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We study the problem of recovering a non-negative sparse signal x isin Ropfn from highly corrupted linear measurements y = Ax+e isin Ropfm, where e is an unknown (and unbounded) error. Motivated by an observation from computer vision, we prove that for highly correlated dictionaries A, any non-negative, sufficiently sparse signal x can be recovered by solving an lscr1-minimization problem: min ||x||...
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