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A diffusion multiplier for Fourier neural operators, with uncertainty

Paper title Light-Weight Diffusion Multiplier and Uncertainty Quantification for Fourier Neural Operators

Matveev et al. (PhysicsX) · Aero & CFD · General PDEs · Public: code

Paper arXiv 2508.00643PDF

Replaces the dense spectral weight tensor in each Fourier layer with a heat-kernel diffusion multiplier that has one learnable diffusion time per channel, plus spatial-gradient features. Putting priors on those diffusion times turns the model into a Bayesian neural operator that samples spatially correlated fields.

Published
NeurIPS

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