Results 21 to 30 of about 396,893 (325)
Efficient Tree Tensor Network States (TTNS) for Quantum Chemistry: Generalizations of the Density Matrix Renormalization Group Algorithm [PDF]
, 2013 We investigate tree tensor network states for quantum chemistry. Tree tensor network states represent one of the simplest generalizations of matrix product states and the density matrix renormalization group.
Chan, Garnet Kin-Lic, Nakatani, Naoki
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Tensor product bases and tensor diagonals [PDF]
Transactions of the American Mathematical Society, 1970 Let X and Y denote Banach spaces with bases (xi) and (yj), respectively, and let X 0@ Y and X 0., Y denote the completion in the e and 7r crossnorms of the algebraic tensor product X 0 Y. The purpose of this paper is to study the structure of the tensor product spaces X 0 Y and X 0,, Y through a consideration of the properties of the tensor product ...
openaire +2 more sources
A constructive arbitrary-degree Kronecker product decomposition of tensors [PDF]
, 2016 We propose the tensor Kronecker product singular value decomposition~(TKPSVD) that decomposes a real $k$-way tensor $\mathcal{A}$ into a linear combination of tensor Kronecker products with an arbitrary number of $d$ factors $\mathcal{A} = \sum_{j=1}^R ...
Batselier, Kim, Wong, Ngai
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Frame-indifference of cross products, rotations, and the permutation tensor
Theoretical and Applied Mechanics Letters, 2020 : Under improper transformations, the traditional transformation laws for cross products, the permutation tensor, and rotations are incorrect. For a cross product, using a counter-example the left-hand rule is proved wrong.
Maolin Du
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Solvability of the Sylvester equation AX−XB=C under left semi-tensor product
Mathematical Modelling and Control, 2022 This paper investigates the solvability of the Sylvester matrix equation AX−XB=C with respect to left semi-tensor product. Firstly, we discuss the matrix-vector equation AX−XB=C under semi-tensor product.
Naiwen Wang
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AN ORDER-P TENSOR MULTIPLICATION WITH CIRCULANT STRUCTURE
Barekeng, 2023 Research on mathematical operations involving multidimensional arrays or tensors has increased along with the growing applications involving multidimensional data analysis. The -product of order- tensor is one of tensor multiplications.
Itsar Mangngiri +2 more
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Journal of Inequalities and Applications, 2019 To construct dual frames with good structure for a given frame is a fundamental problem in the theory of frames. The tensor product duals of tensor product frames can provide a rank-one decomposition of bounded antilinear operators between two Hilbert ...
Ya-Hui Wang, Yun-Zhang Li
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WOVEN FRAMES IN TENSOR PRODUCT OF HILBERT SPACES [PDF]
Journal of Algebraic Systems, 2020 The tensor product is the fundemental ingredient for extending one-dimensional techniques of filtering and compression in signal preprocessing to higher dimensions.
S. Afshar Jahanshahi, A. Ahmadi
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Attentive Tensor Product Learning
, 2018 This paper proposes a new architecture - Attentive Tensor Product Learning (ATPL) - to represent grammatical structures in deep learning models.
Deng, Li +4 more
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On nef and semistable hermitian lattices, and their behaviour under tensor product [PDF]
, 2010 We study the behaviour of semistability under tensor product in various settings: vector bundles, euclidean and hermitian lattices (alias Humbert forms or Arakelov bundles), multifiltered vector spaces.
André, Yves
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