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In neuroscience, understanding inter-individual differences has recently emerged as a major challenge, for which functional magnetic resonance imaging (fMRI) has proven invaluable. For this, neuroscientists rely on basic methods such as…

Computer Vision and Pattern Recognition · Computer Science 2020-04-07 Akrem Sellami , François-Xavier Dupé , Bastien Cagna , Hachem Kadri , Stéphane Ayache , Thierry Artières , Sylvain Takerkart

Inpainting has recently emerged as a valuable and interesting technology to employ in the analysis of medical imaging data, in particular brain MRI. A wide variety of methodologies for inpainting MRI have been proposed and demonstrated on…

Computer Vision and Pattern Recognition · Computer Science 2025-04-15 Sergey Kuznetsov , Sanduni Pinnawala , Peter A. Wijeratne , Ivor J. A. Simpson

Functional connections in the brain are frequently represented by weighted networks, with nodes representing locations in the brain, and edges representing the strength of connectivity between these locations. One challenge in analyzing…

Applications · Statistics 2022-09-28 Yura Kim , Daniel Kessler , Elizaveta Levina

Understanding the structure of the brain, and how it changes with time and disease, is a core goal of structural neuroimaging. Contemporary approaches to structural brain analysis are dominated by voxel-wise, mass-univariate methods such as…

Algebraic Topology · Mathematics 2026-04-28 Donato Quiccione , Mariam Pirashvili , Nathan Broomhead , Sean J. Fallon

Scaling temporal dynamics in functional MRI (fMRI) signals have been evidenced for a decade as intrinsic characteristics of ongoing brain activity (Zarahn et al., 1997). Recently, scaling properties were shown to fluctuate across brain…

Statistics Theory · Mathematics 2013-08-21 P. Ciuciu , G. Varoquaux , P. Abry , S. Sadaghiani , A. Kleinschmidt

Brain decoding involves the determination of a subject's cognitive state or an associated stimulus from functional neuroimaging data measuring brain activity. In this setting the cognitive state is typically characterized by an element of a…

Machine Learning · Statistics 2015-04-14 Nicole Croteau , Farouk S. Nathoo , Jiguo Cao , Ryan Budney

Dynamical scaling and ageing in disordered systems far from equilibrium is reviewed. Particular attention is devoted to the question to what extent a recently introduced generalization of dynamical scaling to local scale-invariance can…

Statistical Mechanics · Physics 2007-05-23 Malte Henkel , Michel Pleimling

Human physical reasoning relies on internal "body" representations - coarse, volumetric approximations that capture an object's extent and support intuitive predictions about motion and physics. While psychophysical evidence suggests humans…

Computer Vision and Pattern Recognition · Computer Science 2025-12-02 Andrey Gizdov , Andrea Procopio , Yichen Li , Daniel Harari , Tomer Ullman

Atherosclerotic lesions within carotid and cerebral vessels are likely to influence hemodynamics and manifest into vascular pathologies, including Alzheimers Disease and ischemic stroke. Hemodynamics are influenced by changes in luminal…

Tissues and Organs · Quantitative Biology 2023-03-24 Jennifer Buoncore , Alexis Sobecki , Brian Lee Beatty

The shape and connectivity of a neuron determine its function. Modern imaging methods have proven successful at extracting such information. However, in order to analyze this type of data, neuronal morphology needs to be encoded in a…

Neurons and Cognition · Quantitative Biology 2019-03-07 Tamal Batabyal , Barry Condron , Scott T. Acton

Scaling describes how a given quantity $Y$ that characterizes a system varies with its size $P$. For most complex systems it is of the form $Y\sim P^\beta$ with a nontrivial value of the exponent $\beta$, usually determined by regression…

Physics and Society · Physics 2019-10-16 Marc Barthelemy

The brain processes visual inputs having structure over a large range of spatial scales. The precise mechanisms or algorithms used by the brain to achieve this feat are largely unknown and an open problem in visual neuroscience. In…

Neurons and Cognition · Quantitative Biology 2018-07-04 Keith Hayton , Dimitrios Moirogiannis , Marcelo Magnasco

Characterizing the brain dynamics during different cortical states can reveal valuable information about its patterns across various cognitive processes. In particular, studying the differences between awake and sleep stages can shed light…

The potential for neuromorphic computing to provide intrinsic fault tolerance has long been speculated, but the brain's robustness in neuromorphic applications has yet to be demonstrated. Here, we show that a previously described, natively…

Neural and Evolutionary Computing · Computer Science 2026-03-12 Bradley H. Theilman , James B. Aimone

Learning in the brain requires complementary mechanisms: potentiation and activity-dependent homeostatic scaling. We introduce synaptic scaling to a biologically-realistic spiking model of neocortex which can learn changes in oscillatory…

Neurons and Cognition · Quantitative Biology 2013-04-09 Mark Rowan , Samuel Neymotin

Coherence and phase synchronization between time series corresponding to different spatial locations are usually interpreted as indicators of the connectivity between locations. In neurophysiology, time series of electric neuronal activity…

Methodology · Statistics 2007-07-12 Roberto D. Pascual-Marqui

Cortical activity recorded through EEG and MEG reflects complex dynamics that span multiple temporal and spatial scales. Spectral analyses of these signals consistently reveal power-law behaviour, a hallmark of turbulent systems. In this…

Adaptation and Self-Organizing Systems · Physics 2025-08-01 Gerald Kaushallye Cooray

Hyperbolic geometry has been successfully applied in modeling brain cortical and subcortical surfaces with general topological structures. However such approaches, similar to other surface based brain morphology analysis methods, usually…

Image and Video Processing · Electrical Eng. & Systems 2021-02-23 J. Zhang , Q. Dong , J. Shi , Q. Li , C. M. Stonnington , B. A. Gutman , K. Chen , E. M. Reiman , R. J. Caselli , P. M. Thompson , J. Ye , Y. Wang

In the human brain, the allowed patterns of activity are constrained by the correlations between brain regions. Yet it remains unclear which correlations -- and how many -- are needed to predict large-scale neural activity. Here, we present…

Biological Physics · Physics 2025-10-21 Nicholas J. Weaver , Joshua I. Faskowitz , Richard F. Betzel , Christopher W. Lynn

In Functional Data Analysis, data are commonly assumed to be smooth functions on a fixed interval of the real line. In this work, we introduce a comprehensive framework for the analysis of functional data, whose domain is a two-dimensional…

Methodology · Statistics 2019-08-02 Eardi Lila , John A. D. Aston
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