Rank-Adaptive Tensor Completion Based on Tucker Decomposition [PDF]
Tensor completion is a fundamental tool to estimate unknown information from observed data, which is widely used in many areas, including image and video recovery, traffic data completion and the multi-input multi-output problems in information theory ...
Siqi Liu, Xiaoyu Shi, Qifeng Liao
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HOSVD-Based Algorithm for Weighted Tensor Completion [PDF]
Matrix completion, the problem of completing missing entries in a data matrix with low-dimensional structure (such as rank), has seen many fruitful approaches and analyses.
Zehan Chao +2 more
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Color Image Restoration Using Sub-Image Based Low-Rank Tensor Completion [PDF]
Many restoration methods use the low-rank constraint of high-dimensional image signals to recover corrupted images. These signals are usually represented by tensors, which can maintain their inherent relevance.
Xiaohua Liu, Guijin Tang
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Imputation of spatially-resolved transcriptomes by graph-regularized tensor completion. [PDF]
High-throughput spatial-transcriptomics RNA sequencing (sptRNA-seq) based on in-situ capturing technologies has recently been developed to spatially resolve transcriptome-wide mRNA expressions mapped to the captured locations in a tissue sample.
Zhuliu Li +3 more
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Efficient enhancement of low-rank tensor completion via thin QR decomposition [PDF]
Low-rank tensor completion (LRTC), which aims to complete missing entries from tensors with partially observed terms by utilizing the low-rank structure of tensors, has been widely used in various real-world issues.
Yan Wu, Yunzhi Jin
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Tensor Completion Method Based on Coupled Random Projection [PDF]
In modern signal processing,the date with large scale,high dimension and complex structure need to be stored and analyzed in more and more fields.Tensors,as a high-order extension of vectors and matrices,can more intuitively represent the structure of ...
YANG Hong-xin, SONG Bao-yan, LIU Ting-ting, DU Yue-feng, LI Xiao-guang
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Concatenated image completion via tensor augmentation and completion [PDF]
This paper proposes a novel framework called concatenated image completion via tensor augmentation and completion (ICTAC), which recovers missing entries of color images with high accuracy.
Bengua, Johann A. +3 more
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A parallel multi‐block alternating direction method of multipliers for tensor completion
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
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Structural-Missing Tensor Completion for Robust DOA Estimation with Sensor Failure
Array sensor failure poses a serious challenge to robust direction-of-arrival (DOA) estimation in complicated environments. Although existing matrix completion methods can successfully recover the damaged signals of an impaired sensor array, they cannot ...
Bin Li +4 more
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A New Model for Tensor Completion: Smooth Convolutional Tensor Factorization
Tensor completion is the problem of filling-in missing parts of multidimensional data using the values of the reference elements. Recently, Multiway Delay-embedding Transform (MDT), which considers a low-dimensional space in a delay-embedded space with ...
Hiromu Takayama, Tatsuya Yokota
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