Author

Petr Badolia

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Preprint Aug 2026

The Kuramoto Neural Operator: Learning to Solve PDEs via Coupled Oscillator Dynamics

This work introduces the Kuramoto Neural Operator (KNO), which represents the solution through the evolution of a latent field of interacting oscillators, and shows that the model's prediction error is closely linked to the collective dynamics of the latent oscillators.

Petr Badolia, L. Obukhov, Dmitry Bylinkin et al. · 0 citations