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cs.LG2026

Poisson-GENERIC Neural Operators: Exact Metriplectic Structure in Function Space via Casimir Entropies

Jason Sulskis, Sathya Ravi

Existing thermodynamically consistent neural operators enforce GENERIC degeneracy by projecting the reversible operator, introducing state dependence without guaranteeing Jacobi. W…

cs.LG2026

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

Jason Sulskis, Sathya Ravi

We propose GENERIC-FNO, a neural operator that embeds the metriplectic (GENERIC) degeneracy structure of nonequilibrium thermodynamics in function space, coupling reversible, energ…