Low-Rank High-Order Tensor Completion With Applications in Visual Data
文献类型:期刊论文
作者 | Qin, Wenjin3; Wang, Hailin4; Zhang, Feng3; Wang, Jianjun3,5; Luo, Xin2,6![]() |
刊名 | IEEE TRANSACTIONS ON IMAGE PROCESSING
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出版日期 | 2022 |
卷号 | 31页码:2433-2448 |
关键词 | Low-rank order-d tensor completion order-d tensor singular value decomposition invertible linear transforms convex optimization sparsity measure |
ISSN号 | 1057-7149 |
DOI | 10.1109/TIP.2022.3155949 |
通讯作者 | Wang, Jianjun(wjj@swu.edu.cn) |
英文摘要 | Recently, tensor Singular Value Decomposition (t-SVD)-based low-rank tensor completion (LRTC) has achieved unprecedented success in addressing various pattern analysis issues. However, existing studies mostly focus on third-order tensors while order-d (d >= 4) tensors are commonly encountered in real-world applications, like fourth-order color videos, fourth-order hyper-spectral videos, fifth-order light-field images, and sixth-order bidirectional texture functions. Aiming at addressing this critical issue, this paper establishes an order-d tensor recovery framework including the model, algorithm and theories by innovatively developing a novel algebraic foundation for order-d t-SVD, thereby achieving exact completion for any order-d low t-SVD rank tensors with missing values with an overwhelming probability. Emperical studies on synthetic data and real-world visual data illustrate that compared with other state-of-the-art recovery frameworks, the proposed one achieves highly competitive performance in terms of both qualitative and quantitative metrics. In particular, as the observed data density becomes low, i.e., about 10%, the proposed recovery framework is still significantly better than its peers. The code of our algorithm is released at https://github.com/Qinwenjinswu/TIP-Code |
资助项目 | National Natural Science Foundation of China[12071380] ; National Natural Science Foundation of China[12101512] ; National Natural Science Foundation of China[11971374] ; National Natural Science Foundation of China[62063028] ; National Key Research and Development Program of China[2021YFB3101500] ; China Postdoctoral Science Foundation[2021M692681] ; Natural Science Foundation of Chongqing, China[cstc2021jcyj-bshX0155] ; Fundamental Research Funds for the Central Universities[SWU120078] |
WOS研究方向 | Computer Science ; Engineering |
语种 | 英语 |
WOS记录号 | WOS:000769973200009 |
出版者 | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC |
源URL | [http://119.78.100.138/handle/2HOD01W0/15338] ![]() |
专题 | 中国科学院重庆绿色智能技术研究院 |
通讯作者 | Wang, Jianjun |
作者单位 | 1.Texas A&M Univ Qatar, Dept Math, Doha, Qatar 2.Hengrui Chongqing Artificial Intelligence Res Ctr, Dept Big Data Analyses Tech, Chongqing 401331, Peoples R China 3.Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China 4.Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China 5.Southwest Univ, Res Inst Intelligent Finance & Digital Econ, Chongqing 400715, Peoples R China 6.Chinese Acad Sci, Chongqing Inst Green & Intelligent Technol, Chongqing Key Lab Big Data & Intelligent Comp, Chongqing 400714, Peoples R China |
推荐引用方式 GB/T 7714 | Qin, Wenjin,Wang, Hailin,Zhang, Feng,et al. Low-Rank High-Order Tensor Completion With Applications in Visual Data[J]. IEEE TRANSACTIONS ON IMAGE PROCESSING,2022,31:2433-2448. |
APA | Qin, Wenjin,Wang, Hailin,Zhang, Feng,Wang, Jianjun,Luo, Xin,&Huang, Tingwen.(2022).Low-Rank High-Order Tensor Completion With Applications in Visual Data.IEEE TRANSACTIONS ON IMAGE PROCESSING,31,2433-2448. |
MLA | Qin, Wenjin,et al."Low-Rank High-Order Tensor Completion With Applications in Visual Data".IEEE TRANSACTIONS ON IMAGE PROCESSING 31(2022):2433-2448. |
入库方式: OAI收割
来源:重庆绿色智能技术研究院
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