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arXiv · 1204.1580

Certifying the restricted isometry property is hard

Afonso S. Bandeira·Edgar Dobriban·Dustin G. Mixon·William F. Sawin
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Abstract

This paper is concerned with an important matrix condition in compressed sensing known as the restricted isometry property (RIP). We demonstrate that testing whether a matrix satisfies RIP is NP-hard. As a consequence of our result, it is impossible to efficiently test for RIP provided P \neq NP.

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BibTeXRIS

Afonso S. Bandeira, Edgar Dobriban, Dustin G. Mixon, William F. Sawin. 2012-04-06. Certifying the restricted isometry property is hard. https://doi.org/10.1109/tit.2013.2248414

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