Autoregression-Free Neural Operators

Autoregression-Free Neural Operators for Time-Dependent PDEs

arXiv:2605.25413v3 Announce Type: replace Abstract: Neural operators learn mappings from function-dependent inputs to solutions, providing an effective framework for solving partial differential equations (PDEs). For time-dependent PDEs, existing methods typically perform long-horizon prediction through autoregressive rollout directly in high-dimensional physical field spaces, where each predicted state is recursively fed back as the input for the next step. Although effective for short-term...