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Classical graph matching aims to find a node correspondence between two unlabeled graphs of known topologies. This problem has a wide range of applications, from matching identities in social networks to identifying similar biological…

Signal Processing · Electrical Eng. & Systems 2024-10-28 Hang Liu , Anna Scaglione , Hoi-To Wai

Learning on graph structured data has drawn increasing interest in recent years. Frameworks like Graph Convolutional Networks (GCNs) have demonstrated their ability to capture structural information and obtain good performance in various…

Machine Learning · Computer Science 2020-05-19 Yufan Zhou , Jiayi Xian , Changyou Chen , Jinhui Xu

Graph Convolutional Networks (GCNs) have received increasing attention in the machine learning community for effectively leveraging both the content features of nodes and the linkage patterns across graphs in various applications. As…

Machine Learning · Computer Science 2021-01-01 Donghan Yu , Ruohong Zhang , Zhengbao Jiang , Yuexin Wu , Yiming Yang

Can we use machine learning to compress graph data? The absence of ordering in graphs poses a significant challenge to conventional compression algorithms, limiting their attainable gains as well as their ability to discover relevant…

Machine Learning · Computer Science 2023-09-26 Giorgos Bouritsas , Andreas Loukas , Nikolaos Karalias , Michael M. Bronstein

Research techniques in the last decade have improved lossless compression ratios by significantly increasing processing time. These techniques have remained obscure because production systems require high throughput and low resource…

Spectral-based graph neural networks (SGNNs) have been attracting increasing attention in graph representation learning. However, existing SGNNs are limited in implementing graph filters with rigid transforms (e.g., graph Fourier or…

Machine Learning · Computer Science 2022-01-05 Mingxing Xu , Wenrui Dai , Chenglin Li , Junni Zou , Hongkai Xiong , Pascal Frossard

Finding a suitable measurement matrix is an important topic in compressed sensing. Though the known random matrix, whose entries are drawn independently from a certain probability distribution, can be used as a measurement matrix and…

Information Theory · Computer Science 2013-07-09 Yi-Zheng Fan , Tao Huang , Ming Zhu

Graphs are useful to interpret widely used image processing methods, e.g., bilateral filtering, or to develop new ones, e.g., kernel based techniques. However, simple graph constructions are often used, where edge weight and connectivity…

Image and Video Processing · Electrical Eng. & Systems 2020-06-02 Sarath Shekkizhar , Antonio Ortega

Node representation learning has demonstrated its effectiveness for various applications on graphs. Particularly, recent developments in contrastive learning have led to promising results in unsupervised node representation learning for a…

Machine Learning · Computer Science 2021-06-11 Öykü Deniz Köse , Yanning Shen

This paper provides an overview of results, concerning longest or heaviest paths, in the area of random directed graphs on the integers along with some extensions. We study first-order asymptotics of heaviest paths allowing weights both on…

Probability · Mathematics 2018-08-09 Sergey Foss , Takis Konstantopoulos

Graphs arising in statistical problems, signal processing, large networks, combinatorial optimization, and data analysis are often dense, which causes both computational and storage bottlenecks. One way of \textit{sparsifying} a…

Numerical Analysis · Mathematics 2023-04-27 Neophytos Charalambides , Alfred O. Hero

Artificial neural networks are prone to being fooled by carefully perturbed inputs which cause an egregious misclassification. These \textit{adversarial} attacks have been the focus of extensive research. Likewise, there has been an…

Machine Learning · Computer Science 2023-10-11 Dwight Nwaigwe , Lucrezia Carboni , Martial Mermillod , Sophie Achard , Michel Dojat

Given that no existing graph construction method can generate a perfect graph for a given dataset, graph-based algorithms are often affected by redundant and erroneous edges present within the constructed graphs. In this paper, we view…

Machine Learning · Computer Science 2024-11-27 Yongyu Wang , Xiaotian Zhuang

Analysis of signals defined on complex topologies modeled by graphs is a topic of increasing interest. Signal decomposition plays a crucial role in the representation and processing of such information, in particular, to process graph…

Signal Processing · Electrical Eng. & Systems 2025-02-18 Harry H. Behjat , Carl-Fredrik Westin , Rik Ossenkoppele , Dimitri Van De Ville

The adaptive processing of structured data is a long-standing research topic in machine learning that investigates how to automatically learn a mapping from a structured input to outputs of various nature. Recently, there has been an…

Machine Learning · Computer Science 2022-02-28 Federico Errica

Previous security research efforts orbiting around graphs have been exclusively focusing on either (de-)anonymizing the graphs or understanding the security and privacy issues of graph neural networks. Little attention has been paid to…

Machine Learning · Computer Science 2022-05-02 Yun Shen , Yufei Han , Zhikun Zhang , Min Chen , Ting Yu , Michael Backes , Yang Zhang , Gianluca Stringhini

Time series data from a variety of sensors and IoT devices need effective compression to reduce storage and I/O bandwidth requirements. While most time series databases and systems rely on lossless compression, lossy techniques offer even…

Databases · Computer Science 2025-01-27 Carlos Enrique Muñiz-Cuza , Matthias Boehm , Torben Bach Pedersen

Recently there is a growing focus on graph data, and multi-view graph clustering has become a popular area of research interest. Most of the existing methods are only applicable to homophilous graphs, yet the extensive real-world graph data…

Machine Learning · Computer Science 2024-01-08 Zichen Wen , Yawen Ling , Yazhou Ren , Tianyi Wu , Jianpeng Chen , Xiaorong Pu , Zhifeng Hao , Lifang He

Graph analytics can lead to better quantitative understanding and control of complex networks, but traditional methods suffer from high computational cost and excessive memory requirements associated with the high-dimensionality and…

Machine Learning · Computer Science 2020-12-16 Mengjia Xu

Graph are a ubiquitous data representation, as they represent a flexible and compact representation. For instance, the 3D structure of RNA can be efficiently represented as $\textit{2.5D graphs}$, graphs whose nodes are nucleotides and…

Machine Learning · Computer Science 2021-09-21 Vincent Mallet , Carlos G. Oliver , William L. Hamilton