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SIAMSC
2008
193views more  SIAMSC 2008»
13 years 11 months ago
Exact and Approximate Sparse Solutions of Underdetermined Linear Equations
Abstract. In this paper, we empirically investigate the NP-hard problem of finding sparsest solutions to linear equation systems, i.e., solutions with as few nonzeros as possible. ...
Sadegh Jokar, Marc E. Pfetsch
CORR
2010
Springer
130views Education» more  CORR 2010»
13 years 11 months ago
Phase Transitions for Greedy Sparse Approximation Algorithms
A major enterprise in compressed sensing and sparse approximation is the design and analysis of computationally tractable algorithms for recovering sparse, exact or approximate, s...
Jeffrey D. Blanchard, Coralia Cartis, Jared Tanner...
TIT
2008
133views more  TIT 2008»
13 years 11 months ago
On the Uniqueness of Nonnegative Sparse Solutions to Underdetermined Systems of Equations
An underdetermined linear system of equations Ax = b with non-negativity constraint x 0 is considered. It is shown that for matrices A with a row-span intersecting the positive o...
Alfred M. Bruckstein, Michael Elad, Michael Zibule...
ICA
2007
Springer
14 years 5 months ago
Sparse Component Analysis in Presence of Noise Using an Iterative EM-MAP Algorithm
Abstract. In this paper, a new algorithm for source recovery in underdetermined Sparse Component Analysis (SCA) or atomic decomposition on over-complete dictionaries is presented i...
Hadi Zayyani, Massoud Babaie-Zadeh, G. Hosein Mohi...
ICASSP
2008
IEEE
14 years 5 months ago
Sparse reconstruction by separable approximation
Finding sparse approximate solutions to large underdetermined linear systems of equations is a common problem in signal/image processing and statistics. Basis pursuit, the least a...
Stephen J. Wright, Robert D. Nowak, Mário A...