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PRL
2006
117views more  PRL 2006»
13 years 4 months ago
Non-iterative generalized low rank approximation of matrices
: As an extension to 2DPCA, Generalized Low Rank Approximation of Matrices (GLRAM) applies two-sided (i.e., the left and right) rather than single-sided (i.e., the left or the righ...
Jun Liu, Songcan Chen
ICML
2004
IEEE
14 years 5 months ago
Generalized low rank approximations of matrices
The problem of computing low rank approximations of matrices is considered. The novel aspect of our approach is that the low rank approximations are on a collection of matrices. W...
Jieping Ye
TNN
2010
148views Management» more  TNN 2010»
12 years 11 months ago
Generalized low-rank approximations of matrices revisited
Compared to Singular Value Decomposition (SVD), Generalized Low Rank Approximations of Matrices (GLRAM) can consume less computation time, obtain higher compression ratio, and yiel...
Jun Liu, Songcan Chen, Zhi-Hua Zhou, Xiaoyang Tan
CORR
2011
Springer
157views Education» more  CORR 2011»
12 years 8 months ago
Large-Scale Convex Minimization with a Low-Rank Constraint
We address the problem of minimizing a convex function over the space of large matrices with low rank. While this optimization problem is hard in general, we propose an efficient...
Shai Shalev-Shwartz, Alon Gonen, Ohad Shamir
SDM
2007
SIAM
96views Data Mining» more  SDM 2007»
13 years 6 months ago
Higher Order Orthogonal Iteration of Tensors (HOOI) and its Relation to PCA and GLRAM
This paper presents a unified view of a number of dimension reduction techniques under the common framework of tensors. Specifically, it is established that PCA, and the recentl...
Bernard N. Sheehan, Yousef Saad