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We propose a robust, scalable, integrated methodology for community detection and community comparison in graphs. In our procedure, we first embed a graph into an appropriate Euclidean space to obtain a low-dimensional representation, and…

Machine Learning · Statistics 2016-08-29 Vince Lyzinski , Minh Tang , Avanti Athreya , Youngser Park , Carey E. Priebe

The continuing neuroscience advances, catalysed by multidisciplinary collaborations between the biological, computational, physical and chemical areas, have implied in increasingly more complex approaches to understand and model the mammals…

Biological Physics · Physics 2010-03-17 Krissia Zawadzki , Mauro Miazaki , Luciano da F. Costa

Numerous networked systems feature a structure of nontrivial communities, which often correspond to their functional modules. Such communities have been detected in real-world biological, social and technological systems, as well as in…

Physics and Society · Physics 2025-07-08 Charo I. del Genio

Many real-world networks, including nervous systems, exhibit meso-scale structure. This means that their elements can be grouped into meaningful sub-networks. In general, these sub-networks are unknown ahead of time and must be "discovered"…

Neurons and Cognition · Quantitative Biology 2020-11-16 Richard F. Betzel

The human brain has been studied at multiple scales, from neurons, circuits, areas with well defined anatomical and functional boundaries, to large-scale functional networks which mediate coherent cognition. In a recent work, we addressed…

Biological Physics · Physics 2012-05-17 Lazaros K. Gallos , Mariano Sigman , Hernan A. Makse

Inspired by the human ability to learn and organize knowledge into hierarchical taxonomies with prototypes, this paper addresses key limitations in current deep hierarchical clustering methods. Existing methods often tie the structure to…

Computer Vision and Pattern Recognition · Computer Science 2025-10-01 Zekun Wang , Ethan Haarer , Tianyi Zhu , Zhiyi Dai , Christopher J. MacLellan

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

Identifying meaningful structure across multiple scales remains a central challenge in network science. We introduce Hierarchical Clustering Entropy (HCE), a general and model-agnostic framework for detecting informative levels in…

Social and Information Networks · Computer Science 2025-08-07 Jorge Martinez Armas

The structure of many complex networks includes edge directionality and weights on top of their topology. Network analysis that can seamlessly consider combination of these properties are desirable. In this paper, we study two important…

Social and Information Networks · Computer Science 2021-11-24 Frederique Oggier , Silivanxay Phetsouvanh , Anwitaman Datta

We present an approach to model-based hierarchical clustering by formulating an objective function based on a Bayesian analysis. This model organizes the data into a cluster hierarchy while specifying a complex feature-set partitioning that…

Machine Learning · Computer Science 2013-01-18 Shivakumar Vaithyanathan , Byron E Dom

Discovering and characterizing the large-scale topological features in empirical networks are crucial steps in understanding how complex systems function. However, most existing methods used to obtain the modular structure of networks…

Data Analysis, Statistics and Probability · Physics 2014-03-26 Tiago P. Peixoto

Complex networks of real-world systems are believed to be controlled by common phenomena, producing structures far from regular or random. Clustering, community structure and assortative mixing by degree are perhaps among most prominent…

Physics and Society · Physics 2012-02-16 Lovro Šubelj , Marko Bajec

We present a hierarchical neuro-symbolic control framework that tightly couples a classical symbolic planner with a transformer-based policy to address long-horizon decision-making under uncertainty. At the high level, the planner assembles…

Artificial Intelligence · Computer Science 2025-05-30 Ali Baheri , Cecilia O. Alm

Functional brain network analysis has become an indispensable tool for brain disease analysis. It is profoundly impacted by deep learning methods, which can characterize complex connections between ROIs. However, the research on foundation…

Image and Video Processing · Electrical Eng. & Systems 2025-08-08 Yifei Tang , Hongjie Jiang , Changhong Jing , Hieu Pham , Shuqiang Wang

Brain network analysis is a useful approach to studying human brain disorders because it can distinguish patients from healthy people by detecting abnormal connections. Due to the complementary information from multiple modal neuroimages,…

Image and Video Processing · Electrical Eng. & Systems 2023-08-22 Qiankun Zuo , Yanfei Zhu , Libin Lu , Zhi Yang , Yuhui Li , Ning Zhang

This article describes an approach to designing a distributed and modular neural classifier. This approach introduces a new hierarchical clustering that enables one to determine reliable regions in the representation space by exploiting…

Machine Learning · Computer Science 2008-12-18 Abdel Ennaji , Arnaud Ribert , Yves Lecourtier

We introduce a graph-theoretic approach to extract clusters and hierarchies in complex data-sets in an unsupervised and deterministic manner, without the use of any prior information. This is achieved by building topologically embedded…

Data Analysis, Statistics and Probability · Physics 2014-02-13 Won-Min Song , T. Di Matteo , Tomaso Aste

Recent advances in neuroscience and in the technology of functional magnetic resonance imaging (fMRI) and electro-encephalography (EEG) have propelled a growing interest in brain-network clustering via time-series analysis. Notwithstanding,…

Machine Learning · Computer Science 2019-06-07 Cong Ye , Konstantinos Slavakis , Pratik V. Patil , Sarah F. Muldoon , John Medaglia

Detection of community structures in social networks has attracted lots of attention in the domain of sociology and behavioral sciences. Social networks also exhibit dynamic nature as these networks change continuously with the passage of…

Social and Information Networks · Computer Science 2014-09-18 Frédéric Gilbert , Paolo Simonetto , Faraz Zaidi , Fabien Jourdan , Romain Bourqui

Brain functional network has become an increasingly used approach in understanding brain functions and diseases. Many network construction methods have been developed, whereas the majority of the studies still used static pairwise Pearson's…

Neurons and Cognition · Quantitative Biology 2020-03-13 Zhen Zhou , Xiaobo Chen , Yu Zhang , Lishan Qiao , Renping Yu , Gang Pan , Han Zhang , Dinggang Shen
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