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Robust Nonnegative Sparse Recovery and the Nullspace Property of 0/1 Measurements

Robust Nonnegative Sparse Recovery and the Nullspace Property of 0/1 Measurements

We investigate recovery of nonnegative vectors from non-adaptive compressive measurements in the presence of noise of unknown power. In the absence of noise, existing results in the literature identify properties of the measurement that assure uniqueness in the non-negative orthant. By linking such uniqueness results to nullspace properties, we deduce …