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Paper · arXiv

Learn When and Where to Connect: Adaptive Virtual Nodes for Dynamic Message Passing on Graphs

While Virtual Nodes (VNs) are often utilized in Message Passing Neural Networks (MPNNs) to facilitate effective message passing, existing VN-based methods have limitations, such as constraining all nodes to connect to the same number of VNs, fixing the connections before applying MPNNs, and connecting a node to a VN independently of the other nodes that connect to the same VN. We propose MAVN, an end-to-end differentiable MPNN framework that allows non-constrained connections between nodes and VNs and dynamically introduces VNs on demand in response to evolving node representations across layers. Specifically, MAVN learns to adaptively determine when (at which layer) and where (to which n...

AuthorsJaejun Lee, Joyce Jiyoung Whang
Primary categorycs.LG
Published2 June 2026
Last updated at source2 June 2026
cs.LGcs.AI
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