A geometrically motivated parametric model in manifold estimation
A geometrically motivated parametric model in manifold estimation
The general aim of manifold estimation is reconstructing, by statistical methods, an m-dimensional compact manifold S on d (with m≤d) or estimating some relevant quantities related to the geometric properties of S. Focussing on the cases d=2 and d=3, with m=d or m=d−1, we will assume that the data are …