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TIT
2002
94views more  TIT 2002»
13 years 9 months ago
A generalized uncertainty principle and sparse representation in pairs of bases
An elementary proof of a basic uncertainty principle concerning pairs of representations of vectors in different orthonormal bases is provided. The result, slightly stronger than s...
Michael Elad, Alfred M. Bruckstein
ICASSP
2007
IEEE
14 years 4 months ago
Morphological Diversity and Sparse Image Denoising
Overcomplete representations are attracting interest in image processing theory, particularly due to their potential to generate sparse representations of data based on their morp...
Mohamed-Jalal Fadili, Jean-Luc Starck, Larbi Boubc...
ICIP
2010
IEEE
13 years 7 months ago
Image modeling and enhancement via structured sparse model selection
An image representation framework based on structured sparse model selection is introduced in this work. The corresponding modeling dictionary is comprised of a family of learned ...
Guoshen Yu, Guillermo Sapiro, Stéphane Mall...
TSP
2008
124views more  TSP 2008»
13 years 9 months ago
Dictionary Preconditioning for Greedy Algorithms
This article introduces the concept of sensing dictionaries. It presents an alteration of greedy algorithms like thresholding or (Orthogonal) Matching Pursuit which improves their...
Karin Schnass, Pierre Vandergheynst
CVPR
2012
IEEE
12 years 6 days ago
Submodular dictionary learning for sparse coding
A greedy-based approach to learn a compact and discriminative dictionary for sparse representation is presented. We propose an objective function consisting of two components: ent...
Zhuolin Jiang, Guangxiao Zhang, Larry S. Davis