Recovery of Structured Signals From Corrupted Non-Linear Measurements

01/24/2019

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by   Zhongxing Sun, et al.

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This paper studies the problem of recovering a structured signal from a relatively small number of corrupted non-linear measurements. Assuming that signal and corruption are contained in some structure-promoted set, we suggest an extended Lasso to disentangle signal and corruption. We also provide conditions under which this recovery procedure can successfully reconstruct both signal and corruption.