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Flow-matching and diffusion models are increasingly used as priors for linear inverse problems, however, most methods are bespoke to one class of trajectory prior. Plug-and-play methods have been proposed, however these implicitly decorrelate the guided trajectory, resulting in broad priors that can struggle when data...
The Brinkman penalisation method embeds boundary-value problems on complex domains into a simple computational box by modeling the solid region as a strongly dissipative medium, avoiding body-fitted mesh generation. We show that multi-symplectic Hamiltonian PDEs regularised by Brinkman-type penalisation retain a multi-...
A conditioning mechanism for diffusion models based on multi-speed joint diffusion of the target and the condition learns an unconditional joint score network and enforces conditioning at inference via a plug-in correction term, and derives explicit conditional reverse-time SDEs and approximate probability-flow ODEs.
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