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Paper · arXiv

Where Is My Physics Wrong? Localized and Identifiable Discovery of Model Discrepancy

Hybrid models combine trusted physics with data-driven correction, but a physical model is rarely wrong everywhere or in the same way. The key diagnostic question is local: where does the model fail, what missing mechanism explains the failure, and is the evidence statistically real? Existing sparse-discovery and discrepancy-learning methods usually fit one global correction, which can spread a local error into clean regimes, bias trusted physical parameters, and provide no calibrated significance for selected terms. We introduce LISDD, Localized, Identifiable Sparse Discovery of Discrepancy, a framework that localizes model error to an operating regime, identifies a sparse symbolic form ...

AuthorsYifan Wang
Primary categoryphysics.data-an
Published22 June 2026
Last updated at source22 June 2026
physics.data-ancs.AI
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