arXiv AI By Jitao Xu, Nobuo Sato, Yaohang Li

Active Diffusion-Based Inference for Ill-Posed Inverse Problems under Incomplete Priors

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The paper introduces an active diffusion-based inverse problem solver that trains a diffusion model to map between parameter and observable spaces. By iteratively detecting and correcting model misspecification through posterior uncertainty, the method can discover and learn the correct parameter region even when initial training bounds exclude the true parameters. The authors demonstrate the solver on a toy inverse problem with infinite solutions and on parameterizing quantum correlation functions for a Quantum Chromodynamics analysis of nucleon structure.

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