Author

Guang Lin

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Preprint Aug 2026

FAST-DeepONet: Factor-Augmented Branch Representations for High-Dimensional PDE Inputs in the Small-Sample Regime

FAST-DeepONet, a branch representation combining a fixed spectral path with a regularized projection of the orthogonal residual, in which the directional penalty acts on the effective residual map after each of its rows is normalized, is introduced.

J. Kwon, Bongseok Kim, Guang Lin · 0 citations

Preprint Sep 2025

Low-Rank Evolutionary Deep Neural Networks via Adaptive Tangent-Space Reduction

Numerical experiments demonstrate that LR-EDNN substantially reduces computational cost while maintaining the accuracy and qualitative fidelity of the full EDNN solver when the rank is chosen adequately.

Jia-Hao Zhang, Shi-Heng Zhang, Guang Lin · 1 citation