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News/StablePDENet: Enhancing Neural Operator Stability through Physics-Informed Residual-Sensitivity Regularization
arxiv
PublishedAugust 27, 2026 at 4:00 AM

StablePDENet: Enhancing Neural Operator Stability through Physics-Informed Residual-Sensitivity Regularization

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arXiv:2601.06472v2 Announce Type: replace Abstract: Learning solution operators for differential equations with neural networks has shown great potential in scientific computing, but ensuring their stability under input perturbations remains a critical challenge. We introduce the StablePDENet, a phy

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