Mechanism works
2026
Dirichlet-to-Neumann Graph Pooling
Replace a large graph submodule by a compact boundary response operator that maps boundary node features to induced boundary fluxes after the interior has been eliminated. Stack these operators recursively to obtain a hierarchical graph neural network whose coarse-level computation preserves long-range effects of discarded vertices more faithfully than average pooling or simple node clustering.
Paper: Gluing Formula for the Pseudo-Determinant of Graph Laplacian and Applications to Counting of Spanning Trees
arXiv:2608.26458