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Existing Graph Neural Networks (GNNs) are limited to process graphs each of whose vertices is represented by a vector or a single value, limited their representing capability to describe complex objects. In this paper, we propose the first…

Machine Learning · Computer Science 2024-07-02 Jiongshu Wang , Jing Yang , Jiankang Deng , Hatice Gunes , Siyang Song

Convolutional Neural Networks (CNNs) have recently led to incredible breakthroughs on a variety of pattern recognition problems. Banks of finite impulse response filters are learned on a hierarchy of layers, each contributing more abstract…

Computer Vision and Pattern Recognition · Computer Science 2017-07-18 Felipe Petroski Such , Shagan Sah , Miguel Dominguez , Suhas Pillai , Chao Zhang , Andrew Michael , Nathan Cahill , Raymond Ptucha

Deep Convolutional Neural Networks (CNNs) are capable of learning unprecedentedly effective features from images. Some researchers have struggled to enhance the parameters' efficiency using grouped convolution. However, the relation between…

Computer Vision and Pattern Recognition · Computer Science 2017-06-22 Yujia Chen , Ce Li

Graph Neural Networks (GNNs) rely on graph convolutions to exploit meaningful patterns in networked data. Based on matrix multiplications, convolutions incur in high computational costs leading to scalability limitations in practice. To…

Machine Learning · Computer Science 2022-10-28 Juan Cervino , Luana Ruiz , Alejandro Ribeiro

Graph neural networks have shown significant success in the field of graph representation learning. Graph convolutions perform neighborhood aggregation and represent one of the most important graph operations. Nevertheless, one layer of…

Machine Learning · Computer Science 2020-07-21 Meng Liu , Hongyang Gao , Shuiwang Ji

Graph classification aims to extract accurate information from graph-structured data for classification and is becoming more and more important in graph learning community. Although Graph Neural Networks (GNNs) have been successfully…

Machine Learning · Computer Science 2020-06-24 Ning Ma , Jiajun Bu , Jieyu Yang , Zhen Zhang , Chengwei Yao , Zhi Yu , Sheng Zhou , Xifeng Yan

We present GERN, a novel scalable framework for training GNNs in node classification tasks, based on effective resistance, a standard tool in spectral graph theory. Our method progressively refines the GNN weights on a sequence of random…

Machine Learning · Computer Science 2025-02-25 Francesco Bonchi , Claudio Gentile , Francesco Paolo Nerini , André Panisson , Fabio Vitale

Graph condensation, which reduces the size of a large-scale graph by synthesizing a small-scale condensed graph as its substitution, has immediate benefits for various graph learning tasks. However, existing graph condensation methods rely…

Machine Learning · Computer Science 2023-10-24 Xin Zheng , Miao Zhang , Chunyang Chen , Quoc Viet Hung Nguyen , Xingquan Zhu , Shirui Pan

In this work, we are interested in generalizing convolutional neural networks (CNNs) from low-dimensional regular grids, where image, video and speech are represented, to high-dimensional irregular domains, such as social networks, brain…

Machine Learning · Computer Science 2017-02-07 Michaël Defferrard , Xavier Bresson , Pierre Vandergheynst

We address the efficiency issue for the construction of a deep graph neural network (GNN). The approach exploits the idea of representing each input graph as a fixed point of a dynamical system (implemented through a recurrent neural…

Machine Learning · Computer Science 2019-11-21 Claudio Gallicchio , Alessio Micheli

Inferring missing links or detecting spurious ones based on observed graphs, known as link prediction, is a long-standing challenge in graph data analysis. With the recent advances in deep learning, graph neural networks have been used for…

Social and Information Networks · Computer Science 2023-01-03 Xingping Xian , Tao Wu , Xiaoke Ma , Shaojie Qiao , Yabin Shao , Chao Wang , Lin Yuan , Yu Wu

Graph neural networks (GNNs) are a class of neural networks that allow to efficiently perform inference on data that is associated to a graph structure, such as, e.g., citation networks or knowledge graphs. While several variants of GNNs…

Neural and Evolutionary Computing · Computer Science 2018-02-27 Simone Scardapane , Steven Van Vaerenbergh , Danilo Comminiello , Aurelio Uncini

Graphs are a powerful tool for representing and analyzing unstructured, non-Euclidean data ubiquitous in the healthcare domain. Two prominent examples are molecule property prediction and brain connectome analysis. Importantly, recent works…

Machine Learning · Computer Science 2022-04-04 Kamilia Mullakaeva , Luca Cosmo , Anees Kazi , Seyed-Ahmad Ahmadi , Nassir Navab , Michael M. Bronstein

The decoupled Graph Convolutional Network (GCN), a recent development of GCN that decouples the neighborhood aggregation and feature transformation in each convolutional layer, has shown promising performance for graph representation…

Machine Learning · Computer Science 2022-11-16 Jinsong Chen , Boyu Li , Kun He

Recent work has shown that a simple, fast method called Simple Graph Convolution (SGC) (Wu et al., 2019), which eschews deep learning, is competitive with deep methods like graph convolutional networks (GCNs) (Kipf & Welling, 2017) in…

Machine Learning · Computer Science 2022-06-07 Sudhanshu Chanpuriya , Cameron Musco

Due to the nature of deep learning approaches, it is inherently difficult to understand which aspects of a molecular graph drive the predictions of the network. As a mitigation strategy, we constrain certain weights in a multi-task graph…

Machine Learning · Computer Science 2020-11-25 Ryan Henderson , Djork-Arné Clevert , Floriane Montanari

Superior performance and ease of implementation have fostered the adoption of Convolutional Neural Networks (CNNs) for a wide array of inference and reconstruction tasks. CNNs implement three basic blocks: convolution, pooling and pointwise…

Machine Learning · Computer Science 2018-03-07 Fernando Gama , Antonio G. Marques , Alejandro Ribeiro , Geert Leus

This paper explores the applications and challenges of graph neural networks (GNNs) in processing complex graph data brought about by the rapid development of the Internet. Given the heterogeneity and redundancy problems that graph data…

Machine Learning · Computer Science 2024-10-24 Jianjun Wei , Yue Liu , Xin Huang , Xin Zhang , Wenyi Liu , Xu Yan

\textbf{G}raph \textbf{C}onvolutional \textbf{N}etwork (\textbf{GCN}) is widely used in graph data learning tasks such as recommendation. However, when facing a large graph, the graph convolution is very computationally expensive thus is…

Machine Learning · Computer Science 2021-01-19 Wenhui Yu , Zheng Qin

Graph transformation that predicts graph transition from one mode to another is an important and common problem. Despite much progress in developing advanced graph transformation techniques in recent years, the fundamental assumption…

Machine Learning · Computer Science 2023-05-25 Shiyu Wang , Guangji Bai , Qingyang Zhu , Zhaohui Qin , Liang Zhao