The Heterophilic Graph Learning Handbook: Benchmarks, Models, Theoretical Analysis, Applications and Challenges

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Hauptverfasser: Luan, Sitao, Hua, Chenqing, Lu, Qincheng, Ma, Liheng, Wu, Lirong, Wang, Xinyu, Xu, Minkai, Chang, Xiao-Wen, Precup, Doina, Ying, Rex, Li, Stan Z., Tang, Jian, Wolf, Guy, Jegelka, Stefanie
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Veröffentlicht: 2024
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author Luan, Sitao
Hua, Chenqing
Lu, Qincheng
Ma, Liheng
Wu, Lirong
Wang, Xinyu
Xu, Minkai
Chang, Xiao-Wen
Precup, Doina
Ying, Rex
Li, Stan Z.
Tang, Jian
Wolf, Guy
Jegelka, Stefanie
author_facet Luan, Sitao
Hua, Chenqing
Lu, Qincheng
Ma, Liheng
Wu, Lirong
Wang, Xinyu
Xu, Minkai
Chang, Xiao-Wen
Precup, Doina
Ying, Rex
Li, Stan Z.
Tang, Jian
Wolf, Guy
Jegelka, Stefanie
contents Homophily principle, \ie{} nodes with the same labels or similar attributes are more likely to be connected, has been commonly believed to be the main reason for the superiority of Graph Neural Networks (GNNs) over traditional Neural Networks (NNs) on graph-structured data, especially on node-level tasks. However, recent work has identified a non-trivial set of datasets where GNN's performance compared to the NN's is not satisfactory. Heterophily, i.e. low homophily, has been considered the main cause of this empirical observation. People have begun to revisit and re-evaluate most existing graph models, including graph transformer and its variants, in the heterophily scenario across various kinds of graphs, e.g. heterogeneous graphs, temporal graphs and hypergraphs. Moreover, numerous graph-related applications are found to be closely related to the heterophily problem. In the past few years, considerable effort has been devoted to studying and addressing the heterophily issue. In this survey, we provide a comprehensive review of the latest progress on heterophilic graph learning, including an extensive summary of benchmark datasets and evaluation of homophily metrics on synthetic graphs, meticulous classification of the most updated supervised and unsupervised learning methods, thorough digestion of the theoretical analysis on homophily/heterophily, and broad exploration of the heterophily-related applications. Notably, through detailed experiments, we are the first to categorize benchmark heterophilic datasets into three sub-categories: malignant, benign and ambiguous heterophily. Malignant and ambiguous datasets are identified as the real challenging datasets to test the effectiveness of new models on the heterophily challenge. Finally, we propose several challenges and future directions for heterophilic graph representation learning.
format Preprint
id arxiv_https___arxiv_org_abs_2407_09618
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The Heterophilic Graph Learning Handbook: Benchmarks, Models, Theoretical Analysis, Applications and Challenges
Luan, Sitao
Hua, Chenqing
Lu, Qincheng
Ma, Liheng
Wu, Lirong
Wang, Xinyu
Xu, Minkai
Chang, Xiao-Wen
Precup, Doina
Ying, Rex
Li, Stan Z.
Tang, Jian
Wolf, Guy
Jegelka, Stefanie
Machine Learning
Social and Information Networks
Homophily principle, \ie{} nodes with the same labels or similar attributes are more likely to be connected, has been commonly believed to be the main reason for the superiority of Graph Neural Networks (GNNs) over traditional Neural Networks (NNs) on graph-structured data, especially on node-level tasks. However, recent work has identified a non-trivial set of datasets where GNN's performance compared to the NN's is not satisfactory. Heterophily, i.e. low homophily, has been considered the main cause of this empirical observation. People have begun to revisit and re-evaluate most existing graph models, including graph transformer and its variants, in the heterophily scenario across various kinds of graphs, e.g. heterogeneous graphs, temporal graphs and hypergraphs. Moreover, numerous graph-related applications are found to be closely related to the heterophily problem. In the past few years, considerable effort has been devoted to studying and addressing the heterophily issue. In this survey, we provide a comprehensive review of the latest progress on heterophilic graph learning, including an extensive summary of benchmark datasets and evaluation of homophily metrics on synthetic graphs, meticulous classification of the most updated supervised and unsupervised learning methods, thorough digestion of the theoretical analysis on homophily/heterophily, and broad exploration of the heterophily-related applications. Notably, through detailed experiments, we are the first to categorize benchmark heterophilic datasets into three sub-categories: malignant, benign and ambiguous heterophily. Malignant and ambiguous datasets are identified as the real challenging datasets to test the effectiveness of new models on the heterophily challenge. Finally, we propose several challenges and future directions for heterophilic graph representation learning.
title The Heterophilic Graph Learning Handbook: Benchmarks, Models, Theoretical Analysis, Applications and Challenges
topic Machine Learning
Social and Information Networks
url https://arxiv.org/abs/2407.09618