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Learning missing physics from legacy simulators with alternating neural integrators

delete2026-06-23
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OA
AI
H
Hao Wang
Q
Qinghe Wang *
C
Caiyou Yuan
K
Kailiang Wu *
DOI:10.1038/s41467-026-74002-2delete
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Abstract

Abstract

En 中文
A recurring challenge in science and engineering is the model–reality gap, where trusted legacy simulators lose fidelity due to unresolved physics or structural incompleteness. This challenge has motivated remedies ranging from imperfect mechanistic models to fully data-driven surrogates. Here, we address this gap with Alternating Neural Integrators (ANI), a non-intrusive reuse-and-correct framework for upgrading executable legacy simulators without requiring access to or modification of their internal implementation. Guided by operator-splitting principles, ANI alternates the evolution of a fixed prior simulator with a learned neural correction that targets structured discrepancy between the prior and the supervisory data. We show that ANI can recover missing coupling in chaotic systems and act as an effective subgrid correction in turbulence, improving dynamical fidelity where prior models drift. In selected mechanistically structured settings, post hoc symbolic distillation yields compact hypotheses and, in controlled benchmarks, supports closed-loop refinement of the prior. By combining data-driven flexibility with reusable scientific simulators in a theoretically grounded framework, this work provides a practical gray-box route for systematically upgrading existing computational infrastructure when a callable prior and supervisory data are available. Alternating Neural Integrators (ANI) offer a non-intrusive “reuse-and-correct” framework to upgrade legacy simulators by alternating prior model evolution with learned neural corrections, improving fidelity in complex systems and enabling interpretable, data-driven refinement.
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Journal

Nature Communications cover
Nature Communications
IF:
15.7
Papers:
9.3W
Citations:
91.2W

Organization

S
southern university of science and technology
Scholars:
4.4K
Papers: 1.6K
Citations: 0
Z
zhejiang university
Scholars:
17.6W
Papers: 12.1W
Citations: 152