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Graph rewiring has emerged as a key technique to alleviate over-squashing in Graph Neural Networks (GNNs) and Graph Transformers by modifying the graph topology to improve information flow. While effective, rewiring inherently alters the…

Machine Learning · Computer Science 2025-10-24 Alexandre Benoit , Catherine Aitken , Yu He

In this work, we study the problem of stability of Graph Convolutional Neural Networks (GCNs) under random small perturbations in the underlying graph topology, i.e. under a limited number of insertions or deletions of edges. We derive a…

Machine Learning · Computer Science 2023-12-21 Lucia Testa , Claudio Battiloro , Stefania Sardellitti , Sergio Barbarossa

Graph, as an important data representation, is ubiquitous in many real world applications ranging from social network analysis to biology. How to correctly and effectively learn and extract information from graph is essential for a large…

Machine Learning · Computer Science 2020-10-27 Xiaodong Jiang , Ronghang Zhu , Pengsheng Ji , Sheng Li

Accurate modelling and quantification of predictive uncertainty is crucial in deep learning since it allows a model to make safer decisions when the data is ambiguous and facilitates the users' understanding of the model's confidence in its…

Machine Learning · Statistics 2025-08-26 Soumyasundar Pal , Liheng Ma , Amine Natik , Yingxue Zhang , Mark Coates

Graph Neural Networks (GNNs) have shown remarkable merit in performing various learning-based tasks in complex networks. The superior performance of GNNs often correlates with the availability and quality of node-level features in the input…

Social and Information Networks · Computer Science 2023-10-20 Anwar Said , Mudassir Shabbir , Tyler Derr , Waseem Abbas , Xenofon Koutsoukos

The ability of a graph neural network (GNN) to leverage both the graph topology and graph labels is fundamental to building discriminative node and graph embeddings. Building on previous work, we theoretically show that edGNN, our model for…

Machine Learning · Computer Science 2019-12-05 Guillaume Jaume , An-phi Nguyen , María Rodríguez Martínez , Jean-Philippe Thiran , Maria Gabrani

Graph Drawing techniques have been developed in the last few years with the purpose of producing aesthetically pleasing node-link layouts. Recently, the employment of differentiable loss functions has paved the road to the massive usage of…

Machine Learning · Computer Science 2022-07-04 Matteo Tiezzi , Gabriele Ciravegna , Marco Gori

Graph Neural Networks (GNNs) have become indispensable tools for learning from graph structured data, catering to various applications such as social network analysis and fraud detection for financial services. At the heart of these…

Cryptography and Security · Computer Science 2025-06-02 Zeyu Song , Ehsanul Kabir , Shagufta Mehnaz

While Graph Neural Networks (GNNs) have achieved enormous success in multiple graph analytical tasks, modern variants mostly rely on the strong inductive bias of homophily. However, real-world networks typically exhibit both homophilic and…

Machine Learning · Computer Science 2024-09-18 Jingwei Guo , Kaizhu Huang , Rui Zhang , Xinping Yi

Genetic mutations can cause disease by disrupting normal gene function. Identifying the disease-causing mutations from millions of genetic variants within an individual patient is a challenging problem. Computational methods which can…

Machine Learning · Computer Science 2021-06-28 Jun Cheng , Carolin Lawrence , Mathias Niepert

Deep neural networks are ubiquitously adopted in many applications, such as computer vision, natural language processing, and graph analytics. However, well-trained neural networks can make prediction errors after deployment as the world…

Machine Learning · Computer Science 2024-10-29 Zhimeng Jiang , Zirui Liu , Xiaotian Han , Qizhang Feng , Hongye Jin , Qiaoyu Tan , Kaixiong Zhou , Na Zou , Xia Hu

Graph neural networks (GNNs) update the hidden representations of vertices (called Vertex-GNNs) or hidden representations of edges (called Edge-GNNs) by processing and pooling the information of neighboring vertices and edges and combining…

Machine Learning · Computer Science 2023-12-27 Yao Peng , Jia Guo , Chenyang Yang

Recently developed deep neural models like NetGAN, CELL, and Variational Graph Autoencoders have made progress but face limitations in replicating key graph statistics on generating large graphs. Diffusion-based methods have emerged as…

Machine Learning · Computer Science 2023-10-31 Mingyang Wu , Xiaohui Chen , Li-Ping Liu

Counterfactual explanations have emerged as a powerful tool to unveil the opaque decision-making processes of graph neural networks (GNNs). However, existing techniques primarily focus on edge modifications, often overlooking the crucial…

Machine Learning · Computer Science 2025-02-17 Flavio Giorgi , Fabrizio Silvestri , Gabriele Tolomei

Edges in real-world graphs are typically formed by a variety of factors and carry diverse relation semantics. For example, connections in a social network could indicate friendship, being colleagues, or living in the same neighborhood.…

Social and Information Networks · Computer Science 2022-02-24 Tianxiang Zhao , Xiang Zhang , Suhang Wang

Graph Neural Networks (GNNs) have achieved state-of-the-art performance in solving graph classification tasks. However, most GNN architectures aggregate information from all nodes and edges in a graph, regardless of their relevance to the…

Machine Learning · Statistics 2024-04-19 Pablo Sanchez-Martin , Kinaan Aamir Khan , Isabel Valera

Massive Multiple-Input Multiple-Out (MIMO) detection is an important problem in modern wireless communication systems. While traditional Belief Propagation (BP) detectors perform poorly on loopy graphs, the recent Graph Neural Networks…

Information Theory · Computer Science 2022-06-15 Hongyi Li , Junxiang Wang , Yongchao Wang

Graph Neural Network (GNNs) based methods have recently become a popular tool to deal with graph data because of their ability to incorporate structural information. The only hurdle in the performance of GNNs is the lack of labeled data.…

Machine Learning · Computer Science 2022-08-26 Maria Marrium , Arif Mahmood

Computing efficiently a robust measure of similarity or dissimilarity between graphs is a major challenge in Pattern Recognition. The Graph Edit Distance (GED) is a flexible measure of dissimilarity between graphs which arises in…

Data Structures and Algorithms · Computer Science 2015-12-24 Sébastien Bougleux , Luc Brun , Vincenzo Carletti , Pasquale Foggia , Benoit Gaüzère , Mario Vento

Graph unlearning methods aim to efficiently remove the impact of sensitive data from trained GNNs without full retraining, assuming that deleted information cannot be recovered. In this work, we challenge this assumption by introducing the…

Machine Learning · Computer Science 2025-12-09 Jiahao Zhang , Yilong Wang , Zhiwei Zhang , Xiaorui Liu , Suhang Wang
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