AI RESEARCH
Geometric Autoencoder Priors for Bayesian Inversion: Learn First Observe Later
arXiv CS.LG
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ArXi:2509.19929v4 Announce Type: replace-cross Uncertainty Quantification (UQ) is paramount for inference in engineering. A common inference task is to recover full-field information of physical systems from a small number of noisy observations, a usually highly ill-posed problem. Sharing information from multiple distinct yet related physical systems can alleviate this ill-posedness. Critically, engineering systems often have complicated variable geometries prohibiting the use of standard multi-system Bayesian UQ. In this work, we.