2 problems

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The conjecture that deep learning-based PDE solvers circumvent the curse of dimensionality
Deep learning-based PDE solvers are considered in the setting of high-dimensional partial differential equations (PDEs), where the curse of dimensionality refers to computational d…
Conjectureopencurse-of-dimensionality neural-network-optimization partial-differential-equationsarXiv posted 2 days ago
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The pre-training and transfer-learning conjecture for physics-informed neural networks
Pre-training and transfer-learning conjecture. Pre-training and transfer learning are effective because the model is initialized from a better state that produces less noisy predic…
Conjectureopenneural-network-optimization physics-informed-neural-networks transfer-learningarXiv posted 2 days ago

The conjecture that deep learning-based PDE solvers circumvent the curse of dimensionality