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IEEE Transactions on Signal Processing, ISSN 1053-587X, 03/2001, Volume 49, Issue 3, pp. 457 - 469
This paper provides a unified view of, and a further insight into, a class of optimal reduced-rank estimators and filters. An alternating power (AP) method for... 
Wireless communication | Maximum likelihood estimation | Wiener filter | Filtering | Neural networks | Delay estimation | Signal processing | Vectors | Power system modeling | Multi-layer neural network | SVD | Reduced-rank estimators | Reduced-rank filters | Reduced-rank Wiener filter | Reduced-rank channel equalization | Rank reduction | Reduced-rank channel identification | Reduced-rank multilayer neural network | Reduced-rank maximum likelihood estimation | Alternating power method | Power method | Rank estimation | reduced-rank channel identification | reduced-rank Wiener filter | CAPACITY | rank estimation | power method | APPROXIMATION | reduced-rank estimators | reduced-rank filters | reduced-rank maximum likelihood estimation | alternating power method | NETWORKS | IDENTIFICATION | rank reduction | FAST SUBSPACE TRACKING | ENGINEERING, ELECTRICAL & ELECTRONIC | reduced-rank multilayer neural network | reduced-rank channel equalization | KARHUNEN-LOEVE TRANSFORM | Filtering (Electronics) | Research | Studies | Reduction | Computation | Receivers | Mathematical models | Computational efficiency | Estimators | Optimization | alternating power method; power method; rank estimation; rank reduction; reduced-rank channel equalization; reduced-rank channel identification; reduced-rank estimators; reduced-rank filters; reduced-rank maximum likelihood estimation; reduced-rank multil
Journal Article
The New England Journal of Medicine, ISSN 0028-4793, 08/2009, Volume 361, Issue 8, pp. 745 - 755
Men receiving androgen-deprivation therapy for nonmetastatic prostate cancer are at high risk for bone loss and fractures. This placebo-controlled study... 
ZOLEDRONIC ACID | MEDICINE, GENERAL & INTERNAL | PLACEBO | BONE-MINERAL DENSITY | FRACTURES | RISK | COMPLICATIONS | RANDOMIZED CONTROLLED-TRIAL | POSTMENOPAUSAL WOMEN | OSTEOPOROSIS | ALENDRONATE | Lumbar Vertebrae - injuries | Humans | Middle Aged | Antibodies, Monoclonal - adverse effects | Fractures, Bone - epidemiology | Antibodies, Monoclonal - therapeutic use | Male | Osteoporosis - drug therapy | Prostatic Neoplasms - physiopathology | Bone Remodeling - drug effects | Incidence | Antibodies, Monoclonal, Humanized | Spinal Fractures - prevention & control | RANK Ligand - pharmacology | Injections, Subcutaneous | Aged, 80 and over | RANK Ligand - therapeutic use | Gonadotropin-Releasing Hormone - agonists | Lumbar Vertebrae - physiology | Prostatic Neoplasms - drug therapy | RANK Ligand - adverse effects | Osteoporosis - chemically induced | Bone Density Conservation Agents - adverse effects | Double-Blind Method | Prostatic Neoplasms - surgery | Antibodies, Monoclonal - pharmacology | Spinal Fractures - epidemiology | Bone Density Conservation Agents - therapeutic use | Lumbar Vertebrae - drug effects | Denosumab | Bone Density Conservation Agents - pharmacology | Orchiectomy | Bone Density - drug effects | Androgen Antagonists - therapeutic use | Aged | Androgen Antagonists - adverse effects | Fractures, Bone - prevention & control | Osteoporosis | Bone density | Prostate cancer | Older people | Men | Index Medicus | Abridged Index Medicus
Journal Article
Journal of Bone and Mineral Research, ISSN 0884-0431, 02/2009, Volume 24, Issue 2, pp. 182 - 195
Journal Article
Journal of Machine Learning Research, ISSN 1532-4435, 09/2017, Volume 18, pp. 1 - 29
Recently, fundamental conditions on the sampling patterns have been obtained for finite completability of low-rank matrices or tensors given the corresponding... 
Tucker rank | CP rank | Manifold | Matrix | Tensor | Low-rank data completion | Tensor-train rank | Multi-view matrix | Rank estimation | rank estimation | tensor-train rank | multi-view matrix | manifold | tensor | matrix | AUTOMATION & CONTROL SYSTEMS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE
Journal Article
Econometrica, ISSN 0012-9682, 11/2012, Volume 80, Issue 6, pp. 2667 - 2732
Journal Article
01/2019, ISBN 9783038975915
Tensor decomposition is a relevant topic, both for theoretical and applied mathematics, due to its interdisciplinary nature, which ranges from multilinear... 
border rank and typical rank | Rank | Tensor analysis | Complexity
eBook
Journal Article
SIAM Journal on Discrete Mathematics, ISSN 0895-4801, 2017, Volume 31, Issue 4, pp. 2612 - 2625
In this paper we study various versions of extension complexity for polygons through the study of factorization ranks of their slack matrices. In particular,... 
Nonnegative rank | Boolean rank | Semide finite rank | Polygons | MATHEMATICS, APPLIED | semidefinite rank | polygons | boolean rank | POLYTOPES | nonnegative rank | CONE | POSITIVE SEMIDEFINITE RANK
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 09/2016, Volume 505, pp. 344 - 360
We study the real rank of points with respect to a real variety X. This is a generalization of various tensor ranks, where X is in a specific family of real... 
Rank with respect to variety | Tensor | Real rank | Maximal rank | Typical rank | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
Nature, ISSN 0028-0836, 09/2018, Volume 561, Issue 7722, pp. 195 - 200
Journal Article
SIAM Journal on Matrix Analysis and Applications, ISSN 0895-4798, 2016, Volume 37, Issue 4, pp. 1719 - 1728
Comon's Conjecture claims that for a symmetric tensor, its rank and its symmetric rank coincide. We show that this conjecture is true under an additional... 
Rank decomposition | Rank | Tensor | Symmetric rank decomposition | Symmetric rank | symmetric rank decomposition | MATHEMATICS, APPLIED | rank | tensor | rank decomposition | symmetric rank
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 05/2015, Volume 258, pp. 182 - 191
The skew-rank of oriented graph Gσ, denoted by sr(Gσ), is the rank of the skew-adjacency matrix of Gσ. The skew-rank is even since the skew-adjacency matrix is... 
Skew-adjacency matrix | Bicyclic graph | Rank | Skew-rank | Oriented graph | Skew-rank Rank | MAXIMAL ENERGY | MATHEMATICS, APPLIED | MATCHING ENERGY | CONJECTURE
Journal Article
The Journal of Clinical Endocrinology & Metabolism, ISSN 0021-972X, 04/2011, Volume 96, Issue 4, pp. 972 - 980
Journal Article