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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Príomhchruthaitheoirí: Lim, U, Oberhauser, H, Nanda, V
Formáid: Journal article
Teanga:English
Foilsithe / Cruthaithe: Society for Industrial and Applied Mathematics 2024

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