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There has been an explosion of interest in statistical models for analyzing network data, and considerable interest in the class of exponential random graph (ERG) models, especially in connection with difficulties in computing maximum…

Machine Learning · Statistics 2009-01-05 Stephen E. Fienberg , Alessandro Rinaldo , Yi Zhou

Exponential family random graph models (ERGMs) can be understood in terms of a set of structural biases that act on an underlying reference distribution. This distribution determines many aspects of the behavior and interpretation of the…

Statistics Theory · Mathematics 2020-01-07 Carter T. Butts

Mapping the connectome of the human brain using structural or functional connectivity has become one of the most pervasive paradigms for neuroimaging analysis. Recently, Graph Neural Networks (GNNs) motivated from geometric deep learning…

Neurons and Cognition · Quantitative Biology 2022-11-30 Hejie Cui , Wei Dai , Yanqiao Zhu , Xuan Kan , Antonio Aodong Chen Gu , Joshua Lukemire , Liang Zhan , Lifang He , Ying Guo , Carl Yang

A central question in neuroscience is how self-organizing dynamic interactions in the brain emerge on their relatively static structural backbone. Due to the complexity of spatial and temporal dependencies between different brain areas,…

Neurons and Cognition · Quantitative Biology 2020-10-15 Simon Wein , Wilhelm Malloni , Ana Maria Tomé , Sebastian M. Frank , Gina-Isabelle Henze , Stefan Wüst , Mark W. Greenlee , Elmar W. Lang

Insomnia affects a vast population of the world and can have a wide range of causes. Existing treatments for insomnia have been linked with many side effects like headaches, dizziness, etc. As such, there is a clear need for improved…

Signal Processing · Electrical Eng. & Systems 2025-07-22 Kevin Monteiro , Sam Nallaperuma-Herzberg , Martina Mason , Steve Niederer

The exponential family random graph modeling (ERGM) framework provides a flexible approach for the statistical analysis of networks. As ERGMs typically involve normalizing factors that are costly to compute, practical inference relies on a…

Methodology · Statistics 2022-10-12 Fan Yin , Carter T. Butts

Representing networks in a low dimensional latent space is a crucial task with many interesting applications in graph learning problems, such as link prediction and node classification. A widely applied network representation learning…

Machine Learning · Computer Science 2019-11-21 Abdulkadir Çelikkanat , Fragkiskos D. Malliaros

Graph neural networks (GNNs) excel at predictive tasks on graph-structured data but often lack the ability to incorporate symbolic domain knowledge and perform general reasoning. Relational Bayesian Networks (RBNs), in contrast, enable…

Artificial Intelligence · Computer Science 2025-07-30 Raffaele Pojer , Andrea Passerini , Kim G. Larsen , Manfred Jaeger

Real-world networks often benefit from capturing both local and global interactions. Inspired by multi-modal analysis in brain imaging, where structural and functional connectivity offer complementary views of network organization, we…

Neural and Evolutionary Computing · Computer Science 2025-08-11 Yang Li , Luopeiwen Yi , Tananun Songdechakraiwut

Graph neural networks (GNN) have shown outstanding applications in many fields where data is fundamentally represented as graphs (e.g., chemistry, biology, recommendation systems). In this vein, communication networks comprise many…

Omics data, such as transcriptomics, proteomics, and metabolomics, provide critical insights into disease mechanisms and clinical outcomes. However, their high dimensionality, small sample sizes, and intricate biological networks pose major…

Machine Learning · Computer Science 2026-01-22 Tiantian Yang , Yuxuan Wang , Zhenwei Zhou , Ching-Ti Liu

This study proposed a knowledge graph entity extraction and relationship reasoning algorithm based on a graph neural network, using a graph convolutional network and graph attention network to model the complex structure in the knowledge…

Computation and Language · Computer Science 2024-11-26 Junliang Du , Guiran Liu , Jia Gao , Xiaoxuan Liao , Jiacheng Hu , Linxiao Wu

Large real-life complex networks are often modeled by various random graph constructions and hundreds of further references therein. In many cases it is not at all clear how the modeling strength of differently generated random graph model…

Data Structures and Algorithms · Computer Science 2020-09-01 András Faragó , Rupei Xu

Several brain disorders can be detected by observing alterations in the brain's structural and functional connectivities. Neurological findings suggest that early diagnosis of brain disorders, such as mild cognitive impairment (MCI), can…

Neurons and Cognition · Quantitative Biology 2021-10-22 Alpay Tekin , Ahmed Nebli , Islem Rekik

Synthetic power grids enable secure, real-world energy system simulations and are crucial for algorithm testing, resilience assessment, and policy formulation. We propose a novel method for the generation of synthetic transmission power…

Systems and Control · Electrical Eng. & Systems 2023-10-31 Francesco Giacomarra , Gianmarco Bet , Alessandro Zocca

Graph Neural Networks (GNN) can capture the geometric properties of neural representations in EEG data. Here we utilise those to study how reinforcement-based motor learning affects neural activity patterns during motor planning, leveraging…

Machine Learning · Computer Science 2024-11-01 Federico Nardi , Jinpei Han , Shlomi Haar , A. Aldo Faisal

Recently, there has been increased interest in fusing multimodal imaging to better understand brain organization. Specifically, accounting for knowledge of anatomical pathways connecting brain regions should lead to desirable outcomes such…

Applications · Statistics 2018-03-02 Ixavier A. Higgins , Suprateek Kundu , Ying Guo

Today, the human brain can be studied as a whole. Electroencephalography, magnetoencephalography, or functional magnetic resonance imaging techniques provide functional connectivity patterns between different brain areas, and during…

Data Analysis, Statistics and Probability · Physics 2011-01-21 Mario Chavez , Miguel Valencia , Vito Latora , Jacques Martinerie

Bayesian inference for exponential family random graph models (ERGMs) is a doubly-intractable problem because of the intractability of both the likelihood and posterior normalizing factor. Auxiliary variable based Markov Chain Monte Carlo…

Computation · Statistics 2020-07-15 Fan Yin , Carter T. Butts

Random graphs are more and more used for modeling real world networks such as evolutionary networks of proteins. For this purpose we look at two different models and analyze how properties like connectedness and degree distributions are…

Probability · Mathematics 2019-02-05 Klemens Taglieber , Uta Freiberg
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