The proposed POU-PINN framework couples a partition-of-unity network for conductivity with a PINN for Darcy flow, but the claimed unsupervised discovery of subdomains is not demonstrated: the partition network is fit to known conductivity labels.
Partition of Unity Networks: Deep Hp-Approximation,
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Partition of Unity Physics-Informed Neural Networks (POU-PINNs): An Unsupervised Framework for Physics-Informed Domain Decomposition and Mixtures of Experts
The proposed POU-PINN framework couples a partition-of-unity network for conductivity with a PINN for Darcy flow, but the claimed unsupervised discovery of subdomains is not demonstrated: the partition network is fit to known conductivity labels.