Results 31 to 40 of about 20,851 (269)
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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$SDD_1$ 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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Source separation and localisation via tensor decomposition for distributed arrays
The Journal of Engineering, 2019 This study focuses on the problem of power spectra separation and localisation of multiple sources using distributed arrays. First, the array structure and signal model are discussed. By cross-correlating the multi-channel received signals in time-domain,
Yuanbing Cheng, Yapeng He
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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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FEBS Letters, EarlyView.Mitochondrial remodeling shapes neural and glial lineage progression by matching metabolic supply with demand. Elevated OXPHOS supports differentiation and myelin formation, while myelin compaction lowers mitochondrial dependence, revealing mitochondria as key drivers of developmental energy adaptation.
Sahitya Ranjan Biswas +3 more
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On the theory of fourth-rank hemitropic tensors in three-dimensional Euclidean spaces
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2022 The paper is devoted to problems concerning the tensors with constant components, hemitropic tensors and pseudotensors that are of interest from the point of view of micropolar continuum mechanics. The properties and coordinate representations of tensors
Eugenii V. Murashkin, Yuri N. Radayev
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FEBS Letters, EarlyView.Plasma membranes contain dynamic nanoscale domains that organize lipids and receptors. Because viruses operate at similar scales, this architecture shapes early infection steps, including attachment, receptor engagement, and entry. Using influenza A virus and HIV‐1 as examples, we highlight how receptor nanoclusters, multivalent glycan interactions ...
Jan Schlegel, Christian Sieben
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Tensor Algebras in Finite Tensor Categories [PDF]
International Mathematics Research Notices, 2019 Abstract This paper introduces methods for classifying actions of finite-dimensional Hopf algebras on path algebras of quivers and more generally on tensor algebras $T_B(V)$ where $B$ is semisimple. We work within the broader framework of finite (multi-)tensor categories $\mathcal{C}$, classifying tensor algebras in $\mathcal{C}$ in ...
Etingof, Pavel +2 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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