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Theoretical studies on the representation power of GNNs have been centered around understanding the equivalence of GNNs, using WL-Tests for detecting graph isomorphism. In this paper, we argue that such equivalence ignores the accompanying…

Machine Learning · Computer Science 2024-08-26 P. Krishna Kumar a , Harish G. Ramaswamy

Graph neural networks (GNNs) are powerful tools for learning from graph data and are widely used in various applications such as social network recommendation, fraud detection, and graph search. The graphs in these applications are…

Machine Learning · Computer Science 2021-06-14 Jialin Dong , Da Zheng , Lin F. Yang , Geroge Karypis

Heterogeneous graph neural network has unleashed great potential on graph representation learning and shown superior performance on downstream tasks such as node classification and clustering. Existing heterogeneous graph learning networks…

Machine Learning · Computer Science 2022-11-01 Tiehua Zhang , Yuze Liu , Yao Yao , Youhua Xia , Xin Chen , Xiaowei Huang , Jiong Jin

Graph pooling is commonly applied in graph classification, yet its empirical gains over standard WL-1 expressive GNNs are often marginal or inconsistent. We study this gap by analysing the interaction between node features and graph…

Machine Learning · Computer Science 2026-05-08 Jan von Pichowski , Alžbeta Hrabošová , Ingo Scholtes , Christopher Blöcker

Graph convolutional networks (GCNs) are \emph{discriminative models} that directly model the class posterior $p(y|\mathbf{x})$ for semi-supervised classification of graph data. While being effective, as a representation learning approach,…

Machine Learning · Computer Science 2023-05-30 Tianchun Wang , Farzaneh Mirzazadeh , Xiang Zhang , Jie Chen

Recently emerged Topological Deep Learning (TDL) methods aim to extend current Graph Neural Networks (GNN) by naturally processing higher-order interactions, going beyond the pairwise relations and local neighborhoods defined by graph…

Graph Neural Networks (GNNs) have attracted considerable attention and have emerged as a new promising paradigm to process graph-structured data. GNNs are usually stacked to multiple layers and the node representations in each layer are…

Machine Learning · Computer Science 2020-09-25 Yihao Chen , Xin Tang , Xianbiao Qi , Chun-Guang Li , Rong Xiao

Graph condensation aims to reduce the size of a large-scale graph dataset by synthesizing a compact counterpart without sacrificing the performance of Graph Neural Networks (GNNs) trained on it, which has shed light on reducing the…

Machine Learning · Computer Science 2024-06-19 Yuchen Zhang , Tianle Zhang , Kai Wang , Ziyao Guo , Yuxuan Liang , Xavier Bresson , Wei Jin , Yang You

Graph neural networks (GNNs) are widely used for learning node embeddings in graphs, typically adopting a message-passing scheme. This approach, however, leads to the neighbor explosion problem, with exponentially growing computational and…

Machine Learning · Computer Science 2025-07-08 Zichao Yue , Chenhui Deng , Zhiru Zhang

Recently, graph prompt learning has garnered increasing attention in adapting pre-trained GNN models for downstream graph learning tasks. However, existing works generally conduct prompting over all graph elements (e.g., nodes, edges, node…

Machine Learning · Computer Science 2024-10-30 Bo Jiang , Hao Wu , Beibei Wang , Jin Tang , Bin Luo

Graph Neural Networks (GNNs) have led to state-of-the-art performance on a variety of machine learning tasks such as recommendation, node classification and link prediction. Graph neural network models generate node embeddings by merging…

Machine Learning · Computer Science 2020-11-04 Yunpeng Weng , Xu Chen , Liang Chen , Wei Liu

Graph neural networks (GNNs) demonstrate a robust capability for representation learning on graphs with complex structures, showcasing superior performance in various applications. The majority of existing GNNs employ a graph convolution…

Machine Learning · Computer Science 2025-02-19 Jinlu Wang , Jipeng Guo , Yanfeng Sun , Junbin Gao , Shaofan Wang , Yachao Yang , Baocai Yin

Hierarchical graph pooling(HGP) are designed to consider the fact that conventional graph neural networks(GNN) are inherently flat and are also not multiscale. However, most HGP methods suffer not only from lack of considering global…

Machine Learning · Computer Science 2025-04-14 Farshad Noravesh , Reza Haffari , Layki Soon , Arghya Pal

Graph coarsening is a widely used dimensionality reduction technique for approaching large-scale graph machine learning problems. Given a large graph, graph coarsening aims to learn a smaller-tractable graph while preserving the properties…

Machine Learning · Statistics 2022-10-04 Manoj Kumar , Anurag Sharma , Sandeep Kumar

Graph-structured data plays a vital role in numerous domains, such as social networks, citation networks, commonsense reasoning graphs and knowledge graphs. While graph neural networks have been employed for graph processing, recent…

Computation and Language · Computer Science 2026-05-19 Wooyoung Kim , Byungyoon Park , Wooju Kim

Network representation learning (NRL) is a powerful technique for learning low-dimensional vector representation of high-dimensional and sparse graphs. Most studies explore the structure and metadata associated with the graph using random…

Machine Learning · Computer Science 2020-01-30 Zekarias T. Kefato , Sarunas Girdzijauskas

Graph Convolutional Networks (GCNs) have shown to be effective in handling unordered data like point clouds and meshes. In this work we propose novel approaches for graph convolution, pooling and unpooling, inspired from finite differences…

Computer Vision and Pattern Recognition · Computer Science 2020-10-23 Moshe Eliasof , Eran Treister

Graph pooling methods have been widely used on downsampling graphs, achieving impressive results on multiple graph-level tasks like graph classification and graph generation. An important line called node dropping pooling aims at exploiting…

Artificial Intelligence · Computer Science 2023-11-01 Gaichao Li , Jinsong Chen , John E. Hopcroft , Kun He

Most convolutional neural networks use some method for gradually downscaling the size of the hidden layers. This is commonly referred to as pooling, and is applied to reduce the number of parameters, improve invariance to certain…

Computer Vision and Pattern Recognition · Computer Science 2018-04-13 Faraz Saeedan , Nicolas Weber , Michael Goesele , Stefan Roth

Graph Neural Nets (GNNs) have received increasing attentions, partially due to their superior performance in many node and graph classification tasks. However, there is a lack of understanding on what they are learning and how sophisticated…

Machine Learning · Computer Science 2020-06-11 Ting Chen , Song Bian , Yizhou Sun