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Graph theory is now becoming a standard tool in system-level neuroscience. However, endowing observed brain anatomy and dynamics with a complex network structure does not entail that the brain actually works as a network. Asking whether the…

Neurons and Cognition · Quantitative Biology 2024-12-24 D. Papo , J. M. Buldú

Degeneration and adaptation are two competing sides of the same coin called resilience in the progressive processes of brain aging or diseases. Degeneration accumulates during brain aging and other cerebral activities, causing structural…

Recent years have seen fast advances in neural recording circuits and systems as they offer a promising way to investigate real-time brain monitoring and the closed-loop modulation of psychological disorders and neurodegenerative diseases.…

Signal Processing · Electrical Eng. & Systems 2022-05-30 Jinbo Chen , Mahdi Tarkhan , Hui Wu , Fereidoon Hashemi Noshahr , Jie Yang , Mohamad Sawan

Transformer-based deep NLP models are trained using hundreds of millions of parameters, limiting their applicability in computationally constrained environments. In this paper, we study the cause of these limitations by defining a notion of…

Computation and Language · Computer Science 2020-10-07 Fahim Dalvi , Hassan Sajjad , Nadir Durrani , Yonatan Belinkov

The brain did not develop a dedicated device for reasoning. This fact bears dramatic consequences. While for perceptuo-motor functions neural activity is shaped by the input's statistical properties, and processing is carried out at high…

Neurons and Cognition · Quantitative Biology 2015-04-21 David Papo

Understanding how different networks relate to each other is key for obtaining a greater insight into complex systems. Here, we introduce an intuitive yet powerful framework to characterise the relationship between two networks comprising…

Social and Information Networks · Computer Science 2023-08-09 Andrea I. Luppi , Eckehard Olbrich , Conor Finn , Laura E. Suárez , Fernando E. Rosas , Pedro A. M. Mediano , Jürgen Jost

We view a neural network as a distributed system of which neurons can fail independently, and we evaluate its robustness in the absence of any (recovery) learning phase. We give tight bounds on the number of neurons that can fail without…

Machine Learning · Statistics 2017-06-28 El Mahdi El Mhamdi , Rachid Guerraoui

We provide a brief review of the common assumptions about biological learning with findings from experimental neuroscience and contrast them with the efficiency of gradient-based learning in recurrent neural networks. The key issues…

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

Brain disorders in the early and late life of humans potentially share pathological alterations in brain functions. However, the key evidence from neuroimaging data for pathological commonness remains unrevealed. To explore this hypothesis,…

Artificial Intelligence · Computer Science 2023-02-24 Mianxin Liu , Jingyang Zhang , Yao Wang , Yan Zhou , Fang Xie , Qihao Guo , Feng Shi , Han Zhang , Qian Wang , Dinggang Shen

The brain is a complex system comprising a myriad of interacting elements, posing significant challenges in understanding its structure, function, and dynamics. Network science has emerged as a powerful tool for studying such intricate…

The central problem with understanding brain and mind is the neural code issue: understanding the matter of our brain as basis for the phenomena of our mind. The richness with which our mind represents our environment, the parsimony of…

Neurons and Cognition · Quantitative Biology 2018-11-06 Christoph von der Malsburg

Neurofeedback is a form of brain training in which subjects are fed back information about some measure of their brain activity which they are instructed to modify in a way thought to be functionally advantageous. Over the last twenty…

Neurons and Cognition · Quantitative Biology 2018-05-15 David Papo

Degeneracy is the ability of structurally different elements to perform the same function or yield the same output under certain constraints. In contrast to redundancy, which implies identical backups, degeneracy allows diverse components…

Networking and Internet Architecture · Computer Science 2025-06-26 Indrakshi Dey , Nicola Marchetti

We address the problem of stability of motor actions implemented by the central nervous system based on simple algorithms potentially reflecting physical (including physiological) processes within the body. A number of conceptually simple…

Neurons and Cognition · Quantitative Biology 2015-06-24 V. M. Akulin , F. Carlier , Stanislaw Solnik , M. L. Latash

In this paper, we consider the problem of quantifying systemic redundancy in reliable systems having multiple controllers with overlapping functionality. In particular, we consider a multi-channel system with multi-controller configurations…

Dynamical Systems · Mathematics 2015-02-17 Getachew K. Befekadu , Panos J. Antsaklis

The human brain exhibits a complex structure made of scale-free highly connected modules loosely interconnected by weaker links to form a small-world network. These features appear in healthy patients whereas neurological diseases often…

Neurons and Cognition · Quantitative Biology 2014-03-26 Roberta Russo , Hans J Herrmann , Lucilla de Arcangelis

It is widely accepted that the complex dynamics characteristic of recurrent neural circuits contributes in a fundamental manner to brain function. Progress has been slow in understanding and exploiting the computational power of recurrent…

Chaotic Dynamics · Physics 2013-07-18 Rodrigo Laje , Dean V. Buonomano

Noise is an inherent part of neuronal dynamics, and thus of the brain. It can be observed in neuronal activity at different spatiotemporal scales, including in neuronal membrane potentials, local field potentials, electroencephalography,…

Neurons and Cognition · Quantitative Biology 2019-01-03 Daqing Guo , Matjaz Perc , Tiejun Liu , Dezhong Yao

The cerebral cortex spontaneously displays different patterns of activity that evolve over time according to the brain state. Sleep, wakefulness, resting states, and attention are examples of a wide spectrum of physiological states that can…