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Initialization-enhanced Physics-Informed Neural Network with Domain Decomposition (IDPINN)

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arxiv 2406.03172 v1 pith:NAWCYNMZ submitted 2024-06-05 cs.LG

classification cs.LG
keywords idpinnnetworkaccuracydecompositiondomainneuralphysics-informedpinn
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We propose a new physics-informed neural network framework, IDPINN, based on the enhancement of initialization and domain decomposition to improve prediction accuracy. We train a PINN using a small dataset to obtain an initial network structure, including the weighted matrix and bias, which initializes the PINN for each subdomain. Moreover, we leverage the smoothness condition on the interface to enhance the prediction performance. We numerically evaluated it on several forward problems and demonstrated the benefits of IDPINN in terms of accuracy.

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Cited by 1 Pith paper

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  1. Plug-and-Play Physics-informed Learning using Uncertainty Quantified Port-Hamiltonian Models

    cs.RO 2025-04 conditional novelty 5.0 of 10

    A conformal prediction trigger switches robot trajectory prediction from a fast neural net to an uncertainty-aware Gaussian process Port-Hamiltonian model when test dynamics go out of distribution.

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