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Paper · arXiv

Structure-preserving uncertainty quantification for GENERIC dynamics

Structure-preserving machine learning embeds physical structure directly into model architectures, yet uncertainty quantification (UQ) for such hard-constrained models remains limited because standard UQ methods may violate the encoded admissibility conditions, require architectural modifications, or impose substantial computational costs. In this work, we propose Structure-Preserving Epistemic Neural Networks (S-PENNs), a general framework for UQ in scientific machine learning models with hard architectural constraints, and instantiate it for GENERIC (General Equation for Non-Equilibrium Reversible-Irreversible Coupling) dynamics. S-PENNs preserve the structural constraints of a pretrain...

AuthorsZequn He, Celia Reina
Primary categorycs.LG
Published12 August 2026
Last updated at source12 August 2026
cs.LGphysics.comp-ph
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