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Paper · arXiv

Deep-layer limit and stability analysis of the basic forward-backward-splitting induced network (II): learning problems

Deep unfolding neural networks derived from iterative optimization schemes and numerical ordinary/partial differential equations (ODEs/PDEs) have attracted much attention in data science over the last decade. Therein, numerous important network architectures were constructed from the basic forward-backward-splitting (FBS) algorithm. In this paper, we continue our research on the most basic FBS-induced network, an architecture unrolled from the original FBS algorithm by incorporating direct parameter relaxations. Following the difference/differential inclusion formulations in our previous forward system analyses, we here consider some theoretical aspects of corresponding learning problems....

AuthorsXuan Lin, Chunlin Wu
Primary categorycs.LG
Published26 May 2026
Last updated at source26 May 2026
cs.LGcs.AI
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