Results 51 to 60 of about 6,032,261 (302)
Linear to multi-linear algebra and systems using tensors
Frontiers in Applied Mathematics and StatisticsIn the past few decades, multi-linear algebra also known as tensor algebra has been adapted and employed as a tool for various engineering applications.
Divyanshu Pandey +2 more
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A generalization of Kruskal’s theorem on tensor decomposition
Forum of Mathematics, Sigma, 2023 Kruskal’s theorem states that a sum of product tensors constitutes a unique tensor rank decomposition if the so-called k-ranks of the product tensors are large.
Benjamin Lovitz, Fedor Petrov
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On the tensor product of linear sites and Grothendieck categories [PDF]
, 2016 We define a tensor product of linear sites, and a resulting tensor product of Grothendieck categories based upon their representations as categories of linear sheaves.
Wendy Lowen +2 more
semanticscholar +1 more source
Glymphatic Dysfunction Reflects Post‐Concussion Symptoms: Changes Within 1 Month and After 3 Months
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Mild traumatic brain injury (mTBI) may alter glymphatic function; however, its progression and variability remain obscure. This study examined glymphatic function following mTBI within 1 month and after 3 months post‐injury to determine whether variations in glymphatic function are associated with post‐traumatic symptom severity ...
Eunkyung Kim +3 more
wiley +1 more source
Preconditioned Low-rank Riemannian Optimization for Linear Systems with Tensor Product Structure [PDF]
SIAM Journal on Scientific Computing, 2015 The numerical solution of partial differential equations on high-dimensional domains gives rise to computationally challenging linear systems. When using standard discretization techniques, the size of the linear system grows exponentially with the ...
D. Kressner +2 more
semanticscholar +1 more source
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective To explore how cerebral hypoxia and Normal‐Appearing White Matter (NAWM) integrity affect MS lesion burden and clinical course. Methods Seventy‐nine MS patients, including 13 clinically isolated syndrome (CIS) patients and 66 relapsing–remitting multiple sclerosis (RRMS) patients, and 44 healthy controls (HCs) were recruited from ...
Xinli Wang +8 more
wiley +1 more source
Computational and Mathematical MethodsThis paper introduces the C-Product Toolbox, a new computational package available for MATLAB and Python, designed to perform operations on third-order tensors using a tensor product known as the reduced c-product.
Pablo Soto-Quiros +2 more
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Vertex Degrees and Isomorphic Properties in Complement of an m-Polar Fuzzy Graph
Advances in Fuzzy Systems, 2017 Computational intelligence and computer science rely on graph theory to solve combinatorial problems. Normal product and tensor product of an m-polar fuzzy graph have been introduced in this article.
Ch. Ramprasad +3 more
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BEST APPROXIMATION IN QUASI TENSOR PRODUCT SPACE AND DIRECT SUM OF LATTICE NORMED SPACES [PDF]
Journal of Algebraic Systems, 2014 We study the theory of best approximation in tensor product and the direct sum of some lattice normed spacesX_{i}. We introduce quasi tensor product space anddiscuss about the relation between tensor product space and thisnew space which we denote it by ...
Mahdi Iranmanesh, Fateme Solimani
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, 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.
openaire +2 more sources