PACE-FNO reduces OOD relative error by up to 12x versus FNO with symmetry augmentation on Burgers, shallow-water, and Navier-Stokes equations by jointly training a frame estimator and operator under bounded symmetry perturbations.
Convolution-based interpolation for fast, high-quality rotation of images.IEEE Transactions on Image Processing, 4(10): 1371–1381, 1995
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Physics-Aligned Canonical Equivariant Fourier Neural Operator under Symmetry-Induced Shifts
PACE-FNO reduces OOD relative error by up to 12x versus FNO with symmetry augmentation on Burgers, shallow-water, and Navier-Stokes equations by jointly training a frame estimator and operator under bounded symmetry perturbations.