arXiv Machine Learning By Xiaosi Gu, Ayaka Sakata, Tomoyuki Obuchi

Perfect reconstruction of sparse signals using nonconvexity control and one-step RSB message passing

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arXiv:2512. 17426v2 Announce Type: replace-cross Abstract: We consider sparse signal reconstruction via minimization of the smoothly clipped absolute deviation (SCAD) penalty, and develop one-step replica-symmetry-breaking (1RSB) extensions of approximate message passing (AMP), termed 1RSB-AMP.

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