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math.ST2025
Detecting non-uniform patterns on high-dimensional hyperspheres
Tiefeng Jiang, Tuan Pham
We propose a new probabilistic characterization of the uniform distribution on the hypersphere in terms of the distribution of pairwise inner products, extending the ideas of \cite…
math.ST2025
Asymptotic analysis of high-dimensional uniformity tests under heavy-tailed alternatives
Tiefeng Jiang, Tuan Pham
We study the high-dimensional uniformity testing problem, which involves testing whether the underlying distribution is the uniform distribution, given data points on the -d…