",
    "sample_projective_plane",
    "sample_sphere",
    "sample_strat_cube",
    "sample_strat_segment",
    "sample_strat_square",
    "sample_stratify",
    "sample_swiss_roll",
    "sample_tori_interlocked",
    "sample_torus_flat",
    "sample_torus_tube",
    "sample_trefoil",
    "sample_triangle_planar"
  ],
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      "page": "annuli",
      "title": "Sample (with noise) from annuli",
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        "disks",
        "sample_annulus",
        "sample_disk"
      ]
    },
    {
      "page": "arch-spirals",
      "title": "Sample (with noise) from archimedean spirals and swiss rolls",
      "topics": [
        "arch-spirals",
        "sample_arch_spiral",
        "sample_swiss_roll"
      ]
    },
    {
      "page": "circles",
      "title": "Sample (with noise) from circles",
      "topics": [
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        "sample_circle",
        "sample_circles_interlocked"
      ]
    },
    {
      "page": "ellipses",
      "title": "Sample (with noise) from ellipses",
      "topics": [
        "ellipses",
        "sample_cylinder_elliptical",
        "sample_ellipse"
      ]
    },
    {
      "page": "klein-bottles",
      "title": "Sample (with noise) from Klein bottles",
      "topics": [
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        "sample_klein_flat",
        "sample_klein_tube"
      ]
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      "page": "lemniscates",
      "title": "Sample (with noise) from lemniscates (figure eights)",
      "topics": [
        "lemniscates",
        "sample_lemniscate_gerono"
      ]
    },
    {
      "page": "mobius-strips",
      "title": "Sample (with noise) from Möbius strips",
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        "mobius-strips",
        "sample_mobius_rotoid"
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    },
    {
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      "title": "Add noise to a sample",
      "topics": [
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        "noise"
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      "topics": [
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        "sample_projective_plane"
      ]
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      "title": "Custom uniform rejection samplers",
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        "rejection-samplers"
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      "title": "Sample (with noise) from a sphere",
      "topics": [
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        "sphere"
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        "stratified-samplers"
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        "tdaunif"
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        "sample_torus_flat",
        "sample_torus_tube",
        "tori"
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        "trefoil"
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    },
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      "title": "Sample (with noise) from planar triangles",
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