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Geometric data analysis and learning has emerged as a distinct and rapidly developing research area, increasingly recognized for its effectiveness across diverse applications. At the heart of this field lies curvature, a powerful and…

Machine Learning · Computer Science 2025-10-28 Yasharth Yadav , Kelin Xia

Discrete Forman-Ricci curvature (FRC) is an efficient tool that characterizes essential geometrical features and associated transitions of real-world networks, extending seamlessly to higher-dimensional computations in simplicial complexes.…

Modern artificial neural networks, including convolutional neural networks and vision transformers, have mastered several computer vision tasks, including object recognition. However, there are many significant differences between the…

Computer Vision and Pattern Recognition · Computer Science 2023-01-26 Tiago Oliveira , Tiago Marques , Arlindo L. Oliveira

Brain function emerges from coordinated activity across anatomically connected regions, where structural connectivity (SC) -- the network of white matter pathways - provides the physical substrate for functional connectivity (FC) -- the…

Neurons and Cognition · Quantitative Biology 2025-07-09 Sam Frank Kelemen , Joaquín Gõni , Sérgio Pequito , Arian Ashourvan

Advances in experimental neuroscience have transformed our ability to explore the structure and function of neural circuits. At the same time, advances in machine learning have unleashed the remarkable computational power of artificial…

Neurons and Cognition · Quantitative Biology 2021-11-23 SueYeon Chung , L. F. Abbott

Modern neuroimaging techniques provide us with unique views on brain structure and function; i.e., how the brain is wired, and where and when activity takes place. Data acquired using these techniques can be analyzed in terms of its network…

Image and Video Processing · Electrical Eng. & Systems 2018-01-31 Weiyu Huang , Thomas A. W. Bolton , John D. Medaglia , Danielle S. Bassett , Alejandro Ribeiro , Dimitri Van De Ville

In the past two decades, functional Magnetic Resonance Imaging has been used to relate neuronal network activity to cognitive processing and behaviour. Recently this approach has been augmented by algorithms that allow us to infer causal…

Quantitative Methods · Quantitative Biology 2019-05-31 Natalia Z. Bielczyk , Sebo Uithol , Tim van Mourik , Paul Anderson , Jeffrey C. Glennon , Jan K. Buitelaar

This paper presents an annotated dataset of brain MRI images designed to advance the field of brain symmetry study. Magnetic resonance imaging (MRI) has gained interest in analyzing brain symmetry in neonatal infants, and challenges remain…

Computer Vision and Pattern Recognition · Computer Science 2024-01-23 Arnaud Gucciardi , Safouane El Ghazouali , Francesca Venturini , Vida Groznik , Umberto Michelucci

Brain connectivity networks, which characterize the functional or structural interaction of brain regions, has been widely used for brain disease classification. Kernel-based method, such as graph kernel (i.e., kernel defined on graphs),…

Machine Learning · Computer Science 2021-01-19 Kai Ma , Biao Jie , Daoqiang Zhang

Resting-state functional magnetic resonance imaging (rsfMRI) is a powerful tool for investigating the relationship between brain function and cognitive processes as it allows for the functional organization of the brain to be captured…

Machine Learning · Computer Science 2025-02-25 Bishal Thapaliya , Esra Akbas , Jiayu Chen , Raam Sapkota , Bhaskar Ray , Pranav Suresh , Vince Calhoun , Jingyu Liu

Deep neural networks learn feature representations via complex geometric transformations of the input data manifold. Despite the models' empirical success across domains, our understanding of neural feature representations is still…

Machine Learning · Computer Science 2025-09-29 Moritz Hehl , Max von Renesse , Melanie Weber

Computational modeling of Multiresolution- Fractional Brownian motion (fBm) has been effective in stochastic multiscale fractal texture feature extraction and machine learning of abnormal brain tissue segmentation. Further, deep…

Image and Video Processing · Electrical Eng. & Systems 2023-06-09 A. Temtam , L. Pei , K. Iftekharuddin

Modern neuroimaging techniques, such as diffusion tensor imaging (DTI) and functional magnetic resonance imaging (fMRI), enable us to model the human brain as a brain network or connectome. Capturing brain networks' structural information…

Functional Magnetic Resonance Imaging (fMRI) relies on multi-step data processing pipelines to accurately determine brain activity; among them, the crucial step of spatial smoothing. These pipelines are commonly suboptimal, given the local…

Computer Vision and Pattern Recognition · Computer Science 2017-10-03 Albert Vilamala , Kristoffer Hougaard Madsen , Lars Kai Hansen

The network architecture of the human brain has become a feature of increasing interest to the neuroscientific community, largely because of its potential to illuminate human cognition, its variation over development and aging, and its…

Neurons and Cognition · Quantitative Biology 2016-11-07 Richard F. Betzel , Danielle S. Bassett

This article describes the application of recently introduced complex networks concepts and methods to the characterization and analysis of cortical bone structure. Three-dimensional reconstructions of the system of channels underlying bone…

Tissues and Organs · Quantitative Biology 2007-05-23 Luciano da Fontoura Costa , Matheus Palhares Viana , Marcelo Emilio Beletti

In this paper, we present a novel and versatile method to study the dynamics of resting-state fMRI brain connectivity with a high temporal sensitivity. Whereas most existing methods often rely on dividing the time-series into larger…

Neurons and Cognition · Quantitative Biology 2016-01-14 William Hedley Thompson , Peter Fransson

Tree-like structures such as retinal images are widely studied in computer-aided diagnosis systems for large-scale screening programs. Despite several segmentation and tracking methods proposed in the literature, there still exist several…

Computer Vision and Pattern Recognition · Computer Science 2017-06-27 Samaneh Abbasi-Sureshjani , Marta Favali , Giovanna Citti , Alessandro Sarti , Bart M. ter Haar Romeny

Recent studies in neuroscience show great potential of functional brain networks constructed from fMRI data for popularity modeling and clinical predictions. However, existing functional brain networks are noisy and unaware of downstream…

Machine Learning · Computer Science 2021-07-26 Xuan Kan , Hejie Cui , Ying Guo , Carl Yang

Understanding the functional architecture of the brain in terms of networks is becoming increasingly common. In most fMRI applications functional networks are assumed to be stationary, resulting in a single network estimated for the entire…

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