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» Lower Bounds for Sparse Recovery
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JMLR
2012
11 years 7 months ago
Universal Measurement Bounds for Structured Sparse Signal Recovery
Standard compressive sensing results state that to exactly recover an s sparse signal in Rp , one requires O(s · log p) measurements. While this bound is extremely useful in prac...
Nikhil S. Rao, Ben Recht, Robert D. Nowak
ICASSP
2008
IEEE
13 years 12 months ago
Average case analysis of sparse recovery with thresholding : New bounds based on average dictionary coherence
This paper analyzes the performance of the simple thresholding algorithm for sparse signal representations. In particular, in order to be more realistic we introduce a new probabi...
Mohammad Golbabaee, Pierre Vandergheynst
ICASSP
2011
IEEE
12 years 9 months ago
Bounded gradient projection methods for sparse signal recovery
The 2- 1 sparse signal minimization problem can be solved efficiently by gradient projection. In many applications, the signal to be estimated is known to lie in some range of va...
James Hernandez, Zachary T. Harmany, Daniel Thomps...
ESANN
2004
13 years 6 months ago
Robust overcomplete matrix recovery for sparse sources using a generalized Hough transform
We propose an algorithm for recovering the matrix A in X = AS where X is a random vector of lower dimension than S. S is assumed to be sparse in the sense that S has less nonzero e...
Fabian J. Theis, Pando G. Georgiev, Andrzej Cichoc...