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A connectional brain template (CBT) is a normalized graph-based representation of a population of brain networks also regarded as an average connectome. CBTs are powerful tools for creating representative maps of brain connectivity in…

Computer Vision and Pattern Recognition · Computer Science 2020-12-29 Mustafa Burak Gurbuz , Islem Rekik

fMRI is a non-invasive technique for investigating brain activity, offering high-resolution insights into neural processes. Understanding and decoding cognitive brain states from fMRI depends on how functional interactions are represented.…

Neurons and Cognition · Quantitative Biology 2026-02-23 Daniil Vlasenko , Vadim Ushakov , Alexey Zaikin , Denis Zakharov

Seeking effective neural networks is a critical and practical field in deep learning. Besides designing the depth, type of convolution, normalization, and nonlinearities, the topological connectivity of neural networks is also important.…

Computer Vision and Pattern Recognition · Computer Science 2020-08-20 Kun Yuan , Quanquan Li , Jing Shao , Junjie Yan

To effectively classify graph instances, graph neural networks need to have the capability to capture the part-whole relationship existing in a graph. A capsule is a group of neurons representing complicated properties of entities, which…

Machine Learning · Computer Science 2022-04-26 Yu Lei , Jing Zhang

The exponential random graph model (ERGM) is a central object in the study of clustering properties in social networks as well as canonical ensembles in statistical physics. Despite some breakthrough works in the mathematical understanding…

Probability · Mathematics 2021-08-06 Shirshendu Ganguly , Kyeongsik Nam

Divergent brain connectivity is thought to underlie the behavioral and cognitive symptoms observed in many neurodevelopmental disorders. Quantifying divergence from neurotypical connectivity patterns offers a promising pathway to inform…

Neurons and Cognition · Quantitative Biology 2024-11-19 Rui Sherry Shen , Yusuf Osmanlıoğlu , Drew Parker , Darien Aunapu , Benjamin E. Yerys , Birkan Tunç , Ragini Verma

Networks are ubiquitous in economic research on organizations, trade, and many other areas. However, while economic theory extensively considers networks, no general framework for their empirical modeling has yet emerged. We thus introduce…

Methodology · Statistics 2023-07-10 Giacomo De Nicola , Cornelius Fritz , Marius Mehrl , Göran Kauermann

In previous studies, decoding electroencephalography (EEG) signals has not considered the topological relationship of EEG electrodes. However, the latest neuroscience has suggested brain network connectivity. Thus, the exhibited interaction…

Signal Processing · Electrical Eng. & Systems 2020-07-28 Shuyue Jia , Yimin Hou , Yan Shi , Yang Li

Network representation learning has traditionally been used to find lower dimensional vector representations of the nodes in a network. However, there are very important edge driven mining tasks of interest to the classical network analysis…

Social and Information Networks · Computer Science 2019-12-12 Sambaran Bandyopadhyay , Anirban Biswas , M. N. Murty , Ramasuri Narayanam

Electronic Health Records (EHR) are high-dimensional data with implicit connections among thousands of medical concepts. These connections, for instance, the co-occurrence of diseases and lab-disease correlations can be informative when…

Machine Learning · Computer Science 2021-03-29 Weicheng Zhu , Narges Razavian

Brain network provides important insights for the diagnosis of many brain disorders, and how to effectively model the brain structure has become one of the core issues in the domain of brain imaging analysis. Recently, various computational…

Neurons and Cognition · Quantitative Biology 2022-12-02 Zhengwang Xia , Tao Zhou , Saqib Mamoon , Amani Alfakih , Jianfeng Lu

Conventionally, pairwise relationships between nodes are considered to be the fundamental building blocks of complex networks. However, over the last decade the overabundance of certain sub-network patterns, so called motifs, has attracted…

Physics and Society · Physics 2015-01-28 Marco Winkler , Joerg Reichardt

Random graph (RG) models play a central role in the complex networks analysis. They help to understand, control, and predict phenomena occurring, for instance, in social networks, biological networks, the Internet, etc. Despite a large…

Social and Information Networks · Computer Science 2024-03-22 Mikhail Drobyshevskiy , Denis Turdakov

Random networks are increasingly used to analyse complex transportation networks, such as airline routes, roads and rail networks. So far, this research has been focused on describing the properties of the networks with the help of random…

Physics and Society · Physics 2017-09-19 Jürgen Hackl , Bryan T. Adey

Several works based on Generative Adversarial Networks (GAN) have been recently proposed to predict a set of medical images from a single modality (e.g, FLAIR MRI from T1 MRI). However, such frameworks are primarily designed to operate on…

Machine Learning · Computer Science 2020-09-24 Alaa Bessadok , Mohamed Ali Mahjoub , Islem Rekik

Understanding how social networks form, whether through reciprocity, shared attributes, or triadic closure, is central to computational social science. Exponential Random Graph Models (ERGMs) offer a principled framework for testing such…

Computation · Statistics 2026-03-05 Yidan Sun , Mayank Kejriwal

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

Understanding the deep representations of complex networks is an important step of building interpretable and trustworthy machine learning applications in the age of internet. Global surrogate models that approximate the predictions of a…

Machine Learning · Computer Science 2022-03-15 Baihan Lin

This study addresses the challenge of forming effective groups in collaborative problem-solving environments. Recognizing the complexity of human interactions and the necessity for efficient collaboration, we propose a novel approach…

Computers and Society · Computer Science 2024-03-18 Zheng Fang , Fucai Ke , Jae Young Han , Zhijie Feng , Toby Cai

In this paper, we give an analytic solution for graphs with n nodes and E edges for which the probability of obtaining a given graph G is specified in terms of the degree sequence of G. We describe how this model naturally appears in the…

Probability · Mathematics 2008-10-20 M. Draief , A. Ganesh , L. Massoulie
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