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» Tensor-CUR decompositions for tensor-based data
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KDD
2006
ACM
122views Data Mining» more  KDD 2006»
14 years 5 months ago
Tensor-CUR decompositions for tensor-based data
Motivated by numerous applications in which the data may be modeled by a variable subscripted by three or more indices, we develop a tensor-based extension of the matrix CUR decom...
Michael W. Mahoney, Mauro Maggioni, Petros Drineas
TMI
2011
127views more  TMI 2011»
12 years 11 months ago
Reconstruction of Large, Irregularly Sampled Multidimensional Images. A Tensor-Based Approach
Abstract—Many practical applications require the reconstruction of images from irregularly sampled data. The spline formalism offers an attractive framework for solving this prob...
Oleksii Vyacheslav Morozov, Michael Unser, Patrick...
CVPR
2008
IEEE
14 years 6 months ago
Robust tensor factorization using R1 norm
Over the years, many tensor based algorithms, e.g. two dimensional principle component analysis (2DPCA), two dimensional singular value decomposition (2DSVD), high order SVD, have...
Heng Huang, Chris H. Q. Ding
ICPR
2004
IEEE
14 years 6 months ago
Compact Representation of Multidimensional Data Using Tensor Rank-One Decomposition
This paper presents a new approach for representing multidimensional data by a compact number of bases. We consider the multidimensional data as tensors instead of matrices or vec...
Hongcheng Wang, Narendra Ahuja
MICCAI
1999
Springer
13 years 9 months ago
Image Processing for Diffusion Tensor Magnetic Resonance Imaging
This paper1 describes image processing techniques for Diffusion Tensor Magnetic Resonance. In Diffusion Tensor MRI, a tensor describing local water diffusion is acquired for each v...
Carl-Fredrik Westin, S. E. Maier, B. Khidhir, Pete...