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» Uncertainty principles and vector quantization
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TIT
2010
76views Education» more  TIT 2010»
13 years 2 months ago
Uncertainty principles and vector quantization
Given a frame in Cn which satisfies a form of the uncertainty principle (as introduced by Candes and Tao), it is shown how to quickly convert the frame representation of every vect...
Yurii Lyubarskii, Roman Vershynin
CORR
2006
Springer
112views Education» more  CORR 2006»
13 years 7 months ago
Entropy And Vision
In vector quantization the number of vectors used to construct the codebook is always an undefined problem, there is always a compromise between the number of vectors and the quan...
Rami Kanhouche
IVC
2007
94views more  IVC 2007»
13 years 7 months ago
Vector quantization and fuzzy ranks for image reconstruction
The problem of clustering is often addressed with techniques based on a Voronoi partition of the data space. Vector quantization is based on a similar principle, but it is a diffe...
Stefano Rovetta, Francesco Masulli
TIT
2002
94views more  TIT 2002»
13 years 7 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
PR
2006
120views more  PR 2006»
13 years 7 months ago
Alternative learning vector quantization
In this paper, we discuss the influence of feature vectors contributions at each learning time t on a sequential-type competitive learning algorithm. We then give a learning rate ...
Kuo-Lung Wu, Miin-Shen Yang