AINeutralarXiv – CS AI · 10h ago6/10
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Can We Formally Verify Neural PDE Surrogates? SMT Compilation of Small Fourier Neural Operators
Researchers demonstrate that Fourier Neural Operators (FNOs) used for PDE simulation can be formally verified using SMT solvers by exploiting their piecewise-linear structure once weights are fixed. While exact encoding provides sound proofs and counterexamples on small models, scalability remains limited, revealing a fundamental tradeoff between formal verification rigor and practical applicability for production neural operators.