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Paper · arXiv

Domain-Validity-Gated Metamorphic Testing of Scientific ML Surrogates

Scientific machine-learning (SciML) surrogates approximate expensive simulations, but exact expected outputs for arbitrary inputs are unavailable (the oracle problem). Metamorphic testing checks relations across executions, yet a candidate relation is not automatically valid: its preconditions, output mapping, and the numerical floor of the scoring operator determine whether a violation is meaningful. We study how candidate metamorphic relations (MRs) can be screened for domain validity and turned into executable, oracle-free test assets for SciML surrogates. We propose (i) a domain-validity rubric that admits a candidate only when its tolerance dominates the operator's numerical floor an...

AuthorsMeng Li, Xiaohua Yang, Jie Liu et al.
Primary categorycs.CE
Published16 June 2026
Last updated at source16 June 2026
cs.CEcs.LG
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