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Paper · arXiv

Staged Depth Training: A Representation Curriculum for PINNs

Representation quality is a central determinant of PINNs' performance, yet standard training leaves representations to emerge implicitly while fitting the final solution. We introduce \textbf{representation curriculum}, an ordered process in which representations are explicitly learned, transferred independently of their predictors, and progressively refined. We realize it with Staged Depth Training (SDT), which trains a shallow prefix under a temporary physics-informed head, discards the head, and freezes the learned prefix while adding depth, without equation-specific encodings or changes to the final architecture. Across the 20 default forward problems in PINNacle with three backbones,...

AuthorsKejia Zhang, Youran Sun, Haizhao Yang
Primary categorycs.LG
Published21 August 2026
Last updated at source21 August 2026
cs.LGphysics.comp-ph
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