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Human brain activity is often measured using the blood-oxygen-level dependent (BOLD) signals obtained through functional magnetic resonance imaging (fMRI). The strength of connectivity between brain regions is then measured as a Pearson…

Other Quantitative Biology · Quantitative Biology 2022-05-20 Moo K. Chung , Zijian Chen

We introduce a graphical method originating from the computer graphics domain that is used for the arbitrary and intuitive placement of cells over a two-dimensional manifold. Using a bitmap image as input, where the color indicates the…

Neural and Evolutionary Computing · Computer Science 2018-03-23 Nicolas P. Rougier

Brain connectivity analysis based on magnetic resonance imaging is crucial for understanding neurological mechanisms. However, edge-based connectivity inference faces significant challenges, particularly the curse of dimensionality when…

Methodology · Statistics 2025-12-23 Zijing Li , Chenhao Zeng , Shufei Ge

Recent advancements in understanding the brain's functional organization related to behavior have been pivotal, particularly in the development of predictive models based on brain connectivity. Traditional methods in this domain often…

Applications · Statistics 2024-08-01 Wanwan Xu , Selena Wang , Chichun Tan , Xilin Shen , Wenjing Luo , Todd Constable , Tianxi Li , Yize Zhao

Convolutional layers in graph neural networks are a fundamental type of layer which output a representation or embedding of each graph vertex. The representation typically encodes information about the vertex in question and its…

Machine Learning · Computer Science 2020-08-26 Padraig Corcoran

Since the earliest electroencephalography experiments, large scale oscillations have been observed in the mammalian brain. More recently, episodes of oscillation and bursting have been identified not only in the cerebral cortex and…

Neurons and Cognition · Quantitative Biology 2025-09-03 Daniel Pouzzner

Image segmentation is a central topic in image processing and computer vision and a key issue in many applications, e.g., in medical imaging, microscopy, document analysis and remote sensing. According to the human perception, image…

Numerical Analysis · Mathematics 2022-06-24 Laura Antonelli , Valentina De Simone , Daniela di Serafino

The multi-scale factor models are particularly appealing for analyzing matrix- or tensor-valued data, due to their adaptiveness to local geometry and intuitive interpretation. However, the reliance on the binary tree for recursive…

Methodology · Statistics 2020-02-26 Maoran Xu , Leo L. Duan

Standard detection of evoked brain activity in functional MRI (fMRI) relies on a fixed and known shape of the impulse response of the neurovascular coupling, namely the hemodynamic response function (HRF). To cope with this issue, the joint…

Applications · Statistics 2015-01-07 Aina Frau-Pascual , Thomas Vincent , Florence Forbes , Philippe Ciuciu

An important field of research in functional neuroimaging is the discovery of integrated, distributed brain systems and networks, whose different regions need to work in unison for normal functioning. The EEG is a non-invasive technique…

In this paper, we present a novel method for analysis and segmentation of laminar structure of the cortex based on tissue characteristics whose change across the gray matter underlies distinctive between cortical layers. We develop and…

Computer Vision and Pattern Recognition · Computer Science 2019-12-16 Andrija Štajduhar , Tomislav Lipić , Goran Sedmak , Sven Lončarić , Miloš Judaš

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

Brain fiber tracts are widely used in studying brain diseases, which may lead to a better understanding of how disease affects the brain. The segmentation of brain fiber tracts assumed enormous importance in disease analysis. In this paper,…

Neurons and Cognition · Quantitative Biology 2020-11-04 Chaoqing Xu , Guodao Sun , Ronghua Liang , Xiufang Xu

In this paper, we will study the following pattern recognition problem: Every pattern is a 3-dimensional graph, its surface can be split up into some regions, every region is composed of the pixels with the approximately same colour value…

Neurons and Cognition · Quantitative Biology 2017-03-07 YongHong Chen

Human parsing is for pixel-wise human semantic understanding. As human bodies are underlying hierarchically structured, how to model human structures is the central theme in this task. Focusing on this, we seek to simultaneously exploit the…

Computer Vision and Pattern Recognition · Computer Science 2020-03-12 Wenguan Wang , Hailong Zhu , Jifeng Dai , Yanwei Pang , Jianbing Shen , Ling Shao

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

In this paper we develop a geometrical model of functional architecture for the processing of spatio-temporal visual stimuli. The model arises from the properties of the receptive field linear dynamics of orientation and speed-selective…

Analysis of PDEs · Mathematics 2013-05-06 Davide Barbieri , Giovanna Citti , Giacomo Cocci , Alessandro Sarti

One fascinating aspect of the brain is its ability to process information in a fast and reliable manner. The functional architecture is thought to play a central role in this task, by encoding efficiently complex stimuli and facilitating…

Neurons and Cognition · Quantitative Biology 2016-02-17 Alberto Romagnoni , Jérôme Ribot , Daniel Bennequin , Jonathan D. Touboul

We present GeoSP, a parallel method that creates a parcellation of the cortical mesh based on a geodesic distance, in order to consider gyri and sulci topology. The method represents the mesh with a graph and performs a K-means clustering…

Computer Vision and Pattern Recognition · Computer Science 2021-03-29 Narciso López-López , Andrea Vázquez , Cyril Poupon , Jean-François Mangin , Susana Ladra , Pamela Guevara

Ordered polarity alignment of a cell population plays a vital role in biology, such as in hair follicle alignment and asymmetric cell division. Here, we propose a theoretical framework for the understanding of generic dynamical properties…

Pattern Formation and Solitons · Physics 2016-12-13 Kaori Sugimura , Hiroshi Kori
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