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In graph neural networks (GNNs), pooling operators compute local summaries of input graphs to capture their global properties, and they are fundamental for building deep GNNs that learn hierarchical representations. In this work, we propose…

Machine Learning · Computer Science 2024-04-23 Filippo Maria Bianchi , Daniele Grattarola , Lorenzo Livi , Cesare Alippi

Recently, there has been an emerging trend to integrate persistent homology (PH) into graph neural networks (GNNs) to enrich expressive power. However, naively plugging PH features into GNN layers always results in marginal improvement with…

Machine Learning · Computer Science 2024-10-21 Chaolong Ying , Xinjian Zhao , Tianshu Yu

Graph neural networks (GNN) has been demonstrated to be effective in classifying graph structures. To further improve the graph representation learning ability, hierarchical GNN has been explored. It leverages the differentiable pooling to…

Social and Information Networks · Computer Science 2019-12-19 Kaixiong Zhou , Qingquan Song , Xiao Huang , Daochen Zha , Na Zou , Xia Hu

Graph pooling is a crucial operation for encoding hierarchical structures within graphs. Most existing graph pooling approaches formulate the problem as a node clustering task which effectively captures the graph topology. Conventional…

Artificial Intelligence · Computer Science 2023-10-12 Sung Moon Ko , Sungjun Cho , Dae-Woong Jeong , Sehui Han , Moontae Lee , Honglak Lee

Inspired by the conventional pooling layers in convolutional neural networks, many recent works in the field of graph machine learning have introduced pooling operators to reduce the size of graphs. The great variety in the literature stems…

Machine Learning · Computer Science 2024-03-26 Daniele Grattarola , Daniele Zambon , Filippo Maria Bianchi , Cesare Alippi

Graph pooling has been increasingly recognized as crucial for Graph Neural Networks (GNNs) to facilitate hierarchical graph representation learning. Existing graph pooling methods commonly consist of two stages: selecting top-ranked nodes…

Machine Learning · Computer Science 2023-11-22 Chuang Liu , Wenhang Yu , Kuang Gao , Xueqi Ma , Yibing Zhan , Jia Wu , Bo Du , Wenbin Hu

The spatial convolution layer which is widely used in the Graph Neural Networks (GNNs) aggregates the feature vector of each node with the feature vectors of its neighboring nodes. The GNN is not aware of the locations of the nodes in the…

Machine Learning · Computer Science 2019-10-04 Mostafa Rahmani , Ping Li

Graph Neural Networks (GNNs) have achieved strong performance across a range of graph representation learning tasks, yet their adversarial robustness in graph classification remains underexplored compared to node classification. While most…

Machine Learning · Computer Science 2025-10-28 Sofiane Ennadir , Oleg Smirnov , Yassine Abbahaddou , Lele Cao , Johannes F. Lutzeyer

In this paper we propose a pooling approach for convolutional information processing on graphs relying on the theory of graphons and limits of dense graph sequences. We present three methods that exploit the induced graphon representation…

Machine Learning · Computer Science 2023-08-24 Alejandro Parada-Mayorga , Zhiyang Wang , Alejandro Ribeiro

While message passing Graph Neural Networks (GNNs) have become increasingly popular architectures for learning with graphs, recent works have revealed important shortcomings in their expressive power. In response, several higher-order GNNs…

Machine Learning · Computer Science 2025-02-28 Behrooz Tahmasebi , Derek Lim , Stefanie Jegelka

Graph neural networks (GNN) have been proven to be mature enough for handling graph-structured data on node-level graph representation learning tasks. However, the graph pooling technique for learning expressive graph-level representation…

Machine Learning · Computer Science 2021-04-14 Ning Liu , Songlei Jian , Dongsheng Li , Yiming Zhang , Zhiquan Lai , Hongzuo Xu

While graph neural networks (GNNs) have been successful for node classification tasks and link prediction tasks in graph, learning graph-level representations still remains a challenge. For the graph-level representation, it is important to…

Machine Learning · Computer Science 2023-03-02 Sangseon Lee , Dohoon Lee , Yinhua Piao , Sun Kim

Downsampling produces coarsened, multi-resolution representations of data and it is used, for example, to produce lossy compression and visualization of large images, reduce computational costs, and boost deep neural representation…

Machine Learning · Computer Science 2023-07-04 Davide Bacciu , Alessio Conte , Francesco Landolfi

We propose a deep Graph Neural Network (GNN) model that alternates two types of layers. The first type is inspired by Reservoir Computing (RC) and generates new vertex features by iterating a non-linear map until it converges to a fixed…

Machine Learning · Computer Science 2021-04-13 Filippo Maria Bianchi , Claudio Gallicchio , Alessio Micheli

Graph neural networks (GNNs) have led to major breakthroughs in a variety of domains such as drug discovery, social network analysis, and travel time estimation. However, they lack interpretability which hinders human trust and thereby…

Machine Learning · Computer Science 2023-12-05 Jonas Jürß , Lucie Charlotte Magister , Pietro Barbiero , Pietro Liò , Nikola Simidjievski

The integration of Graph Neural Networks (GNNs) with Large Language Models (LLMs) has emerged as a promising paradigm for Graph Question Answering (GraphQA). However, effective methods for encoding complex structural information into the…

Machine Learning · Computer Science 2026-04-02 Ankit Grover , Lodovico Giaretta , Rémi Bourgerie , Sarunas Girdzijauskas

Graph-level representation learning is the pivotal step for downstream tasks that operate on the whole graph. The most common approach to this problem heretofore is graph pooling, where node features are typically averaged or summed to…

Machine Learning · Computer Science 2022-09-20 Kaixuan Chen , Jie Song , Shunyu Liu , Na Yu , Zunlei Feng , Gengshi Han , Mingli Song

Graph convolutional neural networks (GCNNs) are a powerful extension of deep learning techniques to graph-structured data problems. We empirically evaluate several pooling methods for GCNNs, and combinations of those graph pooling methods…

Signal Processing · Electrical Eng. & Systems 2020-04-08 Mark Cheung , John Shi , Lavender Yao Jiang , Oren Wright , José M. F. Moura

Graph Neural Network (GNN) research has concentrated on improving convolutional layers, with little attention paid to developing graph pooling layers. Yet pooling layers can enable GNNs to reason over abstracted groups of nodes instead of…

Machine Learning · Computer Science 2019-05-28 Frederik Diehl

Graph neural networks (GNNs) are one of the most popular approaches to using deep learning on graph-structured data, and they have shown state-of-the-art performances on a variety of tasks. However, according to a recent study, a careful…

Machine Learning · Computer Science 2021-10-08 Jihoon Ko , Taehyung Kwon , Kijung Shin , Juho Lee