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We exploit altered patterns in brain functional connectivity as features for automatic discriminative analysis of neuropsychiatric patients. Deep learning methods have been introduced to functional network classification only very recently…

Machine Learning · Computer Science 2020-04-27 Chun-Ren Phang , Chee-Ming Ting , Fuad Noman , Hernando Ombao

Neural manifolds summarize the intrinsic structure of the information encoded by a population of neurons. Advances in experimental techniques have made simultaneous recordings from multiple brain regions increasingly commonplace, raising…

Neurons and Cognition · Quantitative Biology 2025-03-27 Iris H. R. Yoon , Gregory Henselman-Petrusek , Yiyi Yu , Robert Ghrist , Spencer LaVere Smith , Chad Giusti

In increasingly many settings, data sets consist of multiple samples from a population of networks, with vertices aligned across these networks. For example, brain connectivity networks in neuroscience consist of measures of interaction…

Statistics Theory · Mathematics 2021-05-11 Keith Levin , Asad Lodhia , Elizaveta Levina

In a number of disciplines, the data (e.g., graphs, manifolds) to be analyzed are non-Euclidean in nature. Geometric deep learning corresponds to techniques that generalize deep neural network models to such non-Euclidean spaces. Several…

Recent advances in molecular and genetic research have identified a diverse range of brain tumor sub-types, shedding light on differences in their molecular mechanisms, heterogeneity, and origins. The present study performs whole-brain…

Neurons and Cognition · Quantitative Biology 2024-07-26 Debanjali Bhattacharya , Ninad Aithal , Manish Jayswal , Neelam Sinha

Emerging evidence shows that cognitive deficits in Alzheimer disease (AD) are associated with disruptions in brain functional connectivity. Thus, the identification of alterations in AD functional networks has become a topic of increasing…

Neurons and Cognition · Quantitative Biology 2018-02-27 A. Kabbara , H. Eid , EL W. Falou , M. Khalil , F. Wendling , M. Hassan

Brain network analysis based on functional Magnetic Resonance Imaging (fMRI) is pivotal for diagnosing brain disorders. Existing approaches typically rely on predefined functional sub-networks to construct sub-network associations. However,…

Machine Learning · Computer Science 2026-03-11 Jingfeng Tang , Peng Cao , Guangqi Wen , Jinzhu Yang , Xiaoli Liu , Osmar R. Zaiane

Neuroimaging provides essential tools for characterizing brain activity by quantifying connectivity strength between remote regions, using different modalities that capture different aspects of connectivity. Yet, decoding meaningful neural…

Machine Learning · Computer Science 2026-01-08 Ce Ju , Reinmar Kobler , Antoine Collas , Motoaki Kawanabe , Cuntai Guan , Bertrand Thirion

We introduce a mixed-effects model to learn spatiotempo-ral patterns on a network by considering longitudinal measures distributed on a fixed graph. The data come from repeated observations of subjects at different time points which take…

Dynamic brain data, teeming with biological and functional insights, are becoming increasingly accessible through advanced measurements, providing a gateway to understanding the inner workings of the brain in living subjects. However, the…

Neurons and Cognition · Quantitative Biology 2025-08-19 Zixia Zhou , Junyan Liu , Wei Emma Wu , Ruogu Fang , Sheng Liu , Qingyue Wei , Rui Yan , Yi Guo , Qian Tao , Yuanyuan Wang , Md Tauhidul Islam , Lei Xing

Statistical analysis on non-Euclidean spaces typically relies on distances as the primary tool for constructing likelihoods. However, manifold-valued data admits richer structures in addition to Riemannian distances. We demonstrate that…

Statistics Theory · Mathematics 2026-03-25 Nicolas Escobar-Velasquez , Jaroslaw Harezlak

Analysis and quantification of brain structural changes, using Magnetic resonance imaging (MRI), are increasingly used to define novel biomarkers of brain pathologies, such as Alzheimer's disease (AD). Network-based models of the brain have…

Recently, there has been increased interest in fusing multimodal imaging to better understand brain organization. Specifically, accounting for knowledge of anatomical pathways connecting brain regions should lead to desirable outcomes such…

Applications · Statistics 2018-03-02 Ixavier A. Higgins , Suprateek Kundu , Ying Guo

Brain network topology, derived from functional magnetic resonance imaging (fMRI), holds promise for improving Alzheimer's disease (AD) diagnosis. Current methods primarily focus on lower-order topological features, often overlooking the…

Geometric Topology · Mathematics 2025-09-19 Dengyi Zhao , Shanyong Li , Yunping Wang , Chenfei Wang , Zhiheng Zhou , Guiying Yan , Xingqin Qi

Electroencephalography (EEG) monitors ---by either intrusive or noninvasive electrodes--- time and frequency variations and spectral content of voltage fluctuations or waves, known as brain rhythms, which in some way uncover activity during…

Neurons and Cognition · Quantitative Biology 2019-03-13 Javier A. Galadí , Joaquín J. Torres , J. Marro

As the prevalence of Alzheimer's disease (AD) rises, improving mechanistic insight from non-invasive biomarkers is increasingly critical. Recent work suggests that circuit-level brain alterations manifest as changes in…

Neural and Evolutionary Computing · Computer Science 2026-02-10 Szymon Mamoń , Max Talanov , Alessandro Crimi

Large-scale white matter pathways crisscrossing the cortex create a complex pattern of connectivity that underlies human cognitive function. Generative mechanisms for this architecture have been difficult to identify in part because little…

Neurons and Cognition · Quantitative Biology 2015-06-16 Florian Klimm , Danielle S. Bassett , Jean M. Carlson , Peter J. Mucha

We explore how to study dynamical interactions between brain regions using functional multilayer networks whose layers represent the different frequency bands at which a brain operates. Specifically, we investigate the consequences of…

Neurons and Cognition · Quantitative Biology 2017-09-15 Javier M. Buldú , Mason A. Porter

Cross-center data heterogeneity and annotation unreliability significantly challenge the intelligent diagnosis of diseases using brain signals. A notable example is the EEG-based diagnosis of neurodegenerative diseases, which features…

Signal Processing · Electrical Eng. & Systems 2026-02-09 Zhenxi Song , Ruihan Qin , Huixia Ren , Zhen Liang , Yi Guo , Min Zhang , Zhiguo Zhang

A major issue in harmonic analysis is to capture the phase dependence of frequency representations, which carries important signal properties. It seems that convolutional neural networks have found a way. Over time-series and images,…

Signal Processing · Electrical Eng. & Systems 2019-07-02 Stéphane Mallat , Sixin Zhang , Gaspar Rochette