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The paper tackles the problem of clustering multiple networks, directed or not, that do not share the same set of vertices, into groups of networks with similar topology. A statistical model-based approach based on a finite mixture of…

Statistics Theory · Mathematics 2023-11-07 Tabea Rebafka

Identifying the brain's neuronal cluster size to be presented as nodes in a network computation is critical to both neuroscience and artificial intelligence, as these define the cognitive blocks required for building intelligent…

Neurons and Cognition · Quantitative Biology 2020-02-26 Anar Amgalan , Patrick Taylor , Lilianne R. Mujica-Parodi , Hava T. Siegelmann

Inferring the functional specificity of brain regions from functional Magnetic Resonance Images (fMRI) data is a challenging statistical problem. While the General Linear Model (GLM) remains the standard approach for brain mapping,…

Machine Learning · Computer Science 2012-07-17 Fabian Pedregosa , Alexandre Gramfort , Gaël Varoquaux , Bertrand Thirion , Christophe Pallier , Elodie Cauvet

We present clustering methods for multivariate data exploiting the underlying geometry of the graphical structure between variables. As opposed to standard approaches that assume known graph structures, we first estimate the edge structure…

Methodology · Statistics 2015-09-28 Sayantan Banerjee , Rehan Akbani , Veerabhadran Baladandayuthapani

We formulate a novel technique for the detection of functional clusters in discrete event data. The advantage of this algorithm is that no prior knowledge of the number of functional groups is needed, as our procedure progressively combines…

Neurons and Cognition · Quantitative Biology 2015-05-13 S. Feldt , J. Waddell , V. L. Hetrick , J. D. Berke , M. Zochowski

fMRI is a non-invasive technique for investigating brain activity, offering high-resolution insights into neural processes. Understanding and decoding cognitive brain states from fMRI depends on how functional interactions are represented.…

Neurons and Cognition · Quantitative Biology 2026-02-23 Daniil Vlasenko , Vadim Ushakov , Alexey Zaikin , Denis Zakharov

We propose a deep clustering architecture alongside image segmentation for medical image analysis. The main idea is based on unsupervised learning to cluster images on severity of the disease in the subject's sample, and this image is then…

Image and Video Processing · Electrical Eng. & Systems 2020-05-28 Sharmin Pathan , Anant Tripathi

Brain tumor analysis in MRI images is a significant and challenging issue because misdiagnosis can lead to death. Diagnosis and evaluation of brain tumors in the early stages increase the probability of successful treatment. However, the…

Image and Video Processing · Electrical Eng. & Systems 2021-12-30 Zahra Sobhaninia , Nader Karimi , Pejman Khadivi , Shadrokh Samavi

Networks (or graphs) appear as dominant structures in diverse domains, including sociology, biology, neuroscience and computer science. In most of the aforementioned cases graphs are directed - in the sense that there is directionality on…

Social and Information Networks · Computer Science 2015-06-16 Fragkiskos D. Malliaros , Michalis Vazirgiannis

Modern neural recording techniques allow neuroscientists to obtain spiking activity of multiple neurons from different brain regions over long time periods, which requires new statistical methods to be developed for understanding structure…

Applications · Statistics 2023-12-29 Ganchao Wei

The Grassmannian manifold G(k, n) serves as a fundamental tool in signal processing, computer vision, and machine learning, where problems often involve classifying, clustering, or comparing subspaces. In this work, we propose a…

Signal Processing · Electrical Eng. & Systems 2025-05-01 Rémi Delogne , Laurent Jacques

The clustering coefficient quantifies the abundance of connected triangles in a network and is a major descriptive statistics of networks. For example, it finds an application in the assessment of small-worldness of brain networks, which is…

Physics and Society · Physics 2018-06-28 Naoki Masuda , Michiko Sakaki , Takahiro Ezaki , Takamitsu Watanabe

It has been classically conjectured that the brain assigns probabilistic models to sequences of stimuli. An important issue associated with this conjecture is the identification of the classes of models used by the brain to perform this…

Neurons and Cognition · Quantitative Biology 2023-12-29 Fernando A. Najman , Antonio Galves , Marcela Svarc , Claudia D. Vargas

Today, the human brain can be studied as a whole. Electroencephalography, magnetoencephalography, or functional magnetic resonance imaging techniques provide functional connectivity patterns between different brain areas, and during…

Data Analysis, Statistics and Probability · Physics 2011-01-21 Mario Chavez , Miguel Valencia , Vito Latora , Jacques Martinerie

Deep learning approaches such as convolutional neural nets have consistently outperformed previous methods on challenging tasks such as dense, semantic segmentation. However, the various proposed networks perform differently, with behaviour…

Computer Vision and Pattern Recognition · Computer Science 2017-11-07 Konstantinos Kamnitsas , Wenjia Bai , Enzo Ferrante , Steven McDonagh , Matthew Sinclair , Nick Pawlowski , Martin Rajchl , Matthew Lee , Bernhard Kainz , Daniel Rueckert , Ben Glocker

Understanding how large-scale functional brain networks reorganize during cognitive decline remains a central challenge in neuroimaging. While recent self-supervised models have shown promise for learning representations from resting-state…

Machine Learning · Computer Science 2026-03-03 Karanpartap Singh , Adam Turnbull , Mohammad Abbasi , Kilian Pohl , Feng Vankee Lin , Ehsan Adeli

Correlation matrices are fundamental summaries of functional brain networks, yet standard analyses often treat entries independently, ignoring the curved geometry of correlation space. Existing geometric methods frequently lack closed-form…

Machine Learning · Computer Science 2026-05-22 Mario Severino , Manuela Moretto , Robert A. McCutcheon , Mattia Veronese

Biological and social systems consist of myriad interacting units. The interactions can be represented in the form of a graph or network. Measurements of these graphs can reveal the underlying structure of these interactions, which provides…

Machine Learning · Statistics 2017-10-25 Norbert Binkiewicz , Joshua T. Vogelstein , Karl Rohe

To characterize atypical brain dynamics under diseases, prevalent studies investigate functional magnetic resonance imaging (fMRI). However, most of the existing analyses compress rich spatial-temporal information as the brain functional…

Image and Video Processing · Electrical Eng. & Systems 2023-05-08 Xiaozhao Liu , Mianxin Liu , Lang Mei , Yuyao Zhang , Feng Shi , Han Zhang , Dinggang Shen

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
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