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CORR
2010
Springer
114views Education» more  CORR 2010»
13 years 7 months ago
Sequential Compressed Sensing
Compressed sensing allows perfect recovery of sparse signals (or signals sparse in some basis) using only a small number of random measurements. Existing results in compressed sens...
Dmitry M. Malioutov, Sujay Sanghavi, Alan S. Wills...
CORR
2010
Springer
97views Education» more  CORR 2010»
13 years 5 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
CORR
2010
Springer
167views Education» more  CORR 2010»
13 years 5 months ago
Compressive Sensing over Graphs
In this paper, motivated by network inference and tomography applications, we study the problem of compressive sensing for sparse signal vectors over graphs. In particular, we are ...
Weiyu Xu, Enrique Mallada, Ao Tang
TSP
2010
13 years 2 months ago
Distributed sampling of signals linked by sparse filtering: theory and applications
We study the distributed sampling and centralized reconstruction of two correlated signals, modeled as the input and output of an unknown sparse filtering operation. This is akin ...
Ali Hormati, Olivier Roy, Yue M. Lu, Martin Vetter...
TIT
2010
112views Education» more  TIT 2010»
13 years 2 months ago
Exponential bounds implying construction of compressed sensing matrices, error-correcting codes, and neighborly polytopes by ran
In [12] the authors proved an asymptotic sampling theorem for sparse signals, showing that n random measurements permit to reconstruct an N-vector having k nonzeros provided n >...
David L. Donoho, Jared Tanner