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Paper · arXiv

Learnable composition for neural operators

Neural operators are fast, differentiable surrogates for physical simulation, but their accuracy often degrades when domain geometry, size, or operating conditions differ from training. Supervised adaptation can recover accuracy, but even a small target set requires costly high-fidelity simulations. We therefore ask how pretraining and transfer can be designed together to reduce this deployment cost. LatentDDM first pretrains a neural operator to predict fields on small subdomains. For a new setting, it freezes this operator and trains only a lightweight module that composes the local predictions. We evaluate our method on two complementary problems: steady Darcy flow, where long-range pr...

AuthorsZituo Chen, Baiming Zhang, Sili Deng
Primary categorycs.LG
Published2 September 2026
Last updated at source2 September 2026
cs.LG
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