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In data clustering, it is often desirable to find not just a single partition into clusters but a sequence of partitions that describes the data at different scales (or levels of coarseness). A natural problem then is to analyse and compare…

Algebraic Topology · Mathematics 2025-04-25 Juni Schindler , Mauricio Barahona

The individual variabilities of electroencephalogram signals pose great challenges to cross-subject motor imagery (MI) classification, especially for the data-scarce single-source to single-target (STS) scenario. The multi-scale spatial…

Neurons and Cognition · Quantitative Biology 2024-11-12 Chen Zhige , Qin Chengxuan

The human brains are organized into hierarchically modular networks facilitating efficient and stable information processing and supporting diverse cognitive processes during the course of development. While the remarkable reconfiguration…

Neurons and Cognition · Quantitative Biology 2020-09-16 Xuyun Wen , Liming Hsu , Weili Lin , Han Zhang , Dinggang Shen

The use of brain images as markers for diseases or behavioral differences is challenged by the small effects size and the ensuing lack of power, an issue that has incited researchers to rely more systematically on large cohorts. Coupled…

Machine Learning · Statistics 2015-11-17 Bertrand Thirion , Andrés Hoyos-Idrobo , Jonas Kahn , Gael Varoquaux

Recent advances in deep learning structured state space models, especially the Mamba architecture, have demonstrated remarkable performance improvements while maintaining linear complexity. In this study, we introduce functional…

Machine Learning · Computer Science 2025-03-24 Yuxiang Wei , Anees Abrol , Vince Calhoun

Human brain functional connectivity (FC) is often measured as the similarity of functional MRI responses across brain regions when a brain is either resting or performing a task. This paper aims to statistically analyze the dynamic nature…

Computer Vision and Pattern Recognition · Computer Science 2024-10-30 Mengyu Dai , Zhengwu Zhang , Anuj Srivastava

Constraining the many biological parameters that govern cortical dynamics is computationally and conceptually difficult because of the curse of dimensionality. This paper addresses these challenges by proposing (1) a novel data-informed…

Neurons and Cognition · Quantitative Biology 2021-12-30 Zhuo-Cheng Xiao , Kevin K. Lin , Lai-Sang Young

The brain is a paradigmatic example of a complex system as its functionality emerges as a global property of local mesoscopic and microscopic interactions. Complex network theory allows to elicit the functional architecture of the brain in…

Neurons and Cognition · Quantitative Biology 2017-01-18 Rossana Mastrandrea , Andrea Gabrielli , Fabrizio Piras , Gianfranco Spalletta , Guido Caldarelli , Tommaso Gili

We study variants of hierarchical modular network models suggested by Kaiser and Hilgetag [Frontiers in Neuroinformatics, 4 (2010) 8] to model functional brain connectivity, using extensive simulations and quenched mean-field theory (QMF),…

Disordered Systems and Neural Networks · Physics 2015-09-25 Géza Ódor , Ronald Dickman , Gergely Ódor

Compressed sensing MRI is a classic inverse problem in the field of computational imaging, accelerating the MR imaging by measuring less k-space data. The deep neural network models provide the stronger representation ability and faster…

Computer Vision and Pattern Recognition · Computer Science 2018-04-05 Zhiwen Fan , Liyan Sun , Xinghao Ding , Yue Huang , Congbo Cai , John Paisley

Data produced by resting-state functional Magnetic Resonance Imaging are widely used to infer brain functional connectivity networks. Such networks correlate neural signals to connect brain regions, which consist in groups of dependent…

Methodology · Statistics 2023-12-05 Hanâ Lbath , Alexander Petersen , Sophie Achard

The literature on high-dimensional functional data focuses on either the dependence over time or the correlation among functional variables. In this paper, we propose a factor-guided functional principal component analysis (FaFPCA) method…

Methodology · Statistics 2022-11-23 Shoudao Wen , Huazhen Lin

Simultaneous recordings from N electrodes generate N-dimensional time series that call for efficient representations to expose relevant aspects of the underlying dynamics. Binning the time series defines neural activity vectors that…

Neurons and Cognition · Quantitative Biology 2017-07-05 Gabriel Baglietto , Guido Gigante , Paolo Del Giudice

Structure entails function and thus a structural description of the brain will help to understand its function and may provide insights into many properties of brain systems, from their robustness and recovery from damage, to their dynamics…

Neurons and Cognition · Quantitative Biology 2008-08-27 Marcus Kaiser , Robert Martin , Peter Andras , Malcolm P. Young

Resting-state fMRI has been shown to provide surrogate biomarkers for the analysis of various diseases. In addition, fMRI data helps in understanding the brain's functional working during resting state and task-induced activity. To improve…

Machine Learning · Computer Science 2021-10-11 Dushyant Sahoo , Christos Davatzikos

Factor models are a class of powerful statistical models that have been widely used to deal with dependent measurements that arise frequently from various applications from genomics and neuroscience to economics and finance. As data are…

Methodology · Statistics 2018-08-14 Jianqing Fan , Kaizheng Wang , Yiqiao Zhong , Ziwei Zhu

Large-scale neuroimaging studies often collect data from multiple scanners across different sites, where variations in scanners, scanning procedures, and other conditions across sites can introduce artificial site effects. These effects may…

Methodology · Statistics 2026-05-26 Rongqian Zhang , Elena Tuzhilina , Jun Young Park

Now over 20 years old, functional MRI (fMRI) has a large and growing literature that is best synthesised with meta-analytic tools. As most authors do not share image data, only the peak activation coordinates (foci) reported in the paper…

The connectome, a map of the structural and/or functional connections in the brain, provides a complex representation of the neurobiological phenotypes on which it supervenes. This information-rich data modality has the potential to…

The estimation of sparse hierarchical components reflecting patterns of the brain's functional connectivity from rsfMRI data can contribute to our understanding of the brain's functional organization, and can lead to biomarkers of diseases.…

Machine Learning · Computer Science 2021-04-22 Dushyant Sahoo , Christos Davatzikos