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Graph neural networks (GNNs) have been widely used in representation learning on graphs and achieved state-of-the-art performance in tasks such as node classification and link prediction. However, most existing GNNs are designed to learn…

Machine Learning · Computer Science 2020-02-06 Seongjun Yun , Minbyul Jeong , Raehyun Kim , Jaewoo Kang , Hyunwoo J. Kim

We present our ongoing work on understanding the limitations of graph convolutional networks (GCNs) as well as our work on generalizations of graph convolutions for representing more complex node attribute dependencies. Based on an analysis…

Machine Learning · Computer Science 2018-05-07 Mathias Niepert , Alberto Garcia-Duran

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

Graphs serve as generic tools to encode the underlying relational structure of data. Often this graph is not given, and so the task of inferring it from nodal observations becomes important. Traditional approaches formulate a convex inverse…

Machine Learning · Computer Science 2024-06-24 Max Wasserman , Gonzalo Mateos

When facing graph signal processing tasks, the workhorse assumption is that the graph describing the support of the signals is known. However, in many relevant applications the available graph suffers from observation errors and…

Signal Processing · Electrical Eng. & Systems 2024-12-03 Samuel Rey , Victor M. Tenorio , Antonio G. Marques

Mining graph data has become a popular research topic in computer science and has been widely studied in both academia and industry given the increasing amount of network data in the recent years. However, the huge amount of network data…

Machine Learning · Computer Science 2020-01-03 Wenwu Zhu , Xin Wang , Peng Cui

Graph convolution networks (GCNs) have been enormously successful in learning representations over several graph-based machine learning tasks. Specific to learning rich node representations, most of the methods have solely relied on the…

Machine Learning · Computer Science 2022-11-03 Ashish Tiwari , Sresth Tosniwal , Shanmuganathan Raman

Graph-structured data arise in many scenarios. A fundamental problem is to quantify the similarities of graphs for tasks such as classification. R-convolution graph kernels are positive-semidefinite functions that decompose graphs into…

Machine Learning · Computer Science 2022-01-25 Wei Ye , Omid Askarisichani , Alex Jones , Ambuj Singh

When approaching graph signal processing tasks, graphs are usually assumed to be perfectly known. However, in many practical applications, the observed (inferred) network is prone to perturbations which, if ignored, will hinder performance.…

Signal Processing · Electrical Eng. & Systems 2021-03-11 Samuel Rey , Antonio G. Marques

Graph Neural Networks (GNNs) have emerged as a powerful and flexible framework for representation learning on irregular data. As they generalize the operations of classical CNNs on grids to arbitrary topologies, GNNs also bring much of the…

Machine Learning · Computer Science 2021-03-31 Mehdi Bahri , Gaétan Bahl , Stefanos Zafeiriou

Knowledge representation learning has been commonly adopted to incorporate knowledge graph (KG) into various online services. Although existing knowledge representation learning methods have achieved considerable performance improvement,…

Machine Learning · Computer Science 2022-05-18 Binbin Hu , Zhiyang Hu , Zhiqiang Zhang , Jun Zhou , Chuan Shi

Graph Neural Networks (GNNs) have risen to prominence in learning representations for graph structured data. A single GNN layer typically consists of a feature transformation and a feature aggregation operation. The former normally uses…

Machine Learning · Computer Science 2021-10-19 Yao Ma , Xiaorui Liu , Tong Zhao , Yozen Liu , Jiliang Tang , Neil Shah

Graph Neural Networks (GNNs) have emerged as a powerful tool to capture intricate network patterns, achieving success across different domains. However, existing GNNs require careful domain-specific architecture designs and training from…

Machine Learning · Computer Science 2025-05-30 Jingzhe Liu , Haitao Mao , Zhikai Chen , Bingheng Li , Wenqi Fan , Mingxuan Ju , Tong Zhao , Neil Shah , Jiliang Tang

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…

Machine Learning · Computer Science 2023-05-29 Ziang Chen , Jialin Liu , Xinshang Wang , Jianfeng Lu , Wotao Yin

Graph neural networks (GNN) suffer from severe inefficiency. It is mainly caused by the exponential growth of node dependency with the increase of layers. It extremely limits the application of stochastic optimization algorithms so that the…

Machine Learning · Computer Science 2024-04-23 Hongyuan Zhang , Yanan Zhu , Xuelong Li

Graph Neural Networks (GNN) rely on graph convolutions to learn features from network data. GNNs are stable to different types of perturbations of the underlying graph, a property that they inherit from graph filters. In this paper we…

Machine Learning · Computer Science 2022-02-11 Juan Cervino , Luana Ruiz , Alejandro Ribeiro

Graphs arise naturally in many real-world applications including social networks, recommender systems, ontologies, biology, and computational finance. Traditionally, machine learning models for graphs have been mostly designed for static…

Machine Learning · Computer Science 2020-04-28 Seyed Mehran Kazemi , Rishab Goel , Kshitij Jain , Ivan Kobyzev , Akshay Sethi , Peter Forsyth , Pascal Poupart

Graph Neural Networks (GNNs) have achieved impressive performance in collaborative filtering. However, GNNs tend to yield inferior performance when the distributions of training and test data are not aligned well. Also, training GNNs…

Machine Learning · Computer Science 2023-07-19 Huiyuan Chen , Chin-Chia Michael Yeh , Yujie Fan , Yan Zheng , Junpeng Wang , Vivian Lai , Mahashweta Das , Hao Yang

Polynomial filters, a kind of Graph Neural Networks, typically use a predetermined polynomial basis and learn the coefficients from the training data. It has been observed that the effectiveness of the model is highly dependent on the…

Machine Learning · Computer Science 2023-07-04 Yuhe Guo , Zhewei Wei

Graph filtering is the cornerstone operation in graph signal processing (GSP). Thus, understanding it is key in developing potent GSP methods. Graph filters are local and distributed linear operations, whose output depends only on the local…

Signal Processing · Electrical Eng. & Systems 2022-12-21 T. Mitchell Roddenberry , Fernando Gama , Richard G. Baraniuk , Santiago Segarra
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