Elementary proof of the spherical section property for random matrices
نویسنده
چکیده
We provide elementary proofs that Bernoulli and Gaussian random matrices satisfy the so-called approximate spherical section property. The best possible of this type was established by Kashin and by Garnaev and Gluskin. In the case of Gaussian matrices, our bound is weaker than theirs (by a factor of √ log n) but uses only elementary arguments. This analysis provides elementary proofs of the main results of compressive sensing.
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تاریخ انتشار 2009