Stability and Minimax Optimality of Tangential Delaunay Complexes for Manifold Reconstruction

Eddie Aamari, Clément Levrard

We consider the problem of optimality in manifold reconstruction. A random sample ${\mathbb{X}}_n=\left\{X_1,\dots ,X_n\right\}\subset {\mathbb{R}}^D$ composed of points close to a $…