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We present an approach to study functional segregation and integration in the living brain based on community structure decomposition determined by maximum modularity. We demonstrate this method with a network derived from functional…

Neurons and Cognition · Quantitative Biology 2007-05-23 Adam J. Schwarz , Alessandro Gozzi , Angelo Bifone

This work considers a continuous framework to characterize the population-level variability of structural connectivity. Our framework assumes the observed white matter fiber tract endpoints are driven by a latent random function defined…

Computation · Statistics 2022-07-19 William Consagra , Martin Cole , Zhengwu Zhang

Recent developments in the internet and technology have made major advancements in tools that facilitate the collection of social data, opening up thus new opportunities for analyzing social networks. Social network analysis studies the…

Social and Information Networks · Computer Science 2022-12-06 Souaad Boudebza

In network applications, it has become increasingly common to obtain datasets in the form of multiple networks observed on the same set of subjects, where each network is obtained in a related but different experiment condition or…

Statistics Theory · Mathematics 2022-05-23 Shuxiao Chen , Sifan Liu , Zongming Ma

Many recent developments in network analysis have focused on multilayer networks, which one can use to encode time-dependent interactions, multiple types of interactions, and other complications that arise in complex systems. Like their…

Social and Information Networks · Computer Science 2021-01-04 A. Roxana Pamfil , Sam D. Howison , Mason A. Porter

In a dynamic social or biological environment, the interactions between the actors can undergo large and systematic changes. In this paper we propose a model-based approach to analyze what we will refer to as the dynamic tomography of such…

Machine Learning · Statistics 2010-11-09 Eric P. Xing , Wenjie Fu , Le Song

The stochastic block model is a natural model for studying community detection in random networks. Its clustering properties have been extensively studied in the statistics, physics and computer science literature. Recently this area has…

Probability · Mathematics 2020-05-05 Gerandy Brito , Ioana Dumitriu , Shirshendu Ganguly , Christopher Hoffman , Linh V. Tran

Community detection in graphs often relies on ad hoc algorithms with no clear specification about the node partition they define as the best, which leads to uninterpretable communities. Stochastic block models (SBM) offer a framework to…

Social and Information Networks · Computer Science 2021-06-28 Louis Duvivier , Rémy Cazabet , Céline Robardet

Revealing the structure and dynamics of complex networked systems from observed data is of fundamental importance to science, engineering, and society. Is it possible to develop a universal, completely data driven framework to decipher the…

Physics and Society · Physics 2018-04-04 Yu-Zhong Chen , Ying-Cheng Lai

Network analysis has been a powerful tool to unveil relationships and interactions among a large number of objects. Yet its effectiveness in accurately identifying important node-node interactions is challenged by the rapidly growing…

Machine Learning · Statistics 2024-10-07 Tianxi Cai , Dong Xia , Luwan Zhang , Doudou Zhou

The network architecture of the human brain has become a feature of increasing interest to the neuroscientific community, largely because of its potential to illuminate human cognition, its variation over development and aging, and its…

Neurons and Cognition · Quantitative Biology 2016-11-07 Richard F. Betzel , Danielle S. Bassett

A principled approach to characterize the hidden structure of networks is to formulate generative models, and then infer their parameters from data. When the desired structure is composed of modules or "communities", a suitable choice for…

Data Analysis, Statistics and Probability · Physics 2018-08-23 Tiago P. Peixoto

Detecting community structure in social networks is a fundamental problem empowering us to identify groups of actors with similar interests. There have been extensive works focusing on finding communities in static networks, however, in…

Social and Information Networks · Computer Science 2018-02-26 Saeed Haji Seyed Javadi , Pedram Gharani , Shahram Khadivi

State-space models (SSM) with Markov switching offer a powerful framework for detecting multiple regimes in time series, analyzing mutual dependence and dynamics within regimes, and asserting transitions between regimes. These models…

Methodology · Statistics 2021-06-14 David Degras , Chee-Ming Ting , Hernando Ombao

Link prediction is a cornerstone of the Web ecosystem, powering applications from recommendation and search to knowledge graph completion and collaboration forecasting. However, large-scale networks present unique challenges: they contain…

Social and Information Networks · Computer Science 2026-01-29 Zhejian Yang , Songwei Zhao , Zilin Zhao , Hechang Chen

Correlations in the signal observed via functional Magnetic Resonance Imaging (fMRI), are expected to reveal the interactions in the underlying neural populations through hemodynamic response. In particular, they highlight distributed set…

Applications · Statistics 2012-02-07 Gaël Varoquaux , Alexandre Gramfort , Jean Baptiste Poline , Bertrand Thirion

Modern network datasets are often composed of multiple layers, either as different views, time-varying observations, or independent sample units, resulting in collections of networks over the same set of vertices but with potentially…

Statistics Theory · Mathematics 2025-06-05 Joshua Agterberg , Zachary Lubberts , Jesús Arroyo

The rise in complexity of network data in neuroscience, social networks, and protein-protein interaction networks has been accompanied by several efforts to model and understand these data at different scales. A key multiscale network…

Methodology · Statistics 2025-03-04 Al-Fahad Al-Qadhi , Keith Levin , Vincent Lyzinski

Community detection is a fundamental task in graph analysis, with methods often relying on fitting models like the Stochastic Block Model (SBM) to observed networks. While many algorithms can accurately estimate SBM parameters when the…

Machine Learning · Statistics 2025-06-05 Leonardo Martins Bianco , Christine Keribin , Zacharie Naulet

The brain's functional diversity is reflected in the meso-scale architecture of its connectome, i.e. its division into clusters and communities of topologically-related brain regions. The dominant view, and one that is reinforced by current…

Neurons and Cognition · Quantitative Biology 2018-01-26 Richard F. Betzel , John D. Medaglia , Danielle S. Bassett