Papers › Structural Entropy Guided Graph Hierarchical Pooling

Structural Entropy Guided Graph Hierarchical Pooling

26 Jun 2022arXiv:2206.13510archive 2025-07-28

Junran Wu, Xueyuan Chen, Ke Xu, Shangzhe Li

Following the success of convolution on non-Euclidean space, the corresponding pooling approaches have also been validated on various tasks regarding graphs. However, because of the fixed compression quota and stepwise pooling design, these hierarchical pooling methods still suffer from local structure damage and suboptimal problem. In this work, inspired by structural entropy, we propose a hierarchical pooling approach, SEP, to tackle the two issues. Specifically, without assigning the layer-specific compression quota, a global optimization algorithm is designed to generate the cluster assignment matrices for pooling at once. Then, we present an illustration of the local structure damage from previous methods in the reconstruction of ring and grid synthetic graphs. In addition to SEP, we further design two classification models, SEP-G and SEP-N for graph classification and node classification, respectively. The results show that SEP outperforms state-of-the-art graph pooling methods on graph classification benchmarks and obtains superior performance on node classifications.

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child_tree_deepth wu-junran/sep/SEPG/utils.py official repository ran · honoured contract MIT (permissive) · b16d0d091d08f27f · report
cut_volume wu-junran/sep/SEPG/utils.py official repository ran · fixture could not drive it MIT (permissive) · 721b31dc7e862365 · report
get_layer_graph wu-junran/sep/SEPG/data.py official repository ran MIT (permissive) · 3626d54c9c119c8f · report
graph_parse wu-junran/sep/SEPG/utils.py official repository ran · our draft was wrong fingerprinted MIT (permissive) · 21dda7ecf92b5b2c · report
integrate_label wu-junran/sep/SEPG/data.py official repository ran MIT (permissive) · 2f01cf160b34a636 · report
trans_to_adj wu-junran/sep/SEPG/trans_graph.py official repository ran · our draft was wrong MIT (permissive) · cb653477a7fefad1 · report
update_node wu-junran/sep/SEPG/trans_graph.py official repository ran · our draft was wrong MIT (permissive) · 1bc1bd0cbe71477b · report
extract_tree wu-junran/sep/SEPG/data.py official repository unverified MIT (permissive) · c07d4aca97e06e10 · report
trans_to_tree wu-junran/sep/SEPN/prepare_nodeData.py official repository unverified MIT (permissive) · b8bbf925e3fd324e · report

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ClassificationGraph ClassificationNode Classificationglobal-optimization

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Convolution

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