## KKT condition-based smoothing recurrent neural network for nonsmooth nonconvex optimization in compressed sensing

- Dan Wang, Zhuhong Zhang
- Neural Computing and Applications
- 2017

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@article{Soubies2015ACE, 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}, year={2015}, volume={9}, pages={490-494} }

- Published 2015 in SIAM J. Imaging Sciences
DOI:10.1137/151003714

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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