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» On the Ranks and Border Ranks of Symmetric Tensors
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JSC
2011
110views more  JSC 2011»
13 years 7 days ago
Computing symmetric rank for symmetric tensors
We consider the problem of determining the symmetric tensor rank for symmetric tensors with an algebraic geometry approach. We give algorithms for computing the symmetric rank for...
Alessandra Bernardi, Alessandro Gimigliano, Monica...
FOCM
2010
91views more  FOCM 2010»
13 years 3 months ago
On the Ranks and Border Ranks of Symmetric Tensors
Motivated by questions arising in signal processing, computational complexity, and other areas, we study the ranks and border ranks of symmetric tensors using geometric methods. We...
J. M. Landsberg, Zach Teitler
ICASSP
2008
IEEE
13 years 11 months ago
Generic and typical ranks of three-way arrays
The concept of tensor rank, introduced in the twenties, has been popularized at the beginning of the seventies. This has allowed to carry out Factor Analysis on arrays with more t...
Pierre Comon, Jos M. F. ten Berge
SIAMSC
2010
155views more  SIAMSC 2010»
13 years 1 days 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