The proposed Super Resolution Operator Network (SROpNet) framework learns continuous representations of solutions to parametric differential equations from low-resolution numerical approximations, enabling spatiotemporal super-resolution without constraints on sensor and prediction locations.
The core message of this work is to propose a novel multi-resolution active learning method, called MRA-FNO, that can dynamically select the most valuable input functions and resolutions to train Fourier neural operators (FNOs) efficiently while significantly reducing the data collection cost.