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...

書誌詳細
主要な著者:	Lim, U, Oberhauser, H, Nanda, V
フォーマット:	Journal article
言語:	English
出版事項:	Society for Industrial and Applied Mathematics 2024

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