Results 21 to 30 of about 6,032,261 (302)
IEEE Transactions on Quantum Engineering, 2020 We provide a procedure to construct entanglement-assisted Calderbank-Shor-Steane (CSS) codes over qudits from the parity check matrices of two classical codes over Fq, where q = pk, p is prime, and k is a positive integer.
Priya J. Nadkarni +1 more
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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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Tensor of Order Two and Geometric Properties of 2D Metric Space
Mathematics, 2022 A 2D metric space has a limited number of properties through which it can be described. This metric space may comprise objects such as a scalar, a vector, and a rank-2 tensor. The paper provides a comprehensive description of relations between objects in
Tomáš Stejskal +2 more
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Real Color Image Denoising Using t-Product- Based Weighted Tensor Nuclear Norm Minimization
IEEE Access, 2019 Color images can be seen as third-order tensors with column, row and color modes. Considering two inherent characteristics of a color image including the non-local self-similarity (NSS) and the cross-channel correlation, we extract non-local similar ...
Min Liu, Xinggan Zhang, Lan Tang
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Edge detection using nonlinear structure tensor
Nonlinear Engineering, 2022 In order to improve the performance of edge detection for noisy images, a new edge detection method based on nonlinear structure tensor is proposed. First, the tensor product of noisy images is calculated.
Yuan Shuping +3 more
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Tensor rank is not multiplicative under the tensor product [PDF]
arXiv.org, 2017 The tensor rank of a tensor t is the smallest number r such that t can be decomposed as a sum of r simple tensors. Let s be a k-tensor and let t be an l-tensor. The tensor product of s and t is a (k+l)-tensor.
M. Christandl +2 more
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Generalized tensor function via the tensor singular value decomposition based on the T-product [PDF]
Linear Algebra and its Applications, 2019 In this paper, we present the definition of generalized tensor function according to the tensor singular value decomposition (T-SVD) via the tensor T-product.
Yun Miao, L. Qi, Yimin Wei
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A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States [PDF]
, 2013 This is a partly non-technical introduction to selected topics on tensor network methods, based on several lectures and introductory seminars given on the subject.
R. Orús
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One-Bit Function Perturbation Impact on Robust Set Stability of Boolean Networks with Disturbances
MathematicsThis paper investigates the one-bit function perturbation (OBFP) impact on the robust set stability of Boolean networks with disturbances (DBNs). Firstly, the dynamics of these networks are converted into the algebraic forms utilizing the semi-tensor ...
Lei Deng, Xiujun Cao, Jianli Zhao
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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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