Results 11 to 20 of about 914,477 (196)
Regularly Decomposable Tensors and Classical Spin States [PDF]
, 2017 A spin-$j$ state can be represented by a symmetric tensor of order $N=2j$ and dimension $4$. Here, $j$ can be a positive integer, which corresponds to a boson; $j$ can also be a positive half-integer, which corresponds to a fermion.
Bohnet-Waldraff, Fabian +4 more
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Tensor factorization via transformed tensor-tensor product for image alignment
Numerical Algorithms, 2023 In this paper, we study the problem of a batch of linearly correlated image alignment, where the observed images are deformed by some unknown domain transformations, and corrupted by additive Gaussian noise and sparse noise simultaneously. By stacking these images as the frontal slices of a third-order tensor, we propose to utilize the tensor ...
Xia, Sijia, Qiu, Duo, Zhang, Xiongjun
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Threshold Analysis of Request Degradation in the Computer Network
Моделирование и анализ информационных систем, 2019 In this paper, the existing approaches to the assessment of computer networks performance are considered. The standard structure of a network of the application layer of the OSI model using the example of SBIS3 application (product of Tensor Company) is ...
Vasilii P. Kirnos
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Hyperspectral Image Dimension Reduction Using Weight Modified Tensor-Patch-Based Methods
IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 2020 Dimension reduction (DR) addresses the problem known as the curse of dimensionality in myriad hyperspectral imagery applications. Although the spatial pattern may assist in the distinction between different land covers that have close spectral signatures,
Boyu Feng, Jinfei Wang
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Proceedings of the Edinburgh Mathematical Society, 1957 A form of integration of tensors will be introduced here, which will preserve the character of a tensor when so integrated.
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Journal de Mathématiques Pures et Appliquées, 2017 We analyze tensors in the tensor product of three m-dimensional vector spaces satisfying Strassen's equations for border rank m. Results include: two purely geometric characterizations of the Coppersmith-Winograd tensor, a reduction to the study of symmetric tensors under a mild genericity hypothesis, and numerous additional equations and examples ...
Landsberg, J. M., Michałek, Mateusz
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New electromagnetic conservation laws [PDF]
, 2003 The Chevreton superenergy tensor was introduced in 1964 as a counterpart, for electromagnetic fields, of the well-known Bel-Robinson tensor of the gravitational field.
Bergqvist, G. +2 more
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A note on the gap between rank and border rank [PDF]
, 2017 We study the tensor rank of the tensor corresponding to the algebra of n-variate complex polynomials modulo the dth power of each variable. As a result we find a sequence of tensors with a large gap between rank and border rank, and thus a counterexample
Zuiddam, Jeroen
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Symmetric Tensors and Symmetric Tensor Rank [PDF]
SIAM Journal on Matrix Analysis and Applications, 2008 To appear in the SIAM Journal on Matrix Analysis and ...
Comon, Pierre +3 more
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A constructive arbitrary-degree Kronecker product decomposition of tensors [PDF]
, 2016 We propose the tensor Kronecker product singular value decomposition~(TKPSVD) that decomposes a real $k$-way tensor $\mathcal{A}$ into a linear combination of tensor Kronecker products with an arbitrary number of $d$ factors $\mathcal{A} = \sum_{j=1}^R ...
Batselier, Kim, Wong, Ngai
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