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Paper · arXiv

Characterizing and Mitigating Distributional Bias in Physics-Informed Generative Models

Physics-informed generative models augment a data-fitting objective with residual penalties that encourage physical constraints to hold in generated samples. However, improving constraint satisfaction need not improve fidelity to the data distribution. We study this conflict in residual-regularized diffusion models and identify two possible consequences. First, the same prediction error can incur different residual costs near different feasible states, preferring states with lower residual sensitivity (avoidance). Second, this preference can extend to feasible states outside the data support, where the residual also vanishes (leakage). Motivated by this analysis, we propose a data-anchore...

AuthorsTanja Bien, Samir Darouich, Lluís Pastor-Pérez et al.
Primary categorycs.LG
Published12 October 2026
Last updated at source12 October 2026
cs.LG
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