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Linear Algebra and Its Applications, ISSN 0024-3795, 10/2013, Volume 439, Issue 8, pp. 2350 - 2366
We study a general product of two n-dimensional tensors A and B with orders m⩾2 and k⩾1. This product satisfies the associative law, and is a generalization of... 
Hypergraph | Direct product | Nonnegative tensor | Tensor | Primitive tensor | Characteristic polynomial | Eigenvalue | Product | MATHEMATICS | MATHEMATICS, APPLIED | LARGEST EIGENVALUE | PERRON-FROBENIUS THEOREM
Journal Article
Journal of Algebra, ISSN 0021-8693, 11/2019
Journal Article
Journal of Inequalities and Applications, ISSN 1029-242X, 12/2019, Volume 2019, Issue 1, pp. 1 - 17
To construct dual frames with good structure for a given frame is a fundamental problem in the theory of frames. The tensor product duals of tensor product... 
47A80 | Dual frame | Frame | 41A58 | Analysis | Tensor product frame | Mathematics, general | Mathematics | Applications of Mathematics | 42C15 | MATHEMATICS | MATHEMATICS, APPLIED | Frames | Tensors | Hilbert space | Mathematical analysis
Journal Article
PHYSICAL REVIEW LETTERS, ISSN 0031-9007, 09/2019, Volume 123, Issue 10, p. 100502
Journal Article
Annals of Physics, ISSN 0003-4916, 03/2017, Volume 378, pp. 183 - 233
Quantum tensor network states and more particularly projected entangled-pair states provide a natural framework for representing ground states of gapped,... 
Matrix product operators | Topological order | Anyons | Entanglement | Tensor networks | Fusion category | PHASES | PARTICLES | PHYSICS, MULTIDISCIPLINARY | STATISTICS | QUANTUM | SUBFACTORS | CLASSIFICATION | ENTANGLED PAIR STATES | TRANSFORMATIONS | RENORMALIZATION | Algebra
Journal Article
Annals of Physics, ISSN 0003-4916, 10/2014, Volume 349, pp. 117 - 158
This is a partly non-technical introduction to selected topics on tensor network methods, based on several lectures and introductory seminars given on the... 
MPS | Entanglement | Tensor networks | PEPS | RENORMALIZATION-GROUP | PHYSICS, MULTIDISCIPLINARY | FLOW-EQUATIONS | QUANTUM | ALGORITHM | CHAIN | GAUGE-THEORY | SYSTEMS | LATTICE | Quantum physics | Numerical analysis | Networks | Tensors | Mathematical analysis | Lattices | Mathematical models | Lectures | TENSORS | QUANTUM ENTANGLEMENT | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | PAIRING INTERACTIONS
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 2000, Volume 123, Issue 1, pp. 85 - 100
The Kronecker product has a rich and very pleasing algebra that supports a wide range of fast, elegant, and practical algorithms. Several trends in scientific... 
HIGHER-ORDER STATISTICS | MATHEMATICS, APPLIED | MATRIX EIGENVALUE PROBLEMS | LEAST-SQUARES PROBLEMS | IMAGES | TENSOR PRODUCT | TRANSFORM | ALGORITHMS | EQUATION | VOLTERRA FILTERS
Journal Article
Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN 1550-7998, 11/2012, Volume 86, Issue 10
We clarify questions related to the convergence of the operator product expansion and conformal block decomposition in unitary conformal field theories (for... 
INVARIANCE | VACUUM | TENSOR | ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS
Journal Article
IEEE Transactions on Pattern Analysis and Machine Intelligence, ISSN 0162-8828, 01/2013, Volume 35, Issue 1, pp. 28 - 38
Journal Article
Transactions of the American Mathematical Society, ISSN 0002-9947, 04/2019, Volume 371, Issue 4, pp. 2963 - 2985
We show that the configuration spaces of a product of parallelizable manifolds may be recovered from those of the factors as the Boardman-Vogt tensor product... 
OPERADS | MATHEMATICS | TENSOR PRODUCT | HOMOLOGY
Journal Article
Complex Analysis and Operator Theory, ISSN 1661-8254, 10/2016, Volume 10, Issue 7, pp. 1411 - 1426
In Advances in Mathematical Physics (2011) we showed that the weighted shift $$z^{p}\frac{d^{p+1}}{dz^{p+1}} (p=0, 1, 2,\ldots )$$ z p d p + 1 d z p + 1 ( p =... 
Weighted shift unbounded operators | Chaotic operators | Operator Theory | Fock–Bargmann spaces | Tensor product operators | 47B36 | 47B37 | Analysis | Mathematics, general | Mathematics | MATHEMATICS | CHAOS | MATHEMATICS, APPLIED | HYPERCYCLIC OPERATORS | Fock-Bargmann spaces | Bisphenol-A
Journal Article
Image and Vision Computing, ISSN 0262-8856, 11/2018, Volume 79, pp. 1 - 10
As the object retrieval problem cannot be well solved by pairwise distances, many algorithms have been developed for visual re-ranking as the post-processing... 
Diffusion process | Hybrid fitting constraint | Mean first-passage time | Contextual dissimilarity | Tensor product graph | COMPUTER SCIENCE, SOFTWARE ENGINEERING | DIFFUSION | COMPUTER SCIENCE, THEORY & METHODS | OPTICS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | ENGINEERING, ELECTRICAL & ELECTRONIC
Journal Article
NEURAL COMPUTATION, ISSN 1530-888X, 07/2019, Volume 31, Issue 7, pp. 1499 - 1517
Interest in quantum computing has increased significantly. Tensor network theory has become increasingly popular and widely used to simulate strongly entangled... 
REFERENCE EVAPOTRANSPIRATION | NEUROSCIENCES | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | Classifiers | Computer simulation | Quantum computers | Quantum phenomena | Quantum computing | Tensors | Mathematical analysis | Coding | Data sets | Classification | Machine learning | Evapotranspiration | Performance measurement
Journal Article
Journal of Inequalities and Applications, ISSN 1025-5834, 12/2017, Volume 2017, Issue 1, pp. 1 - 14
Journal Article
International Journal of Quantum Chemistry, ISSN 0020-7608, 10/2015, Volume 115, Issue 19, pp. 1342 - 1391
Journal Article