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» Computing symmetric rank for symmetric tensors
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JSC
2011
110views more  JSC 2011»
12 years 11 months 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
TVCG
2010
147views more  TVCG 2010»
13 years 3 months ago
Superquadric Glyphs for Symmetric Second-Order Tensors
—Symmetric second-order tensor fields play a central role in scientific and biomedical studies as well as in image analysis and feature-extraction methods. The utility of displ...
Thomas Schultz, Gordon L. Kindlmann
ECCV
2004
Springer
13 years 10 months ago
Principal Geodesic Analysis on Symmetric Spaces: Statistics of Diffusion Tensors
Diffusion tensor magnetic resonance imaging (DT-MRI) is emerging as an important tool in medical image analysis of the brain. However, relatively little work has been done on produ...
P. Thomas Fletcher, Sarang C. Joshi