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We consider network topology identification subject to a signal smoothness prior on the nodal observations. A fast dual-based proximal gradient algorithm is developed to efficiently tackle a strongly convex, smoothness-regularized network…

Machine Learning · Computer Science 2021-10-20 Seyed Saman Saboksayr , Gonzalo Mateos

The crux of graph classification lies in the effective representation learning for the entire graph. Typical graph neural networks focus on modeling the local dependencies when aggregating features of neighboring nodes, and obtain the…

Machine Learning · Computer Science 2024-01-02 Wenjie Pei , Weina Xu , Zongze Wu , Weichao Li , Jinfan Wang , Guangming Lu , Xiangrong Wang

Graph-based neural network models are producing strong results in a number of domains, in part because graphs provide flexibility to encode domain knowledge in the form of relational structure (edges) between nodes in the graph. In…

Machine Learning · Computer Science 2020-11-09 Daniel D. Johnson , Hugo Larochelle , Daniel Tarlow

We consider the problem of jointly learning row-wise and column-wise dependencies of matrix-variate observations, which are modelled separately by two precision matrices. Due to the complicated structure of Kronecker-product precision…

Machine Learning · Computer Science 2024-03-06 Meixia Lin , Yangjing Zhang

Graph neural networks (GNNs) have excelled in various graph learning tasks, particularly node classification. However, their performance is often hampered by noisy measurements in real-world graphs, which can corrupt critical patterns in…

Machine Learning · Computer Science 2025-03-14 Shuyi Chen , Kaize Ding , Shixiang Zhu

Recent advances in variational inference enable the modelling of highly structured joint distributions, but are limited in their capacity to scale to the high-dimensional setting of stochastic neural networks. This limitation motivates a…

How to obtain a graph from data samples is an important problem in graph signal processing. One way to formulate this graph learning problem is based on Gaussian maximum likelihood estimation, possibly under particular topology constraints.…

Signal Processing · Electrical Eng. & Systems 2017-11-02 Keng-Shih Lu , Antonio Ortega

Graph Neural Networks usually rely on the assumption that the graph topology is available to the network as well as optimal for the downstream task. Latent graph inference allows models to dynamically learn the intrinsic graph structure of…

Machine Learning · Computer Science 2023-06-28 Haitz Sáez de Ocáriz Borde , Anees Kazi , Federico Barbero , Pietro Liò

Graph neural networks use relational information as an inductive bias to enhance prediction performance. Not rarely, task-relevant relations are unknown and graph structure learning approaches have been proposed to learn them from data.…

Machine Learning · Computer Science 2025-05-29 Alessandro Manenti , Daniele Zambon , Cesare Alippi

As a powerful tool for modeling graph data, Graph Neural Networks (GNNs) have received increasing attention in both academia and industry. Nevertheless, it is notoriously difficult to deploy GNNs on industrial scale graphs, due to their…

Machine Learning · Computer Science 2024-01-09 Zhongshu Zhu , Bin Jing , Xiaopei Wan , Zhizhen Liu , Lei Liang , Jun zhou

Graph neural networks (GNNs) are shown to be successful in modeling applications with graph structures. However, training an accurate GNN model requires a large collection of labeled data and expressive features, which might be inaccessible…

Machine Learning · Computer Science 2019-06-03 Ziniu Hu , Changjun Fan , Ting Chen , Kai-Wei Chang , Yizhou Sun

Graph learning has become essential in various domains, including recommendation systems and social network analysis. Graph Neural Networks (GNNs) have emerged as promising techniques for encoding structural information and improving…

Machine Learning · Computer Science 2024-10-10 Lianghao Xia , Ben Kao , Chao Huang

Recent advances in Graph Convolutional Neural Networks (GCNNs) have shown their efficiency for non-Euclidean data on graphs, which often require a large amount of labeled data with high cost. It it thus critical to learn graph feature…

Computer Vision and Pattern Recognition · Computer Science 2020-03-20 Xiang Gao , Wei Hu , Guo-Jun Qi

Graph neural networks (GNNs) model nonlinear representations in graph data with applications in distributed agent coordination, control, and planning among others. Current GNN architectures assume ideal scenarios and ignore link…

Signal Processing · Electrical Eng. & Systems 2021-09-01 Zhan Gao , Elvin Isufi , Alejandro Ribeiro

Graphs are widely used to represent complex information and signal domains with irregular support. Typically, the underlying graph topology is unknown and must be estimated from the available data. Common approaches assume pairwise node…

Signal Processing · Electrical Eng. & Systems 2023-12-19 Andrei Buciulea , Elvin Isufi , Geert Leus , Antonio G. Marques

Many modern data analytics applications on graphs operate on domains where graph topology is not known a priori, and hence its determination becomes part of the problem definition, rather than serving as prior knowledge which aids the…

Information Theory · Computer Science 2020-01-03 Ljubisa Stankovic , Danilo Mandic , Milos Dakovic , Milos Brajovic , Bruno Scalzo , Shengxi Li , Anthony G. Constantinides

Graph Neural Networks (GNNs) are widely used deep learning models that learn meaningful representations from graph-structured data. Due to the finite nature of the underlying recurrent structure, current GNN methods may struggle to capture…

Machine Learning · Computer Science 2021-06-02 Fangda Gu , Heng Chang , Wenwu Zhu , Somayeh Sojoudi , Laurent El Ghaoui

Learning the dependence structure among variables in complex systems is a central problem across medical, natural, and social sciences. These structures can be naturally represented by graphs, and the task of inferring such graphs from data…

Methodology · Statistics 2026-04-02 Lucas Kook , Søren Wengel Mogensen

A graph convolutional network (GCN) employs a graph filtering kernel tailored for data with irregular structures. However, simply stacking more GCN layers does not improve performance; instead, the output converges to an uninformative…

Machine Learning · Computer Science 2022-11-04 Jin Zeng , Yang Liu , Gene Cheung , Wei Hu

Graph signal processing (GSP) is an important methodology for studying data residing on irregular structures. As acquired data is increasingly taking the form of multi-way tensors, new signal processing tools are needed to maximally utilize…

Signal Processing · Electrical Eng. & Systems 2020-12-02 Jay S. Stanley , Eric C. Chi , Gal Mishne
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