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Jia-Hao Zhang

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Jul 2026

Geometry-aware LegONet for PDE Learning on Arbitrary Domains

Geometry-aware LegONet (gLegONet), a boundary-manifold extension of Lego-like operator learning, is introduced, a boundary-manifold extension of Lego-like operator learning that converts arbitrary-domain PDE learning from geometry-specific retraining or soft penalty enforcement into boundary-guaranteed assembly of reus...

Jia-Hao Zhang, Yueqi Wang, 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

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