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Spectral graph neural networks (GNNs) learn graph representations via spectral-domain graph convolutions. However, most existing spectral graph filters are scalar-to-scalar functions, i.e., mapping a single eigenvalue to a single filtered…

Machine Learning · Computer Science 2023-03-03 Deyu Bo , Chuan Shi , Lele Wang , Renjie Liao

Graph neural networks (GNNs) are powerful tools for handling graph-structured data. However, their design often limits them to learning only higher-order feature interactions, leaving low-order feature interactions overlooked. To address…

Machine Learning · Computer Science 2024-06-14 Minkyu Kim , Hyun-Soo Choi , Jinho Kim

Recently, there have been some breakthroughs in graph analysis by applying the graph neural networks (GNNs) following a neighborhood aggregation scheme, which demonstrate outstanding performance in many tasks. However, we observe that the…

Machine Learning · Computer Science 2021-04-13 Hanchen Wang , Defu Lian , Ying Zhang , Lu Qin , Xiangjian He , Yiguang Lin , Xuemin Lin

Graph Neural Networks (GNNs) have emerged as a powerful tool for learning on graph-structured data, finding applications in numerous domains including social network analysis and molecular biology. Within this broad category, Asynchronous…

Machine Learning · Computer Science 2025-02-26 Nicolas Bessone

Graph Neural Networks (GNNs) have been widely applied to various fields due to their powerful representations of graph-structured data. Despite the success of GNNs, most existing GNNs are designed to learn node representations on the fixed…

Machine Learning · Computer Science 2021-06-14 Seongjun Yun , Minbyul Jeong , Sungdong Yoo , Seunghun Lee , Sean S. Yi , Raehyun Kim , Jaewoo Kang , Hyunwoo J. Kim

Polynomial graph filters have been widely used as guiding principles in the design of Graph Neural Networks (GNNs). Recently, the adaptive learning of the polynomial graph filters has demonstrated promising performance for modeling graph…

Machine Learning · Computer Science 2023-07-18 Wendi Yu , Zhichao Hou , Xiaorui Liu

Graph Neural Networks (GNNs) are gaining increasing attention on graph data learning tasks in recent years. However, in many applications, graph may be coming in an incomplete form where attributes of graph nodes are partially…

Machine Learning · Computer Science 2021-06-07 Bo Jiang , Ziyan Zhang

In real-world applications, spectral Graph Neural Networks (GNNs) are powerful tools for processing diverse types of graphs. However, a single GNN often struggles to handle different graph types-such as homogeneous and heterogeneous…

Machine Learning · Computer Science 2024-12-19 Shibing Mo , Kai Wu , Qixuan Gao , Xiangyi Teng , Jing Liu

Graph neural networks (GNNs) are powerful machine learning models for various graph learning tasks. Recently, the limitations of the expressive power of various GNN models have been revealed. For example, GNNs cannot distinguish some…

Machine Learning · Computer Science 2021-01-19 Ryoma Sato , Makoto Yamada , Hisashi Kashima

The recent rapid growth in mobile data traffic entails a pressing demand for improving the throughput of the underlying wireless communication networks. Network node deployment has been considered as an effective approach for throughput…

Networking and Internet Architecture · Computer Science 2022-09-16 Yifei Yang , Dongmian Zou , Xiaofan He

Many machine learning techniques have been proposed in the last few years to process data represented in graph-structured form. Graphs can be used to model several scenarios, from molecules and materials to RNA secondary structures. Several…

Machine Learning · Computer Science 2018-11-19 Nicolò Navarin , Dinh V. Tran , Alessandro Sperduti

This paper proposes fractional order graph neural networks (FGNNs), optimized by the approximation strategy to address the challenges of local optimum of classic and fractional graph neural networks which are specialised at aggregating…

Machine Learning · Computer Science 2021-07-07 Zijian Liu , Chunbo Luo , Shuai Li , Peng Ren , Geyong Min

Spectral Graph Neural Networks (GNNs) with various graph filters have received extensive affirmation due to their promising performance in graph learning problems. However, it is known that GNNs do not always perform well. Although graph…

Machine Learning · Computer Science 2022-02-18 Zhixian Chen , Tengfei Ma , Yang Wang

Graphs play an important role in many applications. Recently, Graph Neural Networks (GNNs) have achieved promising results in graph analysis tasks. Some state-of-the-art GNN models have been proposed, e.g., Graph Convolutional Networks…

Machine Learning · Computer Science 2021-09-29 Yaoman Li , Irwin King

Recent advancements in graph learning have revolutionized the way to understand and analyze data with complex structures. Notably, Graph Neural Networks (GNNs), i.e. neural network architectures designed for learning graph representations,…

Machine Learning · Computer Science 2024-07-09 Yu Huang , Min Zhou , Menglin Yang , Zhen Wang , Muhan Zhang , Jie Wang , Hong Xie , Hao Wang , Defu Lian , Enhong Chen

In this paper, from a theoretical perspective, we study how powerful graph neural networks (GNNs) can be for learning approximation algorithms for combinatorial problems. To this end, we first establish a new class of GNNs that can solve a…

Machine Learning · Computer Science 2019-11-11 Ryoma Sato , Makoto Yamada , Hisashi Kashima

Implicit graph neural networks have gained popularity in recent years as they capture long-range dependencies while improving predictive performance in static graphs. Despite the tussle between performance degradation due to the…

Machine Learning · Computer Science 2024-06-27 Yongjian Zhong , Hieu Vu , Tianbao Yang , Bijaya Adhikari

Designing spectral convolutional networks is a formidable task in graph learning. In traditional spectral graph neural networks (GNNs), polynomial-based methods are commonly used to design filters via the Laplacian matrix. In practical…

Machine Learning · Computer Science 2024-08-19 Gongpei Zhao , Tao Wang , Yi Jin , Congyan Lang , Yidong Li , Haibin Ling

In recent years, a plethora of spectral graph neural networks (GNN) methods have utilized polynomial basis with learnable coefficients to achieve top-tier performances on many node-level tasks. Although various kinds of polynomial bases…

Machine Learning · Computer Science 2023-03-31 Qian Tao , Zhen Wang , Wenyuan Yu , Yaliang Li , Zhewei Wei

Graph Neural Networks (GNNs) have attracted increasing attention in recent years and have achieved excellent performance in semi-supervised node classification tasks. The success of most GNNs relies on one fundamental assumption, i.e., the…

Machine Learning · Computer Science 2024-12-03 Junchao Lin , Yuan Wan , Jingwen Xu , Xingchen Qi