Web: http://arxiv.org/abs/2205.02043

May 5, 2022, 1:10 a.m. | Jie Wang, Minshuo Chen, Tuo Zhao, Wenjing Liao, Yao Xie

stat.ML updates on arXiv.org arxiv.org

Two-sample tests are important areas aiming to determine whether two
collections of observations follow the same distribution or not. We propose
two-sample tests based on integral probability metric (IPM) for
high-dimensional samples supported on a low-dimensional manifold. We
characterize the properties of proposed tests with respect to the number of
samples $n$ and the structure of the manifold with intrinsic dimension $d$.
When an atlas is given, we propose two-step test to identify the difference
between general distributions, which achieves …

arxiv manifold ml networks neural neural networks probability study test

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