A new distance based on pairwise inner products yields a test for spherical uniformity that achieves minimax optimal detection rates across multiple high-dimensional parametric models, including cases without densities.
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Detecting non-uniform patterns on high-dimensional hyperspheres
A new distance based on pairwise inner products yields a test for spherical uniformity that achieves minimax optimal detection rates across multiple high-dimensional parametric models, including cases without densities.