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Network science provides valuable insights across numerous disciplines including sociology, biology, neuroscience and engineering. A task of major practical importance in these application domains is inferring the network structure from…

Machine Learning · Computer Science 2019-05-01 Vassilis N. Ioannidis , Yanning Shen , Georgios B. Giannakis

Graph learning from data represents a canonical problem that has received substantial attention in the literature. However, insufficient work has been done in incorporating prior structural knowledge onto the learning of underlying…

Machine Learning · Statistics 2019-04-23 Sandeep Kumar , Jiaxi Ying , José Vinícius de M. Cardoso , Daniel Palomar

In recent years, Graph Neural Networks (GNNs) have been utilized for various applications ranging from drug discovery to network design and social networks. In many applications, it is impossible to observe some properties of the graph…

Machine Learning · Computer Science 2025-03-12 Moshe Eliasof , Md Shahriar Rahim Siddiqui , Carola-Bibiane Schönlieb , Eldad Haber

Graph neural networks (GNNs) are learning architectures that rely on knowledge of the graph structure to generate meaningful representations of large-scale network data. GNN stability is thus important as in real-world scenarios there are…

Machine Learning · Computer Science 2021-04-27 Luana Ruiz , Zhiyang Wang , Alejandro Ribeiro

Communication networks are important infrastructures in contemporary society. There are still many challenges that are not fully solved and new solutions are proposed continuously in this active research area. In recent years, to model the…

Networking and Internet Architecture · Computer Science 2022-01-03 Weiwei Jiang

Graph neural networks, a powerful deep learning tool to model graph-structured data, have demonstrated remarkable performance on numerous graph learning tasks. To address the data noise and data scarcity issues in deep graph learning, the…

Machine Learning · Computer Science 2022-11-22 Kaize Ding , Zhe Xu , Hanghang Tong , Huan Liu

Recent studies have revealed that GNNs are vulnerable to adversarial attacks. To defend against such attacks, robust graph structure refinement (GSR) methods aim at minimizing the effect of adversarial edges based on node features, graph…

Machine Learning · Computer Science 2024-03-05 Yeonjun In , Kanghoon Yoon , Kibum Kim , Kijung Shin , Chanyoung Park

Predicting genetic perturbations enables the identification of potentially crucial genes prior to wet-lab experiments, significantly improving overall experimental efficiency. Since genes are the foundation of cellular life, building gene…

Quantitative Methods · Quantitative Biology 2025-05-09 Changxi Chi , Jun Xia , Jingbo Zhou , Jiabei Cheng , Chang Yu , Stan Z. Li

With the increase of data in day-to-day life, businesses and different stakeholders need to analyze the data for better predictions. Traditionally, relational data has been a source of various insights, but with the increase in…

Machine Learning · Computer Science 2024-10-01 Anuj Kumar Sirohi , Subhanu Halder , Kabir Kumar , Sandeep Kumar

In this work, we study the problem of stability of Graph Convolutional Neural Networks (GCNs) under random small perturbations in the underlying graph topology, i.e. under a limited number of insertions or deletions of edges. We derive a…

Machine Learning · Computer Science 2023-12-21 Lucia Testa , Claudio Battiloro , Stefania Sardellitti , Sergio Barbarossa

We introduce a novel framework for graph signal processing (GSP) that models signals as graph distribution-valued signals (GDSs), which are probability distributions in the Wasserstein space. This approach overcomes key limitations of…

Machine Learning · Statistics 2026-03-25 Yanan Zhao , Feng Ji , Xingchao Jian , Wee Peng Tay

Graph signal processing (GSP) has become an important tool in many areas such as image processing, networking learning and analysis of social network data. In this paper, we propose a broader framework that not only encompasses traditional…

Signal Processing · Electrical Eng. & Systems 2020-01-08 Feng Ji , Wee Peng Tay

Uncovering rationales behind predictions of graph neural networks (GNNs) has received increasing attention over recent years. Instance-level GNN explanation aims to discover critical input elements, like nodes or edges, that the target GNN…

Machine Learning · Computer Science 2023-09-06 Tianxiang Zhao , Dongsheng Luo , Xiang Zhang , Suhang Wang

Complex systems are difficult to study not only because they are nonlinear, multiscale, and often nonstationary, but because their scientifically relevant organization is often invisible at the level of individual components, pairwise…

Physics and Society · Physics 2026-03-30 Mark M. Bailey

The Graph Convolutional Networks (GCN) proposed by Kipf and Welling is an effective model for semi-supervised learning, but faces the obstacle of over-smoothing, which will weaken the representation ability of GCN. Recently some works are…

Machine Learning · Computer Science 2022-05-20 Xue Liu , Dan Sun , Wei Wei

Graph classification has practical applications in diverse fields. Recent studies show that graph-based machine learning models are especially vulnerable to adversarial perturbations due to the non i.i.d nature of graph data. By adding or…

Machine Learning · Computer Science 2020-09-15 Zhidong Gao , Rui Hu , Yanmin Gong

Graph learning problems are typically approached by focusing on learning the topology of a single graph when signals from all nodes are available. However, many contemporary setups involve multiple related networks and, moreover, it is…

Signal Processing · Electrical Eng. & Systems 2022-12-06 Samuel Rey , Madeline Navarro , Andrei Buciulea , Santiago Segarra , Antonio G. Marques

We consider statistical graph signal processing (GSP) in a generalized framework where each vertex of a graph is associated with an element from a Hilbert space. This general model encompasses various signals such as the traditional…

Signal Processing · Electrical Eng. & Systems 2022-09-09 Xingchao Jian , Wee Peng Tay

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

Graph Neural Networks (GNNs) have exploded onto the machine learning scene in recent years owing to their capability to model and learn from graph-structured data. Such an ability has strong implications in a wide variety of fields whose…

Machine Learning · Computer Science 2021-07-26 Sergi Abadal , Akshay Jain , Robert Guirado , Jorge López-Alonso , Eduard Alarcón
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