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Graph signals are functions of the underlying graph. When the edge-weight between a pair of nodes is high, the corresponding signals generally have a higher correlation. As a result, the signals can be represented in terms of a graph-based…

Signal Processing · Electrical Eng. & Systems 2024-09-09 Rishabh Ravi , Kaushani Majumder , Kalp Vyas , Satish Mulleti

Graph Convolutional Networks (GCNs) have been widely applied in various fields due to their significant power on processing graph-structured data. Typical GCN and its variants work under a homophily assumption (i.e., nodes with same class…

Machine Learning · Computer Science 2021-12-28 Tao Wang , Rui Wang , Di Jin , Dongxiao He , Yuxiao Huang

Social networks are considered to be heterogeneous graph neural networks (HGNNs) with deep learning technological advances. HGNNs, compared to homogeneous data, absorb various aspects of information about individuals in the training stage.…

Machine Learning · Computer Science 2022-10-11 Yuecen Wei , Xingcheng Fu , Qingyun Sun , Hao Peng , Jia Wu , Jinyan Wang , Xianxian Li

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…

Machine Learning · Computer Science 2021-11-01 Jia Li , Jiajin Li , Yang Liu , Jianwei Yu , Yueting Li , Hong Cheng

Graph signal processing (GSP) studies graph-structured data, where the central concept is the vector space of graph signals. To study a vector space, we have many useful tools up our sleeves. However, uncertainty is omnipresent in practice,…

Signal Processing · Electrical Eng. & Systems 2023-02-23 Feng Ji , Xingchao Jian , Wee Peng Tay

Key to successfully deal with complex contemporary datasets is the development of tractable models that account for the irregular structure of the information at hand. This paper provides a comprehensive and unifying view of several…

Signal Processing · Electrical Eng. & Systems 2021-06-04 David Ramírez , Antonio G. Marques , Santiago Segarra

Graph neural networks (GNNs) have achieved remarkable success in node classification. Building on this progress, heterogeneous graph neural networks (HGNNs) integrate relation types and node and edge semantics to leverage heterogeneous…

Machine Learning · Computer Science 2025-10-08 Xiao Yang , Xuejiao Zhao , Zhiqi Shen

This paper addresses the challenging problem of retrieval and matching of graph structured objects, and makes two key contributions. First, we demonstrate how Graph Neural Networks (GNN), which have emerged as an effective model for various…

Machine Learning · Computer Science 2019-05-14 Yujia Li , Chenjie Gu , Thomas Dullien , Oriol Vinyals , Pushmeet Kohli

We consider the multiple hypothesis testing (MHT) problem over the joint domain formed by a graph and a measure space. On each sample point of this joint domain, we assign a hypothesis test and a corresponding $p$-value. The goal is to make…

Signal Processing · Electrical Eng. & Systems 2025-06-05 Xingchao Jian , Martin Gölz , Feng Ji , Wee Peng Tay , Abdelhak M. Zoubir

Graph neural networks (GNNs) and message passing neural networks (MPNNs) have been proven to be expressive for subgraph structures in many applications. Some applications in heterogeneous graphs require explicit edge modeling, such as…

Machine Learning · Computer Science 2021-12-17 Xin Liu , Yangqiu Song

Using graphs to model irregular information domains is an effective approach to deal with some of the intricacies of contemporary (network) data. A key aspect is how the data, represented as graph signals, depend on the topology of the…

Signal Processing · Electrical Eng. & Systems 2023-05-02 Fernando J. Iglesias Garcia , Santiago Segarra , Antonio G. Marques

Graph signal processing (GSP) is a framework to analyze and process graph-structured data. Many research works focus on developing tools such as Graph Fourier transforms (GFT), filters, and neural network models to handle graph signals.…

Signal Processing · Electrical Eng. & Systems 2023-03-13 Feng Ji , Wee Peng Tay

Heterogeneous graph neural networks (HGNNs) have demonstrated strong capability in modeling complex semantics across multi-type nodes and relations. However, their scalability to large-scale graphs remains challenging due to structural…

Machine Learning · Computer Science 2025-12-12 Fuyan Ou , Siqi Ai , Yulin Hu

Very-high-resolution (VHR) remote sensing (RS) image change detection (CD) has been a challenging task for its very rich spatial information and sample imbalance problem. In this paper, we have proposed a hierarchical change guiding map…

Computer Vision and Pattern Recognition · Computer Science 2023-03-14 Chengxi Han , Chen Wu , Bo Du

Signed graphs, which are characterized by both positive and negative edge weights, have recently attracted significant attention in the field of graph signal processing (GSP). Existing works on signed graph learning typically assume that…

Signal Processing · Electrical Eng. & Systems 2025-09-12 Rong Ye , Xue-Qin Jiang , Hui Feng , Jian Wang , Runhe Qiu

Graph convolutional networks(GCNs) have become the most popular approaches for graph data in these days because of their powerful ability to extract features from graph. GCNs approaches are divided into two categories, spectral-based and…

Machine Learning · Computer Science 2019-07-23 Yi Ma , Jianye Hao , Yaodong Yang , Han Li , Junqi Jin , Guangyong Chen

Graph-based fraud detection (GFD) can be regarded as a challenging semi-supervised node binary classification task. In recent years, Graph Neural Networks (GNN) have been widely applied to GFD, characterizing the anomalous possibility of a…

Machine Learning · Computer Science 2024-07-09 Fan Xu , Nan Wang , Hao Wu , Xuezhi Wen , Xibin Zhao , Hai Wan

The pre-training and fine-tuning methods have gained widespread attention in the field of heterogeneous graph neural networks due to their ability to leverage large amounts of unlabeled data during the pre-training phase, allowing the model…

Machine Learning · Computer Science 2025-07-11 Pengfei Jiao , Jialong Ni , Di Jin , Xuan Guo , Huan Liu , Hongjiang Chen , Yanxian Bi

Heterogeneous graph pre-training (HGP) has demonstrated remarkable performance across various domains. However, the issue of heterophily in real-world heterogeneous graphs (HGs) has been largely overlooked. To bridge this research gap, we…

Machine Learning · Computer Science 2025-01-16 Haosen Wang , Chenglong Shi , Can Xu , Surong Yan , Pan Tang

We study the problem of generating graph signals from unknown distributions defined over given graphs, relevant to domains such as recommender systems or sensor networks. Our approach builds on generative diffusion models, which are well…

Machine Learning · Computer Science 2025-10-07 Sergio Rozada , Vimal K. B. , Andrea Cavallo , Antonio G. Marques , Hadi Jamali-Rad , Elvin Isufi
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