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Recovery of Structured Signals From Corrupted Non-Linear Measurements

Information Theory 2019-01-25 v1 math.IT

Abstract

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.

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Cite

@article{arxiv.1901.08349,
  title  = {Recovery of Structured Signals From Corrupted Non-Linear Measurements},
  author = {Zhongxing Sun and Wei Cui and Yulong Liu},
  journal= {arXiv preprint arXiv:1901.08349},
  year   = {2019}
}

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7 pages