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Efficient Least Residual Greedy Algorithms for Sparse Recovery

Numerical Analysis 2020-12-02 v1 Information Theory Numerical Analysis math.IT

Abstract

We present a novel stagewise strategy for improving greedy algorithms for sparse recovery. We demonstrate its efficiency both for synthesis and analysis sparse priors, where in both cases we demonstrate its computational efficiency and competitive reconstruction accuracy. In the synthesis case, we also provide theoretical guarantees for the signal recovery that are on par with the existing perfect reconstruction bounds for the relaxation-based solvers and other sophisticated greedy algorithms.

Keywords

Cite

@article{arxiv.2004.06661,
  title  = {Efficient Least Residual Greedy Algorithms for Sparse Recovery},
  author = {Guy Leibovitz and Raja Giryes},
  journal= {arXiv preprint arXiv:2004.06661},
  year   = {2020}
}

Comments

accepted to IEEE Transactions on Signal Processing

R2 v1 2026-06-23T14:51:09.839Z