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This article proposes a Bayesian approach to regression with a continuous scalar response and an undirected network predictor. Undirected network predictors are often expressed in terms of symmetric adjacency matrices, with rows and columns…

Methodology · Statistics 2018-03-29 Sharmistha Guha , Abel Rodriguez

While statistical analysis of a single network has received a lot of attention in recent years, with a focus on social networks, analysis of a sample of networks presents its own challenges which require a different set of analytic tools.…

Methodology · Statistics 2019-10-23 Jesús D. Arroyo-Relión , Daniel Kessler , Elizaveta Levina , Stephan F. Taylor

While the study of a single network is well-established, technological advances now allow for the collection of multiple networks with relative ease. Increasingly, anywhere from several to thousands of networks can be created from brain…

Applications · Statistics 2021-01-14 Nathaniel Josephs , Lizhen Lin , Steven Rosenberg , Eric D. Kolaczyk

Our interest is in multiplex network data with multiple network samples observed across the same set of nodes. Examples originate from a variety of fields, including brain connectivity, international trade networks, and social networks,…

Methodology · Statistics 2026-04-21 Yuren Zhou , Yuqi Gu , David B. Dunson

Progress in neuroscience has provided unprecedented opportunities to advance our understanding of brain alterations and their correspondence to phenotypic profiles. With data collected from various imaging techniques, studies have…

Methodology · Statistics 2024-08-01 Zhe Sun , Wanwan Xu , Tianxi Li , Jian Kang , Gregorio Alanis-Lobato , Yize Zhao

Due to its causal semantics, Bayesian networks (BN) have been widely employed to discover the underlying data relationship in exploratory studies, such as brain research. Despite its success in modeling the probability distribution of…

Computer Vision and Pattern Recognition · Computer Science 2015-06-24 Luping Zhou , Lei Wang , Lingqiao Liu , Philip Ogunbona , Dinggang Shen

The increasing availability of multiple network data has highlighted the need for statistical models for heterogeneous populations of networks. A convenient framework makes use of metrics to measure similarity between networks. In this…

Methodology · Statistics 2026-03-09 Francesco Barile , Simón Lunagómez , Bernardo Nipoti

In the quest to improve efficiency, interdependence and complexity are becoming defining characteristics of modern complex networks representing engineered and natural systems. Graph theory is a widely used framework for modeling such…

Social and Information Networks · Computer Science 2022-05-31 Sai Munikoti , Laya Das , Balasubramaniam Natarajan

There is increasing interest in learning a set of small outcome-relevant subgraphs in network-predictor regression. The extracted signal subgraphs can greatly improve the interpretation of the association between the network predictor and…

Methodology · Statistics 2019-03-27 Lu Wang , Zhengwu Zhang , David Dunson

Sparse deep neural networks have proven to be efficient for predictive model building in large-scale studies. Although several works have studied theoretical and numerical properties of sparse neural architectures, they have primarily…

Machine Learning · Statistics 2023-09-18 Sanket Jantre , Shrijita Bhattacharya , Tapabrata Maiti

1. In Bayesian Network Regression models, networks are considered the predictors of continuous responses. These models have been successfully used in brain research to identify regions in the brain that are associated with specific human…

Applications · Statistics 2024-01-23 Samuel Ozminkowski , Claudia Solis-Lemus

We consider the setting where many networks are observed on a common node set, and each observation comprises edge weights of a network, covariates observed at each node, and an overall response. The goal is to use the edge weights and node…

Methodology · Statistics 2023-08-23 Daniel Kessler , Keith Levin , Elizaveta Levina

Modeling uncertainty in deep neural networks, despite recent important advances, is still an open problem. Bayesian neural networks are a powerful solution, where the prior over network weights is a design choice, often a normal…

Machine Learning · Statistics 2019-10-29 Raanan Y. Rohekar , Yaniv Gurwicz , Shami Nisimov , Gal Novik

We propose a novel method for network inference from partially observed edges using a node-specific degree prior. The degree prior is derived from observed edges in the network to be inferred, and its hyper-parameters are determined by…

Machine Learning · Statistics 2016-02-09 Qingming Tang , Lifu Tu , Weiran Wang , Jinbo Xu

Network embedding is a highly effective method to learn low-dimensional node vector representations with original network structures being well preserved. However, existing network embedding algorithms are mostly developed for a single…

Social and Information Networks · Computer Science 2021-05-06 Xiao Shen , Quanyu Dai , Sitong Mao , Fu-lai Chung , Kup-Sze Choi

Multi-label network classification is a well-known task that is being used in a wide variety of web-based and non-web-based domains. It can be formalized as a multi-relational learning task for predicting nodes labels based on their…

Machine Learning · Computer Science 2019-02-26 Ahmed Rashed , Josif Grabocka , Lars Schmidt-Thieme

Data driven classification that relies on neural networks is based on optimization criteria that involve some form of distance between the output of the network and the desired label. Using the same mathematical analysis, for a multitude of…

Machine Learning · Computer Science 2019-06-25 Kalliopi Basioti , George V. Moustakides

Bayesian network classifiers provide a feasible solution to tabular data classification, with a number of merits like high time and memory efficiency, and great explainability. However, due to the parameter explosion and data sparsity…

Machine Learning · Computer Science 2025-08-18 Huan Zhang , Daokun Zhang , Kexin Meng , Geoffrey I. Webb

Objective: Brain networks have gained increasing recognition as potential biomarkers in mental health studies, but there are limited approaches that can leverage complex brain networks for accurate classification. Our goal is to develop a…

Methodology · Statistics 2022-05-25 Jin Ming , Suprateek Kundu

Recent studies in neuroscience highlight the significant potential of brain connectivity networks, which are commonly constructed from functional magnetic resonance imaging (fMRI) data for brain disorder diagnosis. Traditional brain…

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