LFNO: Bridging Laplace and Fourier via Transient-Steady Decomposition

In three linesLFNO (Laplace-Fourier Neural Operator) combines spectral advantages of Laplace and Fourier operators via explicit decomposition into transient and steady-state regimes. Evaluated on 9 benchmarks (3 ODE systems, 6 PDE systems including Navier-Stokes), LFNO outperforms existing operators on ODEs and matches FNO performance on PDEs.

Summary generated by Claude — human-verified