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Sparse Recovery Beyond Incoherence

Where

Rice University
6100 Main
Houston, TX 77005

Upcoming

3:00 p.m. Monday, Feb. 4, 2013

Categories

Events,  Learning,  On Campus | Alumni

Sparse recovery guarantees in compressive sensing and related optimization problems often assume incoherence between the 'sensing' and 'sparsity' domains. In practice, incoherence proper is rarely satisfied due to physical constraints and limitations. In this talk we discuss the notion of local coherence from one basis to another, and show that by matching the sampling distribution to the local coherence at hand, sparse recovery guarantees extend to a rich new class of sensing problems beyond incoherent systems. We discuss particular applications to MRI imaging, polynomial interpolation, and matrix completion problems.
 
 
 

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