A Continuous Exact l(0) Penalty (CELO) for Least Squares Regularized Problem (vol 8, pg 1607, 2015)

作者：Soubies Emmanuel^*; Blanc Feraud Laure^*; Aubert Gilles^*

来源：SIAM Journal on Imaging Sciences, 2016, 9(1): 490-494.

DOI：10.1137/15M1038384

• inverse problems
• l(0) regularization
• sparse modeling
• underdetermined linear systems
• global minimizers
• local minimizers
• minimizers equivalence
• continuous exact l(0) penalty
• nonconvex nonsmooth penalty

Lemma 4.4 in [E. Soubies, L. Blanc-Feraud and G. Aubert, SIAM J. Imaging Sci., 8 (2015), pp. 1607-1639] is wrong for local minimizers of the continuous exact l(0) (CELO) 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 the lemma Finally, some remarks of this paper are also rewritten using the corrected lemma

• 出版日期2016