Curvature of the Manifold of Fixed-Rank Positive-Semidefinite Matrices Endowed with the Bures-Wasserstein Metric.
Estelle M. MassartJulien M. HendrickxPierre-Antoine AbsilPublished in: GSI (2019)
Keyphrases
- positive semidefinite matrices
- embedding space
- euclidean space
- manifold learning
- low dimensional
- graph embedding
- dimensionality reduction
- geometric structure
- geodesic distance
- high dimensional
- data points
- input space
- nonlinear dimensionality reduction
- euclidean distance
- metric space
- vector space
- complementarity problems
- feature space
- positive semidefinite
- locally linear embedding
- riemannian manifolds
- pointwise
- high dimensional data
- manifold structure
- graph laplacian
- semi supervised
- higher dimensional
- shape space
- feature selection
- shape analysis
- distance metric
- similarity search