Topologically-Informed Atlas Learning
Thomas Cohn,Nikhil Devraj,Odest Chadwicke Jenkins,Thomas Cohn,Nikhil Devraj,Odest Chadwicke Jenkins
We present a new technique that enables manifold learning to accurately embed data manifolds that contain holes, without discarding any topological information. Manifold learning aims to embed high-dimensional data into a lower dimensional Euclidean space by learning a coordinate chart, but it requires that the entire manifold can be embedded in a single chart. This is impossible for manifolds wit...
