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CORR
2011
Springer
194views Education» more  CORR 2011»
12 years 8 months ago
Sparse approximation property and stable recovery of sparse signals from noisy measurements
—In this paper, we introduce a sparse approximation property of order s for a measurement matrix A: xs 2 ≤ D Ax 2 + β σs(x) √ s for all x, where xs is the best s-sparse app...
Qiyu Sun
ICASSP
2011
IEEE
12 years 8 months ago
Bayesian framework and message passing for joint support and signal recovery of approximately sparse signals
In this paper, we develop a low-complexity message passing algorithm for joint support and signal recovery of approximately sparse signals. The problem of recovery of strictly spa...
Shubha Shedthikere, Ananthanarayanan Chockalingam
ICA
2010
Springer
13 years 5 months ago
Recovering Spikes from Noisy Neuronal Calcium Signals via Structured Sparse Approximation
Two-photon calcium imaging is an emerging experimental technique that enables the study of information processing within neural circuits in vivo. While the spatial resolution of th...
Eva L. Dyer, Marco F. Duarte, Don H. Johnson, Rich...
ICASSP
2011
IEEE
12 years 8 months ago
Compressive sensing meets game theory
We introduce the Multiplicative Update Selector and Estimator (MUSE) algorithm for sparse approximation in underdetermined linear regression problems. Given f = Φα∗ + µ, the ...
Sina Jafarpour, Robert E. Schapire, Volkan Cevher
ICASSP
2008
IEEE
13 years 11 months ago
Stable sparse approximations via nonconvex optimization
We present theoretical results pertaining to the ability of ℓp minimization to recover sparse and compressible signals from incomplete and noisy measurements. In particular, we ...
Rayan Saab, Rick Chartrand, Özgür Yilmaz