High curvature means low-rank: On the sectional curvature of Grassmann and Stiefel manifolds and the underlying matrix trace inequalities.
Ralf ZimmermannJakob StoyePublished in: CoRR (2024)
Keyphrases
- low rank
- high curvature
- euclidean space
- high dimensional data
- missing data
- matrix factorization
- convex optimization
- linear combination
- low rank matrix
- singular value decomposition
- riemannian manifolds
- matrix completion
- matrix decomposition
- rank minimization
- object boundaries
- semi supervised
- trace norm
- high order
- factorization methods
- manifold learning
- kernel matrix
- singular values
- data matrix
- low rank matrices
- low rank approximation
- low dimensional
- affinity matrix
- data sets
- shape analysis
- data points
- low rank and sparse
- active contours
- d objects
- active learning
- high dimensional
- data analysis
- three dimensional
- image segmentation