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1. Full Text Minimal subspace rotation on the Stiefel manifold for stabilization and enhancement of projection-based reduced order models for the compressible Navier–Stokes equations
by Balajewicz, Maciej and Tezaur, Irina and Dowell, Earl and Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Journal of computational physics, ISSN 0021-9991, 09/2016, Volume 321, Issue C, pp. 224 - 241
Projection-based reduced order model (ROM) | Stabilization | Stiefel manifold | Trace minimization | Proper Orthogonal Decomposition (POD) | Compressible flow | Physical Sciences | Computer Science, Interdisciplinary Applications | Technology | Physics, Mathematical | Computer Science | Physics | Science & Technology | Turbulence | Models | Mechanical engineering | Analysis | Aerospace engineering | trace minimization | stabilization | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | projection-based reduced order model (ROM) | compressible flow
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2. Full Text Projection-like retractions on matrix manifolds
by Absil, P.-A and Malick, J́er̂ome
SIAM journal on optimization, ISSN 1052-6234, 2012, Volume 22, Issue 1, pp. 135 - 158
Retraction | Spectral manifold | Equality-constrained optimization | Stiefel manifold | Projection | Feasible optimization method | Fixed-rank matrices | Matrix manifold | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Optimization and Control
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3. Full Text Low-rank nonnegative matrix factorization on Stiefel manifold
by He, Ping and Xu, Xiaohua and Ding, Jie and Fan, Baichuan
Information sciences, ISSN 0020-0255, 04/2020, Volume 514, pp. 131 - 148
Orthogonal constraints | Graph smoothness | Nonnegative matrix factorization | Stiefel manifold | Low rank | Computer Science, Information Systems | Technology | Computer Science | Science & Technology | Computer science | Algorithms
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4. Full Text Predictive Quantization on the Stiefel Manifold
by Schwarz, Stefan and Rupp, Markus
IEEE signal processing letters, ISSN 1070-9908, 02/2015, Volume 22, Issue 2, pp. 234 - 238
Manifolds | Quantization (signal) | Transmitters | Grassmann manifold | Adaptive quantization | Stiefel manifold | Signal processing algorithms | Receiving antennas | multi-user MIMO | limited feedback | MIMO | Signal to noise ratio | Engineering, Electrical & Electronic | Engineering | Technology | Science & Technology | Feedback | Quantization | Blocking | Counters | Representations | Channels | Gain
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5. Full Text Advances in matrix manifolds for computer vision
by Lui, Yui Man
Image and vision computing, ISSN 0262-8856, 06/2012, Volume 30, Issue 6-7, pp. 380 - 388
Riemannian manifolds | Stiefel manifolds | Grassmann manifolds | Lie groups | Engineering | Physical Sciences | Technology | Computer Science | Engineering, Electrical & Electronic | Computer Science, Artificial Intelligence | Computer Science, Theory & Methods | Optics | Computer Science, Software Engineering | Science & Technology
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6. Full Text Statistics on the stiefel manifold: Theory and applications
by Chakraborty, Rudrasis and Vemuri, Baba C
The Annals of statistics, ISSN 0090-5364, 02/2019, Volume 47, Issue 1, pp. 415 - 438
Gaussian distribution | Homogeneous space | Fréchet mean | Stiefel manifold | Statistics & Probability | Physical Sciences | Mathematics | Science & Technology | Parameter estimation | Statistical analysis | Image processing | Probability distribution | Statistical methods | Statistics | Manifolds (mathematics) | Numerical analysis | Normal distribution | Samples | Machine learning | Signal processing | Maximum likelihood estimates | Artificial intelligence | Image processing systems
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7. Full Text Geodesic Monte Carlo on Embedded Manifolds
by SIMON BYRNE and MARK GIROLAMI
Scandinavian journal of statistics, ISSN 0303-6898, 12/2013, Volume 40, Issue 4, pp. 825 - 845
geodesic, Hamiltonian Monte Carlo | Riemannian manifold | Stiefel manifold | directional statistics | Directional statistics | Geodesic, Hamiltonian Monte Carlo | Statistics & Probability | Physical Sciences | Mathematics | Science & Technology | Monte Carlo method | Studies | Probability | Statistical methods | Statistical analysis | Markov analysis | Monte Carlo simulation | Hyperspheres | Manifolds | Monte Carlo methods | Computer simulation | Mathematical analysis | Markov chains | Representations | Statistics | Statistics - Computation | Original
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8. Full Text BAYESIAN NONPARAMETRIC INFERENCE ON THE STIEFEL MANIFOLD
by Lizhen Lin and Vinayak Rao and David Dunson
Statistica Sinica, ISSN 1017-0405, 4/2017, Volume 27, Issue 2, pp. 535 - 553
Von Mises Fisher | Kernel mixture | Matrix Langevin | Posterior consistency | Stiefel manifold | Orthonormal matrices | Bayesian nonparametric | Statistics & Probability | Physical Sciences | Mathematics | Science & Technology
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9. Full Text An unconstrained H 2 model order reduction optimisation algorithm based on the Stiefel manifold for bilinear systems
by Xu, Kang-Li and Jiang, Yao-Lin
International journal of control, ISSN 0020-7179, 04/2019, Volume 92, Issue 4, pp. 950 - 959
the Stiefel manifold | Riemannian metric | model order reduction | cost function | Bilinear systems | controllability and observability gramians | norm | Technology | Automation & Control Systems | Science & Technology | Euclidean geometry | Algorithms | Cost function | Iterative algorithms | Euclidean space | Model reduction | Iterative methods | Orthogonality | Manifolds (mathematics) | Optimization | System effectiveness
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10. Full Text Reconstruction of jointly sparse vectors via manifold optimization
by Petrosyan, Armenak and Tran, Hoang and Webster, Clayton
Applied numerical mathematics, ISSN 0168-9274, 10/2019, Volume 144, Issue C, pp. 140 - 150
Joint sparsity | Non-compact Stiefel manifold | Non-convex optimization | Manifold optimization | Huber regularization | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Algorithms
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11. Full Text Homogeneous Einstein metrics on Stiefel manifolds associated to flag manifolds with two isotropy summands
by Arvanitoyeorgos, Andreas and Sakane, Yusuke and Statha, Marina
Journal of symbolic computation, ISSN 0747-7171, 11/2020, Volume 101, pp. 189 - 201
Generalized flag manifold | Isotropy representation | Einstein metric | Homogeneous space | Gröbner basis | Stiefel manifold | Physical Sciences | Technology | Computer Science | Computer Science, Theory & Methods | Mathematics | Mathematics, Applied | Science & Technology | Mathematics - Differential Geometry
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12. Full Text A framework of constraint preserving update schemes for optimization on Stiefel manifold
by Jiang, Bo and Jiang, Bo and Dai, Yu-Hong and Dai, Yu-Hong
Mathematical programming, ISSN 0025-5610, 11/2015, Volume 153, Issue 2, pp. 535 - 575
Heterogeneous quadratic functions | 65K05 | Sphere constraint | Theoretical, Mathematical and Computational Physics | Null space | Mathematics | Range space | Barzilai–Borwein-like method | Kohn–Sham total energy minimization | Adaptive nonmonotone line search | Orthogonality constraint | Feasible | Mathematical Methods in Physics | 90C30 | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Stiefel manifold | Numerical Analysis | 49Q99 | Combinatorics | Low-rank correlation matrix | Operations Research & Management Science | Physical Sciences | Technology | Computer Science | Computer Science, Software Engineering | Mathematics, Applied | Science & Technology | Studies | Optimization | Mathematical programming | Correlation | Energy conservation | Searching | Minimization | Mathematical models | Manifolds (mathematics) | Preserving
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13. Full Text Manifold properties of planar polygon spaces
by Davis, Donald M
Topology and its applications, ISSN 0166-8641, 12/2018, Volume 250, pp. 27 - 36
Parallelizability | Tangent bundle | Stiefel–Whitney classes | Polygon spaces | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
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