| Matrix completion by Truncated Nuclear Norm Regularization | |
| Zhang, Debing; Hu, Yao; Ye, Jieping; Li, Xuelong; He, Xiaofei | |
| 2012 | |
| 会议名称 | 2012 IEEE Conference on Computer Vision and Pattern Recognition, CVPR 2012 |
| 会议录名称 | 2012 IEEE Conference on Computer Vision and Pattern Recognition, CVPR 2012 |
| 页码 | 2192-2199 |
| 会议日期 | June 16, 2012 - June 21, 2012 |
| 会议地点 | Providence, RI, United states |
| 出版地 | United States |
| 出版者 | IEEE Computer Society, 2001 L Street N.W., Suite 700, Washington, DC 20036-4928, United States |
| 产权排序 | 3 |
| 摘要 | Estimating missing values in visual data is a challenging problem in computer vision, which can be considered as a low rank matrix approximation problem. Most of the recent studies use the nuclear norm as a convex relaxation of the rank operator. However, by minimizing the nuclear norm, all the singular values are simultaneously minimized, and thus the rank can not be well approximated in practice. In this paper, we propose a novel matrix completion algorithm based on the Truncated Nuclear Norm Regularization (TNNR)by only minimizing the smallest N-r singular values, where N is the number of singular values and r is the rank of the matrix. In this way, the rank of the matrix can be better approximated than the nuclear norm. We further develop an efficient iterative procedure to solve the optimization problem by using the alternating direction method of multipliers and the accelerated proximal gradient line search method. Experimental results in a wide range of applications demonstrate the effectiveness of our proposed approach. |
| 作者部门 | 光学影像分析与学习中心 |
| 收录类别 | CPCI（ISTP） ; EI |
| ISBN号 | 9781467312264 |
| 语种 | 英语 |
| ISSN号 | 10636919 |
| 文献类型 | 会议论文 |
| 条目标识符 | http://ir.opt.ac.cn/handle/181661/20536 |
| 专题 | 光谱成像技术研究室 |
| 推荐引用方式 GB/T 7714 | Zhang, Debing,Hu, Yao,Ye, Jieping,et al. Matrix completion by Truncated Nuclear Norm Regularization[C]. United States:IEEE Computer Society, 2001 L Street N.W., Suite 700, Washington, DC 20036-4928, United States,2012:2192-2199. |
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| 文件名称/大小 | 文献类型 | 版本类型 | 开放类型 | 使用许可 | ||
| Matrix completion by（373KB） | 限制开放 | CC BY-NC-SA | 请求全文 | |||
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