A framework for a posteriori error certification of neural network approximations to elliptic and parabolic PDEs via Riesz representations of residuals on geometrically simpler domains.
Certified machine learning: A posteriori error estimation for physics-informed neural networks,
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A posteriori certification for neural network approximations to PDEs
A framework for a posteriori error certification of neural network approximations to elliptic and parabolic PDEs via Riesz representations of residuals on geometrically simpler domains.