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...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
Society for Industrial and Applied Mathematics
2024
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Tangent space and dimension estimation with the Wasserstein distance
Published 2021
Internet publication