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cs.LG2025
ReBaNO: Reduced Basis Neural Operator Mitigating Generalization Gaps and Achieving Discretization Invariance
Haolan Zheng, Yanlai Chen, Jiequn Han +1
We propose a novel data-lean operator learning algorithm, the Reduced Basis Neural Operator (ReBaNO), to solve a group of PDEs with multiple distinct inputs. Inspired by the Reduce…
cs.LG2025
SGPT-PINNs: Sparse and Small models for PDEs
Yajie Ji, Yanlai Chen, Shawn Koohy
We propose SGPT-PINN, a sparse and small model for solving parametric partial differential equations (PDEs). Similar to Small Language Models (SLMs), SGPT-PINN is tailored…