The low-rank matrix approximation problem with respect to the entry-wise \\ell_{\\infty} \\ell_{\\infty} -norm is the following: given a matrix M M and a factorization rank r r , find a matrix X X whose rank is at most r r and that minimizes \\max_{i,j} |M_{ij} - X_...
2) low-rank approximation 低秩逼近 1. As a technology for obtaining low rank denotation of extremely large matrix, Low-Rank Approximation plays an important role in many fields such as pattern recognition, machine learning and data mining. 低秩逼近是一种寻求大规摸矩阵的低秩近似表示技术,在模式...
【论文标题】Local Low-Rank Matrix Approximation(icml_2013 ) 【论文作者】Joonseok Lee,Seungyeon Kim,Guy Lebanon,Yoram Singer 【论文链接】Paper(9-pages // Double column) 【摘要】 矩阵近似是推荐系统、文本挖掘和计算机视觉的常用工具。构造矩阵近似的一个普遍假设是,部分观察到的矩阵是低秩的。我们提出了...
Low-rank matrix approximation (LRMA) is a powerful technique for signal processing and pattern analysis. However, its potential for data compression has not yet been fully investigated in the literature. In this paper, we propose sparse low-rank matrix approximation (SLRMA), an effective computatio...
We propose a new matrix approximation model where we assume instead that the matrix is only locally of low-rank, leading to a representation of the observed matrix as a weighted sum of low-rank matrices. We analyze the accuracy of the proposed local low-rank modeling. Our experiments show ...
Matrix approximation is a common tool in recommendation systems, text mining, and computer vision. A prevalent assumption in constructing matrix approximations is that the partially observed matrix is of low-rank. We propose a new matrix approximation model where we assume instead that the matrix is...
Sparse Principal Component Analysis via Regularized Low Rank Matrix Approximation(Adjusted Variance) 在这里插入图片描述 前言 这篇文章用的也是交替算法,不得不说,这个东西太好用了,变来变去怎么都能玩出花来。这篇论文的关键之处,我感觉是对adjusted variance的算法,比较让人信服。
(2)提出了一个inference algorithm (S2.B),这是一个low-rank approximation algorithm。 输入: , 其中m是task的数量,n是worker的数量,这个矩阵表示worker提供的答案的情况. 输出: , 推断得到的问题的结果("unobserved solution vector") (3)然后,将上述两部分内容结合起来,提出了Budget-optimal Crowdsourcing算法(...
在局部低秩矩阵近似算法(Local Low-Rank Matrix Approximation,LLORMA)的实现过程中,原本完整的训练数据集被划分为了多个局部数据集,导致训练数据集进一步稀疏,但是PMF... 马进 - 西安电子科技大学 被引量: 0发表: 0年 Social Recommendation With Local Low Rank Matrix Approximation In the recommendation literature...
Systems and methods for generating a low-rank approximation of a matrix are provided. The various systems and methods may identify at least a first set of right singular vectors and a first set of singular values of a subset of the matrix, reduce the subset by an amount of energy of a ...