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One-Bit Compressed Sensing by Linear Programming

delete2013-02-12
delete261
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Yaniv Plan *
DOI:10.1002/cpa.21442delete
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摘要

摘要

En 中文
We give the first computationally tractable and almost optimal solution to the problem of one-bit compressed sensing, showing how to accurately recover an s-sparse vector x is an element of R-n input amssym from the signs of O(s log(2)(n/s)) random linear measurements of x. The recovery is achieved by a simple linear program. This result extends to approximately sparse vectors x. Our result is universal in the sense that with high probability, one measurement scheme will successfully recover all sparse vectors simultaneously. The argument is based on solving an equivalent geometric problem on random hyperplane tessellations. (C) 2013 Wiley Periodicals, Inc.
Keyword:
SIGNAL RECOVERY
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期刊

Communications on Pure and Applied Mathematics 封面图
Communications on Pure and Applied Mathematics
IF:
2.7
论文数:
1.5K
被引数:
1.1W

机构

U
university of michigan system
学者数:
9.1W
论文数: 8.6W
被引数: 133
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