FUSE: Fast Unified Simulation and Estimation for PDEs

arXiv:2405.14558v1 Announce Type: new
Abstract: The joint prediction of continuous fields and statistical estimation of the underlying discrete parameters is a common problem for many physical systems, governed by PDEs. Hitherto, it has been separately addressed by employing operator learning surrogates for field prediction while using simulation-based inference (and its variants) for statistical parameter determination. Here, we argue that solving both problems within the same framework can lead to consistent gains in accuracy and robustness. To this end, We propose …

abstract arxiv continuous cs.lg fields inference parameters prediction simulation statistical systems type variants while