从信号处理的角度看矩阵完备化
A Survey on Matrix Completion: Perspective of Signal Processing
摘要:
矩阵完备化是一种很有前途的技术,它能够从子采样/不完全数据中恢复出具有低秩性质的完整矩阵。它的应用范围从计算机视觉、信号处理到无线网络,因此在过去的几年里受到了广泛的关注。有大量的工作解决MC方法的行为和应用。本文从信号处理的角度对MC方法进行了全面的综述。特别地,MC问题首先被分组为六个优化问题,以帮助读者理解MC算法。接下来,四个有代表性的优化算法解决MC问题进行审查。最后,对MC的三个不同应用领域进行了描述和评价。
英文摘要:
Matrix completion (MC) is a promising technique which is able to recover an intact matrix with low-rank property from sub-sampled/incomplete data. Its application varies from computer vision, signal processing to wireless network, and thereby receives much attention in the past several years. There are plenty of works addressing the behaviors and applications of MC methodologies. This work provides a comprehensive review for MC approaches from the perspective of signal processing. In particular, the MC problem is first grouped into six optimization problems to help readers understand MC algorithms. Next, four representative types of optimization algorithms solving the MC problem are reviewed. Ultimately, three different application fields of MC are described and evaluated.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。