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Research map / Graph learning / GNN architectures

Learning Discrete Structures for Graph Neural Networks

ICML 2019 · Graph learning › GNN architectures · approach: Oversmoothing and heterophily · 181 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Jointly learn graph edge probabilities and GCN weights rather than use the fixed input graphGCN · Citeseer and Cora with 25%, 50%, 75%, or 100% edges retainedtest accuracy (%): Citeseer: 64.42 (1.4) -> 71.92 (1.0), 66.82 (0.7) -> 73.26 (0.6), 69.26 (0.6) -> 74.58 (0.9), 70.72 (0.5) -> 75.04 (0.4)Helped
Add randomly sampled edges during standard GCN trainingGCN · Citeseer and Cora, varying retained-edge fractionstest accuracy (%): Citeseer: 64.42 (1.4) -> 64.22 (1.3), 66.82 (0.7) -> 67.28 (0.9), 69.26 (0.6) -> 69.66 (0.5), 70.72 (0.5) -> 70.86 (0.7)No clear effect
Initialize edge probabilities from a kNN graph, then optimize themGCN · Wine, Cancer, Digits, Citeseer, Cora, 20news, FMAtest accuracy (%): LDS vs kNN-GCN: Wine 93.2 (3.1) -> 97.3 (0.4); Cancer 93.8 (1.4) -> 94.4 (1.9); Digits 91.3 (0.5) -> 92.5 (0.7); CiteseeMixed
Use a sparse learned graph instead of the dense LDS adjacency (ablation)kNN-LDS · Seven classification datasetstest accuracy (%)Helped
Use multiple inner optimization steps when computing STE hypergradients rather than alternating minimization (τ=0) (ablation)LDS · Citeseer, all settings shown in the τ experimenttest accuracy (%)Helped
Increase τ further to 20 (ablation)LDS · Citeseer τ experimenttest accuracy (%)No clear effect

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