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IJCV
2006
165views more  IJCV 2006»
14 years 13 days ago
A Riemannian Framework for Tensor Computing
Tensors are nowadays a common source of geometric information. In this paper, we propose to endow the tensor space with an affine-invariant Riemannian metric. We demonstrate that ...
Xavier Pennec, Pierre Fillard, Nicholas Ayache
VISSYM
2004
14 years 1 months ago
Superquadric tensor glyphs
Tensor field visualization is a challenging task due in part to the multi-variate nature of individual tensor samples. Glyphs convey tensor variables by mapping the tensor eigenve...
Gordon L. Kindlmann
ICDM
2008
IEEE
141views Data Mining» more  ICDM 2008»
14 years 7 months ago
Scalable Tensor Decompositions for Multi-aspect Data Mining
Modern applications such as Internet traffic, telecommunication records, and large-scale social networks generate massive amounts of data with multiple aspects and high dimensiona...
Tamara G. Kolda, Jimeng Sun
ICASSP
2008
IEEE
14 years 7 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

Book
813views
15 years 8 months ago
Mathematical Tools for Physics
"I wrote this text for a one semester course at the sophomore-junior level. Our experience with students taking our junior physics courses is that even if they've had th...
James Nearing