Are the data hollow?
نویسندگان
چکیده
This paper presents statistical approaches to testing whether data are spherical in the topological sense, ie, they lie on a closed manifold with a hollow interior. We characterize the sphere by it’s Betti numbers and use the computational topology program PLEX [12] based on simplicial complexes to calculate the data’s Betti numbers. We use the parametric bootstrap approach to test the power of the test for several alternatives including the full sphere or ellipsoid filling points in three dimensions.
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