Tangent space and dimension estimation with the Wasserstein distance

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...

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Үндсэн зохиолчид: Lim, U, Oberhauser, H, Nanda, V
Формат: Journal article
Хэл сонгох:English
Хэвлэсэн: Society for Industrial and Applied Mathematics 2024

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