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CORR
2010
Springer
97views Education» more  CORR 2010»
14 years 7 months ago
On the Scaling Law for Compressive Sensing and its Applications
1 minimization can be used to recover sufficiently sparse unknown signals from compressed linear measurements. In fact, exact thresholds on the sparsity, as a function of the ratio...
Weiyu Xu, Ao Tang
JMLR
2010
195views more  JMLR 2010»
14 years 8 months ago
Online Learning for Matrix Factorization and Sparse Coding
Sparse coding—that is, modelling data vectors as sparse linear combinations of basis elements—is widely used in machine learning, neuroscience, signal processing, and statisti...
Julien Mairal, Francis Bach, Jean Ponce, Guillermo...
CISS
2008
IEEE
15 years 4 months ago
Reconstruction of compressively sensed images via neurally plausible local competitive algorithms
Abstract—We develop neurally plausible local competitive algorithms (LCAs) for reconstructing compressively sensed images. Reconstruction requires solving a sparse approximation ...
Robert L. Ortman, Christopher J. Rozell, Don H. Jo...
ISBI
2008
IEEE
15 years 10 months ago
Sparse representations for limited data tomography
In limited data tomography, with applications such as electron microscopy and medical imaging, the scanning views are within an angular range that is often both limited and sparse...
Hstau Y. Liao, Guillermo Sapiro
CORR
2010
Springer
166views Education» more  CORR 2010»
14 years 9 months ago
The dynamics of message passing on dense graphs, with applications to compressed sensing
`Approximate message passing' algorithms proved to be extremely effective in reconstructing sparse signals from a small number of incoherent linear measurements. Extensive num...
Mohsen Bayati, Andrea Montanari