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CORR
2008
Springer
129views Education» more  CORR 2008»
13 years 7 months ago
Hierarchical Bayesian sparse image reconstruction with application to MRFM
This paper presents a hierarchical Bayesian model to reconstruct sparse images when the observations are obtained from linear transformations and corrupted by an additive white Gau...
Nicolas Dobigeon, Alfred O. Hero, Jean-Yves Tourne...
CORR
2012
Springer
224views Education» more  CORR 2012»
12 years 3 months ago
On the Lagrangian Biduality of Sparsity Minimization Problems
We present a novel primal-dual analysis on a class of NPhard sparsity minimization problems to provide new interpretations for their well known convex relaxations. We show that th...
Dheeraj Singaraju, Ehsan Elhamifar, Roberto Tron, ...
GLOBECOM
2009
IEEE
14 years 2 months ago
Sparse Decoding of Low Density Parity Check Codes Using Margin Propagation
—One of the key factors underlying the popularity of Low-density parity-check (LDPC) code is its iterative decoding algorithm that is amenable to efficient hardware implementati...
Ming Gu, Kiran Misra, Hayder Radha, Shantanu Chakr...
CORR
2007
Springer
110views Education» more  CORR 2007»
13 years 7 months ago
Information-theoretic limits on sparsity recovery in the high-dimensional and noisy setting
The problem of recovering the sparsity pattern of a fixed but unknown vector β∗ ∈ Rp based on a set of n noisy observations arises in a variety of settings, including subset...
Martin J. Wainwright
CORR
2010
Springer
128views Education» more  CORR 2010»
13 years 7 months ago
Blind Compressed Sensing
The fundamental principle underlying compressed sensing is that a signal, which is sparse under some basis representation, can be recovered from a small number of linear measuremen...
Sivan Gleichman, Yonina C. Eldar