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Deep least-squares methods: An unsupervised learning-based numerical method for solving elliptic pdes

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A posteriori analysis of neural network approximations

math.NA · 2025-07-08 · conditional · novelty 6.0

For well-posed variational problems, the error of any approximation, including a neural network, is equivalent to the sum of a computable discrete residual and an estimated remainder.

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  • A posteriori analysis of neural network approximations math.NA · 2025-07-08 · conditional · none · ref 6

    For well-posed variational problems, the error of any approximation, including a neural network, is equivalent to the sum of a computable discrete residual and an estimated remainder.