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Detecting and Discriminating Operator Misspecification in Hybrid PDE-Parameter Learning: a Reference-Free Instrument, with Discrimination Bounded In Sample
Author1, Author2, Author3, Author4, Author5
parameter estimationPDE learningmodel validationneural networks
2608.16925
Builder Relevance
2h ago70%
Abstract
The paper presents a novel instrument for detecting operator misspecification in hybrid PDE-parameter estimators without relying on oracle information.
Reality Card
Core Claim
The instrument successfully distinguishes between operator misspecification and unidentifiable parameters in hybrid PDE-parameter learning.
Method / Result
The information-matrix statistic has a median of 0.19 under correct specification and rises to 224 under misspecifications.
Limitations
The instrument is blind to certain conditions, particularly where a neural estimator fails to outperform traditional methods.
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