Results 11 to 20 of about 5,602,584 (374)
Attentive Tensor Product Learning [PDF]
AAAI Conference on Artificial Intelligence, 2018 This paper proposes a novel neural architecture — Attentive Tensor Product Learning (ATPL) — to represent grammatical structures of natural language in deep learning models. ATPL exploits Tensor Product Representations (TPR), a structured neural-symbolic
Qiuyuan Huang +4 more
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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
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TENSOR-PRODUCT COACTION FUNCTORS [PDF]
Journal of the Australian Mathematical Society, 2020 AbstractRecent work by Baum et al. [‘Expanders, exact crossed products, and the Baum–Connes conjecture’, Ann. K-Theory 1(2) (2016), 155–208], further developed by Buss et al. [‘Exotic crossed products and the Baum–Connes conjecture’, J. reine angew. Math.
S. KALISZEWSKI +2 more
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Unbraiding the braided tensor product [PDF]
Journal of Mathematical Physics, 2003 We show that the braided tensor product algebra A1⊗_A2 of two module algebras A1,A2 of a quasitriangular Hopf algebra H is isomorphic to the ordinary tensor product A1⊗A2, provided there exists a realization of H within A1. In other words, under this assumption we construct a transformation of generators which decouples A1,A2 (i.e., makes them ...
FIORE, GAETANO, H. STEINHACKER, J. WESS
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Canonical Tensor Product Subfactors [PDF]
Communications in Mathematical Physics, 2000 14 pages; references added and minor ...
Rehren, K. -H.
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The tensor rank of tensor product of two three-qubit W states is eight [PDF]
, 2017 We show that the tensor rank of tensor product of two three-qubit W states is not less than eight. Combining this result with the recent result of M. Christandl, A. K. Jensen, and J.
Lin Chen, S. Friedland
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Tensor Product of Neutrosophic sub modules of an R-module [PDF]
Neutrosophic Sets and Systems, 2022 In this paper, we develop a framework for tensor product with imprecise and indeterminate bounds as a neutrosophic submodule of an R-modules. The fundamental goal of this study is to extend the conventional tensor product in contemporary algebra to the ...
Binu R, Ursala Paul
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Constrainted least squares solution of Sylvester equation
Mathematical Modelling and Control, 2021 In this paper, we study several constrainted least squares solutions of quaternion Sylvester matrix equation. We first propose a real vector representation of quaternion matrix and study its properties.
Wenxv Ding, Ying Li, Dong Wang, AnLi Wei
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The least squares Bisymmetric solution of quaternion matrix equation AXB=C
AIMS Mathematics, 2021 In this paper, the idea of partitioning is used to solve quaternion least squares problem, we divide the quaternion Bisymmetric matrix into four blocks and study the relationship between the block matrices. Applying this relation, the real representation
Dong Wang, Ying Li, Wenxv Ding
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On numerical/non-numerical algebra: Semi-tensor product method
Mathematical Modelling and Control, 2021 A kind of algebra, called numerical algebra, is proposed and investigated. As its opponent, non-numerical algebra is also defined. The numeralization and dis-numeralization, which convert non-numerical algebra to numerical algebra and vise versa, are ...
Daizhan Cheng +3 more
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