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Graph sampling with noise is a fundamental problem in graph signal processing (GSP). Previous works assume an unbiased least square (LS) signal reconstruction scheme and select samples greedily via expensive extreme eigenvector computation.…

信号处理 · 电气工程与系统科学 2019-02-19 Yuanchao Bai , Gene Cheung , Fen Wang , Xianming Liu , Wen Gao

Graph Neural Networks (GNNs) have been widely used to learn node representations and with outstanding performance on various tasks such as node classification. However, noise, which inevitably exists in real-world graph data, would…

机器学习 · 计算机科学 2022-06-06 Yancheng Wang , Yingzhen Yang

In this paper, we consider an inverse problem in graph learning domain -- ``given the graph representations smoothed by Graph Convolutional Network (GCN), how can we reconstruct the input graph signal?" We propose Graph Deconvolutional…

机器学习 · 计算机科学 2021-11-01 Jia Li , Jiajin Li , Yang Liu , Jianwei Yu , Yueting Li , Hong Cheng

Accurate prediction of network-wide traffic conditions is essential for intelligent transportation systems. In the last decade, machine learning techniques have been widely used for this task, resulting in state-of-the-art performance. We…

机器学习 · 计算机科学 2021-11-23 Lei Lin , Weizi Li , Lei Zhu

Graph Neural Networks (GNNs), particularly Graph Convolutional Neural Networks (GCNNs), have emerged as pivotal instruments in machine learning and signal processing for processing graph-structured data. This paper proposes an analysis…

机器学习 · 统计学 2024-11-04 Xinjue Wang , Esa Ollila , Sergiy A. Vorobyov

Graph Neural Network (GNN) is a powerful model to learn representations and make predictions on graph data. Existing efforts on GNN have largely defined the graph convolution as a weighted sum of the features of the connected nodes to form…

机器学习 · 计算机科学 2020-06-02 Hongmin Zhu , Fuli Feng , Xiangnan He , Xiang Wang , Yan Li , Kai Zheng , Yongdong Zhang

Graph neural networks (GNNs) excel at predictive tasks on graph-structured data but often lack the ability to incorporate symbolic domain knowledge and perform general reasoning. Relational Bayesian Networks (RBNs), in contrast, enable…

人工智能 · 计算机科学 2025-07-30 Raffaele Pojer , Andrea Passerini , Kim G. Larsen , Manfred Jaeger

Graph Convolutional Networks (GCNs) have emerged as the state-of-the-art method for graph-based learning tasks. However, training GCNs at scale is still challenging, hindering both the exploration of more sophisticated GCN architectures and…

机器学习 · 计算机科学 2022-03-29 Cheng Wan , Youjie Li , Ang Li , Nam Sung Kim , Yingyan Lin

Graph Neural Networks (GNNs) have become the de facto standard for learning on relational data. While traditional GNNs' message passing is well suited for vector-valued node features, there are cases in which node features are better…

机器学习 · 计算机科学 2026-05-21 André Ribeiro , Ana Luiza Tenório , Tiago da Silva , Diego Mesquita

Graph neural networks (GNNs) are prominent for their effectiveness in processing graph data for semi-supervised node classification tasks. Most works of GNNs assume that the observed structure accurately represents the underlying node…

机器学习 · 计算机科学 2024-11-08 Shuangjie Li , Jiangqing Song , Baoming Zhang , Gaoli Ruan , Junyuan Xie , Chongjun Wang

Graph clustering, a classical task in graph learning, involves partitioning the nodes of a graph into distinct clusters. This task has applications in various real-world scenarios, such as anomaly detection, social network analysis, and…

机器学习 · 计算机科学 2024-08-09 Xiaoyang Ji , Yuchen Zhou , Haofu Yang , Shiyue Xu , Jiahao Li

Graph Convolutional Network (GCN) has experienced great success in graph analysis tasks. It works by smoothing the node features across the graph. The current GCN models overwhelmingly assume that the node feature information is complete.…

机器学习 · 计算机科学 2020-12-08 Hibiki Taguchi , Xin Liu , Tsuyoshi Murata

Graph condensation reduces the size of large graphs while preserving performance, addressing the scalability challenges of Graph Neural Networks caused by computational inefficiencies on large datasets. Existing methods often rely on…

机器学习 · 计算机科学 2025-10-10 Lin Wang , Qing Li

This paper introduces Graph Convolutional Recurrent Network (GCRN), a deep learning model able to predict structured sequences of data. Precisely, GCRN is a generalization of classical recurrent neural networks (RNN) to data structured by…

机器学习 · 统计学 2016-12-23 Youngjoo Seo , Michaël Defferrard , Pierre Vandergheynst , Xavier Bresson

Graph neural networks (GNNs) have extended the success of deep neural networks (DNNs) to non-Euclidean graph data, achieving ground-breaking performance on various tasks such as node classification and graph property prediction.…

机器学习 · 计算机科学 2021-12-17 Tianfeng Liu , Yangrui Chen , Dan Li , Chuan Wu , Yibo Zhu , Jun He , Yanghua Peng , Hongzheng Chen , Hongzhi Chen , Chuanxiong Guo

Graph neural networks (GNNs) are shown to be successful in modeling applications with graph structures. However, training an accurate GNN model requires a large collection of labeled data and expressive features, which might be inaccessible…

机器学习 · 计算机科学 2019-06-03 Ziniu Hu , Changjun Fan , Ting Chen , Kai-Wei Chang , Yizhou Sun

We study the problem of sampling and reconstructing spectrally sparse graph signals where the objective is to select a subset of nodes of prespecified cardinality that ensures interpolation of the original signal with the lowest possible…

信号处理 · 电气工程与系统科学 2021-11-24 Abolfazl Hashemi , Rasoul Shafipour , Haris Vikalo , Gonzalo Mateos

Machine learning frameworks such as graph neural networks typically rely on a given, fixed graph to exploit relational inductive biases and thus effectively learn from network data. However, when said graphs are (partially) unobserved,…

机器学习 · 计算机科学 2022-05-20 Max Wasserman , Saurabh Sihag , Gonzalo Mateos , Alejandro Ribeiro

Unsupervised graph representation learning aims to learn low-dimensional node embeddings without supervision while preserving graph topological structures and node attributive features. Previous graph neural networks (GNN) require a large…

机器学习 · 计算机科学 2020-09-04 Yanqiao Zhu , Yichen Xu , Feng Yu , Shu Wu , Liang Wang

Gaussian Process Networks (GPNs) are a class of directed graphical models which employ Gaussian processes as priors for the conditional expectation of each variable given its parents in the network. The model allows the description of…

机器学习 · 统计学 2024-02-20 Enrico Giudice , Jack Kuipers , Giusi Moffa