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...

ver descrição completa

Detalhes bibliográficos
Principais autores: Lim, U, Oberhauser, H, Nanda, V
Formato: Journal article
Idioma:English
Publicado em: Society for Industrial and Applied Mathematics 2024

Registros relacionados