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SIAMMAX
2010
134views more  SIAMMAX 2010»
13 years 5 months ago
Dynamical Tensor Approximation
For the approximation of time-dependent data tensors and of solutions to tensor differential equations by tensors of low Tucker rank, we study a computational approach that can be ...
Othmar Koch, Christian Lubich
MCS
2008
Springer
13 years 10 months ago
Dynamical low-rank approximation: applications and numerical experiments
Dynamical low-rank approximation is a differential-equation based approach to efficiently computing low-rank approximations to time-dependent large data matrices or to solutions o...
Achim Nonnenmacher, Christian Lubich
ICIP
2007
IEEE
15 years 17 days ago
Hierarchical Tensor Approximation of Multidimensional Images
Visual data comprises of multi-scale and inhomogeneous signals. In this paper, we exploit these characteristics and develop an adaptive data approximation technique based on a hie...
Qing Wu, Tian Xia, Yizhou Yu
ICA
2012
Springer
12 years 6 months ago
On Revealing Replicating Structures in Multiway Data: A Novel Tensor Decomposition Approach
A novel tensor decomposition called pattern or P-decomposition is proposed to make it possible to identify replicating structures in complex data, such as textures and patterns in ...
Anh Huy Phan, Andrzej Cichocki, Petr Tichavsk&yacu...
TVCG
2008
136views more  TVCG 2008»
13 years 10 months ago
Hierarchical Tensor Approximation of Multi-Dimensional Visual Data
Abstract-- Visual data comprise of multi-scale and inhomogeneous signals. In this paper, we exploit these characteristics and develop a compact data representation technique based ...
Qing Wu, Tian Xia, Chun Chen, Hsueh-Yi Sean Lin, H...