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The application of graph signal processing (GSP) on partially observed graph signals with missing nodes has gained attention recently. This is because processing data from large graphs are difficult, if not impossible due to the lack of…

信号处理 · 电气工程与系统科学 2024-05-17 Hoang-Son Nguyen , Hoi-To Wai

Temporal graph signals are multivariate time series with individual components associated with nodes of a fixed graph structure. Data of this kind arises in many domains including activity of social network users, sensor network readings…

机器学习 · 计算机科学 2021-06-28 Maxwell McNeil , Lin Zhang , Petko Bogdanov

Graphons are limit objects of sequences of graphs and are used to analyze the behavior of large graphs. Recently, graphon signal processing has been developed to study signal processing on large graphs. A major limitation of this approach…

信号处理 · 电气工程与系统科学 2024-03-26 Feng Ji , Xingchao Jian , Wee Peng Tay

Graphs are a natural representation for systems based on relations between connected entities. Combinatorial optimization problems, which arise when considering an objective function related to a process of interest on discrete structures,…

机器学习 · 计算机科学 2024-08-21 Victor-Alexandru Darvariu , Stephen Hailes , Mirco Musolesi

The adaptive processing of graph data is a long-standing research topic which has been lately consolidated as a theme of major interest in the deep learning community. The snap increase in the amount and breadth of related research has come…

机器学习 · 计算机科学 2020-06-16 Davide Bacciu , Federico Errica , Alessio Micheli , Marco Podda

The analysis of graphs has become increasingly important to a wide range of applications. Graph analysis presents a number of unique challenges in the areas of (1) software complexity, (2) data complexity, (3) security, (4) mathematical…

分布式、并行与集群计算 · 计算机科学 2023-09-19 Jeremy Kepner , David Bader , Aydın Buluc , John Gilbert , Timothy Mattson , Henning Meyerhenke

Graph alignment, the problem of identifying corresponding nodes across multiple graphs, is fundamental to numerous applications. Most existing unsupervised methods embed node features into latent representations to enable cross-graph…

机器学习 · 计算机科学 2025-09-30 Maysam Behmanesh , Erkan Turan , Maks Ovsjanikov

Modern data analysis pipelines are becoming increasingly complex due to the presence of multi-view information sources. While graphs are effective in modeling complex relationships, in many scenarios a single graph is rarely sufficient to…

A powerful framework for studying graphs is to consider them as geometric graphs: nodes are randomly sampled from an underlying metric space, and any pair of nodes is connected if their distance is less than a specified neighborhood radius.…

机器学习 · 计算机科学 2022-11-28 Raffaele Paolino , Aleksandar Bojchevski , Stephan Günnemann , Gitta Kutyniok , Ron Levie

This paper focuses on spectral filters on graphs, namely filters defined as elementwise multiplication in the frequency domain of a graph. In many graph signal processing settings, it is important to transfer a filter from one graph to…

机器学习 · 计算机科学 2019-01-31 Ron Levie , Elvin Isufi , Gitta Kutyniok

Network data can be conveniently modeled as a graph signal, where data values are assigned to nodes of a graph that describes the underlying network topology. Successful learning from network data is built upon methods that effectively…

机器学习 · 计算机科学 2021-05-26 Fernando Gama , Elvin Isufi , Geert Leus , Alejandro Ribeiro

Graph learning is a prevalent domain that endeavors to learn the intricate relationships among nodes and the topological structure of graphs. Over the years, graph learning has transcended from graph theory to graph data mining. With the…

人工智能 · 计算机科学 2024-09-24 Shaopeng Wei , Jun Wang , Yu Zhao , Xingyan Chen , Qing Li , Fuzhen Zhuang , Ji Liu , Fuji Ren , Gang Kou

We address the problem of merging graph and feature-space information while learning a metric from structured data. Existing algorithms tackle the problem in an asymmetric way, by either extracting vectorized summaries of the graph…

机器学习 · 计算机科学 2020-02-17 Nicolo Colombo

Vertex based and spectral based GSP sampling has been studied recently. The literature recognizes that methods in one domain do not have a counterpart in the other domain. This paper shows that in fact one can develop a unified graph signal…

信号处理 · 电气工程与系统科学 2022-06-29 John Shi , Jose M. F. Moura

Convolutional Neural Networks are very efficient at processing signals defined on a discrete Euclidean space (such as images). However, as they can not be used on signals defined on an arbitrary graph, other models have emerged, aiming to…

机器学习 · 计算机科学 2019-05-03 Myriam Bontonou , Carlos Lassance , Jean-Charles Vialatte , Vincent Gripon

In computational physics, machine learning has now emerged as a powerful complementary tool to explore efficiently candidate designs in engineering studies. Outputs in such supervised problems are signals defined on meshes, and a natural…

机器学习 · 统计学 2025-03-11 Raphaël Carpintero Perez , Sébastien da Veiga , Josselin Garnier , Brian Staber

Graph is a fundamental mathematical structure in characterizing relations between different objects and has been widely used on various learning tasks. Most methods implicitly assume a given graph to be accurate and complete. However, real…

机器学习 · 计算机科学 2024-03-07 Xuanting Xie , Zhao Kang , Wenyu Chen

Graph signal processing (GSP) deals with the representation, analysis, and processing of structured data, i.e. graph signals that are defined on the vertex set of a generic graph. A crucial prerequisite for applying various GSP and graph…

信号处理 · 电气工程与系统科学 2024-10-28 Lital Dabush , Tirza Routtenberg

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…

机器学习 · 计算机科学 2024-01-17 Sanaz Hasanzadeh Fard

Graph is an important data representation which appears in a wide diversity of real-world scenarios. Effective graph analytics provides users a deeper understanding of what is behind the data, and thus can benefit a lot of useful…

人工智能 · 计算机科学 2018-02-05 Hongyun Cai , Vincent W. Zheng , Kevin Chen-Chuan Chang
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