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Related papers: Multiview Graph Fusion with Covariates

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Multiplex graphs, characterised by their layered structure, exhibit informative interdependencies within layers that are crucial for understanding complex network dynamics. Quantifying the interaction and shared information among these…

Statistics Theory · Mathematics 2024-05-24 Anda Skeja , Sofia C. Olhede

Contrastive learning has become a key component of self-supervised learning approaches for graph-structured data. Despite their success, existing graph contrastive learning methods are incapable of uncertainty quantification for node…

Gaussian graphical regressions have emerged as a powerful approach for regressing the precision matrix of a Gaussian graphical model on covariates, which, unlike traditional Gaussian graphical models, can help determine how graphs are…

Methodology · Statistics 2025-01-17 Xuran Meng , Jingfei Zhang , Yi Li

Gaussian graphical models typically assume a homogeneous structure across all subjects, which is often restrictive in applications. In this article, we propose a weighted pseudo-likelihood approach for graphical modeling which allows…

Methodology · Statistics 2023-03-17 Sutanoy Dasgupta , Peng Zhao , Jacob Helwig , Prasenjit Ghosh , Debdeep Pati , Bani K. Mallick

Graph neural networks (GNNs) provide powerful insights for brain neuroimaging technology from the view of graphical networks. However, most existing GNN-based models assume that the neuroimaging-produced brain connectome network is a…

Machine Learning · Computer Science 2022-09-30 Gen Shi , Yifan Zhu , Wenjin Liu , Quanming Yao , Xuesong Li

Graphical network inference is used in many fields such as genomics or ecology to infer the conditional independence structure between variables, from measurements of gene expression or species abundances for instance. In many practical…

Methodology · Statistics 2018-03-22 Geneviève Robin , Christophe Ambroise , Stéphane Robin

Graph neural networks have emerged as a powerful model for graph representation learning to undertake graph-level prediction tasks. Various graph pooling methods have been developed to coarsen an input graph into a succinct graph-level…

Machine Learning · Computer Science 2021-09-27 Xiaowei Zhou , Jie Yin , Ivor W. Tsang

Graphical models express conditional independence relationships among variables. Although methods for vector-valued data are well established, functional data graphical models remain underdeveloped. We introduce a notion of conditional…

Methodology · Statistics 2016-01-06 Hongxiao Zhu , Nate Strawn , David B. Dunson

The empirical studies of Graph Neural Networks (GNNs) broadly take the original node feature and adjacency relationship as singleview input, ignoring the rich information of multiple graph views. To circumvent this issue, the multiview…

Machine Learning · Computer Science 2022-10-13 Xiaolong Fan , Maoguo Gong , Yue Wu , Mingyang Zhang , Hao Li , Xiangming Jiang

In the realm of heterogeneous mixed autonomy, vehicles experience dynamic spatial correlations and nonlinear temporal interactions in a complex, non-Euclidean space. These complexities pose significant challenges to traditional…

Multiagent Systems · Computer Science 2024-08-19 Xin Gao , Zhaoyang Ma , Xueyuan Li , Xiaoqiang Meng , Zirui Li

We study simultaneous inference for multiple matrix-variate Gaussian graphical models in high-dimensional settings. Such models arise when spatiotemporal data are collected across multiple sample groups or experimental sessions, where each…

Methodology · Statistics 2026-01-21 Zongge Liu , Heejong Bong , Zhao Ren , Matthew A. Smith , Robert E. Kass

Link prediction aims to reveal missing edges in a graph. We address this task with a Gaussian process that is transformed using simplified graph convolutions to better leverage the inductive bias of the domain. To scale the Gaussian process…

Machine Learning · Computer Science 2020-02-12 Felix L. Opolka , Pietro Liò

Graphical model selection is a seemingly impossible task when many pairs of variables are never jointly observed; this requires inference of conditional dependencies with no observations of corresponding marginal dependencies. This…

Statistics Theory · Mathematics 2023-02-16 Giuseppe Vinci , Gautam Dasarathy , Genevera I. Allen

We propose an extension of the Contextual Graph Markov Model, a deep and probabilistic machine learning model for graphs, to model the distribution of edge features. Our approach is architectural, as we introduce an additional Bayesian…

Machine Learning · Computer Science 2023-08-21 Daniele Atzeni , Federico Errica , Davide Bacciu , Alessio Micheli

Graph convolutional neural networks (GCNN) have been successfully applied to many different graph based learning tasks including node and graph classification, matrix completion, and learning of node embeddings. Despite their impressive…

Machine Learning · Computer Science 2019-10-29 Soumyasundar Pal , Florence Regol , Mark Coates

Data defined over a network have been successfully modelled by means of graph filters. However, although in many scenarios the connectivity of the network is known, e.g., smart grids, social networks, etc., the lack of well-defined…

Signal Processing · Electrical Eng. & Systems 2020-07-08 Alberto Natali , Mario Coutino , Geert Leus

Inferring a graphical model or network from observational data from a large number of variables is a well studied problem in machine learning and computational statistics. In this paper we consider a version of this problem that is relevant…

Methodology · Statistics 2013-12-06 Andy Dahl , Victoria Hore , Valentina Iotchkova , Jonathan Marchini

We consider a binary unsupervised classification problem where each observation is associated with an unobserved label that we want to retrieve. More precisely, we assume that there are two groups of observation: normal and abnormal. The…

Machine Learning · Statistics 2011-05-05 Stevenn Volant , Marie-Laure Martin Magniette , Stéphane Robin

In many scientific settings data can be naturally partitioned into variable groupings called views. Common examples include environmental (1st view) and genetic information (2nd view) in ecological applications, chemical (1st view) and…

Applications · Statistics 2009-06-08 Mark Culp , George Michailidis , Kjell Johnson

We develop a Bayesian graphical modeling framework for functional data for correlated multivariate random variables observed over a continuous domain. Our method leads to graphical Markov models for functional data which allows the graphs…

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