CoSaMP: Iterative Signal Recovery from Incomplete and Inaccurate Samples

被引:261
作者
Needell, Deanna [1 ]
Tropp, Joel A. [2 ]
机构
[1] Stanford Univ, Stanford, CA 94305 USA
[2] CALTECH, Pasadena, CA 91125 USA
关键词
UNCERTAINTY PRINCIPLES;
D O I
10.1145/1859204.1859229
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
Compressive sampling (CoSa) is a new paradigm for developing data sampling technologies. It is based on the principle that many types of vector-space data are compressible, which is a term of art in mathematical signal processing. The key ideas are that randomized dimension reduction preserves the information in a compressible signal and that it is possible to develop hardware devices that implement this dimension reduction efficiently. The main computational challenge in CoSa is to reconstruct a compressible signal from the reduced representation acquired by the sampling device. This extended abstract describes a recent algorithm, called CoSaMP, that accomplishes the data recovery task. It was the first known method to offer near-optimal guarantees on resource usage.
引用
收藏
页码:93 / 100
页数:8
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