Schubert Varieties and Distances between Subspaces of Different Dimensions
From MaRDI portal
Publication:2818272
DOI10.1137/15M1054201zbMath1365.14065arXiv1407.0900OpenAlexW2963346868MaRDI QIDQ2818272
Publication date: 7 September 2016
Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1407.0900
Schubert varietyflag varietyGrassmanniandistances between inequidimensional subspacesprobability densities on Grassmannian
Grassmannians, Schubert varieties, flag manifolds (14M15) Distance geometry (51K99) Eigenvalues, singular values, and eigenvectors (15A18) Configurations and arrangements of linear subspaces (14N20)
Related Items (21)
On the stability of POD basis interpolation on Grassmann manifolds for parametric model order reduction ⋮ Grassmannian Diffusion Maps--Based Dimension Reduction and Classification for High-Dimensional Data ⋮ Uncertainty quantification for complex systems with very high dimensional response using Grassmann manifold variations ⋮ On the continuity of the tangent cone to the determinantal variety ⋮ Covariate‐driven factorization by thresholding for multiblock data ⋮ Distance problems in the behavioral setting ⋮ The condition number of singular subspaces, revisited ⋮ The Gaussian kernel on the circle and spaces that admit isometric embeddings of the circle ⋮ A Grassmann manifold handbook: basic geometry and computational aspects ⋮ Determinantal probability measures on Grassmannians ⋮ Randomized Subspace Iteration: Analysis of Canonical Angles and Unitarily Invariant Norms ⋮ Sketching for Principal Component Regression ⋮ Numerical Algorithms on the Affine Grassmannian ⋮ Geometric Metrics for Topological Representations ⋮ Blade products and angles between subspaces ⋮ Data-driven surrogates for high dimensional models using Gaussian process regression on the Grassmann manifold ⋮ The Grassmannian of affine subspaces ⋮ On a minimum enclosing ball of a collection of linear subspaces ⋮ Nonnegative tensor-based linear dynamical systems for recognizing human action from 3D skeletons ⋮ A Recursive Eigenspace Computation for the Canonical Polyadic Decomposition ⋮ Gaussian Process Subspace Prediction for Model Reduction
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- SSA of biomedical signals: a linear invariant systems approach
- Robust recovery of multiple subspaces by geometric \(l_{p}\) minimization
- Further results on the subspace distance
- Grassmannian frames with applications to coding and communication
- Riemannian geometry of Grassmann manifolds with a view on algorithmic computation
- Perturbation theory for linear operators.
- Subspace distance analysis with application to adaptive Bayesian algorithm for face recognition
- A flag representation for finite collections of subspaces of mixed dimensions
- On infinite-dimensional Grassmannians and their quantum deformations
- A Grassmann--Rayleigh Quotient Iteration for Computing Invariant Subspaces
- Estimation of Subspace Arrangements with Applications in Modeling and Segmenting Mixed Data
- Constructing Packings in Grassmannian Manifolds via Alternating Projection
- Grassmannian beamforming for multiple-input multiple-output wireless systems
- Semantic Spaces: Measuring the Distance between Different Subspaces
- Characteristic Classes. (AM-76)
- The Geometry of Algorithms with Orthogonality Constraints
- Communication on the Grassmann manifold: a geometric approach to the noncoherent multiple-antenna channel
- Bounds on packings of spheres in the Grassmann manifold
- Packing Lines, Planes, etc.: Packings in Grassmannian Spaces
- Numerical Methods for Computing Angles Between Linear Subspaces
- Grassmannian Packings From Operator Reed–Muller Codes
- Convergence of Polynomial Restart Krylov Methods for Eigenvalue Computations
- Majorization for Changes in Angles Between Subspaces, Ritz Values, and Graph Laplacian Spectra
- DIFFERENTIAL GEOMETRY OF GRASSMANN MANIFOLDS
- Encyclopedia of Distances
This page was built for publication: Schubert Varieties and Distances between Subspaces of Different Dimensions
