F Krzakala, M Mézard, F Sausset, Y Sun… - Journal of Statistical …, 2012 - iopscience.iop.org
Compressed sensing is a signal processing method that acquires data directly in a compressed form. This allows one to make fewer measurements than were considered …
We present a mathematical connection between channel coding and compressed sensing. In particular, we link, on the one hand, channel coding linear programming decoding (CC …
Compressed sensing refers to a growing body of techniques that'undersample'high- dimensional signals and yet recover them accurately. Such techniques make fewer …
We investigate the problem of reconstructing a high-dimensional nonnegative sparse vector from lower-dimensional linear measurements. While much work has focused on dense …
S Kudekar, HD Pfister - 2010 48th Annual Allerton Conference …, 2010 - ieeexplore.ieee.org
Recently, it was observed that spatially-coupled LDPC code ensembles approach the Shannon capacity for a class of binary-input memoryless symmetric (BMS) channels. The …
Y Yang, P Grover, S Kar - IEEE Transactions on Information …, 2017 - ieeexplore.ieee.org
We consider the problem of computing a binary linear transformation when all circuit components are unreliable. Two models of unreliable components are considered …
F Zhang, HD Pfister - IEEE Transactions on Information Theory, 2012 - ieeexplore.ieee.org
This paper considers the performance of (j, k)-regular low-density parity-check (LDPC) codes with message-passing (MP) decoding algorithms in the high-rate regime. In particular …
We study the support recovery problem for compressed sensing, where the goal is to reconstruct the sparsity pattern of a high-dimensional K-sparse signal x∈ ℝ N, as well as the …
This is a tale of two linear programming decoders, namely channel coding linear programming decoding (CC-LPD) and compressed sensing linear programming decoding …