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Identifying unusual brain activity is a crucial task in neuroscience research, as it aids in the early detection of brain disorders. It is common to represent brain networks as graphs, and researchers have developed various graph-based…

Machine Learning · Computer Science 2024-10-04 Sadaf Sadeghian , Xiaoxiao Li , Margo Seltzer

Biological information processing networks consist of many components, which are coupled by an even larger number of complex multivariate interactions. However, analyses of data sets from fields as diverse as neuroscience, molecular…

Quantitative Methods · Quantitative Biology 2016-03-23 Lina Merchan , Ilya Nemenman

Exponential random graph models, or ERGMs, are a flexible and general class of models for modeling dependent data. While the early literature has shown them to be powerful in capturing many network features of interest, recent work…

Methodology · Statistics 2022-01-10 Vishesh Karwa , Sonja Petrović , Denis Bajić

Quantification of complexity in neurophysiological signals has been studied using different methods, especially those from information or dynamical system theory. These studies revealed the dependence on different states of consciousness,…

Neurons and Cognition · Quantitative Biology 2017-01-26 D. M. Mateos , R. Guevara Erra , R. Wennberg , J. L. Perez Velazquez

Complex networks are universal, arising in fields as disparate as sociology, physics, and biology. In the past decade, extensive research into the properties and behaviors of complex systems has uncovered surprising commonalities among the…

Other Quantitative Biology · Quantitative Biology 2015-06-26 Claire Christensen , Reka Albert

With the emerging of new networks, such as wireless sensor networks, vehicle networks, P2P networks, cloud computing, mobile Internet, or social networks, the network dynamics and complexity expands from system design, hardware, software,…

Social and Information Networks · Computer Science 2013-05-07 Jianguo Ding , Pascal Bouvry

For constructing neuronal network models computational neuroscientists have access to wide-ranging anatomical data that nevertheless tend to cover only a fraction of the parameters to be determined. Finding and interpreting the most…

Electroencephalography (EEG) is a useful way to implicitly monitor the users perceptual state during multimedia consumption. One of the primary challenges for the practical use of EEG-based monitoring is to achieve a satisfactory level of…

Machine Learning · Computer Science 2021-12-07 Soobeom Jang , Seong-Eun Moon , Jong-Seok Lee

Noninvasive medical neuroimaging has yielded many discoveries about the brain connectivity. Several substantial techniques mapping morphological, structural and functional brain connectivities were developed to create a comprehensive road…

Machine Learning · Computer Science 2022-09-30 Alaa Bessadok , Mohamed Ali Mahjoub , Islem Rekik

Random walks are fundamental tools for analyzing complex networked systems, including social networks, biological systems, and communication infrastructures. While classical random walks focus on pairwise interactions, many real-world…

Systems and Control · Electrical Eng. & Systems 2026-03-13 Anqi Dong , Anzhi Sheng , Xin Mao , Can Chen

Complex networks are frequently employed to model physical or virtual complex systems. When certain entities exist across multiple systems simultaneously, unveiling their corresponding relationships across the networks becomes crucial. This…

Physics and Society · Physics 2025-04-16 Rui Tang , Ziyun Yong , Shuyu Jiang , Xingshu Chen , Yaofang Liu , Yi-Cheng Zhang , Gui-Quan Sun , Wei Wang

Here we present the entropic dynamics formalism for networks. That is, a framework for the dynamics of graphs meant to represent a network derived from the principle of maximum entropy and the rate of transition is obtained taking into…

Physics and Society · Physics 2021-04-29 Felipe Xavier Costa , Pedro Pessoa

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

This paper introduces a new neural network model that aims to mimic the biological brain more closely by structuring the network as a complete directed graph that processes continuous data for each timestep. Current neural networks have…

Neural and Evolutionary Computing · Computer Science 2024-01-10 Frank Li

Maximum entropy models are the least structured probability distributions that exactly reproduce a chosen set of statistics measured in an interacting network. Here we use this principle to construct probabilistic models which describe the…

Neurons and Cognition · Quantitative Biology 2014-01-28 Gašper Tkačik , Olivier Marre , Dario Amodei , Elad Schneidman , William Bialek , Michael J Berry

Exploring the complex structure of the human brain is crucial for understanding its functionality and diagnosing brain disorders. Thanks to advancements in neuroimaging technology, a novel approach has emerged that involves modeling the…

Machine Learning · Computer Science 2024-06-06 Xuexiong Luo , Jia Wu , Jian Yang , Shan Xue , Amin Beheshti , Quan Z. Sheng , David McAlpine , Paul Sowman , Alexis Giral , Philip S. Yu

The field of computational modeling of the brain is advancing so rapidly that now it is possible to model large scale networks representing different brain regions with a high level of biological detail in terms of numbers and synapses. For…

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

Complex networks theory has commonly been used for modelling and understanding the interactions taking place between the elements composing complex systems. More recently, the use of generative models has gained momentum, as they allow…

Physics and Society · Physics 2016-05-19 Massimiliano Zanin , Marco Correia , Pedro A. C. Sousa , Jorge Cruz

This article investigates emergence and complexity in complex systems that can share information on a network. To this end, we use a theoretical approach from information theory, computability theory, and complex networks. One key studied…

Information Theory · Computer Science 2019-03-20 Felipe S. Abrahão , Klaus Wehmuth , Artur Ziviani
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