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20242026
most citedReference Neural Operators: Learning the Smooth Dependence of Solutions of PDEs on Geometric Deformations

1 citations · 2 across the 5 of their papers we have counts for

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cs.LG2026

Helix: Evolutionary Reinforcement Learning for Open-Ended Scientific Problem Solving

Chang Su, Zhongkai Hao, Zhizhou Zhang +4

Large language models (LLMs) with reasoning abilities have demonstrated growing promise for tackling complex scientific problems. Yet such tasks are inherently domain-specific, unb…

cs.LG2025

From Cheap Geometry to Expensive Physics: Elevating Neural Operators via Latent Shape Pretraining

Zhizhou Zhang, Youjia Wu, Kaixuan Zhang +1

Industrial design evaluation often relies on high-fidelity simulations of governing partial differential equations (PDEs). While accurate, these simulations are computationally exp…

cs.LG2025

Operator Learning with Domain Decomposition for Geometry Generalization in PDE Solving

Jianing Huang, Kaixuan Zhang, Youjia Wu +1

Neural operators have become increasingly popular in solving \textit{partial differential equations} (PDEs) due to their superior capability to capture intricate mappings between f…

cs.LG2024★ 1 cited

Reference Neural Operators: Learning the Smooth Dependence of Solutions of PDEs on Geometric Deformations

Ze Cheng, Zhongkai Hao, Xiaoqiang Wang +6

For partial differential equations on domains of arbitrary shapes, existing works of neural operators attempt to learn a mapping from geometries to solutions. It often requires a l…

cs.LG2024★ 1 cited

Preconditioning for Physics-Informed Neural Networks

Songming Liu, Chang Su, Jiachen Yao +4

Physics-informed neural networks (PINNs) have shown promise in solving various partial differential equations (PDEs). However, training pathologies have negatively affected the con…