A Continuous Exact ℓ0 Penalty (CEL0) for Least Squares Regularized Problem

  title={A Continuous Exact ℓ0 Penalty (CEL0) for Least Squares Regularized Problem},
  author={Emmanuel Soubies and Laure Blanc-F{\'e}raud and Gilles Aubert},
  journal={SIAM J. Imaging Sciences},
Lemma 4.4 in [E. Soubies, L. Blanc-Féraud and G. Aubert, SIAM J. Imaging Sci., 8 (2015), pp. 1607–1639] is wrong for local minimizers of the continuous exact `0 (CEL0) functional. The argument used to conclude the proof of this lemma is not sufficient in the case of local minimizers. In this note, we supply a revision of this lemma where new results are established for local minimizers. Theorem 4.8 in that paper remains unchanged but the proof has to be rewritten according to the new version of… CONTINUE READING
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