An improved acoustic microimaging technique with learning overcomplete representation

2005 ◽  
Vol 118 (6) ◽  
pp. 3706-3720 ◽  
Author(s):  
Guang-Ming Zhang ◽  
David M. Harvey ◽  
Derek R. Braden
Keyword(s):  
Overcomplete Representation

A Note on Lewicki-Sejnowski Gradient for Learning Overcomplete Representations

2008 ◽  
Vol 20 (3) ◽  
pp. 636-643 ◽  
Author(s):  
Zhaoshui He ◽  
Shengli Xie ◽  
Liqing Zhang ◽  
Andrzej Cichocki
Keyword(s):  
Theoretical Basis ◽  
Mathematical Proof ◽  
Natural Gradient ◽  
Noise Environment ◽  
Matching Structure ◽  
Overcomplete Representation ◽  
Rigorous Mathematical Proof ◽  
Overcomplete Representations

Overcomplete representations have greater robustness in noise environment and also have greater flexibility in matching structure in the data. Lewicki and Sejnowski (2000) proposed an efficient extended natural gradient for learning the overcomplete basis and developed an overcomplete representation approach. However, they derived their gradient by many approximations, and their proof is very complicated. To give a stronger theoretical basis, we provide a brief and more rigorous mathematical proof for this gradient in this note. In addition, we propose a more robust constrained Lewicki-Sejnowski gradient.

Signal overcomplete representation and sparse decomposition based on redundant dictionaries

2005 ◽  
Vol 50 (23) ◽  
pp. 2672-2677 ◽  
Author(s):  
Zhang Chunmei ◽  
Yin Zhongke ◽  
Chen Xiangdong ◽  
Xiao Mingxia
Keyword(s):  
Sparse Decomposition ◽  
Overcomplete Representation ◽  
Redundant Dictionaries

scholarly journals Removal of BCG Artifacts Using a Non-Kirchhoffian Overcomplete Representation

2009 ◽  
Vol 56 (2) ◽  
pp. 200-204 ◽  
Author(s):  
M. Dyrholm ◽  
R. Goldman ◽  
P. Sajda ◽  
T.R. Brown
Keyword(s):  
Overcomplete Representation

scholarly journals Overcomplete representation in a hierarchical Bayesian framework

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Monica Pragliola ◽  
Daniela Calvetti ◽  
Erkki Somersalo
Keyword(s):  
Bayesian Framework ◽  
Hierarchical Bayesian ◽  
Overcomplete Representation
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