Function graph transformers use graph measures to provide a measure-theoretic framework where standard transformer components universally approximate operators between function spaces while preserving single-valued function outputs.
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Extending Huang-Shen splitting scheme analysis shows H1 error bound deteriorates with negative powers of viscosity, confirmed by Kovasznay flow perturbation test at high Re.
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Function graph transformers universally approximate operators between function spaces
Function graph transformers use graph measures to provide a measure-theoretic framework where standard transformer components universally approximate operators between function spaces while preserving single-valued function outputs.
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Viscosity in error upper bound for a consistent splitting scheme of the Navier-Stokes equations
Extending Huang-Shen splitting scheme analysis shows H1 error bound deteriorates with negative powers of viscosity, confirmed by Kovasznay flow perturbation test at high Re.