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Neurons in the brain are often finely tuned for specific task variables. Moreover, such disentangled representations are highly sought after in machine learning. Here we mathematically prove that simple biological constraints on neurons,…

Neurons and Cognition · Quantitative Biology 2023-04-04 James C. R. Whittington , Will Dorrell , Surya Ganguli , Timothy E. J. Behrens

In systems neuroscience, most models posit that brain regions communicate information under constraints of efficiency. Yet, evidence for efficient communication in structural brain networks characterized by hierarchical organization and…

Neural networks encode information through their collective spiking activity in response to external stimuli. This population response is noisy and strongly correlated, with complex interplay between correlations induced by the stimulus,…

Neurons and Cognition · Quantitative Biology 2022-11-28 Gabriel Mahuas , Olivier Marre , Thierry Mora , Ulisse Ferrari

It is frequently hypothesized that cortical networks operate close to a critical point. Advantages of criticality include rich dynamics well-suited for computation and critical slowing down, which may offer a mechanism for dynamic memory.…

Disordered Systems and Neural Networks · Physics 2024-01-30 Michael Dick , Alexander van Meegen , Moritz Helias

The brain is a paradigmatic example of a complex system as its functionality emerges as a global property of local mesoscopic and microscopic interactions. Complex network theory allows to elicit the functional architecture of the brain in…

Neurons and Cognition · Quantitative Biology 2017-01-18 Rossana Mastrandrea , Andrea Gabrielli , Fabrizio Piras , Gianfranco Spalletta , Guido Caldarelli , Tommaso Gili

Similar to how differences in the proficiency of the cardiovascular and musculoskeletal system predict an individual's athletic ability, differences in how the same brain region encodes information across individuals may explain their…

Neurons and Cognition · Quantitative Biology 2021-12-14 Jennifer Williams , Leila Wehbe

Functional brain network has been widely studied to understand the relationship between brain organization and behavior. In this paper, we aim to explore the functional connectivity of brain network under a \emph{multi-step} cognitive task…

Neurons and Cognition · Quantitative Biology 2017-12-06 Shi-Min Cai , Wei Chen , Dong-Bai Liu , Ming Tang , Xun Chen

The existence of power-law distributions is only a first requirement in the validation of the critical behavior of a system. Long-range spatio-temporal correlations are fundamental for the spontaneous neuronal activity to be the expression…

Statistical Mechanics · Physics 2018-11-27 Fabrizio Lombardi , Hans J. Herrmann , L. de Arcangelis

Cognition and language seem closely related to the human cognitive process, although they have not been studied and investigated in detail. Our brain is too complex to fully comprehend the structures and connectivity, as well as its…

Neurons and Cognition · Quantitative Biology 2022-10-26 Zang-Hee Cho , Sun-Ha Paek , Young-Bo Kim , Taigyoun Cho , Hyejin Jeong , Haigun Lee

This paper proposes to study neural networks through neuronal correlation, a statistical measure of correlated neuronal activity on the penultimate layer. We show that neuronal correlation can be efficiently estimated via weight matrix, can…

Machine Learning · Computer Science 2022-01-25 Gaojie Jin , Xinping Yi , Xiaowei Huang

Partial synchronization plays a crucial role in the functioning of neuronal networks: selective, coordinated activation of neurons enables information processing that flexibly adapts to a changing computational context. Since the structure…

Neurons and Cognition · Quantitative Biology 2025-06-17 Daniil Radushev , Olesia Dogonasheva , Boris Gutkin , Denis Zakharov

Human brains are arguably the most complex entities known. Composed of billions of neurons, connected via a highly detailed structure where the underlying method by which functionality occurs is still debated. Here we consider one theory…

Neurons and Cognition · Quantitative Biology 2019-03-26 Jon Borresen , Killian O'Brien

Hierarchies feature prominently in anatomical accounts of cortical organisation. An open question is which computational (algorithmic) processes are implemented by these hierarchies. One renowned hypothesis is that cortical hierarchies…

Neurons and Cognition · Quantitative Biology 2017-09-08 Andreea O. Diaconescu , Vladimir Litvak , Christoph Mathys , Lars Kasper , Karl J. Friston , Klaas E. Stephan

The field of computational modeling of the brain is advancing so rapidly that now it is possible to model large scale networks representing different brain regions with a high level of biological detail in terms of numbers and synapses. For…

A large repertoire of spatiotemporal activity patterns in the brain is the basis for adaptive behaviour. Understanding the mechanism by which the brain's hundred billion neurons and hundred trillion synapses manage to produce such a range…

Neurons and Cognition · Quantitative Biology 2010-10-14 Dante R. Chialvo

Spontaneous brain activity, as observed in functional neuroimaging, has been shown to display reproducible structure that expresses brain architecture and carries markers of brain pathologies. An important view of modern neuroscience is…

Machine Learning · Statistics 2010-11-15 Gaël Varoquaux , Alexandre Gramfort , Jean Baptiste Poline , Bertrand Thirion

Addressing the question of visualising human mind could help us to find regions that are associated with observed cognition and responsible for expressing the elusive mental image, leading to a better understanding of cognitive function.…

Neurons and Cognition · Quantitative Biology 2021-02-11 Pan Wang , Rui Zhou , Shuo Wang , Ling Li , Wenjia Bai , Jialu Fan , Chunlin Li , Peter Childs , Yike Guo

Brain activity is intrinsically a neural dynamic process constrained by anatomical space. This leads to significant variations in spatial distribution patterns and correlation patterns of neural activity across variable and heterogeneous…

Machine Learning · Computer Science 2026-03-10 Hongjie Jiang , Yifei Tang , Shuqiang Wang

How much of the brain's learned algorithms depend on the fact it is a brain? We argue: a lot, but surprisingly few details matter. We point to simple biological details -- e.g. nonnegative firing and energetic/space budgets in connectionist…

Neurons and Cognition · Quantitative Biology 2026-01-13 James C. R. Whittington , William Dorrell

Quantification of brain morphology has become an important cornerstone in understanding brain structure. Measures of cortical morphology such as thickness and surface area are frequently used to compare groups of subjects or characterise…

Neurons and Cognition · Quantitative Biology 2020-03-25 Yujiang Wang , Tobias Ludwig , Bethany Little , Joe H Necus , Gavin Winston , Sjoerd B Vos , Jane de Tisi , John S Duncan , Peter N Taylor , Bruno Mota