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1976, London Mathematical Society lecture note series, ISBN 9780521213349, Volume 24, viii, 168
Stiefel manifolds are an interesting family of spaces much studied by algebraic topologists. These notes, which originated in a course given at Harvard... 
Stiefel manifolds
Book
1994, Advances in Soviet mathematics, ISBN 9780821841242, Volume 18, xvii, 284
Book
Neurocomputing, ISSN 0925-2312, 06/2018, Volume 295, pp. 72 - 85
In the existing literature, the numerical estimation of multivariate normalizing constant is considered highly non-trivial, intractable or a big barrier to... 
Stiefel manifolds | Grassmann manifolds | SPA | MLE | Classification | Normalization constants | Multivariate Fisher and Bingham distributions | REGRESSION | NEAREST-NEIGHBOR | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | VON MISES-FISHER | MODELS | SADDLEPOINT APPROXIMATIONS | NORMALIZING CONSTANT | Usage | Analysis | Algorithms
Journal Article
IEEE Transactions on Knowledge and Data Engineering, ISSN 1041-4347, 8/2019, pp. 1 - 1
Sparse principal component analysis (SPCA) produces principal components with sparse loadings, which is very important for handling data with many irrelevant... 
Manifolds | Feature selection | Loading | Sparse principal component analysis | Stiefel manifold | Feature extraction | Convex functions | Covariance matrices | ADMM | Optimization | Principal component analysis
Journal Article
IEEE Transactions on Circuits and Systems for Video Technology, ISSN 1051-8215, 10/2018, Volume 28, Issue 10, pp. 2524 - 2536
Journal Article
Image and Vision Computing, ISSN 0262-8856, 06/2012, Volume 30, Issue 6-7, pp. 380 - 388
Journal Article
Annals of Statistics, ISSN 0090-5364, 02/2019, Volume 47, Issue 1, pp. 415 - 438
A Stiefel manifold of the compact type is often encountered in many fields of engineering including, signal and image processing, machine learning, numerical... 
Gaussian distribution | Homogeneous space | Fréchet mean | Stiefel manifold | DISTRIBUTIONS | SPACE | CENTER-OF-MASS | STATISTICS & PROBABILITY | Frechet mean | RIEMANNIAN-MANIFOLDS | UNIQUENESS | GEOMETRY
Journal Article
IEEE Signal Processing Letters, ISSN 1070-9908, 02/2015, Volume 22, Issue 2, pp. 234 - 238
Journal Article
Statistica Sinica, ISSN 1017-0405, 4/2017, Volume 27, Issue 2, pp. 535 - 553
The Stiefel manifold Vp,d is the space of all d × p orthonormal matrices, with the d−1 hypersphere and the space of all orthogonal matrices constituting... 
Von Mises Fisher | Kernel mixture | Matrix Langevin | Posterior consistency | Stiefel manifold | Orthonormal matrices | Bayesian nonparametric | FISHER DISTRIBUTION | BESSEL-FUNCTIONS | MATRIX | kernel mixture | orthonormal matrices | posterior consistency | DENSITY-ESTIMATION | STATISTICS & PROBABILITY | matrix Langevin | von Mises Fisher
Journal Article
Topology and its Applications, ISSN 0166-8641, 12/2018, Volume 250, pp. 27 - 36
We prove that the tangent bundle of a generic space of planar -gons with specified side lengths, identified under isometry, plus a trivial line bundle is... 
Parallelizability | Tangent bundle | Stiefel–Whitney classes | Polygon spaces | MATHEMATICS | Stiefel-Whitney classes | MATHEMATICS, APPLIED
Journal Article
SIAM Journal on Optimization, ISSN 1052-6234, 2012, Volume 22, Issue 1, pp. 135 - 158
Journal Article
Applied Numerical Mathematics, ISSN 0168-9274, 10/2019, Volume 144, Issue C, pp. 140 - 150
In this paper, we consider the challenge of reconstructing jointly sparse vectors from linear measurements. Firstly, we show that by utilizing the rank of the... 
Joint sparsity | Non-compact Stiefel manifold | Non-convex optimization | Manifold optimization | Huber regularization | MATHEMATICS, APPLIED | SIGNAL RECONSTRUCTION | Algorithms
Journal Article
by Xu, KL and Jiang, YL
INTERNATIONAL JOURNAL OF CONTROL, ISSN 0020-7179, 04/2019, Volume 92, Issue 4, pp. 950 - 959
Journal Article
Applied Numerical Mathematics, ISSN 0168-9274, 05/2019, Volume 144, Issue C
In this paper, we consider the challenge of reconstructing jointly sparse vectors from linear measurements. Firstly, we show that by utilizing the rank of the... 
MATHEMATICS AND COMPUTING | Non-compact Stiefel manifold | Non-convex optimization | Manifold optimization | Huber regularization | Joint sparsity
Journal Article
IEEE Transactions on Pattern Analysis and Machine Intelligence, ISSN 0162-8828, 11/2011, Volume 33, Issue 11, pp. 2273 - 2286
Journal Article
Computational Optimization and Applications, ISSN 0926-6003, 03/2019, Volume 72, Issue 2, pp. 293 - 308
When optimizing on a Riemannian manifold, it is important to use an efficient retraction, which maps a point on a tangent space to a point on the manifold. In... 
Retraction | Cholesky QR factorization | Generalized Stiefel manifold | Riemannian optimization | MATHEMATICS, APPLIED | NEWTONS METHOD | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | OPTIMIZATION | ALGORITHMS | RIEMANNIAN-MANIFOLDS | Optimization techniques | Riemann manifold | Maps | Economic impact | Manifolds (mathematics) | Factorization
Journal Article
Journal of the Physical Society of Japan, ISSN 0031-9015, 02/2014, Volume 83, Issue 2, p. 24003
We introduce the manifold correction method to molecular dynamics (MD) simulations with the Nose-Hoover and Nose-Poincare thermostats. The manifold correction... 
EFFICIENT ORBIT INTEGRATION | HIGHLY ECCENTRIC ORBITS | KUSTAANHEIMO-STIEFEL REGULARIZATION | PHYSICS, MULTIDISCIPLINARY | MULTIBARIC-MULTITHERMAL ENSEMBLE | KEPLER ENERGY | REPLICA-EXCHANGE METHOD | MULTICANONICAL ENSEMBLE | MONTE-CARLO SIMULATIONS | TEST PARTICLE METHOD | LENNARD-JONES FLUID
Journal Article
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