Unverified50% confidenceFactExact time
When deep learning solves PDEs, network training is a non-convex optimization process, and the final loss value is merely an empirical metric on the training set that cannot be directly converted into an error bound for the solution over the continuous domain; even if the loss is small, spectral bias may cause the solution to be severely distorted in local regions.
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50%
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Long-term
Relevance
10/31/2026
First Seen
Sources
Deep Learning for Solving PDEs: Career Prospects and Learning Directions
bilibili关一新本新10/19/2026
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