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On the Equivalence Between Temporal and Static Equivariant Graph Representations

ICML 2022 · Graph learning › GNN architectures · approach: Substructure-aware GNN expressivity

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Time-then-graph (GRU-GCN) instead of time-and-graph baselines (1-WL GNN components)temporal graph representation · DynCSLROCAUC: 1.00 vs ~0.50-0.52 for baselinesHelped
Time-then-graph (GRU-GCN) vs TGAT/TGN time-then-graph variants that only use observed edgestemporal graph representation · DynCSLROCAUC: 1.00 vs 0.48 (TGAT), 0.51 (TGN)Helped
Time-then-graph (GRU-GCN) vs time-and-graph baselinestemporal graph representation · Brain-10ROCAUC: 0.91 vs 0.84 (DCRNN), 0.87 (GCN-GRU)Helped
Time-then-graph (GRU-GCN) on temporal node regressiontemporal graph representation · PeMS04, PeMS08, Spain-COVID, England-COVID (MAPE)MAPE (%): best on PeMS08 transductive and England-COVID; second best on PeMS04 and Spain-COVID transductiveMixed
Time-then-graph (GRU-GCN) vs time-and-graph baselines in training speed and memorytemporal graph representation · GPU efficiency on PeMS04, PeMS08, Spain-COVID, England-COVIDtraining time per minibatch and peak GPU memory: 7 ms vs 17 ms (GCN-GRU) and 25 ms (TGN) on PeMS04Helped

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