low-rank matrix是低秩矩阵。矩阵的秩，需要引入矩阵的SVD分解：X=USV'，U,V正交阵，S是对角阵。如果是完全SVD分解的话，那S对角线上非零元的个数就是这个矩阵的秩了（这些对角线元素叫做奇异值），还有些零元，这些零元对秩没有贡献。1.把矩阵当做样本集合，每一行（或每一列，这个无所谓）是...
我们先来看一下matrix completion模型的数学表达式: minXrank(X)⏟non-convex s.t. XΩ=YΩ (1) Y∈Rm×n 是一个部分观测的矩阵; Ω 是观测到的元素索引集合; X∈Rm×n 是我们希望得到的估计矩阵。 简单来说: 如果Y=[2??4]∈R2×2 是一个部分观测的矩阵,且集合 Ω={(1,1),(2,2)} ...
小秩矩阵(low-rank matrix)在核方法和抽样中，可有效地减小计算开销。也可称作“低秩矩阵”。
This undesirable behavior has motivated the study of the problem of recovering a low-rank matrix A from a corrupted data matrix D = A+E, where some entries of E may be of arbitrarily large magnitude. Recently, [3] showed that under surprisingly broad condi- tions, one can exactly recover...
Low-rank matrix recovery problem is difficult due to its non-convex properties and it is usually solved using convex relaxation approaches. In this paper, we formulate the non-convex low-rank matrix recovery problem exactly using novel Ky Fan 2-k-norm-based models. A general difference of conv...
low rank matrix Suppose that we have a rank-rmatrixAof sizemxn, wherer <<min(m,n). In many engineering problems, the entries of the matrix are often corrupted by errors or noise, some of the entries could even be missing, or only a set of measurements of the matrix is accessible rat...
Low-Rank Matrix Completion 来自 Semantic Scholar 喜欢 0 阅读量: 124 作者: R Kennedy 摘要: While datasets are frequently represented as matrices, real-word data is imperfect and entries are often missing. In many cases, the data are very sparse and the matrix must be filled in before any ...
为进一步激发学校教师参与科研工作的热情,提升科研水平,促进科研辅助教学,培养高质量人才,11月2日下午,应学校科研处和工学院邀请,福州大学博士生导师王石平教授为我校师生开展题为《Differentiable Low-rank Matrix Completion》专项讲座。校长景林教授、校长助理王榕国及工学院全体教师、学生代表参加讲座,讲座由工学院院长...
The task of finding a low-rank (r) matrix that best fits an original data matrix of higher rank is a recurring problem in science and engineering. The problem becomes especially difficult when the original data matrix has some missing entries and contains an unknown additive noise term in the...
Local Low-Rank Matrix Approximation - The Analysis of …:当地的低秩矩阵的近似分析…of,当地,低秩,Local,the,矩阵低秩,低秩矩阵,Low,Rank,反馈意见 文档格式: .pdf 文档大小: 578.44K 文档页数: 9页 顶/踩数: 0/0 收藏人数: 0 评论次数: