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Topological data analysis (TDA) approaches are becoming increasingly popular for studying the dependence patterns in multivariate time series data. In particular, various dependence patterns in brain networks may be linked to specific tasks…

Methodology · Statistics 2023-12-04 Anass B. El-Yaagoubi , Hernando Ombao

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

The observation, design and analysis of mesh-like networks in bionics, polymer physics and biological systems has brought forward an extensive catalog of fascinating structures of which a subgroup share a particular, yet critically under…

Tissues and Organs · Quantitative Biology 2023-08-08 Felix Kramer , Carl D Modes

Topology identification and inference of processes evolving over graphs arise in timely applications involving brain, transportation, financial, power, as well as social and information networks. This chapter provides an overview of graph…

Signal Processing · Electrical Eng. & Systems 2025-12-12 Gonzalo Mateos , Yanning Shen , Georgios B. Giannakis , Ananthram Swami

Several approaches to cognition and intelligence research rely on statistics-based models testing, namely factor analysis. In the present work we exploit the emerging dynamical systems perspective putting the focus on the role of the…

Physics and Society · Physics 2018-03-15 Gemma Rosell-Tarragó , Emanuele Cozzo , Albert Díaz-Guilera

Alzheimer's disease (AD) is the most prevalent form of dementia. Traditional methods cannot achieve efficient and accurate diagnosis of AD. In this paper, we introduce a novel method based on dynamic functional connectivity (dFC) that can…

Computer Vision and Pattern Recognition · Computer Science 2020-06-25 Xingwei An , Yutao Zhou , Yang Di , Dong Ming

Promoting the connectivity of curvilinear structures, such as neuronal processes in biomedical scans and blood vessels in CT images, remains a key challenge in semantic segmentation. Traditional pixel-wise loss functions, including…

Computer Vision and Pattern Recognition · Computer Science 2026-01-29 Elyar Esmaeilzadeh , Ehsan Garaaghaji , Farzad Hallaji Azad , Doruk Oner

We present a new, systematic approach for analyzing network topologies. We first introduce the dK-series of probability distributions specifying all degree correlations within d-sized subgraphs of a given graph G. Increasing values of d…

Networking and Internet Architecture · Computer Science 2008-04-16 Priya Mahadevan , Dmitri Krioukov , Kevin Fall , Amin Vahdat

Diffusion Tensor Imaging (DTI) is an effective tool for the analysis of structural brain connectivity in normal development and in a broad range of brain disorders. However efforts to derive inherent characteristics of structural brain…

Computational Engineering, Finance, and Science · Computer Science 2018-02-14 Yu Jin , Joseph F. JaJa , Rong Chen , Edward H. Herskovits

Functional connectivity refers to the temporal statistical relationship between spatially distinct brain regions and is usually inferred from the time series coherence/correlation in brain activity between regions of interest. In human…

Machine Learning · Statistics 2015-03-02 Shaurabh Nandy , Richard M. Golden

In this paper, we consider the problem of exploring structural regularities of networks by dividing the nodes of a network into groups such that the members of each group have similar patterns of connections to other groups. Specifically,…

Physics and Society · Physics 2015-05-30 Hua-Wei Shen , Xue-Qi Cheng , Jia-Feng Guo

Parkinsons disease (PD) is a movement disorder and the second most common neurodengerative disease but despite its relative abundance, there are no clinically accepted neuroimaging biomarkers to make prognostic predictions or differentiate…

Neurons and Cognition · Quantitative Biology 2022-06-23 Cooper J. Mellema , Kevin P. Nguyen , Alex Treacher , Aixa Andrade Hernandez , Albert A. Montillo

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

Network science has been extensively developed to characterize structural properties of complex systems, including brain networks inferred from neuroimaging data. As a result of the inference process, networks estimated from experimentally…

Neurons and Cognition · Quantitative Biology 2017-03-10 Catalina Obando , Fabrizio De Vico Fallani

Brain regions are often topographically connected: nearby locations within one brain area connect with nearby locations in another area. Mapping these connection topographies, or 'connectopies' in short, is crucial for understanding how…

Quantitative Methods · Quantitative Biology 2017-07-18 Koen V. Haak , Andre F. Marquand , Christian F. Beckmann

Graph theoretical methods have proven valuable for investigating alterations in both anatomical and functional brain connectivity networks during Alzheimer's disease (AD). Recent studies suggest that representing brain networks in a…

Neurons and Cognition · Quantitative Biology 2025-04-04 Alice Longhena , Martin Guillemaud , Fabrizio De Vico Fallani , Raffaella Lara Migliaccio , Mario Chavez

Complex networks play a fundamental role in understanding phenomena from the collective behavior of spins, neural networks, and power grids to the spread of diseases. Topological phenomena in such networks have recently been exploited to…

Dementia is a progressive neurodegenerative disorder with multiple etiologies, including Alzheimer's disease, Parkinson's disease, frontotemporal dementia, and vascular dementia. Its clinical and biological heterogeneity makes diagnosis and…

Machine Learning · Computer Science 2025-09-24 Niharika Tewari , Nguyen Linh Dan Le , Mujie Liu , Jing Ren , Ziqi Xu , Tabinda Sarwar , Veeky Baths , Feng Xia

Brain graphs (i.e, connectomes) constructed from medical scans such as magnetic resonance imaging (MRI) have become increasingly important tools to characterize the abnormal changes in the human brain. Due to the high acquisition cost and…

Machine Learning · Computer Science 2021-05-07 Alaa Bessadok , Mohamed Ali Mahjoub , Islem Rekik

The white-matter (micro-)structural architecture of the brain promotes synchrony among neuronal populations, giving rise to richly patterned functional connections. A fundamental problem for systems neuroscience is determining the best way…

Neurons and Cognition · Quantitative Biology 2022-11-15 Yueting Li , Qingyue Wei , Ehsan Adeli , Kilian M. Pohl , Qingyu Zhao
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