3 papers
cs.LG2025
Topology-aware Neural Flux Prediction Guided by Physics
Haoyang Jiang, Jindong Wang, Xingquan Zhu +1
Graph Neural Networks (GNNs) often struggle in preserving high-frequency components of nodal signals when dealing with directed graphs. Such components are crucial for modeling flo…
cs.LG2024
Fredholm Integral Equations Neural Operator (FIE-NO) for Data-Driven Boundary Value Problems
Haoyang Jiang, Yongzhi Qu
In this paper, we present a novel Fredholm Integral Equation Neural Operator (FIE-NO) method, an integration of Random Fourier Features and Fredholm Integral Equations (FIE) into t…
cs.LG2024
Transfer Operator Learning with Fusion Frame
Haoyang Jiang, Yongzhi Qu
The challenge of applying learned knowledge from one domain to solve problems in another related but distinct domain, known as transfer learning, is fundamental in operator learnin…