On the Injectivity Radius of the Stiefel Manifold: Numerical investigations and an explicit construction of a cut point at short distance.
Jakob StoyeRalf ZimmermannPublished in: CoRR (2024)
Keyphrases
- euclidean space
- euclidean distance
- geodesic distance
- distance function
- shortest distance
- high dimensional
- riemannian manifolds
- distance measure
- distance metric
- sensitivity analysis
- distance transform
- numerical methods
- closest point
- vector space
- manifold learning
- low dimensional
- relative position
- knn
- construction process
- sample points
- finite difference
- nonlinear dimensionality reduction
- face recognition