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Revealing tissue architecture through the hypercomplex Fourier analysis of spatial transcriptomics data. [PDF]
Frost HR.
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Identifying novel metabolomics risk factors for lacunar stroke and vascular cognitive impairment
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Robust Tensor SVD and Recovery With Rank Estimation
IEEE Transactions on Cybernetics, 2022Tensor singular value decomposition (t-SVD) has recently become increasingly popular for tensor recovery under partial and/or corrupted observations. However, the existing t -SVD-based methods neither make use of a rank prior nor provide an accurate rank estimation (RE), which would limit their recovery performance.
Qiquan Shi, Yiu-Ming Cheung, Jian Lou
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Weighted tensor nuclear norm minimization for tensor completion using tensor-SVD
Pattern Recognition Letters, 2020Abstract In this paper, we consider the tensor completion problem, which aims to estimate missing values from limited information. Our model is based on the recently proposed tensor-SVD, which uses the relationships among the color channels in an image or video recovery problem. To improve the availability of the model, we propose the weighted tensor
Yang Mu +4 more
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Tensor Completion via A Generalized Transformed Tensor T-Product Decomposition Without t-SVD
Journal of Scientific Computing, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hongjin He, Chen Ling, Wenhui Xie
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Dynamic MRI Reconstruction Using Tensor-SVD
2018 14th IEEE International Conference on Signal Processing (ICSP), 2018In this paper we propose to reconstruct dynamic magnetic resonance images from highly sparse sampling k-t space data by enhancing the low rankness and sparsity simultaneously. We introduce Tensor Singular Value Decomposition (t-SVD) instead of matrix SVD to maintain the structure of dynamic MR images.
Jianhang Ai +3 more
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SVD-Based Tensor-Completion Technique for Background Initialization
IEEE Transactions on Image Processing, 2018Extracting the background from a video in the presence of various moving patterns is the focus of several background-initialization approaches. To model the scene background using rank-one matrices, this paper proposes a background-initialization technique that relies on the singular-value decomposition (SVD) of spatiotemporally extracted slices from ...
Ibrahim Kajo +3 more
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Decompositions of third‐order tensors: HOSVD, T‐SVD, and Beyond
Numerical Linear Algebra with Applications, 2020SummaryThe higher order singular value decomposition, which is regarded as a generalization of the matrix singular value decomposition (SVD), has a long history and is well established, while the T‐SVD is relatively new and lacks systematic analysis. Because of the unusual tensor‐tensor product that the T‐SVD is based on, the form of the T‐SVD may be ...
Chao Zeng, Michael K. Ng
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Robust low-rank tensor reconstruction using high-order t-SVD
Journal of Electronic Imaging, 2021Currently, robust low-rank tensor reconstruction based on tensor singular value decomposition (t-SVD) has made remarkable achievements in the fields of computer vision, image processing, etc. However, existing works mainly concentrate on third-order tensors while order-d (d ≥ 4) tensors are commonly encountered in practical applications, such as ...
Wenjin Qin +4 more
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