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The dominant graph neural networks (GNNs) over-rely on the graph links, several serious performance problems with which have been witnessed already, e.g., suspended animation problem and over-smoothing problem. What's more, the inherently…

Machine Learning · Computer Science 2020-01-23 Jiawei Zhang , Haopeng Zhang , Congying Xia , Li Sun

In recent years, graph neural networks (GNNs) have emerged as a potent tool for learning on graph-structured data and won fruitful successes in varied fields. The majority of GNNs follow the message-passing paradigm, where representations…

Machine Learning · Computer Science 2024-08-30 Yurui Lai , Xiaoyang Lin , Renchi Yang , Hongtao Wang

Graph neural networks (GNNs) have attracted much attention due to their ability to leverage the intrinsic geometries of the underlying data. Although many different types of GNN models have been developed, with many benchmarking procedures…

Topological Data Analysis (TDA) allows us to extract powerful topological and higher-order information on the global shape of a data set or point cloud. Tools like Persistent Homology or the Euler Transform give a single complex description…

Algebraic Topology · Mathematics 2025-11-04 Vincent P. Grande , Michael T. Schaub

Graph neural networks (GNNs) have been increasingly deployed in various applications that involve learning on non-Euclidean data. However, recent studies show that GNNs are vulnerable to graph adversarial attacks. Although there are several…

Machine Learning · Computer Science 2023-01-10 Chenhui Deng , Xiuyu Li , Zhuo Feng , Zhiru Zhang

Graph Attention Networks (GATs) have emerged as powerful models for learning expressive representations from such data by adaptively weighting neighboring nodes through attention mechanisms. However, most existing approaches primarily rely…

Machine Learning · Computer Science 2026-02-05 Farshad Noravesh , Reza Haffari , Layki Soon , Arghya Pal

Lots of neural network architectures have been proposed to deal with learning tasks on graph-structured data. However, most of these models concentrate on only node features during the learning process. The edge features, which usually play…

Machine Learning · Computer Science 2021-01-20 Jun Chen , Haopeng Chen

Graph Neural Networks (GNNs) draw their strength from explicitly modeling the topological information of structured data. However, existing GNNs suffer from limited capability in capturing the hierarchical graph representation which plays…

Machine Learning · Computer Science 2021-03-30 Jinyu Yang , Peilin Zhao , Yu Rong , Chaochao Yan , Chunyuan Li , Hehuan Ma , Junzhou Huang

Recently, graph neural networks (GNNs)-based recommender systems have encountered great success in recommendation. As the number of GNNs approaches rises, some works have started questioning the theoretical and empirical reasons behind…

Forecasting electricity demand is increasingly challenging as energy systems become more decentralized and intertwined with renewable sources. Graph Neural Networks (GNNs) have recently emerged as a powerful paradigm to model spatial…

Machine Learning · Computer Science 2025-11-04 Eloi Campagne , Yvenn Amara-Ouali , Yannig Goude , Itai Zehavi , Argyris Kalogeratos

Graph neural networks (GNN) have achieved remarkable success in a wide range of tasks by encoding features combined with topology to create effective representations. However, the fundamental problem of understanding and analyzing how graph…

Machine Learning · Computer Science 2024-04-12 Kailong Wu , Yule Xie , Jiaxin Ding , Yuxiang Ren , Luoyi Fu , Xinbing Wang , Chenghu Zhou

Real-world events exhibit a high degree of interdependence and connections, and hence data points generated also inherit the linkages. However, the majority of AI/ML techniques leave out the linkages among data points. The recent surge of…

Social and Information Networks · Computer Science 2020-06-17 Shrey Dabhi , Manojkumar Parmar

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

Hypergraph data appear and are hidden in many places in the modern age. They are data structure that can be used to model many real data examples since their structures contain information about higher order relations among data points. One…

Social and Information Networks · Computer Science 2020-10-02 Dong Quan Ngoc Nguyen , Lin Xing , Lizhen Lin

In the last decade or so, we have witnessed deep learning reinvigorating the machine learning field. It has solved many problems in the domains of computer vision, speech recognition, natural language processing, and various other tasks…

Machine Learning · Computer Science 2021-09-09 Lilapati Waikhom , Ripon Patgiri

This paper is first-line research expanding GANs into graph topology analysis. By leveraging the hierarchical connectivity structure of a graph, we have demonstrated that generative adversarial networks (GANs) can successfully capture…

Machine Learning · Computer Science 2017-07-20 Weiyi Liu , Pin-Yu Chen , Hal Cooper , Min Hwan Oh , Sailung Yeung , Toyotaro Suzumura

Topological data analysis is a powerful tool for describing topological signatures in real world data. An important challenge in topological data analysis is matching significant topological signals across distinct systems. In geometry and…

Algebraic Topology · Mathematics 2025-02-19 Stephen Y Zhang , Michael P H Stumpf , Tom Needham , Agnese Barbensi

Networks and network processes have emerged as powerful tools for modeling social interactions, disease propagation, and a variety of additional dynamics driven by relational structures. Recently, neural networks have been generalized to…

Signal Processing · Electrical Eng. & Systems 2019-12-06 T. Mitchell Roddenberry , Santiago Segarra

Topological correctness plays a critical role in many image segmentation tasks, yet most networks are trained using pixel-wise loss functions, such as Dice, neglecting topological accuracy. Existing topology-aware methods often lack robust…

Computer Vision and Pattern Recognition · Computer Science 2025-04-21 Laurin Lux , Alexander H. Berger , Alexander Weers , Nico Stucki , Daniel Rueckert , Ulrich Bauer , Johannes C. Paetzold

Graph neural networks have become one of the most important techniques to solve machine learning problems on graph-structured data. Recent work on vertex classification proposed deep and distributed learning models to achieve high…

Machine Learning · Statistics 2019-05-28 Hoang NT , Takanori Maehara