Results 31 to 40 of about 21,194 (269)
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 ...
J. M. Landsberg, Mateusz Michalek
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Tensor local linear embedding with global subspace projection optimisation
IET Computer Vision, 2022 In this paper, a novel tensor dimensionality reduction (TDR) approach is proposed, which maintains the local geometric structure of tensor data by tensor local linear embedding and explores the global feature by optimising global subspace projection ...
Guo Niu, Zhengming Ma
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CoRR, 2018 The tensor-tensor product (t-product) [M. E. Kilmer and C. D. Martin, 2011] is a natural generalization of matrix multiplication. Based on t-product, many operations on matrix can be extended to tensor cases, including tensor SVD, tensor spectral norm, tensor nuclear norm [C. Lu, et al., 2018] and many others.
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Decomposable Sparse Tensor on Tensor Regression
CoRR, 2022 Most regularized tensor regression research focuses on tensors predictors with scalars responses or vectors predictors to tensors responses. We consider the sparse low rank tensor on tensor regression where predictors $\mathcal{X}$ and responses $\mathcal{Y}$ are both high-dimensional tensors.
Haiyi Mao, Jason Xiaotian Dou
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Principle of objectivity and classical physics
International Journal of Mathematics and Mathematical Sciences, 1979 In literature, it is generally asserted that the principle of objectivity is valid for constitutive equations but not valid for general field equations.
M. Dutta, U. Basu
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$SDD_1$ tensors and $B_1$-tensors
The Electronic Journal of Linear AlgebraStrong $\mathcal{H}$-tensors play an important role in the fields of science and engineering. In this paper, we first propose a new subclass of strong $\mathcal{H}$-tensors that we call the class of $SDD_1$ tensors. We also prove that if a tensor is an $SDD_1$ tensor, it is a strong $\mathcal{H}$-tensor. As an application, a sufficient condition for an
Weiting Duan, Dekun Wen, Yaqiang Wang
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Bounds for the M-spectral radius of a fourth-order partially symmetric tensor
Journal of Inequalities and Applications, 2018 M-eigenvalues of fourth-order partially symmetric tensors play an important role in many real fields such as quantum entanglement and nonlinear elastic materials analysis.
Suhua Li, Yaotang Li
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Introduction The use of herbal medical preparation (HMP) is rising among pediatric oncology patients, often to manage treatment‐related symptoms. Their effectiveness remains uncertain, and the risk of herb–drug interactions is underestimated.
Orianne Mahot +6 more
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MathematicsThe quest to multiply two large matrices as fast as possible is one that has already intrigued researchers for several decades. However, the ‘optimal’ algorithm for a certain problem size is still not known.
Charlotte Vermeylen +3 more
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Une machine à tenseurs TT sur les variétés d’Einstein
Comptes Rendus. Mathématique, 2023 In all dimensions $n \ge 3$, we introduce a differential operator of order 4 which, on Einstein manifolds, transforms the (fields of) trace free symmetric two tensors into TT-tensors.
Delay, Erwann
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