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Paper · arXiv

PnP-CF: A Consensus Flow-Matching Solver for General Inverse Problems

Plug-and-Play (PnP) methods using continuous-time deep generative models as learned data distribution priors enable synthesizing high-quality solutions of model-based inverse problems. The quality of the solutions depends critically on the interplay and consensus between the inverse problem solver and the generative model sampler. We revisit a recently introduced flow-based PnP framework, which we refer to as PnP-CF (Consensus Flow), and extend its application to nonlinear inverse problems, including those with learned neural-network forward operators. PnP-CF combines a flow-matching denoiser with (i) ADMM-like dual variable updates and (ii) a time-adaptive pullback onto the intermediate ...

AuthorsDibyanshu Kumar, Magda Gregorova
Primary categorycs.LG
Published19 October 2026
Last updated at source19 October 2026
cs.LG
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