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3 months ago

Beyond Homophily with Graph Echo State Networks

Domenico Tortorella Alessio Micheli

Beyond Homophily with Graph Echo State Networks

Abstract

Graph Echo State Networks (GESN) have already demonstrated their efficacy and efficiency in graph classification tasks. However, semi-supervised node classification brought out the problem of over-smoothing in end-to-end trained deep models, which causes a bias towards high homophily graphs. We evaluate for the first time GESN on node classification tasks with different degrees of homophily, analyzing also the impact of the reservoir radius. Our experiments show that reservoir models are able to achieve better or comparable accuracy with respect to fully trained deep models that implement ad hoc variations in the architectural bias, with a gain in terms of efficiency.

Benchmarks

BenchmarkMethodologyMetrics
node-classification-on-actorGraph ESN
Accuracy: 34.5 ± 0.8
node-classification-on-chameleonGraph ESN
Accuracy: 76.2±1.2
node-classification-on-citeseer-fullGraph ESN
Accuracy: 74.5±2.1
node-classification-on-cora-full-supervisedGraph ESN
Accuracy: 86.0±1.0
node-classification-on-cornellGraph ESN
Accuracy: 81.1±6.0
node-classification-on-pubmed-full-supervisedGraph ESN
Accuracy: 89.2±0.3
node-classification-on-squirrelGraph ESN
Accuracy: 71.2±1.5
node-classification-on-texasGraph ESN
Accuracy: 84.3±4.4
node-classification-on-wisconsinGraph ESN
Accuracy: 83.3±3.8

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Beyond Homophily with Graph Echo State Networks | Papers | HyperAI