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.

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Task Dataset Model Metric Name Metric Value Global Rank Result Benchmark
Node Classification Actor Graph ESN Accuracy 34.5 ± 0.8 # 39
Node Classification Chameleon Graph ESN Accuracy 76.2±1.2 # 7
Node Classification Citeseer Full-supervised Graph ESN Accuracy 74.5±2.1 # 6
Node Classification Cora Full-supervised Graph ESN Accuracy 86.0±1.0 # 5
Node Classification Cornell Graph ESN Accuracy 81.1±6.0 # 35
Node Classification Pubmed Full-supervised Graph ESN Accuracy 89.2±0.3 # 5
Node Classification Squirrel Graph ESN Accuracy 71.2±1.5 # 7
Node Classification Texas Graph ESN Accuracy 84.3±4.4 # 30
Node Classification Wisconsin Graph ESN Accuracy 83.3±3.8 # 38

Methods