Results 231 to 240 of about 21,194 (269)

Eshelby Tensor as a Tensor of Free Enthalpy

Journal of Elasticity, 2003
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Buratti, Giovanni, Huo, Yongzhong, Müller, Ingo   +2 more
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Tensor Operator Methods and the Tensor Force

Physical Review, 1956
Tensor operator methods are applied to find the matrix elements of the two-nucleon tensor force between states of two inequivalent nucleons in $\mathrm{LS}$ coupling. The results are used to obtain the direct and exchange terms arising from a tensor-force interaction between states of a shell closed except for a single vacancy and external inequivalent
Hope, J., Longdon, L. W.
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Smooth Tensor Product for Tensor Completion

IEEE Transactions on Image Processing
Low-rank tensor completion (LRTC) has shown promise in processing incomplete visual data, yet it often overlooks the inherent local smooth structures in images and videos. Recent advances in LRTC, integrating total variation regularization to capitalize on the local smoothness, have yielded notable improvements.
Tongle Wu, Jicong Fan 0001
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Tensor SOM and tensor GTM: Nonlinear tensor analysis by topographic mappings

Neural Networks, 2016
In this paper, we propose nonlinear tensor analysis methods: the tensor self-organizing map (TSOM) and the tensor generative topographic mapping (TGTM). TSOM is a straightforward extension of the self-organizing map from high-dimensional data to tensorial data, and TGTM is an extension of the generative topographic map, which provides a theoretical ...
Tohru Iwasaki, Tetsuo Furukawa
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The Derivation of Tensors from Tensor Functions

American Journal of Mathematics, 1931
Einfaches Nachrechnen ergibt den Satz: gegeben sei ein Tensor (bzw. eine Invariante) als Funktion eines zweiten Tensors. Differenziert man seine Komponenten nach denjenigen des unabhängigen, so erhält man wiederum einen Tensor, und zwar ergibt die Differentiation nach einem kovarianten Index einen neuen kontravarianten Index und umgekehrt.
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On Tensor-Train Ranks of Tensorized Polynomials

2020
Discretization followed by tensorization (mapping from low-dimensional to high-dimensional data) can be used to construct low-parametric approximations of functions. For example, a function f defined on [0, 1] may be mapped to a d-dimensional tensor \(A \in \mathbb {R}^{b\times \dots \times b}\) with elements \(A(i_1,\dots ,i_d) = f(i_1b^{-1} + \dots +
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QN-tensor and tensor complementarity problem

Optimization Letters, 2022
Ge Li 0004, Jicheng Li
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Sparse tensor storage by tensor unfolding

Proceedings of the 37th ACM/SIGAPP Symposium on Applied Computing, 2022
K. M. Azharul Hasan, Md. Safayet Hossain
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Summarizing Fuzzy Tensors with Sub-Tensors

Proceedings of the 38th ACM/SIGAPP Symposium on Applied Computing, 2023
Victor Henrique Silva Ribeiro, Loïc Cerf   +1 more
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Foundations of Tensor Analysis – Tensor Algebra and Tensor Calculus

2011
Continuum mechanics has been formulated mainly in the mathematical framework of tensor algebra and tensor calculus. The accurate understanding and the proper application of continuum damage mechanics, therefore, necessitate sound foundation of this mathematical subject.
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