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We analyze the performance of graph neural network (GNN) architectures from the perspective of random graph theory. Our approach promises to complement existing lenses on GNN analysis, such as combinatorial expressive power and worst-case…

机器学习 · 计算机科学 2023-10-12 Drake Brown , Trevor Garrity , Kaden Parker , Jason Oliphant , Stone Carson , Cole Hanson , Zachary Boyd

Message-passing neural networks (MPNNs) are the leading architecture for deep learning on graph-structured data, in large part due to their simplicity and scalability. Unfortunately, it was shown that these architectures are limited in…

While hyperbolic GNNs show promise for hierarchical data, they often have limited discriminative power compared to Euclidean counterparts or the WL test, due to non-injective aggregation. To address this expressivity gap, we propose the…

机器学习 · 计算机科学 2025-07-21 Srinitish Srinivasan , Omkumar CU

Graph Neural Networks (GNNs) are a predominant method for graph representation learning. However, beyond subgraph frequency estimation, their application to network motif significance-profile (SP) prediction remains under-explored, with no…

机器学习 · 计算机科学 2025-07-11 Pedro C. Vieira , Miguel E. P. Silva , Pedro Manuel Pinto Ribeiro

Subgraph representation learning has been effective in solving various real-world problems. However, current graph neural networks (GNNs) produce suboptimal results for subgraph-level tasks due to their inability to capture complex…

机器学习 · 计算机科学 2025-11-12 Dongkwan Kim , Alice Oh

Fine-tuning pre-trained models has recently yielded remarkable performance gains in graph neural networks (GNNs). In addition to pre-training techniques, inspired by the latest work in the natural language fields, more recent work has…

机器学习 · 计算机科学 2023-12-12 Shengrui Li , Xueting Han , Jing Bai

Message Passing Neural Networks (MPNNs) are a common type of Graph Neural Network (GNN), in which each node's representation is computed recursively by aggregating representations (messages) from its immediate neighbors akin to a…

机器学习 · 计算机科学 2022-04-22 Lingxiao Zhao , Wei Jin , Leman Akoglu , Neil Shah

Learning to optimize is a rapidly growing area that aims to solve optimization problems or improve existing optimization algorithms using machine learning (ML). In particular, the graph neural network (GNN) is considered a suitable ML model…

机器学习 · 计算机科学 2023-05-29 Ziang Chen , Jialin Liu , Xinshang Wang , Jianfeng Lu , Wotao Yin

Graph Neural Networks (GNNs) have emerged in recent years as a powerful tool to learn tasks across a wide range of graph domains in a data-driven fashion; based on a message passing mechanism, GNNs have gained increasing popularity due to…

机器学习 · 统计学 2024-04-03 Giuseppe Alessio D'Inverno , Monica Bianchini , Franco Scarselli

Graph Neural Networks (GNNs) are widely used to compute representations of node pairs for downstream tasks such as link prediction. Yet, theoretical understanding of their expressive power has focused almost entirely on graph-level…

机器学习 · 计算机科学 2025-07-01 Veronica Lachi , Francesco Ferrini , Antonio Longa , Bruno Lepri , Andrea Passerini , Manfred Jaeger

Graph neural networks (GNNs) are effective machine learning models for various graph learning problems. Despite their empirical successes, the theoretical limitations of GNNs have been revealed recently. Consequently, many GNN models have…

机器学习 · 计算机科学 2020-10-19 Ryoma Sato

Graph neural networks (GNNs) are widely applied in graph data modeling. However, existing GNNs are often trained in a task-driven manner that fails to fully capture the intrinsic nature of the graph structure, resulting in sub-optimal node…

机器学习 · 计算机科学 2024-07-17 Zhenhua Huang , Kunhao Li , Shaojie Wang , Zhaohong Jia , Wentao Zhu , Sharad Mehrotra

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…

机器学习 · 计算机科学 2022-08-04 Bharat Runwal , Vivek , Sandeep Kumar

Message passing neural networks (MPNNs) learn the representation of graph-structured data based on graph original information, including node features and graph structures, and have shown astonishing improvement in node classification…

机器学习 · 计算机科学 2023-01-30 Xiao Liu , Lijun Zhang , Hui Guan

Graph Neural Networks (GNNs) are widely used for node classification, yet their opaque decision-making limits trust and adoption. While local explanations offer insights into individual predictions, global explanation methods, those that…

机器学习 · 计算机科学 2025-10-30 Burouj Armgaan , Eshan Jain , Harsh Pandey , Mahesh Chandran , Sayan Ranu

The lack of anisotropic kernels in graph neural networks (GNNs) strongly limits their expressiveness, contributing to well-known issues such as over-smoothing. To overcome this limitation, we propose the first globally consistent…

Unsupervised graph alignment finds the node correspondence between a pair of attributed graphs by only exploiting graph structure and node features. One category of recent studies first computes the node representation and then matches…

机器学习 · 计算机科学 2025-05-07 Songyang Chen , Yu Liu , Lei Zou , Zexuan Wang , Youfang Lin

Graph neural networks have demonstrated remarkable success in predicting molecular properties by leveraging the rich structural information encoded in molecular graphs. However, their black-box nature reduces interpretability, which limits…

机器学习 · 计算机科学 2025-08-22 Sebastian Musiał , Bartosz Zieliński , Tomasz Danel

Graph Neural Networks (GNNs) are a broad class of connectionist models for graph processing. Recent studies have shown that GNNs can approximate any function on graphs, modulo the equivalence relation on graphs defined by the…

机器学习 · 计算机科学 2024-08-21 Giuseppe Alessio D'Inverno , Monica Bianchini , Maria Lucia Sampoli , Franco Scarselli

Graph Neural Networks (GNNs) have emerged as a dominant approach in graph representation learning, yet they often struggle to capture consistent similarity relationships among graphs. While graph kernel methods such as the Weisfeiler-Lehman…

机器学习 · 计算机科学 2024-12-12 Xuyuan Liu , Yinghao Cai , Qihui Yang , Yujun Yan