Traffic Data Restoration Method Based on Tensor Weighting and Truncated Nuclear Norm [PDF]
Jisuanji kexue, 2023 The problem of missing data seriously affects a series of activities in intelligent transportation systems,such as monitoring traffic dynamics,predicting traffic flow,and deploying traffic planning through data.Therefore,a traffic flow data ...
WU Jiangnan, ZHANG Hongmei, ZHAO Yongmei, ZENG Hang, HU Gang
doaj +1 more source
Hyper-Laplacian Regularized Multi-View Subspace Clustering With a New Weighted Tensor Nuclear Norm
IEEE Access, 2021 In this paper, we present a hyper-Laplacian regularized method WHLR-MSC with a new weighted tensor nuclear norm for multi-view subspace clustering. Specifically, we firstly stack the subspace representation matrices of the different views into a tensor ...
Qingjiang Xiao +4 more
doaj +1 more source
Infrared Small Target Detection Based on Partial Sum of the Tensor Nuclear Norm [PDF]
Remote Sensing, 2019 Landan Zhang, Zhenming Peng
openalex +3 more sources
Quaternion Tensor Completion Via Qr Decomposition and Nuclear Norm Minimization
Numerical Linear Algebra with ApplicationsABSTRACTThe task of tensor (matrix) completion has been widely used in the fields of computer vision and image processing, etc. To achieve the completion, the existing methods are mostly based on singular value decomposition of the real tensors and nuclear norm minimization.
Jian Sun, Xin Liu, Yang Zhang
openalex +3 more sources
Numerical stability and tensor nuclear norm
Numerische Mathematik, 2023 25 pages, 7 ...
Dai, Zhen, Lim, Lek-Heng
openaire +3 more sources
Hyperspectral-Multispectral Image Fusion via Tensor Ring and Subspace Decompositions
IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 2021 Fusion from a spatially low resolution hyperspectral image (LR-HSI) and a spectrally low resolution multispectral image (MSI) to produce a high spatial-spectral HSI (HR-HSI), known as hyperspectral super resolution, has risen to a preferred topic for ...
Honghui Xu +4 more
doaj +1 more source
The Ideal of σ-Nuclear Operators and Its Associated Tensor Norm
Mathematics, 2020 We introduce a new tensor norm ( σ -tensor norm) and show that it is associated with the ideal of σ -nuclear operators. In this paper, we investigate the ideal of σ -nuclear operators and the σ -tensor norm.
Ju Myung Kim, Keun Young Lee
doaj +1 more source
Weighted t-Schatten-p Norm Minimization for Real Color Image Denoising
IEEE Access, 2020 In this paper, to fully exploit the spatial and spectral correlation information, we present a new real color image denoising scheme using tensor Schatten-p norm (t-Schatten-p norm) minimization based on t-SVD to recover the underlying low-rank tensor ...
Min Liu, Xinggan Zhang, Lan Tang
doaj +1 more source
A parallel multi‐block alternating direction method of multipliers for tensor completion
IET Image Processing, 2021 This paper proposes an algorithm for the tensor completion problem of estimating multi‐linear data under the limitation of observation rate. Many tensor completion methods are based on nuclear norm minimization, they may fail to achieve the global ...
Hu Zhu +5 more
doaj +1 more source
Tensor p-shrinkage nuclear norm for low-rank tensor completion [PDF]
Neurocomputing, 2020 In this paper, a new definition of tensor p-shrinkage nuclear norm (p-TNN) is proposed based on tensor singular value decomposition (t-SVD). In particular, it can be proved that p-TNN is a better approximation of the tensor average rank than the tensor nuclear norm when p < 1.
Chunsheng Liu, Hong Shan, Chunlei Chen
openaire +2 more sources