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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

How to utilize deep learning methods for graph classification tasks has attracted considerable research attention in the past few years. Regarding graph classification tasks, the graphs to be classified may have various graph sizes (i.e.,…

Machine Learning · Computer Science 2020-04-16 Yanyan Liang , Yanfeng Zhang , Dechao Gao , Qian Xu

Graph neural networks (GNNs) have achieved remarkable success in a variety of machine learning tasks over graph data. Existing GNNs usually rely on message passing, i.e., computing node representations by gathering information from the…

Machine Learning · Computer Science 2024-10-15 Junru Zhou , Cai Zhou , Xiyuan Wang , Pan Li , Muhan Zhang

We present LaplaceGNN, a novel self-supervised graph learning framework that bypasses the need for negative sampling by leveraging spectral bootstrapping techniques. Our method integrates Laplacian-based signals into the learning process,…

Machine Learning · Computer Science 2025-06-26 Lorenzo Bini , Stephane Marchand-Maillet

Deep Graph Neural Networks (GNNs) are useful models for graph classification and graph-based regression tasks. In these tasks, graph pooling is a critical ingredient by which GNNs adapt to input graphs of varying size and structure. We…

Machine Learning · Computer Science 2020-06-25 Yu Guang Wang , Ming Li , Zheng Ma , Guido Montufar , Xiaosheng Zhuang , Yanan Fan

The construction of a meaningful graph plays a crucial role in the success of many graph-based representations and algorithms for handling structured data, especially in the emerging field of graph signal processing. However, a meaningful…

Machine Learning · Computer Science 2016-02-23 Xiaowen Dong , Dorina Thanou , Pascal Frossard , Pierre Vandergheynst

Graph neural network (GNN) is achieving remarkable performances in a variety of application domains. However, GNN is vulnerable to noise and adversarial attacks in input data. Making GNN robust against noises and adversarial attacks is an…

Machine Learning · Computer Science 2022-08-04 Bharat Runwal , Vivek , 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

We introduce a novel variant of GNN for particle tracking called Hierarchical Graph Neural Network (HGNN). The architecture creates a set of higher-level representations which correspond to tracks and assigns spacepoints to these tracks,…

High Energy Physics - Experiment · Physics 2023-03-06 Ryan Liu , Paolo Calafiura , Steven Farrell , Xiangyang Ju , Daniel Thomas Murnane , Tuan Minh Pham

Graph Neural Networks (GNNs) have shown significant success for graph-based tasks. Motivated by the prevalence of large datasets in real-world applications, pooling layers are crucial components of GNNs. By reducing the size of input…

Machine Learning · Computer Science 2026-01-13 Katharina Limbeck , Lydia Mezrag , Guy Wolf , Bastian Rieck

A key component of many graph neural networks (GNNs) is the pooling operation, which seeks to reduce the size of a graph while preserving important structural information. However, most existing graph pooling strategies rely on an…

Machine Learning · Computer Science 2023-10-17 Mahsa Mesgaran , A. Ben Hamza

Contrastive learning has emerged as a powerful tool for graph representation learning. However, most contrastive learning methods learn features of graphs with fixed coarse-grained scale, which might underestimate either local or global…

Machine Learning · Computer Science 2022-10-24 Jun Wang , Weixun Li , Changyu Hou , Xin Tang , Yixuan Qiao , Rui Fang , Pengyong Li , Peng Gao , Guotong Xie

Recent progress in Graph Neural Networks (GNNs) has greatly enhanced the ability to model complex molecular structures for predicting properties. Nevertheless, molecular data encompasses more than just graph structures, including textual…

Machine Learning · Computer Science 2024-06-04 Junjie Xu , Zongyu Wu , Minhua Lin , Xiang Zhang , Suhang Wang

Obtaining sparse, interpretable representations of observable data is crucial in many machine learning and signal processing tasks. For data representing flows along the edges of a graph, an intuitively interpretable way to obtain such…

Social and Information Networks · Computer Science 2023-11-03 Josef Hoppe , Michael T. Schaub

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 get significant attention for graph representation and classification in machine learning community. Attention mechanism applied on the neighborhood of a node improves the performance of graph neural networks.…

Machine Learning · Computer Science 2020-07-22 Sambaran Bandyopadhyay , Manasvi Aggarwal , M. Narasimha Murty

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

Subgraph classification is an emerging field in graph representation learning where the task is to classify a group of nodes (i.e., a subgraph) within a graph. Subgraph classification has applications such as predicting the cellular…

Machine Learning · Computer Science 2023-04-19 Shweta Ann Jacob , Paul Louis , Amirali Salehi-Abari

Learning the graph Laplacian from observed data is one of the most investigated and fundamental tasks in Graph Signal Processing (GSP). Different variants of the Laplacian, such as the combinatorial, signless or signed Laplacians have been…

Signal Processing · Electrical Eng. & Systems 2026-04-02 Stefania Sardellitti

Architectures for sparse hierarchical representation learning have recently been proposed for graph-structured data, but so far assume the absence of edge features in the graph. We close this gap and propose a method to pool graphs with…