DeepGraphONet: A Deep Graph Operator Network to Learn and Zero-shot Transfer the Dynamic Response of Networked Systems. (arXiv:2209.10622v1 [cs.LG])

This paper develops a Deep Graph Operator Network (DeepGraphONet) framework
that learns to approximate the dynamics of a complex system (e.g. the power
grid or traffic) with an underlying sub-graph structure. We build our
DeepGraphONet by fusing the ability of (i) Graph Neural Networks (GNN) to
exploit spatially correlated graph information and (ii) Deep Operator
Networks~(DeepONet) to approximate the solution operator of dynamical systems.
The resulting DeepGraphONet can then predict the dynamics within a given
short/medium-term time horizon by observing …

arxiv graph learn network systems transfer