Tag: Fourier neural operator

2 entries

ADEx-FNO: A Unified Ambient-Domain Framework for Fourier Neural Operators on Varying Geometries

ScientificML

Proposes ADEx-FNO, a framework that extends Fourier neural operators to varying geometries and independent discretizations via ambient-domain embedding and signed distance functions, without modifying core Fourier-operator layers.

See LICENSE file Fourier neural operatorVarying geometry PDE solvingScientific machine learning

GENERIC-FNO: Embedding Energy Conservation and Entropy Production into Fourier Neural Operators

ScientificML

GENERIC-FNO embeds the metriplectic degeneracy structure of nonequilibrium thermodynamics into Fourier neural operators, coupling reversible energy-conserving and irreversible entropy-producing dynamics via degeneracy conditions, extending structure-preserving neural operators beyond single conservation laws.

See LICENSE file neural operatorFourier neural operatorthermodynamics

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