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High-dimensional data and high-dimensional representations of reality are inherent features of modern Artificial Intelligence systems and applications of machine learning. The well-known phenomenon of the "curse of dimensionality" states:…

Machine Learning · Computer Science 2020-01-22 Alexander N. Gorban , Valery A. Makarov , Ivan Y. Tyukin

The intricate nature of the brain necessitates the application of advanced probing techniques to comprehensively study and understand its working mechanisms. Neurophotonics offers minimally invasive methods to probe the brain using optics…

Functional brain imaging allows measuring dynamic functionality in all brain regions. It is broadly used in clinical cognitive neuroscience as, well as in research. It will allow the observation of neural activities in the brain…

Medical Physics · Physics 2016-04-01 Saman Sarraf , Jian Sun

Recent cellular-level volumetric brain reconstructions have revealed high levels of anatomic complexity. Determining which structural aspects of the brain to focus on, especially when comparing with computational models and other organisms,…

Disordered Systems and Neural Networks · Physics 2023-09-29 Helen S. Ansell , István A. Kovács

In the field theories in physics, any particular region of the presumed space-time continuum and all interactions between elementary objects therein can be objectively measured and/or accounted for mathematically. Since this does not apply…

Neurons and Cognition · Quantitative Biology 2022-01-19 Birgitta Dresp-Langley

The term quantum neural computing indicates a unity in the functioning of the brain. It assumes that the neural structures perform classical processing and that the virtual particles associated with the dynamical states of the structures…

Neural and Evolutionary Computing · Computer Science 2013-03-15 Subhash Kak

We propose a method that combines signals from many brain regions observed in functional Magnetic Resonance Imaging (fMRI) to predict the subject's behavior during a scanning session. Such predictions suffer from the huge number of brain…

Computer Vision and Pattern Recognition · Computer Science 2011-04-29 Vincent Michel , Alexandre Gramfort , Gaël Varoquaux , Evelyn Eger , Christine Keribin , Bertrand Thirion

We begin this chapter with the bold claim that it provides a neuroscientific explanation of the magic of creativity. Creativity presents a formidable challenge for neuroscience. Neuroscience generally involves studying what happens in the…

Neurons and Cognition · Quantitative Biology 2019-07-09 Liane Gabora , Apara Ranjan

Mental and cognitive representations are believed to reside on low-dimensional, non-linear manifolds embedded within high-dimensional brain activity. Uncovering these manifolds is key to understanding individual differences in brain…

Machine Learning · Computer Science 2025-05-02 Eloy Geenjaar , Vince Calhoun

Learning requires the traversal of inherently distinct cognitive states to produce behavioral adaptation. Yet, tools to explicitly measure these states with non-invasive imaging -- and to assess their dynamics during learning -- remain…

We examine the behaviour of gravity in brane theories with extra dimensions in a non-factorizable geometry. We find that for metrics which are asymptotically flat far from the brane there is a resonant graviton mode at zero energy. The…

High Energy Physics - Theory · Physics 2008-11-26 Csaba Csaki , Joshua Erlich , Timothy J. Hollowood

The brain can be considered as a system that dynamically optimizes the structure of anatomical connections based on the efficiency requirements of functional connectivity. To illustrate the power of this principle in organizing the…

Neurons and Cognition · Quantitative Biology 2024-02-07 Carlos Calvo Tapia , Valeriy A. Makarov Slizneva , Cees van Leeuwen

We consider a thick p-brane embedded in an n-dimensional spacetime possessing radial symmetry in the directions orthogonal to the brane. We first consider a static brane, and find a general fine tuning relationship between the brane and…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. A. Appleby , R. A. Battye

We review the idea, due to Einstein, Eddington, Hoyle and Ballard, that time is a subjective label, whose primary purpose is to order events, perhaps in a higher-dimensional universe. In this approach, all moments in time exist…

General Physics · Physics 2015-05-13 Paul S. Wesson

Despite the centrality of the notion of representation in neuroscience, the field lacks a unified framework for the concepts used to characterize representation, leading to disparate use of both terminology and measures associated with it.…

Neurons and Cognition · Quantitative Biology 2026-04-27 Stephan Pohl , Edgar Y. Walker , David L. Barack , Jennifer Lee , Rachel N. Denison , Ned Block , Florent Meyniel , Wei Ji Ma

How does the human brain encode complex visual information? While previous research has characterized individual dimensions of visual representation in cortex, we still lack a comprehensive understanding of how visual information is…

Neurons and Cognition · Quantitative Biology 2026-04-08 Raj Magesh Gauthaman , Brice Ménard , Michael F. Bonner

We present a novel method for quantifying the microscopic structure of brain tissue. It is based on the automated recognition of interpretable features obtained by analyzing the shapes of cells. This contrasts with prevailing methods of…

Computer Vision and Pattern Recognition · Computer Science 2024-04-10 Kui Qian , Litao Qiao , Beth Friedman , Edward O'Donnell , David Kleinfeld , Yoav Freund

This is a comment on both Gruber et al (2022) and Bunamano and Rovelli (2022), which discuss the relation between physical time and human time. I claim here, contrary to many views discussed there, that there is no foundational conflict…

General Relativity and Quantum Cosmology · Physics 2023-10-31 George F R Ellis

Bounding volumes are an established concept in computer graphics and vision tasks but have seen little change since their early inception. In this work, we study the use of neural networks as bounding volumes. Our key observation is that…

Graphics · Computer Science 2024-05-27 Stephanie Wenxin Liu , Michael Fischer , Paul D. Yoo , Tobias Ritschel

Connectomics and network neuroscience offer quantitative scientific frameworks for modeling and analyzing networks of structurally and functionally interacting neurons, neuronal populations, and macroscopic brain areas. This shift in…

Neurons and Cognition · Quantitative Biology 2020-10-06 Richard Betzel