Manifold Fitting in Ambient Space. (arXiv:1909.13492v2 [stat.ML] UPDATED)

Modern sample points in many applications no longer comprise real vectors in
a real vector space but sample points of much more complex structures, which
may be represented as points in a space with a certain underlying geometric
structure, namely a manifold. Manifold learning is an emerging field for
learning the underlying structure. The study of manifold learning can be split
into two main branches: dimension reduction and manifold fitting. With the aim
of combining statistics and geometry, we address …

ambient arxiv manifold ml space