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SIAMSC
2010
155views more  SIAMSC 2010»
12 years 11 months ago
Quasi-Newton Methods on Grassmannians and Multilinear Approximations of Tensors
In this paper we proposed quasi-Newton and limited memory quasi-Newton methods for objective functions defined on Grassmannians or a product of Grassmannians. Specifically we defin...
Berkant Savas, Lek-Heng Lim
SIAMMAX
2011
141views more  SIAMMAX 2011»
12 years 7 months ago
Best Low Multilinear Rank Approximation of Higher-Order Tensors, Based on the Riemannian Trust-Region Scheme
Higher-order tensors are used in many application fields, such as statistics, signal processing, and scientific computing. Efficient and reliable algorithms for manipulating thes...
Mariya Ishteva, Pierre-Antoine Absil, Sabine Van H...
CVPR
2005
IEEE
14 years 6 months ago
Rank-R Approximation of Tensors: Using Image-as-Matrix Representation
We present a novel multilinear algebra based approach for reduced dimensionality representation of image ensembles. We treat an image as a matrix, instead of a vector as in tradit...
Hongcheng Wang, Narendra Ahuja
MP
2010
172views more  MP 2010»
13 years 3 months ago
Approximation algorithms for homogeneous polynomial optimization with quadratic constraints
In this paper, we consider approximation algorithms for optimizing a generic multi-variate homogeneous polynomial function, subject to homogeneous quadratic constraints. Such opti...
Simai He, Zhening Li, Shuzhong Zhang