Efficient and robust compressed sensing using high-quality expander graphs

S Jafarpour, W Xu, B Hassibi, R Calderbank - arXiv preprint arXiv …, 2008 - arxiv.org
… k-sparse signals simpler we will use a high quality expander graph which is right-regular as
expanders from any expander graph without disturbing its characteristics (lemma 2.3 in [4]. …

Performance bounds for expander-based compressed sensing in Poisson noise

M Raginsky, S Jafarpour, ZT Harmany… - IEEE Transactions …, 2011 - ieeexplore.ieee.org
compressed sensing literature are no longer applicable. In this paper, we develop a novel
sensing paradigm based on expander graphs … “Efficient and robust compressed sensing using

Vanishingly sparse matrices and expander graphs, with application to compressed sensing

B Bah, J Tanner - IEEE transactions on information theory, 2013 - ieeexplore.ieee.org
… of expander graphs, the matrices we consider, and sampling theorems of some selected
compressed sensing … Calderbank, “Efficient and robust compressed sensing using high-quality

Optimized selection of random expander graphs for Compressive Sensing

Z Wu, Q Wang, Y Shen, J Liu - 2013 IEEE International …, 2013 - ieeexplore.ieee.org
… An expander graph we study is an unbalanced bipartite simple graph which has quite sparse
… It is a remarkable fact that such high-quality expanders exist although they are hard to …

[CITATION][C] Effi cient Compressed Sensing using Lossless Expander Graphs with Fast Bilat $ eral Quantum Recovery Algorithm

S Jafarpour - arXiv preprint arXiv:0806.3799, 2008 - Citeseer

Low-cost and high-throughput testing of COVID-19 viruses and antibodies via compressed sensing: System concepts and computational experiments

J Yi, R Mudumbai, W Xu - arXiv preprint arXiv:2004.05759, 2020 - arxiv.org
… matrices for compressed sensing applied to this purpose. In particular, we propose to use
expander graph based … Efficient and robust compressed sensing using high-quality expander

Combining geometry and combinatorics: A unified approach to sparse signal recovery

R Berinde, AC Gilbert, P Indyk, H Karloff… - 2008 46th Annual …, 2008 - ieeexplore.ieee.org
compression is of key importance is compressed sensing [… can be constructed using
high-quality expanders. The formal … if A is an adjacency matrix of an expander graph, then the LP …

Sparse recovery of nonnegative signals with minimal expansion

MA Khajehnejad, AG Dimakis, W Xu… - IEEE Transactions on …, 2010 - ieeexplore.ieee.org
… that it is both optimal and robust to noise (Section 6). One … expander graphs in the context
of compressed sensing, we require a much smaller expansion coefficient in order to be effective

Compressed sensing and sparsity in photoacoustic tomography

M Haltmeier, T Berer, S Moon, P Burgholzer - Journal of Optics, 2016 - iopscience.iop.org
high quality Fabry–Perot sensors with highly uniform sensor properties. For non-contact
schemes, … Stable and robust recovery of sparse vectors requires the measurement matrix to well …

Two-part reconstruction in compressed sensing

Y Ma, D Baron, D Needell - 2013 IEEE Global Conference on …, 2013 - ieeexplore.ieee.org
… matrices based on expander graphs have been shown to … problem by utilizing a high quality
CS reconstruction algorithm. … Calderbank, “Efficient and robust compressed sensing using