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Paper · arXiv

pADAM: A Plug-and-Play All-in-One Diffusion Architecture for Multi-Physics Learning

Generalizing across disparate physical laws remains a fundamental challenge for artificial intelligence in science. Existing deep-learning solvers are largely confined to single-equation settings, limiting transfer across physical regimes and inference tasks. Here we introduce pADAM, a unified generative framework that learns a shared probabilistic prior across heterogeneous partial differential equation families. Through a learned joint distribution of system states and, where applicable, physical parameters, pADAM supports forward prediction and inverse inference within a single architecture without retraining. Across benchmarks ranging from scalar diffusion to nonlinear Navier--Stokes ...

AuthorsAmirhossein Mollaali, Bongseok Kim, Christian Moya et al.
Primary categorycs.LG
Published17 March 2026
Last updated at source17 March 2026
cs.LG
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