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pathGCN: Learning General Graph Spatial Operators from Paths

ICML 2022 · Graph learning › GNN architectures · approach: Deep graph convolution and simplification · 4 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Learn a flexible spatial operator from paths rather than use a fixed Laplacian-based operatorGCNs · Cora, Citeseer, and Pubmed (semi-supervised node classification)accuracy (%): 81.0 -> 82.7Helped
Learn a flexible spatial operator from paths rather than use a fixed or proxy spatial operatorGCNs · Fully-supervised node classification benchmarksaccuracy (%): 88.49 -> 90.02Helped
Use path-based learned spatial kernelsGCNs · PPI (inductive learning)micro-averaged F1: 99.58 -> 99.61Helped
Use path-based learned spatial kernelsGraph classification models · MUTAG, PTC, and PROTEINSaccuracy (%): 92.7_{\pm6.1} -> 94.7_{\pm4.7}; 68.2_{\pm5.6} -> 75.2_{\pm5.3}; 77.0_{\pm4.3} -> 80.4_{\pm4.2}Helped
Use path-based learned spatial kernelsGraph classification models · NCI1accuracy (%): 83.6_{\pm1.4} -> 83.3_{\pm1.3}Hurt
Use a global learned spatial operator shared across layers and channels instead of depth-wise operators (ablation)pathGCN · Cora, Citeseer, and Pubmed (semi-supervised node classification)accuracy (%): Cora: 84.2 -> 83.0; Citeseer: 74.3 -> 73.1; Pubmed: 81.8 -> 80.9Hurt
Use a per-layer spatial operator shared across channels instead of depth-wise operators (ablation)pathGCN · Cora, Citeseer, and Pubmed (semi-supervised node classification)accuracy (%): Cora: 84.2 -> 82.9; Citeseer: 74.3 -> 73.4; Pubmed: 81.8 -> 81.1Hurt
Increase the number of sampled paths beyond 20 (ablation)pathGCN · Cora, Citeseer, and Pubmed (semi-supervised node classification)accuracy (%)Hurt
Increase path length from 1 toward 7 (ablation)pathGCN · Cora, Citeseer, and Pubmed (semi-supervised node classification)accuracy (%)Helped
Increase path length beyond the useful range (ablation)pathGCN · Cora, Citeseer, and Pubmed (semi-supervised node classification)accuracy (%)Mixed
Use stochastic rather than deterministic pathGCN inference (ablation)pathGCN · Cora, Citeseer, Pubmed, ogbn-arxiv, Wisconsin, and PPIaccuracy (%) or micro-averaged F1: 85.8 vs 85.8; 75.8 vs 75.8; 82.7 vs 82.7; 72.84 vs 72.83; 93.51 vs 93.53; 99.61 vs 99.61No clear effect

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