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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

The goal of this paper is to establish the fundamental tools to analyze signals defined over a topological space, i.e. a set of points along with a set of neighborhood relations. This setup does not require the definition of a metric and…

Signal Processing · Electrical Eng. & Systems 2020-10-28 Sergio Barbarossa , Stefania Sardellitti

Last decade has seen the emergence of numerous methods for learning on graphs, particularly Graph Neural Networks (GNNs). These methods, however, are often not directly applicable to more complex structures like bipartite graphs (equivalent…

Machine Learning · Computer Science 2024-09-27 Pavel Procházka , Marek Dědič , Lukáš Bajer

Graph neural networks (GNNs) enable the analysis of graphs using deep learning, with promising results in capturing structured information in graphs. This paper focuses on creating a small graph to represent the original graph, so that GNNs…

Machine Learning · Computer Science 2022-06-29 Mengyang Liu , Shanchuan Li , Xinshi Chen , Le Song

Vertex splitting is a graph modification operation in which a vertex is replaced by multiple vertices such that the union of their neighborhoods equals the neighborhood of the original vertex. We introduce and study vertex splitting as a…

Computational Complexity · Computer Science 2026-02-05 Faisal N. Abu-Khzam , Dipayan Chakraborty , Lucas Isenmann , Nacim Oijid

Fraudulent activities have significantly increased across various domains, such as e-commerce, online review platforms, and social networks, making fraud detection a critical task. Spatial Graph Neural Networks (GNNs) have been successfully…

Machine Learning · Computer Science 2025-04-29 Wenxin Zhang , Jingxing Zhong , Guangzhen Yao , Renda Han , Xiaojian Lin , Zeyu Zhang , Cuicui Luo

The sharing of external data has become a strong demand of financial institutions, but the privacy issue has led to the difficulty of interconnecting different platforms and the low degree of data openness. To effectively solve the privacy…

Machine Learning · Computer Science 2025-05-02 Zhizhong Tan , Jiexin Zheng , Kevin Qi Zhang , Wenyong Wang

In the area of graph signal processing, a graph is a set of nodes arbitrarily connected by weighted links; a graph signal is a set of scalar values associated with each node; and sampling is the problem of selecting an optimal subset of…

Signal Processing · Electrical Eng. & Systems 2019-05-27 Alejandro Parada-Mayorga , Daniel L. Lau , Jhony H. Giraldo , Gonzalo R. Arce

Change detection in heterogeneous remote sensing images is crucial for disaster damage assessment. Recent methods use homogenous transformation, which transforms the heterogeneous optical and SAR remote sensing images into the same feature…

Computer Vision and Pattern Recognition · Computer Science 2020-04-09 Xiao Jiang , Gang Li , Yu Liu , Xiao-Ping Zhang , You He

Sampling methods for graph signals in the graph spectral domain are presented. Though conventional sampling of graph signals can be regarded as sampling in the graph vertex domain, it does not have the desired characteristics in regard to…

Information Theory · Computer Science 2018-06-13 Yuichi Tanaka

Graph neural networks (GNNs) are proven effective in extracting complex node and structural information from graph data. While current GNNs perform well in node classification tasks within in-distribution (ID) settings, real-world scenarios…

Machine Learning · Computer Science 2025-05-08 Tao Yin , Chen Zhao , Xiaoyan Liu , Minglai Shao

We study the complexity of graph modification problems with respect to homomorphism-based colouring properties of edge-coloured graphs. A homomorphism from edge-coloured graph $G$ to edge-coloured graph $H$ is a vertex-mapping from $G$ to…

Data Structures and Algorithms · Computer Science 2022-05-04 Florent Foucaud , Hervé Hocquard , Dimitri Lajou , Valia Mitsou , Théo Pierron

Graph signal processing represents an important advancement in the field of data analysis, extending conventional signal processing methodologies to complex networks and thereby facilitating the exploration of informative patterns and…

Signal Processing · Electrical Eng. & Systems 2024-06-07 Keivan Faghih Niresi , Lucas Kuhn , Gaëtan Frusque , Olga Fink

Training on large-scale graphs has achieved remarkable results in graph representation learning, but its cost and storage have attracted increasing concerns. Existing graph condensation methods primarily focus on optimizing the feature…

Machine Learning · Computer Science 2023-10-16 Beining Yang , Kai Wang , Qingyun Sun , Cheng Ji , Xingcheng Fu , Hao Tang , Yang You , Jianxin Li

Heterogeneous graph neural networks have become popular in various domains. However, their generalizability and interpretability are limited due to the discrepancy between their inherent inference flows and human reasoning logic or…

Machine Learning · Computer Science 2023-12-12 Tianqianjin Lin , Kaisong Song , Zhuoren Jiang , Yangyang Kang , Weikang Yuan , Xurui Li , Changlong Sun , Cui Huang , Xiaozhong Liu

This paper addresses the problem of segmenting a stream of graph signals: we aim to detect changes in the mean of a multivariate signal defined over the nodes of a known graph. We propose an offline method that relies on the concept of…

Machine Learning · Computer Science 2024-03-01 Alejandro de la Concha , Nicolas Vayatis , Argyris Kalogeratos

This paper investigates the problem of graph signal recovery (GSR) when the topology of the graph is not known in advance. In this paper, the elements of the weighted adjacency matrix is statistically related to normal distribution and the…

Signal Processing · Electrical Eng. & Systems 2020-10-19 Razieh Torkamani , Hadi Zayyani

Modeling spatial heterogeneity in the data generation process is essential for understanding and predicting geographical phenomena. Despite their prevalence in geospatial tasks, neural network models usually assume spatial stationarity,…

Machine Learning · Computer Science 2025-10-01 Hao Guo , Han Wang , Di Zhu , Lun Wu , A. Stewart Fotheringham , Yu Liu

Heterogeneous graphs provide a compact, efficient, and scalable way to model data involving multiple disparate modalities. This makes modeling audiovisual data using heterogeneous graphs an attractive option. However, graph structure does…

Sound · Computer Science 2023-03-14 Amir Shirian , Mona Ahmadian , Krishna Somandepalli , Tanaya Guha

Heterogeneous graph neural networks (HGNNs) have attracted increasing research interest in recent three years. Most existing HGNNs fall into two classes. One class is meta-path-based HGNNs which either require domain knowledge to handcraft…

Machine Learning · Computer Science 2022-09-02 Nan Wu , Chaofan Wang