Deterministic matrices matching the compressed sensing phase transitions of Gaussian random matrices

In compressed sensing, one takes [Image: see text] samples of an N-dimensional vector [Image: see text] using an [Image: see text] matrix A, obtaining undersampled measurements [Image: see text]. For random matrices with independent standard Gaussian entries, it is known that, when [Image: see text]...

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Hoofdauteurs: Monajemi, Hatef, Jafarpour, Sina, Gavish, Matan, Donoho, David L., Ambikasaran, Sivaram, Bacallado, Sergio, Bharadia, Dinesh, Chen, Yuxin, Choi, Young, Chowdhury, Mainak, Chowdhury, Soham, Damle, Anil, Fithian, Will, Goetz, Georges, Grosenick, Logan, Gross, Sam, Hills, Gage, Hornstein, Michael, Lakkam, Milinda, Lee, Jason, Li, Jian, Liu, Linxi, Sing-Long, Carlos, Marx, Mike, Mittal, Akshay, No, Albert, Omrani, Reza, Pekelis, Leonid, Qin, Junjie, Raines, Kevin, Ryu, Ernest, Saxe, Andrew, Shi, Dai, Siilats, Keith, Strauss, David, Tang, Gary, Wang, Chaojun, Zhou, Zoey, Zhu, Zhen
Formaat: Artigo
Taal:Inglês
Gepubliceerd in: National Academy of Sciences 2013
Onderwerpen:
Physical Sciences
Online toegang:https://ncbi.nlm.nih.gov/pmc/articles/PMC3557083/
https://ncbi.nlm.nih.gov/pubmed/23277588
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1073/pnas.1219540110
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