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...

Полное описание

Библиографические подробности
Главные авторы:	Lim, U, Oberhauser, H, Nanda, V
Формат:	Journal article
Язык:	English
Опубликовано:	Society for Industrial and Applied Mathematics 2024

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