Tangent space and dimension estimation with the Wasserstein distance

Tangent space and dimension estimation with the Wasserstein distance

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Consider a set of points sampled independently near a smooth compact submanifold of Euclidean space. We provide mathematically rigorous bounds on the number of sample points required to estimate both the dimension and the tangent spaces of that manifold with high confidence. The algorithm for this e...

书目详细资料
Main Authors:	Lim, U, Oberhauser, H, Nanda, V
格式:	Journal article
语言:	English
出版:	Society for Industrial and Applied Mathematics 2024

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