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The collaborative filtering (CF) problem with only user-item interaction information can be solved by graph signal processing (GSP), which uses low-pass filters to smooth the observed interaction signals on the similarity graph to obtain…

Information Retrieval · Computer Science 2023-02-07 Jiahao Liu , Dongsheng Li , Hansu Gu , Tun Lu , Peng Zhang , Li Shang , Ning Gu

Graph signal processing analyzes signals supported on the nodes of a graph by defining the shift operator in terms of a matrix, such as the graph adjacency matrix or Laplacian matrix, related to the structure of the graph. With respect to…

Signal Processing · Electrical Eng. & Systems 2018-03-01 Stephen Kruzick , José M. F. Moura

In graph signal processing (GSP), prior information on the dependencies in the signal is collected in a graph which is then used when processing or analyzing the signal. Blind source separation (BSS) techniques have been developed and…

Methodology · Statistics 2021-09-21 Jari Miettinen , Eyal Nitzan , Sergiy A. Vorobyov , Esa Ollila

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

Current methods of graph signal processing rely heavily on the specific structure of the underlying network: the shift operator and the graph Fourier transform are both derived directly from a specific graph. In many cases, the network is…

Signal Processing · Electrical Eng. & Systems 2023-03-31 Kathryn Beck , Mahya Ghandehari , Jeannette Janssen , Nauzer Kalyaniwalla

This is the second part of the paper that provides a new strategy for the heterogeneous change detection (HCD) problem, that is, solving HCD from the perspective of graph signal processing (GSP). We construct a graph to represent the…

Computer Vision and Pattern Recognition · Computer Science 2022-08-09 Yuli Sun , Lin Lei , Dongdong Guan , Gangyao Kuang , Li Liu

Signals and datasets that arise in physical and engineering applications, as well as social, genetics, biomolecular, and many other domains, are becoming increasingly larger and more complex. In contrast to traditional time and image…

Social and Information Networks · Computer Science 2013-11-19 Aliaksei Sandryhaila , Jose M. F. Moura

One of the hot topics in machine learning is the field of GNN. The complexity of graph data has imposed significant challenges on existing machine learning algorithms. Recently, many studies on extending deep learning approaches for graph…

Machine Learning · Computer Science 2024-03-22 László Kovács , Ali Jlidi

Graphs are a powerful data structure to represent relational data and are widely used to describe complex real-world data structures. Probabilistic Graphical Models (PGMs) have been well-developed in the past years to mathematically model…

Artificial Intelligence · Computer Science 2023-01-31 Chenqing Hua , Sitao Luan , Qian Zhang , Jie Fu

Graph classification aims to categorise graphs based on their structure and node attributes. In this work, we propose to tackle this task using tools from graph signal processing by deriving spectral features, which we then use to design…

Machine Learning · Computer Science 2023-06-07 Felix L. Opolka , Yin-Cong Zhi , Pietro Liò , Xiaowen Dong

Graph processing has become an important part of various areas of computing, including machine learning, medical applications, social network analysis, computational sciences, and others. A growing amount of the associated graph processing…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-08-01 Maciej Besta , Marc Fischer , Vasiliki Kalavri , Michael Kapralov , Torsten Hoefler

Graph signal processing is an emerging field which aims to model processes that exist on the nodes of a network and are explained through diffusion over this structure. Graph signal processing works have heretofore assumed knowledge of the…

Signal Processing · Electrical Eng. & Systems 2021-04-21 Matthew W. Morency , Geert Leus

Graph neural networks (GNNs) have evolved into one of the most popular deep learning architectures. However, GNNs suffer from over-smoothing node information and, therefore, struggle to solve tasks where global graph properties are…

Machine Learning · Computer Science 2023-08-31 Bernhard Schäfl , Lukas Gruber , Johannes Brandstetter , Sepp Hochreiter

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

Distributed processing of large-scale graph data has many practical applications and has been widely studied. In recent years, a lot of distributed graph processing frameworks and algorithms have been proposed. While many efforts have been…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-29 Lingkai Meng , Yu Shao , Long Yuan , Longbin Lai , Peng Cheng , Xue Li , Wenyuan Yu , Wenjie Zhang , Xuemin Lin , Jingren Zhou

In graph neural networks (GNNs), both node features and labels are examples of graph signals, a key notion in graph signal processing (GSP). While it is common in GSP to impose signal smoothness constraints in learning and estimation tasks,…

Signal Processing · Electrical Eng. & Systems 2023-04-10 Feng Ji , See Hian Lee , Kai Zhao , Wee Peng Tay , Jielong Yang

Dynamic graph learning has gained significant attention as it offers a powerful means to model intricate interactions among entities across various real-world and scientific domains. Notably, graphs serve as effective representations for…

Machine Learning · Computer Science 2024-01-17 Sanaz Hasanzadeh Fard

Graph signal processing is a framework to handle graph structured data. The fundamental concept is graph shift operator, giving rise to the graph Fourier transform. While the graph Fourier transform is a centralized procedure, distributed…

Signal Processing · Electrical Eng. & Systems 2022-06-10 Feng Ji , Yiqi Lu , Wee Peng Tay , Edwin Chong

This document introduces the Graph Signal Processing Toolbox (GSPBox) a framework that can be used to tackle graph related problems with a signal processing approach. It explains the structure and the organization of this software. It also…

Graph Signal Processing (GSP) is an emerging research field that extends the concepts of digital signal processing to graphs. GSP has numerous applications in different areas such as sensor networks, machine learning, and image processing.…

Signal Processing · Electrical Eng. & Systems 2022-07-15 Jhony H. Giraldo , Arif Mahmood , Belmar Garcia-Garcia , Dorina Thanou , Thierry Bouwmans
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