Certifying the Restricted Isometry Property is Hard

Name: Work Video:
Duration: 3 min 30 s
Description: 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 eq NP.
Afonso S. Bandeira; Edgar Dobriban; Dustin G. Mixon; William F. Sawin
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