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Thresholding Greedy Pursuit for Sparse Recovery Problems

Signal Processing 2021-03-23 v1 Information Theory math.IT Probability

Abstract

We study here sparse recovery problems in the presence of additive noise. We analyze a thresholding version of the CoSaMP algorithm, named Thresholding Greedy Pursuit (TGP). We demonstrate that an appropriate choice of thresholding parameter, even without the knowledge of sparsity level of the signal and strength of the noise, can result in exact recovery with no false discoveries as the dimension of the data increases to infinity.

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Cite

@article{arxiv.2103.11893,
  title  = {Thresholding Greedy Pursuit for Sparse Recovery Problems},
  author = {Hai Le and Alexei Novikov},
  journal= {arXiv preprint arXiv:2103.11893},
  year   = {2021}
}

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First version

R2 v1 2026-06-24T00:25:39.256Z